TSTP Solution File: SWW312+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW312+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 14:40:17 EDT 2024
% Result : Theorem 12.12s 12.36s
% Output : Proof 12.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW312+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Mar 21 01:50:30 EDT 2024
% 0.14/0.34 % CPUTime :
% 12.12/12.36 % SZS status Theorem for theBenchmark
% 12.12/12.36 % SZS output start Proof for theBenchmark
% 12.12/12.36
% 12.12/12.36 % Formula: fact_ext ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_empty ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_asm ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7), tc_HOL_Obool)), _u8), _u9)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u9, _u8) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_weaken ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, _u12) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10), tc_HOL_Obool)), _u13), _u12)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, _u13) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_cut ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u14, _u15, _u16) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u14, _u17, _u15) | c_Hoare__Mirabelle_Ohoare__derivs(_u14, _u17, _u16) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u18, _u19, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u18)), _u20), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u18), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u18, _u19, _u21) | c_Hoare__Mirabelle_Ohoare__derivs(_u18, _u19, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u18)), _u20), _u21)) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u22, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u22, tc_HOL_Obool))), _u23)) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u24, tc_HOL_Obool)), _u25), hAPP(hAPP(c_Set_Oinsert(_u24), _u26), c_Orderings_Obot__class_Obot(tc_fun(_u24, tc_HOL_Obool))))) | ( _u25 = c_Orderings_Obot__class_Obot(tc_fun(_u24, tc_HOL_Obool))) | ( _u25 = hAPP(hAPP(c_Set_Oinsert(_u24), _u26), c_Orderings_Obot__class_Obot(tc_fun(_u24, tc_HOL_Obool)))) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u27, tc_HOL_Obool)), _u28), _u29)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u27, tc_HOL_Obool)), _u29), _u28)) | ( _u28 = _u29) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u30) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u30), _u31), _u31)) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u32) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u33, _u32)), _u34) = c_Orderings_Obot__class_Obot(_u32)) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u35, tc_HOL_Obool)), _u36), hAPP(hAPP(c_Set_Oinsert(_u35), _u37), _u36))) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 12.12/12.36 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u38, tc_HOL_Obool)), _u39), _u40)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u38, tc_HOL_Obool)), _u39), hAPP(hAPP(c_Set_Oinsert(_u38), _u41), _u40))) )).
% 12.12/12.36
% 12.12/12.36 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u42, tc_HOL_Obool)), _u43), _u44)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u42, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u42), _u45), _u43)), hAPP(hAPP(c_Set_Oinsert(_u42), _u45), _u44))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u50), c_Orderings_Obot__class_Obot(tc_fun(_u48, tc_HOL_Obool)))) | ( _u50 = c_Orderings_Obot__class_Obot(tc_fun(_u48, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_subset__empty-2, axiom, ( ( _u51 != c_Orderings_Obot__class_Obot(tc_fun(_u49, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u49, tc_HOL_Obool)), _u51), c_Orderings_Obot__class_Obot(tc_fun(_u49, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u52, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u52), _u53), _u54)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u55), _u56), _u57) != c_Orderings_Obot__class_Obot(tc_fun(_u55, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u65 = _u71) )).
% 12.21/12.36 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u67 = _u69) )).
% 12.21/12.36 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u65 = _u71) )).
% 12.21/12.36 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u67 = _u69) )).
% 12.21/12.36 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 != _u70) | ( _u68 != _u72) )).
% 12.21/12.36 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 != _u72) | ( _u68 != _u70) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u73) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u73), _u74), _u75)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u73), _u75), _u74)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u76) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u76), _u77), _u78)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u76), _u79), _u77)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u76), _u79), _u78)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u80) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u80), _u81), _u82)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u80), _u82), _u81)) | ( _u82 = _u81) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u83) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u83), _u84), _u85)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u83), _u85), _u86)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u83), _u84), _u86)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u87) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u87), _u88), _u89)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u87), _u89), _u88)) | ( _u88 = _u89) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u90) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u90), _u91), _u92)) | ( _u91 != _u93) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u90), _u93), _u92)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u94) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u95), _u96)) | ( _u96 != _u97) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u95), _u97)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u98) | ( _u99 != _u100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u98), _u101), _u100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u98), _u101), _u99)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u102) | ( _u103 != _u104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u102), _u104), _u105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u102), _u103), _u105)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u107), _u108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u108), _u107)) | ( _u108 = _u107) )).
% 12.21/12.36 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u107), _u108)) | ( _u108 != _u107) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u108), _u107)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u109) | ( _u110 != _u111) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u109), _u110), _u111)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u112) | ( _u113 != _u114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u113), _u114)) )).
% 12.21/12.36 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u112) | ( _u113 != _u114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u114), _u113)) )).
% 12.21/12.36 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u112) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u113), _u114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u114), _u113)) | ( _u113 = _u114) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u115) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u116), _u117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u117), _u116)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__code-1, axiom, ( ( _u124 = _u128) | hBOOL(hAPP(_u126, _u128)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u122), _u124), _u126), _u128)) )).
% 12.21/12.36 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u123), _u125), _u127), _u129)) | ( _u125 != _u129) )).
% 12.21/12.36 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u123), _u125), _u127), _u129)) | ~hBOOL(hAPP(_u127, _u129)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u130), _u131), hAPP(hAPP(c_Set_Oinsert(_u130), _u132), _u133)) = hAPP(hAPP(c_Set_Oinsert(_u130), _u132), hAPP(hAPP(c_Set_Oinsert(_u130), _u131), _u133))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u134), _u135), hAPP(hAPP(c_Set_Oinsert(_u134), _u135), _u136)) = hAPP(hAPP(c_Set_Oinsert(_u134), _u135), _u136)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_equalityE-1, axiom, ( ( _u137 != _u138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u139, tc_HOL_Obool)), _u137), _u138)) )).
% 12.21/12.36 cnf(fact_equalityE-2, axiom, ( ( _u137 != _u138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u139, tc_HOL_Obool)), _u138), _u137)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u140, tc_HOL_Obool)), _u141), _u142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u140, tc_HOL_Obool)), _u142), _u143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u140, tc_HOL_Obool)), _u141), _u143)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_equalityD2-1, axiom, ( ( _u144 != _u145) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u146, tc_HOL_Obool)), _u145), _u144)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_equalityD1-1, axiom, ( ( _u147 != _u148) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u149, tc_HOL_Obool)), _u147), _u148)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_set__eq__subset-1, axiom, ( ( _u153 != _u155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u157, tc_HOL_Obool)), _u153), _u155)) )).
% 12.21/12.36 cnf(fact_set__eq__subset-2, axiom, ( ( _u153 != _u155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u157, tc_HOL_Obool)), _u155), _u153)) )).
% 12.21/12.36 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u158, tc_HOL_Obool)), _u154), _u156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u158, tc_HOL_Obool)), _u156), _u154)) | ( _u154 = _u156) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), _u160), _u160)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u161), c_Orderings_Obot__class_Obot(_u161)), _u162)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u164, _u163)), _u165), _u166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u163), hAPP(_u165, _u167)), hAPP(_u166, _u167))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u169, _u168)), _u170), _u171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u168), hAPP(_u170, _u172)), hAPP(_u171, _u172))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u176, _u175)), _u177), _u178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u175), hAPP(_u177, _u173)), hAPP(_u178, _u173))) )).
% 12.21/12.36 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u175), hAPP(_u177, skolem2(_u178, _u177, _u176, _u175))), hAPP(_u178, skolem2(_u178, _u177, _u176, _u175)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u176, _u175)), _u177), _u178)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u179) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u180, _u179)), _u181) = c_Orderings_Obot__class_Obot(_u179)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_singleton__inject-1, axiom, ( ( _u183 = _u184) | ( hAPP(hAPP(c_Set_Oinsert(_u182), _u183), c_Orderings_Obot__class_Obot(tc_fun(_u182, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u182), _u184), c_Orderings_Obot__class_Obot(tc_fun(_u182, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u185, hAPP(hAPP(c_Set_Oinsert(_u185), _u186), c_Orderings_Obot__class_Obot(tc_fun(_u185, tc_HOL_Obool)))) = _u186) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u188, _u190)) | hBOOL(hAPP(_u189, _u190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u188), _u189)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u191, _u192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u193, tc_HOL_Obool)), _u191), _u194)) | hBOOL(hAPP(_u194, _u192)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u195) | ~class_Enum_Oenum(_u196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u196, _u195)), _u197), _u198)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u196), hAPP(hAPP(c_COMBS(_u196, _u195, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u195, tc_fun(_u195, tc_HOL_Obool), _u196), c_Orderings_Oord__class_Oless__eq(_u195)), _u197)), _u198))) )).
% 12.21/12.36 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u195) | ~class_Enum_Oenum(_u196) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u196), hAPP(hAPP(c_COMBS(_u196, _u195, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u195, tc_fun(_u195, tc_HOL_Obool), _u196), c_Orderings_Oord__class_Oless__eq(_u195)), _u197)), _u198))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u196, _u195)), _u197), _u198)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Least__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Least__le-1, axiom, ( ~class_Orderings_Owellorder(_u199) | ~hBOOL(hAPP(_u200, _u201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u199), c_Orderings_Oord__class_OLeast(_u199, _u200)), _u201)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__funI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__funI-1, axiom, ( ~class_Orderings_Oord(_u203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u203), hAPP(_u204, skolem3(_u206, _u205, _u204, _u203))), hAPP(_u205, skolem3(_u206, _u205, _u204, _u203)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u206, _u203)), _u204), _u205)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_strict__mono__less__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_strict__mono__less__eq-1, axiom, ( ~class_Orderings_Oorder(_u207) | ~class_Orderings_Olinorder(_u208) | ~c_Orderings_Oorder__class_Ostrict__mono(_u208, _u207, _u209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u207), hAPP(_u209, _u210)), hAPP(_u209, _u211))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u208), _u210), _u211)) )).
% 12.21/12.36 cnf(fact_strict__mono__less__eq-2, axiom, ( ~class_Orderings_Oorder(_u207) | ~class_Orderings_Olinorder(_u208) | ~c_Orderings_Oorder__class_Ostrict__mono(_u208, _u207, _u209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u208), _u210), _u211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u207), hAPP(_u209, _u210)), hAPP(_u209, _u211))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u212, _u213) = c_HOL_OThe(_u212, hAPP(hAPP(c_COMBB(tc_fun(_u212, tc_HOL_Obool), tc_HOL_Obool, _u212), hAPP(c_fequal, _u213)), hAPP(hAPP(c_COMBC(_u212, tc_fun(_u212, tc_HOL_Obool), tc_fun(_u212, tc_HOL_Obool)), c_Set_Oinsert(_u212)), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool)))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u217, _u219)) | ( hAPP(c_Set_OCollect(_u221), hAPP(hAPP(c_COMBS(_u221, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u221), c_fconj), hAPP(hAPP(c_COMBC(_u221, _u221, tc_HOL_Obool), c_fequal), _u219))), _u217)) = hAPP(hAPP(c_Set_Oinsert(_u221), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u221, tc_HOL_Obool)))) )).
% 12.21/12.36 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u218, _u220)) | ( hAPP(c_Set_OCollect(_u222), hAPP(hAPP(c_COMBS(_u222, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u222), c_fconj), hAPP(hAPP(c_COMBC(_u222, _u222, tc_HOL_Obool), c_fequal), _u220))), _u218)) = c_Orderings_Obot__class_Obot(tc_fun(_u222, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u226, _u228)) | ( hAPP(c_Set_OCollect(_u230), hAPP(hAPP(c_COMBS(_u230, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u230), c_fconj), hAPP(c_fequal, _u228))), _u226)) = hAPP(hAPP(c_Set_Oinsert(_u230), _u228), c_Orderings_Obot__class_Obot(tc_fun(_u230, tc_HOL_Obool)))) )).
% 12.21/12.36 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u227, _u229)) | ( hAPP(c_Set_OCollect(_u231), hAPP(hAPP(c_COMBS(_u231, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u231), c_fconj), hAPP(c_fequal, _u229))), _u227)) = c_Orderings_Obot__class_Obot(tc_fun(_u231, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u232), hAPP(hAPP(c_COMBC(_u232, _u232, tc_HOL_Obool), c_fequal), _u233)) = hAPP(hAPP(c_Set_Oinsert(_u232), _u233), c_Orderings_Obot__class_Obot(tc_fun(_u232, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u234), hAPP(c_fequal, _u235)) = hAPP(hAPP(c_Set_Oinsert(_u234), _u235), c_Orderings_Obot__class_Obot(tc_fun(_u234, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u236), _u237) = _u237) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_all__code ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u240) | ~hBOOL(hAPP(_u241, skolem4(_u241, _u240))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u240), _u241)) )).
% 12.21/12.36 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u240) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u240), _u241)) | hBOOL(hAPP(_u241, _u239)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u244) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u244), _u245)) | hBOOL(hAPP(_u245, _u242)) )).
% 12.21/12.36 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u244) | ~hBOOL(hAPP(_u245, skolem5(_u245, _u244))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u244), _u245)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_LeastI__ex ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_LeastI__ex-1, axiom, ( ~class_Orderings_Owellorder(_u247) | ~hBOOL(hAPP(_u248, _u246)) | hBOOL(hAPP(_u248, c_Orderings_Oord__class_OLeast(_u247, _u248))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_strict__mono__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_strict__mono__eq-1, axiom, ( ~class_Orderings_Oorder(_u249) | ~class_Orderings_Olinorder(_u250) | ~c_Orderings_Oorder__class_Ostrict__mono(_u250, _u249, _u251) | ( hAPP(_u251, _u252) != hAPP(_u251, _u253)) | ( _u252 = _u253) )).
% 12.21/12.36 cnf(fact_strict__mono__eq-2, axiom, ( ~class_Orderings_Oorder(_u249) | ~class_Orderings_Olinorder(_u250) | ~c_Orderings_Oorder__class_Ostrict__mono(_u250, _u249, _u251) | ( _u252 != _u253) | ( hAPP(_u251, _u252) = hAPP(_u251, _u253)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u260, _u254)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u258, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u258), _u260)) )).
% 12.21/12.36 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u261, skolem6(_u261))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u259, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u259), _u261)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u268, _u262)) | ( hAPP(c_Set_OCollect(_u266), _u268) != c_Orderings_Obot__class_Obot(tc_fun(_u266, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u269, skolem7(_u269))) | ( hAPP(c_Set_OCollect(_u267), _u269) = c_Orderings_Obot__class_Obot(tc_fun(_u267, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_LeastI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_LeastI-1, axiom, ( ~class_Orderings_Owellorder(_u270) | ~hBOOL(hAPP(_u271, _u272)) | hBOOL(hAPP(_u271, c_Orderings_Oord__class_OLeast(_u270, _u271))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u273, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u273), hAPP(c_COMBK(tc_HOL_Obool, _u273), c_fFalse))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u274), _u275), hAPP(c_Set_OCollect(_u274), _u276)) = hAPP(c_Set_OCollect(_u274), hAPP(hAPP(c_COMBS(_u274, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u274), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u274), c_fNot), hAPP(hAPP(c_COMBC(_u274, _u274, tc_HOL_Obool), c_fequal), _u275)))), _u276))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u277, _u278) = c_HOL_OThe(_u277, _u278)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u279, hAPP(hAPP(c_COMBC(_u279, _u279, tc_HOL_Obool), c_fequal), _u280)) = _u280) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u281, hAPP(c_fequal, _u282)) = _u282) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u283, tc_HOL_Obool)), _u284), _u285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u283, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u283, _u284)), c_Predicate_OPowp(_u283, _u285))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Least__equality ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Least__equality-1, axiom, ( ~class_Orderings_Oorder(_u287) | ~hBOOL(hAPP(_u288, _u289)) | ( c_Orderings_Oord__class_OLeast(_u287, _u288) = _u289) | hBOOL(hAPP(_u288, skolem8(_u289, _u288, _u287))) )).
% 12.21/12.36 cnf(fact_Least__equality-2, axiom, ( ~class_Orderings_Oorder(_u287) | ~hBOOL(hAPP(_u288, _u289)) | ( c_Orderings_Oord__class_OLeast(_u287, _u288) = _u289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u287), _u289), skolem8(_u289, _u288, _u287))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__mono-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u293, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u293), _u291)), hAPP(c_Set_OCollect(_u293), _u292))) | hBOOL(hAPP(_u291, skolem9(_u293, _u292, _u291))) )).
% 12.21/12.36 cnf(fact_Collect__mono-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u293, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u293), _u291)), hAPP(c_Set_OCollect(_u293), _u292))) | ~hBOOL(hAPP(_u292, skolem9(_u293, _u292, _u291))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u294), _u295), _u296) = hAPP(c_Set_OCollect(_u294), hAPP(hAPP(c_COMBS(_u294, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u294), c_fdisj), hAPP(hAPP(c_COMBC(_u294, _u294, tc_HOL_Obool), c_fequal), _u295))), hAPP(hAPP(c_COMBC(_u294, tc_fun(_u294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u294)), _u296)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u297), _u298), _u299) = hAPP(c_Set_OCollect(_u297), hAPP(hAPP(c_COMBS(_u297, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u297), c_fdisj), hAPP(hAPP(c_COMBC(_u297, _u297, tc_HOL_Obool), c_fequal), _u298))), hAPP(hAPP(c_COMBC(_u297, tc_fun(_u297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u297)), _u299)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inv__imagep__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inv__imagep__def-1, axiom, ( hBOOL(hAPP(hAPP(_u310, hAPP(_u312, _u314)), hAPP(_u312, _u316))) | ~c_Predicate_Oinv__imagep(_u306, _u308, _u310, _u312, _u314, _u316) )).
% 12.21/12.36 cnf(fact_inv__imagep__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u311, hAPP(_u313, _u315)), hAPP(_u313, _u317))) | c_Predicate_Oinv__imagep(_u307, _u309, _u311, _u313, _u315, _u317) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u318), _u319), _u320) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u318, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u318), hAPP(hAPP(c_COMBC(_u318, _u318, tc_HOL_Obool), c_fequal), _u319))), _u320)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__constant__conv-1, axiom, ( ( _u325 != c_Orderings_Obot__class_Obot(tc_fun(_u327, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u327, _u329, hAPP(c_COMBK(_u329, _u327), _u331)), _u325) = c_Orderings_Obot__class_Obot(tc_fun(_u329, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_image__constant__conv-2, axiom, ( ( _u326 = c_Orderings_Obot__class_Obot(tc_fun(_u328, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u328, _u330, hAPP(c_COMBK(_u330, _u328), _u332)), _u326) = hAPP(hAPP(c_Set_Oinsert(_u330), _u332), c_Orderings_Obot__class_Obot(tc_fun(_u330, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_strict__mono__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_strict__mono__mono-1, axiom, ( ~class_Orderings_Oorder(_u333) | ~class_Orderings_Oorder(_u334) | ~c_Orderings_Oorder__class_Ostrict__mono(_u334, _u333, _u335) | c_Orderings_Oorder__class_Omono(_u334, _u333, _u335) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_equalityCE-1, axiom, ( ( _u336 != _u337) | hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u336)) | ~hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u337)) )).
% 12.21/12.36 cnf(fact_equalityCE-2, axiom, ( ( _u336 != _u337) | hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u337)) | ~hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u336)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u343, tc_HOL_Obool)), _u342), _u340), _u341)) | ~hBOOL(hAPP(_u340, _u341)) )).
% 12.21/12.36 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u343, tc_HOL_Obool)), _u342), _u340), _u341)) | ~hBOOL(hAPP(_u342, _u341)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u345, _u347)) | hBOOL(hAPP(_u346, _u347)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u344, tc_HOL_Obool)), _u345), _u346), _u347)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u348), _u349), c_Orderings_Obot__class_Obot(tc_fun(_u348, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u350), _u351), hAPP(hAPP(c_Set_Oinsert(_u350), _u353), _u352))) | ~hBOOL(hAPP(hAPP(c_member(_u350), _u351), _u352)) )).
% 12.21/12.36 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u350), _u351), hAPP(hAPP(c_Set_Oinsert(_u350), _u353), _u352))) | ( _u351 != _u353) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insertE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u354), _u355), hAPP(hAPP(c_Set_Oinsert(_u354), _u356), _u357))) | ( _u355 = _u356) | hBOOL(hAPP(hAPP(c_member(_u354), _u355), _u357)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u358, tc_HOL_Obool)), _u359), _u360)) | ~hBOOL(hAPP(hAPP(c_member(_u358), _u361), _u359)) | hBOOL(hAPP(hAPP(c_member(_u358), _u361), _u360)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__eqI-1, axiom, ( ( _u362 != hAPP(_u363, _u364)) | ~hBOOL(hAPP(hAPP(c_member(_u365), _u364), _u366)) | hBOOL(hAPP(hAPP(c_member(_u367), _u362), hAPP(c_Set_Oimage(_u365, _u367, _u363), _u366))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u368), _u369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u368, tc_HOL_Obool)), _u371), _u370))) | ~hBOOL(hAPP(hAPP(c_member(_u368), _u369), _u370)) )).
% 12.21/12.36 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u368), _u369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u368, tc_HOL_Obool)), _u371), _u370))) | ~hBOOL(hAPP(hAPP(c_member(_u368), _u369), _u371)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_UnE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u372), _u373), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u372, tc_HOL_Obool)), _u374), _u375))) | hBOOL(hAPP(hAPP(c_member(_u372), _u373), _u374)) | hBOOL(hAPP(hAPP(c_member(_u372), _u373), _u375)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u376, _u377)) | hBOOL(hAPP(hAPP(c_member(_u378), _u377), hAPP(c_Set_OCollect(_u378), _u376))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u379, _u380)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u381, tc_HOL_Obool)), _u382), _u379), _u380)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u383, _u384)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u385, tc_HOL_Obool)), _u383), _u386), _u384)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u391, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u391, tc_fun(_u391, tc_HOL_Obool), tc_HOL_Obool), c_member(_u391)), _u393)), hAPP(hAPP(c_COMBC(_u391, tc_fun(_u391, tc_HOL_Obool), tc_HOL_Obool), c_member(_u391)), _u395)), _u397)) | hBOOL(hAPP(hAPP(c_member(_u391), _u397), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u391, tc_HOL_Obool)), _u393), _u395))) )).
% 12.21/12.36 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u392), _u398), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u392, tc_HOL_Obool)), _u394), _u396))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u392, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u392, tc_fun(_u392, tc_HOL_Obool), tc_HOL_Obool), c_member(_u392)), _u394)), hAPP(hAPP(c_COMBC(_u392, tc_fun(_u392, tc_HOL_Obool), tc_HOL_Obool), c_member(_u392)), _u396)), _u398)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_eq__mem-1, axiom, ( ( _u404 = _u406) | ~hBOOL(hAPP(hAPP(c_member(_u402), _u404), hAPP(c_fequal, _u406))) )).
% 12.21/12.36 cnf(fact_eq__mem-2, axiom, ( ( _u405 != _u407) | hBOOL(hAPP(hAPP(c_member(_u403), _u405), hAPP(c_fequal, _u407))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u408), _u409), _u410)) | ( _u411 != hAPP(_u412, _u409)) | hBOOL(hAPP(hAPP(c_member(_u413), _u411), hAPP(c_Set_Oimage(_u408, _u413, _u412), _u410))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_eq__mem__trans-1, axiom, ( ( _u414 != _u415) | ~hBOOL(hAPP(hAPP(c_member(_u416), _u415), _u417)) | hBOOL(hAPP(hAPP(c_member(_u416), _u414), _u417)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u418 != _u419) | ~hBOOL(hAPP(hAPP(c_member(_u420), _u418), _u421)) | hBOOL(hAPP(hAPP(c_member(_u420), _u419), _u421)) )).
% 12.21/12.36 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u418 != _u419) | ~hBOOL(hAPP(hAPP(c_member(_u420), _u419), _u421)) | hBOOL(hAPP(hAPP(c_member(_u420), _u418), _u421)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u422 != _u423) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u422)) | hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u423)) )).
% 12.21/12.36 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u422 != _u423) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u423)) | hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u422)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_imageI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u426), _u427), _u428)) | hBOOL(hAPP(hAPP(c_member(_u429), hAPP(_u430, _u427)), hAPP(c_Set_Oimage(_u426, _u429, _u430), _u428))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u431), _u432), _u433)) | hBOOL(hAPP(hAPP(c_member(_u431), _u432), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u431, tc_HOL_Obool)), _u434), _u433))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u435), _u436), _u437)) | hBOOL(hAPP(hAPP(c_member(_u435), _u436), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u435, tc_HOL_Obool)), _u437), _u438))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u449), skolem10(_u455, _u453, _u451, _u449)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u449, tc_HOL_Obool)), _u451), _u453))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u440), _u451)) | hBOOL(hAPP(_u455, _u440)) )).
% 12.21/12.36 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u449), skolem10(_u455, _u453, _u451, _u449)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u449, tc_HOL_Obool)), _u451), _u453))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u441), _u453)) | hBOOL(hAPP(_u455, _u441)) )).
% 12.21/12.36 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u455, skolem10(_u455, _u453, _u451, _u449))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u440), _u451)) | hBOOL(hAPP(_u455, _u440)) )).
% 12.21/12.36 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u455, skolem10(_u455, _u453, _u451, _u449))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u441), _u453)) | hBOOL(hAPP(_u455, _u441)) )).
% 12.21/12.36 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem11(_u456, _u454, _u452, _u450)), _u452)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem12(_u456, _u454, _u452, _u450)), _u454)) )).
% 12.21/12.36 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem11(_u456, _u454, _u452, _u450)), _u452)) | ~hBOOL(hAPP(_u456, skolem12(_u456, _u454, _u452, _u450))) )).
% 12.21/12.36 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | ~hBOOL(hAPP(_u456, skolem11(_u456, _u454, _u452, _u450))) | hBOOL(hAPP(hAPP(c_member(_u450), skolem12(_u456, _u454, _u452, _u450)), _u454)) )).
% 12.21/12.36 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | ~hBOOL(hAPP(_u456, skolem11(_u456, _u454, _u452, _u450))) | ~hBOOL(hAPP(_u456, skolem12(_u456, _u454, _u452, _u450))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(hAPP(c_member(_u467), skolem13(_u473, _u471, _u469, _u467)), _u469)) | hBOOL(hAPP(hAPP(c_member(_u467), skolem14(_u473, _u471, _u469, _u467)), _u471)) )).
% 12.21/12.36 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(hAPP(c_member(_u467), skolem13(_u473, _u471, _u469, _u467)), _u469)) | hBOOL(hAPP(_u473, skolem14(_u473, _u471, _u469, _u467))) )).
% 12.21/12.36 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(_u473, skolem13(_u473, _u471, _u469, _u467))) | hBOOL(hAPP(hAPP(c_member(_u467), skolem14(_u473, _u471, _u469, _u467)), _u471)) )).
% 12.21/12.36 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(_u473, skolem13(_u473, _u471, _u469, _u467))) | hBOOL(hAPP(_u473, skolem14(_u473, _u471, _u469, _u467))) )).
% 12.21/12.36 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u460), _u470)) | ~hBOOL(hAPP(_u474, _u460)) | hBOOL(hAPP(hAPP(c_member(_u468), skolem15(_u474, _u472, _u470, _u468)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u468, tc_HOL_Obool)), _u470), _u472))) )).
% 12.21/12.36 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u460), _u470)) | ~hBOOL(hAPP(_u474, _u460)) | hBOOL(hAPP(_u474, skolem15(_u474, _u472, _u470, _u468))) )).
% 12.21/12.36 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u461), _u472)) | ~hBOOL(hAPP(_u474, _u461)) | hBOOL(hAPP(hAPP(c_member(_u468), skolem15(_u474, _u472, _u470, _u468)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u468, tc_HOL_Obool)), _u470), _u472))) )).
% 12.21/12.36 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u461), _u472)) | ~hBOOL(hAPP(_u474, _u461)) | hBOOL(hAPP(_u474, skolem15(_u474, _u472, _u470, _u468))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), _u476), _u477)), _u478) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), _u476), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), _u477), _u478))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u483), _u485), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u483, tc_HOL_Obool)), _u487), _u489))) | hBOOL(hAPP(hAPP(c_member(_u483), _u485), _u487)) | hBOOL(hAPP(hAPP(c_member(_u483), _u485), _u489)) )).
% 12.21/12.36 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u484), _u486), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u484, tc_HOL_Obool)), _u488), _u490))) | ~hBOOL(hAPP(hAPP(c_member(_u484), _u486), _u488)) )).
% 12.21/12.36 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u484), _u486), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u484, tc_HOL_Obool)), _u488), _u490))) | ~hBOOL(hAPP(hAPP(c_member(_u484), _u486), _u490)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u491, _u492, _u493), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u491, tc_HOL_Obool)), _u494), _u495)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u492, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u491, _u492, _u493), _u494)), hAPP(c_Set_Oimage(_u491, _u492, _u493), _u495))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u497), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u498), _u499)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u497), _u499))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u507), _u509), hAPP(c_Set_Oimage(_u511, _u507, _u513), _u515))) | hBOOL(hAPP(hAPP(c_member(_u511), skolem16(_u515, _u513, _u511, _u509)), _u515)) )).
% 12.21/12.36 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u507), _u509), hAPP(c_Set_Oimage(_u511, _u507, _u513), _u515))) | ( _u509 = hAPP(_u513, skolem16(_u515, _u513, _u511, _u509))) )).
% 12.21/12.36 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u512), _u501), _u516)) | ( _u510 != hAPP(_u514, _u501)) | hBOOL(hAPP(hAPP(c_member(_u508), _u510), hAPP(c_Set_Oimage(_u512, _u508, _u514), _u516))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u517, tc_HOL_Obool)), _u518), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u517, tc_HOL_Obool)), _u518), _u519)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u517, tc_HOL_Obool)), _u518), _u519)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u520, tc_HOL_Obool)), _u521), _u522) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u520, tc_HOL_Obool)), _u522), _u521)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u530, _u528)) | ~hBOOL(hAPP(hAPP(c_member(_u526), _u528), _u530)) )).
% 12.21/12.36 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u531, _u529)) | hBOOL(hAPP(hAPP(c_member(_u527), _u529), _u531)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u532, tc_HOL_Obool)), _u533), _u533) = _u533) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u536)) | ( hAPP(hAPP(c_Set_Oinsert(_u537), hAPP(_u538, _u535)), hAPP(c_Set_Oimage(_u534, _u537, _u538), _u536)) = hAPP(c_Set_Oimage(_u534, _u537, _u538), _u536)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__image ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u539, _u540, _u541), hAPP(c_Set_Oimage(_u542, _u539, _u543), _u544)) = hAPP(c_Set_Oimage(_u542, _u540, hAPP(hAPP(c_COMBB(_u539, _u540, _u542), _u541), _u543)), _u544)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mono__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mono__Un-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u545, tc_HOL_Obool), tc_fun(_u546, tc_HOL_Obool), _u547) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u546, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u546, tc_HOL_Obool)), hAPP(_u547, _u548)), hAPP(_u547, _u549))), hAPP(_u547, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u545, tc_HOL_Obool)), _u548), _u549)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_pred__equals__eq-1, axiom, ( ( _u555 = _u557) | ( hAPP(hAPP(c_COMBC(_u553, tc_fun(_u553, tc_HOL_Obool), tc_HOL_Obool), c_member(_u553)), _u555) != hAPP(hAPP(c_COMBC(_u553, tc_fun(_u553, tc_HOL_Obool), tc_HOL_Obool), c_member(_u553)), _u557)) )).
% 12.21/12.36 cnf(fact_pred__equals__eq-2, axiom, ( ( _u556 != _u558) | ( hAPP(hAPP(c_COMBC(_u554, tc_fun(_u554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u554)), _u556) = hAPP(hAPP(c_COMBC(_u554, tc_fun(_u554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u554)), _u558)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u559, tc_HOL_Obool)), _u560), _u561) = hAPP(c_Set_OCollect(_u559), hAPP(hAPP(c_COMBS(_u559, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u559), c_fdisj), hAPP(hAPP(c_COMBC(_u559, tc_fun(_u559, tc_HOL_Obool), tc_HOL_Obool), c_member(_u559)), _u560))), hAPP(hAPP(c_COMBC(_u559, tc_fun(_u559, tc_HOL_Obool), tc_HOL_Obool), c_member(_u559)), _u561)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Least__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Least__mono-1, axiom, ( ~class_Orderings_Oorder(_u564) | ~class_Orderings_Oorder(_u565) | ~c_Orderings_Oorder__class_Omono(_u565, _u564, _u566) | ( c_Orderings_Oord__class_OLeast(_u564, hAPP(hAPP(c_COMBC(_u564, tc_fun(_u564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u564)), hAPP(c_Set_Oimage(_u565, _u564, _u566), _u567))) = hAPP(_u566, c_Orderings_Oord__class_OLeast(_u565, hAPP(hAPP(c_COMBC(_u565, tc_fun(_u565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u565)), _u567)))) | ~hBOOL(hAPP(hAPP(c_member(_u565), _u563), _u567)) | hBOOL(hAPP(hAPP(c_member(_u565), skolem17(_u567, _u566, _u565, _u564, _u563)), _u567)) )).
% 12.21/12.36 cnf(fact_Least__mono-2, axiom, ( ~class_Orderings_Oorder(_u564) | ~class_Orderings_Oorder(_u565) | ~c_Orderings_Oorder__class_Omono(_u565, _u564, _u566) | ( c_Orderings_Oord__class_OLeast(_u564, hAPP(hAPP(c_COMBC(_u564, tc_fun(_u564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u564)), hAPP(c_Set_Oimage(_u565, _u564, _u566), _u567))) = hAPP(_u566, c_Orderings_Oord__class_OLeast(_u565, hAPP(hAPP(c_COMBC(_u565, tc_fun(_u565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u565)), _u567)))) | ~hBOOL(hAPP(hAPP(c_member(_u565), _u563), _u567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u565), _u563), skolem17(_u567, _u566, _u565, _u564, _u563))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u572, _u574, _u576), _u578) != c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))) | ( _u578 = c_Orderings_Obot__class_Obot(tc_fun(_u572, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_image__is__empty-2, axiom, ( ( _u579 != c_Orderings_Obot__class_Obot(tc_fun(_u573, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u573, _u575, _u577), _u579) = c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u580, _u581, _u582), c_Orderings_Obot__class_Obot(tc_fun(_u580, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u581, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_empty__is__image-1, axiom, ( ( _u593 = c_Orderings_Obot__class_Obot(tc_fun(_u589, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u587, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u589, _u587, _u591), _u593)) )).
% 12.21/12.36 cnf(fact_empty__is__image-2, axiom, ( ( _u594 != c_Orderings_Obot__class_Obot(tc_fun(_u590, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u588, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u590, _u588, _u592), _u594)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u595, _u596, _u597), hAPP(hAPP(c_Set_Oinsert(_u595), _u598), _u599)) = hAPP(hAPP(c_Set_Oinsert(_u596), hAPP(_u597, _u598)), hAPP(c_Set_Oimage(_u595, _u596, _u597), _u599))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u600, tc_HOL_Obool)), _u601), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u603, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u600, _u603, _u604), _u601)), hAPP(c_Set_Oimage(_u600, _u603, _u604), _u602))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), _u614), hAPP(c_Set_Oimage(_u616, _u612, _u618), _u620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u616, tc_HOL_Obool)), skolem18(_u620, _u618, _u616, _u614, _u612)), _u620)) )).
% 12.21/12.36 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), _u614), hAPP(c_Set_Oimage(_u616, _u612, _u618), _u620))) | ( _u614 = hAPP(c_Set_Oimage(_u616, _u612, _u618), skolem18(_u620, _u618, _u616, _u614, _u612))) )).
% 12.21/12.36 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u617, tc_HOL_Obool)), _u606), _u621)) | ( _u615 != hAPP(c_Set_Oimage(_u617, _u613, _u619), _u606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u613, tc_HOL_Obool)), _u615), hAPP(c_Set_Oimage(_u617, _u613, _u619), _u621))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u622), _u623), _u624)) | ( hAPP(c_Set_Oimage(_u622, _u625, hAPP(c_COMBK(_u625, _u622), _u626)), _u624) = hAPP(hAPP(c_Set_Oinsert(_u625), _u626), c_Orderings_Obot__class_Obot(tc_fun(_u625, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u632), _u634) != c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) | ( _u632 = c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u632), _u634) != c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) | ( _u634 = c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_Un__empty-3, axiom, ( ( _u633 != c_Orderings_Obot__class_Obot(tc_fun(_u631, tc_HOL_Obool))) | ( _u635 != c_Orderings_Obot__class_Obot(tc_fun(_u631, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u631, tc_HOL_Obool)), _u633), _u635) = c_Orderings_Obot__class_Obot(tc_fun(_u631, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u636, tc_HOL_Obool)), _u637), c_Orderings_Obot__class_Obot(tc_fun(_u636, tc_HOL_Obool))) = _u637) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u638, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u638, tc_HOL_Obool))), _u639) = _u639) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u640, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u640), _u641), _u642)), _u643) = hAPP(hAPP(c_Set_Oinsert(_u640), _u641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u640, tc_HOL_Obool)), _u642), _u643))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u644, tc_HOL_Obool)), _u645), hAPP(hAPP(c_Set_Oinsert(_u644), _u646), _u647)) = hAPP(hAPP(c_Set_Oinsert(_u644), _u646), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u644, tc_HOL_Obool)), _u645), _u647))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u649), _u650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u651), _u652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u648, tc_HOL_Obool)), _u649), _u651)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u648, tc_HOL_Obool)), _u650), _u652))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u653, tc_HOL_Obool)), _u654), _u655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u653, tc_HOL_Obool)), _u656), _u655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u653, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u653, tc_HOL_Obool)), _u654), _u656)), _u655)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u657, tc_HOL_Obool)), _u658), _u659)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u657, tc_HOL_Obool)), _u659), _u658) = _u659) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u660, tc_HOL_Obool)), _u661), _u662)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u660, tc_HOL_Obool)), _u661), _u662) = _u662) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u666, tc_HOL_Obool)), _u668), _u670)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u666, tc_HOL_Obool)), _u668), _u670) = _u670) )).
% 12.21/12.36 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u667, tc_HOL_Obool)), _u669), _u671) != _u671) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u667, tc_HOL_Obool)), _u669), _u671)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u672, tc_HOL_Obool)), _u673), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u672, tc_HOL_Obool)), _u674), _u673))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u675, tc_HOL_Obool)), _u676), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u675, tc_HOL_Obool)), _u676), _u677))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_in__inv__imagep ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_in__inv__imagep-1, axiom, ( hBOOL(hAPP(hAPP(_u688, hAPP(_u690, _u692)), hAPP(_u690, _u694))) | ~c_Predicate_Oinv__imagep(_u684, _u686, _u688, _u690, _u692, _u694) )).
% 12.21/12.36 cnf(fact_in__inv__imagep-2, axiom, ( ~hBOOL(hAPP(hAPP(_u689, hAPP(_u691, _u693)), hAPP(_u691, _u695))) | c_Predicate_Oinv__imagep(_u685, _u687, _u689, _u691, _u693, _u695) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_equals0D-1, axiom, ( ( _u696 != c_Orderings_Obot__class_Obot(tc_fun(_u697, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u697), _u698), _u696)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u699), _u700), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u705), _u701), _u707)) | ( _u707 != c_Orderings_Obot__class_Obot(tc_fun(_u705, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_ex__in__conv-2, axiom, ( ( _u708 = c_Orderings_Obot__class_Obot(tc_fun(_u706, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u706), skolem19(_u708, _u706)), _u708)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u713), skolem20(_u715, _u713)), _u715)) | ( _u715 = c_Orderings_Obot__class_Obot(tc_fun(_u713, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_all__not__in__conv-2, axiom, ( ( _u716 != c_Orderings_Obot__class_Obot(tc_fun(_u714, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u714), _u710), _u716)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u717), _u718), _u719)) | ( hAPP(hAPP(c_Set_Oinsert(_u717), _u718), _u719) = _u719) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u720), _u721), _u722)) | hBOOL(hAPP(hAPP(c_member(_u720), _u721), hAPP(hAPP(c_Set_Oinsert(_u720), _u723), _u722))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u726)) | hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u727)) | ( hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u726) != hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u727)) | ( _u726 = _u727) )).
% 12.21/12.36 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u726)) | hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u727)) | ( _u726 != _u727) | ( hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u726) = hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u727)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u732), _u734), hAPP(hAPP(c_Set_Oinsert(_u732), _u736), _u738))) | ( _u734 = _u736) | hBOOL(hAPP(hAPP(c_member(_u732), _u734), _u738)) )).
% 12.21/12.36 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u733), _u735), hAPP(hAPP(c_Set_Oinsert(_u733), _u737), _u739))) | ( _u735 != _u737) )).
% 12.21/12.36 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u733), _u735), hAPP(hAPP(c_Set_Oinsert(_u733), _u737), _u739))) | ~hBOOL(hAPP(hAPP(c_member(_u733), _u735), _u739)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u740), _u741), hAPP(hAPP(c_Set_Oinsert(_u740), _u741), _u742))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u743, tc_HOL_Obool)), _u744), _u745)) | ~hBOOL(hAPP(hAPP(c_member(_u743), _u746), _u744)) | hBOOL(hAPP(hAPP(c_member(_u743), _u746), _u745)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), _u750)) | hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u750)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u751, tc_HOL_Obool)), _u752), _u753)) | ~hBOOL(hAPP(hAPP(c_member(_u751), _u754), _u752)) | hBOOL(hAPP(hAPP(c_member(_u751), _u754), _u753)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u755), hAPP(hAPP(c_COMBS(_u755, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u755), c_fdisj), _u756)), _u757)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u755, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u755), _u756)), hAPP(c_Set_OCollect(_u755), _u757))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_monoD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_monoD-1, axiom, ( ~class_Orderings_Oorder(_u758) | ~class_Orderings_Oorder(_u759) | ~c_Orderings_Oorder__class_Omono(_u759, _u758, _u760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u759), _u761), _u762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(_u760, _u761)), hAPP(_u760, _u762))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u765, tc_HOL_Obool)), _u767)) | hBOOL(hAPP(hAPP(c_member(_u765), _u767), c_Orderings_Obot__class_Obot(tc_fun(_u765, tc_HOL_Obool)))) )).
% 12.21/12.36 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u766), _u768), c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool)), _u768)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u771, _u770)) | ~hBOOL(hAPP(hAPP(c_member(_u769), _u770), hAPP(c_Set_OCollect(_u769), _u771))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u774, _u773)) | ~hBOOL(hAPP(hAPP(c_member(_u772), _u773), hAPP(c_Set_OCollect(_u772), _u774))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u782, _u780)) | ~hBOOL(hAPP(hAPP(c_member(_u778), _u780), hAPP(c_Set_OCollect(_u778), _u782))) )).
% 12.21/12.36 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u783, _u781)) | hBOOL(hAPP(hAPP(c_member(_u779), _u781), hAPP(c_Set_OCollect(_u779), _u783))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u784), hAPP(hAPP(c_COMBC(_u784, tc_fun(_u784, tc_HOL_Obool), tc_HOL_Obool), c_member(_u784)), _u785)) = _u785) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u789, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u789, tc_fun(_u789, tc_HOL_Obool), tc_HOL_Obool), c_member(_u789)), _u791)), hAPP(hAPP(c_COMBC(_u789, tc_fun(_u789, tc_HOL_Obool), tc_HOL_Obool), c_member(_u789)), _u793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u789, tc_HOL_Obool)), _u791), _u793)) )).
% 12.21/12.36 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u790, tc_HOL_Obool)), _u792), _u794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u790, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u790, tc_fun(_u790, tc_HOL_Obool), tc_HOL_Obool), c_member(_u790)), _u792)), hAPP(hAPP(c_COMBC(_u790, tc_fun(_u790, tc_HOL_Obool), tc_HOL_Obool), c_member(_u790)), _u794))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u795), _u796), _u797) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u795, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u795), _u796), c_Orderings_Obot__class_Obot(tc_fun(_u795, tc_HOL_Obool)))), _u797)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_singletonE-1, axiom, ( ( _u799 = _u800) | ~hBOOL(hAPP(hAPP(c_member(_u798), _u799), hAPP(hAPP(c_Set_Oinsert(_u798), _u800), c_Orderings_Obot__class_Obot(tc_fun(_u798, tc_HOL_Obool))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_singleton__iff-1, axiom, ( ( _u806 = _u808) | ~hBOOL(hAPP(hAPP(c_member(_u804), _u806), hAPP(hAPP(c_Set_Oinsert(_u804), _u808), c_Orderings_Obot__class_Obot(tc_fun(_u804, tc_HOL_Obool))))) )).
% 12.21/12.36 cnf(fact_singleton__iff-2, axiom, ( ( _u807 != _u809) | hBOOL(hAPP(hAPP(c_member(_u805), _u807), hAPP(hAPP(c_Set_Oinsert(_u805), _u809), c_Orderings_Obot__class_Obot(tc_fun(_u805, tc_HOL_Obool))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u810), _u811), _u812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), hAPP(hAPP(c_Set_Oinsert(_u810), _u811), _u813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), _u813)) )).
% 12.21/12.36 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u810), _u811), _u812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), _u813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), hAPP(hAPP(c_Set_Oinsert(_u810), _u811), _u813))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u818, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u818), _u820), _u822)), _u824)) | hBOOL(hAPP(hAPP(c_member(_u818), _u820), _u824)) )).
% 12.21/12.36 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u818, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u818), _u820), _u822)), _u824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u818, tc_HOL_Obool)), _u822), _u824)) )).
% 12.21/12.36 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u819), _u821), _u825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u819, tc_HOL_Obool)), _u823), _u825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u819, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u819), _u821), _u823)), _u825)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mono__sup ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u826) | ~class_Lattices_Osemilattice__sup(_u827) | ~c_Orderings_Oorder__class_Omono(_u827, _u826, _u828) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u826), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u826), hAPP(_u828, _u829)), hAPP(_u828, _u830))), hAPP(_u828, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u827), _u829), _u830)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u831) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u832, _u831)), _u833), _u834), _u835) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u831), hAPP(_u833, _u835)), hAPP(_u834, _u835))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u836) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u837, _u836)), _u838), _u839), _u840) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u836), hAPP(_u838, _u840)), hAPP(_u839, _u840))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u841), _u842), _u843) != c_Orderings_Obot__class_Obot(_u841)) | ( _u842 = c_Orderings_Obot__class_Obot(_u841)) )).
% 12.21/12.36 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u841), _u842), _u843) != c_Orderings_Obot__class_Obot(_u841)) | ( _u843 = c_Orderings_Obot__class_Obot(_u841)) )).
% 12.21/12.36 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u841) | ( _u842 != c_Orderings_Obot__class_Obot(_u841)) | ( _u843 != c_Orderings_Obot__class_Obot(_u841)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u841), _u842), _u843) = c_Orderings_Obot__class_Obot(_u841)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u844) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u844), _u845), c_Orderings_Obot__class_Obot(_u844)) = _u845) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u846) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u846), c_Orderings_Obot__class_Obot(_u846)), _u847) = _u847) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u848), _u849), _u850)), _u851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), _u849), _u851)) )).
% 12.21/12.36 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u848), _u849), _u850)), _u851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), _u850), _u851)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u852), _u853), _u854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u852), _u855), _u856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u852), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u852), _u853), _u855)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u852), _u854), _u856))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u857), _u858), _u859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u857), _u860), _u859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u857), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u857), _u858), _u860)), _u859)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u861), _u862), _u863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u861), _u864), _u863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u861), _u862), _u864)), _u863)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u865), _u866), _u867)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u865), _u867), _u866) = _u867) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u868), _u869), _u870)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u868), _u869), _u870) = _u870) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u871) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), _u872), _u873)), _u874) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), _u872), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), _u873), _u874))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u875) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), _u876), _u877)), _u878) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), _u876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), _u877), _u878))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u879) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), _u880), _u881)), _u882) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), _u880), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), _u881), _u882))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u883) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u884), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u885), _u886)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u885), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u884), _u886))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u887) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u888), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u889), _u890)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u889), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u888), _u890))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u891) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u893), _u894)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u893), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u892), _u894))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u895) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u895), _u896), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u895), _u896), _u897)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u895), _u896), _u897)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u898) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u898), _u899), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u898), _u899), _u900)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u898), _u899), _u900)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u901) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u901), _u902), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u901), _u902), _u903)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u901), _u902), _u903)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u904) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u904), _u905), _u906) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u904), _u906), _u905)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u907) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u907), _u908), _u909) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u907), _u909), _u908)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u910) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u910), _u911), _u912) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u910), _u912), _u911)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u913) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u913), _u914), _u914) = _u914) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u915) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u915), _u916), _u916) = _u916) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u917), _u918), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u917), _u918), _u919))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u920) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u920), _u921), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u920), _u921), _u922))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u923) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u923), _u924), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u923), _u925), _u924))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u926), _u927), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u926), _u928), _u927))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u929) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u929), _u930), _u931)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u929), _u930), _u931) = _u931) )).
% 12.21/12.36 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u929) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u929), _u930), _u931) != _u931) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u929), _u930), _u931)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u932), _u933), _u934)), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u933), _u935)) )).
% 12.21/12.36 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u932), _u933), _u934)), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u934), _u935)) )).
% 12.21/12.36 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u933), _u935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u934), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u932), _u933), _u934)), _u935)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u936) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u936), _u937), _u938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u936), _u937), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u936), _u938), _u939))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u940), _u941), _u942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u940), _u941), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u940), _u943), _u942))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_coinduct3__mono__lemma ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_coinduct3__mono__lemma-1, axiom, ( ~class_Orderings_Oorder(_u944) | ~c_Orderings_Oorder__class_Omono(_u944, tc_fun(_u945, tc_HOL_Obool), _u946) | c_Orderings_Oorder__class_Omono(_u944, tc_fun(_u945, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u944, tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u945, tc_HOL_Obool), tc_fun(tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), _u944), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u945, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u944, tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u945, tc_HOL_Obool), tc_fun(tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), _u944), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u945, tc_HOL_Obool))), _u946)), _u947))), _u948)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u949, _u949, c_COMBI(_u949)), _u950) = _u950) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u951, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u952, _u951, _u953), _u954)), _u955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u951, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u952, tc_HOL_Obool), tc_fun(_u951, tc_HOL_Obool), c_Set_Oimage(_u952, _u951, _u953)), hAPP(c_Set_OPow(_u952), _u954))), hAPP(c_Set_OPow(_u951), _u955))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), _u962), hAPP(hAPP(c_Set_Oinsert(_u960), _u964), _u966))) | ~hBOOL(hAPP(hAPP(c_member(_u960), _u964), _u962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u960, tc_HOL_Obool)), _u962), hAPP(hAPP(c_Set_Oinsert(_u960), _u964), c_Orderings_Obot__class_Obot(tc_fun(_u960, tc_HOL_Obool))))), _u966)) )).
% 12.21/12.36 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), _u962), hAPP(hAPP(c_Set_Oinsert(_u960), _u964), _u966))) | hBOOL(hAPP(hAPP(c_member(_u960), _u964), _u962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), _u962), _u966)) )).
% 12.21/12.36 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), _u967))) | hBOOL(hAPP(hAPP(c_member(_u961), _u965), _u963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), _u967)) )).
% 12.21/12.36 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), _u967))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), c_Orderings_Obot__class_Obot(tc_fun(_u961, tc_HOL_Obool))))), _u967)) | ~hBOOL(hAPP(hAPP(c_member(_u961), _u965), _u963)) )).
% 12.21/12.36 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), _u967))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), c_Orderings_Obot__class_Obot(tc_fun(_u961, tc_HOL_Obool))))), _u967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), _u967)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u968, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u968, tc_HOL_Obool)), _u969), hAPP(hAPP(c_Set_Oinsert(_u968), _u970), c_Orderings_Obot__class_Obot(tc_fun(_u968, tc_HOL_Obool))))), _u971)) | ~hBOOL(hAPP(hAPP(c_member(_u968), _u970), _u969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u968, tc_HOL_Obool)), _u969), hAPP(hAPP(c_Set_Oinsert(_u968), _u970), _u971))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_imageE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u973), _u974), hAPP(c_Set_Oimage(_u975, _u973, _u976), _u977))) | ( _u974 = hAPP(_u976, skolem21(_u977, _u976, _u975, _u974))) )).
% 12.21/12.36 cnf(fact_imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u973), _u974), hAPP(c_Set_Oimage(_u975, _u973, _u976), _u977))) | hBOOL(hAPP(hAPP(c_member(_u975), skolem21(_u977, _u976, _u975, _u974)), _u977)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__subsetI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u981, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u979, _u981, _u982), _u980)), _u983)) | hBOOL(hAPP(hAPP(c_member(_u979), skolem22(_u983, _u982, _u981, _u980, _u979)), _u980)) )).
% 12.21/12.36 cnf(fact_image__subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u981, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u979, _u981, _u982), _u980)), _u983)) | ~hBOOL(hAPP(hAPP(c_member(_u981), hAPP(_u982, skolem22(_u983, _u982, _u981, _u980, _u979))), _u983)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u987, hAPP(hAPP(c_COMBC(_u987, tc_fun(_u987, tc_HOL_Obool), tc_HOL_Obool), c_member(_u987)), _u989)), _u991)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u987, tc_HOL_Obool)), _u991), hAPP(c_Set_OPow(_u987), _u989))) )).
% 12.21/12.36 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u988, tc_HOL_Obool)), _u992), hAPP(c_Set_OPow(_u988), _u990))) | hBOOL(hAPP(c_Predicate_OPowp(_u988, hAPP(hAPP(c_COMBC(_u988, tc_fun(_u988, tc_HOL_Obool), tc_HOL_Obool), c_member(_u988)), _u990)), _u992)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__coinduct__set ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__coinduct__set-1, axiom, ( ( _u993 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u994, tc_HOL_Obool), _u995)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u994, tc_HOL_Obool), tc_fun(_u994, tc_HOL_Obool), _u995) | ~hBOOL(hAPP(hAPP(c_member(_u994), _u996), _u997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), _u997), hAPP(_u995, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u994, tc_HOL_Obool)), _u997), _u993)))) | hBOOL(hAPP(hAPP(c_member(_u994), _u996), _u993)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_coinduct__set ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_coinduct__set-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u998, tc_HOL_Obool), tc_fun(_u998, tc_HOL_Obool), _u999) | ~hBOOL(hAPP(hAPP(c_member(_u998), _u1000), _u1001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u998, tc_HOL_Obool)), _u1001), hAPP(_u999, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u998, tc_HOL_Obool)), _u1001), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u998, tc_HOL_Obool), _u999))))) | hBOOL(hAPP(hAPP(c_member(_u998), _u1000), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u998, tc_HOL_Obool), _u999))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u1002, _u1003, hAPP(hAPP(c_COMBS(_u1002, _u1003, _u1003), hAPP(hAPP(c_COMBS(_u1002, _u1003, tc_fun(_u1003, _u1003)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u1003, tc_fun(_u1003, _u1003)), _u1002), c_If(_u1003)), _u1004)), _u1005)), _u1006)), _u1007) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1003, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1002, _u1003, _u1005), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1002, tc_HOL_Obool)), _u1007), hAPP(c_Set_OCollect(_u1002), _u1004)))), hAPP(c_Set_Oimage(_u1002, _u1003, _u1006), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1002, tc_HOL_Obool)), _u1007), hAPP(c_Set_OCollect(_u1002), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1002), c_fNot), _u1004)))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool)), _u1009), _u1010), _u1011)) | hBOOL(hAPP(_u1009, _u1011)) )).
% 12.21/12.36 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool)), _u1009), _u1010), _u1011)) | hBOOL(hAPP(_u1010, _u1011)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u1012, _u1013)) | ~hBOOL(hAPP(_u1014, _u1013)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1015, tc_HOL_Obool)), _u1012), _u1014), _u1013)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_IntE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1016, tc_HOL_Obool)), _u1018), _u1019))) | hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), _u1018)) )).
% 12.21/12.36 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1016, tc_HOL_Obool)), _u1018), _u1019))) | hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), _u1019)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_IntI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1021), _u1022)) | ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1021), _u1023)) | hBOOL(hAPP(hAPP(c_member(_u1020), _u1021), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1020, tc_HOL_Obool)), _u1022), _u1023))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1024, tc_HOL_Obool)), _u1026), _u1027))) | hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), _u1026)) )).
% 12.21/12.36 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1024, tc_HOL_Obool)), _u1026), _u1027))) | ~hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), _u1027)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1028), _u1029), _u1030)) | hBOOL(hAPP(hAPP(c_member(_u1028), _u1029), _u1031)) | hBOOL(hAPP(hAPP(c_member(_u1028), _u1029), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1028, tc_HOL_Obool)), _u1030), _u1031))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_PowI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1032, tc_HOL_Obool)), _u1033), _u1034)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1032, tc_HOL_Obool)), _u1033), hAPP(c_Set_OPow(_u1032), _u1034))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u1035) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1036, _u1035)), _u1037), _u1038), _u1039) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1035), hAPP(_u1037, _u1039)), hAPP(_u1038, _u1039))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u1040) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1041, _u1040)), _u1042), _u1043), _u1044) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1040), hAPP(_u1042, _u1044)), hAPP(_u1043, _u1044))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1045) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), _u1046), _u1047)), _u1048) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), _u1046), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), _u1047), _u1048))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1049) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), _u1050), _u1051)), _u1052) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), _u1050), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), _u1051), _u1052))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1053) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), _u1054), _u1055)), _u1056) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), _u1054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), _u1055), _u1056))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1057) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1059), _u1060)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1058), _u1060))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1061) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1062), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1063), _u1064)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1063), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1062), _u1064))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1065) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1066), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1067), _u1068)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1067), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1066), _u1068))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1069) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1069), _u1070), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1069), _u1070), _u1071)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1069), _u1070), _u1071)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1072) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1072), _u1073), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1072), _u1073), _u1074)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1072), _u1073), _u1074)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1075) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1075), _u1076), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1075), _u1076), _u1077)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1075), _u1076), _u1077)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1078) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1078), _u1079), _u1080) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1078), _u1080), _u1079)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1081) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1081), _u1082), _u1083) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1081), _u1083), _u1082)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1084) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1084), _u1085), _u1086) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1084), _u1086), _u1085)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u1087) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1088, _u1087)), _u1089), _u1090), _u1091) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1087), hAPP(_u1089, _u1091)), hAPP(_u1090, _u1091))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u1092) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1093, _u1092)), _u1094), _u1095), _u1096) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1092), hAPP(_u1094, _u1096)), hAPP(_u1095, _u1096))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1097) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1097), _u1098), _u1098) = _u1098) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1099) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1099), _u1100), _u1100) = _u1100) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u1103, _u1104)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1101, tc_HOL_Obool)), _u1102), _u1103), _u1104)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u1106, _u1108)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1105, tc_HOL_Obool)), _u1106), _u1107), _u1108)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1109, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1109, tc_HOL_Obool)), _u1110), _u1111)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1109, tc_HOL_Obool)), _u1112), _u1111)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1109, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1109, tc_HOL_Obool)), _u1110), _u1111)), _u1112)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1113, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1113, tc_HOL_Obool)), _u1114), _u1115)), _u1116) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1113, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1113, tc_HOL_Obool)), _u1114), _u1116)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1113, tc_HOL_Obool)), _u1115), _u1116))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), _u1118), _u1119)), _u1120) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), _u1118), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), _u1119), _u1120))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1121, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1121, tc_HOL_Obool)), _u1122), _u1123)), _u1124) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1121, tc_HOL_Obool)), _u1122), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1121, tc_HOL_Obool)), _u1123), _u1124))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1126), _u1127)), _u1127) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1126), _u1127)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1128, tc_HOL_Obool)), _u1129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), _u1130), _u1131)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1130)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1131))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1133), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1134), _u1135)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1134), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1133), _u1135))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1136, tc_HOL_Obool)), _u1137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1136, tc_HOL_Obool)), _u1137), _u1138)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1136, tc_HOL_Obool)), _u1137), _u1138)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1139, tc_HOL_Obool)), _u1140), _u1141) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1139, tc_HOL_Obool)), _u1141), _u1140)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1142, tc_HOL_Obool)), _u1143), _u1143) = _u1143) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u1144), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1144, tc_HOL_Obool)), _u1145), _u1146)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1144, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1144), _u1145)), hAPP(c_Set_OPow(_u1144), _u1146))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u1147), _u1148) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1147, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1149, tc_HOL_Obool)), _u1150), hAPP(c_Set_OPow(_u1149), _u1150))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u1152, tc_fun(_u1152, tc_HOL_Obool), _u1151), _u1153) != hAPP(c_Set_OPow(_u1152), _u1153)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1154, tc_HOL_Obool)), _u1155), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1154, tc_HOL_Obool)), _u1156), _u1155)) = c_Orderings_Obot__class_Obot(tc_fun(_u1154, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1157, tc_HOL_Obool)), _u1158), _u1159) != c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1157, tc_HOL_Obool)), _u1158), _u1159) = _u1158) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1160, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1160, tc_HOL_Obool)), _u1161), _u1162)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1160, tc_HOL_Obool)), _u1161), _u1162)) = _u1161) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1163, tc_HOL_Obool)), _u1164), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1163, tc_HOL_Obool)), _u1165), _u1166)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1163, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1163, tc_HOL_Obool)), _u1164), _u1165)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1163, tc_HOL_Obool)), _u1164), _u1166))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1167, tc_HOL_Obool)), _u1168), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1167, tc_HOL_Obool)), _u1169), _u1170)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1167, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1167, tc_HOL_Obool)), _u1168), _u1169)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1167, tc_HOL_Obool)), _u1168), _u1170))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_gfp__upperbound ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_gfp__upperbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1171), _u1172), hAPP(_u1173, _u1172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1171), _u1172), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1171, _u1173))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_gfp__unfold ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1174) | ~c_Orderings_Oorder__class_Omono(_u1174, _u1174, _u1175) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u1174, _u1175) = hAPP(_u1175, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1174, _u1175))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__gfp__unfold ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1176) | ( _u1177 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1176, _u1178)) | ~c_Orderings_Oorder__class_Omono(_u1176, _u1176, _u1178) | ( _u1177 = hAPP(_u1178, _u1177)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1179), _u1181), _u1182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), _u1181)) )).
% 12.21/12.36 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1179), _u1181), _u1182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), _u1182)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1183), _u1184), _u1185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1183), _u1186), _u1187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1183), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1183), _u1184), _u1186)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1183), _u1185), _u1187))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1188), _u1189), _u1190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1188), _u1189), _u1191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1188), _u1189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1188), _u1190), _u1191))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1192), _u1193), _u1194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1192), _u1193), _u1195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1192), _u1193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1192), _u1194), _u1195))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1196), _u1197), _u1198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1196), _u1198), _u1197) = _u1197) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1199), _u1200), _u1201)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1199), _u1200), _u1201) = _u1200) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1202), _u1203), _u1204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1202), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1202), _u1205), _u1203)), _u1204)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1206), _u1207), _u1208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1206), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1206), _u1207), _u1209)), _u1208)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1210), _u1212), _u1213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1212)) )).
% 12.21/12.36 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1210), _u1212), _u1213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1213)) )).
% 12.21/12.36 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1210), _u1212), _u1213))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1214), _u1215), _u1216)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1214), _u1215), _u1216) = _u1215) )).
% 12.21/12.36 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1214) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1214), _u1215), _u1216) != _u1215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1214), _u1215), _u1216)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1217) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1217), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1217), _u1218), _u1219)), _u1219)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1220) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1220), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1220), _u1221), _u1222)), _u1222)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1223) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1223), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1223), _u1224), _u1225)), _u1224)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1226) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1226), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1226), _u1227), _u1228)), _u1227)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1229) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1229), _u1230), c_Orderings_Obot__class_Obot(_u1229)) = c_Orderings_Obot__class_Obot(_u1229)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1231) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1231), c_Orderings_Obot__class_Obot(_u1231)), _u1232) = c_Orderings_Obot__class_Obot(_u1231)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1233) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1233), _u1234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1233), _u1234), _u1235)) = _u1234) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1236) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1236), _u1237), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1236), _u1237), _u1238)) = _u1237) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1239) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1239), _u1240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1239), _u1241), _u1242)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1239), _u1240), _u1241)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1239), _u1240), _u1242))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1243) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1243), _u1244), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1243), _u1245), _u1246)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1243), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1243), _u1244), _u1245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1243), _u1244), _u1246))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1247) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1247), _u1248), _u1249)), _u1250) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1247), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1247), _u1248), _u1250)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1247), _u1249), _u1250))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1251) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1251), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1251), _u1252), _u1253)), _u1254) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1251), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1251), _u1252), _u1254)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1251), _u1253), _u1254))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1255), _u1256), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1255, tc_HOL_Obool)), _u1257), _u1258))) | ~hBOOL(hAPP(hAPP(c_member(_u1255), _u1256), _u1258)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1259), _u1260), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1259, tc_HOL_Obool)), _u1261), _u1262))) | hBOOL(hAPP(hAPP(c_member(_u1259), _u1260), _u1261)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1267, tc_HOL_Obool)), _u1271), _u1273))) | hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), _u1271)) )).
% 12.21/12.36 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1267, tc_HOL_Obool)), _u1271), _u1273))) | ~hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), _u1273)) )).
% 12.21/12.36 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1268), _u1270), _u1272)) | hBOOL(hAPP(hAPP(c_member(_u1268), _u1270), _u1274)) | hBOOL(hAPP(hAPP(c_member(_u1268), _u1270), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1268, tc_HOL_Obool)), _u1272), _u1274))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1275), _u1276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1275, tc_HOL_Obool)), _u1277), _u1278))) | hBOOL(hAPP(hAPP(c_member(_u1275), _u1276), _u1278)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1279), _u1280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1279, tc_HOL_Obool)), _u1281), _u1282))) | hBOOL(hAPP(hAPP(c_member(_u1279), _u1280), _u1281)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1287, tc_HOL_Obool)), _u1291), _u1293))) | hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), _u1291)) )).
% 12.21/12.36 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1287, tc_HOL_Obool)), _u1291), _u1293))) | hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), _u1293)) )).
% 12.21/12.36 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1288), _u1290), _u1292)) | ~hBOOL(hAPP(hAPP(c_member(_u1288), _u1290), _u1294)) | hBOOL(hAPP(hAPP(c_member(_u1288), _u1290), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1288, tc_HOL_Obool)), _u1292), _u1294))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1295, tc_HOL_Obool)), _u1296), _u1296) = c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1297, tc_HOL_Obool)), _u1298), c_Orderings_Obot__class_Obot(tc_fun(_u1297, tc_HOL_Obool))) = _u1298) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1299, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1299, tc_HOL_Obool))), _u1300) = c_Orderings_Obot__class_Obot(tc_fun(_u1299, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1308, tc_HOL_Obool)), _u1310), _u1312) != c_Orderings_Obot__class_Obot(tc_fun(_u1308, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1308), _u1302), _u1310)) | ~hBOOL(hAPP(hAPP(c_member(_u1308), _u1301), _u1312)) | ( _u1302 != _u1301) )).
% 12.21/12.36 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1309, tc_HOL_Obool)), _u1311), _u1313) = c_Orderings_Obot__class_Obot(tc_fun(_u1309, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1309), skolem23(_u1313, _u1311, _u1309)), _u1311)) )).
% 12.21/12.36 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1309, tc_HOL_Obool)), _u1311), _u1313) = c_Orderings_Obot__class_Obot(tc_fun(_u1309, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1309), skolem24(_u1313, _u1311, _u1309)), _u1313)) )).
% 12.21/12.36 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1309, tc_HOL_Obool)), _u1311), _u1313) = c_Orderings_Obot__class_Obot(tc_fun(_u1309, tc_HOL_Obool))) | ( skolem23(_u1313, _u1311, _u1309) = skolem24(_u1313, _u1311, _u1309)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1314, tc_HOL_Obool)), _u1315), c_Orderings_Obot__class_Obot(tc_fun(_u1314, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1314, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1316, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))), _u1317) = c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1318, tc_HOL_Obool)), _u1319), _u1320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1318, tc_HOL_Obool)), _u1320), _u1321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1318, tc_HOL_Obool)), _u1320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1318, tc_HOL_Obool)), _u1321), _u1319)) = _u1319) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1322, tc_HOL_Obool)), _u1323), _u1324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1322, tc_HOL_Obool)), _u1325), _u1326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1322, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1322, tc_HOL_Obool)), _u1323), _u1326)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1322, tc_HOL_Obool)), _u1324), _u1325))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1327, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1327, tc_HOL_Obool)), _u1328), _u1329)), _u1328)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1330), _u1331), _u1332)), hAPP(hAPP(c_Set_Oinsert(_u1330), _u1331), _u1333)) = hAPP(hAPP(c_Set_Oinsert(_u1330), _u1331), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), _u1332), _u1333))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1334, tc_HOL_Obool)), _u1335), _u1336)), _u1337) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1334, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1334, tc_HOL_Obool)), _u1335), _u1337)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1334, tc_HOL_Obool)), _u1336), _u1337))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1338, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1338, tc_HOL_Obool)), _u1339), _u1340)), _u1340) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1338, tc_HOL_Obool)), _u1339), _u1340)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1341, tc_HOL_Obool)), _u1343), _u1342)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), _u1343)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1344, tc_HOL_Obool)), _u1345), _u1346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1344, tc_HOL_Obool)), _u1347), _u1348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1344, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1344, tc_HOL_Obool)), _u1345), _u1347)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1344, tc_HOL_Obool)), _u1346), _u1348))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1349, tc_HOL_Obool)), _u1350), _u1351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1349, tc_HOL_Obool)), _u1350), _u1352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1349, tc_HOL_Obool)), _u1350), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1351), _u1352))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1353, tc_HOL_Obool)), _u1354), _u1355)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1353, tc_HOL_Obool)), _u1355), _u1354) = _u1354) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1356, tc_HOL_Obool)), _u1357), _u1358)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1356, tc_HOL_Obool)), _u1357), _u1358) = _u1357) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1359, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1359, tc_HOL_Obool)), _u1360), _u1361)), _u1361)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1362, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1362, tc_HOL_Obool)), _u1363), _u1364)), _u1363)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), _u1366), _u1367)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), _u1367), _u1368))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), _u1368), _u1366)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), _u1366), _u1367)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), _u1367), _u1368))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), _u1368), _u1366))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1369, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1369, tc_HOL_Obool)), _u1370), _u1371)), _u1372) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1369, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1369, tc_HOL_Obool)), _u1370), _u1372)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1369, tc_HOL_Obool)), _u1371), _u1372))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1373, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1373, tc_HOL_Obool)), _u1374), _u1375)), _u1376) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1373, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1373, tc_HOL_Obool)), _u1374), _u1376)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1373, tc_HOL_Obool)), _u1375), _u1376))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1378), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1377, tc_HOL_Obool)), _u1379), _u1380)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1377, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1378), _u1379)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1378), _u1380))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1381, tc_HOL_Obool)), _u1382), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1381, tc_HOL_Obool)), _u1383), _u1384)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1381, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1381, tc_HOL_Obool)), _u1382), _u1383)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1381, tc_HOL_Obool)), _u1382), _u1384))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1385, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1385, tc_HOL_Obool))), hAPP(c_Set_OPow(_u1385), _u1386))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u1387), c_Orderings_Obot__class_Obot(tc_fun(_u1387, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1387, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1387, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1387, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u1388), hAPP(hAPP(c_Set_Oinsert(_u1388), _u1389), _u1390)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1388, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1388), _u1390)), hAPP(c_Set_Oimage(tc_fun(_u1388, tc_HOL_Obool), tc_fun(_u1388, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u1388), _u1389)), hAPP(c_Set_OPow(_u1388), _u1390)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1394, tc_HOL_Obool)), _u1396), hAPP(c_Set_OPow(_u1394), _u1398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1394, tc_HOL_Obool)), _u1396), _u1398)) )).
% 12.21/12.36 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1395, tc_HOL_Obool)), _u1397), hAPP(c_Set_OPow(_u1395), _u1399))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_PowD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1400, tc_HOL_Obool)), _u1401), hAPP(c_Set_OPow(_u1400), _u1402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1400, tc_HOL_Obool)), _u1401), _u1402)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u1403, _u1404, _u1405), _u1406) != _u1407) | ( hAPP(c_Set_Oimage(tc_fun(_u1403, tc_HOL_Obool), tc_fun(_u1404, tc_HOL_Obool), c_Set_Oimage(_u1403, _u1404, _u1405)), hAPP(c_Set_OPow(_u1403), _u1406)) = hAPP(c_Set_OPow(_u1404), _u1407)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1412, tc_fun(_u1412, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1412)), _u1414)), hAPP(hAPP(c_COMBC(_u1412, tc_fun(_u1412, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1412)), _u1416)), _u1418)) | hBOOL(hAPP(hAPP(c_member(_u1412), _u1418), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1414), _u1416))) )).
% 12.21/12.36 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1413), _u1419), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1413, tc_HOL_Obool)), _u1415), _u1417))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1413, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1413, tc_fun(_u1413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1413)), _u1415)), hAPP(hAPP(c_COMBC(_u1413, tc_fun(_u1413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1413)), _u1417)), _u1419)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_weak__coinduct ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_weak__coinduct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1420), _u1421), _u1422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1420, tc_HOL_Obool)), _u1422), hAPP(_u1423, _u1422))) | hBOOL(hAPP(hAPP(c_member(_u1420), _u1421), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1420, tc_HOL_Obool), _u1423))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u1424), hAPP(hAPP(c_COMBS(_u1424, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1424), c_fconj), _u1425)), _u1426)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1424, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1424), _u1425)), hAPP(c_Set_OCollect(_u1424), _u1426))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u1427), _u1428) = hAPP(c_Set_OCollect(tc_fun(_u1427, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u1427, tc_HOL_Obool), tc_fun(_u1427, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u1427, tc_HOL_Obool))), _u1428))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_gfp__lemma2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_gfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1429) | ~c_Orderings_Oorder__class_Omono(_u1429, _u1429, _u1430) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1429), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1429, _u1430)), hAPP(_u1430, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1429, _u1430)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_gfp__lemma3 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_gfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1431) | ~c_Orderings_Oorder__class_Omono(_u1431, _u1431, _u1432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1431), hAPP(_u1432, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1431, _u1432))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1431, _u1432))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u1433) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1433), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1433), _u1434), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1433), _u1435), _u1436))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1433), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1433), _u1434), _u1435)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1433), _u1434), _u1436)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u1437) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1437), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1437), _u1438), _u1439)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1437), _u1438), _u1440))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1437), _u1438), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1437), _u1439), _u1440)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1445), _u1447), _u1449)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1445, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1445), _u1447), _u1451)), _u1449) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1445, tc_HOL_Obool)), _u1451), _u1449)) )).
% 12.21/12.36 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1446), _u1448), _u1450)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1446, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1446), _u1448), _u1452)), _u1450) = hAPP(hAPP(c_Set_Oinsert(_u1446), _u1448), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1446, tc_HOL_Obool)), _u1452), _u1450))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1453), _u1454), _u1455)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1453, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1453), _u1454), _u1456)), _u1455) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1453, tc_HOL_Obool)), _u1456), _u1455)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1457), _u1458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1457, tc_HOL_Obool)), _u1459), hAPP(hAPP(c_Set_Oinsert(_u1457), _u1458), c_Orderings_Obot__class_Obot(tc_fun(_u1457, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1457), _u1458), _u1459)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1460, tc_HOL_Obool)), _u1461), hAPP(hAPP(c_Set_Oinsert(_u1460), _u1462), _u1463)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1460, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1460, tc_HOL_Obool)), _u1461), hAPP(hAPP(c_Set_Oinsert(_u1460), _u1462), c_Orderings_Obot__class_Obot(tc_fun(_u1460, tc_HOL_Obool))))), _u1463)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1464, tc_HOL_Obool)), _u1465), hAPP(hAPP(c_Set_Oinsert(_u1464), _u1466), _u1467)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1464, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1464, tc_HOL_Obool)), _u1465), _u1467)), hAPP(hAPP(c_Set_Oinsert(_u1464), _u1466), c_Orderings_Obot__class_Obot(tc_fun(_u1464, tc_HOL_Obool))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1472), _u1474), _u1476)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1472, tc_HOL_Obool)), _u1476), hAPP(hAPP(c_Set_Oinsert(_u1472), _u1474), _u1478)) = hAPP(hAPP(c_Set_Oinsert(_u1472), _u1474), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1472, tc_HOL_Obool)), _u1476), _u1478))) )).
% 12.21/12.36 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1473), _u1475), _u1477)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1473, tc_HOL_Obool)), _u1477), hAPP(hAPP(c_Set_Oinsert(_u1473), _u1475), _u1479)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1473, tc_HOL_Obool)), _u1477), _u1479)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1484), _u1486), _u1488)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1484), _u1486), _u1490)), _u1488) = hAPP(hAPP(c_Set_Oinsert(_u1484), _u1486), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool)), _u1490), _u1488))) )).
% 12.21/12.36 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1485), _u1487), _u1489)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1485, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1485), _u1487), _u1491)), _u1489) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1485, tc_HOL_Obool)), _u1491), _u1489)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1492), _u1493), _u1494)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool)), _u1494), hAPP(hAPP(c_Set_Oinsert(_u1492), _u1493), _u1495)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool)), _u1494), _u1495)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1496), _u1497), _u1498)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1496, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1496), _u1497), _u1499)), _u1498) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1496, tc_HOL_Obool)), _u1499), _u1498)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1501), _u1502)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool)), _u1502), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1501), _u1503)) = hAPP(hAPP(c_Set_Oinsert(_u1500), _u1501), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool)), _u1502), _u1503))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1504), _u1505), _u1506)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1504, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1504), _u1505), _u1507)), _u1506) = hAPP(hAPP(c_Set_Oinsert(_u1504), _u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1504, tc_HOL_Obool)), _u1507), _u1506))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1508, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1508, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1509, _u1508, _u1510), _u1511)), hAPP(c_Set_Oimage(_u1509, _u1508, _u1510), _u1512))), hAPP(c_Set_Oimage(_u1509, _u1508, _u1510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1509, tc_HOL_Obool)), _u1511), _u1512)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mono__inf ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1513) | ~class_Lattices_Osemilattice__inf(_u1514) | ~c_Orderings_Oorder__class_Omono(_u1514, _u1513, _u1515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1513), hAPP(_u1515, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1514), _u1516), _u1517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), hAPP(_u1515, _u1516)), hAPP(_u1515, _u1517)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1522, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1522, tc_HOL_Obool)), _u1524), _u1526)), _u1528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1522, tc_HOL_Obool)), _u1524), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1522, tc_HOL_Obool)), _u1526), _u1528))) )).
% 12.21/12.36 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1523, tc_HOL_Obool)), _u1525), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1523, tc_HOL_Obool)), _u1527), _u1529))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1523, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1523, tc_HOL_Obool)), _u1525), _u1527)), _u1529)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1530, tc_HOL_Obool)), _u1531), _u1532)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1530, tc_HOL_Obool)), _u1531), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1530, tc_HOL_Obool)), _u1532), _u1531)) = _u1532) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1533, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1534, _u1533, _u1535), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1534, tc_HOL_Obool)), _u1536), _u1537))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1533, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1534, _u1533, _u1535), _u1536)), hAPP(c_Set_Oimage(_u1534, _u1533, _u1535), _u1537)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1542, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1542, tc_HOL_Obool)), _u1544), _u1546)), _u1548) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1542, tc_HOL_Obool)), _u1544), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1542, tc_HOL_Obool)), _u1546), _u1548))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1542, tc_HOL_Obool)), _u1548), _u1544)) )).
% 12.21/12.36 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1543, tc_HOL_Obool)), _u1549), _u1545)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1543, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1543, tc_HOL_Obool)), _u1545), _u1547)), _u1549) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1543, tc_HOL_Obool)), _u1545), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1543, tc_HOL_Obool)), _u1547), _u1549))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_weak__coinduct__image ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_weak__coinduct__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1550), _u1551), _u1552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1553, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1550, _u1553, _u1554), _u1552)), hAPP(_u1555, hAPP(c_Set_Oimage(_u1550, _u1553, _u1554), _u1552)))) | hBOOL(hAPP(hAPP(c_member(_u1553), hAPP(_u1554, _u1551)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1553, tc_HOL_Obool), _u1555))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1556, tc_HOL_Obool)), _u1557), _u1558) = hAPP(c_Set_OCollect(_u1556), hAPP(hAPP(c_COMBS(_u1556, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1556), c_fconj), hAPP(hAPP(c_COMBC(_u1556, tc_fun(_u1556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1556)), _u1557))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1556), c_fNot), hAPP(hAPP(c_COMBC(_u1556, tc_fun(_u1556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1556)), _u1558))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mono__Int ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mono__Int-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1559, tc_HOL_Obool), tc_fun(_u1560, tc_HOL_Obool), _u1561) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1560, tc_HOL_Obool)), hAPP(_u1561, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1559, tc_HOL_Obool)), _u1562), _u1563))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1560, tc_HOL_Obool)), hAPP(_u1561, _u1562)), hAPP(_u1561, _u1563)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1568), _u1570), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), _u1572), hAPP(c_Set_OCollect(_u1568), _u1574)))) | hBOOL(hAPP(hAPP(c_member(_u1568), _u1570), _u1572)) )).
% 12.21/12.36 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1568), _u1570), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), _u1572), hAPP(c_Set_OCollect(_u1568), _u1574)))) | hBOOL(hAPP(_u1574, _u1570)) )).
% 12.21/12.36 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1569), _u1571), _u1573)) | ~hBOOL(hAPP(_u1575, _u1571)) | hBOOL(hAPP(hAPP(c_member(_u1569), _u1571), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1569, tc_HOL_Obool)), _u1573), hAPP(c_Set_OCollect(_u1569), _u1575)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1576, tc_HOL_Obool)), _u1577), _u1578) = hAPP(c_Set_OCollect(_u1576), hAPP(hAPP(c_COMBS(_u1576, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1576), c_fconj), hAPP(hAPP(c_COMBC(_u1576, tc_fun(_u1576, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1576)), _u1577))), hAPP(hAPP(c_COMBC(_u1576, tc_fun(_u1576, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1576)), _u1578)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_gfp__fun__UnI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_gfp__fun__UnI2-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1579, tc_HOL_Obool), tc_fun(_u1579, tc_HOL_Obool), _u1580) | ~hBOOL(hAPP(hAPP(c_member(_u1579), _u1581), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1579, tc_HOL_Obool), _u1580))) | hBOOL(hAPP(hAPP(c_member(_u1579), _u1581), hAPP(_u1580, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1579, tc_HOL_Obool)), _u1582), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1579, tc_HOL_Obool), _u1580))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1583, tc_HOL_Obool)), _u1584), _u1585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1583, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1583), _u1584)), hAPP(c_Set_OPow(_u1583), _u1585))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_coinduct ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1586) | ~c_Orderings_Oorder__class_Omono(_u1586, _u1586, _u1587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1586), _u1588), hAPP(_u1587, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1586), _u1588), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1586, _u1587))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1586), _u1588), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1586, _u1587))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_coinduct__lemma ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_coinduct__lemma-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1589), _u1590), hAPP(_u1591, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1589, _u1591))))) | ~c_Orderings_Oorder__class_Omono(_u1589, _u1589, _u1591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1589, _u1591))), hAPP(_u1591, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1589, _u1591))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__coinduct ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1592) | ( _u1593 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1592, _u1594)) | ~c_Orderings_Oorder__class_Omono(_u1592, _u1592, _u1594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1592), _u1595), hAPP(_u1594, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1592), _u1595), _u1593)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1592), _u1595), _u1593)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1596, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1596, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1596), _u1597)), hAPP(c_Set_OPow(_u1596), _u1598))), hAPP(c_Set_OPow(_u1596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1596, tc_HOL_Obool)), _u1597), _u1598)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1599), _u1600), _u1601)) | ( hAPP(hAPP(c_Set_Oinsert(_u1599), _u1600), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1599, tc_HOL_Obool)), _u1601), hAPP(hAPP(c_Set_Oinsert(_u1599), _u1600), c_Orderings_Obot__class_Obot(tc_fun(_u1599, tc_HOL_Obool))))) = _u1601) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1602), _u1603), _u1604)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1602, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1602), _u1603), _u1604)), hAPP(hAPP(c_Set_Oinsert(_u1602), _u1603), c_Orderings_Obot__class_Obot(tc_fun(_u1602, tc_HOL_Obool)))) = _u1604) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1608, tc_HOL_Obool)), _u1610), hAPP(hAPP(c_Set_Oinsert(_u1608), _u1612), c_Orderings_Obot__class_Obot(tc_fun(_u1608, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1608, _u1612, _u1610) = _u1612) )).
% 12.21/12.36 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), c_Orderings_Obot__class_Obot(tc_fun(_u1609, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1609, _u1613, _u1611) = c_HOL_OThe(_u1609, hAPP(hAPP(c_COMBC(_u1609, tc_fun(_u1609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1609)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), c_Orderings_Obot__class_Obot(tc_fun(_u1609, tc_HOL_Obool))))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_coinduct3 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_coinduct3-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool), _u1615) | ~hBOOL(hAPP(hAPP(c_member(_u1614), _u1616), _u1617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1614, tc_HOL_Obool)), _u1617), hAPP(_u1615, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1614, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1614, tc_HOL_Obool), tc_fun(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), tc_fun(_u1614, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1614, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1614, tc_HOL_Obool), tc_fun(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), tc_fun(_u1614, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1614, tc_HOL_Obool))), _u1615)), _u1617))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1614, tc_HOL_Obool), _u1615)))))) | hBOOL(hAPP(hAPP(c_member(_u1614), _u1616), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1614, tc_HOL_Obool), _u1615))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__coinduct3 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__coinduct3-1, axiom, ( ( _u1618 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1619, tc_HOL_Obool), _u1620)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool), _u1620) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1621), _u1622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1622), hAPP(_u1620, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1619, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1619, tc_HOL_Obool), tc_fun(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), tc_fun(_u1619, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1619, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1619, tc_HOL_Obool), tc_fun(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), tc_fun(_u1619, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1619, tc_HOL_Obool))), _u1620)), _u1622))), _u1618))))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1621), _u1618)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__Collect__coinduct ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__Collect__coinduct-1, axiom, ( ( _u1624 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626)) | ~hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1628)) | hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1624)) | hBOOL(hAPP(hAPP(c_member(_u1625), skolem25(_u1628, _u1627, _u1626, _u1625, _u1624)), _u1628)) )).
% 12.21/12.36 cnf(fact_def__Collect__coinduct-2, axiom, ( ( _u1624 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626)) | ~hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1628)) | hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1624)) | ~hBOOL(hAPP(hAPP(_u1626, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1625, tc_HOL_Obool)), _u1628), _u1624)), skolem25(_u1628, _u1627, _u1626, _u1625, _u1624))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1629) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1630), _u1631) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1632), _u1633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1632), _u1633)) )).
% 12.21/12.36 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1629) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1630), _u1631) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1632), _u1633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1632), _u1633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1640), _u1642), _u1644)) | ( hAPP(c_Set_Oimage(_u1640, _u1646, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1640, _u1646), _u1648), _u1642), _u1650)), _u1644) = hAPP(hAPP(c_Set_Oinsert(_u1646), _u1650), hAPP(c_Set_Oimage(_u1640, _u1646, _u1648), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1640, tc_HOL_Obool)), _u1644), hAPP(hAPP(c_Set_Oinsert(_u1640), _u1642), c_Orderings_Obot__class_Obot(tc_fun(_u1640, tc_HOL_Obool))))))) )).
% 12.21/12.36 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1641), _u1643), _u1645)) | ( hAPP(c_Set_Oimage(_u1641, _u1647, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1641, _u1647), _u1649), _u1643), _u1651)), _u1645) = hAPP(c_Set_Oimage(_u1641, _u1647, _u1649), _u1645)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_coinduct3__lemma ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_coinduct3__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1652, tc_HOL_Obool)), _u1653), hAPP(_u1654, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1652, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), _u1654)), _u1653))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1652, tc_HOL_Obool), _u1654)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), _u1654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1652, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1652, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), _u1654)), _u1653))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1652, tc_HOL_Obool), _u1654)))), hAPP(_u1654, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1652, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), _u1654)), _u1653))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1652, tc_HOL_Obool), _u1654)))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), _u1665))) | ~hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1665)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), _u1665))) | hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1665)) | ~hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), c_Orderings_Obot__class_Obot(tc_fun(_u1659, tc_HOL_Obool))))), _u1665)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), _u1665))) | hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1665)) | hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1665)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | ~hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) )).
% 12.21/12.36 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), _u1669), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1669), hAPP(c_Set_OCollect(_u1668), _u1671))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1670), hAPP(c_Set_OCollect(_u1668), _u1672)))) | hBOOL(hAPP(hAPP(c_member(_u1668), skolem26(_u1672, _u1671, _u1670, _u1669, _u1668)), _u1669)) )).
% 12.21/12.36 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), _u1669), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1669), hAPP(c_Set_OCollect(_u1668), _u1671))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1670), hAPP(c_Set_OCollect(_u1668), _u1672)))) | hBOOL(hAPP(_u1671, skolem26(_u1672, _u1671, _u1670, _u1669, _u1668))) )).
% 12.21/12.36 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), _u1669), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1669), hAPP(c_Set_OCollect(_u1668), _u1671))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1670), hAPP(c_Set_OCollect(_u1668), _u1672)))) | ~hBOOL(hAPP(_u1672, skolem26(_u1672, _u1671, _u1670, _u1669, _u1668))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1673), _u1674), _u1675)) | ~c_Nitpick_Ofold__graph_H(_u1673, _u1676, _u1677, _u1678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1673, tc_HOL_Obool)), _u1675), hAPP(hAPP(c_Set_Oinsert(_u1673), _u1674), c_Orderings_Obot__class_Obot(tc_fun(_u1673, tc_HOL_Obool)))), _u1679) | c_Nitpick_Ofold__graph_H(_u1673, _u1676, _u1677, _u1678, _u1675, hAPP(hAPP(_u1677, _u1674), _u1679)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__induct ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1680) | ~c_Orderings_Oorder__class_Omono(_u1680, _u1680, _u1681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1680), hAPP(_u1681, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1680), c_Inductive_Ocomplete__lattice__class_Olfp(_u1680, _u1681)), _u1682))), _u1682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1680), c_Inductive_Ocomplete__lattice__class_Olfp(_u1680, _u1681)), _u1682)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__triv-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1683, _u1684), _u1685), _u1686), hAPP(_u1685, _u1686)) = _u1685) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u1696, _u1698) = _u1700) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1692, _u1694), _u1696), _u1698), _u1700) != _u1696) )).
% 12.21/12.36 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u1697, _u1699) != _u1701) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1693, _u1695), _u1697), _u1699), _u1701) = _u1697) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__upd-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1702, _u1703), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1702, _u1703), _u1704), _u1705), _u1706)), _u1705), _u1707) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1702, _u1703), _u1704), _u1705), _u1707)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1708, _u1709), _u1710), _u1711), _u1712), _u1711) = _u1712) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__apply-1, axiom, ( ( _u1719 != _u1721) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1723, _u1725), _u1727), _u1721), _u1729), _u1719) = _u1729) )).
% 12.21/12.36 cnf(fact_fun__upd__apply-2, axiom, ( ( _u1720 = _u1722) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1724, _u1726), _u1728), _u1722), _u1730), _u1720) = hAPP(_u1728, _u1720)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__twist-1, axiom, ( ( _u1731 = _u1732) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), _u1735), _u1731), _u1736)), _u1732), _u1737) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), _u1735), _u1732), _u1737)), _u1731), _u1736)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__other-1, axiom, ( ( _u1738 = _u1739) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1740, _u1741), _u1742), _u1739), _u1743), _u1738) = hAPP(_u1742, _u1738)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u1744, _u1745) != _u1746) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1747, _u1748), _u1744), _u1745), _u1746) = _u1744) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1749), _u1750), _u1750)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1751) | ( _u1752 = _u1753) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1752), _u1753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1753), _u1752)) )).
% 12.21/12.36 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1751) | ( _u1752 != _u1753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1752), _u1753)) )).
% 12.21/12.36 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1751) | ( _u1752 != _u1753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1753), _u1752)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1754) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1755), _u1756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1756), _u1755)) | ( _u1755 = _u1756) )).
% 12.21/12.36 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1755), _u1756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1756), _u1755)) )).
% 12.21/12.36 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1755), _u1756)) | ( _u1755 != _u1756) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1758), _u1759)) | ( _u1758 = _u1759) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1759), _u1758)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1761), _u1762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1762), _u1761)) | ( _u1762 = _u1761) )).
% 12.21/12.36 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1761), _u1762)) | ( _u1762 != _u1761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1762), _u1761)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1763) | ( _u1764 = _u1765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1764), _u1765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1765), _u1764)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1767), _u1768)) | ( _u1767 != _u1768) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), _u1770), _u1771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), _u1771), _u1770)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1772), _u1773), _u1774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1772), _u1774), _u1773)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1775), _u1776), _u1777)) | ( _u1776 != _u1777) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1778), _u1779), _u1780)) | ( _u1780 != _u1779) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1781), _u1782), _u1783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1781), _u1783), _u1782)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1784), _u1785), _u1786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1784), _u1786), _u1785)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1787) | ( _u1788 != _u1789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1787), _u1789), _u1790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1787), _u1788), _u1790)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1791) | ( _u1792 != _u1793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), _u1794), _u1793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), _u1794), _u1792)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1795, tc_HOL_Obool)), _u1797), _u1798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1798)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1799), _u1800), _u1801)) | ( _u1801 != _u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1799), _u1800), _u1802)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1803), _u1804), _u1805)) | ( _u1804 != _u1806) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1803), _u1806), _u1805)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1807), _u1808), _u1809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1807), _u1809), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1807), _u1808), _u1810)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1814), _u1812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1814), _u1813)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), _u1817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1817), _u1816)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1818), _u1819), _u1820)) | ( _u1819 = _u1820) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1818), _u1820), _u1819)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1821) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1822), _u1823) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1824), _u1825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1822), _u1823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1824), _u1825)) )).
% 12.21/12.36 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1821) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1822), _u1823) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1824), _u1825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1824), _u1825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1822), _u1823)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__def-1, axiom, ( ( _u1832 != _u1834) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1836, _u1838), _u1840), _u1834), _u1842), _u1832) = _u1842) )).
% 12.21/12.36 cnf(fact_fun__upd__def-2, axiom, ( ( _u1833 = _u1835) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1837, _u1839), _u1841), _u1835), _u1843), _u1833) = hAPP(_u1841, _u1833)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__const ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1844) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u1844, hAPP(c_COMBK(_u1844, _u1844), _u1845)) = _u1845) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1846, _u1847, _u1848, _u1849, c_Orderings_Obot__class_Obot(tc_fun(_u1846, tc_HOL_Obool)), _u1849) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1850, _u1851, _u1852, _u1853, c_Orderings_Obot__class_Obot(tc_fun(_u1850, tc_HOL_Obool)), _u1853) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1855, _u1854)), _u1856), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1856), _u1857)) )).
% 12.21/12.36 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1855, _u1854)), _u1856), _u1857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1857), _u1856)) )).
% 12.21/12.36 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1856), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1857), _u1856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1855, _u1854)), _u1856), _u1857)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1858) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), _u1859), _u1860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1858), _u1860), _u1859)) )).
% 12.21/12.36 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1858), _u1860), _u1859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), _u1859), _u1860)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), _u1862), _u1863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1863), _u1862)) )).
% 12.21/12.36 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1863), _u1862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), _u1862), _u1863)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1864), _u1865), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1864), _u1866), _u1865)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u1867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1867), _u1868), _u1869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1867), _u1868), _u1869)) )).
% 12.21/12.36 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1867), _u1868), _u1869)) | ( _u1868 != _u1869) )).
% 12.21/12.36 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1867), _u1868), _u1869)) | ( _u1868 = _u1869) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1867), _u1868), _u1869)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1871), _u1872)) )).
% 12.21/12.36 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1872), _u1871)) )).
% 12.21/12.36 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1871), _u1872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1872), _u1871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1872)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1873), _u1874), _u1875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), _u1874), _u1875)) | ( _u1874 = _u1875) )).
% 12.21/12.36 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1873) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1873), _u1874), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), _u1874), _u1875)) )).
% 12.21/12.36 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1873) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1873), _u1874), _u1875)) | ( _u1874 != _u1875) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_leI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1876), _u1877), _u1878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1876), _u1878), _u1877)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1879) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1879), _u1880), _u1881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1879), _u1881), _u1880)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), _u1883), _u1884)) | ( _u1883 = _u1884) )).
% 12.21/12.36 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1884)) | ( _u1883 != _u1884) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), _u1883), _u1884)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1885) | ( _u1886 = _u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1885), _u1886), _u1887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1885), _u1886), _u1887)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1888) | ( _u1889 = _u1890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1888), _u1890), _u1889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), _u1890), _u1889)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_leD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1891), _u1892), _u1893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), _u1893), _u1892)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1894), _u1895), _u1896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1894), _u1895), _u1896)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1897), _u1898), _u1899)) | ( _u1898 = _u1899) )).
% 12.21/12.36 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) | ( _u1898 != _u1899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1897), _u1898), _u1899)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1900), _u1901), _u1902)) | ( _u1901 = _u1902) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1903), _u1904), _u1905)) | ( _u1904 = _u1905) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1903), _u1904), _u1905)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1906) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1906), _u1907), _u1908)) | ( _u1908 = _u1907) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1906), _u1907), _u1908)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1909), _u1910), _u1911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1909), _u1911), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1909), _u1910), _u1912)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1913) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1913), _u1914), _u1915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1913), _u1916), _u1914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1913), _u1916), _u1915)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), _u1919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1919), _u1920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1918), _u1920)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1921), _u1922), _u1923)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1921), _u1924), _u1922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1921), _u1924), _u1923)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1925, tc_HOL_Obool)), _u1926), _u1927)) | ~hBOOL(hAPP(hAPP(c_member(_u1925), _u1928), _u1926)) | hBOOL(hAPP(hAPP(c_member(_u1925), _u1928), _u1927)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1929, tc_HOL_Obool)), _u1930), c_Orderings_Obot__class_Obot(tc_fun(_u1929, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1931), _u1932), _u1933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1931), _u1932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1931), _u1934), _u1933))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1935), _u1936), _u1937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1935), _u1936), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1935), _u1937), _u1938))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1939) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1939), _u1940), _u1941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1939), _u1940), _u1942)), _u1941)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1943), _u1944), _u1945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1943), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1943), _u1946), _u1944)), _u1945)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1950, tc_HOL_Obool)), _u1952), _u1954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1950, tc_HOL_Obool)), _u1952), _u1954)) )).
% 12.21/12.36 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1950, tc_HOL_Obool)), _u1952), _u1954)) | ( _u1952 != _u1954) )).
% 12.21/12.36 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1951, tc_HOL_Obool)), _u1953), _u1955)) | ( _u1953 = _u1955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1951, tc_HOL_Obool)), _u1953), _u1955)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1959, tc_HOL_Obool)), _u1961), _u1963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1959, tc_HOL_Obool)), _u1961), _u1963)) | ( _u1961 = _u1963) )).
% 12.21/12.36 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1960, tc_HOL_Obool)), _u1962), _u1964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1960, tc_HOL_Obool)), _u1962), _u1964)) )).
% 12.21/12.36 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1960, tc_HOL_Obool)), _u1962), _u1964)) | ( _u1962 != _u1964) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1968, tc_HOL_Obool)), _u1970), _u1971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1971)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1972, tc_HOL_Obool)), _u1973), _u1974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1972, tc_HOL_Obool)), _u1974), _u1975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1972, tc_HOL_Obool)), _u1973), _u1975)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_strict__mono__less ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_strict__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u1976) | ~class_Orderings_Olinorder(_u1977) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1977, _u1976, _u1978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), hAPP(_u1978, _u1979)), hAPP(_u1978, _u1980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1979), _u1980)) )).
% 12.21/12.36 cnf(fact_strict__mono__less-2, axiom, ( ~class_Orderings_Oorder(_u1976) | ~class_Orderings_Olinorder(_u1977) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1977, _u1976, _u1978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1979), _u1980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), hAPP(_u1978, _u1979)), hAPP(_u1978, _u1980))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_strict__monoD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_strict__monoD-1, axiom, ( ~class_Orderings_Oorder(_u1981) | ~class_Orderings_Oorder(_u1982) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1982, _u1981, _u1983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1982), _u1984), _u1985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1981), hAPP(_u1983, _u1984)), hAPP(_u1983, _u1985))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__lowerbound ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__lowerbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1986), hAPP(_u1987, _u1988)), _u1988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1986), c_Inductive_Ocomplete__lattice__class_Olfp(_u1986, _u1987)), _u1988)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_not__less__Least ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_not__less__Least-1, axiom, ( ~class_Orderings_Owellorder(_u1989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), _u1990), c_Orderings_Oord__class_OLeast(_u1989, _u1991))) | ~hBOOL(hAPP(_u1991, _u1990)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__lfp__unfold ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1992) | ( _u1993 != c_Inductive_Ocomplete__lattice__class_Olfp(_u1992, _u1994)) | ~c_Orderings_Oorder__class_Omono(_u1992, _u1992, _u1994) | ( _u1993 = hAPP(_u1994, _u1993)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__unfold ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1995) | ~c_Orderings_Oorder__class_Omono(_u1995, _u1995, _u1996) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u1995, _u1996) = hAPP(_u1996, c_Inductive_Ocomplete__lattice__class_Olfp(_u1995, _u1996))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__lemma2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1997) | ~c_Orderings_Oorder__class_Omono(_u1997, _u1997, _u1998) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), hAPP(_u1998, c_Inductive_Ocomplete__lattice__class_Olfp(_u1997, _u1998))), c_Inductive_Ocomplete__lattice__class_Olfp(_u1997, _u1998))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__lemma3 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1999) | ~c_Orderings_Oorder__class_Omono(_u1999, _u1999, _u2000) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1999), c_Inductive_Ocomplete__lattice__class_Olfp(_u1999, _u2000)), hAPP(_u2000, c_Inductive_Ocomplete__lattice__class_Olfp(_u1999, _u2000)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2001) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2002), _u2003) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2004), _u2005)) | ( _u2002 != _u2003) | ( _u2004 = _u2005) )).
% 12.21/12.36 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u2001) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2002), _u2003) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2004), _u2005)) | ( _u2004 != _u2005) | ( _u2002 = _u2003) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__lfp__induct ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2006) | ( _u2007 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2006, _u2008)) | ~c_Orderings_Oorder__class_Omono(_u2006, _u2006, _u2008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2006), hAPP(_u2008, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2006), _u2007), _u2009))), _u2009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2006), _u2007), _u2009)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_lfp__induct__set ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_lfp__induct__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2011), _u2012), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2011, tc_HOL_Obool), _u2013))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2011, tc_HOL_Obool), tc_fun(_u2011, tc_HOL_Obool), _u2013) | hBOOL(hAPP(_u2014, _u2012)) | hBOOL(hAPP(hAPP(c_member(_u2011), skolem27(_u2014, _u2013, _u2012, _u2011)), hAPP(_u2013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2011, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2011, tc_HOL_Obool), _u2013)), hAPP(c_Set_OCollect(_u2011), _u2014))))) )).
% 12.21/12.36 cnf(fact_lfp__induct__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2011), _u2012), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2011, tc_HOL_Obool), _u2013))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2011, tc_HOL_Obool), tc_fun(_u2011, tc_HOL_Obool), _u2013) | hBOOL(hAPP(_u2014, _u2012)) | ~hBOOL(hAPP(_u2014, skolem27(_u2014, _u2013, _u2012, _u2011))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_def__lfp__induct__set ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_def__lfp__induct__set-1, axiom, ( ( _u2016 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2017, tc_HOL_Obool), _u2018)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2017, tc_HOL_Obool), tc_fun(_u2017, tc_HOL_Obool), _u2018) | ~hBOOL(hAPP(hAPP(c_member(_u2017), _u2019), _u2016)) | hBOOL(hAPP(_u2020, _u2019)) | hBOOL(hAPP(hAPP(c_member(_u2017), skolem28(_u2020, _u2019, _u2018, _u2017, _u2016)), hAPP(_u2018, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2017, tc_HOL_Obool)), _u2016), hAPP(c_Set_OCollect(_u2017), _u2020))))) )).
% 12.21/12.36 cnf(fact_def__lfp__induct__set-2, axiom, ( ( _u2016 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2017, tc_HOL_Obool), _u2018)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2017, tc_HOL_Obool), tc_fun(_u2017, tc_HOL_Obool), _u2018) | ~hBOOL(hAPP(hAPP(c_member(_u2017), _u2019), _u2016)) | hBOOL(hAPP(_u2020, _u2019)) | ~hBOOL(hAPP(_u2020, skolem28(_u2020, _u2019, _u2018, _u2017, _u2016))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( _u2040 = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), _u2040)) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( _u2040 = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = hAPP(hAPP(_u2036, skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032))) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( _u2040 = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2032, tc_HOL_Obool)), _u2040), hAPP(hAPP(c_Set_Oinsert(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool)))), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = _u2038) | hBOOL(hAPP(hAPP(c_member(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), _u2040)) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = _u2038) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = hAPP(hAPP(_u2036, skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032))) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = _u2038) | c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2032, tc_HOL_Obool)), _u2040), hAPP(hAPP(c_Set_Oinsert(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool)))), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u2033, _u2035, _u2037, _u2039, _u2041, hAPP(hAPP(_u2037, _u2043), _u2045)) | ( _u2041 != c_Orderings_Obot__class_Obot(tc_fun(_u2033, tc_HOL_Obool))) | ( hAPP(hAPP(_u2037, _u2043), _u2045) != _u2039) )).
% 12.21/12.36 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u2033, _u2035, _u2037, _u2039, _u2041, hAPP(hAPP(_u2037, _u2043), _u2045)) | ~hBOOL(hAPP(hAPP(c_member(_u2033), _u2024), _u2041)) | ( hAPP(hAPP(_u2037, _u2043), _u2045) != hAPP(hAPP(_u2037, _u2024), _u2023)) | ~c_Nitpick_Ofold__graph_H(_u2033, _u2035, _u2037, _u2039, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2033, tc_HOL_Obool)), _u2041), hAPP(hAPP(c_Set_Oinsert(_u2033), _u2024), c_Orderings_Obot__class_Obot(tc_fun(_u2033, tc_HOL_Obool)))), _u2023) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2046) | ~class_Enum_Oenum(_u2047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2047, _u2046)), _u2048), _u2049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2047, _u2046)), _u2048), _u2049)) )).
% 12.21/12.36 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u2046) | ~class_Enum_Oenum(_u2047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2047, _u2046)), _u2048), _u2049)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2047), c_fNot), hAPP(hAPP(c_COMBS(_u2047, _u2046, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2046, tc_fun(_u2046, tc_HOL_Obool), _u2047), c_fequal), _u2048)), _u2049)))) )).
% 12.21/12.36 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u2046) | ~class_Enum_Oenum(_u2047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2047, _u2046)), _u2048), _u2049)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2047), c_fNot), hAPP(hAPP(c_COMBS(_u2047, _u2046, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2046, tc_fun(_u2046, tc_HOL_Obool), _u2047), c_fequal), _u2048)), _u2049)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2047, _u2046)), _u2048), _u2049)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u2055, _u2057, _u2059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063)) | c_Fun_Oinj__on(_u2055, _u2057, _u2059, _u2061) )).
% 12.21/12.36 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u2055, _u2057, _u2059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063)) | c_Fun_Oinj__on(_u2055, _u2057, _u2059, _u2063) )).
% 12.21/12.36 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u2055, _u2057, _u2059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2057, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2055, _u2057, _u2059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063))), hAPP(c_Set_Oimage(_u2055, _u2057, _u2059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2055, tc_HOL_Obool)), _u2063), _u2061))) = c_Orderings_Obot__class_Obot(tc_fun(_u2057, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u2056, _u2058, _u2060, _u2062) | ~c_Fun_Oinj__on(_u2056, _u2058, _u2060, _u2064) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2058, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2056, _u2058, _u2060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2056, tc_HOL_Obool)), _u2062), _u2064))), hAPP(c_Set_Oimage(_u2056, _u2058, _u2060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2056, tc_HOL_Obool)), _u2064), _u2062))) != c_Orderings_Obot__class_Obot(tc_fun(_u2058, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2056, _u2058, _u2060, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2056, tc_HOL_Obool)), _u2062), _u2064)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u2070, _u2072, _u2074, hAPP(hAPP(c_Set_Oinsert(_u2070), _u2076), _u2078)) | c_Fun_Oinj__on(_u2070, _u2072, _u2074, _u2078) )).
% 12.21/12.36 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u2070, _u2072, _u2074, hAPP(hAPP(c_Set_Oinsert(_u2070), _u2076), _u2078)) | ~hBOOL(hAPP(hAPP(c_member(_u2072), hAPP(_u2074, _u2076)), hAPP(c_Set_Oimage(_u2070, _u2072, _u2074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2070, tc_HOL_Obool)), _u2078), hAPP(hAPP(c_Set_Oinsert(_u2070), _u2076), c_Orderings_Obot__class_Obot(tc_fun(_u2070, tc_HOL_Obool))))))) )).
% 12.21/12.36 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u2071, _u2073, _u2075, _u2079) | hBOOL(hAPP(hAPP(c_member(_u2073), hAPP(_u2075, _u2077)), hAPP(c_Set_Oimage(_u2071, _u2073, _u2075), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2071, tc_HOL_Obool)), _u2079), hAPP(hAPP(c_Set_Oinsert(_u2071), _u2077), c_Orderings_Obot__class_Obot(tc_fun(_u2071, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u2071, _u2073, _u2075, hAPP(hAPP(c_Set_Oinsert(_u2071), _u2077), _u2079)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u2080, _u2081, _u2082, _u2083), _u2084) = c_HOL_OThe(_u2080, hAPP(hAPP(c_COMBS(_u2080, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2080), c_fconj), hAPP(hAPP(c_COMBC(_u2080, tc_fun(_u2080, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2080)), _u2082))), hAPP(hAPP(c_COMBC(_u2080, _u2081, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2081, tc_fun(_u2081, tc_HOL_Obool), _u2080), c_fequal), _u2083)), _u2084)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_mk__less__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_mk__less__def-1, axiom, ( ~c_Partial__Function_Omk__less(_u2089, _u2091, _u2093, _u2095) | hBOOL(hAPP(hAPP(_u2091, _u2093), _u2095)) )).
% 12.21/12.36 cnf(fact_mk__less__def-2, axiom, ( ~c_Partial__Function_Omk__less(_u2089, _u2091, _u2093, _u2095) | ~hBOOL(hAPP(hAPP(_u2091, _u2095), _u2093)) )).
% 12.21/12.36 cnf(fact_mk__less__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u2092, _u2094), _u2096)) | hBOOL(hAPP(hAPP(_u2092, _u2096), _u2094)) | c_Partial__Function_Omk__less(_u2090, _u2092, _u2094, _u2096) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_psubset__imp__ex__mem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_psubset__imp__ex__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2098, tc_HOL_Obool)), _u2099), _u2100)) | hBOOL(hAPP(hAPP(c_member(_u2098), skolem31(_u2100, _u2099, _u2098)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2098, tc_HOL_Obool)), _u2100), _u2099))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2107), _u2109), _u2111)) | ( hAPP(c_Fun_Ooverride__on(_u2107, _u2113, _u2115, _u2117, _u2111), _u2109) = hAPP(_u2117, _u2109)) )).
% 12.21/12.36 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2108), _u2110), _u2112)) | ( hAPP(c_Fun_Ooverride__on(_u2108, _u2114, _u2116, _u2118, _u2112), _u2110) = hAPP(_u2116, _u2110)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u2119, _u2120, _u2121, c_Orderings_Obot__class_Obot(tc_fun(_u2119, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u2122, _u2122, c_COMBI(_u2122), _u2123) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u2132, _u2134, _u2136, _u2138) | ~hBOOL(hAPP(hAPP(c_member(_u2132), _u2125), _u2138)) | ~hBOOL(hAPP(hAPP(c_member(_u2132), _u2124), _u2138)) | ( hAPP(_u2136, _u2125) != hAPP(_u2136, _u2124)) | ( _u2125 = _u2124) )).
% 12.21/12.36 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | hBOOL(hAPP(hAPP(c_member(_u2133), skolem32(_u2139, _u2137, _u2135, _u2133)), _u2139)) )).
% 12.21/12.36 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | hBOOL(hAPP(hAPP(c_member(_u2133), skolem33(_u2139, _u2137, _u2135, _u2133)), _u2139)) )).
% 12.21/12.36 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | ( hAPP(_u2137, skolem32(_u2139, _u2137, _u2135, _u2133)) = hAPP(_u2137, skolem33(_u2139, _u2137, _u2135, _u2133))) )).
% 12.21/12.36 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | ( skolem32(_u2139, _u2137, _u2135, _u2133) != skolem33(_u2139, _u2137, _u2135, _u2133)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2140, _u2141, _u2142, _u2143) | ( hAPP(_u2142, _u2144) != _u2145) | ~hBOOL(hAPP(hAPP(c_member(_u2140), _u2144), _u2143)) | ( hAPP(c_Fun_Othe__inv__into(_u2140, _u2141, _u2143, _u2142), _u2145) = _u2144) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2146, _u2147, _u2148, _u2149) | ~hBOOL(hAPP(hAPP(c_member(_u2146), _u2150), _u2149)) | ( hAPP(c_Fun_Othe__inv__into(_u2146, _u2147, _u2149, _u2148), hAPP(_u2148, _u2150)) = _u2150) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u2153) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2153), _u2154)) | hBOOL(hAPP(_u2154, skolem34(_u2154, _u2153))) )).
% 12.21/12.36 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u2153) | ~hBOOL(hAPP(_u2154, _u2152)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2153), _u2154)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u2157) | ~hBOOL(hAPP(_u2158, _u2155)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2157), _u2158)) )).
% 12.21/12.36 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u2157) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2157), _u2158)) | hBOOL(hAPP(_u2158, skolem35(_u2158, _u2157))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u2159, _u2160, _u2161, _u2162) | ( hAPP(c_Set_Oimage(_u2160, _u2159, c_Fun_Othe__inv__into(_u2159, _u2160, _u2162, _u2161)), hAPP(c_Set_Oimage(_u2159, _u2160, _u2161), _u2162)) = _u2162) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u2163, _u2164, _u2165, _u2166) | c_Fun_Oinj__on(_u2164, _u2163, c_Fun_Othe__inv__into(_u2163, _u2164, _u2166, _u2165), hAPP(c_Set_Oimage(_u2163, _u2164, _u2165), _u2166)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u2167, _u2168, _u2169, _u2170) | ( _u2171 = _u2172) | ~hBOOL(hAPP(hAPP(c_member(_u2167), _u2171), _u2170)) | ~hBOOL(hAPP(hAPP(c_member(_u2167), _u2172), _u2170)) | ( hAPP(_u2169, _u2171) != hAPP(_u2169, _u2172)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2173, _u2174, _u2175, _u2176) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2177), _u2176)) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2178), _u2176)) | ( hAPP(_u2175, _u2177) != hAPP(_u2175, _u2178)) | ( _u2177 = _u2178) )).
% 12.21/12.36 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2173, _u2174, _u2175, _u2176) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2177), _u2176)) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2178), _u2176)) | ( _u2177 != _u2178) | ( hAPP(_u2175, _u2177) = hAPP(_u2175, _u2178)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u2179, _u2180, _u2181, _u2182) | ( hAPP(_u2181, _u2183) != hAPP(_u2181, _u2184)) | ~hBOOL(hAPP(hAPP(c_member(_u2179), _u2183), _u2182)) | ~hBOOL(hAPP(hAPP(c_member(_u2179), _u2184), _u2182)) | ( _u2183 = _u2184) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u2185, _u2186, _u2187, _u2188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2185, tc_HOL_Obool)), _u2189), _u2188)) | c_Fun_Oinj__on(_u2185, _u2186, _u2187, _u2189) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u2190, _u2191, _u2192, _u2193) | ~c_Fun_Oinj__on(_u2190, _u2191, _u2192, _u2194) | c_Fun_Oinj__on(_u2190, _u2191, _u2192, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2190, tc_HOL_Obool)), _u2193), _u2194)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u2195, _u2196, _u2197, _u2198) | c_Fun_Oinj__on(_u2195, _u2196, _u2197, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2195, tc_HOL_Obool)), _u2198), _u2199)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u2200, _u2201, _u2202, _u2203) | ~hBOOL(hAPP(hAPP(c_member(_u2201), _u2204), hAPP(c_Set_Oimage(_u2200, _u2201, _u2202), _u2203))) | ( hAPP(_u2202, hAPP(c_Fun_Othe__inv__into(_u2200, _u2201, _u2203, _u2202), _u2204)) = _u2204) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_strict__mono__imp__inj__on ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_strict__mono__imp__inj__on-1, axiom, ( ~class_Orderings_Oorder(_u2205) | ~class_Orderings_Olinorder(_u2206) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2206, _u2205, _u2207) | c_Fun_Oinj__on(_u2206, _u2205, _u2207, _u2208) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u2209, _u2210, _u2211, _u2212) | ~hBOOL(hAPP(hAPP(c_member(_u2210), _u2213), hAPP(c_Set_Oimage(_u2209, _u2210, _u2211), _u2212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2209, tc_HOL_Obool)), _u2212), _u2214)) | hBOOL(hAPP(hAPP(c_member(_u2209), hAPP(c_Fun_Othe__inv__into(_u2209, _u2210, _u2212, _u2211), _u2213)), _u2214)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2215, _u2216, _u2217, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), _u2218), _u2219)) | ( hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2218) != hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2219)) | ( _u2218 = _u2219) )).
% 12.21/12.36 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2215, _u2216, _u2217, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), _u2218), _u2219)) | ( _u2218 != _u2219) | ( hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2218) = hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2219)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u2220, _u2221, _u2222, _u2223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2220, tc_HOL_Obool)), _u2224), _u2223)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2221, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2220, _u2221, _u2222), _u2224)), hAPP(c_Set_Oimage(_u2220, _u2221, _u2222), _u2223))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u2225, _u2226, _u2227, _u2228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2225, tc_HOL_Obool)), _u2229), _u2228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2225, tc_HOL_Obool)), _u2230), _u2228)) | ( hAPP(c_Set_Oimage(_u2225, _u2226, _u2227), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2225, tc_HOL_Obool)), _u2229), _u2230)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2226, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2225, _u2226, _u2227), _u2229)), hAPP(c_Set_Oimage(_u2225, _u2226, _u2227), _u2230))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u2231, _u2232, _u2233, _u2234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2231, tc_HOL_Obool)), _u2235), _u2234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2231, tc_HOL_Obool)), _u2236), _u2234)) | ( hAPP(c_Set_Oimage(_u2231, _u2232, _u2233), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2231, tc_HOL_Obool)), _u2235), _u2236)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2232, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2231, _u2232, _u2233), _u2235)), hAPP(c_Set_Oimage(_u2231, _u2232, _u2233), _u2236))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u2237, _u2238, _u2239, _u2240) | hBOOL(hAPP(hAPP(c_member(_u2238), _u2241), hAPP(c_Set_Oimage(_u2237, _u2238, _u2239), _u2240))) | c_Fun_Oinj__on(_u2237, _u2238, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2237, _u2238), _u2239), _u2242), _u2241), _u2240) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2243), _u2244), _u2245)) | ( hAPP(c_Fun_Ooverride__on(_u2243, _u2246, _u2247, _u2248, _u2245), _u2244) = hAPP(_u2247, _u2244)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2249), _u2250), _u2251)) | ( hAPP(c_Fun_Ooverride__on(_u2249, _u2252, _u2253, _u2254, _u2251), _u2250) = hAPP(_u2254, _u2250)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u2255, _u2256, _u2257, _u2258, c_Orderings_Obot__class_Obot(tc_fun(_u2255, tc_HOL_Obool))) = _u2257) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u2263 = c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2264, _u2265, _u2259, _u2263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2264, _u2265, _u2259), _u2263)), _u2266)) | ( hAPP(c_Set_Oimage(_u2265, _u2264, skolem36(_u2266, _u2265, _u2264, _u2263)), _u2266) = _u2263) )).
% 12.21/12.36 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u2263 = c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2265, _u2264, _u2261), _u2266) != _u2263) | c_Fun_Oinj__on(_u2264, _u2265, skolem37(_u2266, _u2265, _u2264, _u2263), _u2263) )).
% 12.21/12.36 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u2263 = c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2265, _u2264, _u2261), _u2266) != _u2263) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2264, _u2265, skolem37(_u2266, _u2265, _u2264, _u2263)), _u2263)), _u2266)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_dom__override__on ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_dom__override__on-1, axiom, ( ( c_Map_Odom(_u2267, _u2268, c_Fun_Ooverride__on(_u2267, tc_Option_Ooption(_u2268), _u2269, _u2270, _u2271)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2267, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2267, tc_HOL_Obool)), c_Map_Odom(_u2267, _u2268, _u2269)), hAPP(c_Set_OCollect(_u2267), hAPP(hAPP(c_COMBC(_u2267, tc_fun(_u2267, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2267)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2267, tc_HOL_Obool)), _u2271), c_Map_Odom(_u2267, _u2268, _u2270)))))), hAPP(c_Set_OCollect(_u2267), hAPP(hAPP(c_COMBC(_u2267, tc_fun(_u2267, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2267)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2267, tc_HOL_Obool)), _u2271), c_Map_Odom(_u2267, _u2268, _u2270)))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u2272, _u2273, _u2274, hAPP(c_Set_Oimage(_u2275, _u2272, _u2276), _u2277)) | ~c_Fun_Oinj__on(_u2275, _u2272, _u2276, _u2277) | ~hBOOL(hAPP(hAPP(c_member(_u2273), _u2278), hAPP(c_Set_Oimage(_u2272, _u2273, _u2274), hAPP(c_Set_Oimage(_u2275, _u2272, _u2276), _u2277)))) | ( hAPP(c_Fun_Othe__inv__into(_u2275, _u2273, _u2277, hAPP(c_Fun_Ocomp(_u2272, _u2273, _u2275, _u2274), _u2276)), _u2278) = hAPP(hAPP(c_Fun_Ocomp(_u2272, _u2275, _u2273, c_Fun_Othe__inv__into(_u2275, _u2272, _u2277, _u2276)), c_Fun_Othe__inv__into(_u2272, _u2273, hAPP(c_Set_Oimage(_u2275, _u2272, _u2276), _u2277), _u2274)), _u2278)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u2279, tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2279, tc_fun(tc_prod(_u2279, _u2279), tc_HOL_Obool), tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2279, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u2279, _u2279), tc_HOL_Obool), tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool)), _u2279), c_Equiv__Relations_Oquotient(_u2279)), hAPP(hAPP(c_COMBC(_u2279, tc_fun(_u2279, tc_HOL_Obool), tc_fun(_u2279, tc_HOL_Obool)), c_Set_Oinsert(_u2279)), c_Orderings_Obot__class_Obot(tc_fun(_u2279, tc_HOL_Obool))))), _u2280), _u2281) | ~hBOOL(hAPP(hAPP(c_member(_u2279), _u2282), _u2281)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2279), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2279, tc_HOL_Obool)), _u2281), hAPP(hAPP(c_Set_Oinsert(_u2279), _u2282), c_Orderings_Obot__class_Obot(tc_fun(_u2279, tc_HOL_Obool))))), _u2280) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2279), _u2281), _u2280)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2279), hAPP(hAPP(c_Set_Oinsert(_u2279), _u2282), c_Orderings_Obot__class_Obot(tc_fun(_u2279, tc_HOL_Obool)))), _u2280))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u2283, tc_fun(_u2283, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2283, tc_HOL_Obool), tc_fun(tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool)), _u2283), hAPP(c_COMBC(tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u2283, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u2283, tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool)), c_Set_Oinsert(_u2283)), c_Orderings_Obot__class_Obot(tc_fun(_u2283, tc_HOL_Obool))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2284) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2284), _u2285), _u2285) = _u2285) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2286) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2286), _u2287), _u2287) = _u2287) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__restrict__conv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__restrict__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2288), _u2289), _u2290)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2288, tc_Option_Ooption(_u2291)), c_Map_Orestrict__map(_u2288, _u2291, _u2292, _u2290)), _u2289), _u2293) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2288, tc_Option_Ooption(_u2291)), c_Map_Orestrict__map(_u2288, _u2291, _u2292, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2288, tc_HOL_Obool)), _u2290), hAPP(hAPP(c_Set_Oinsert(_u2288), _u2289), c_Orderings_Obot__class_Obot(tc_fun(_u2288, tc_HOL_Obool)))))), _u2289), _u2293)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_restrict__fun__upd ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_restrict__fun__upd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2300), _u2302), _u2304)) | ( c_Map_Orestrict__map(_u2300, _u2306, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2300, tc_Option_Ooption(_u2306)), _u2308), _u2302), _u2310), _u2304) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2300, tc_Option_Ooption(_u2306)), c_Map_Orestrict__map(_u2300, _u2306, _u2308, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2300, tc_HOL_Obool)), _u2304), hAPP(hAPP(c_Set_Oinsert(_u2300), _u2302), c_Orderings_Obot__class_Obot(tc_fun(_u2300, tc_HOL_Obool)))))), _u2302), _u2310)) )).
% 12.21/12.36 cnf(fact_restrict__fun__upd-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2301), _u2303), _u2305)) | ( c_Map_Orestrict__map(_u2301, _u2307, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2301, tc_Option_Ooption(_u2307)), _u2309), _u2303), _u2311), _u2305) = c_Map_Orestrict__map(_u2301, _u2307, _u2309, _u2305)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_subsetI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2315)) | hBOOL(hAPP(hAPP(c_member(_u2313), skolem38(_u2315, _u2314, _u2313)), _u2314)) )).
% 12.21/12.36 cnf(fact_subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2315)) | ~hBOOL(hAPP(hAPP(c_member(_u2313), skolem38(_u2315, _u2314, _u2313)), _u2315)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u2316, _u2317, _u2318, _u2319), hAPP(c_Fun_Ocomp(_u2320, _u2316, _u2318, _u2321), _u2322)) = hAPP(c_Fun_Ocomp(_u2320, _u2317, _u2318, hAPP(c_Fun_Ocomp(_u2316, _u2317, _u2320, _u2319), _u2321)), _u2322)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u2323, _u2324, _u2325, _u2326), _u2327), _u2328) = hAPP(_u2326, hAPP(_u2327, _u2328))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u2332, hAPP(_u2333, _u2337)) = hAPP(_u2335, hAPP(_u2336, _u2337))) | ( hAPP(c_Fun_Ocomp(_u2329, _u2330, _u2331, _u2332), _u2333) != hAPP(c_Fun_Ocomp(_u2334, _u2330, _u2331, _u2335), _u2336)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u2342, hAPP(_u2343, _u2338)) = hAPP(_u2345, hAPP(_u2346, _u2338))) | ( hAPP(c_Fun_Ocomp(_u2339, _u2340, _u2341, _u2342), _u2343) != hAPP(c_Fun_Ocomp(_u2344, _u2340, _u2341, _u2345), _u2346)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u2349, _u2350), hAPP(hAPP(_u2349, _u2350), _u2351)) = hAPP(hAPP(_u2349, _u2350), _u2351)) | ~c_Finite__Set_Ofun__left__comm__idem(_u2347, _u2348, _u2349) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u2353, _u2353, _u2353, hAPP(_u2354, _u2355)), hAPP(_u2354, _u2355)) = hAPP(_u2354, _u2355)) | ~c_Finite__Set_Ofun__left__comm__idem(_u2352, _u2353, _u2354) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u2356, _u2357, _u2358) | c_Finite__Set_Ofun__left__comm__idem(_u2359, _u2357, hAPP(hAPP(c_COMBB(_u2356, tc_fun(_u2357, _u2357), _u2359), _u2358), _u2360)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_o__def ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u2361, _u2362, _u2363, _u2364), _u2365), _u2366) = hAPP(_u2364, hAPP(_u2365, _u2366))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_dom__restrict ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_dom__restrict-1, axiom, ( ( c_Map_Odom(_u2367, _u2368, c_Map_Orestrict__map(_u2367, _u2368, _u2369, _u2370)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2367, tc_HOL_Obool)), c_Map_Odom(_u2367, _u2368, _u2369)), _u2370)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_restrict__in ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_restrict__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2371), _u2372), _u2373)) | ( hAPP(c_Map_Orestrict__map(_u2371, _u2374, _u2375, _u2373), _u2372) = hAPP(_u2375, _u2372)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_restrict__map__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_restrict__map__insert-1, axiom, ( ( c_Map_Orestrict__map(_u2376, _u2377, _u2378, hAPP(hAPP(c_Set_Oinsert(_u2376), _u2379), _u2380)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2376, tc_Option_Ooption(_u2377)), c_Map_Orestrict__map(_u2376, _u2377, _u2378, _u2380)), _u2379), hAPP(_u2378, _u2379))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_restrict__restrict ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_restrict__restrict-1, axiom, ( ( c_Map_Orestrict__map(_u2381, _u2382, c_Map_Orestrict__map(_u2381, _u2382, _u2383, _u2384), _u2385) = c_Map_Orestrict__map(_u2381, _u2382, _u2383, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2381, tc_HOL_Obool)), _u2384), _u2385))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u2386, tc_fun(_u2386, tc_HOL_Obool), c_Set_Oinsert(_u2386)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2387) | c_Finite__Set_Ofun__left__comm__idem(_u2387, _u2387, c_Lattices_Osemilattice__sup__class_Osup(_u2387)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2388) | c_Finite__Set_Ofun__left__comm__idem(_u2388, _u2388, c_Lattices_Osemilattice__inf__class_Oinf(_u2388)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u2389, _u2390, hAPP(c_Fun_Ocomp(_u2391, _u2390, _u2389, _u2392), _u2393)), _u2394) = hAPP(c_Set_Oimage(_u2391, _u2390, _u2392), hAPP(c_Set_Oimage(_u2389, _u2391, _u2393), _u2394))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u2395, _u2396, hAPP(c_Fun_Ocomp(_u2397, _u2396, _u2395, _u2398), _u2399), _u2400) | c_Fun_Oinj__on(_u2395, _u2397, _u2399, _u2400) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u2401, _u2402, _u2403, _u2404), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2403, _u2401), _u2405), _u2406), _u2407)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2403, _u2402), hAPP(c_Fun_Ocomp(_u2401, _u2402, _u2403, _u2404), _u2405)), _u2406), hAPP(_u2404, _u2407))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2408), c_Orderings_Obot__class_Obot(tc_fun(_u2408, tc_HOL_Obool))), _u2409) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2408, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2413, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2413), _u2415), _u2417)) | ( _u2415 = c_Orderings_Obot__class_Obot(tc_fun(_u2413, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u2416 != c_Orderings_Obot__class_Obot(tc_fun(_u2414, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2414, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2414), _u2416), _u2418)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2422), _u2424), _u2426) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2422, tc_HOL_Obool), tc_HOL_Obool))) | ( _u2424 = c_Orderings_Obot__class_Obot(tc_fun(_u2422, tc_HOL_Obool))) )).
% 12.21/12.36 cnf(fact_quotient__is__empty-2, axiom, ( ( _u2425 != c_Orderings_Obot__class_Obot(tc_fun(_u2423, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2423), _u2425), _u2427) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2423, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2428, _u2429, _u2430, _u2431) | ~c_Fun_Oinj__on(_u2429, _u2432, _u2433, hAPP(c_Set_Oimage(_u2428, _u2429, _u2430), _u2431)) | c_Fun_Oinj__on(_u2428, _u2432, hAPP(c_Fun_Ocomp(_u2429, _u2432, _u2428, _u2433), _u2430), _u2431) )).
% 12.21/12.36 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2428, _u2429, _u2430, _u2431) | ~c_Fun_Oinj__on(_u2428, _u2432, hAPP(c_Fun_Ocomp(_u2429, _u2432, _u2428, _u2433), _u2430), _u2431) | c_Fun_Oinj__on(_u2429, _u2432, _u2433, hAPP(c_Set_Oimage(_u2428, _u2429, _u2430), _u2431)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u2434, _u2435, _u2436, _u2437) | ~c_Fun_Oinj__on(_u2435, _u2438, _u2439, hAPP(c_Set_Oimage(_u2434, _u2435, _u2436), _u2437)) | c_Fun_Oinj__on(_u2434, _u2438, hAPP(c_Fun_Ocomp(_u2435, _u2438, _u2434, _u2439), _u2436), _u2437) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u2440, _u2441, hAPP(c_Fun_Ocomp(_u2442, _u2441, _u2440, _u2443), _u2444), _u2445) | c_Fun_Oinj__on(_u2442, _u2441, _u2443, hAPP(c_Set_Oimage(_u2440, _u2442, _u2444), _u2445)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__restrict ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__restrict-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2446, tc_Option_Ooption(_u2447)), c_Map_Orestrict__map(_u2446, _u2447, _u2448, _u2449)), _u2450), _u2451) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2446, tc_Option_Ooption(_u2447)), c_Map_Orestrict__map(_u2446, _u2447, _u2448, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2446, tc_HOL_Obool)), _u2449), hAPP(hAPP(c_Set_Oinsert(_u2446), _u2450), c_Orderings_Obot__class_Obot(tc_fun(_u2446, tc_HOL_Obool)))))), _u2450), _u2451)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_dom__if ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_dom__if-1, axiom, ( ( c_Map_Odom(_u2452, _u2453, hAPP(hAPP(c_COMBS(_u2452, tc_Option_Ooption(_u2453), tc_Option_Ooption(_u2453)), hAPP(hAPP(c_COMBS(_u2452, tc_Option_Ooption(_u2453), tc_fun(tc_Option_Ooption(_u2453), tc_Option_Ooption(_u2453))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u2453), tc_fun(tc_Option_Ooption(_u2453), tc_Option_Ooption(_u2453))), _u2452), c_If(tc_Option_Ooption(_u2453))), _u2454)), _u2455)), _u2456)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2452, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2452, tc_HOL_Obool)), c_Map_Odom(_u2452, _u2453, _u2455)), hAPP(c_Set_OCollect(_u2452), _u2454))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2452, tc_HOL_Obool)), c_Map_Odom(_u2452, _u2453, _u2456)), hAPP(c_Set_OCollect(_u2452), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2452), c_fNot), _u2454))))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fun__upd__None__restrict ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fun__upd__None__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2462), _u2464), _u2466)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2462, tc_Option_Ooption(_u2468)), c_Map_Orestrict__map(_u2462, _u2468, _u2470, _u2466)), _u2464), c_Option_Ooption_ONone(_u2468)) = c_Map_Orestrict__map(_u2462, _u2468, _u2470, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2462, tc_HOL_Obool)), _u2466), hAPP(hAPP(c_Set_Oinsert(_u2462), _u2464), c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool)))))) )).
% 12.21/12.36 cnf(fact_fun__upd__None__restrict-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2463), _u2465), _u2467)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2463, tc_Option_Ooption(_u2469)), c_Map_Orestrict__map(_u2463, _u2469, _u2471, _u2467)), _u2465), c_Option_Ooption_ONone(_u2469)) = c_Map_Orestrict__map(_u2463, _u2469, _u2471, _u2467)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2472), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2473), c_Orderings_Obot__class_Obot(tc_fun(_u2472, tc_HOL_Obool)))), _u2474) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2472, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2472, _u2472, _u2474), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2473), c_Orderings_Obot__class_Obot(tc_fun(_u2472, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2472, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2475), _u2476), _u2477)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2475, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2475, _u2475, _u2478), hAPP(hAPP(c_Set_Oinsert(_u2475), _u2476), c_Orderings_Obot__class_Obot(tc_fun(_u2475, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2475), _u2477), _u2478))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_dom__fun__upd ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_dom__fun__upd-1, axiom, ( ( _u2484 != c_Option_Ooption_ONone(_u2486)) | ( c_Map_Odom(_u2488, _u2486, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2488, tc_Option_Ooption(_u2486)), _u2490), _u2492), _u2484)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2488, tc_HOL_Obool)), c_Map_Odom(_u2488, _u2486, _u2490)), hAPP(hAPP(c_Set_Oinsert(_u2488), _u2492), c_Orderings_Obot__class_Obot(tc_fun(_u2488, tc_HOL_Obool))))) )).
% 12.21/12.36 cnf(fact_dom__fun__upd-2, axiom, ( ( _u2485 = c_Option_Ooption_ONone(_u2487)) | ( c_Map_Odom(_u2489, _u2487, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2489, tc_Option_Ooption(_u2487)), _u2491), _u2493), _u2485)) = hAPP(hAPP(c_Set_Oinsert(_u2489), _u2493), c_Map_Odom(_u2489, _u2487, _u2491))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2494, _u2495, _u2496) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2494, tc_HOL_Obool)), _u2497), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2494), _u2495), _u2496))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2494, tc_HOL_Obool)), _u2498), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2494), _u2495), _u2496))) | ( _u2497 = _u2498) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2494, tc_HOL_Obool)), _u2497), _u2498) = c_Orderings_Obot__class_Obot(tc_fun(_u2494, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u2499, _u2500, _u2501, hAPP(c_COMBK(_u2500, _u2499), _u2502)), _u2503), _u2504) = _u2502) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2505, _u2506, _u2507, _u2508, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2505, tc_HOL_Obool)), _u2509), hAPP(hAPP(c_Set_Oinsert(_u2505), _u2510), c_Orderings_Obot__class_Obot(tc_fun(_u2505, tc_HOL_Obool))))), _u2511)) | ~hBOOL(hAPP(hAPP(c_member(_u2505), _u2510), _u2509)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2505, _u2506, _u2507, _u2508, _u2509), hAPP(hAPP(_u2507, _u2510), _u2511))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u2512, _u2513, _u2514, hAPP(c_Set_Oimage(_u2515, _u2512, _u2516), _u2517)) | ~c_Fun_Oinj__on(_u2515, _u2512, _u2516, _u2517) | ~hBOOL(hAPP(hAPP(c_member(_u2513), _u2518), hAPP(c_Set_Oimage(_u2512, _u2513, _u2514), hAPP(c_Set_Oimage(_u2515, _u2512, _u2516), _u2517)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2515, _u2513, _u2517, hAPP(c_Fun_Ocomp(_u2512, _u2513, _u2515, _u2514), _u2516)), _u2518) = hAPP(hAPP(c_Fun_Ocomp(_u2512, _u2515, _u2513, c_Hilbert__Choice_Oinv__into(_u2515, _u2512, _u2517, _u2516)), c_Hilbert__Choice_Oinv__into(_u2512, _u2513, hAPP(c_Set_Oimage(_u2515, _u2512, _u2516), _u2517), _u2514)), _u2518)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u2519, tc_fun(_u2519, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2519, tc_fun(_u2519, tc_HOL_Obool), tc_fun(_u2519, tc_HOL_Obool)), c_Set_Oinsert(_u2519)), c_Orderings_Obot__class_Obot(tc_fun(_u2519, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u2519, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fold1Set__sing-1, axiom, ( ( _u2528 = _u2530) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2524, _u2526, hAPP(hAPP(c_Set_Oinsert(_u2524), _u2528), c_Orderings_Obot__class_Obot(tc_fun(_u2524, tc_HOL_Obool)))), _u2530)) )).
% 12.21/12.36 cnf(fact_fold1Set__sing-2, axiom, ( ( _u2529 != _u2531) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2525, _u2527, hAPP(hAPP(c_Set_Oinsert(_u2525), _u2529), c_Orderings_Obot__class_Obot(tc_fun(_u2525, tc_HOL_Obool)))), _u2531)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_top1I ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2532, tc_HOL_Obool)), _u2533)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2534), _u2535), c_Orderings_Otop__class_Otop(tc_fun(_u2534, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2536, _u2536, _u2537, _u2538, _u2539), _u2540)) | hBOOL(hAPP(hAPP(c_member(_u2536), _u2538), _u2539)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2536, _u2537, hAPP(hAPP(c_Set_Oinsert(_u2536), _u2538), _u2539)), _u2540)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u2546, _u2548, _u2550), c_Orderings_Otop__class_Otop(tc_fun(_u2546, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2548, tc_HOL_Obool))) | ( hAPP(_u2550, hAPP(c_Hilbert__Choice_Oinv__into(_u2546, _u2548, c_Orderings_Otop__class_Otop(tc_fun(_u2546, tc_HOL_Obool)), _u2550), _u2541)) = _u2541) )).
% 12.21/12.36 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u2551, hAPP(c_Hilbert__Choice_Oinv__into(_u2547, _u2549, c_Orderings_Otop__class_Otop(tc_fun(_u2547, tc_HOL_Obool)), _u2551), skolem39(_u2551, _u2549, _u2547))) != skolem39(_u2551, _u2549, _u2547)) | ( hAPP(c_Set_Oimage(_u2547, _u2549, _u2551), c_Orderings_Otop__class_Otop(tc_fun(_u2547, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2549, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u2552, _u2553, _u2554), c_Orderings_Otop__class_Otop(tc_fun(_u2552, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2553, tc_HOL_Obool))) | ( hAPP(_u2554, hAPP(c_Hilbert__Choice_Oinv__into(_u2552, _u2553, c_Orderings_Otop__class_Otop(tc_fun(_u2552, tc_HOL_Obool)), _u2554), _u2555)) = _u2555) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u2556, _u2557, _u2558), c_Orderings_Otop__class_Otop(tc_fun(_u2556, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2557, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2556, _u2557, _u2558), hAPP(c_Set_Oimage(_u2557, _u2556, c_Hilbert__Choice_Oinv__into(_u2556, _u2557, c_Orderings_Otop__class_Otop(tc_fun(_u2556, tc_HOL_Obool)), _u2558)), _u2559)) = _u2559) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u2560) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2561, _u2560)), _u2562) = c_Orderings_Otop__class_Otop(_u2560)) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2563, _u2564, _u2565, c_Orderings_Otop__class_Otop(tc_fun(_u2563, tc_HOL_Obool))) | ( hAPP(_u2565, _u2566) != _u2567) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2563, _u2564, c_Orderings_Otop__class_Otop(tc_fun(_u2563, tc_HOL_Obool)), _u2565), _u2567) = _u2566) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2568, _u2569, _u2570, c_Orderings_Otop__class_Otop(tc_fun(_u2568, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2568, _u2569, c_Orderings_Otop__class_Otop(tc_fun(_u2568, tc_HOL_Obool)), _u2570), hAPP(_u2570, _u2571)) = _u2571) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2572), _u2573), c_Orderings_Otop__class_Otop(tc_fun(_u2572, tc_HOL_Obool)))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u2574), c_Orderings_Otop__class_Otop(tc_fun(_u2574, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2574, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u2575, _u2576, _u2577), c_Orderings_Otop__class_Otop(tc_fun(_u2575, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2576, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2576, _u2575, c_Hilbert__Choice_Oinv__into(_u2575, _u2576, c_Orderings_Otop__class_Otop(tc_fun(_u2575, tc_HOL_Obool)), _u2577), c_Orderings_Otop__class_Otop(tc_fun(_u2576, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u2578, _u2579, _u2580, c_Orderings_Otop__class_Otop(tc_fun(_u2578, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2579, _u2578, c_Hilbert__Choice_Oinv__into(_u2578, _u2579, c_Orderings_Otop__class_Otop(tc_fun(_u2578, tc_HOL_Obool)), _u2580)), hAPP(c_Set_Oimage(_u2578, _u2579, _u2580), _u2581)) = _u2581) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2582, _u2583, _u2584, c_Orderings_Otop__class_Otop(tc_fun(_u2582, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2583, _u2582, c_Hilbert__Choice_Oinv__into(_u2582, _u2583, c_Orderings_Otop__class_Otop(tc_fun(_u2582, tc_HOL_Obool)), _u2584)), hAPP(c_Set_Oimage(_u2582, _u2583, _u2584), _u2585)) = _u2585) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u2586, _u2587, _u2588, c_Orderings_Otop__class_Otop(tc_fun(_u2586, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2587, _u2586, c_Hilbert__Choice_Oinv__into(_u2586, _u2587, c_Orderings_Otop__class_Otop(tc_fun(_u2586, tc_HOL_Obool)), _u2588)), c_Orderings_Otop__class_Otop(tc_fun(_u2587, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2586, tc_HOL_Obool))) )).
% 12.21/12.36
% 12.21/12.36 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 12.21/12.36 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u2589, _u2590, _u2591, c_Orderings_Otop__class_Otop(tc_fun(_u2589, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u2590, _u2592, _u2589, hAPP(c_Fun_Ocomp(_u2589, _u2592, _u2590, _u2593), c_Hilbert__Choice_Oinv__into(_u2589, _u2590, c_Orderings_Otop__class_Otop(tc_fun(_u2589, tc_HOL_Obool)), _u2591))), _u2591) = _u2593) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u2594, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u2594, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2595, tc_HOL_Obool)), _u2596), c_Orderings_Otop__class_Otop(tc_fun(_u2595, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2597, tc_HOL_Obool)), _u2598), c_Orderings_Otop__class_Otop(tc_fun(_u2597, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2597, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2599, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2599, tc_HOL_Obool))), _u2600) = c_Orderings_Otop__class_Otop(tc_fun(_u2599, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2601, tc_HOL_Obool)), _u2602), c_Orderings_Otop__class_Otop(tc_fun(_u2601, tc_HOL_Obool))) = _u2602) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2603, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2603, tc_HOL_Obool))), _u2604) = _u2604) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_injD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_injD-1, axiom, ( ( hAPP(_u2607, _u2608) != hAPP(_u2607, _u2609)) | ( _u2608 = _u2609) | ~c_Fun_Oinj__on(_u2605, _u2606, _u2607, c_Orderings_Otop__class_Otop(tc_fun(_u2605, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2610, _u2611, _u2612, c_Orderings_Otop__class_Otop(tc_fun(_u2610, tc_HOL_Obool))) | ( hAPP(_u2612, _u2613) != hAPP(_u2612, _u2614)) | ( _u2613 = _u2614) )).
% 12.21/12.37 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u2610, _u2611, _u2612, c_Orderings_Otop__class_Otop(tc_fun(_u2610, tc_HOL_Obool))) | ( _u2613 != _u2614) | ( hAPP(_u2612, _u2613) = hAPP(_u2612, _u2614)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u2619 = _u2618) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2615, _u2616, _u2617, _u2618, c_Orderings_Obot__class_Obot(tc_fun(_u2615, tc_HOL_Obool))), _u2619)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2620, _u2621, _u2622, _u2623, c_Orderings_Obot__class_Obot(tc_fun(_u2620, tc_HOL_Obool))), _u2623)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2624, _u2625, _u2626, _u2627, c_Orderings_Obot__class_Obot(tc_fun(_u2624, tc_HOL_Obool))), _u2627)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u2628, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u2628), hAPP(c_COMBK(tc_HOL_Obool, _u2628), c_fTrue))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u2629, _u2630, hAPP(hAPP(c_COMBB(_u2631, _u2630, _u2629), _u2632), _u2633)), c_Orderings_Otop__class_Otop(tc_fun(_u2629, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u2631, _u2630, _u2632), hAPP(c_Set_Oimage(_u2629, _u2631, _u2633), c_Orderings_Otop__class_Otop(tc_fun(_u2629, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u2634, _u2635, _u2636) | ~hBOOL(hAPP(hAPP(c_member(_u2634), _u2637), _u2635)) | hBOOL(hAPP(hAPP(c_member(_u2634), _u2637), hAPP(c_Relation_OImage(_u2634, _u2634, _u2636), hAPP(hAPP(c_Set_Oinsert(_u2634), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2634, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_empty__upd__none ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_empty__upd__none-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2638, tc_Option_Ooption(_u2639)), hAPP(c_COMBK(tc_Option_Ooption(_u2639), _u2638), c_Option_Ooption_ONone(_u2639))), _u2640), c_Option_Ooption_ONone(_u2639)), _u2641) = c_Option_Ooption_ONone(_u2639)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u2642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), _u2643), c_Orderings_Otop__class_Otop(_u2642))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_restrict__map__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_restrict__map__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u2644, _u2645, hAPP(c_COMBK(tc_Option_Ooption(_u2645), _u2644), c_Option_Ooption_ONone(_u2645)), _u2646), _u2647) = c_Option_Ooption_ONone(_u2645)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2648) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2648), c_Orderings_Otop__class_Otop(_u2648)), _u2649) = c_Orderings_Otop__class_Otop(_u2648)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2650) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2650), _u2651), c_Orderings_Otop__class_Otop(_u2650)) = c_Orderings_Otop__class_Otop(_u2650)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2652) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2652), _u2653), _u2654) != c_Orderings_Otop__class_Otop(_u2652)) | ( _u2653 = c_Orderings_Otop__class_Otop(_u2652)) )).
% 12.21/12.37 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2652) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2652), _u2653), _u2654) != c_Orderings_Otop__class_Otop(_u2652)) | ( _u2654 = c_Orderings_Otop__class_Otop(_u2652)) )).
% 12.21/12.37 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2652) | ( _u2653 != c_Orderings_Otop__class_Otop(_u2652)) | ( _u2654 != c_Orderings_Otop__class_Otop(_u2652)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2652), _u2653), _u2654) = c_Orderings_Otop__class_Otop(_u2652)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2655) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2655), _u2656), c_Orderings_Otop__class_Otop(_u2655)) = _u2656) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u2657) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2657), c_Orderings_Otop__class_Otop(_u2657)), _u2658) = _u2658) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2659, _u2660, _u2661), _u2662)) | ( _u2661 != c_Orderings_Obot__class_Obot(tc_fun(_u2659, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2663, _u2664, c_Orderings_Obot__class_Obot(tc_fun(_u2663, tc_HOL_Obool))), _u2665)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_domIff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_domIff-1, axiom, ( ( hAPP(_u2676, _u2672) != c_Option_Ooption_ONone(_u2674)) | ~hBOOL(hAPP(hAPP(c_member(_u2670), _u2672), c_Map_Odom(_u2670, _u2674, _u2676))) )).
% 12.21/12.37 cnf(fact_domIff-2, axiom, ( ( hAPP(_u2677, _u2673) = c_Option_Ooption_ONone(_u2675)) | hBOOL(hAPP(hAPP(c_member(_u2671), _u2673), c_Map_Odom(_u2671, _u2675, _u2677))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_range__eqI-1, axiom, ( ( _u2678 != hAPP(_u2679, _u2680)) | hBOOL(hAPP(hAPP(c_member(_u2681), _u2678), hAPP(c_Set_Oimage(_u2682, _u2681, _u2679), c_Orderings_Otop__class_Otop(tc_fun(_u2682, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2683), hAPP(_u2684, _u2685)), hAPP(c_Set_Oimage(_u2686, _u2683, _u2684), c_Orderings_Otop__class_Otop(tc_fun(_u2686, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_restrict__out ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_restrict__out-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2687), _u2688), _u2689)) | ( hAPP(c_Map_Orestrict__map(_u2687, _u2690, _u2691, _u2689), _u2688) = c_Option_Ooption_ONone(_u2690)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2692, tc_HOL_Obool)), _u2693), c_Orderings_Otop__class_Otop(tc_fun(_u2692, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2692, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u2694, _u2695, _u2696), c_Orderings_Otop__class_Otop(tc_fun(_u2694, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2695, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2695, _u2697, _u2698), c_Orderings_Otop__class_Otop(tc_fun(_u2695, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2697, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2694, _u2697, hAPP(c_Fun_Ocomp(_u2695, _u2697, _u2694, _u2698), _u2696)), c_Orderings_Otop__class_Otop(tc_fun(_u2694, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2697, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2699), _u2700), hAPP(c_Set_Oimage(_u2701, _u2699, _u2702), _u2703))) | ( hAPP(_u2702, hAPP(c_Hilbert__Choice_Oinv__into(_u2701, _u2699, _u2703, _u2702), _u2700)) = _u2700) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2704), _u2705), hAPP(c_Set_Oimage(_u2706, _u2704, _u2707), _u2708))) | hBOOL(hAPP(hAPP(c_member(_u2706), hAPP(c_Hilbert__Choice_Oinv__into(_u2706, _u2704, _u2708, _u2707), _u2705)), _u2708)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u2709, _u2710, _u2711, _u2712), _u2713) != hAPP(c_Hilbert__Choice_Oinv__into(_u2709, _u2710, _u2711, _u2712), _u2714)) | ~hBOOL(hAPP(hAPP(c_member(_u2710), _u2713), hAPP(c_Set_Oimage(_u2709, _u2710, _u2712), _u2711))) | ~hBOOL(hAPP(hAPP(c_member(_u2710), _u2714), hAPP(c_Set_Oimage(_u2709, _u2710, _u2712), _u2711))) | ( _u2713 = _u2714) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2715, _u2716, _u2717, c_Orderings_Otop__class_Otop(tc_fun(_u2715, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2718) != hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2719)) | ( _u2718 = _u2719) )).
% 12.21/12.37 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2715, _u2716, _u2717, c_Orderings_Otop__class_Otop(tc_fun(_u2715, tc_HOL_Obool))) | ( _u2718 != _u2719) | ( hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2718) = hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2719)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u2720, _u2721, _u2722, c_Orderings_Otop__class_Otop(tc_fun(_u2720, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2723, _u2720, _u2724, c_Orderings_Otop__class_Otop(tc_fun(_u2723, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2723, _u2721, hAPP(c_Fun_Ocomp(_u2720, _u2721, _u2723, _u2722), _u2724), c_Orderings_Otop__class_Otop(tc_fun(_u2723, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2725, _u2726, _u2727, _u2728) | ~hBOOL(hAPP(hAPP(c_member(_u2725), _u2729), _u2728)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2725, _u2726, _u2728, _u2727), hAPP(_u2727, _u2729)) = _u2729) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2730, _u2731, _u2732, _u2733) | ~hBOOL(hAPP(hAPP(c_member(_u2730), _u2734), _u2733)) | ( hAPP(_u2732, _u2734) != _u2735) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2730, _u2731, _u2733, _u2732), _u2735) = _u2734) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u2736, _u2737, _u2738), _u2739) != _u2740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2737, tc_HOL_Obool)), _u2741), _u2740)) | ( hAPP(c_Set_Oimage(_u2736, _u2737, _u2738), hAPP(c_Set_Oimage(_u2737, _u2736, c_Hilbert__Choice_Oinv__into(_u2736, _u2737, _u2739, _u2738)), _u2741)) = _u2741) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2742), _u2743), _u2744)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2742, _u2745, _u2746, _u2747, _u2744), _u2748)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2742, _u2745, _u2746, _u2747, hAPP(hAPP(c_Set_Oinsert(_u2742), _u2743), _u2744)), hAPP(hAPP(_u2746, _u2743), _u2748))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_dom__eq__empty__conv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_dom__eq__empty__conv-1, axiom, ( ( c_Map_Odom(_u2752, _u2754, _u2756) != c_Orderings_Obot__class_Obot(tc_fun(_u2752, tc_HOL_Obool))) | ( _u2756 = hAPP(c_COMBK(tc_Option_Ooption(_u2754), _u2752), c_Option_Ooption_ONone(_u2754))) )).
% 12.21/12.37 cnf(fact_dom__eq__empty__conv-2, axiom, ( ( _u2757 != hAPP(c_COMBK(tc_Option_Ooption(_u2755), _u2753), c_Option_Ooption_ONone(_u2755))) | ( c_Map_Odom(_u2753, _u2755, _u2757) = c_Orderings_Obot__class_Obot(tc_fun(_u2753, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_dom__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_dom__empty-1, axiom, ( ( c_Map_Odom(_u2758, _u2759, hAPP(c_COMBK(tc_Option_Ooption(_u2759), _u2758), c_Option_Ooption_ONone(_u2759))) = c_Orderings_Obot__class_Obot(tc_fun(_u2758, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_dom__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_dom__def-1, axiom, ( ( c_Map_Odom(_u2760, _u2761, _u2762) = hAPP(c_Set_OCollect(_u2760), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2760), c_fNot), hAPP(hAPP(c_COMBC(_u2760, tc_Option_Ooption(_u2761), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u2761), tc_fun(tc_Option_Ooption(_u2761), tc_HOL_Obool), _u2760), c_fequal), _u2762)), c_Option_Ooption_ONone(_u2761))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_restrict__map__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_restrict__map__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2768), _u2770), _u2772)) | ( hAPP(c_Map_Orestrict__map(_u2768, _u2774, _u2776, _u2772), _u2770) = hAPP(_u2776, _u2770)) )).
% 12.21/12.37 cnf(fact_restrict__map__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2769), _u2771), _u2773)) | ( hAPP(c_Map_Orestrict__map(_u2769, _u2775, _u2777, _u2773), _u2771) = c_Option_Ooption_ONone(_u2775)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2778, _u2779, _u2780, c_Orderings_Otop__class_Otop(tc_fun(_u2778, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u2778, _u2779, c_Orderings_Otop__class_Otop(tc_fun(_u2778, tc_HOL_Obool)), _u2780), hAPP(_u2780, _u2781)) = _u2781) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_restrict__map__to__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_restrict__map__to__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u2782, _u2783, _u2784, c_Orderings_Obot__class_Obot(tc_fun(_u2782, tc_HOL_Obool))), _u2785) = c_Option_Ooption_ONone(_u2783)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u2786, _u2787, _u2788, c_Orderings_Otop__class_Otop(tc_fun(_u2786, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2786, tc_fun(_u2789, _u2787), hAPP(hAPP(c_COMBB(_u2787, tc_fun(_u2789, _u2787), _u2786), c_COMBK(_u2787, _u2789)), _u2788), c_Orderings_Otop__class_Otop(tc_fun(_u2786, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_dom__minus ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_dom__minus-1, axiom, ( ( hAPP(_u2790, _u2791) != c_Option_Ooption_ONone(_u2792)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2793, tc_HOL_Obool)), c_Map_Odom(_u2793, _u2792, _u2790)), hAPP(hAPP(c_Set_Oinsert(_u2793), _u2791), _u2794)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2793, tc_HOL_Obool)), c_Map_Odom(_u2793, _u2792, _u2790)), _u2794)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 = hAPP(_u2801, skolem40(_u2802, _u2801, _u2800, _u2799))) )).
% 12.21/12.37 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 != hAPP(_u2801, _u2795)) | ( _u2795 = skolem40(_u2802, _u2801, _u2800, _u2799)) )).
% 12.21/12.37 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 != hAPP(_u2801, _u2798)) | ( _u2802 = hAPP(_u2801, skolem41(_u2802, _u2801, _u2800, _u2799, _u2798))) )).
% 12.21/12.37 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 != hAPP(_u2801, _u2798)) | ( skolem41(_u2802, _u2801, _u2800, _u2799, _u2798) != _u2798) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2803, _u2804, _u2805, c_Orderings_Otop__class_Otop(tc_fun(_u2803, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2804), hAPP(_u2805, _u2806)), hAPP(c_Set_Oimage(_u2803, _u2804, _u2805), _u2807))) | hBOOL(hAPP(hAPP(c_member(_u2803), _u2806), _u2807)) )).
% 12.21/12.37 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2803, _u2804, _u2805, c_Orderings_Otop__class_Otop(tc_fun(_u2803, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2803), _u2806), _u2807)) | hBOOL(hAPP(hAPP(c_member(_u2804), hAPP(_u2805, _u2806)), hAPP(c_Set_Oimage(_u2803, _u2804, _u2805), _u2807))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2808, _u2809, _u2810, c_Orderings_Otop__class_Otop(tc_fun(_u2808, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2809, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2811)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2812))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2808, tc_HOL_Obool)), _u2811), _u2812)) )).
% 12.21/12.37 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2808, _u2809, _u2810, c_Orderings_Otop__class_Otop(tc_fun(_u2808, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2808, tc_HOL_Obool)), _u2811), _u2812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2809, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2811)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2812))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u2813, _u2814, _u2815, c_Orderings_Otop__class_Otop(tc_fun(_u2813, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2813, _u2814, _u2815), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2813, tc_HOL_Obool)), _u2816), _u2817)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2814, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2813, _u2814, _u2815), _u2816)), hAPP(c_Set_Oimage(_u2813, _u2814, _u2815), _u2817))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u2818, _u2819, _u2820, c_Orderings_Otop__class_Otop(tc_fun(_u2818, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2818, _u2819, _u2820), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2818, tc_HOL_Obool)), _u2821), _u2822)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2819, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2818, _u2819, _u2820), _u2821)), hAPP(c_Set_Oimage(_u2818, _u2819, _u2820), _u2822))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u2823, _u2824, _u2825, _u2826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2823, tc_HOL_Obool)), _u2827), _u2826)) | ( hAPP(c_Set_Oimage(_u2824, _u2823, c_Hilbert__Choice_Oinv__into(_u2823, _u2824, _u2826, _u2825)), hAPP(c_Set_Oimage(_u2823, _u2824, _u2825), _u2827)) = _u2827) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2828, tc_HOL_Obool)), _u2829), hAPP(c_Set_Oimage(_u2830, _u2828, _u2831), _u2832))) | c_Fun_Oinj__on(_u2828, _u2830, c_Hilbert__Choice_Oinv__into(_u2830, _u2828, _u2832, _u2831), _u2829) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u2836, hAPP(_u2837, _u2839)) = hAPP(_u2838, _u2839)) | ( hAPP(c_Fun_Ocomp(_u2833, _u2834, _u2835, _u2836), _u2837) != _u2838) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2840, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2841, _u2840, _u2842), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2841, tc_HOL_Obool)), _u2843), _u2844))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2840, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2841, _u2840, _u2842), _u2843)), hAPP(c_Relation_OImage(_u2841, _u2840, _u2842), _u2844)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2846, tc_HOL_Obool)), _u2847), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2846), _u2848), _u2849))) | ( _u2847 = hAPP(c_Relation_OImage(_u2846, _u2846, _u2849), hAPP(hAPP(c_Set_Oinsert(_u2846), skolem42(_u2849, _u2848, _u2847, _u2846)), c_Orderings_Obot__class_Obot(tc_fun(_u2846, tc_HOL_Obool))))) )).
% 12.21/12.37 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2846, tc_HOL_Obool)), _u2847), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2846), _u2848), _u2849))) | hBOOL(hAPP(hAPP(c_member(_u2846), skolem42(_u2849, _u2848, _u2847, _u2846)), _u2848)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u2850, _u2851, _u2852), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2850, tc_HOL_Obool)), _u2853), _u2854)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2851, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2850, _u2851, _u2852), _u2853)), hAPP(c_Relation_OImage(_u2850, _u2851, _u2852), _u2854))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u2855, _u2856, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2855, _u2856), tc_HOL_Obool)), _u2857), _u2858)), _u2859) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2856, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2855, _u2856, _u2857), _u2859)), hAPP(c_Relation_OImage(_u2855, _u2856, _u2858), _u2859))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2860, _u2861), tc_HOL_Obool)), _u2862), _u2863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2860, tc_HOL_Obool)), _u2864), _u2865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2861, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2860, _u2861, _u2862), _u2864)), hAPP(c_Relation_OImage(_u2860, _u2861, _u2863), _u2865))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u2866, _u2867, _u2868), c_Orderings_Obot__class_Obot(tc_fun(_u2866, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2867, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2869), _u2870), _u2871) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2869, tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool)), _u2870), hAPP(hAPP(c_COMBC(_u2869, tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2869, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool)), _u2869), c_Set_Oinsert(tc_fun(_u2869, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u2869, tc_HOL_Obool), tc_fun(_u2869, tc_HOL_Obool), _u2869), c_Relation_OImage(_u2869, _u2869, _u2871)), hAPP(hAPP(c_COMBC(_u2869, tc_fun(_u2869, tc_HOL_Obool), tc_fun(_u2869, tc_HOL_Obool)), c_Set_Oinsert(_u2869)), c_Orderings_Obot__class_Obot(tc_fun(_u2869, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u2872, _u2873, _u2874, c_Orderings_Otop__class_Otop(tc_fun(_u2872, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2872, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2872, _u2873, _u2874), hAPP(hAPP(c_Set_Oinsert(_u2873), _u2875), c_Orderings_Obot__class_Obot(tc_fun(_u2873, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u2872), c_HOL_OThe(_u2872, hAPP(hAPP(c_COMBC(_u2872, _u2873, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2873, tc_fun(_u2873, tc_HOL_Obool), _u2872), c_fequal), _u2874)), _u2875))), c_Orderings_Obot__class_Obot(tc_fun(_u2872, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u2877, _u2878, _u2879, c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool))) | hBOOL(hAPP(_u2880, _u2881)) | hBOOL(hAPP(hAPP(c_member(_u2878), skolem43(_u2881, _u2880, _u2879, _u2878, _u2877)), hAPP(c_Set_Oimage(_u2877, _u2878, _u2879), c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool))))) )).
% 12.21/12.37 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u2877, _u2878, _u2879, c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool))) | hBOOL(hAPP(_u2880, _u2881)) | ~hBOOL(hAPP(_u2880, hAPP(c_Hilbert__Choice_Oinv__into(_u2877, _u2878, c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool)), _u2879), skolem43(_u2881, _u2880, _u2879, _u2878, _u2877)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u2882, _u2883) != _u2884) | ~hBOOL(hAPP(hAPP(c_member(_u2885), _u2884), _u2886)) | hBOOL(hAPP(hAPP(c_member(_u2887), _u2883), hAPP(c_Set_Ovimage(_u2887, _u2885, _u2882), _u2886))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2888), _u2889), _u2890)) | ~hBOOL(hAPP(hAPP(_u2891, _u2889), _u2892)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2888, tc_fun(_u2893, tc_HOL_Obool)), _u2890), _u2891), _u2892)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u2905, hAPP(_u2903, _u2907))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u2899, _u2901, _u2903), _u2905), _u2907)) )).
% 12.21/12.37 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u2906, hAPP(_u2904, _u2908))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u2900, _u2902, _u2904), _u2906), _u2908)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2916, tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2922), _u2924)) | hBOOL(hAPP(hAPP(c_member(_u2916), skolem44(_u2924, _u2922, _u2920, _u2918, _u2916)), _u2920)) )).
% 12.21/12.37 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2916, tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2922), _u2924)) | hBOOL(hAPP(hAPP(_u2922, skolem44(_u2924, _u2922, _u2920, _u2918, _u2916)), _u2924)) )).
% 12.21/12.37 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2917), _u2910), _u2921)) | ~hBOOL(hAPP(hAPP(_u2923, _u2910), _u2925)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2917, tc_fun(_u2919, tc_HOL_Obool)), _u2921), _u2923), _u2925)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2926, _u2926, c_COMBI(_u2926)), _u2927) = _u2927) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u2928, _u2929, _u2930), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2931, tc_fun(_u2928, tc_HOL_Obool)), _u2932), _u2933)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2931, tc_fun(_u2929, tc_HOL_Obool)), _u2932), hAPP(hAPP(c_COMBB(tc_fun(_u2928, tc_HOL_Obool), tc_fun(_u2929, tc_HOL_Obool), _u2931), c_Relation_OImage(_u2928, _u2929, _u2930)), _u2933))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2934, tc_fun(_u2935, tc_HOL_Obool)), _u2936), hAPP(c_Fun_Ocomp(_u2937, tc_fun(_u2935, tc_HOL_Obool), _u2934, _u2938), _u2939)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2937, tc_fun(_u2935, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2934, _u2937, _u2939), _u2936)), _u2938)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2949), hAPP(_u2951, _u2947)), _u2953)) | ~hBOOL(hAPP(hAPP(c_member(_u2945), _u2947), hAPP(c_Set_Ovimage(_u2945, _u2949, _u2951), _u2953))) )).
% 12.21/12.37 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2950), hAPP(_u2952, _u2948)), _u2954)) | hBOOL(hAPP(hAPP(c_member(_u2946), _u2948), hAPP(c_Set_Ovimage(_u2946, _u2950, _u2952), _u2954))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2957), hAPP(_u2958, _u2956)), _u2959)) | ~hBOOL(hAPP(hAPP(c_member(_u2955), _u2956), hAPP(c_Set_Ovimage(_u2955, _u2957, _u2958), _u2959))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2960), hAPP(_u2961, _u2962)), _u2963)) | hBOOL(hAPP(hAPP(c_member(_u2964), _u2962), hAPP(c_Set_Ovimage(_u2964, _u2960, _u2961), _u2963))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2965, _u2966, _u2967), c_Orderings_Obot__class_Obot(tc_fun(_u2966, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2965, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2971, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2971, _u2968, _u2972), _u2969)), hAPP(c_Set_Ovimage(_u2971, _u2968, _u2972), _u2970))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2973, _u2974, _u2975), c_Orderings_Otop__class_Otop(tc_fun(_u2974, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2973, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2976, _u2977, _u2978), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2977, tc_HOL_Obool)), _u2979), _u2980)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2976, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2976, _u2977, _u2978), _u2979)), hAPP(c_Set_Ovimage(_u2976, _u2977, _u2978), _u2980))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2981, _u2982, _u2983), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2982, tc_HOL_Obool)), _u2984), _u2985)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2981, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2981, _u2982, _u2983), _u2984)), hAPP(c_Set_Ovimage(_u2981, _u2982, _u2983), _u2985))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2986, _u2987, hAPP(c_Fun_Ocomp(_u2988, _u2987, _u2986, _u2989), _u2990)), _u2991) = hAPP(c_Set_Ovimage(_u2986, _u2988, _u2990), hAPP(c_Set_Ovimage(_u2988, _u2987, _u2989), _u2991))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2992, _u2993, _u2994), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2993, tc_HOL_Obool)), _u2995), _u2996)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2992, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2992, _u2993, _u2994), _u2995)), hAPP(c_Set_Ovimage(_u2992, _u2993, _u2994), _u2996))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u2997, _u2998, _u2999), hAPP(c_Set_OCollect(_u2998), _u3000)) = hAPP(c_Set_OCollect(_u2997), hAPP(hAPP(c_COMBB(_u2998, tc_HOL_Obool, _u2997), _u3000), _u2999))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3001, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3002, _u3001, _u3003), hAPP(c_Set_Ovimage(_u3002, _u3001, _u3003), _u3004))), _u3004)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u3005, _u3006, _u3007), c_Orderings_Otop__class_Otop(tc_fun(_u3005, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3006, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3005, _u3006, _u3007), hAPP(c_Set_Ovimage(_u3005, _u3006, _u3007), _u3008)) = _u3008) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3013, tc_fun(_u3015, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3013, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u3015, tc_HOL_Obool), tc_fun(_u3015, tc_HOL_Obool), _u3013), hAPP(c_COMBC(_u3015, tc_fun(_u3015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3015))), _u3017)), _u3019)) | hBOOL(hAPP(hAPP(c_member(_u3015), _u3019), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3013, tc_fun(_u3015, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3013, tc_HOL_Obool))), _u3017))) )).
% 12.21/12.37 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3016), _u3020), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3014, tc_fun(_u3016, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3014, tc_HOL_Obool))), _u3018))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3014, tc_fun(_u3016, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3014, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u3016, tc_HOL_Obool), tc_fun(_u3016, tc_HOL_Obool), _u3014), hAPP(c_COMBC(_u3016, tc_fun(_u3016, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3016))), _u3018)), _u3020)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u3021, _u3022, _u3023), _u3024) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3021, tc_fun(_u3022, tc_HOL_Obool)), _u3024), hAPP(hAPP(c_COMBB(tc_fun(_u3021, tc_HOL_Obool), tc_fun(_u3022, tc_HOL_Obool), _u3021), c_Relation_OImage(_u3021, _u3022, _u3023)), hAPP(hAPP(c_COMBC(_u3021, tc_fun(_u3021, tc_HOL_Obool), tc_fun(_u3021, tc_HOL_Obool)), c_Set_Oinsert(_u3021)), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3025, _u3026, _u3027), _u3028) = hAPP(c_Set_OCollect(_u3025), hAPP(hAPP(c_COMBC(_u3025, tc_fun(_u3026, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u3026, tc_fun(tc_fun(_u3026, tc_HOL_Obool), tc_HOL_Obool), _u3025), c_member(_u3026)), _u3027)), _u3028))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u3040, _u3036) = _u3042) | ~hBOOL(hAPP(hAPP(c_member(_u3034), _u3036), hAPP(c_Set_Ovimage(_u3034, _u3038, _u3040), hAPP(hAPP(c_Set_Oinsert(_u3038), _u3042), c_Orderings_Obot__class_Obot(tc_fun(_u3038, tc_HOL_Obool)))))) )).
% 12.21/12.37 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u3041, _u3037) != _u3043) | hBOOL(hAPP(hAPP(c_member(_u3035), _u3037), hAPP(c_Set_Ovimage(_u3035, _u3039, _u3041), hAPP(hAPP(c_Set_Oinsert(_u3039), _u3043), c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3044, _u3045, _u3046), hAPP(hAPP(c_Set_Oinsert(_u3045), _u3047), _u3048)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3044, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3044, _u3045, _u3046), hAPP(hAPP(c_Set_Oinsert(_u3045), _u3047), c_Orderings_Obot__class_Obot(tc_fun(_u3045, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u3044, _u3045, _u3046), _u3048))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u3049, _u3050, _u3051), c_Orderings_Otop__class_Otop(tc_fun(_u3049, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3050, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3049, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3049, _u3050, _u3051), _u3052)), _u3053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3050, tc_HOL_Obool)), _u3052), hAPP(c_Set_Oimage(_u3049, _u3050, _u3051), _u3053))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u3054, _u3055, _u3056), hAPP(c_Set_Ovimage(_u3054, _u3055, _u3056), _u3057)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3055, tc_HOL_Obool)), _u3057), hAPP(c_Set_Oimage(_u3054, _u3055, _u3056), c_Orderings_Otop__class_Otop(tc_fun(_u3054, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3058, _u3059, _u3060, c_Orderings_Otop__class_Otop(tc_fun(_u3058, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u3058, _u3059, _u3060), hAPP(c_Set_Oimage(_u3058, _u3059, _u3060), _u3061)) = _u3061) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3066), _u3068), _u3070)) | ( hAPP(c_Set_Ovimage(_u3072, _u3066, hAPP(c_COMBK(_u3066, _u3072), _u3068)), _u3070) = c_Orderings_Otop__class_Otop(tc_fun(_u3072, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3067), _u3069), _u3071)) | ( hAPP(c_Set_Ovimage(_u3073, _u3067, hAPP(c_COMBK(_u3067, _u3073), _u3069)), _u3071) = c_Orderings_Obot__class_Obot(tc_fun(_u3073, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u3074, _u3075, _u3076, c_Orderings_Otop__class_Otop(tc_fun(_u3074, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3075, tc_HOL_Obool)), _u3077), hAPP(c_Set_Oimage(_u3074, _u3075, _u3076), _u3078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3074, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3074, _u3075, _u3076), _u3077)), _u3078)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3079), _u3080), _u3081)) | ~hBOOL(hAPP(hAPP(c_member(_u3082), _u3083), hAPP(_u3084, _u3080))) | hBOOL(hAPP(hAPP(c_member(_u3082), _u3083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3079, tc_fun(_u3082, tc_HOL_Obool)), _u3081), _u3084))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3086, tc_fun(tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool)), _u3087), hAPP(hAPP(c_COMBB(tc_fun(_u3085, tc_HOL_Obool), tc_fun(tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool), _u3086), c_Set_OPow(_u3085)), _u3088))), hAPP(c_Set_OPow(_u3085), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3086, tc_fun(_u3085, tc_HOL_Obool)), _u3087), _u3088)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3089, _u3090, _u3091), _u3092) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3090, tc_fun(_u3089, tc_HOL_Obool)), _u3092), hAPP(hAPP(c_COMBB(tc_fun(_u3090, tc_HOL_Obool), tc_fun(_u3089, tc_HOL_Obool), _u3090), c_Set_Ovimage(_u3089, _u3090, _u3091)), hAPP(hAPP(c_COMBC(_u3090, tc_fun(_u3090, tc_HOL_Obool), tc_fun(_u3090, tc_HOL_Obool)), c_Set_Oinsert(_u3090)), c_Orderings_Obot__class_Obot(tc_fun(_u3090, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u3093, _u3094, _u3095), _u3096) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3093, tc_fun(_u3094, tc_HOL_Obool)), _u3096), hAPP(hAPP(c_COMBC(_u3093, tc_fun(_u3094, tc_HOL_Obool), tc_fun(_u3094, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3094, tc_fun(tc_fun(_u3094, tc_HOL_Obool), tc_fun(_u3094, tc_HOL_Obool)), _u3093), c_Set_Oinsert(_u3094)), _u3095)), c_Orderings_Obot__class_Obot(tc_fun(_u3094, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3097, _u3098, _u3099) | ~c_Equiv__Relations_Ocongruent(_u3097, tc_fun(_u3100, tc_HOL_Obool), _u3099, _u3101) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3102), _u3098)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3097, tc_fun(_u3100, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3097, _u3097, _u3099), hAPP(hAPP(c_Set_Oinsert(_u3097), _u3102), c_Orderings_Obot__class_Obot(tc_fun(_u3097, tc_HOL_Obool))))), _u3101) = hAPP(_u3101, _u3102)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3103, _u3104, _u3105) | ~c_Equiv__Relations_Oequiv(_u3106, _u3107, _u3108) | ~c_Equiv__Relations_Ocongruent2(_u3103, _u3106, tc_fun(_u3109, tc_HOL_Obool), _u3105, _u3108, _u3110) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3111), _u3104)) | ~hBOOL(hAPP(hAPP(c_member(_u3106), _u3112), _u3107)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3103, tc_fun(_u3109, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3103, _u3103, _u3105), hAPP(hAPP(c_Set_Oinsert(_u3103), _u3111), c_Orderings_Obot__class_Obot(tc_fun(_u3103, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u3106, tc_fun(_u3109, tc_HOL_Obool)), tc_fun(_u3109, tc_HOL_Obool), _u3103), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3106, tc_fun(_u3109, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3106, _u3106, _u3108), hAPP(hAPP(c_Set_Oinsert(_u3106), _u3112), c_Orderings_Obot__class_Obot(tc_fun(_u3106, tc_HOL_Obool)))))), _u3110)) = hAPP(hAPP(_u3110, _u3111), _u3112)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3113, tc_fun(_u3114, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3113), _u3115), _u3116)), _u3117) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3114, tc_HOL_Obool)), hAPP(_u3117, _u3115)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3113, tc_fun(_u3114, tc_HOL_Obool)), _u3116), _u3117))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u3123 != c_Orderings_Obot__class_Obot(tc_fun(_u3125, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3127, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3125, tc_fun(_u3127, tc_HOL_Obool)), _u3123), _u3129)), _u3131) = _u3131) )).
% 12.21/12.37 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u3124 = c_Orderings_Obot__class_Obot(tc_fun(_u3126, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3128, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3126, tc_fun(_u3128, tc_HOL_Obool)), _u3124), _u3130)), _u3132) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3126, tc_fun(_u3128, tc_HOL_Obool)), _u3124), hAPP(hAPP(c_COMBC(_u3126, tc_fun(_u3128, tc_HOL_Obool), tc_fun(_u3128, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3128, tc_HOL_Obool), tc_fun(tc_fun(_u3128, tc_HOL_Obool), tc_fun(_u3128, tc_HOL_Obool)), _u3126), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3128, tc_HOL_Obool))), _u3130)), _u3132))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u3138 != c_Orderings_Obot__class_Obot(tc_fun(_u3140, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3142, tc_HOL_Obool)), _u3144), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3140, tc_fun(_u3142, tc_HOL_Obool)), _u3138), _u3146)) = _u3144) )).
% 12.21/12.37 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u3139 = c_Orderings_Obot__class_Obot(tc_fun(_u3141, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3143, tc_HOL_Obool)), _u3145), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3141, tc_fun(_u3143, tc_HOL_Obool)), _u3139), _u3147)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3141, tc_fun(_u3143, tc_HOL_Obool)), _u3139), hAPP(hAPP(c_COMBB(tc_fun(_u3143, tc_HOL_Obool), tc_fun(_u3143, tc_HOL_Obool), _u3141), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3143, tc_HOL_Obool)), _u3145)), _u3147))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3148, _u3149, _u3150) | ~c_Equiv__Relations_Ocongruent2(_u3148, _u3151, _u3152, _u3150, _u3153, _u3154) | ~hBOOL(hAPP(hAPP(c_member(_u3148), _u3155), _u3149)) | c_Equiv__Relations_Ocongruent(_u3151, _u3152, _u3153, hAPP(_u3154, _u3155)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3169), _u3158), _u3171)) | ~hBOOL(hAPP(hAPP(c_member(_u3167), _u3157), hAPP(_u3173, _u3158))) | hBOOL(hAPP(_u3175, _u3157)) | hBOOL(hAPP(hAPP(c_member(_u3167), skolem45(_u3175, _u3173, _u3171, _u3169, _u3167)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3169, tc_fun(_u3167, tc_HOL_Obool)), _u3171), _u3173))) )).
% 12.21/12.37 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3169), _u3158), _u3171)) | ~hBOOL(hAPP(hAPP(c_member(_u3167), _u3157), hAPP(_u3173, _u3158))) | hBOOL(hAPP(_u3175, _u3157)) | ~hBOOL(hAPP(_u3175, skolem45(_u3175, _u3173, _u3171, _u3169, _u3167))) )).
% 12.21/12.37 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3168), _u3161), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3170, tc_fun(_u3168, tc_HOL_Obool)), _u3172), _u3174))) | hBOOL(hAPP(_u3176, _u3161)) | hBOOL(hAPP(hAPP(c_member(_u3170), skolem46(_u3176, _u3174, _u3172, _u3170, _u3168)), _u3172)) )).
% 12.21/12.37 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3168), _u3161), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3170, tc_fun(_u3168, tc_HOL_Obool)), _u3172), _u3174))) | hBOOL(hAPP(_u3176, _u3161)) | hBOOL(hAPP(hAPP(c_member(_u3168), skolem47(_u3176, _u3174, _u3172, _u3170, _u3168)), hAPP(_u3174, skolem46(_u3176, _u3174, _u3172, _u3170, _u3168)))) )).
% 12.21/12.37 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3168), _u3161), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3170, tc_fun(_u3168, tc_HOL_Obool)), _u3172), _u3174))) | hBOOL(hAPP(_u3176, _u3161)) | ~hBOOL(hAPP(_u3176, skolem47(_u3176, _u3174, _u3172, _u3170, _u3168))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3177) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3178, _u3177), _u3179), hAPP(hAPP(c_COMBB(tc_fun(_u3180, _u3177), _u3177, _u3178), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3180, _u3177), _u3181)), _u3182)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3180, _u3177), _u3181), hAPP(hAPP(c_COMBB(tc_fun(_u3178, _u3177), _u3177, _u3180), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3178, _u3177), _u3179)), hAPP(c_COMBC(_u3178, _u3180, _u3177), _u3182)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3183, tc_fun(_u3184, tc_HOL_Obool)), _u3185), hAPP(hAPP(c_COMBC(_u3183, tc_fun(_u3186, tc_fun(_u3184, tc_HOL_Obool)), tc_fun(_u3184, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3186, tc_HOL_Obool), tc_fun(tc_fun(_u3186, tc_fun(_u3184, tc_HOL_Obool)), tc_fun(_u3184, tc_HOL_Obool)), _u3183), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3186, tc_fun(_u3184, tc_HOL_Obool))), _u3187)), _u3188)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3186, tc_fun(_u3184, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3183, tc_fun(_u3186, tc_HOL_Obool)), _u3185), _u3187)), _u3188)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3189, tc_fun(_u3190, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3191, tc_fun(_u3189, tc_HOL_Obool)), _u3192), _u3193)), _u3194) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3191, tc_fun(_u3190, tc_HOL_Obool)), _u3192), hAPP(hAPP(c_COMBC(_u3191, tc_fun(_u3189, tc_fun(_u3190, tc_HOL_Obool)), tc_fun(_u3190, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3189, tc_HOL_Obool), tc_fun(tc_fun(_u3189, tc_fun(_u3190, tc_HOL_Obool)), tc_fun(_u3190, tc_HOL_Obool)), _u3191), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3189, tc_fun(_u3190, tc_HOL_Obool))), _u3193)), _u3194))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3195, tc_fun(_u3196, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3197, tc_fun(_u3195, tc_HOL_Obool)), _u3198), _u3199)), _u3200) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3197, tc_fun(_u3196, tc_HOL_Obool)), _u3198), hAPP(hAPP(c_COMBC(_u3197, tc_fun(_u3195, tc_fun(_u3196, tc_HOL_Obool)), tc_fun(_u3196, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3195, tc_HOL_Obool), tc_fun(tc_fun(_u3195, tc_fun(_u3196, tc_HOL_Obool)), tc_fun(_u3196, tc_HOL_Obool)), _u3197), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3195, tc_fun(_u3196, tc_HOL_Obool))), _u3199)), _u3200))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3201, _u3202, _u3203) | ~c_Equiv__Relations_Oequiv(_u3204, _u3205, _u3206) | ~c_Equiv__Relations_Ocongruent2(_u3201, _u3204, tc_fun(_u3207, tc_HOL_Obool), _u3203, _u3206, _u3208) | ~hBOOL(hAPP(hAPP(c_member(_u3204), _u3209), _u3205)) | c_Equiv__Relations_Ocongruent(_u3201, tc_fun(_u3207, tc_HOL_Obool), _u3203, hAPP(hAPP(c_COMBB(tc_fun(_u3204, tc_fun(_u3207, tc_HOL_Obool)), tc_fun(_u3207, tc_HOL_Obool), _u3201), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3204, tc_fun(_u3207, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3204, _u3204, _u3206), hAPP(hAPP(c_Set_Oinsert(_u3204), _u3209), c_Orderings_Obot__class_Obot(tc_fun(_u3204, tc_HOL_Obool)))))), _u3208)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3213, _u3212), _u3214), _u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_member(_u3213), _u3210), _u3214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(_u3215, _u3210)), _u3216)) )).
% 12.21/12.37 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3213, _u3212), _u3214), _u3215)), _u3216)) | hBOOL(hAPP(hAPP(c_member(_u3213), skolem48(_u3216, _u3215, _u3214, _u3213, _u3212)), _u3214)) )).
% 12.21/12.37 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3213, _u3212), _u3214), _u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(_u3215, skolem48(_u3216, _u3215, _u3214, _u3213, _u3212))), _u3216)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3219) | ~class_Orderings_Olinorder(_u3219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3221, _u3219), _u3222), _u3223))) | hBOOL(hAPP(hAPP(c_member(_u3221), skolem49(_u3223, _u3222, _u3221, _u3220, _u3219)), _u3222)) )).
% 12.21/12.37 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3219) | ~class_Orderings_Olinorder(_u3219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3221, _u3219), _u3222), _u3223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(_u3223, skolem49(_u3223, _u3222, _u3221, _u3220, _u3219)))) )).
% 12.21/12.37 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3219) | ~class_Orderings_Olinorder(_u3219) | ~hBOOL(hAPP(hAPP(c_member(_u3221), _u3218), _u3222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(_u3223, _u3218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3221, _u3219), _u3222), _u3223))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3231), _u3233), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3235, tc_fun(_u3231, tc_HOL_Obool)), _u3237), _u3239))) | hBOOL(hAPP(hAPP(c_member(_u3235), skolem50(_u3239, _u3237, _u3235, _u3233, _u3231)), _u3237)) )).
% 12.21/12.37 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3231), _u3233), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3235, tc_fun(_u3231, tc_HOL_Obool)), _u3237), _u3239))) | hBOOL(hAPP(hAPP(c_member(_u3231), _u3233), hAPP(_u3239, skolem50(_u3239, _u3237, _u3235, _u3233, _u3231)))) )).
% 12.21/12.37 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3236), _u3225), _u3238)) | ~hBOOL(hAPP(hAPP(c_member(_u3232), _u3234), hAPP(_u3240, _u3225))) | hBOOL(hAPP(hAPP(c_member(_u3232), _u3234), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3236, tc_fun(_u3232, tc_HOL_Obool)), _u3238), _u3240))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3241) | ( _u3242 = c_Orderings_Obot__class_Obot(tc_fun(_u3243, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3243, _u3241), _u3242), hAPP(c_COMBK(_u3241, _u3243), _u3244)) = _u3244) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3251, tc_fun(_u3253, tc_HOL_Obool)), _u3255), _u3257) != c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3251), _u3245), _u3255)) | ( hAPP(_u3257, _u3245) = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3252, tc_fun(_u3254, tc_HOL_Obool)), _u3256), _u3258) = c_Orderings_Obot__class_Obot(tc_fun(_u3254, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3252), skolem51(_u3258, _u3256, _u3254, _u3252)), _u3256)) )).
% 12.21/12.37 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3252, tc_fun(_u3254, tc_HOL_Obool)), _u3256), _u3258) = c_Orderings_Obot__class_Obot(tc_fun(_u3254, tc_HOL_Obool))) | ( hAPP(_u3258, skolem51(_u3258, _u3256, _u3254, _u3252)) != c_Orderings_Obot__class_Obot(tc_fun(_u3254, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__constant-1, axiom, ( ( _u3263 != c_Orderings_Obot__class_Obot(tc_fun(_u3265, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3265, tc_fun(_u3267, tc_HOL_Obool)), _u3263), hAPP(c_COMBK(tc_fun(_u3267, tc_HOL_Obool), _u3265), _u3269)) = c_Orderings_Obot__class_Obot(tc_fun(_u3267, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_UN__constant-2, axiom, ( ( _u3264 = c_Orderings_Obot__class_Obot(tc_fun(_u3266, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3266, tc_fun(_u3268, tc_HOL_Obool)), _u3264), hAPP(c_COMBK(tc_fun(_u3268, tc_HOL_Obool), _u3266), _u3270)) = _u3270) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3271, tc_fun(_u3272, tc_HOL_Obool)), _u3273), hAPP(c_COMBK(tc_fun(_u3272, tc_HOL_Obool), _u3271), c_Orderings_Obot__class_Obot(tc_fun(_u3272, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3272, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u3280, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3282, tc_fun(_u3280, tc_HOL_Obool)), _u3284), _u3286)) | ~hBOOL(hAPP(hAPP(c_member(_u3282), _u3274), _u3284)) | ( hAPP(_u3286, _u3274) = c_Orderings_Obot__class_Obot(tc_fun(_u3280, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u3281, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3283, tc_fun(_u3281, tc_HOL_Obool)), _u3285), _u3287)) | hBOOL(hAPP(hAPP(c_member(_u3283), skolem52(_u3287, _u3285, _u3283, _u3281)), _u3285)) )).
% 12.21/12.37 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u3281, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3283, tc_fun(_u3281, tc_HOL_Obool)), _u3285), _u3287)) | ( hAPP(_u3287, skolem52(_u3287, _u3285, _u3283, _u3281)) != c_Orderings_Obot__class_Obot(tc_fun(_u3281, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3295, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3297, tc_fun(_u3295, tc_HOL_Obool)), _u3299), _u3301)), _u3303)) | ~hBOOL(hAPP(hAPP(c_member(_u3297), _u3288), _u3299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3295, tc_HOL_Obool)), hAPP(_u3301, _u3288)), _u3303)) )).
% 12.21/12.37 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3296, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3298, tc_fun(_u3296, tc_HOL_Obool)), _u3300), _u3302)), _u3304)) | hBOOL(hAPP(hAPP(c_member(_u3298), skolem53(_u3304, _u3302, _u3300, _u3298, _u3296)), _u3300)) )).
% 12.21/12.37 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3296, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3298, tc_fun(_u3296, tc_HOL_Obool)), _u3300), _u3302)), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3296, tc_HOL_Obool)), hAPP(_u3302, skolem53(_u3304, _u3302, _u3300, _u3298, _u3296))), _u3304)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3305, tc_fun(_u3306, tc_HOL_Obool)), _u3307), hAPP(hAPP(c_COMBB(_u3308, tc_fun(_u3306, tc_HOL_Obool), _u3305), _u3309), _u3310)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3308, tc_fun(_u3306, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3305, _u3308, _u3310), _u3307)), _u3309)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u3311, _u3312, _u3313), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3314, tc_fun(_u3311, tc_HOL_Obool)), _u3315), _u3316)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3314, tc_fun(_u3312, tc_HOL_Obool)), _u3315), hAPP(hAPP(c_COMBB(tc_fun(_u3311, tc_HOL_Obool), tc_fun(_u3312, tc_HOL_Obool), _u3314), c_Set_Oimage(_u3311, _u3312, _u3313)), _u3316))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3317, tc_fun(_u3318, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3319, _u3317, _u3320), _u3321)), _u3322) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3319, tc_fun(_u3318, tc_HOL_Obool)), _u3321), hAPP(hAPP(c_COMBB(_u3317, tc_fun(_u3318, tc_HOL_Obool), _u3319), _u3322), _u3320))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3323, tc_fun(_u3324, tc_HOL_Obool)), _u3325), hAPP(hAPP(c_COMBS(_u3323, tc_fun(_u3324, tc_HOL_Obool), tc_fun(_u3324, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3324, tc_HOL_Obool), tc_fun(tc_fun(_u3324, tc_HOL_Obool), tc_fun(_u3324, tc_HOL_Obool)), _u3323), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3324, tc_HOL_Obool))), _u3326)), _u3327)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3324, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3323, tc_fun(_u3324, tc_HOL_Obool)), _u3325), _u3326)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3323, tc_fun(_u3324, tc_HOL_Obool)), _u3325), _u3327))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3328, tc_fun(_u3329, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3328, tc_HOL_Obool)), _u3330), _u3331)), _u3332) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3329, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3328, tc_fun(_u3329, tc_HOL_Obool)), _u3330), _u3332)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3328, tc_fun(_u3329, tc_HOL_Obool)), _u3331), _u3332))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3333, tc_fun(_u3334, tc_HOL_Obool)), _u3335), hAPP(hAPP(c_COMBB(tc_fun(_u3334, tc_HOL_Obool), tc_fun(_u3334, tc_HOL_Obool), _u3333), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3334, tc_HOL_Obool)), _u3336)), _u3337)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3334, tc_HOL_Obool)), _u3336), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3333, tc_fun(_u3334, tc_HOL_Obool)), _u3335), _u3337))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3338, tc_fun(_u3339, tc_HOL_Obool)), _u3340), hAPP(hAPP(c_COMBC(_u3338, tc_fun(_u3339, tc_HOL_Obool), tc_fun(_u3339, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3339, tc_HOL_Obool), tc_fun(tc_fun(_u3339, tc_HOL_Obool), tc_fun(_u3339, tc_HOL_Obool)), _u3338), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3339, tc_HOL_Obool))), _u3341)), _u3342)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3339, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3338, tc_fun(_u3339, tc_HOL_Obool)), _u3340), _u3341)), _u3342)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3343, tc_HOL_Obool)), _u3344), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3345, tc_fun(_u3343, tc_HOL_Obool)), _u3346), _u3347)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3345, tc_fun(_u3343, tc_HOL_Obool)), _u3346), hAPP(hAPP(c_COMBB(tc_fun(_u3343, tc_HOL_Obool), tc_fun(_u3343, tc_HOL_Obool), _u3345), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3343, tc_HOL_Obool)), _u3344)), _u3347))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3348, tc_HOL_Obool)), _u3349), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3350, tc_fun(_u3348, tc_HOL_Obool)), _u3351), _u3352)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3350, tc_fun(_u3348, tc_HOL_Obool)), _u3351), hAPP(hAPP(c_COMBB(tc_fun(_u3348, tc_HOL_Obool), tc_fun(_u3348, tc_HOL_Obool), _u3350), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3348, tc_HOL_Obool)), _u3349)), _u3352))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3353, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3354, tc_fun(_u3353, tc_HOL_Obool)), _u3355), _u3356)), _u3357) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3354, tc_fun(_u3353, tc_HOL_Obool)), _u3355), hAPP(hAPP(c_COMBC(_u3354, tc_fun(_u3353, tc_HOL_Obool), tc_fun(_u3353, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3353, tc_HOL_Obool), tc_fun(tc_fun(_u3353, tc_HOL_Obool), tc_fun(_u3353, tc_HOL_Obool)), _u3354), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3353, tc_HOL_Obool))), _u3356)), _u3357))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3358, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3359, tc_fun(_u3358, tc_HOL_Obool)), _u3360), _u3361)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3362, tc_fun(_u3358, tc_HOL_Obool)), _u3363), _u3364)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3359, tc_fun(_u3358, tc_HOL_Obool)), _u3360), hAPP(hAPP(c_COMBB(tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool)), tc_fun(_u3358, tc_HOL_Obool), _u3359), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3362, tc_fun(_u3358, tc_HOL_Obool)), _u3363)), hAPP(hAPP(c_COMBC(_u3359, tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool)), tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u3358, tc_HOL_Obool), tc_fun(_u3358, tc_HOL_Obool)), tc_fun(tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool)), tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool))), _u3359), c_COMBB(tc_fun(_u3358, tc_HOL_Obool), tc_fun(_u3358, tc_HOL_Obool), _u3362)), hAPP(hAPP(c_COMBB(tc_fun(_u3358, tc_HOL_Obool), tc_fun(tc_fun(_u3358, tc_HOL_Obool), tc_fun(_u3358, tc_HOL_Obool)), _u3359), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3358, tc_HOL_Obool))), _u3361))), _u3364)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3365) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3366, tc_fun(_u3367, _u3365)), _u3368), _u3369), _u3370) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3366, _u3365), _u3368), hAPP(hAPP(c_COMBC(_u3366, _u3367, _u3365), _u3369), _u3370))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3371, tc_fun(_u3372, tc_HOL_Obool)), _u3373), hAPP(hAPP(c_COMBC(_u3371, tc_fun(_u3372, tc_HOL_Obool), tc_fun(_u3372, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3372, tc_HOL_Obool), tc_fun(tc_fun(_u3372, tc_HOL_Obool), tc_fun(_u3372, tc_HOL_Obool)), _u3371), c_Groups_Ominus__class_Ominus(tc_fun(_u3372, tc_HOL_Obool))), _u3374)), _u3375)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3372, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3371, tc_fun(_u3372, tc_HOL_Obool)), _u3373), _u3374)), _u3375)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3376, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3377, tc_fun(_u3376, tc_HOL_Obool)), _u3378), _u3379)), _u3380) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3377, tc_fun(_u3376, tc_HOL_Obool)), _u3378), hAPP(hAPP(c_COMBC(_u3377, tc_fun(_u3376, tc_HOL_Obool), tc_fun(_u3376, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3376, tc_HOL_Obool), tc_fun(tc_fun(_u3376, tc_HOL_Obool), tc_fun(_u3376, tc_HOL_Obool)), _u3377), c_Groups_Ominus__class_Ominus(tc_fun(_u3376, tc_HOL_Obool))), _u3379)), _u3380))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3381, _u3382, _u3383), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3384, tc_fun(_u3382, tc_HOL_Obool)), _u3385), _u3386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3384, tc_fun(_u3381, tc_HOL_Obool)), _u3385), hAPP(hAPP(c_COMBB(tc_fun(_u3382, tc_HOL_Obool), tc_fun(_u3381, tc_HOL_Obool), _u3384), c_Set_Ovimage(_u3381, _u3382, _u3383)), _u3386))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3388, tc_HOL_Obool)), _u3389), _u3390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3387), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3388, _u3387), _u3389), _u3391)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3388, _u3387), _u3390), _u3391))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3392) | ~hBOOL(hAPP(hAPP(c_member(_u3393), _u3394), _u3395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3392), hAPP(_u3396, _u3394)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3393, _u3392), _u3395), _u3396))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3397), _u3398), _u3399)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3397, tc_fun(_u3400, tc_HOL_Obool)), _u3399), hAPP(hAPP(c_COMBB(tc_fun(_u3400, tc_HOL_Obool), tc_fun(_u3400, tc_HOL_Obool), _u3397), hAPP(c_Set_Oinsert(_u3400), _u3401)), _u3402)) = hAPP(hAPP(c_Set_Oinsert(_u3400), _u3401), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3397, tc_fun(_u3400, tc_HOL_Obool)), _u3399), _u3402))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3403), _u3404), _u3405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3406, tc_HOL_Obool)), hAPP(_u3407, _u3404)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3403, tc_fun(_u3406, tc_HOL_Obool)), _u3405), _u3407))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3408), _u3409), _u3410)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3411, tc_HOL_Obool)), hAPP(_u3412, _u3409)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3408, tc_fun(_u3411, tc_HOL_Obool)), _u3410), _u3412)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3408, tc_fun(_u3411, tc_HOL_Obool)), _u3410), _u3412)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u3418 != c_Orderings_Obot__class_Obot(tc_fun(_u3420, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u3422), _u3424), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3420, tc_fun(_u3422, tc_HOL_Obool)), _u3418), _u3426)) = hAPP(hAPP(c_Set_Oinsert(_u3422), _u3424), c_Orderings_Obot__class_Obot(tc_fun(_u3422, tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u3419 = c_Orderings_Obot__class_Obot(tc_fun(_u3421, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u3423), _u3425), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3421, tc_fun(_u3423, tc_HOL_Obool)), _u3419), _u3427)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3421, tc_fun(_u3423, tc_HOL_Obool)), _u3419), hAPP(hAPP(c_COMBB(tc_fun(_u3423, tc_HOL_Obool), tc_fun(_u3423, tc_HOL_Obool), _u3421), hAPP(c_Set_Oinsert(_u3423), _u3425)), _u3427))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3428, tc_fun(_u3428, tc_HOL_Obool)), _u3429), hAPP(hAPP(c_COMBC(_u3428, tc_fun(_u3428, tc_HOL_Obool), tc_fun(_u3428, tc_HOL_Obool)), c_Set_Oinsert(_u3428)), c_Orderings_Obot__class_Obot(tc_fun(_u3428, tc_HOL_Obool)))) = _u3429) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u3435 != c_Orderings_Obot__class_Obot(tc_fun(_u3437, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3437, tc_fun(_u3439, tc_HOL_Obool)), _u3435), hAPP(hAPP(c_COMBB(tc_fun(_u3439, tc_HOL_Obool), tc_fun(_u3439, tc_HOL_Obool), _u3437), hAPP(c_Set_Oinsert(_u3439), _u3441)), _u3443)) = c_Orderings_Obot__class_Obot(tc_fun(_u3439, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u3436 = c_Orderings_Obot__class_Obot(tc_fun(_u3438, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3438, tc_fun(_u3440, tc_HOL_Obool)), _u3436), hAPP(hAPP(c_COMBB(tc_fun(_u3440, tc_HOL_Obool), tc_fun(_u3440, tc_HOL_Obool), _u3438), hAPP(c_Set_Oinsert(_u3440), _u3442)), _u3444)) = hAPP(hAPP(c_Set_Oinsert(_u3440), _u3442), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3438, tc_fun(_u3440, tc_HOL_Obool)), _u3436), _u3444))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u3450 != c_Orderings_Obot__class_Obot(tc_fun(_u3452, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3452, tc_fun(_u3454, tc_HOL_Obool)), _u3450), hAPP(hAPP(c_COMBB(tc_fun(_u3454, tc_HOL_Obool), tc_fun(_u3454, tc_HOL_Obool), _u3452), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3454, tc_HOL_Obool)), _u3456)), _u3458)) = c_Orderings_Obot__class_Obot(tc_fun(_u3454, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u3451 = c_Orderings_Obot__class_Obot(tc_fun(_u3453, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3453, tc_fun(_u3455, tc_HOL_Obool)), _u3451), hAPP(hAPP(c_COMBB(tc_fun(_u3455, tc_HOL_Obool), tc_fun(_u3455, tc_HOL_Obool), _u3453), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3455, tc_HOL_Obool)), _u3457)), _u3459)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3455, tc_HOL_Obool)), _u3457), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3453, tc_fun(_u3455, tc_HOL_Obool)), _u3451), _u3459))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u3465 != c_Orderings_Obot__class_Obot(tc_fun(_u3467, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3467, tc_fun(_u3469, tc_HOL_Obool)), _u3465), hAPP(hAPP(c_COMBC(_u3467, tc_fun(_u3469, tc_HOL_Obool), tc_fun(_u3469, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3469, tc_HOL_Obool), tc_fun(tc_fun(_u3469, tc_HOL_Obool), tc_fun(_u3469, tc_HOL_Obool)), _u3467), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3469, tc_HOL_Obool))), _u3471)), _u3473)) = c_Orderings_Obot__class_Obot(tc_fun(_u3469, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u3466 = c_Orderings_Obot__class_Obot(tc_fun(_u3468, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3468, tc_fun(_u3470, tc_HOL_Obool)), _u3466), hAPP(hAPP(c_COMBC(_u3468, tc_fun(_u3470, tc_HOL_Obool), tc_fun(_u3470, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3470, tc_HOL_Obool), tc_fun(tc_fun(_u3470, tc_HOL_Obool), tc_fun(_u3470, tc_HOL_Obool)), _u3468), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3470, tc_HOL_Obool))), _u3472)), _u3474)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3470, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3468, tc_fun(_u3470, tc_HOL_Obool)), _u3466), _u3472)), _u3474)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3477, _u3478, _u3479) | ~c_Equiv__Relations_Oequiv(_u3480, _u3481, _u3482) | ~c_Equiv__Relations_Ocongruent2(_u3477, _u3480, tc_fun(_u3483, tc_HOL_Obool), _u3479, _u3482, _u3484) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3477, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3477), _u3478), _u3479))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3480, tc_HOL_Obool)), _u3486), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3480), _u3481), _u3482))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3477, tc_fun(_u3483, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_COMBB(tc_fun(_u3480, tc_fun(_u3483, tc_HOL_Obool)), tc_fun(_u3483, tc_HOL_Obool), _u3477), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3480, tc_fun(_u3483, tc_HOL_Obool)), _u3486)), _u3484))), _u3487)) | hBOOL(hAPP(hAPP(c_member(_u3477), skolem54(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477)), _u3478)) )).
% 12.21/12.37 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3477, _u3478, _u3479) | ~c_Equiv__Relations_Oequiv(_u3480, _u3481, _u3482) | ~c_Equiv__Relations_Ocongruent2(_u3477, _u3480, tc_fun(_u3483, tc_HOL_Obool), _u3479, _u3482, _u3484) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3477, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3477), _u3478), _u3479))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3480, tc_HOL_Obool)), _u3486), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3480), _u3481), _u3482))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3477, tc_fun(_u3483, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_COMBB(tc_fun(_u3480, tc_fun(_u3483, tc_HOL_Obool)), tc_fun(_u3483, tc_HOL_Obool), _u3477), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3480, tc_fun(_u3483, tc_HOL_Obool)), _u3486)), _u3484))), _u3487)) | hBOOL(hAPP(hAPP(c_member(_u3480), skolem55(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477)), _u3481)) )).
% 12.21/12.37 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u3477, _u3478, _u3479) | ~c_Equiv__Relations_Oequiv(_u3480, _u3481, _u3482) | ~c_Equiv__Relations_Ocongruent2(_u3477, _u3480, tc_fun(_u3483, tc_HOL_Obool), _u3479, _u3482, _u3484) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3477, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3477), _u3478), _u3479))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3480, tc_HOL_Obool)), _u3486), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3480), _u3481), _u3482))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3477, tc_fun(_u3483, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_COMBB(tc_fun(_u3480, tc_fun(_u3483, tc_HOL_Obool)), tc_fun(_u3483, tc_HOL_Obool), _u3477), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3480, tc_fun(_u3483, tc_HOL_Obool)), _u3486)), _u3484))), _u3487)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(_u3484, skolem54(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477)), skolem55(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477))), _u3487)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3489, _u3490, _u3491) | ~c_Equiv__Relations_Ocongruent(_u3489, tc_fun(_u3492, tc_HOL_Obool), _u3491, _u3493) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3489, tc_HOL_Obool)), _u3494), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3489), _u3490), _u3491))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3492, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3489, tc_fun(_u3492, tc_HOL_Obool)), _u3494), _u3493)), _u3495)) | hBOOL(hAPP(hAPP(c_member(_u3489), skolem56(_u3495, _u3494, _u3493, _u3492, _u3491, _u3490, _u3489)), _u3490)) )).
% 12.21/12.37 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3489, _u3490, _u3491) | ~c_Equiv__Relations_Ocongruent(_u3489, tc_fun(_u3492, tc_HOL_Obool), _u3491, _u3493) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3489, tc_HOL_Obool)), _u3494), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3489), _u3490), _u3491))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3492, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3489, tc_fun(_u3492, tc_HOL_Obool)), _u3494), _u3493)), _u3495)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3492, tc_HOL_Obool)), hAPP(_u3493, skolem56(_u3495, _u3494, _u3493, _u3492, _u3491, _u3490, _u3489))), _u3495)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3496, _u3497, _u3498) | ~hBOOL(hAPP(hAPP(c_member(_u3496), _u3499), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3496, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3496, _u3496, _u3498), hAPP(hAPP(c_Set_Oinsert(_u3496), _u3500), c_Orderings_Obot__class_Obot(tc_fun(_u3496, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u3496, _u3496, _u3498), hAPP(hAPP(c_Set_Oinsert(_u3496), _u3501), c_Orderings_Obot__class_Obot(tc_fun(_u3496, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3496, _u3496)), hAPP(hAPP(c_Product__Type_OPair(_u3496, _u3496), _u3500), _u3501)), _u3498)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3502, _u3503, _u3504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3502, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3502, _u3502, _u3504), hAPP(hAPP(c_Set_Oinsert(_u3502), _u3505), c_Orderings_Obot__class_Obot(tc_fun(_u3502, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u3502, _u3502, _u3504), hAPP(hAPP(c_Set_Oinsert(_u3502), _u3506), c_Orderings_Obot__class_Obot(tc_fun(_u3502, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3505), _u3503)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3502, _u3502)), hAPP(hAPP(c_Product__Type_OPair(_u3502, _u3502), _u3506), _u3505)), _u3504)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3509, _u3510, hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512)), _u3513)) | ( hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512) = hAPP(hAPP(c_Set_Oinsert(_u3509), skolem57(_u3513, _u3512, _u3511, _u3510, _u3509)), skolem58(_u3513, _u3512, _u3511, _u3510, _u3509))) )).
% 12.21/12.37 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3509, _u3510, hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512)), _u3513)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3509, _u3509, _u3510, skolem57(_u3513, _u3512, _u3511, _u3510, _u3509), skolem58(_u3513, _u3512, _u3511, _u3510, _u3509)), _u3513)) )).
% 12.21/12.37 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3509, _u3510, hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512)), _u3513)) | ~hBOOL(hAPP(hAPP(c_member(_u3509), skolem57(_u3513, _u3512, _u3511, _u3510, _u3509)), skolem58(_u3513, _u3512, _u3511, _u3510, _u3509))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3523, _u3525, hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529)), _u3531)) | ( hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529) = hAPP(hAPP(c_Set_Oinsert(_u3523), skolem59(_u3531, _u3529, _u3527, _u3525, _u3523)), skolem60(_u3531, _u3529, _u3527, _u3525, _u3523))) )).
% 12.21/12.37 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3523, _u3525, hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529)), _u3531)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3523, _u3523, _u3525, skolem59(_u3531, _u3529, _u3527, _u3525, _u3523), skolem60(_u3531, _u3529, _u3527, _u3525, _u3523)), _u3531)) )).
% 12.21/12.37 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3523, _u3525, hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529)), _u3531)) | ~hBOOL(hAPP(hAPP(c_member(_u3523), skolem59(_u3531, _u3529, _u3527, _u3525, _u3523)), skolem60(_u3531, _u3529, _u3527, _u3525, _u3523))) )).
% 12.21/12.37 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u3524), _u3528), _u3530) != hAPP(hAPP(c_Set_Oinsert(_u3524), _u3517), _u3516)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3524, _u3524, _u3526, _u3517, _u3516), _u3532)) | hBOOL(hAPP(hAPP(c_member(_u3524), _u3517), _u3516)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3524, _u3526, hAPP(hAPP(c_Set_Oinsert(_u3524), _u3528), _u3530)), _u3532)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3533, _u3534, _u3535) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3536), _u3534)) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3537), _u3534)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3536), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3537), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3533, _u3533)), hAPP(hAPP(c_Product__Type_OPair(_u3533, _u3533), _u3536), _u3537)), _u3535)) )).
% 12.21/12.37 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3533, _u3534, _u3535) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3536), _u3534)) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3537), _u3534)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3533, _u3533)), hAPP(hAPP(c_Product__Type_OPair(_u3533, _u3533), _u3536), _u3537)), _u3535)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3536), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3537), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3538, _u3539, _u3540) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3538, _u3538)), hAPP(hAPP(c_Product__Type_OPair(_u3538, _u3538), _u3541), _u3542)), _u3540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3538, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3538, _u3538, _u3540), hAPP(hAPP(c_Set_Oinsert(_u3538), _u3541), c_Orderings_Obot__class_Obot(tc_fun(_u3538, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u3538, _u3538, _u3540), hAPP(hAPP(c_Set_Oinsert(_u3538), _u3542), c_Orderings_Obot__class_Obot(tc_fun(_u3538, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_dom__eq__singleton__conv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_dom__eq__singleton__conv-1, axiom, ( ( c_Map_Odom(_u3549, _u3551, _u3553) != hAPP(hAPP(c_Set_Oinsert(_u3549), _u3555), c_Orderings_Obot__class_Obot(tc_fun(_u3549, tc_HOL_Obool)))) | ( _u3553 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3549, tc_Option_Ooption(_u3551)), hAPP(c_COMBK(tc_Option_Ooption(_u3551), _u3549), c_Option_Ooption_ONone(_u3551))), _u3555), hAPP(c_Option_Ooption_OSome(_u3551), skolem61(_u3555, _u3553, _u3551, _u3549)))) )).
% 12.21/12.37 cnf(fact_dom__eq__singleton__conv-2, axiom, ( ( _u3554 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3550, tc_Option_Ooption(_u3552)), hAPP(c_COMBK(tc_Option_Ooption(_u3552), _u3550), c_Option_Ooption_ONone(_u3552))), _u3556), hAPP(c_Option_Ooption_OSome(_u3552), _u3544))) | ( c_Map_Odom(_u3550, _u3552, _u3554) = hAPP(hAPP(c_Set_Oinsert(_u3550), _u3556), c_Orderings_Obot__class_Obot(tc_fun(_u3550, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3557), _u3558), _u3559)) | ~hBOOL(hAPP(hAPP(hAPP(_u3560, _u3558), _u3561), _u3562)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3557, tc_fun(_u3563, tc_fun(_u3564, tc_HOL_Obool))), _u3559), _u3560), _u3561), _u3562)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_fun(_u3571, tc_HOL_Obool))), _u3573), _u3575)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3569, _u3571)), hAPP(hAPP(c_Product__Type_OPair(_u3569, _u3571), _u3573), _u3575)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3569, _u3571), tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3570, _u3572)), hAPP(hAPP(c_Product__Type_OPair(_u3570, _u3572), _u3574), _u3576)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3570, _u3572), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u3570, tc_fun(_u3572, tc_HOL_Obool))), _u3574), _u3576)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u3585 = _u3587) | ( hAPP(hAPP(c_COMBC(_u3581, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), _u3581), c_COMBC(_u3583, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_prod(_u3581, _u3583)), tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), _u3581), hAPP(c_COMBB(tc_prod(_u3581, _u3583), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool), _u3583), c_member(tc_prod(_u3581, _u3583)))), c_Product__Type_OPair(_u3581, _u3583)))), _u3585) != hAPP(hAPP(c_COMBC(_u3581, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), _u3581), c_COMBC(_u3583, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_prod(_u3581, _u3583)), tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), _u3581), hAPP(c_COMBB(tc_prod(_u3581, _u3583), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool), _u3583), c_member(tc_prod(_u3581, _u3583)))), c_Product__Type_OPair(_u3581, _u3583)))), _u3587)) )).
% 12.21/12.37 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u3586 != _u3588) | ( hAPP(hAPP(c_COMBC(_u3582, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), _u3582), c_COMBC(_u3584, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_prod(_u3582, _u3584)), tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), _u3582), hAPP(c_COMBB(tc_prod(_u3582, _u3584), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool), _u3584), c_member(tc_prod(_u3582, _u3584)))), c_Product__Type_OPair(_u3582, _u3584)))), _u3586) = hAPP(hAPP(c_COMBC(_u3582, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), _u3582), c_COMBC(_u3584, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_prod(_u3582, _u3584)), tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), _u3582), hAPP(c_COMBB(tc_prod(_u3582, _u3584), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool), _u3584), c_member(tc_prod(_u3582, _u3584)))), c_Product__Type_OPair(_u3582, _u3584)))), _u3588)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3595, tc_fun(_u3597, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3595, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), _u3595), c_COMBC(_u3597, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_prod(_u3595, _u3597)), tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), _u3595), hAPP(c_COMBB(tc_prod(_u3595, _u3597), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool), _u3597), c_member(tc_prod(_u3595, _u3597)))), c_Product__Type_OPair(_u3595, _u3597)))), _u3599)), hAPP(hAPP(c_COMBC(_u3595, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), _u3595), c_COMBC(_u3597, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_prod(_u3595, _u3597)), tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), _u3595), hAPP(c_COMBB(tc_prod(_u3595, _u3597), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool), _u3597), c_member(tc_prod(_u3595, _u3597)))), c_Product__Type_OPair(_u3595, _u3597)))), _u3601)), _u3603), _u3605)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3595, _u3597)), hAPP(hAPP(c_Product__Type_OPair(_u3595, _u3597), _u3603), _u3605)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool)), _u3599), _u3601))) )).
% 12.21/12.37 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3596, _u3598)), hAPP(hAPP(c_Product__Type_OPair(_u3596, _u3598), _u3604), _u3606)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool)), _u3600), _u3602))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3596, tc_fun(_u3598, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3596, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), _u3596), c_COMBC(_u3598, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_prod(_u3596, _u3598)), tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), _u3596), hAPP(c_COMBB(tc_prod(_u3596, _u3598), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool), _u3598), c_member(tc_prod(_u3596, _u3598)))), c_Product__Type_OPair(_u3596, _u3598)))), _u3600)), hAPP(hAPP(c_COMBC(_u3596, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), _u3596), c_COMBC(_u3598, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_prod(_u3596, _u3598)), tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), _u3596), hAPP(c_COMBB(tc_prod(_u3596, _u3598), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool), _u3598), c_member(tc_prod(_u3596, _u3598)))), c_Product__Type_OPair(_u3596, _u3598)))), _u3602)), _u3604), _u3606)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3613, tc_fun(_u3615, tc_fun(_u3617, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3613, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_fun(_u3615, tc_fun(_u3617, tc_HOL_Obool)), _u3613), hAPP(c_COMBC(_u3615, tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_fun(_u3617, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3617, tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_fun(_u3617, tc_HOL_Obool)), _u3615), c_COMBC(_u3617, tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3617, tc_prod(_u3615, _u3617)), tc_fun(_u3617, tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool)), _u3615), hAPP(c_COMBB(tc_prod(_u3615, _u3617), tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool), _u3617), c_member(tc_prod(_u3615, _u3617)))), c_Product__Type_OPair(_u3615, _u3617))))), _u3619)), _u3621), _u3623)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3615, _u3617)), hAPP(hAPP(c_Product__Type_OPair(_u3615, _u3617), _u3621), _u3623)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3613, tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3613, tc_HOL_Obool))), _u3619))) )).
% 12.21/12.37 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3616, _u3618)), hAPP(hAPP(c_Product__Type_OPair(_u3616, _u3618), _u3622), _u3624)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3614, tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3614, tc_HOL_Obool))), _u3620))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3614, tc_fun(_u3616, tc_fun(_u3618, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3614, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_fun(_u3616, tc_fun(_u3618, tc_HOL_Obool)), _u3614), hAPP(c_COMBC(_u3616, tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_fun(_u3618, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3618, tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_fun(_u3618, tc_HOL_Obool)), _u3616), c_COMBC(_u3618, tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3618, tc_prod(_u3616, _u3618)), tc_fun(_u3618, tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool)), _u3616), hAPP(c_COMBB(tc_prod(_u3616, _u3618), tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool), _u3618), c_member(tc_prod(_u3616, _u3618)))), c_Product__Type_OPair(_u3616, _u3618))))), _u3620)), _u3622), _u3624)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_map__upd__Some__unfold ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_map__upd__Some__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3632, tc_Option_Ooption(_u3634)), _u3636), _u3638), hAPP(c_Option_Ooption_OSome(_u3634), _u3640)), _u3642) != hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) | ( _u3642 = _u3638) | ( hAPP(_u3636, _u3642) = hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) )).
% 12.21/12.37 cnf(fact_map__upd__Some__unfold-2, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3632, tc_Option_Ooption(_u3634)), _u3636), _u3638), hAPP(c_Option_Ooption_OSome(_u3634), _u3640)), _u3642) != hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) | ( _u3640 = _u3644) | ( _u3642 != _u3638) )).
% 12.21/12.37 cnf(fact_map__upd__Some__unfold-3, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3632, tc_Option_Ooption(_u3634)), _u3636), _u3638), hAPP(c_Option_Ooption_OSome(_u3634), _u3640)), _u3642) != hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) | ( _u3640 = _u3644) | ( hAPP(_u3636, _u3642) = hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) )).
% 12.21/12.37 cnf(fact_map__upd__Some__unfold-4, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3633, tc_Option_Ooption(_u3635)), _u3637), _u3639), hAPP(c_Option_Ooption_OSome(_u3635), _u3641)), _u3643) = hAPP(c_Option_Ooption_OSome(_u3635), _u3645)) | ( _u3643 != _u3639) | ( _u3641 != _u3645) )).
% 12.21/12.37 cnf(fact_map__upd__Some__unfold-5, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3633, tc_Option_Ooption(_u3635)), _u3637), _u3639), hAPP(c_Option_Ooption_OSome(_u3635), _u3641)), _u3643) = hAPP(c_Option_Ooption_OSome(_u3635), _u3645)) | ( _u3643 = _u3639) | ( hAPP(_u3637, _u3643) != hAPP(c_Option_Ooption_OSome(_u3635), _u3645)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_map__upd__triv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_map__upd__triv-1, axiom, ( ( hAPP(_u3646, _u3647) != hAPP(c_Option_Ooption_OSome(_u3648), _u3649)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3650, tc_Option_Ooption(_u3648)), _u3646), _u3647), hAPP(c_Option_Ooption_OSome(_u3648), _u3649)) = _u3646) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_map__upd__eqD1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_map__upd__eqD1-1, axiom, ( ( _u3655 = _u3657) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3651, tc_Option_Ooption(_u3652)), _u3653), _u3654), hAPP(c_Option_Ooption_OSome(_u3652), _u3655)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3651, tc_Option_Ooption(_u3652)), _u3656), _u3654), hAPP(c_Option_Ooption_OSome(_u3652), _u3657))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u3658, _u3659, _u3660, _u3661) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3658, _u3658)), hAPP(hAPP(c_Product__Type_OPair(_u3658, _u3658), _u3662), _u3663)), _u3660)) | ( hAPP(_u3661, _u3662) = hAPP(_u3661, _u3663)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u3664, _u3665, _u3666, _u3667, _u3668, _u3669) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3664, _u3664)), hAPP(hAPP(c_Product__Type_OPair(_u3664, _u3664), _u3670), _u3671)), _u3667)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3665, _u3665)), hAPP(hAPP(c_Product__Type_OPair(_u3665, _u3665), _u3672), _u3673)), _u3668)) | ( hAPP(hAPP(_u3669, _u3670), _u3672) = hAPP(hAPP(_u3669, _u3671), _u3673)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3678, tc_fun(_u3680, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3678, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), _u3678), c_COMBC(_u3680, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_prod(_u3678, _u3680)), tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), _u3678), hAPP(c_COMBB(tc_prod(_u3678, _u3680), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool), _u3680), c_member(tc_prod(_u3678, _u3680)))), c_Product__Type_OPair(_u3678, _u3680)))), _u3682)), hAPP(hAPP(c_COMBC(_u3678, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), _u3678), c_COMBC(_u3680, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_prod(_u3678, _u3680)), tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), _u3678), hAPP(c_COMBB(tc_prod(_u3678, _u3680), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool), _u3680), c_member(tc_prod(_u3678, _u3680)))), c_Product__Type_OPair(_u3678, _u3680)))), _u3684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool)), _u3682), _u3684)) )).
% 12.21/12.37 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool)), _u3683), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3679, tc_fun(_u3681, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3679, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), _u3679), c_COMBC(_u3681, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_prod(_u3679, _u3681)), tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), _u3679), hAPP(c_COMBB(tc_prod(_u3679, _u3681), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool), _u3681), c_member(tc_prod(_u3679, _u3681)))), c_Product__Type_OPair(_u3679, _u3681)))), _u3683)), hAPP(hAPP(c_COMBC(_u3679, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), _u3679), c_COMBC(_u3681, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_prod(_u3679, _u3681)), tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), _u3679), hAPP(c_COMBB(tc_prod(_u3679, _u3681), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool), _u3681), c_member(tc_prod(_u3679, _u3681)))), c_Product__Type_OPair(_u3679, _u3681)))), _u3685))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3692, tc_fun(_u3694, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3692, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), _u3692), c_COMBC(_u3694, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_prod(_u3692, _u3694)), tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), _u3692), hAPP(c_COMBB(tc_prod(_u3692, _u3694), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool), _u3694), c_member(tc_prod(_u3692, _u3694)))), c_Product__Type_OPair(_u3692, _u3694)))), _u3696)), hAPP(hAPP(c_COMBC(_u3692, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), _u3692), c_COMBC(_u3694, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_prod(_u3692, _u3694)), tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), _u3692), hAPP(c_COMBB(tc_prod(_u3692, _u3694), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool), _u3694), c_member(tc_prod(_u3692, _u3694)))), c_Product__Type_OPair(_u3692, _u3694)))), _u3698)), _u3700), _u3702)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3692, _u3694)), hAPP(hAPP(c_Product__Type_OPair(_u3692, _u3694), _u3700), _u3702)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool)), _u3696), _u3698))) )).
% 12.21/12.37 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3693, _u3695)), hAPP(hAPP(c_Product__Type_OPair(_u3693, _u3695), _u3701), _u3703)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool)), _u3697), _u3699))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3693, tc_fun(_u3695, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3693, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), _u3693), c_COMBC(_u3695, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_prod(_u3693, _u3695)), tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), _u3693), hAPP(c_COMBB(tc_prod(_u3693, _u3695), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool), _u3695), c_member(tc_prod(_u3693, _u3695)))), c_Product__Type_OPair(_u3693, _u3695)))), _u3697)), hAPP(hAPP(c_COMBC(_u3693, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), _u3693), c_COMBC(_u3695, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_prod(_u3693, _u3695)), tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), _u3693), hAPP(c_COMBB(tc_prod(_u3693, _u3695), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool), _u3695), c_member(tc_prod(_u3693, _u3695)))), c_Product__Type_OPair(_u3693, _u3695)))), _u3699)), _u3701), _u3703)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u3704) | ~class_Enum_Oenum(_u3705) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u3705, _u3704)), _u3706)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3705), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_HOL_Obool), tc_HOL_Obool, _u3705), c_Enum_Oenum__class_Oenum__all(_u3704)), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_prod(_u3705, _u3704)), tc_fun(_u3704, tc_HOL_Obool), _u3705), hAPP(c_COMBB(tc_prod(_u3705, _u3704), tc_HOL_Obool, _u3704), _u3706)), c_Product__Type_OPair(_u3705, _u3704))))) )).
% 12.21/12.37 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u3704) | ~class_Enum_Oenum(_u3705) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3705), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_HOL_Obool), tc_HOL_Obool, _u3705), c_Enum_Oenum__class_Oenum__all(_u3704)), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_prod(_u3705, _u3704)), tc_fun(_u3704, tc_HOL_Obool), _u3705), hAPP(c_COMBB(tc_prod(_u3705, _u3704), tc_HOL_Obool, _u3704), _u3706)), c_Product__Type_OPair(_u3705, _u3704))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u3705, _u3704)), _u3706)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u3707) | ~class_Enum_Oenum(_u3708) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u3708, _u3707)), _u3709)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3708), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_HOL_Obool), tc_HOL_Obool, _u3708), c_Enum_Oenum__class_Oenum__ex(_u3707)), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_prod(_u3708, _u3707)), tc_fun(_u3707, tc_HOL_Obool), _u3708), hAPP(c_COMBB(tc_prod(_u3708, _u3707), tc_HOL_Obool, _u3707), _u3709)), c_Product__Type_OPair(_u3708, _u3707))))) )).
% 12.21/12.37 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u3707) | ~class_Enum_Oenum(_u3708) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3708), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_HOL_Obool), tc_HOL_Obool, _u3708), c_Enum_Oenum__class_Oenum__ex(_u3707)), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_prod(_u3708, _u3707)), tc_fun(_u3707, tc_HOL_Obool), _u3708), hAPP(c_COMBB(tc_prod(_u3708, _u3707), tc_HOL_Obool, _u3707), _u3709)), c_Product__Type_OPair(_u3708, _u3707))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u3708, _u3707)), _u3709)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_domI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_domI-1, axiom, ( ( hAPP(_u3710, _u3711) != hAPP(c_Option_Ooption_OSome(_u3712), _u3713)) | hBOOL(hAPP(hAPP(c_member(_u3714), _u3711), c_Map_Odom(_u3714, _u3712, _u3710))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__map__upd ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__map__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3715), _u3716), _u3717)) | ( hAPP(c_Set_Oimage(_u3715, tc_Option_Ooption(_u3718), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3715, tc_Option_Ooption(_u3718)), _u3719), _u3716), hAPP(c_Option_Ooption_OSome(_u3718), _u3720))), _u3717) = hAPP(c_Set_Oimage(_u3715, tc_Option_Ooption(_u3718), _u3719), _u3717)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_insert__dom ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_insert__dom-1, axiom, ( ( hAPP(_u3721, _u3722) != hAPP(c_Option_Ooption_OSome(_u3723), _u3724)) | ( hAPP(hAPP(c_Set_Oinsert(_u3725), _u3722), c_Map_Odom(_u3725, _u3723, _u3721)) = c_Map_Odom(_u3725, _u3723, _u3721)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3726), _u3727), _u3728)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3726, _u3729)), hAPP(hAPP(c_Product__Type_OPair(_u3726, _u3729), _u3727), _u3730)), _u3731)) | hBOOL(hAPP(hAPP(c_member(_u3729), _u3730), hAPP(c_Relation_OImage(_u3726, _u3729, _u3731), _u3728))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3739), _u3741), hAPP(c_Relation_OImage(_u3743, _u3739, _u3745), _u3747))) | hBOOL(hAPP(hAPP(c_member(_u3743), skolem62(_u3747, _u3745, _u3743, _u3741, _u3739)), _u3747)) )).
% 12.21/12.37 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3739), _u3741), hAPP(c_Relation_OImage(_u3743, _u3739, _u3745), _u3747))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3743, _u3739)), hAPP(hAPP(c_Product__Type_OPair(_u3743, _u3739), skolem62(_u3747, _u3745, _u3743, _u3741, _u3739)), _u3741)), _u3745)) )).
% 12.21/12.37 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3744), _u3733), _u3748)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3744, _u3740)), hAPP(hAPP(c_Product__Type_OPair(_u3744, _u3740), _u3733), _u3742)), _u3746)) | hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Relation_OImage(_u3744, _u3740, _u3746), _u3748))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_dom__const ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_dom__const-1, axiom, ( ( c_Map_Odom(_u3749, _u3750, hAPP(hAPP(c_COMBB(_u3750, tc_Option_Ooption(_u3750), _u3749), c_Option_Ooption_OSome(_u3750)), _u3751)) = c_Orderings_Otop__class_Otop(tc_fun(_u3749, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_map__upd__nonempty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_map__upd__nonempty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3752, tc_Option_Ooption(_u3753)), _u3754), _u3755), hAPP(c_Option_Ooption_OSome(_u3753), _u3756)) != hAPP(c_COMBK(tc_Option_Ooption(_u3753), _u3752), c_Option_Ooption_ONone(_u3753))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_enum__all__option__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_enum__all__option__def-1, axiom, ( ~class_Enum_Oenum(_u3757) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3757)), _u3758)) | hBOOL(hAPP(_u3758, c_Option_Ooption_ONone(_u3757))) )).
% 12.21/12.37 cnf(fact_enum__all__option__def-2, axiom, ( ~class_Enum_Oenum(_u3757) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3757)), _u3758)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3757), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3757), tc_HOL_Obool, _u3757), _u3758), c_Option_Ooption_OSome(_u3757)))) )).
% 12.21/12.37 cnf(fact_enum__all__option__def-3, axiom, ( ~class_Enum_Oenum(_u3757) | ~hBOOL(hAPP(_u3758, c_Option_Ooption_ONone(_u3757))) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3757), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3757), tc_HOL_Obool, _u3757), _u3758), c_Option_Ooption_OSome(_u3757)))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3757)), _u3758)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_enum__ex__option__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_enum__ex__option__def-1, axiom, ( ~class_Enum_Oenum(_u3759) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3759)), _u3760)) | hBOOL(hAPP(_u3760, c_Option_Ooption_ONone(_u3759))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3759), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3759), tc_HOL_Obool, _u3759), _u3760), c_Option_Ooption_OSome(_u3759)))) )).
% 12.21/12.37 cnf(fact_enum__ex__option__def-2, axiom, ( ~class_Enum_Oenum(_u3759) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3759)), _u3760)) | ~hBOOL(hAPP(_u3760, c_Option_Ooption_ONone(_u3759))) )).
% 12.21/12.37 cnf(fact_enum__ex__option__def-3, axiom, ( ~class_Enum_Oenum(_u3759) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3759)), _u3760)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3759), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3759), tc_HOL_Obool, _u3759), _u3760), c_Option_Ooption_OSome(_u3759)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3766), _u3768), hAPP(c_Relation_OImage(_u3770, _u3766, _u3772), hAPP(hAPP(c_Set_Oinsert(_u3770), _u3774), c_Orderings_Obot__class_Obot(tc_fun(_u3770, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3770, _u3766)), hAPP(hAPP(c_Product__Type_OPair(_u3770, _u3766), _u3774), _u3768)), _u3772)) )).
% 12.21/12.37 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3771, _u3767)), hAPP(hAPP(c_Product__Type_OPair(_u3771, _u3767), _u3775), _u3769)), _u3773)) | hBOOL(hAPP(hAPP(c_member(_u3767), _u3769), hAPP(c_Relation_OImage(_u3771, _u3767, _u3773), hAPP(hAPP(c_Set_Oinsert(_u3771), _u3775), c_Orderings_Obot__class_Obot(tc_fun(_u3771, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3776, _u3777, _u3778) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3776, _u3776)), hAPP(hAPP(c_Product__Type_OPair(_u3776, _u3776), _u3779), _u3780)), _u3778)) | ( hAPP(c_Relation_OImage(_u3776, _u3776, _u3778), hAPP(hAPP(c_Set_Oinsert(_u3776), _u3779), c_Orderings_Obot__class_Obot(tc_fun(_u3776, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u3776, _u3776, _u3778), hAPP(hAPP(c_Set_Oinsert(_u3776), _u3780), c_Orderings_Obot__class_Obot(tc_fun(_u3776, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3781, _u3782, _u3783) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3781, tc_HOL_Obool)), _u3784), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3781), _u3782), _u3783))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3781, tc_HOL_Obool)), _u3785), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3781), _u3782), _u3783))) | ~hBOOL(hAPP(hAPP(c_member(_u3781), _u3786), _u3784)) | ~hBOOL(hAPP(hAPP(c_member(_u3781), _u3787), _u3785)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3781, _u3781)), hAPP(hAPP(c_Product__Type_OPair(_u3781, _u3781), _u3786), _u3787)), _u3783)) | ( _u3784 = _u3785) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3788, _u3789, _u3790) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3791), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3792), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3793), _u3791)) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3794), _u3792)) | ( _u3791 != _u3792) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3788, _u3788)), hAPP(hAPP(c_Product__Type_OPair(_u3788, _u3788), _u3793), _u3794)), _u3790)) )).
% 12.21/12.37 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3788, _u3789, _u3790) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3791), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3792), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3793), _u3791)) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3794), _u3792)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3788, _u3788)), hAPP(hAPP(c_Product__Type_OPair(_u3788, _u3788), _u3793), _u3794)), _u3790)) | ( _u3791 = _u3792) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u3795, _u3796, _u3797), hAPP(hAPP(c_Set_Oinsert(_u3795), _u3798), c_Orderings_Obot__class_Obot(tc_fun(_u3795, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u3796), hAPP(hAPP(c_COMBC(_u3796, tc_fun(tc_prod(_u3795, _u3796), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u3795, _u3796), tc_fun(tc_fun(tc_prod(_u3795, _u3796), tc_HOL_Obool), tc_HOL_Obool), _u3796), c_member(tc_prod(_u3795, _u3796))), hAPP(c_Product__Type_OPair(_u3795, _u3796), _u3798))), _u3797))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) | ( hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3802), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3803), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool))))) )).
% 12.21/12.37 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3802), _u3800)) )).
% 12.21/12.37 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3803), _u3800)) )).
% 12.21/12.37 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ( hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3802), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3803), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u3799), _u3802), _u3800)) | ~hBOOL(hAPP(hAPP(c_member(_u3799), _u3803), _u3800)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3804, _u3805, _u3806) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3807), _u3805)) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3808), _u3805)) | ( hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3807), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3808), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3804, _u3804)), hAPP(hAPP(c_Product__Type_OPair(_u3804, _u3804), _u3807), _u3808)), _u3806)) )).
% 12.21/12.37 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3804, _u3805, _u3806) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3807), _u3805)) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3808), _u3805)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3804, _u3804)), hAPP(hAPP(c_Product__Type_OPair(_u3804, _u3804), _u3807), _u3808)), _u3806)) | ( hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3807), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3808), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u3809, _u3809, _u3810), hAPP(hAPP(c_Set_Oinsert(_u3809), _u3811), c_Orderings_Obot__class_Obot(tc_fun(_u3809, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u3809, _u3809, _u3810), hAPP(hAPP(c_Set_Oinsert(_u3809), _u3812), c_Orderings_Obot__class_Obot(tc_fun(_u3809, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u3809, _u3813, _u3810) | ~hBOOL(hAPP(hAPP(c_member(_u3809), _u3812), _u3813)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3809, _u3809)), hAPP(hAPP(c_Product__Type_OPair(_u3809, _u3809), _u3811), _u3812)), _u3810)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u3818, _u3820) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3818, _u3818)), hAPP(hAPP(c_Product__Type_OPair(_u3818, _u3818), _u3814), _u3814)), _u3820)) )).
% 12.21/12.37 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3819, _u3819)), hAPP(hAPP(c_Product__Type_OPair(_u3819, _u3819), skolem63(_u3821, _u3819)), skolem63(_u3821, _u3819))), _u3821)) | c_Nitpick_Orefl_H(_u3819, _u3821) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | hBOOL(hAPP(hAPP(c_member(_u3824), skolem64(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)), _u3825)) )).
% 12.21/12.37 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | hBOOL(hAPP(hAPP(c_member(_u3824), skolem65(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)), _u3825)) )).
% 12.21/12.37 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | ( hAPP(_u3828, skolem64(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)) = hAPP(_u3828, skolem65(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824))) )).
% 12.21/12.37 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3824, _u3824)), hAPP(hAPP(c_Product__Type_OPair(_u3824, _u3824), skolem64(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)), skolem65(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824))), _u3826)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_UNIV__option__conv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_UNIV__option__conv-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u3831), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u3831)), c_Option_Ooption_ONone(_u3831)), hAPP(c_Set_Oimage(_u3831, tc_Option_Ooption(_u3831), c_Option_Ooption_OSome(_u3831)), c_Orderings_Otop__class_Otop(tc_fun(_u3831, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u3836, _u3838) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3836, _u3836)), hAPP(hAPP(c_Product__Type_OPair(_u3836, _u3836), _u3832), _u3832)), _u3838)) )).
% 12.21/12.37 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u3837, _u3837)), hAPP(hAPP(c_Product__Type_OPair(_u3837, _u3837), skolem66(_u3839, _u3837)), skolem66(_u3839, _u3837))), _u3839)) | c_Relation_Oirrefl(_u3837, _u3839) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ran__map__upd ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ran__map__upd-1, axiom, ( ( hAPP(_u3840, _u3841) != c_Option_Ooption_ONone(_u3842)) | ( c_Map_Oran(_u3843, _u3842, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3843, tc_Option_Ooption(_u3842)), _u3840), _u3841), hAPP(c_Option_Ooption_OSome(_u3842), _u3844))) = hAPP(hAPP(c_Set_Oinsert(_u3842), _u3844), c_Map_Oran(_u3843, _u3842, _u3840))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Osimps_I2_J-1, axiom, ( ( c_Option_Ooption_ONone(_u3845) != hAPP(c_Option_Ooption_OSome(_u3845), _u3846)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Osimps_I3_J-1, axiom, ( ( hAPP(c_Option_Ooption_OSome(_u3847), _u3848) != c_Option_Ooption_ONone(_u3847)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__Some__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__Some__eq-1, axiom, ( ( _u3853 = hAPP(c_Option_Ooption_OSome(_u3855), skolem67(_u3855, _u3853))) | ( _u3853 = c_Option_Ooption_ONone(_u3855)) )).
% 12.21/12.37 cnf(fact_not__Some__eq-2, axiom, ( ( _u3854 != c_Option_Ooption_ONone(_u3856)) | ( _u3854 != hAPP(c_Option_Ooption_OSome(_u3856), _u3850)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__None__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__None__eq-1, axiom, ( ( _u3861 = c_Option_Ooption_ONone(_u3863)) | ( _u3861 = hAPP(c_Option_Ooption_OSome(_u3863), skolem68(_u3863, _u3861))) )).
% 12.21/12.37 cnf(fact_not__None__eq-2, axiom, ( ( _u3862 != hAPP(c_Option_Ooption_OSome(_u3864), _u3858)) | ( _u3862 != c_Option_Ooption_ONone(_u3864)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3869, tc_fun(_u3870, tc_HOL_Obool))), _u3868), _u3865), _u3866), _u3867)) | ~hBOOL(hAPP(hAPP(_u3865, _u3866), _u3867)) )).
% 12.21/12.37 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3869, tc_fun(_u3870, tc_HOL_Obool))), _u3868), _u3865), _u3866), _u3867)) | ~hBOOL(hAPP(hAPP(_u3868, _u3866), _u3867)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u3873, _u3875), _u3876)) | hBOOL(hAPP(hAPP(_u3874, _u3875), _u3876)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3871, tc_fun(_u3872, tc_HOL_Obool))), _u3873), _u3874), _u3875), _u3876)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3877, tc_fun(_u3878, tc_HOL_Obool))), _u3879), _u3880), _u3881), _u3882)) | hBOOL(hAPP(hAPP(_u3879, _u3881), _u3882)) )).
% 12.21/12.37 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3877, tc_fun(_u3878, tc_HOL_Obool))), _u3879), _u3880), _u3881), _u3882)) | hBOOL(hAPP(hAPP(_u3880, _u3881), _u3882)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u3883, _u3884), _u3885)) | ~hBOOL(hAPP(hAPP(_u3886, _u3884), _u3885)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3887, tc_fun(_u3888, tc_HOL_Obool))), _u3883), _u3886), _u3884), _u3885)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u3889, tc_fun(_u3890, tc_HOL_Obool))), _u3891), _u3892)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3902, tc_fun(_u3904, tc_fun(_u3906, tc_HOL_Obool))), _u3908), _u3910), _u3912), _u3914)) | hBOOL(hAPP(hAPP(c_member(_u3902), skolem69(_u3914, _u3912, _u3910, _u3908, _u3906, _u3904, _u3902)), _u3908)) )).
% 12.21/12.37 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3902, tc_fun(_u3904, tc_fun(_u3906, tc_HOL_Obool))), _u3908), _u3910), _u3912), _u3914)) | hBOOL(hAPP(hAPP(hAPP(_u3910, skolem69(_u3914, _u3912, _u3910, _u3908, _u3906, _u3904, _u3902)), _u3912), _u3914)) )).
% 12.21/12.37 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3903), _u3894), _u3909)) | ~hBOOL(hAPP(hAPP(hAPP(_u3911, _u3894), _u3913), _u3915)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3903, tc_fun(_u3905, tc_fun(_u3907, tc_HOL_Obool))), _u3909), _u3911), _u3913), _u3915)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u3918, _u3920), _u3921)) | hBOOL(hAPP(hAPP(_u3919, _u3920), _u3921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3916, tc_fun(_u3917, tc_HOL_Obool))), _u3918), _u3919)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u3922, _u3923), _u3924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3925, tc_fun(_u3926, tc_HOL_Obool))), _u3922), _u3927)) | hBOOL(hAPP(hAPP(_u3927, _u3923), _u3924)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u3928, _u3929), _u3930)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3931, tc_fun(_u3932, tc_HOL_Obool))), _u3933), _u3928), _u3929), _u3930)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u3934, _u3935), _u3936)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3937, tc_fun(_u3938, tc_HOL_Obool))), _u3934), _u3939), _u3935), _u3936)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u3943, _u3944), _u3945)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3940, tc_fun(_u3941, tc_HOL_Obool))), _u3942), _u3943), _u3944), _u3945)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u3948, _u3950), _u3951)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3946, tc_fun(_u3947, tc_HOL_Obool))), _u3948), _u3949), _u3950), _u3951)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__Some ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__Some-1, axiom, ( c_Fun_Oinj__on(_u3952, tc_Option_Ooption(_u3952), c_Option_Ooption_OSome(_u3952), _u3953) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Oinject ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Oinject-1, axiom, ( ( _u3959 = _u3961) | ( hAPP(c_Option_Ooption_OSome(_u3957), _u3959) != hAPP(c_Option_Ooption_OSome(_u3957), _u3961)) )).
% 12.21/12.37 cnf(fact_option_Oinject-2, axiom, ( ( _u3960 != _u3962) | ( hAPP(c_Option_Ooption_OSome(_u3958), _u3960) = hAPP(c_Option_Ooption_OSome(_u3958), _u3962)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ranI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ranI-1, axiom, ( ( hAPP(_u3963, _u3964) != hAPP(c_Option_Ooption_OSome(_u3965), _u3966)) | hBOOL(hAPP(hAPP(c_member(_u3965), _u3966), c_Map_Oran(_u3967, _u3965, _u3963))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ran__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ran__empty-1, axiom, ( ( c_Map_Oran(_u3968, _u3969, hAPP(c_COMBK(tc_Option_Ooption(_u3969), _u3968), c_Option_Ooption_ONone(_u3969))) = c_Orderings_Obot__class_Obot(tc_fun(_u3969, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Option_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Option_Oset_Osimps_I2_J-1, axiom, ( ( c_Option_Oset(_u3970, hAPP(c_Option_Ooption_OSome(_u3970), _u3971)) = hAPP(hAPP(c_Set_Oinsert(_u3970), _u3971), c_Orderings_Obot__class_Obot(tc_fun(_u3970, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__by__empty-1, axiom, ( ( _u3972 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3973, _u3973), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u3973, _u3973), tc_HOL_Obool)), _u3972), _u3974)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3977, c_Orderings_Otop__class_Otop(tc_fun(_u3977, tc_HOL_Obool)), _u3979) | c_Equiv__Relations_Oequivp(_u3977, hAPP(hAPP(c_COMBC(_u3977, tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_fun(_u3977, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3977, tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_fun(_u3977, tc_HOL_Obool)), _u3977), c_COMBC(_u3977, tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3977, tc_prod(_u3977, _u3977)), tc_fun(_u3977, tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool)), _u3977), hAPP(c_COMBB(tc_prod(_u3977, _u3977), tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool), _u3977), c_member(tc_prod(_u3977, _u3977)))), c_Product__Type_OPair(_u3977, _u3977)))), _u3979)) )).
% 12.21/12.37 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u3978, hAPP(hAPP(c_COMBC(_u3978, tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_fun(_u3978, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3978, tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_fun(_u3978, tc_HOL_Obool)), _u3978), c_COMBC(_u3978, tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3978, tc_prod(_u3978, _u3978)), tc_fun(_u3978, tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool)), _u3978), hAPP(c_COMBB(tc_prod(_u3978, _u3978), tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool), _u3978), c_member(tc_prod(_u3978, _u3978)))), c_Product__Type_OPair(_u3978, _u3978)))), _u3980)) | c_Equiv__Relations_Oequiv(_u3978, c_Orderings_Otop__class_Otop(tc_fun(_u3978, tc_HOL_Obool)), _u3980) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3982), _u3983), hAPP(c_Relation_OImage(_u3984, _u3982, _u3985), _u3986))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3984, _u3982)), hAPP(hAPP(c_Product__Type_OPair(_u3984, _u3982), skolem70(_u3986, _u3985, _u3984, _u3983, _u3982)), _u3983)), _u3985)) )).
% 12.21/12.37 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3982), _u3983), hAPP(c_Relation_OImage(_u3984, _u3982, _u3985), _u3986))) | hBOOL(hAPP(hAPP(c_member(_u3984), skolem70(_u3986, _u3985, _u3984, _u3983, _u3982)), _u3986)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u3987), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u3987, _u3987)), hAPP(hAPP(c_Product__Type_OPair(_u3987, _u3987), _u3988), _u3989)), _u3990)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3987, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3987), _u3988), hAPP(hAPP(c_Set_Oinsert(_u3987), _u3989), c_Orderings_Obot__class_Obot(tc_fun(_u3987, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u3987), _u3990))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ran__restrictD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ran__restrictD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3992), _u3993), c_Map_Oran(_u3994, _u3992, c_Map_Orestrict__map(_u3994, _u3992, _u3995, _u3996)))) | hBOOL(hAPP(hAPP(c_member(_u3994), skolem71(_u3996, _u3995, _u3994, _u3993, _u3992)), _u3996)) )).
% 12.21/12.37 cnf(fact_ran__restrictD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3992), _u3993), c_Map_Oran(_u3994, _u3992, c_Map_Orestrict__map(_u3994, _u3992, _u3995, _u3996)))) | ( hAPP(_u3995, skolem71(_u3996, _u3995, _u3994, _u3993, _u3992)) = hAPP(c_Option_Ooption_OSome(_u3992), _u3993)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u3997, _u3998) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3997, tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool)), _u3998), hAPP(hAPP(c_COMBC(_u3997, tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool), tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u3997, _u3997), tc_fun(tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool), tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool)), _u3997), c_Set_Oinsert(tc_prod(_u3997, _u3997))), hAPP(hAPP(c_COMBS(_u3997, _u3997, tc_prod(_u3997, _u3997)), c_Product__Type_OPair(_u3997, _u3997)), c_COMBI(_u3997)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_set__empty__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_set__empty__eq-1, axiom, ( ( c_Option_Oset(_u4001, _u4003) != c_Orderings_Obot__class_Obot(tc_fun(_u4001, tc_HOL_Obool))) | ( _u4003 = c_Option_Ooption_ONone(_u4001)) )).
% 12.21/12.37 cnf(fact_set__empty__eq-2, axiom, ( ( _u4004 != c_Option_Ooption_ONone(_u4002)) | ( c_Option_Oset(_u4002, _u4004) = c_Orderings_Obot__class_Obot(tc_fun(_u4002, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Option_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Option_Oset_Osimps_I1_J-1, axiom, ( ( c_Option_Oset(_u4005, c_Option_Ooption_ONone(_u4005)) = c_Orderings_Obot__class_Obot(tc_fun(_u4005, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u4006, c_fequal) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u4021, _u4023) | ~hBOOL(hAPP(hAPP(_u4023, _u4015), _u4013)) | ( hAPP(_u4023, _u4015) = hAPP(_u4023, _u4013)) )).
% 12.21/12.37 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u4021, _u4023) | ( hAPP(_u4023, _u4016) != hAPP(_u4023, _u4014)) | hBOOL(hAPP(hAPP(_u4023, _u4016), _u4014)) )).
% 12.21/12.37 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | hBOOL(hAPP(hAPP(_u4024, skolem72(_u4024)), skolem73(_u4024))) | ( hAPP(_u4024, skolem74(_u4024)) = hAPP(_u4024, skolem75(_u4024))) )).
% 12.21/12.37 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | hBOOL(hAPP(hAPP(_u4024, skolem72(_u4024)), skolem73(_u4024))) | ~hBOOL(hAPP(hAPP(_u4024, skolem74(_u4024)), skolem75(_u4024))) )).
% 12.21/12.37 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | ( hAPP(_u4024, skolem72(_u4024)) != hAPP(_u4024, skolem73(_u4024))) | ( hAPP(_u4024, skolem74(_u4024)) = hAPP(_u4024, skolem75(_u4024))) )).
% 12.21/12.37 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | ( hAPP(_u4024, skolem72(_u4024)) != hAPP(_u4024, skolem73(_u4024))) | ~hBOOL(hAPP(hAPP(_u4024, skolem74(_u4024)), skolem75(_u4024))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u4026, _u4027), _u4027)) | ~c_Equiv__Relations_Oequivp(_u4025, _u4026) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u4029, _u4030), _u4031)) | hBOOL(hAPP(hAPP(_u4029, _u4031), _u4030)) | ~c_Equiv__Relations_Oequivp(_u4028, _u4029) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u4033, _u4034), _u4035)) | ~hBOOL(hAPP(hAPP(_u4033, _u4035), _u4036)) | hBOOL(hAPP(hAPP(_u4033, _u4034), _u4036)) | ~c_Equiv__Relations_Oequivp(_u4032, _u4033) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u4037, c_Orderings_Obot__class_Obot(tc_fun(_u4037, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u4037, _u4037), tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u4038, _u4038, c_Relation_OId__on(_u4038, _u4039)), _u4040) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4038, tc_HOL_Obool)), _u4039), _u4040)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u4041), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u4041, _u4041), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4041, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u4042, _u4042), tc_HOL_Obool)), _u4043), _u4044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4042, tc_HOL_Obool)), hAPP(c_Relation_OField(_u4042), _u4043)), hAPP(c_Relation_OField(_u4042), _u4044))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u4045, hAPP(_u4046, _u4047)) != hAPP(_u4048, hAPP(_u4049, _u4050))) | ( hAPP(hAPP(c_Fun_Ocomp(_u4051, _u4052, _u4053, _u4045), _u4046), _u4047) = hAPP(hAPP(c_Fun_Ocomp(_u4054, _u4052, _u4055, _u4048), _u4049), _u4050)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u4056), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u4056, _u4056), tc_HOL_Obool)), _u4057), _u4058)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4056, tc_HOL_Obool)), hAPP(c_Relation_OField(_u4056), _u4057)), hAPP(c_Relation_OField(_u4056), _u4058))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4063, _u4063)), hAPP(hAPP(c_Product__Type_OPair(_u4063, _u4063), _u4065), _u4067)), c_Relation_OId__on(_u4063, _u4069))) | ( _u4065 = _u4067) )).
% 12.21/12.37 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4063, _u4063)), hAPP(hAPP(c_Product__Type_OPair(_u4063, _u4063), _u4065), _u4067)), c_Relation_OId__on(_u4063, _u4069))) | hBOOL(hAPP(hAPP(c_member(_u4063), _u4065), _u4069)) )).
% 12.21/12.37 cnf(fact_Id__on__iff-3, axiom, ( ( _u4066 != _u4068) | ~hBOOL(hAPP(hAPP(c_member(_u4064), _u4066), _u4070)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4064, _u4064)), hAPP(hAPP(c_Product__Type_OPair(_u4064, _u4064), _u4066), _u4068)), c_Relation_OId__on(_u4064, _u4070))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Id__on__eqI-1, axiom, ( ( _u4071 != _u4072) | ~hBOOL(hAPP(hAPP(c_member(_u4073), _u4071), _u4074)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4073, _u4073)), hAPP(hAPP(c_Product__Type_OPair(_u4073, _u4073), _u4071), _u4072)), c_Relation_OId__on(_u4073, _u4074))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_elem__set ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_elem__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4078), _u4080), c_Option_Oset(_u4078, _u4082))) | ( _u4082 = hAPP(c_Option_Ooption_OSome(_u4078), _u4080)) )).
% 12.21/12.37 cnf(fact_elem__set-2, axiom, ( ( _u4083 != hAPP(c_Option_Ooption_OSome(_u4079), _u4081)) | hBOOL(hAPP(hAPP(c_member(_u4079), _u4081), c_Option_Oset(_u4079, _u4083))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u4089, _u4091, _u4093), _u4095), _u4097)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4089, _u4091)), hAPP(hAPP(c_Product__Type_OPair(_u4089, _u4091), _u4095), _u4097)), _u4093)) )).
% 12.21/12.37 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4090, _u4092)), hAPP(hAPP(c_Product__Type_OPair(_u4090, _u4092), _u4096), _u4098)), _u4094)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u4090, _u4092, _u4094), _u4096), _u4098)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4100, _u4100)), _u4101), c_Relation_OId__on(_u4100, _u4102))) | hBOOL(hAPP(hAPP(c_member(_u4100), skolem76(_u4102, _u4101, _u4100)), _u4102)) )).
% 12.21/12.37 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4100, _u4100)), _u4101), c_Relation_OId__on(_u4100, _u4102))) | ( _u4101 = hAPP(hAPP(c_Product__Type_OPair(_u4100, _u4100), skolem76(_u4102, _u4101, _u4100)), skolem76(_u4102, _u4101, _u4100))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_restrict__upd__same ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_restrict__upd__same-1, axiom, ( ( c_Map_Orestrict__map(_u4103, _u4104, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u4103, tc_Option_Ooption(_u4104)), _u4105), _u4106), hAPP(c_Option_Ooption_OSome(_u4104), _u4107)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4103, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4103), _u4106), c_Orderings_Obot__class_Obot(tc_fun(_u4103, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u4103, _u4104, _u4105, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4103, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4103), _u4106), c_Orderings_Obot__class_Obot(tc_fun(_u4103, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_restrict__complement__singleton__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_restrict__complement__singleton__eq-1, axiom, ( ( c_Map_Orestrict__map(_u4108, _u4109, _u4110, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4108, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4108), _u4111), c_Orderings_Obot__class_Obot(tc_fun(_u4108, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u4108, tc_Option_Ooption(_u4109)), _u4110), _u4111), c_Option_Ooption_ONone(_u4109))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4112) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4112, _u4112, c_Groups_Otimes__class_Otimes(_u4112), _u4113, _u4114), _u4115)) | ~hBOOL(hAPP(hAPP(c_member(_u4112), _u4116), _u4114)) | hBOOL(hAPP(hAPP(c_member(_u4112), _u4113), _u4114)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4112, _u4112, c_Groups_Otimes__class_Otimes(_u4112), _u4116, hAPP(hAPP(c_Set_Oinsert(_u4112), _u4113), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4112, tc_HOL_Obool)), _u4114), hAPP(hAPP(c_Set_Oinsert(_u4112), _u4116), c_Orderings_Obot__class_Obot(tc_fun(_u4112, tc_HOL_Obool)))))), _u4115)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__range__updI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__range__updI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4117)), hAPP(c_Set_Oimage(_u4118, tc_Option_Ooption(_u4117), _u4119), c_Orderings_Otop__class_Otop(tc_fun(_u4118, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4117)), hAPP(c_Set_Oimage(_u4118, tc_Option_Ooption(_u4117), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u4118, tc_Option_Ooption(_u4117)), _u4119), _u4120), hAPP(c_Option_Ooption_OSome(_u4117), _u4121))), c_Orderings_Otop__class_Otop(tc_fun(_u4118, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Osimps_I5_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Osimps_I5_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u4122, _u4123, _u4124, _u4125), hAPP(c_Option_Ooption_OSome(_u4123), _u4126)) = hAPP(_u4125, _u4126)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Orecs_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Orecs_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u4127, _u4128, _u4129, _u4130, hAPP(c_Option_Ooption_OSome(_u4128), _u4131)) = hAPP(_u4130, _u4131)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4132), c_Orderings_Obot__class_Obot(tc_fun(_u4132, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4133), _u4134)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4133), hAPP(hAPP(c_Set_Oinsert(_u4133), _u4135), _u4134))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4136), _u4137)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4138), hAPP(c_Set_Oimage(_u4136, _u4138, _u4139), _u4137))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4140, tc_HOL_Obool)), _u4141), _u4142))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), _u4141)) )).
% 12.21/12.37 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4140, tc_HOL_Obool)), _u4141), _u4142))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), _u4142)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4143), _u4144)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4143), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4143, tc_HOL_Obool)), _u4144), _u4145))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4146) | c_Fun_Oinj__on(_u4146, _u4146, c_Groups_Ouminus__class_Ouminus(_u4146), _u4147) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), _u4150)) | hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4148, tc_HOL_Obool)), _u4150))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), hAPP(hAPP(c_COMBS(_u4151, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4151), c_fconj), _u4152)), _u4153)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), _u4152))) )).
% 12.21/12.37 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), hAPP(hAPP(c_COMBS(_u4151, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4151), c_fconj), _u4152)), _u4153)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), _u4153))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4154), _u4155)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4154, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u4154, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u4154, tc_HOL_Obool), tc_fun(_u4154, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u4154, tc_HOL_Obool))), _u4155)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4158, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4158), _u4160))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4158), _u4160)) )).
% 12.21/12.37 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4159), _u4161)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4159, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4159), _u4161))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u4162) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4162), _u4163)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u4164) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4164), _u4165)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4166) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), _u4167), _u4168)), _u4169) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), _u4167), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), _u4168), _u4169))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u4170) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4171) != hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4172)) | ( _u4171 = _u4172) )).
% 12.21/12.37 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u4170) | ( _u4171 != _u4172) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4171) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4172)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u4173) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4174) != _u4175) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4175) = _u4174) )).
% 12.21/12.37 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u4173) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4175) != _u4174) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4174) = _u4175) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u4176) | ( _u4177 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4178)) | ( _u4178 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4177)) )).
% 12.21/12.37 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u4176) | ( _u4178 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4177)) | ( _u4177 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4178)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u4179) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4179), hAPP(c_Groups_Ouminus__class_Ouminus(_u4179), _u4180)) = _u4180) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4181) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4182) != hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4183)) | ( _u4182 = _u4183) )).
% 12.21/12.37 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u4181) | ( _u4182 != _u4183) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4182) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4183)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4184), _u4185), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4184), _u4185), _u4186)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4184), _u4185), _u4186)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u4187) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4188, _u4187)), _u4189), _u4190) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4187), hAPP(_u4189, _u4190))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4191) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4191), _u4192), _u4192) = _u4192) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4193) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4193), _u4194), _u4194) = _u4194) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4195) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4195), hAPP(c_Groups_Ouminus__class_Ouminus(_u4195), _u4196)) = _u4196) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u4197) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4198, _u4197)), _u4199), _u4200) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4197), hAPP(_u4199, _u4200))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u4206 = _u4208) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4204, tc_HOL_Obool)), _u4206) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4204, tc_HOL_Obool)), _u4208)) )).
% 12.21/12.37 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u4207 != _u4209) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4205, tc_HOL_Obool)), _u4207) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4205, tc_HOL_Obool)), _u4209)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4210, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4210, tc_HOL_Obool)), _u4211)) = _u4211) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u4212 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u4213, _u4214), 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)), _u4215)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4213), _u4212)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4218, _u4220)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4218, _u4220), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4218), c_Orderings_Otop__class_Otop(tc_fun(_u4218, tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4218, _u4220)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4218, _u4220), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4220), c_Orderings_Otop__class_Otop(tc_fun(_u4220, tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4219), c_Orderings_Otop__class_Otop(tc_fun(_u4219, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4221), c_Orderings_Otop__class_Otop(tc_fun(_u4221, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4219, _u4221)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4219, _u4221), tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4222), c_Orderings_Otop__class_Otop(tc_fun(_u4222, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4223), c_Orderings_Otop__class_Otop(tc_fun(_u4223, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u4222, _u4223)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u4222, _u4223), tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), _u4225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4224, tc_HOL_Obool)), _u4225))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), c_Orderings_Otop__class_Otop(tc_fun(_u4224, tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), _u4225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), c_Orderings_Otop__class_Otop(tc_fun(_u4224, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4224, tc_HOL_Obool)), _u4225))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u4226, _u4226)), _u4227)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4226), hAPP(c_Relation_OField(_u4226), _u4227))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4228), _u4229), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4228), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4230)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4229))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4232)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), _u4233), _u4232)) )).
% 12.21/12.37 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u4231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), _u4233), _u4232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4232)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4233))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4234), _u4235), _u4236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4234), hAPP(c_Groups_Ouminus__class_Ouminus(_u4234), _u4236)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4234), _u4235))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4238)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4239))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), _u4239), _u4238)) )).
% 12.21/12.37 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), _u4239), _u4238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4238)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4239))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4241)), _u4242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4242)), _u4241)) )).
% 12.21/12.37 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4242)), _u4241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4241)), _u4242)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4244), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4245), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4244))) )).
% 12.21/12.37 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4245), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4244), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4245))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4247), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4248), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4247))) )).
% 12.21/12.37 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4248), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4247), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4248))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4250)), _u4251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4251)), _u4250)) )).
% 12.21/12.37 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4251)), _u4250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4250)), _u4251)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4253)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), _u4254), _u4253)) )).
% 12.21/12.37 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), _u4254), _u4253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4253)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4254))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4255), _u4256), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4255, tc_HOL_Obool)), _u4257))) | ~hBOOL(hAPP(hAPP(c_member(_u4255), _u4256), _u4257)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4258), _u4259), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4258, tc_HOL_Obool)), _u4260))) | ~hBOOL(hAPP(hAPP(c_member(_u4258), _u4259), _u4260)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4264), _u4266), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4264, tc_HOL_Obool)), _u4268))) | ~hBOOL(hAPP(hAPP(c_member(_u4264), _u4266), _u4268)) )).
% 12.21/12.37 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4265), _u4267), _u4269)) | hBOOL(hAPP(hAPP(c_member(_u4265), _u4267), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4265, tc_HOL_Obool)), _u4269))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u4270) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4270), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4270), _u4271), _u4272)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4270), _u4272), _u4271)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4273, tc_HOL_Obool)), _u4274), _u4275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4273, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4273, tc_HOL_Obool)), _u4275)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4273, tc_HOL_Obool)), _u4274))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4279, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4279, tc_HOL_Obool)), _u4281)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4279, tc_HOL_Obool)), _u4283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4279, tc_HOL_Obool)), _u4283), _u4281)) )).
% 12.21/12.37 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4280, tc_HOL_Obool)), _u4284), _u4282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4280, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4280, tc_HOL_Obool)), _u4282)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4280, tc_HOL_Obool)), _u4284))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4285), c_Orderings_Obot__class_Obot(tc_fun(_u4285, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4286, _u4287, _u4288), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4287, tc_HOL_Obool)), _u4289)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4286, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4286, _u4287, _u4288), _u4289))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4293), hAPP(hAPP(c_Set_Oinsert(_u4293), _u4295), _u4297))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4293), _u4297)) )).
% 12.21/12.37 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4294), _u4298)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4294), hAPP(hAPP(c_Set_Oinsert(_u4294), _u4296), _u4298))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4300), c_Orderings_Otop__class_Otop(tc_fun(_u4300, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4299, _u4300)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u4299, _u4300), tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4301, tc_HOL_Obool)), _u4302), _u4303)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4301), _u4303)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4301), _u4302)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4304), _u4305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4304, tc_HOL_Obool)), _u4306), _u4305)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4304), _u4306)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u4307) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4307), c_Orderings_Otop__class_Otop(tc_fun(_u4307, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4311, tc_HOL_Obool)), _u4313), _u4315))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), _u4313)) )).
% 12.21/12.37 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4311, tc_HOL_Obool)), _u4313), _u4315))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), _u4315)) )).
% 12.21/12.37 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4312), _u4314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4312), _u4316)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4312), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4312, tc_HOL_Obool)), _u4314), _u4316))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4317), _u4318)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4317), _u4319)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4317, tc_HOL_Obool)), _u4318), _u4319))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4320, tc_HOL_Obool)), _u4322), _u4321))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4322)) )).
% 12.21/12.37 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4322)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4320, tc_HOL_Obool)), _u4322), _u4321))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4325), _u4326)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4325, tc_fun(_u4327, tc_HOL_Obool)), _u4326), _u4328))) | ~hBOOL(hAPP(hAPP(c_member(_u4325), _u4323), _u4326)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(_u4328, _u4323))) )).
% 12.21/12.37 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4325), _u4326)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4325, tc_fun(_u4327, tc_HOL_Obool)), _u4326), _u4328))) | hBOOL(hAPP(hAPP(c_member(_u4325), skolem77(_u4328, _u4327, _u4326, _u4325)), _u4326)) )).
% 12.21/12.37 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4325), _u4326)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4325, tc_fun(_u4327, tc_HOL_Obool)), _u4326), _u4328))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(_u4328, skolem77(_u4328, _u4327, _u4326, _u4325)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4329, _u4330, _u4331, _u4332, _u4333), _u4334)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4329), _u4333)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4335) | c_Finite__Set_Ofun__left__comm__idem(_u4335, _u4335, c_Groups_Otimes__class_Otimes(_u4335)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u4336), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4336), c_fNot), _u4337)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4336, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u4336), _u4337))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4339)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4339), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4339), c_Orderings_Otop__class_Otop(tc_fun(_u4339, tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4340), c_Orderings_Otop__class_Otop(tc_fun(_u4340, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4340)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4340), tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), hAPP(hAPP(c_COMBS(_u4344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4344), c_fdisj), _u4346)), _u4348)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), _u4346))) )).
% 12.21/12.37 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), hAPP(hAPP(c_COMBS(_u4344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4344), c_fdisj), _u4346)), _u4348)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), _u4348))) )).
% 12.21/12.37 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4345), hAPP(c_Set_OCollect(_u4345), _u4347))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4345), hAPP(c_Set_OCollect(_u4345), _u4349))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4345), hAPP(c_Set_OCollect(_u4345), hAPP(hAPP(c_COMBS(_u4345, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4345), c_fdisj), _u4347)), _u4349)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4350) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4350), hAPP(c_Groups_Ouminus__class_Ouminus(_u4350), _u4351)), _u4351) = c_Orderings_Obot__class_Obot(_u4350)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4352) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4352), _u4353), hAPP(c_Groups_Ouminus__class_Ouminus(_u4352), _u4353)) = c_Orderings_Obot__class_Obot(_u4352)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4354) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4354), _u4355), _u4356) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4354), _u4355), hAPP(c_Groups_Ouminus__class_Ouminus(_u4354), _u4356))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4357) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4357), c_Orderings_Otop__class_Otop(_u4357)) = c_Orderings_Obot__class_Obot(_u4357)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4358) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4358), c_Orderings_Obot__class_Obot(_u4358)) = c_Orderings_Otop__class_Otop(_u4358)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4359) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4359), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4359), _u4360), _u4361)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4359), hAPP(c_Groups_Ouminus__class_Ouminus(_u4359), _u4360)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4359), _u4361))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4362) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4362), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4362), _u4363), _u4364)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4362), hAPP(c_Groups_Ouminus__class_Ouminus(_u4362), _u4363)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4362), _u4364))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4365) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4365), hAPP(c_Groups_Ouminus__class_Ouminus(_u4365), _u4366)), _u4366) = c_Orderings_Otop__class_Otop(_u4365)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4367) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4367), _u4368), hAPP(c_Groups_Ouminus__class_Ouminus(_u4367), _u4368)) = c_Orderings_Otop__class_Otop(_u4367)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4371, tc_HOL_Obool)), _u4373), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4371, tc_HOL_Obool)), _u4373))) | ( _u4373 = c_Orderings_Obot__class_Obot(tc_fun(_u4371, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u4374 != c_Orderings_Obot__class_Obot(tc_fun(_u4372, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4372, tc_HOL_Obool)), _u4374), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4372, tc_HOL_Obool)), _u4374))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4375, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4375, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4375, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4376, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u4376, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4376, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4377, tc_HOL_Obool)), _u4378), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4377, tc_HOL_Obool)), _u4378)) = c_Orderings_Obot__class_Obot(tc_fun(_u4377, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4379, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4379, tc_HOL_Obool)), _u4380)), _u4380) = c_Orderings_Obot__class_Obot(tc_fun(_u4379, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4381, tc_HOL_Obool)), _u4382), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4381, tc_HOL_Obool)), _u4382)) = c_Orderings_Otop__class_Otop(tc_fun(_u4381, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4383, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4383, tc_HOL_Obool)), _u4384)), _u4384) = c_Orderings_Otop__class_Otop(tc_fun(_u4383, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4385, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4385, tc_HOL_Obool)), _u4386), _u4387)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4385, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4385, tc_HOL_Obool)), _u4386)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4385, tc_HOL_Obool)), _u4387))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4388, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4388, tc_HOL_Obool)), _u4389), _u4390)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4388, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4388, tc_HOL_Obool)), _u4389)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4388, tc_HOL_Obool)), _u4390))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4391, tc_HOL_Obool)), _u4392) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4391, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4391, tc_HOL_Obool))), _u4392)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4393, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4393, tc_HOL_Obool)), _u4394), _u4395)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4393, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4393, tc_HOL_Obool)), _u4394)), _u4395)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4396, tc_HOL_Obool)), _u4397), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4396, tc_HOL_Obool)), _u4398)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4396, tc_HOL_Obool)), _u4397), _u4398)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4399, tc_HOL_Obool)), _u4400), _u4401) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4400), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4399, tc_HOL_Obool)), _u4401))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4402), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4404, tc_HOL_Obool)), _u4405), hAPP(c_Set_Oimage(_u4402, _u4404, _u4406), _u4403))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4404), _u4405)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4411, tc_HOL_Obool)), _u4413), hAPP(hAPP(c_Set_Oinsert(_u4411), _u4415), _u4417)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4411, tc_HOL_Obool)), _u4413), _u4417))) )).
% 12.21/12.37 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4412), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), _u4414), _u4418))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4412), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), _u4414), hAPP(hAPP(c_Set_Oinsert(_u4412), _u4416), _u4418)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4419), hAPP(c_Set_Oimage(_u4420, _u4419, _u4421), _u4422))) | ~c_Fun_Oinj__on(_u4420, _u4419, _u4421, _u4422) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4420), _u4422)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4423, tc_HOL_Obool)), _u4424) = hAPP(c_Set_OCollect(_u4423), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4423), c_fNot), hAPP(hAPP(c_COMBC(_u4423, tc_fun(_u4423, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4423)), _u4424)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u4425), hAPP(hAPP(c_COMBS(_u4425, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4425), c_fimplies), _u4426)), _u4427)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4425, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4425, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u4425), _u4426))), hAPP(c_Set_OCollect(_u4425), _u4427))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), _u4429))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4428), c_fNot), _u4429)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), c_Orderings_Otop__class_Otop(tc_fun(_u4428, tc_HOL_Obool)))) )).
% 12.21/12.37 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), _u4429))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), c_Orderings_Otop__class_Otop(tc_fun(_u4428, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4428), c_fNot), _u4429)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4430), hAPP(c_Set_Oimage(_u4431, _u4430, _u4432), c_Orderings_Otop__class_Otop(tc_fun(_u4431, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4433), hAPP(c_Set_Oimage(_u4431, _u4433, hAPP(hAPP(c_COMBB(_u4430, _u4433, _u4431), _u4434), _u4432)), c_Orderings_Otop__class_Otop(tc_fun(_u4431, tc_HOL_Obool))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), _u4440), _u4442) != c_Orderings_Obot__class_Obot(tc_fun(_u4438, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4438, tc_HOL_Obool)), _u4440), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4438, tc_HOL_Obool)), _u4442))) )).
% 12.21/12.37 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4439, tc_HOL_Obool)), _u4441), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4439, tc_HOL_Obool)), _u4443))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4439, tc_HOL_Obool)), _u4441), _u4443) = c_Orderings_Obot__class_Obot(tc_fun(_u4439, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u4444, _u4445, _u4446), c_Orderings_Otop__class_Otop(tc_fun(_u4444, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4445, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4445, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4445, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4444, _u4445, _u4446), _u4447))), hAPP(c_Set_Oimage(_u4444, _u4445, _u4446), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4444, tc_HOL_Obool)), _u4447)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4448) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4448, _u4448, c_Groups_Otimes__class_Otimes(_u4448), _u4449, _u4450), _u4451)) | hBOOL(hAPP(hAPP(c_member(_u4448), _u4449), _u4450)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4448, _u4448, c_Groups_Otimes__class_Otimes(_u4448), _u4452, hAPP(hAPP(c_Set_Oinsert(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4452), _u4451))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4453), _u4454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4453, tc_HOL_Obool)), _u4454), hAPP(c_Set_Oimage(_u4453, _u4453, _u4455), _u4454))) | c_Fun_Oinj__on(_u4453, _u4453, _u4455, _u4454) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4456), _u4457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4456, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4456, _u4456, _u4458), _u4457)), _u4457)) | ~c_Fun_Oinj__on(_u4456, _u4456, _u4458, _u4457) | ( hAPP(c_Set_Oimage(_u4456, _u4456, _u4458), _u4457) = _u4457) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4459), c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u4459, _u4459, _u4460), c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4459, _u4459, _u4460, c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4461), c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u4461, _u4461, _u4462, c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4461, _u4461, _u4462), c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4463), hAPP(c_Set_Ovimage(_u4463, _u4464, _u4465), _u4466))) | ( hAPP(c_Set_Oimage(_u4463, _u4464, _u4465), c_Orderings_Otop__class_Otop(tc_fun(_u4463, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4464, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4466)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ~c_Fun_Oinj__on(_u4469, _u4467, _u4470, c_Orderings_Otop__class_Otop(tc_fun(_u4469, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4469), hAPP(c_Set_Ovimage(_u4469, _u4467, _u4470), _u4468))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u4471) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4471), _u4472), _u4473) != c_Orderings_Obot__class_Obot(_u4471)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4471), _u4472), _u4473) != c_Orderings_Otop__class_Otop(_u4471)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4471), _u4472) = _u4473) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u4474, _u4475, _u4476, c_Orderings_Otop__class_Otop(tc_fun(_u4474, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4475, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4474, _u4475, _u4476), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4474, tc_HOL_Obool)), _u4477))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4475, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4474, _u4475, _u4476), _u4477)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4486), _u4488)) | ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4490), _u4488)) | ( hAPP(c_Set_Ovimage(_u4492, _u4484, hAPP(hAPP(c_COMBC(_u4492, _u4484, _u4484), hAPP(hAPP(c_COMBC(_u4492, _u4484, tc_fun(_u4484, _u4484)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4484, tc_fun(_u4484, _u4484)), _u4492), c_If(_u4484)), hAPP(hAPP(c_COMBC(_u4492, tc_fun(_u4492, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4492)), _u4494))), _u4486)), _u4490)), _u4488) = c_Orderings_Otop__class_Otop(tc_fun(_u4492, tc_HOL_Obool))) )).
% 12.21/12.37 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4486), _u4488)) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4490), _u4488)) | ( hAPP(c_Set_Ovimage(_u4492, _u4484, hAPP(hAPP(c_COMBC(_u4492, _u4484, _u4484), hAPP(hAPP(c_COMBC(_u4492, _u4484, tc_fun(_u4484, _u4484)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4484, tc_fun(_u4484, _u4484)), _u4492), c_If(_u4484)), hAPP(hAPP(c_COMBC(_u4492, tc_fun(_u4492, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4492)), _u4494))), _u4486)), _u4490)), _u4488) = _u4494) )).
% 12.21/12.37 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4485), _u4487), _u4489)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4491), _u4489)) | ( hAPP(c_Set_Ovimage(_u4493, _u4485, hAPP(hAPP(c_COMBC(_u4493, _u4485, _u4485), hAPP(hAPP(c_COMBC(_u4493, _u4485, tc_fun(_u4485, _u4485)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4485, tc_fun(_u4485, _u4485)), _u4493), c_If(_u4485)), hAPP(hAPP(c_COMBC(_u4493, tc_fun(_u4493, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4493)), _u4495))), _u4487)), _u4491)), _u4489) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4493, tc_HOL_Obool)), _u4495)) )).
% 12.21/12.37 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4485), _u4487), _u4489)) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4491), _u4489)) | ( hAPP(c_Set_Ovimage(_u4493, _u4485, hAPP(hAPP(c_COMBC(_u4493, _u4485, _u4485), hAPP(hAPP(c_COMBC(_u4493, _u4485, tc_fun(_u4485, _u4485)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4485, tc_fun(_u4485, _u4485)), _u4493), c_If(_u4485)), hAPP(hAPP(c_COMBC(_u4493, tc_fun(_u4493, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4493)), _u4495))), _u4487)), _u4491)), _u4489) = c_Orderings_Obot__class_Obot(tc_fun(_u4493, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Orecs_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Orecs_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u4496, _u4497, _u4498, _u4499, c_Option_Ooption_ONone(_u4497)) = _u4498) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_option_Osimps_I4_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_option_Osimps_I4_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u4500, _u4501, _u4502, _u4503), c_Option_Ooption_ONone(_u4501)) = _u4502) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u4504, _u4505, _u4506, _u4507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4504), _u4508)) | ~hBOOL(hAPP(hAPP(c_member(_u4504), _u4509), _u4508)) | ( hAPP(_u4507, _u4508) = hAPP(c_Fun_Ocomp(_u4505, _u4505, _u4505, hAPP(_u4507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4504, tc_HOL_Obool)), _u4508), hAPP(hAPP(c_Set_Oinsert(_u4504), _u4509), c_Orderings_Obot__class_Obot(tc_fun(_u4504, tc_HOL_Obool)))))), hAPP(_u4506, _u4509))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4511), _u4516)) | ~hBOOL(hAPP(hAPP(c_member(_u4511), _u4517), _u4516)) | ( hAPP(_u4515, _u4516) = hAPP(hAPP(_u4512, hAPP(_u4514, _u4517)), hAPP(_u4515, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4511, tc_HOL_Obool)), _u4516), hAPP(hAPP(c_Set_Oinsert(_u4511), _u4517), c_Orderings_Obot__class_Obot(tc_fun(_u4511, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4510, _u4511, _u4512, _u4513, _u4514, _u4515) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4518, _u4519, _u4520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4518), _u4521)) | ~hBOOL(hAPP(hAPP(c_member(_u4518), _u4522), _u4521)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4518, tc_HOL_Obool)), _u4521), hAPP(hAPP(c_Set_Oinsert(_u4518), _u4522), c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool))) | ( hAPP(_u4520, _u4521) = _u4522) )).
% 12.21/12.37 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u4518, _u4519, _u4520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4518), _u4521)) | ~hBOOL(hAPP(hAPP(c_member(_u4518), _u4522), _u4521)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4518, tc_HOL_Obool)), _u4521), hAPP(hAPP(c_Set_Oinsert(_u4518), _u4522), c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool))) | ( hAPP(_u4520, _u4521) = hAPP(hAPP(_u4519, _u4522), hAPP(_u4520, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4518, tc_HOL_Obool)), _u4521), hAPP(hAPP(c_Set_Oinsert(_u4518), _u4522), c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u4523, _u4524, _u4525, _u4526, _u4527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4528)) | ~c_Fun_Oinj__on(_u4524, _u4524, _u4529, _u4528) | ( hAPP(hAPP(_u4527, _u4530), hAPP(c_Set_Oimage(_u4524, _u4524, _u4529), _u4528)) = hAPP(hAPP(_u4527, hAPP(c_Fun_Ocomp(_u4524, _u4523, _u4524, _u4530), _u4529)), _u4528)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u4531, _u4532, _u4533, _u4534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4531), _u4535)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4531), _u4536)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4531, tc_HOL_Obool)), _u4535), _u4536) != c_Orderings_Obot__class_Obot(tc_fun(_u4531, tc_HOL_Obool))) | ( hAPP(_u4534, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4531, tc_HOL_Obool)), _u4535), _u4536)) = hAPP(c_Fun_Ocomp(_u4532, _u4532, _u4532, hAPP(_u4534, _u4535)), hAPP(_u4534, _u4536))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u4537, _u4538, _u4539, _u4540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4537), _u4541)) | ( hAPP(_u4540, hAPP(hAPP(c_Set_Oinsert(_u4537), _u4542), _u4541)) = hAPP(c_Fun_Ocomp(_u4538, _u4538, _u4538, hAPP(_u4540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4537, tc_HOL_Obool)), _u4541), hAPP(hAPP(c_Set_Oinsert(_u4537), _u4542), c_Orderings_Obot__class_Obot(tc_fun(_u4537, tc_HOL_Obool)))))), hAPP(_u4539, _u4542))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4544), _u4549)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4544), _u4550)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4544, tc_HOL_Obool)), _u4549), _u4550) != c_Orderings_Obot__class_Obot(tc_fun(_u4544, tc_HOL_Obool))) | ( hAPP(_u4548, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4544, tc_HOL_Obool)), _u4549), _u4550)) = hAPP(hAPP(_u4545, hAPP(_u4548, _u4549)), hAPP(_u4548, _u4550))) | ~c_Finite__Set_Ofolding__image__simple(_u4543, _u4544, _u4545, _u4546, _u4547, _u4548) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4551, _u4552, _u4553) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4551), _u4554)) | ( _u4554 = c_Orderings_Obot__class_Obot(tc_fun(_u4551, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4551), _u4555)) | ( _u4555 = c_Orderings_Obot__class_Obot(tc_fun(_u4551, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4551, tc_HOL_Obool)), _u4554), _u4555) != c_Orderings_Obot__class_Obot(tc_fun(_u4551, tc_HOL_Obool))) | ( hAPP(_u4553, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4551, tc_HOL_Obool)), _u4554), _u4555)) = hAPP(hAPP(_u4552, hAPP(_u4553, _u4554)), hAPP(_u4553, _u4555))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 12.21/12.37 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)), _u4556)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 12.21/12.37 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)), _u4557)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4558), _u4559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4558), _u4559)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4565)), hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4566)), _u4567)) = hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4566)), hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4565)), _u4567))) | ~c_Finite__Set_Ofolding(_u4560, _u4561, _u4562, _u4563) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4569, _u4569, _u4569, hAPP(_u4570, _u4572)), hAPP(_u4570, _u4573)) = hAPP(c_Fun_Ocomp(_u4569, _u4569, _u4569, hAPP(_u4570, _u4573)), hAPP(_u4570, _u4572))) | ~c_Finite__Set_Ofolding(_u4568, _u4569, _u4570, _u4571) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u4574, _u4575, _u4576, _u4577) | ( hAPP(c_Fun_Ocomp(_u4578, _u4579, _u4580, _u4581), hAPP(c_Fun_Ocomp(_u4582, _u4578, _u4580, _u4583), _u4584)) = hAPP(c_Fun_Ocomp(_u4582, _u4579, _u4580, hAPP(c_Fun_Ocomp(_u4578, _u4579, _u4582, _u4581), _u4583)), _u4584)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u4590, c_Orderings_Obot__class_Obot(tc_fun(_u4586, tc_HOL_Obool))) = _u4588) | ~c_Finite__Set_Ofolding__image__simple(_u4585, _u4586, _u4587, _u4588, _u4589, _u4590) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u4591, _u4592, _u4593, _u4594, _u4595) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4592), _u4596)) | ( hAPP(hAPP(_u4595, hAPP(hAPP(c_COMBS(_u4592, _u4591, _u4591), hAPP(hAPP(c_COMBB(_u4591, tc_fun(_u4591, _u4591), _u4592), _u4593), _u4597)), _u4598)), _u4596) = hAPP(hAPP(_u4593, hAPP(hAPP(_u4595, _u4597), _u4596)), hAPP(hAPP(_u4595, _u4598), _u4596))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4599, _u4600, _u4601, _u4602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4599), _u4603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4599), _u4604)) | ( hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4604)), hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4603)), _u4606)) = hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4603)), hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4604)), _u4606))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4607, _u4608, _u4609, _u4610) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4607), _u4611)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4607), _u4612)) | ( hAPP(c_Fun_Ocomp(_u4608, _u4608, _u4608, hAPP(_u4610, _u4612)), hAPP(_u4610, _u4611)) = hAPP(c_Fun_Ocomp(_u4608, _u4608, _u4608, hAPP(_u4610, _u4611)), hAPP(_u4610, _u4612))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4613, _u4614, _u4615, _u4616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4617)) | ( hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4615, _u4619)), hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4616, _u4617)), _u4620)) = hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4616, _u4617)), hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4615, _u4619)), _u4620))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4621, _u4622, _u4623, _u4624) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4621), _u4625)) | ( hAPP(c_Fun_Ocomp(_u4622, _u4622, _u4622, hAPP(_u4623, _u4626)), hAPP(_u4624, _u4625)) = hAPP(c_Fun_Ocomp(_u4622, _u4622, _u4622, hAPP(_u4624, _u4625)), hAPP(_u4623, _u4626))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4627, _u4628, _u4629) | ( hAPP(_u4629, hAPP(hAPP(c_Set_Oinsert(_u4627), _u4630), c_Orderings_Obot__class_Obot(tc_fun(_u4627, tc_HOL_Obool)))) = _u4630) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4637)) | hBOOL(hAPP(hAPP(c_member(_u4632), _u4638), _u4637)) | ( hAPP(_u4636, hAPP(hAPP(c_Set_Oinsert(_u4632), _u4638), _u4637)) = hAPP(hAPP(_u4633, hAPP(_u4635, _u4638)), hAPP(_u4636, _u4637))) | ~c_Finite__Set_Ofolding__image__simple(_u4631, _u4632, _u4633, _u4634, _u4635, _u4636) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4640), _u4645)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4640), _u4646)) | ( hAPP(hAPP(_u4641, hAPP(_u4644, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4640, tc_HOL_Obool)), _u4645), _u4646))), hAPP(_u4644, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4640, tc_HOL_Obool)), _u4645), _u4646))) = hAPP(hAPP(_u4641, hAPP(_u4644, _u4645)), hAPP(_u4644, _u4646))) | ~c_Finite__Set_Ofolding__image__simple(_u4639, _u4640, _u4641, _u4642, _u4643, _u4644) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u4647, _u4648, _u4649, _u4650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4647), _u4651)) | hBOOL(hAPP(hAPP(c_member(_u4647), _u4652), _u4651)) | ( hAPP(_u4650, hAPP(hAPP(c_Set_Oinsert(_u4647), _u4652), _u4651)) = hAPP(c_Fun_Ocomp(_u4648, _u4648, _u4648, hAPP(_u4650, _u4651)), hAPP(_u4649, _u4652))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u4653, _u4654, _u4655, _u4656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4657)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4658)) | ( hAPP(c_Fun_Ocomp(_u4654, _u4654, _u4654, hAPP(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4653, tc_HOL_Obool)), _u4657), _u4658))), hAPP(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4653, tc_HOL_Obool)), _u4657), _u4658))) = hAPP(c_Fun_Ocomp(_u4654, _u4654, _u4654, hAPP(_u4656, _u4657)), hAPP(_u4656, _u4658))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4659, _u4660, _u4661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), _u4662)) | hBOOL(hAPP(hAPP(c_member(_u4659), _u4663), _u4662)) | ( _u4662 = c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ( hAPP(_u4661, hAPP(hAPP(c_Set_Oinsert(_u4659), _u4663), _u4662)) = hAPP(hAPP(_u4660, _u4663), hAPP(_u4661, _u4662))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4664, _u4665, _u4666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4664), _u4667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4664, tc_HOL_Obool)), _u4667), hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool))) | ( hAPP(_u4666, hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), _u4667)) = _u4668) )).
% 12.21/12.37 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u4664, _u4665, _u4666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4664), _u4667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4664, tc_HOL_Obool)), _u4667), hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool))) | ( hAPP(_u4666, hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), _u4667)) = hAPP(hAPP(_u4665, _u4668), hAPP(_u4666, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4664, tc_HOL_Obool)), _u4667), hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4670), _u4675)) | ( hAPP(_u4674, hAPP(hAPP(c_Set_Oinsert(_u4670), _u4676), _u4675)) = hAPP(hAPP(_u4671, hAPP(_u4673, _u4676)), hAPP(_u4674, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4670, tc_HOL_Obool)), _u4675), hAPP(hAPP(c_Set_Oinsert(_u4670), _u4676), c_Orderings_Obot__class_Obot(tc_fun(_u4670, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4669, _u4670, _u4671, _u4672, _u4673, _u4674) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4677, _u4678, _u4679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4680)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4681)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4677, tc_HOL_Obool)), _u4680), _u4681) = c_Orderings_Obot__class_Obot(tc_fun(_u4677, tc_HOL_Obool))) | ( hAPP(hAPP(_u4678, hAPP(_u4679, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4677, tc_HOL_Obool)), _u4680), _u4681))), hAPP(_u4679, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4677, tc_HOL_Obool)), _u4680), _u4681))) = hAPP(hAPP(_u4678, hAPP(_u4679, _u4680)), hAPP(_u4679, _u4681))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 12.21/12.37 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), _u4682)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u4683))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u4684) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)) | ( _u4685 = _u4686) | ( _u4685 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4686)) )).
% 12.21/12.37 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u4684) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)) | ( _u4685 != _u4686) )).
% 12.21/12.37 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u4684) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)) | ( _u4685 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4686)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u4687) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), hAPP(c_Groups_Ouminus__class_Ouminus(_u4687), _u4688)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4687), _u4689)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4689)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u4690) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4691)), _u4692) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), _u4691), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4692))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u4693) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4693), _u4694), _u4695)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4693), hAPP(c_Groups_Ouminus__class_Ouminus(_u4693), _u4694)), _u4695)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u4696) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4696), _u4697), _u4698)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4696), _u4697), hAPP(c_Groups_Ouminus__class_Ouminus(_u4696), _u4698))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u4699) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4700)) | ~hBOOL(hAPP(hAPP(c_member(_u4699), _u4701), _u4700)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4699, tc_HOL_Obool)), _u4700), hAPP(hAPP(c_Set_Oinsert(_u4699), _u4701), c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4699, _u4700) = _u4701) )).
% 12.21/12.37 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u4699) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4700)) | ~hBOOL(hAPP(hAPP(c_member(_u4699), _u4701), _u4700)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4699, tc_HOL_Obool)), _u4700), hAPP(hAPP(c_Set_Oinsert(_u4699), _u4701), c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4699, _u4700) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4699), _u4701), c_Big__Operators_Olattice__class_OInf__fin(_u4699, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4699, tc_HOL_Obool)), _u4700), hAPP(hAPP(c_Set_Oinsert(_u4699), _u4701), c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4702), _u4703)) | ~hBOOL(hAPP(hAPP(c_member(_u4702), _u4704), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4702), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4702, _u4703) = _u4704) )).
% 12.21/12.37 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4702), _u4703)) | ~hBOOL(hAPP(hAPP(c_member(_u4702), _u4704), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4702), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4702, _u4703) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4702), _u4704), c_Big__Operators_Olattice__class_OSup__fin(_u4702, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4702), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4710)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4705), _u4710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4705), skolem78(_u4710))) )).
% 12.21/12.37 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4711)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem79(_u4711, _u4708)), _u4711)) )).
% 12.21/12.37 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem79(_u4711, _u4708)), _u4708)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_infinite__UNIV__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u4712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4712), _u4713)) | ( _u4713 = c_Orderings_Obot__class_Obot(tc_fun(_u4712, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4712), c_Big__Operators_Olattice__class_OInf__fin(_u4712, _u4713)), c_Big__Operators_Olattice__class_OSup__fin(_u4712, _u4713))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u4714) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4714, hAPP(hAPP(c_Set_Oinsert(_u4714), _u4715), c_Orderings_Obot__class_Obot(tc_fun(_u4714, tc_HOL_Obool)))) = _u4715) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u4716) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4716, hAPP(hAPP(c_Set_Oinsert(_u4716), _u4717), c_Orderings_Obot__class_Obot(tc_fun(_u4716, tc_HOL_Obool)))) = _u4717) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u4718) | ( _u4719 = _u4720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), _u4720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4720), _u4719)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4726)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4721), _u4726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4721), skolem80(_u4726))) )).
% 12.21/12.37 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4727)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem81(_u4727, _u4724)), _u4727)) )).
% 12.21/12.37 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u4727, _u4724)), _u4724)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4728) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4728), _u4729)) | ~hBOOL(hAPP(hAPP(c_member(_u4728), _u4730), _u4729)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4728), _u4730), c_Big__Operators_Olattice__class_OInf__fin(_u4728, _u4729)) = _u4730) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u4731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4731), _u4732)) | ~hBOOL(hAPP(hAPP(c_member(_u4731), _u4733), _u4732)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4731), _u4733), c_Big__Operators_Olattice__class_OSup__fin(_u4731, _u4732)) = c_Big__Operators_Olattice__class_OSup__fin(_u4731, _u4732)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u4734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4734), _u4735)) | ~hBOOL(hAPP(hAPP(c_member(_u4734), _u4736), _u4735)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4734), _u4736), c_Big__Operators_Olattice__class_OInf__fin(_u4734, _u4735)) = c_Big__Operators_Olattice__class_OInf__fin(_u4734, _u4735)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4737), _u4738)) | ~hBOOL(hAPP(hAPP(c_member(_u4737), _u4739), _u4738)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4737), _u4739), c_Big__Operators_Olattice__class_OSup__fin(_u4737, _u4738)) = _u4739) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u4740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ( _u4741 = c_Orderings_Obot__class_Obot(tc_fun(_u4740, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4740, hAPP(hAPP(c_Set_Oinsert(_u4740), _u4742), _u4741)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4740), _u4742), c_Big__Operators_Olattice__class_OSup__fin(_u4740, _u4741))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u4743) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4743), _u4744)) | ( _u4744 = c_Orderings_Obot__class_Obot(tc_fun(_u4743, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4743, hAPP(hAPP(c_Set_Oinsert(_u4743), _u4745), _u4744)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4743), _u4745), c_Big__Operators_Olattice__class_OInf__fin(_u4743, _u4744))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u4746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4746), _u4747)) | ( _u4748 = c_Orderings_Obot__class_Obot(tc_fun(_u4746, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4746, tc_HOL_Obool)), _u4748), _u4747)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4746), c_Big__Operators_Olattice__class_OSup__fin(_u4746, _u4748)), c_Big__Operators_Olattice__class_OSup__fin(_u4746, _u4747)) = c_Big__Operators_Olattice__class_OSup__fin(_u4746, _u4747)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u4749) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4749), _u4750)) | ( _u4751 = c_Orderings_Obot__class_Obot(tc_fun(_u4749, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4749, tc_HOL_Obool)), _u4751), _u4750)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4749), c_Big__Operators_Olattice__class_OInf__fin(_u4749, _u4751)), c_Big__Operators_Olattice__class_OInf__fin(_u4749, _u4750)) = c_Big__Operators_Olattice__class_OInf__fin(_u4749, _u4750)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u4752) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4753)) | ( _u4753 = c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4754)) | ( _u4754 = c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4752, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4752, tc_HOL_Obool)), _u4753), _u4754)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4752), c_Big__Operators_Olattice__class_OSup__fin(_u4752, _u4753)), c_Big__Operators_Olattice__class_OSup__fin(_u4752, _u4754))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u4755) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4755), _u4756)) | ( _u4756 = c_Orderings_Obot__class_Obot(tc_fun(_u4755, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4755), _u4757)) | ( _u4757 = c_Orderings_Obot__class_Obot(tc_fun(_u4755, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4755, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4755, tc_HOL_Obool)), _u4756), _u4757)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4755), c_Big__Operators_Olattice__class_OInf__fin(_u4755, _u4756)), c_Big__Operators_Olattice__class_OInf__fin(_u4755, _u4757))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u4758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4758), _u4759)) | hBOOL(hAPP(hAPP(c_member(_u4758), _u4760), _u4759)) | ( _u4759 = c_Orderings_Obot__class_Obot(tc_fun(_u4758, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4758, hAPP(hAPP(c_Set_Oinsert(_u4758), _u4760), _u4759)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4758), _u4760), c_Big__Operators_Olattice__class_OSup__fin(_u4758, _u4759))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u4761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4761), _u4762)) | hBOOL(hAPP(hAPP(c_member(_u4761), _u4763), _u4762)) | ( _u4762 = c_Orderings_Obot__class_Obot(tc_fun(_u4761, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4761, hAPP(hAPP(c_Set_Oinsert(_u4761), _u4763), _u4762)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4761), _u4763), c_Big__Operators_Olattice__class_OInf__fin(_u4761, _u4762))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u4764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4764), _u4765)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4764, tc_HOL_Obool)), _u4765), hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4764, hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), _u4765)) = _u4766) )).
% 12.21/12.37 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u4764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4764), _u4765)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4764, tc_HOL_Obool)), _u4765), hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4764, hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), _u4765)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4764), _u4766), c_Big__Operators_Olattice__class_OSup__fin(_u4764, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4764, tc_HOL_Obool)), _u4765), hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u4767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4767), _u4768)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4767, tc_HOL_Obool)), _u4768), hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4767, hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), _u4768)) = _u4769) )).
% 12.21/12.37 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u4767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4767), _u4768)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4767, tc_HOL_Obool)), _u4768), hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4767, hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), _u4768)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4767), _u4769), c_Big__Operators_Olattice__class_OInf__fin(_u4767, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4767, tc_HOL_Obool)), _u4768), hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4770), _u4771)) | ( _u4771 = c_Orderings_Obot__class_Obot(tc_fun(_u4770, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4770), _u4772)) | ( _u4772 = c_Orderings_Obot__class_Obot(tc_fun(_u4770, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4770, tc_HOL_Obool)), _u4771), _u4772) != c_Orderings_Obot__class_Obot(tc_fun(_u4770, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4770, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4770, tc_HOL_Obool)), _u4771), _u4772)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4770), c_Big__Operators_Olattice__class_OSup__fin(_u4770, _u4771)), c_Big__Operators_Olattice__class_OSup__fin(_u4770, _u4772))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4773) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4773), _u4774)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4773), _u4775)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4773, tc_HOL_Obool)), _u4774), _u4775) = c_Orderings_Obot__class_Obot(tc_fun(_u4773, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4773), c_Big__Operators_Olattice__class_OSup__fin(_u4773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4773, tc_HOL_Obool)), _u4774), _u4775))), c_Big__Operators_Olattice__class_OSup__fin(_u4773, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4773, tc_HOL_Obool)), _u4774), _u4775))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4773), c_Big__Operators_Olattice__class_OSup__fin(_u4773, _u4774)), c_Big__Operators_Olattice__class_OSup__fin(_u4773, _u4775))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4776), _u4777)) | ( _u4777 = c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4776), _u4778)) | ( _u4778 = c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4776, tc_HOL_Obool)), _u4777), _u4778) != c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4776, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4776, tc_HOL_Obool)), _u4777), _u4778)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4776), c_Big__Operators_Olattice__class_OInf__fin(_u4776, _u4777)), c_Big__Operators_Olattice__class_OInf__fin(_u4776, _u4778))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4779) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4779), _u4780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4779), _u4781)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4779, tc_HOL_Obool)), _u4780), _u4781) = c_Orderings_Obot__class_Obot(tc_fun(_u4779, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4779), c_Big__Operators_Olattice__class_OInf__fin(_u4779, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4779, tc_HOL_Obool)), _u4780), _u4781))), c_Big__Operators_Olattice__class_OInf__fin(_u4779, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4779, tc_HOL_Obool)), _u4780), _u4781))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4779), c_Big__Operators_Olattice__class_OInf__fin(_u4779, _u4780)), c_Big__Operators_Olattice__class_OInf__fin(_u4779, _u4781))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u4784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4784), _u4785)) | ( _u4785 = c_Orderings_Obot__class_Obot(tc_fun(_u4784, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4784), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4784), skolem82(_u4785, _u4784)), skolem83(_u4785, _u4784))), hAPP(hAPP(c_Set_Oinsert(_u4784), skolem82(_u4785, _u4784)), hAPP(hAPP(c_Set_Oinsert(_u4784), skolem83(_u4785, _u4784)), c_Orderings_Obot__class_Obot(tc_fun(_u4784, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4784), c_Big__Operators_Olattice__class_OInf__fin(_u4784, _u4785)), _u4785)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u4788) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4788), _u4789)) | ( _u4789 = c_Orderings_Obot__class_Obot(tc_fun(_u4788, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4788), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4788), skolem84(_u4789, _u4788)), skolem85(_u4789, _u4788))), hAPP(hAPP(c_Set_Oinsert(_u4788), skolem84(_u4789, _u4788)), hAPP(hAPP(c_Set_Oinsert(_u4788), skolem85(_u4789, _u4788)), c_Orderings_Obot__class_Obot(tc_fun(_u4788, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4788), c_Big__Operators_Olattice__class_OSup__fin(_u4788, _u4789)), _u4789)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4798, _u4796), _u4800)) | ~hBOOL(hAPP(hAPP(c_member(_u4794), _u4796), c_SetInterval_Oord_OatMost(_u4794, _u4798, _u4800))) )).
% 12.21/12.37 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4799, _u4797), _u4801)) | hBOOL(hAPP(hAPP(c_member(_u4795), _u4797), c_SetInterval_Oord_OatMost(_u4795, _u4799, _u4801))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4810, _u4812), _u4808)) | ~hBOOL(hAPP(hAPP(c_member(_u4806), _u4808), c_SetInterval_Oord_OatLeast(_u4806, _u4810, _u4812))) )).
% 12.21/12.37 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4811, _u4813), _u4809)) | hBOOL(hAPP(hAPP(c_member(_u4807), _u4809), c_SetInterval_Oord_OatLeast(_u4807, _u4811, _u4813))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4822, _u4820), _u4824)) | ~hBOOL(hAPP(hAPP(c_member(_u4818), _u4820), c_SetInterval_Oord_OlessThan(_u4818, _u4822, _u4824))) )).
% 12.21/12.37 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4823, _u4821), _u4825)) | hBOOL(hAPP(hAPP(c_member(_u4819), _u4821), c_SetInterval_Oord_OlessThan(_u4819, _u4823, _u4825))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4834, _u4836), _u4832)) | ~hBOOL(hAPP(hAPP(c_member(_u4830), _u4832), c_SetInterval_Oord_OgreaterThan(_u4830, _u4834, _u4836))) )).
% 12.21/12.37 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4835, _u4837), _u4833)) | hBOOL(hAPP(hAPP(c_member(_u4831), _u4833), c_SetInterval_Oord_OgreaterThan(_u4831, _u4835, _u4837))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4843), _u4845), c_SetInterval_Oord_OatLeastAtMost(_u4843, _u4847, _u4849, _u4851))) | hBOOL(hAPP(hAPP(_u4847, _u4849), _u4845)) )).
% 12.21/12.37 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4843), _u4845), c_SetInterval_Oord_OatLeastAtMost(_u4843, _u4847, _u4849, _u4851))) | hBOOL(hAPP(hAPP(_u4847, _u4845), _u4851)) )).
% 12.21/12.37 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4848, _u4850), _u4846)) | ~hBOOL(hAPP(hAPP(_u4848, _u4846), _u4852)) | hBOOL(hAPP(hAPP(c_member(_u4844), _u4846), c_SetInterval_Oord_OatLeastAtMost(_u4844, _u4848, _u4850, _u4852))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4858), _u4860), c_SetInterval_Oord_OgreaterThanLessThan(_u4858, _u4862, _u4864, _u4866))) | hBOOL(hAPP(hAPP(_u4862, _u4864), _u4860)) )).
% 12.21/12.37 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4858), _u4860), c_SetInterval_Oord_OgreaterThanLessThan(_u4858, _u4862, _u4864, _u4866))) | hBOOL(hAPP(hAPP(_u4862, _u4860), _u4866)) )).
% 12.21/12.37 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4863, _u4865), _u4861)) | ~hBOOL(hAPP(hAPP(_u4863, _u4861), _u4867)) | hBOOL(hAPP(hAPP(c_member(_u4859), _u4861), c_SetInterval_Oord_OgreaterThanLessThan(_u4859, _u4863, _u4865, _u4867))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4874), _u4876), c_SetInterval_Oord_OgreaterThanAtMost(_u4874, _u4878, _u4880, _u4882, _u4884))) | hBOOL(hAPP(hAPP(_u4880, _u4882), _u4876)) )).
% 12.21/12.37 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4874), _u4876), c_SetInterval_Oord_OgreaterThanAtMost(_u4874, _u4878, _u4880, _u4882, _u4884))) | hBOOL(hAPP(hAPP(_u4878, _u4876), _u4884)) )).
% 12.21/12.37 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4881, _u4883), _u4877)) | ~hBOOL(hAPP(hAPP(_u4879, _u4877), _u4885)) | hBOOL(hAPP(hAPP(c_member(_u4875), _u4877), c_SetInterval_Oord_OgreaterThanAtMost(_u4875, _u4879, _u4881, _u4883, _u4885))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4892), _u4894), c_SetInterval_Oord_OatLeastLessThan(_u4892, _u4896, _u4898, _u4900, _u4902))) | hBOOL(hAPP(hAPP(_u4896, _u4900), _u4894)) )).
% 12.21/12.37 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4892), _u4894), c_SetInterval_Oord_OatLeastLessThan(_u4892, _u4896, _u4898, _u4900, _u4902))) | hBOOL(hAPP(hAPP(_u4898, _u4894), _u4902)) )).
% 12.21/12.37 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4897, _u4901), _u4895)) | ~hBOOL(hAPP(hAPP(_u4899, _u4895), _u4903)) | hBOOL(hAPP(hAPP(c_member(_u4893), _u4895), c_SetInterval_Oord_OatLeastLessThan(_u4893, _u4897, _u4899, _u4901, _u4903))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4906), _u4908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4906), _u4908)) )).
% 12.21/12.37 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4906), _u4908)) | ( _u4906 != _u4908) )).
% 12.21/12.37 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4907), _u4909)) | ( _u4907 = _u4909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4907), _u4909)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4912), _u4914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4912), _u4914)) | ( _u4912 = _u4914) )).
% 12.21/12.37 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4913), _u4915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4913), _u4915)) )).
% 12.21/12.37 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4913), _u4915)) | ( _u4913 != _u4915) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4916), _u4917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4916), _u4917)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4918), _u4919)) | ( _u4918 = _u4919) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4918), _u4919)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4920), _u4921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4920), _u4921)) )).
% 12.21/12.37 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4920), _u4921)) | ( _u4920 != _u4921) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4922), _u4923)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4924), _u4922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4922), _u4924)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4923), _u4924))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4925), _u4926)), _u4927) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4925), _u4927)), _u4926)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4929), _u4930)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4928), _u4929)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4928), _u4930))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4931), _u4932)), _u4933) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4931), _u4933)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4932), _u4933))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4934), _u4935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4934), _u4936)), _u4935)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4937), _u4938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4937), _u4939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4938)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4937))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4940), _u4940)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__neq__iff-1, axiom, ( ( _u4943 = _u4945) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4943), _u4945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4945), _u4943)) )).
% 12.21/12.37 cnf(fact_nat__neq__iff-2, axiom, ( ( _u4944 != _u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4944), _u4946)) )).
% 12.21/12.37 cnf(fact_nat__neq__iff-3, axiom, ( ( _u4944 != _u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4946), _u4944)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u4947 = _u4948) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4947), _u4948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4948), _u4947)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4949), _u4949)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4950), _u4951)) | ( _u4951 != _u4950) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4952), _u4953)) | ( _u4952 != _u4953) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4954), _u4955)) | ( _u4954 = _u4955) | hBOOL(hAPP(hAPP(_u4956, _u4955), _u4954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4955), _u4954)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__le__self-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4957), _u4958)), _u4957)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4959), _u4960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4961), _u4960)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4961), _u4959))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), _u4963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4962), _u4964)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4963), _u4964))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4965), _u4966)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4966), _u4965)) = _u4965) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4969)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4968), _u4967) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4969), _u4967)) | ( _u4968 = _u4969) )).
% 12.21/12.37 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4969)) | ( _u4968 != _u4969) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4968), _u4967) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4969), _u4967)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4970), _u4972)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4971), _u4970)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4972), _u4970)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4971), _u4972)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4974), _u4973)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4975), _u4973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4974), _u4975)) )).
% 12.21/12.37 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4974), _u4975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4974), _u4973)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4975), _u4973))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4976), _u4977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4977), _u4976)) | ( _u4976 = _u4977) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4978), _u4979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4979), _u4980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4978), _u4980)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__imp__le-1, axiom, ( ( _u4981 != _u4982) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4981), _u4982)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4983), _u4984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4984), _u4983)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4985), _u4985)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4986), _u4986))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4987), _u4987)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4988), _u4989)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4988), _u4990)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4989), _u4990))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4991), _u4992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4993), _u4991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4993), _u4992))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4994), _u4995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4996), _u4997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4994), _u4996)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4995), _u4997))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u4999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u5000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4999), _u4998)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5000), _u4998))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4999), _u5000)) )).
% 12.21/12.37 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u4999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u5000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4999), _u5000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4999), _u4998)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5000), _u4998))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u5001, _u5002, _u5003, _u5004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5001), _u5005)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5001), _u5006)) | ( hAPP(_u5004, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5001, tc_HOL_Obool)), _u5005), _u5006)) = hAPP(c_Fun_Ocomp(_u5002, _u5002, _u5002, hAPP(_u5004, _u5005)), hAPP(_u5004, _u5006))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u5007, _u5008, _u5009, _u5010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5007, tc_HOL_Obool)), _u5012), _u5011)) | ( hAPP(c_Fun_Ocomp(_u5008, _u5008, _u5008, hAPP(_u5010, _u5011)), hAPP(_u5010, _u5012)) = hAPP(_u5010, _u5011)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u5013, _u5014, _u5015, _u5016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5013), _u5017)) | ( hAPP(_u5016, hAPP(hAPP(c_Set_Oinsert(_u5013), _u5018), _u5017)) = hAPP(c_Fun_Ocomp(_u5014, _u5014, _u5014, hAPP(_u5016, _u5017)), hAPP(_u5015, _u5018))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u5021, _u5022, _u5023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5021), _u5024)) | ( _u5024 = c_Orderings_Obot__class_Obot(tc_fun(_u5021, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5021), hAPP(hAPP(_u5022, skolem86(_u5024, _u5023, _u5022, _u5021)), skolem87(_u5024, _u5023, _u5022, _u5021))), hAPP(hAPP(c_Set_Oinsert(_u5021), skolem86(_u5024, _u5023, _u5022, _u5021)), hAPP(hAPP(c_Set_Oinsert(_u5021), skolem87(_u5024, _u5023, _u5022, _u5021)), c_Orderings_Obot__class_Obot(tc_fun(_u5021, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5021), hAPP(_u5023, _u5024)), _u5024)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u5025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5025), _u5026)) | ( _u5026 = c_Orderings_Obot__class_Obot(tc_fun(_u5025, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5025), _u5027), c_Big__Operators_Olattice__class_OSup__fin(_u5025, _u5026)) = c_Big__Operators_Olattice__class_OSup__fin(_u5025, hAPP(c_Set_OCollect(_u5025), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_HOL_Obool), tc_HOL_Obool, _u5025), c_HOL_OEx(_u5025)), hAPP(hAPP(c_COMBC(_u5025, tc_fun(_u5025, tc_HOL_Obool), tc_fun(_u5025, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5025, tc_HOL_Obool), tc_fun(_u5025, tc_HOL_Obool)), _u5025), c_COMBS(_u5025, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_HOL_Obool), tc_fun(_u5025, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5025), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5025), c_fconj)), hAPP(hAPP(c_COMBC(_u5025, tc_fun(_u5025, _u5025), tc_fun(_u5025, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_HOL_Obool), tc_fun(tc_fun(_u5025, _u5025), tc_fun(_u5025, tc_HOL_Obool)), _u5025), c_COMBB(_u5025, tc_HOL_Obool, _u5025)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5025), _u5027))))), hAPP(hAPP(c_COMBC(_u5025, tc_fun(_u5025, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5025)), _u5026)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u5028) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5028), _u5029)) | ( _u5029 = c_Orderings_Obot__class_Obot(tc_fun(_u5028, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5028), _u5030)) | ( _u5030 = c_Orderings_Obot__class_Obot(tc_fun(_u5028, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5028), c_Big__Operators_Olattice__class_OSup__fin(_u5028, _u5029)), c_Big__Operators_Olattice__class_OSup__fin(_u5028, _u5030)) = c_Big__Operators_Olattice__class_OSup__fin(_u5028, hAPP(c_Set_OCollect(_u5028), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool, _u5028), c_HOL_OEx(_u5028)), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_HOL_Obool), _u5028), hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool, _u5028), c_HOL_OEx(_u5028))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool))), tc_fun(tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), _u5028), c_COMBS(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u5028, tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool))), _u5028), hAPP(c_COMBB(tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool)), _u5028), c_COMBS(_u5028, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u5028), hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5028), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5028), c_fconj))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_fun(_u5028, _u5028)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5028, _u5028), tc_fun(_u5028, tc_HOL_Obool)), tc_fun(tc_fun(_u5028, tc_fun(_u5028, _u5028)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), _u5028), c_COMBB(tc_fun(_u5028, _u5028), tc_fun(_u5028, tc_HOL_Obool), _u5028)), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_fun(tc_fun(_u5028, _u5028), tc_fun(_u5028, tc_HOL_Obool)), _u5028), c_COMBB(_u5028, tc_HOL_Obool, _u5028)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u5028)))))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool)), _u5028), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5028)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5028), c_fconj), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5028)), _u5029)))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5028)), _u5030)))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u5031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5031), _u5032)) | ( _u5032 = c_Orderings_Obot__class_Obot(tc_fun(_u5031, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5031), _u5033), c_Big__Operators_Olattice__class_OInf__fin(_u5031, _u5032)) = c_Big__Operators_Olattice__class_OInf__fin(_u5031, hAPP(c_Set_OCollect(_u5031), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_HOL_Obool), tc_HOL_Obool, _u5031), c_HOL_OEx(_u5031)), hAPP(hAPP(c_COMBC(_u5031, tc_fun(_u5031, tc_HOL_Obool), tc_fun(_u5031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5031, tc_HOL_Obool), tc_fun(_u5031, tc_HOL_Obool)), _u5031), c_COMBS(_u5031, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_HOL_Obool), tc_fun(_u5031, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5031), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5031), c_fconj)), hAPP(hAPP(c_COMBC(_u5031, tc_fun(_u5031, _u5031), tc_fun(_u5031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_HOL_Obool), tc_fun(tc_fun(_u5031, _u5031), tc_fun(_u5031, tc_HOL_Obool)), _u5031), c_COMBB(_u5031, tc_HOL_Obool, _u5031)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5031), _u5033))))), hAPP(hAPP(c_COMBC(_u5031, tc_fun(_u5031, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5031)), _u5032)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u5034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5034), _u5035)) | ( _u5035 = c_Orderings_Obot__class_Obot(tc_fun(_u5034, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5034), _u5036)) | ( _u5036 = c_Orderings_Obot__class_Obot(tc_fun(_u5034, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5034), c_Big__Operators_Olattice__class_OInf__fin(_u5034, _u5035)), c_Big__Operators_Olattice__class_OInf__fin(_u5034, _u5036)) = c_Big__Operators_Olattice__class_OInf__fin(_u5034, hAPP(c_Set_OCollect(_u5034), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool, _u5034), c_HOL_OEx(_u5034)), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_HOL_Obool), _u5034), hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool, _u5034), c_HOL_OEx(_u5034))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool))), tc_fun(tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), _u5034), c_COMBS(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u5034, tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool))), _u5034), hAPP(c_COMBB(tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool)), _u5034), c_COMBS(_u5034, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u5034), hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5034), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5034), c_fconj))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_fun(_u5034, _u5034)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5034, _u5034), tc_fun(_u5034, tc_HOL_Obool)), tc_fun(tc_fun(_u5034, tc_fun(_u5034, _u5034)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), _u5034), c_COMBB(tc_fun(_u5034, _u5034), tc_fun(_u5034, tc_HOL_Obool), _u5034)), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_fun(tc_fun(_u5034, _u5034), tc_fun(_u5034, tc_HOL_Obool)), _u5034), c_COMBB(_u5034, tc_HOL_Obool, _u5034)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u5034)))))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool)), _u5034), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5034)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5034), c_fconj), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5034)), _u5035)))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5034)), _u5036)))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__mult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5037), _u5038)), _u5039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5038), _u5039))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5040), _u5041) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5041), _u5040)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), hAPP(c_Set_OCollect(_u5044), _u5045))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_HOL_Obool, _u5046), c_HOL_OEx(_u5044)), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_fun(_u5044, tc_HOL_Obool), _u5046), hAPP(c_COMBS(_u5044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5044), c_fconj), _u5045))), _u5047))))) | ~hBOOL(hAPP(_u5045, _u5042)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBC(_u5046, _u5044, tc_HOL_Obool), _u5047), _u5042)))) )).
% 12.21/12.37 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), hAPP(c_Set_OCollect(_u5044), _u5045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_HOL_Obool, _u5046), c_HOL_OEx(_u5044)), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_fun(_u5044, tc_HOL_Obool), _u5046), hAPP(c_COMBS(_u5044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5044), c_fconj), _u5045))), _u5047))))) | hBOOL(hAPP(_u5045, skolem88(_u5047, _u5046, _u5045, _u5044))) )).
% 12.21/12.37 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), hAPP(c_Set_OCollect(_u5044), _u5045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_HOL_Obool, _u5046), c_HOL_OEx(_u5044)), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_fun(_u5044, tc_HOL_Obool), _u5046), hAPP(c_COMBS(_u5044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5044), c_fconj), _u5045))), _u5047))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBC(_u5046, _u5044, tc_HOL_Obool), _u5047), skolem88(_u5047, _u5046, _u5045, _u5044))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5048), hAPP(c_Set_OCollect(_u5048), _u5049))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5050), hAPP(c_Set_OCollect(_u5050), hAPP(hAPP(c_COMBB(tc_fun(_u5048, tc_HOL_Obool), tc_HOL_Obool, _u5050), c_HOL_OEx(_u5048)), hAPP(hAPP(c_COMBC(_u5050, tc_fun(_u5048, tc_HOL_Obool), tc_fun(_u5048, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5048, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5048, tc_HOL_Obool), tc_fun(_u5048, tc_HOL_Obool)), _u5050), c_COMBS(_u5048, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5048, tc_HOL_Obool), tc_fun(_u5048, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5050), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5048), c_fconj)), hAPP(hAPP(c_COMBC(_u5050, tc_fun(_u5048, _u5050), tc_fun(_u5048, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5050, tc_HOL_Obool), tc_fun(tc_fun(_u5048, _u5050), tc_fun(_u5048, tc_HOL_Obool)), _u5050), c_COMBB(_u5050, tc_HOL_Obool, _u5048)), c_fequal)), _u5051)))), _u5049))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u5053, _u5053, _u5056, hAPP(_u5054, _u5057)), hAPP(c_Fun_Ocomp(_u5053, _u5053, _u5056, hAPP(_u5054, _u5057)), _u5058)) = hAPP(c_Fun_Ocomp(_u5053, _u5053, _u5056, hAPP(_u5054, _u5057)), _u5058)) | ~c_Finite__Set_Ofolding__idem(_u5052, _u5053, _u5054, _u5055) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u5060, _u5060, _u5060, hAPP(_u5061, _u5063)), hAPP(_u5061, _u5063)) = hAPP(_u5061, _u5063)) | ~c_Finite__Set_Ofolding__idem(_u5059, _u5060, _u5061, _u5062) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ran__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ran__def-1, axiom, ( ( c_Map_Oran(_u5064, _u5065, _u5066) = hAPP(c_Set_OCollect(_u5065), hAPP(hAPP(c_COMBB(tc_fun(_u5064, tc_HOL_Obool), tc_HOL_Obool, _u5065), c_HOL_OEx(_u5064)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u5065), tc_fun(_u5064, tc_HOL_Obool), _u5065), hAPP(c_COMBC(_u5064, tc_Option_Ooption(_u5065), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u5065), tc_fun(tc_Option_Ooption(_u5065), tc_HOL_Obool), _u5064), c_fequal), _u5066))), c_Option_Ooption_OSome(_u5065))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u5067), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5067, tc_HOL_Obool)), _u5068)) = hAPP(c_Set_OCollect(tc_fun(_u5067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u5067, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u5067, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u5067, tc_HOL_Obool)), c_COMBS(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u5067, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u5067, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(_u5067, tc_HOL_Obool)), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(_u5067, tc_HOL_Obool)), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u5067, tc_HOL_Obool)), c_COMBB(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u5067, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u5067, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u5067, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u5067, tc_HOL_Obool)), _u5068)), c_Set_OPow(_u5067)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u5069, _u5070, _u5071, _u5072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5069), _u5073)) | ~hBOOL(hAPP(hAPP(c_member(_u5069), _u5074), _u5073)) | ( hAPP(c_Fun_Ocomp(_u5070, _u5070, _u5070, hAPP(_u5072, _u5073)), hAPP(_u5071, _u5074)) = hAPP(_u5072, _u5073)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u5077) | ( hAPP(_u5078, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5077), skolem89(_u5079, _u5078, _u5077)), skolem90(_u5079, _u5078, _u5077))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5077), hAPP(_u5078, skolem89(_u5079, _u5078, _u5077))), hAPP(_u5078, skolem90(_u5079, _u5078, _u5077)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5077), _u5079)) | ( _u5079 = c_Orderings_Obot__class_Obot(tc_fun(_u5077, tc_HOL_Obool))) | ( hAPP(_u5078, c_Big__Operators_Olattice__class_OInf__fin(_u5077, _u5079)) = c_Big__Operators_Olattice__class_OInf__fin(_u5077, hAPP(c_Set_Oimage(_u5077, _u5077, _u5078), _u5079))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u5082) | ( hAPP(_u5083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5082), skolem91(_u5084, _u5083, _u5082)), skolem92(_u5084, _u5083, _u5082))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5082), hAPP(_u5083, skolem91(_u5084, _u5083, _u5082))), hAPP(_u5083, skolem92(_u5084, _u5083, _u5082)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5082), _u5084)) | ( _u5084 = c_Orderings_Obot__class_Obot(tc_fun(_u5082, tc_HOL_Obool))) | ( hAPP(_u5083, c_Big__Operators_Olattice__class_OSup__fin(_u5082, _u5084)) = c_Big__Operators_Olattice__class_OSup__fin(_u5082, hAPP(c_Set_Oimage(_u5082, _u5082, _u5083), _u5084))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), skolem94(_u5089, _u5088, _u5087))) )).
% 12.21/12.37 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u5087), skolem93(_u5089, _u5088, _u5087)), skolem94(_u5089, _u5088, _u5087))) )).
% 12.21/12.37 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | hBOOL(hAPP(_u5089, skolem94(_u5089, _u5088, _u5087))) )).
% 12.21/12.37 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u5089, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5087, tc_HOL_Obool)), skolem94(_u5089, _u5088, _u5087)), hAPP(hAPP(c_Set_Oinsert(_u5087), skolem93(_u5089, _u5088, _u5087)), c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5090, _u5091, _u5092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5090), _u5093)) | ( _u5093 = c_Orderings_Obot__class_Obot(tc_fun(_u5090, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5090), _u5094)) | ( _u5094 = c_Orderings_Obot__class_Obot(tc_fun(_u5090, tc_HOL_Obool))) | ( hAPP(_u5092, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5090, tc_HOL_Obool)), _u5093), _u5094)) = hAPP(hAPP(_u5091, hAPP(_u5092, _u5093)), hAPP(_u5092, _u5094))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), skolem96(_u5100, _u5099, _u5098, _u5097))) )).
% 12.21/12.37 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | hBOOL(hAPP(hAPP(c_member(_u5097), skolem95(_u5100, _u5099, _u5098, _u5097)), _u5099)) )).
% 12.21/12.37 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | ~hBOOL(hAPP(hAPP(c_member(_u5097), skolem95(_u5100, _u5099, _u5098, _u5097)), skolem96(_u5100, _u5099, _u5098, _u5097))) )).
% 12.21/12.37 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | hBOOL(hAPP(_u5100, skolem96(_u5100, _u5099, _u5098, _u5097))) )).
% 12.21/12.37 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | ~hBOOL(hAPP(_u5100, hAPP(hAPP(c_Set_Oinsert(_u5097), skolem95(_u5100, _u5099, _u5098, _u5097)), skolem96(_u5100, _u5099, _u5098, _u5097)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5101, _u5102, _u5103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5101), _u5104)) | ( _u5105 = c_Orderings_Obot__class_Obot(tc_fun(_u5101, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5101, tc_HOL_Obool)), _u5105), _u5104)) | ( hAPP(hAPP(_u5102, hAPP(_u5103, _u5105)), hAPP(_u5103, _u5104)) = hAPP(_u5103, _u5104)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5106, _u5107, _u5108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5106), _u5109)) | ( _u5109 = c_Orderings_Obot__class_Obot(tc_fun(_u5106, tc_HOL_Obool))) | ( hAPP(_u5108, hAPP(hAPP(c_Set_Oinsert(_u5106), _u5110), _u5109)) = hAPP(hAPP(_u5107, _u5110), hAPP(_u5108, _u5109))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5117), _u5119)) | ( _u5119 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u5117, skolem98(_u5119, _u5117)), 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)), skolem97(_u5119, _u5117))))) )).
% 12.21/12.37 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u5120 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u5118, _u5113), 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)), _u5114)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5118), _u5120)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u5122, _u5124), _u5124) = _u5124) | ~c_Finite__Set_Ofolding__one__idem(_u5121, _u5122, _u5123) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5125, _u5126, _u5127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5125), _u5128)) | ~hBOOL(hAPP(hAPP(c_member(_u5125), _u5129), _u5128)) | ( hAPP(hAPP(_u5126, _u5129), hAPP(_u5127, _u5128)) = hAPP(_u5127, _u5128)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5130), _u5131)) | ( hAPP(c_Set_Oimage(_u5130, _u5132, _u5133), _u5131) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u5132, tc_HOL_Obool), _u5130, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5132, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5130, tc_fun(_u5132, tc_HOL_Obool), tc_fun(_u5132, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u5132, tc_fun(tc_fun(_u5132, tc_HOL_Obool), tc_fun(_u5132, tc_HOL_Obool)), _u5130), c_Set_Oinsert(_u5132)), _u5133)), c_Orderings_Obot__class_Obot(tc_fun(_u5132, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u5132, tc_HOL_Obool))), _u5131)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5134), _u5135)) | ( _u5135 = c_Orderings_Obot__class_Obot(tc_fun(_u5134, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5134), _u5136)) | ( _u5136 = c_Orderings_Obot__class_Obot(tc_fun(_u5134, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5134, tc_HOL_Obool)), _u5135), _u5136) != c_Orderings_Obot__class_Obot(tc_fun(_u5134, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5134, c_Groups_Otimes__class_Otimes(_u5134)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5134, tc_HOL_Obool)), _u5135), _u5136)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(c_Finite__Set_Ofold1(_u5134, c_Groups_Otimes__class_Otimes(_u5134)), _u5135)), hAPP(c_Finite__Set_Ofold1(_u5134, c_Groups_Otimes__class_Otimes(_u5134)), _u5136))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5137), _u5138)) | ~hBOOL(hAPP(hAPP(c_member(_u5137), _u5139), _u5138)) | ~hBOOL(hAPP(hAPP(c_member(_u5137), _u5140), _u5138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5137, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5137, tc_HOL_Obool)), _u5138), hAPP(hAPP(c_Set_Oinsert(_u5137), _u5139), c_Orderings_Obot__class_Obot(tc_fun(_u5137, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u5137), _u5140), c_Orderings_Obot__class_Obot(tc_fun(_u5137, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5137), _u5138))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5142)) | ~hBOOL(hAPP(hAPP(c_member(_u5141), _u5143), _u5142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5141, tc_HOL_Obool)), _u5142), hAPP(hAPP(c_Set_Oinsert(_u5141), _u5143), c_Orderings_Obot__class_Obot(tc_fun(_u5141, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5141), _u5142))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5146, _u5147, _u5148) | ( hAPP(_u5149, hAPP(hAPP(_u5147, skolem99(_u5150, _u5149, _u5148, _u5147, _u5146)), skolem100(_u5150, _u5149, _u5148, _u5147, _u5146))) != hAPP(hAPP(_u5147, hAPP(_u5149, skolem99(_u5150, _u5149, _u5148, _u5147, _u5146))), hAPP(_u5149, skolem100(_u5150, _u5149, _u5148, _u5147, _u5146)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5146), _u5150)) | ( _u5150 = c_Orderings_Obot__class_Obot(tc_fun(_u5146, tc_HOL_Obool))) | ( hAPP(_u5149, hAPP(_u5148, _u5150)) = hAPP(_u5148, hAPP(c_Set_Oimage(_u5146, _u5146, _u5149), _u5150))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5152, _u5153, _u5154, _u5155, _u5156, _u5157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5158)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5159)) | ( hAPP(_u5157, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5153, tc_HOL_Obool)), _u5158), _u5159)) = hAPP(hAPP(_u5154, hAPP(_u5157, _u5158)), hAPP(_u5157, _u5159))) | hBOOL(hAPP(hAPP(c_member(_u5153), skolem101(_u5159, _u5158, _u5157, _u5156, _u5155, _u5154, _u5153)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5153, tc_HOL_Obool)), _u5158), _u5159))) )).
% 12.21/12.37 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5152, _u5153, _u5154, _u5155, _u5156, _u5157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5158)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5159)) | ( hAPP(_u5157, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5153, tc_HOL_Obool)), _u5158), _u5159)) = hAPP(hAPP(_u5154, hAPP(_u5157, _u5158)), hAPP(_u5157, _u5159))) | ( hAPP(_u5156, skolem101(_u5159, _u5158, _u5157, _u5156, _u5155, _u5154, _u5153)) != _u5155) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5160) | ( _u5161 = c_Orderings_Obot__class_Obot(tc_fun(_u5160, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5160), _u5161)) | hBOOL(hAPP(hAPP(c_member(_u5160), _u5162), _u5161)) | ( hAPP(c_Finite__Set_Ofold1(_u5160, c_Groups_Otimes__class_Otimes(_u5160)), hAPP(hAPP(c_Set_Oinsert(_u5160), _u5162), _u5161)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5160), _u5162), hAPP(c_Finite__Set_Ofold1(_u5160, c_Groups_Otimes__class_Otimes(_u5160)), _u5161))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5163, _u5164, _u5165), _u5166), _u5167), c_Orderings_Obot__class_Obot(tc_fun(_u5164, tc_HOL_Obool))) = _u5167) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5168), c_Orderings_Otop__class_Otop(tc_fun(_u5168, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5168), _u5169) != hAPP(c_Finite__Set_Ocard(_u5168), c_Orderings_Otop__class_Otop(tc_fun(_u5168, tc_HOL_Obool)))) | ( _u5169 = c_Orderings_Otop__class_Otop(tc_fun(_u5168, tc_HOL_Obool))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__image ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u5170, _u5171, _u5172, _u5173) | ( hAPP(c_Finite__Set_Ocard(_u5171), hAPP(c_Set_Oimage(_u5170, _u5171, _u5172), _u5173)) = hAPP(c_Finite__Set_Ocard(_u5170), _u5173)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u5174, _u5175), hAPP(hAPP(c_Set_Oinsert(_u5174), _u5176), c_Orderings_Obot__class_Obot(tc_fun(_u5174, tc_HOL_Obool)))) = _u5176) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u5177 != c_Finite__Set_Ofold1(_u5178, _u5179)) | ( hAPP(_u5177, hAPP(hAPP(c_Set_Oinsert(_u5178), _u5180), c_Orderings_Obot__class_Obot(tc_fun(_u5178, tc_HOL_Obool)))) = _u5180) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5181, _u5182, _u5183, _u5184, _u5185, _u5186) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5182), _u5187)) | ( hAPP(_u5186, _u5187) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5181, _u5182, _u5183), _u5185), _u5184), _u5187)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u5188, _u5189, _u5190, _u5191, _u5192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5189), _u5193)) | ( hAPP(hAPP(_u5192, _u5194), _u5193) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5188, _u5189, _u5190), _u5194), _u5191), _u5193)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u5195, _u5196, _u5197) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5195), _u5198)) | ( hAPP(_u5197, _u5198) = hAPP(c_Finite__Set_Ofold1(_u5195, _u5196), _u5198)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5199), _u5200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5199), _u5200)), hAPP(c_Finite__Set_Ocard(_u5199), hAPP(hAPP(c_Set_Oinsert(_u5199), _u5201), _u5200)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5202), _u5203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5202, tc_HOL_Obool)), _u5204), _u5203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5202), _u5203)), hAPP(c_Finite__Set_Ocard(_u5202), _u5204))) | ( _u5204 = _u5203) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5205), _u5206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5205, tc_HOL_Obool)), _u5207), _u5206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5205), _u5207)), hAPP(c_Finite__Set_Ocard(_u5205), _u5206))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5208), _u5209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5210), hAPP(c_Set_Oimage(_u5208, _u5210, _u5211), _u5209))), hAPP(c_Finite__Set_Ocard(_u5208), _u5209))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ~c_Fun_Oinj__on(_u5212, _u5214, _u5215, _u5213) | ( hAPP(c_Finite__Set_Ocard(_u5214), hAPP(c_Set_Oimage(_u5212, _u5214, _u5215), _u5213)) = hAPP(c_Finite__Set_Ocard(_u5212), _u5213)) )).
% 12.21/12.37 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ( hAPP(c_Finite__Set_Ocard(_u5214), hAPP(c_Set_Oimage(_u5212, _u5214, _u5215), _u5213)) != hAPP(c_Finite__Set_Ocard(_u5212), _u5213)) | c_Fun_Oinj__on(_u5212, _u5214, _u5215, _u5213) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5216), _u5217)) | ( hAPP(c_Finite__Set_Ocard(_u5218), hAPP(c_Set_Oimage(_u5216, _u5218, _u5219), _u5217)) != hAPP(c_Finite__Set_Ocard(_u5216), _u5217)) | c_Fun_Oinj__on(_u5216, _u5218, _u5219, _u5217) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5220), hAPP(c_Set_Oimage(_u5221, _u5220, _u5222), _u5223))), hAPP(c_Finite__Set_Ocard(_u5221), _u5223))) | ~c_Fun_Oinj__on(_u5221, _u5220, _u5222, _u5223) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5224), _u5225)) | ~c_Fun_Oinj__on(_u5224, tc_fun(tc_fun(_u5224, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u5224, tc_fun(tc_prod(_u5224, _u5224), tc_HOL_Obool), tc_fun(tc_fun(_u5224, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5224, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u5224, _u5224), tc_HOL_Obool), tc_fun(tc_fun(_u5224, tc_HOL_Obool), tc_HOL_Obool)), _u5224), c_Equiv__Relations_Oquotient(_u5224)), hAPP(hAPP(c_COMBC(_u5224, tc_fun(_u5224, tc_HOL_Obool), tc_fun(_u5224, tc_HOL_Obool)), c_Set_Oinsert(_u5224)), c_Orderings_Obot__class_Obot(tc_fun(_u5224, tc_HOL_Obool))))), _u5226), _u5225) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u5224, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5224), _u5225), _u5226)) = hAPP(c_Finite__Set_Ocard(_u5224), _u5225)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5227, tc_HOL_Obool)), _u5229), _u5228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5227), _u5229)), hAPP(c_Finite__Set_Ocard(_u5227), _u5228))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u5230, _u5231), _u5232) = c_HOL_OThe(_u5230, c_Finite__Set_Ofold1Set(_u5230, _u5231, _u5232))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u5233) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5234)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u5233, _u5234) = hAPP(c_Finite__Set_Ofold1(_u5233, c_Lattices_Osemilattice__sup__class_Osup(_u5233)), _u5234)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u5235) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5235), _u5236)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5235, _u5236) = hAPP(c_Finite__Set_Ofold1(_u5235, c_Lattices_Osemilattice__inf__class_Oinf(_u5235)), _u5236)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u5237, _u5238, _u5239, _u5240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5238, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5237, _u5238, _u5239), _u5240)), _u5241)) | ~c_Fun_Oinj__on(_u5238, _u5237, _u5242, _u5241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5237, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5238, _u5237, _u5242), _u5241)), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5237), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5238), _u5241)) | ( hAPP(c_Finite__Set_Ocard(_u5237), _u5240) = hAPP(c_Finite__Set_Ocard(_u5238), _u5241)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5243, tc_HOL_Obool)), _u5244), _u5245)) | ( hAPP(c_Finite__Set_Ocard(_u5243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5245), _u5244)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5243), _u5245)), hAPP(c_Finite__Set_Ocard(_u5243), _u5244))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5246), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5246, tc_HOL_Obool)), _u5247), _u5248))) | ( hAPP(c_Finite__Set_Ocard(_u5246), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5246, tc_HOL_Obool)), _u5247), _u5248)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5246), _u5247)), hAPP(c_Finite__Set_Ocard(_u5246), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5246, tc_HOL_Obool)), _u5247), _u5248)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5249), _u5250)) | 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(_u5249), _u5251)), hAPP(c_Finite__Set_Ocard(_u5249), _u5250))), hAPP(c_Finite__Set_Ocard(_u5249), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5249, tc_HOL_Obool)), _u5251), _u5250)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5252), _u5253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5252, tc_HOL_Obool)), _u5254), _u5253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5252), _u5254)), hAPP(c_Finite__Set_Ocard(_u5252), _u5253))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5252, tc_HOL_Obool)), _u5254), _u5253)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5256), _u5257)) | hBOOL(hAPP(hAPP(c_member(_u5256), _u5258), _u5257)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5255, _u5256, c_Groups_Otimes__class_Otimes(_u5255)), _u5259), _u5260), hAPP(hAPP(c_Set_Oinsert(_u5256), _u5258), _u5257)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), hAPP(_u5259, _u5258)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5255, _u5256, c_Groups_Otimes__class_Otimes(_u5255)), _u5259), _u5260), _u5257))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u5261) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5261), _u5262)) | ~hBOOL(hAPP(hAPP(c_member(_u5261), _u5263), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5261), hAPP(c_Finite__Set_Ofold1(_u5261, c_Lattices_Osemilattice__inf__class_Oinf(_u5261)), _u5262)), _u5263)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u5266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5266), _u5267)) | ( _u5267 = c_Orderings_Obot__class_Obot(tc_fun(_u5266, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), hAPP(c_Finite__Set_Ofold1(_u5266, c_Lattices_Osemilattice__inf__class_Oinf(_u5266)), _u5267))) | ~hBOOL(hAPP(hAPP(c_member(_u5266), _u5264), _u5267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), _u5264)) )).
% 12.21/12.37 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u5266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5266), _u5267)) | ( _u5267 = c_Orderings_Obot__class_Obot(tc_fun(_u5266, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), hAPP(c_Finite__Set_Ofold1(_u5266, c_Lattices_Osemilattice__inf__class_Oinf(_u5266)), _u5267))) | hBOOL(hAPP(hAPP(c_member(_u5266), skolem102(_u5268, _u5267, _u5266)), _u5267)) )).
% 12.21/12.37 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u5266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5266), _u5267)) | ( _u5267 = c_Orderings_Obot__class_Obot(tc_fun(_u5266, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), hAPP(c_Finite__Set_Ofold1(_u5266, c_Lattices_Osemilattice__inf__class_Oinf(_u5266)), _u5267))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), skolem102(_u5268, _u5267, _u5266))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5269) | ( _u5270 = c_Orderings_Obot__class_Obot(tc_fun(_u5269, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5269), _u5270)) | ( hAPP(c_Finite__Set_Ofold1(_u5269, c_Groups_Otimes__class_Otimes(_u5269)), hAPP(hAPP(c_Set_Oinsert(_u5269), _u5271), _u5270)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5269), _u5271), hAPP(c_Finite__Set_Ofold1(_u5269, c_Groups_Otimes__class_Otimes(_u5269)), _u5270))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5272) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5272), _u5273)) | ( _u5273 = c_Orderings_Obot__class_Obot(tc_fun(_u5272, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5272), _u5274)) | ( _u5274 = c_Orderings_Obot__class_Obot(tc_fun(_u5272, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5272, c_Groups_Otimes__class_Otimes(_u5272)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5272, tc_HOL_Obool)), _u5273), _u5274)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5272), hAPP(c_Finite__Set_Ofold1(_u5272, c_Groups_Otimes__class_Otimes(_u5272)), _u5273)), hAPP(c_Finite__Set_Ofold1(_u5272, c_Groups_Otimes__class_Otimes(_u5272)), _u5274))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5275), _u5276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5275, tc_HOL_Obool)), _u5276), hAPP(hAPP(c_Set_Oinsert(_u5275), _u5277), c_Orderings_Obot__class_Obot(tc_fun(_u5275, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5275), _u5276))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u5278, _u5279, _u5280, _u5281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5279, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5278, _u5279, _u5280), _u5281)), _u5282)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5279), _u5282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5278), _u5281)), hAPP(c_Finite__Set_Ocard(_u5279), _u5282))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5288)) | ~c_Fun_Oinj__on(_u5285, _u5287, _u5283, _u5286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5287, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5285, _u5287, _u5283), _u5286)), _u5288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5285), _u5286)), hAPP(c_Finite__Set_Ocard(_u5287), _u5288))) )).
% 12.21/12.37 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5285), _u5286)), hAPP(c_Finite__Set_Ocard(_u5287), _u5288))) | c_Fun_Oinj__on(_u5285, _u5287, skolem103(_u5288, _u5287, _u5286, _u5285), _u5286) )).
% 12.21/12.37 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5285), _u5286)), hAPP(c_Finite__Set_Ocard(_u5287), _u5288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5287, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5285, _u5287, skolem103(_u5288, _u5287, _u5286, _u5285)), _u5286)), _u5288)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5290), _u5291)) | ~c_Fun_Oinj__on(_u5290, _u5292, _u5293, _u5291) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5289, _u5292, c_Groups_Otimes__class_Otimes(_u5289)), _u5294), _u5295), hAPP(c_Set_Oimage(_u5290, _u5292, _u5293), _u5291)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5289, _u5290, c_Groups_Otimes__class_Otimes(_u5289)), hAPP(c_Fun_Ocomp(_u5292, _u5289, _u5290, _u5294), _u5293)), _u5295), _u5291)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u5296, _u5297, _u5298) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5296), _u5299)) | ( hAPP(_u5298, _u5299) = hAPP(c_Finite__Set_Ofold1(_u5296, _u5297), _u5299)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u5300, _u5301, _u5302, _u5303, _u5304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5301), _u5305)) | ( hAPP(hAPP(_u5304, _u5306), _u5305) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5300, _u5301, _u5302), _u5306), _u5303), _u5305)) )).
% 12.21/12.37 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u5300, _u5301, _u5302, _u5303, _u5304) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5301), _u5305)) | ( hAPP(hAPP(_u5304, _u5306), _u5305) = _u5303) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5309), _u5310)) | ( _u5310 = c_Orderings_Obot__class_Obot(tc_fun(_u5309, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5309), skolem104(_u5310, _u5309)), skolem105(_u5310, _u5309))), hAPP(hAPP(c_Set_Oinsert(_u5309), skolem104(_u5310, _u5309)), hAPP(hAPP(c_Set_Oinsert(_u5309), skolem105(_u5310, _u5309)), c_Orderings_Obot__class_Obot(tc_fun(_u5309, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5309), hAPP(c_Finite__Set_Ofold1(_u5309, c_Groups_Otimes__class_Otimes(_u5309)), _u5310)), _u5310)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5311), _u5312)) | ~hBOOL(hAPP(hAPP(c_member(_u5311), _u5313), _u5312)) | ( hAPP(c_Finite__Set_Ocard(_u5311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5311, tc_HOL_Obool)), _u5312), hAPP(hAPP(c_Set_Oinsert(_u5311), _u5313), c_Orderings_Obot__class_Obot(tc_fun(_u5311, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5311), _u5312)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5314), _u5315)) | ~hBOOL(hAPP(hAPP(c_member(_u5314), _u5316), _u5315)) | ( hAPP(c_Finite__Set_Ocard(_u5314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5314, tc_HOL_Obool)), _u5315), hAPP(hAPP(c_Set_Oinsert(_u5314), _u5316), c_Orderings_Obot__class_Obot(tc_fun(_u5314, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5314), _u5315)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.37 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5314), _u5315)) | hBOOL(hAPP(hAPP(c_member(_u5314), _u5316), _u5315)) | ( hAPP(c_Finite__Set_Ocard(_u5314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5314, tc_HOL_Obool)), _u5315), hAPP(hAPP(c_Set_Oinsert(_u5314), _u5316), c_Orderings_Obot__class_Obot(tc_fun(_u5314, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u5314), _u5315)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5319) | ( hAPP(_u5320, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5319), skolem106(_u5321, _u5320, _u5319)), skolem107(_u5321, _u5320, _u5319))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5319), hAPP(_u5320, skolem106(_u5321, _u5320, _u5319))), hAPP(_u5320, skolem107(_u5321, _u5320, _u5319)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5319), _u5321)) | ( _u5321 = c_Orderings_Obot__class_Obot(tc_fun(_u5319, tc_HOL_Obool))) | ( hAPP(_u5320, hAPP(c_Finite__Set_Ofold1(_u5319, c_Groups_Otimes__class_Otimes(_u5319)), _u5321)) = hAPP(c_Finite__Set_Ofold1(_u5319, c_Groups_Otimes__class_Otimes(_u5319)), hAPP(c_Set_Oimage(_u5319, _u5319, _u5320), _u5321))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5322), _u5323)) | ~hBOOL(hAPP(hAPP(c_member(_u5322), _u5324), _u5323)) | hBOOL(hAPP(hAPP(c_member(_u5322), _u5324), _u5325)) | ( hAPP(c_Finite__Set_Ocard(_u5322), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5322, tc_HOL_Obool)), _u5323), hAPP(hAPP(c_Set_Oinsert(_u5322), _u5324), _u5325))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5322), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5322, tc_HOL_Obool)), _u5323), _u5325))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__UNIV__unit-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u5326) | ( c_Groups_Oone__class_Oone(_u5326) != _u5327) | ( _u5327 = c_Groups_Oone__class_Oone(_u5326)) )).
% 12.21/12.37 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u5326) | ( _u5327 != c_Groups_Oone__class_Oone(_u5326)) | ( c_Groups_Oone__class_Oone(_u5326) = _u5327) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5328), _u5329), c_Groups_Oone__class_Oone(_u5328)) = _u5329) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u5330) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5330), _u5331), c_Groups_Oone__class_Oone(_u5330)) = _u5331) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5332) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), c_Groups_Oone__class_Oone(_u5332)), _u5333) = _u5333) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u5334) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5334), c_Groups_Oone__class_Oone(_u5334)), _u5335) = _u5335) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__mult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5336) = _u5336) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__1__eq__mult__iff-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5339), _u5341)) | ( _u5339 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.37 cnf(fact_nat__1__eq__mult__iff-2, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5339), _u5341)) | ( _u5341 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.37 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u5340 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5342 != 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), _u5340), _u5342)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5343), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5343) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5346), _u5348) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5346 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.37 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5346), _u5348) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5348 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.37 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u5347 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5349 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5347), _u5349) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Oone__class_Oone(_u5350)), _u5351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Oone__class_Oone(_u5350)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Oone__class_Oone(_u5350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5350), _u5351), _u5352))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5354) != c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 = c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), c_Groups_Oone__class_Oone(_u5353))) )).
% 12.21/12.37 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5354) = c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 != c_Groups_Oone__class_Oone(_u5353)) )).
% 12.21/12.37 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5354) = c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), c_Groups_Oone__class_Oone(_u5353))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5356), _u5357)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5355, _u5356, c_Groups_Otimes__class_Otimes(_u5355)), hAPP(hAPP(c_COMBS(_u5356, _u5355, _u5355), hAPP(hAPP(c_COMBB(_u5355, tc_fun(_u5355, _u5355), _u5356), c_Groups_Otimes__class_Otimes(_u5355)), _u5358)), _u5359)), c_Groups_Oone__class_Oone(_u5355)), _u5357) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5355), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5355, _u5356, c_Groups_Otimes__class_Otimes(_u5355)), _u5358), c_Groups_Oone__class_Oone(_u5355)), _u5357)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5355, _u5356, c_Groups_Otimes__class_Otimes(_u5355)), _u5359), c_Groups_Oone__class_Oone(_u5355)), _u5357))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5361), _u5365)) | ( hAPP(hAPP(_u5364, _u5366), _u5365) = _u5363) | ~c_Big__Operators_Ocomm__monoid__big(_u5360, _u5361, _u5362, _u5363, _u5364) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5367) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5368), _u5369)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5368), _u5370)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5367), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), _u5369)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), _u5370)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5367), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5368, tc_HOL_Obool)), _u5369), _u5370))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5368, tc_HOL_Obool)), _u5369), _u5370)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5373), _u5374)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5373), _u5375)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5373, tc_HOL_Obool)), _u5374), _u5375) != c_Orderings_Obot__class_Obot(tc_fun(_u5373, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5372, _u5373, c_Groups_Otimes__class_Otimes(_u5372)), _u5376), c_Groups_Oone__class_Oone(_u5372)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5373, tc_HOL_Obool)), _u5374), _u5375)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5372), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5372, _u5373, c_Groups_Otimes__class_Otimes(_u5372)), _u5376), c_Groups_Oone__class_Oone(_u5372)), _u5374)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5372, _u5373, c_Groups_Otimes__class_Otimes(_u5372)), _u5376), c_Groups_Oone__class_Oone(_u5372)), _u5375))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5377) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), _u5378) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5377), hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), c_Groups_Oone__class_Oone(_u5377))), _u5378)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5380) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5382)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5383)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5381, tc_HOL_Obool)), _u5382), _u5383)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5380), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5382)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5383))) | hBOOL(hAPP(hAPP(c_member(_u5381), skolem108(_u5384, _u5383, _u5382, _u5381, _u5380)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5381, tc_HOL_Obool)), _u5382), _u5383))) )).
% 12.21/12.37 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5380) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5382)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5383)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5381, tc_HOL_Obool)), _u5382), _u5383)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5380), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5382)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5383))) | ( hAPP(_u5384, skolem108(_u5384, _u5383, _u5382, _u5381, _u5380)) != c_Groups_Oone__class_Oone(_u5380)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5385), _u5386)) | ~hBOOL(hAPP(hAPP(c_member(_u5385), _u5387), _u5386)) | ( hAPP(c_Finite__Set_Ocard(_u5385), _u5386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u5385), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5385, tc_HOL_Obool)), _u5386), hAPP(hAPP(c_Set_Oinsert(_u5385), _u5387), c_Orderings_Obot__class_Obot(tc_fun(_u5385, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5388) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5388), c_Groups_Oone__class_Oone(_u5388)), _u5389) = _u5389) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5390) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5391), c_Groups_Oone__class_Oone(_u5390)) = _u5391) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5392), _u5393)) | ( hAPP(c_Finite__Set_Ocard(_u5392), hAPP(hAPP(c_Set_Oinsert(_u5392), _u5394), _u5393)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u5392), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5392, tc_HOL_Obool)), _u5393), hAPP(hAPP(c_Set_Oinsert(_u5392), _u5394), c_Orderings_Obot__class_Obot(tc_fun(_u5392, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5395), _u5396)) | ~hBOOL(hAPP(hAPP(c_member(_u5395), _u5397), _u5396)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5395), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5395, tc_HOL_Obool)), _u5396), hAPP(hAPP(c_Set_Oinsert(_u5395), _u5397), c_Orderings_Obot__class_Obot(tc_fun(_u5395, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u5395), _u5396)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5398), hAPP(c_Nat_OSuc, _u5398))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5399), _u5400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5399)), hAPP(c_Nat_OSuc, _u5400))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5405), _u5407)) | ( _u5407 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5405), skolem109(_u5407, _u5405)))) )).
% 12.21/12.37 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u5408 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5406), _u5402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5406), _u5408)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5409), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5410), _u5409)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5411), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5411), _u5412)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__on__add__nat-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5413), _u5414) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u5415) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u5416 != hAPP(c_Nat_OSuc, _u5416)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5417) != _u5417) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5418), _u5419) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5419), _u5418)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5420), hAPP(c_Nat_OSuc, _u5421)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5420), _u5421))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5423), _u5424)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5422), _u5424))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5425)), _u5426) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5425), _u5426))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5427)), _u5428) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5427), hAPP(c_Nat_OSuc, _u5428))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5431) != hAPP(c_Nat_OSuc, _u5433)) | ( _u5431 = _u5433) )).
% 12.21/12.37 cnf(fact_nat_Oinject-2, axiom, ( ( _u5432 != _u5434) | ( hAPP(c_Nat_OSuc, _u5432) = hAPP(c_Nat_OSuc, _u5434)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5435), _u5436)), _u5437) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5435), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5436), _u5437))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u5443 = _u5445) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5441), _u5443) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5441), _u5445)) )).
% 12.21/12.37 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u5444 != _u5446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5442), _u5444) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5442), _u5446)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5450), _u5452) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5454), _u5452)) | ( _u5450 = _u5454) )).
% 12.21/12.37 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u5451 != _u5455) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5451), _u5453) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5455), _u5453)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5456) != hAPP(c_Nat_OSuc, _u5457)) | ( _u5456 = _u5457) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mono__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mono__Suc-1, axiom, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5458) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5459), _u5460)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5461), _u5462)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5459), _u5461)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5460), _u5462))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5463) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), _u5464), _u5465)), _u5466) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), _u5464), _u5466)), _u5465)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5467) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5468), _u5469)), _u5470) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5469), _u5470))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5471) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), _u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), _u5473), _u5474)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), _u5472), _u5473)), _u5474)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5475) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5477), _u5478)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5476), _u5478))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5479) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5480), _u5481) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5481), _u5480)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u5482) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), _u5483), _u5484)), _u5485) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), _u5483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), _u5484), _u5485))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5486) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5488) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5489)) | ( _u5488 = _u5489) )).
% 12.21/12.37 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5486) | ( _u5488 != _u5489) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5488) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5489)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5490) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5491), _u5492) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5493), _u5492)) | ( _u5491 = _u5493) )).
% 12.21/12.37 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5490) | ( _u5491 != _u5493) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5491), _u5492) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5493), _u5492)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5494) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), _u5495), _u5496) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), _u5495), _u5497)) | ( _u5496 = _u5497) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u5498) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), _u5499), _u5500) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), _u5499), _u5501)) | ( _u5500 = _u5501) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5502) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5503), _u5504) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5505), _u5504)) | ( _u5503 = _u5505) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5506) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5508)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5510)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5508))) | ( _u5507 = _u5509) | ( _u5508 = _u5510) )).
% 12.21/12.37 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5506) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5508)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5510)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5508))) | ( _u5507 != _u5509) )).
% 12.21/12.37 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5506) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5508)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5510)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5508))) | ( _u5508 != _u5510) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5511) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5511), _u5512), _u5513)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5511), _u5514), _u5513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5511), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5511), _u5512), _u5514)), _u5513)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5515) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), _u5516), _u5517)), _u5518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5518)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5517), _u5518))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5519) | ( _u5520 = _u5521) | ( _u5522 = _u5523) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5523)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5523)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5522))) )).
% 12.21/12.37 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5523)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5522))) | ( _u5520 != _u5521) )).
% 12.21/12.37 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5523)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5522))) | ( _u5522 != _u5523) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5524) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5525), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5524), _u5526), _u5527)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5525), _u5526)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5525), _u5527))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5528), hAPP(c_Nat_OSuc, _u5529)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5528), _u5529))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5530)), _u5531) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5530), _u5531))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5532), _u5533)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5534), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5533), _u5532))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5534), _u5532)), hAPP(c_Nat_OSuc, _u5533))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5535), _u5536)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5536), _u5535))), _u5537) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5535), _u5537))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5539), _u5540)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5541), _u5540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), _u5539), _u5541)) )).
% 12.21/12.37 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), _u5539), _u5541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5539), _u5540)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5541), _u5540))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5545))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), _u5544), _u5545)) )).
% 12.21/12.37 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), _u5544), _u5545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5545))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), _u5548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5546), _u5547), _u5549)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5546), _u5548), _u5549))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5551), _u5552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5550), _u5553), _u5551)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5550), _u5553), _u5552))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5557), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5554), _u5555), _u5557)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5554), _u5556), _u5558))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5559), _u5560), _u5561)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5559), _u5562), _u5561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), _u5560), _u5562)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5563), _u5564), _u5565)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5563), _u5564), _u5566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), _u5565), _u5566)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5567), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5567), _u5568), _u5569)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5567), _u5568), _u5570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5567), _u5569), _u5570)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5571), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5571), _u5572), _u5573)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5571), _u5574), _u5573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5571), _u5572), _u5574)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5576), _u5577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5578), _u5579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5575), _u5576), _u5578)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5575), _u5577), _u5579))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), _u5581), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5580), _u5583), _u5581)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5580), _u5583), _u5582))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), _u5585), _u5586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5584), _u5585), _u5587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5584), _u5586), _u5587))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), _u5591)) )).
% 12.21/12.37 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5591))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5593), _u5594)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5595), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5593), _u5595)) )).
% 12.21/12.37 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5593), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5593), _u5594)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5595), _u5594))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_mono__iff__le__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_mono__iff__le__Suc-1, axiom, ( ~class_Orderings_Oorder(_u5598) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u5598, _u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(_u5599, _u5596)), hAPP(_u5599, hAPP(c_Nat_OSuc, _u5596)))) )).
% 12.21/12.37 cnf(fact_mono__iff__le__Suc-2, axiom, ( ~class_Orderings_Oorder(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(_u5599, skolem110(_u5599, _u5598))), hAPP(_u5599, hAPP(c_Nat_OSuc, skolem110(_u5599, _u5598))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u5598, _u5599) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u5600) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5600), _u5601), _u5602)), _u5603) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), _u5601), _u5603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), _u5602), _u5603))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u5604) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), _u5605), _u5606)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), _u5607), _u5606)), _u5608)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), _u5605), _u5607)), _u5606)), _u5608)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5609) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5609), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5609), _u5610), _u5611)), _u5611) = _u5610) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5612) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5612), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5612), _u5613), _u5614)), _u5614) = _u5613) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u5615) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5615), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5615), _u5616), _u5617)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5615), hAPP(c_Groups_Ouminus__class_Ouminus(_u5615), _u5616)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5615), _u5617))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5618) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5618), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5618), _u5619), _u5620)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5618), hAPP(c_Groups_Ouminus__class_Ouminus(_u5618), _u5620)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5618), _u5619))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5621) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5621), _u5622), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5621), hAPP(c_Groups_Ouminus__class_Ouminus(_u5621), _u5622)), _u5623)) = _u5623) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5624) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5624), hAPP(c_Groups_Ouminus__class_Ouminus(_u5624), _u5625)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5624), _u5625), _u5626)) = _u5626) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5629), _u5631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5631), hAPP(c_Nat_OSuc, _u5629))) )).
% 12.21/12.37 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5632), hAPP(c_Nat_OSuc, _u5630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5630), _u5632)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5635), hAPP(c_Nat_OSuc, _u5637))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5635), _u5637)) | ( _u5635 = _u5637) )).
% 12.21/12.37 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), hAPP(c_Nat_OSuc, _u5638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), _u5638)) )).
% 12.21/12.37 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), hAPP(c_Nat_OSuc, _u5638))) | ( _u5636 != _u5638) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5641)), hAPP(c_Nat_OSuc, _u5643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5641), _u5643)) )).
% 12.21/12.37 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5642), _u5644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5642)), hAPP(c_Nat_OSuc, _u5644))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), _u5646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), hAPP(c_Nat_OSuc, _u5646))) | ( _u5645 = _u5646) )).
% 12.21/12.37 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), _u5646)) | ( _u5645 != _u5646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), hAPP(c_Nat_OSuc, _u5646))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5647), _u5648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5647), hAPP(c_Nat_OSuc, _u5648))) | ( _u5648 = _u5647) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5649), _u5650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5649), hAPP(c_Nat_OSuc, _u5650))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5651), _u5652)) | ( hAPP(c_Nat_OSuc, _u5651) = _u5652) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5651)), _u5652)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5653), _u5654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5654), _u5655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5653)), _u5655)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5656), hAPP(c_Nat_OSuc, _u5657))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5656), _u5657)) | ( _u5656 = _u5657) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5658)), _u5659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5658), _u5659)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5660)), hAPP(c_Nat_OSuc, _u5661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5660), _u5661)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5662)), _u5663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5662), _u5663)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5664), hAPP(c_Nat_OSuc, _u5665))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5664), _u5665)) | ( _u5664 = hAPP(c_Nat_OSuc, _u5665)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5666), _u5667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5666), hAPP(c_Nat_OSuc, _u5667))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5670)), hAPP(c_Nat_OSuc, _u5672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5670), _u5672)) )).
% 12.21/12.37 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5671), _u5673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5671)), hAPP(c_Nat_OSuc, _u5673))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5676), hAPP(c_Nat_OSuc, _u5678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5676), _u5678)) | ( _u5676 = hAPP(c_Nat_OSuc, _u5678)) )).
% 12.21/12.37 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5677), hAPP(c_Nat_OSuc, _u5679))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5677), _u5679)) )).
% 12.21/12.37 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5677), hAPP(c_Nat_OSuc, _u5679))) | ( _u5677 != hAPP(c_Nat_OSuc, _u5679)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5682), _u5684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5684)), _u5682)) )).
% 12.21/12.37 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5685)), _u5683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5683), _u5685)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.21/12.37 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, _u5686)), _u5686)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5687), _u5688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5687), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5688), _u5689))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5690), _u5691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5690), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5692), _u5691))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__add__less1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5693), _u5694)), _u5693)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_not__add__less2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5695), _u5696)), _u5696)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5702), _u5704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5700), _u5702)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5700), _u5704))) )).
% 12.21/12.37 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5703), _u5705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), _u5703)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), _u5705))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5706), _u5707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5706), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5707), _u5708))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5709), _u5710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5709), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5711), _u5710))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5712), _u5713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5712), _u5714)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5713), _u5714))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5715), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5717), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5715), _u5717)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5716), _u5718))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5719), _u5720)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5721), _u5720) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5719), _u5722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5721), _u5722)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__lessD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5723), _u5724)), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5723), _u5725)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5726)), hAPP(c_Nat_OSuc, _u5727)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5726), _u5727)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 12.21/12.37 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, _u5728)), _u5729)), hAPP(c_Nat_OSuc, _u5730)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5728), _u5729)), _u5730)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u5736 = _u5738) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5734)), _u5736) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5734)), _u5738)) )).
% 12.21/12.37 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u5737 != _u5739) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5735)), _u5737) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5735)), _u5739)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5740), _u5741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5740), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5742), _u5741))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5743), _u5744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5743), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5744), _u5745))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__leE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5746), _u5747)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5746), _u5748)) )).
% 12.21/12.37 cnf(fact_add__leE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5746), _u5747)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5747), _u5748)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__leD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5749), _u5750)), _u5751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5749), _u5751)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5753), _u5754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), _u5753)), _u5754)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5755), _u5756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5757), _u5758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5755), _u5757)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5756), _u5758))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5759), _u5760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5759), _u5761)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5760), _u5761))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5764), _u5763))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5766), _u5767))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5773), _u5775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5771), _u5773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5771), _u5775))) )).
% 12.21/12.37 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5774), _u5776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), _u5774)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), _u5776))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5781), _u5783)) | ( _u5783 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5781), skolem111(_u5783, _u5781))) )).
% 12.21/12.37 cnf(fact_le__iff__add-2, axiom, ( ( _u5784 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5782), _u5778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5782), _u5784)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5785), _u5786))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5787), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5788), _u5787))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__add__inverse2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5789), _u5790)), _u5790) = _u5789) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__add__inverse-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5791), _u5792)), _u5791) = _u5792) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__diff__left-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5793), _u5794)), _u5795) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5794), _u5795))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5796), _u5797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5796), _u5798)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5797), _u5798)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5799), _u5800)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5801), _u5800)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5799), _u5801)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5802), _u5803)), _u5804) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5802), _u5804)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5803), _u5804))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5805), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5806), _u5807)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5805), _u5806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5805), _u5807))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5808) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5808), _u5809), _u5810)), _u5810) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5808), _u5809), c_Groups_Oone__class_Oone(_u5808))), _u5810)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5811) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5811), _u5812), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5811), _u5813), _u5812)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5811), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5811), _u5813), c_Groups_Oone__class_Oone(_u5811))), _u5812)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5814) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5814), _u5815), _u5815) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5814), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5814), c_Groups_Oone__class_Oone(_u5814)), c_Groups_Oone__class_Oone(_u5814))), _u5815)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5816) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5816), _u5817), _u5818) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5816), _u5817), hAPP(c_Groups_Ouminus__class_Ouminus(_u5816), _u5818))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5819) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5819), _u5820), _u5821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5819), _u5822), _u5823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5819), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5819), _u5820), _u5822)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5819), _u5821), _u5823))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5824), _u5825), _u5826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5824), _u5827), _u5828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5824), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5824), _u5825), _u5827)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5824), _u5826), _u5828))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5829) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5829), _u5830), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5829), _u5830), c_Groups_Oone__class_Oone(_u5829)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u5831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5832), _u5833)), _u5834) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5835), _u5833)), _u5836)) | ( _u5834 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5831), _u5835), _u5832)), _u5833)), _u5836)) )).
% 12.21/12.37 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u5831) | ( _u5834 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5831), _u5835), _u5832)), _u5833)), _u5836)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5832), _u5833)), _u5834) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5835), _u5833)), _u5836)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u5837) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5838), _u5839)), _u5840) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5841), _u5839)), _u5842)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5837), _u5838), _u5841)), _u5839)), _u5840) = _u5842) )).
% 12.21/12.37 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u5837) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5837), _u5838), _u5841)), _u5839)), _u5840) != _u5842) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5838), _u5839)), _u5840) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5841), _u5839)), _u5842)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u5843) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5843), _u5844), _u5845) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5843), _u5844), hAPP(c_Groups_Ouminus__class_Ouminus(_u5843), _u5845))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5846) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5846), _u5847), _u5848) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5846), _u5847), hAPP(c_Groups_Ouminus__class_Ouminus(_u5846), _u5848))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5849) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5849), _u5850), hAPP(c_Groups_Ouminus__class_Ouminus(_u5849), _u5851)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5849), _u5850), _u5851)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5852)), _u5853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5852), _u5853)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5854), _u5855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5855), hAPP(c_Nat_OSuc, _u5854))) | ( _u5855 = _u5854) )).
% 12.21/12.37 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5854), _u5855)) | ( _u5855 != _u5854) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5855), hAPP(c_Nat_OSuc, _u5854))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5856), _u5857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5856)), _u5857)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5858), _u5859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5858), hAPP(c_Nat_OSuc, _u5859))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5862)), _u5864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5862), _u5864)) )).
% 12.21/12.37 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5863), _u5865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5863)), _u5865)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5868), hAPP(c_Nat_OSuc, _u5870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5868), _u5870)) )).
% 12.21/12.37 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5869), _u5871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5869), hAPP(c_Nat_OSuc, _u5871))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5874), _u5876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5874)), _u5876)) )).
% 12.21/12.37 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5875)), _u5877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5875), _u5877)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.21/12.37 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), _u5878), _u5879)), hAPP(c_Nat_OSuc, _u5878))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5885), _u5887)) | ~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, _u5883)), _u5885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5883)), _u5887))) )).
% 12.21/12.37 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5886), _u5888)) | 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, _u5884)), _u5886)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5884)), _u5888))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5889), _u5890)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5890)), _u5889) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5890), _u5889))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5896), _u5898)) | ~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, _u5894)), _u5896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5894)), _u5898))) )).
% 12.21/12.37 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5897), _u5899)) | 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, _u5895)), _u5897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5895)), _u5899))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5903), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5905), _u5907))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5903), _u5907)), _u5905)) )).
% 12.21/12.37 cnf(fact_less__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5904), _u5908)), _u5906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5904), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5906), _u5908))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5909), _u5910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5909), _u5910)) = _u5909) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5912), _u5911)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5913), _u5911)), _u5912)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5917), _u5919)), _u5921)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5921), _u5919))) )).
% 12.21/12.37 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5918), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5922), _u5920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5918), _u5920)), _u5922)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5923), _u5924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5925), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5924), _u5925)), _u5923))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5926), _u5927)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5926), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5927), _u5926)) = _u5927) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5928), _u5929)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5930), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5929), _u5928)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5930), _u5929)), _u5928)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5931), _u5932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5932), _u5931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5933), _u5931)), _u5932)) )).
% 12.21/12.37 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5931), _u5932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5933), _u5931)), _u5932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5932), _u5931))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5934), _u5935)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5935), _u5934)), _u5934) = _u5935) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5936), _u5937)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5937), _u5936) != _u5938) | ( _u5937 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5938), _u5936)) )).
% 12.21/12.37 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5936), _u5937)) | ( _u5937 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5938), _u5936)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5937), _u5936) = _u5938) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5939), _u5940)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5941), _u5940)), _u5939) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5941), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5940), _u5939))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5942), _u5943)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5943), _u5942)), _u5944) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5943), _u5944)), _u5942)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5945), _u5946)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5946), _u5947)), _u5945) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5946), _u5945)), _u5947)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5948)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5948) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5949) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5949))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5951), _u5952)), _u5953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5954), _u5952)), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), _u5953), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5950), _u5954), _u5951)), _u5952)), _u5955))) )).
% 12.21/12.37 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), _u5953), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5950), _u5954), _u5951)), _u5952)), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5951), _u5952)), _u5953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5954), _u5952)), _u5955))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u5956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5957), _u5958)), _u5959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5960), _u5958)), _u5961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5957), _u5960)), _u5958)), _u5959)), _u5961)) )).
% 12.21/12.37 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u5956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5957), _u5960)), _u5958)), _u5959)), _u5961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5957), _u5958)), _u5959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5960), _u5958)), _u5961))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u5962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5963), _u5964)), _u5965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5966), _u5964)), _u5967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), _u5965), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5962), _u5966), _u5963)), _u5964)), _u5967))) )).
% 12.21/12.37 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u5962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), _u5965), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5962), _u5966), _u5963)), _u5964)), _u5967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5963), _u5964)), _u5965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5966), _u5964)), _u5967))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u5968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5969), _u5970)), _u5971)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5972), _u5970)), _u5973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5968), _u5969), _u5972)), _u5970)), _u5971)), _u5973)) )).
% 12.21/12.37 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u5968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5968), _u5969), _u5972)), _u5970)), _u5971)), _u5973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5969), _u5970)), _u5971)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5972), _u5970)), _u5973))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5975), _u5976)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5977), _u5978)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5975), _u5977)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5976), _u5978))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5979) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5980), _u5981)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5982), _u5983)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5980), _u5981)), _u5983))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5984) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5985), _u5986)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5987), _u5988)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5985), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5987), _u5988)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5989) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), _u5990), _u5991)), _u5992) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), _u5990), _u5992)), _u5991)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5993) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), _u5994), _u5995)), _u5996) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), _u5994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), _u5995), _u5996))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5997) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), _u5998), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), _u5999), _u6000)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), _u5998), _u5999)), _u6000)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6001) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6003), _u6004)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6002), _u6004))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6005) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6005), _u6006), _u6007) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6005), _u6007), _u6006)) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6008), _u6009)) | hBOOL(hAPP(hAPP(c_member(_u6008), _u6010), _u6009)) | ( hAPP(c_Finite__Set_Ocard(_u6008), hAPP(hAPP(c_Set_Oinsert(_u6008), _u6010), _u6009)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6008), _u6009))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6011), _u6012)) | ~hBOOL(hAPP(hAPP(c_member(_u6011), _u6013), _u6012)) | ( hAPP(c_Finite__Set_Ocard(_u6011), hAPP(hAPP(c_Set_Oinsert(_u6011), _u6013), _u6012)) = hAPP(c_Finite__Set_Ocard(_u6011), _u6012)) )).
% 12.21/12.37 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6011), _u6012)) | hBOOL(hAPP(hAPP(c_member(_u6011), _u6013), _u6012)) | ( hAPP(c_Finite__Set_Ocard(_u6011), hAPP(hAPP(c_Set_Oinsert(_u6011), _u6013), _u6012)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6011), _u6012))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6014), _u6015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6014), _u6016)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6014), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6014, tc_HOL_Obool)), _u6015), _u6016))), hAPP(c_Finite__Set_Ocard(_u6014), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6014, tc_HOL_Obool)), _u6015), _u6016))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6014), _u6015)), hAPP(c_Finite__Set_Ocard(_u6014), _u6016))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6017), _u6018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6017), _u6019)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6017), _u6018)), hAPP(c_Finite__Set_Ocard(_u6017), _u6019)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6017), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6017, tc_HOL_Obool)), _u6018), _u6019))), hAPP(c_Finite__Set_Ocard(_u6017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6017, tc_HOL_Obool)), _u6018), _u6019)))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6020), _u6021)) | ( hAPP(c_Finite__Set_Ocard(_u6020), hAPP(hAPP(c_Set_Oinsert(_u6020), _u6022), _u6021)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6020), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6020, tc_HOL_Obool)), _u6021), hAPP(hAPP(c_Set_Oinsert(_u6020), _u6022), c_Orderings_Obot__class_Obot(tc_fun(_u6020, tc_HOL_Obool))))))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6023), _u6024)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6023), _u6025)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6023, tc_HOL_Obool)), _u6024), _u6025) != c_Orderings_Obot__class_Obot(tc_fun(_u6023, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u6023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6023, tc_HOL_Obool)), _u6024), _u6025)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6023), _u6024)), hAPP(c_Finite__Set_Ocard(_u6023), _u6025))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6026), _u6027)) | hBOOL(hAPP(hAPP(c_member(_u6026), _u6028), _u6027)) | ( hAPP(c_Finite__Set_Ocard(_u6026), hAPP(hAPP(c_Set_Oinsert(_u6026), _u6028), _u6027)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6026), _u6027))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6029), _u6030)) | ~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), _u6029), _u6031)), _u6032)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6030), _u6031)), _u6033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6032), 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), _u6030), _u6029)), _u6031)), _u6033))) )).
% 12.21/12.37 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6029), _u6030)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6032), 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), _u6030), _u6029)), _u6031)), _u6033))) | 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), _u6029), _u6031)), _u6032)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6030), _u6031)), _u6033))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6034), _u6035)) | ~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), _u6035), _u6036)), _u6037)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6034), _u6036)), _u6038))) | 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), _u6035), _u6034)), _u6036)), _u6037)), _u6038)) )).
% 12.21/12.37 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6034), _u6035)) | ~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), _u6035), _u6034)), _u6036)), _u6037)), _u6038)) | 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), _u6035), _u6036)), _u6037)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6034), _u6036)), _u6038))) )).
% 12.21/12.37
% 12.21/12.37 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 12.21/12.37 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6039), _u6040)) | ~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), _u6040), _u6041)), _u6042)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6039), _u6041)), _u6043))) | 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), _u6040), _u6039)), _u6041)), _u6042)), _u6043)) )).
% 12.21/12.37 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6039), _u6040)) | ~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), _u6040), _u6039)), _u6041)), _u6042)), _u6043)) | 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), _u6040), _u6041)), _u6042)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6039), _u6041)), _u6043))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6044), _u6045)) | ( 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), _u6045), _u6046)), _u6047)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6044), _u6046)), _u6048)) = 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), _u6045), _u6044)), _u6046)), _u6047)), _u6048)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6049), _u6050)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6050), _u6051)), _u6052) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6049), _u6051)), _u6053)) | ( 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), _u6050), _u6049)), _u6051)), _u6052) = _u6053) )).
% 12.21/12.38 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6049), _u6050)) | ( 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), _u6050), _u6049)), _u6051)), _u6052) != _u6053) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6050), _u6051)), _u6052) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6049), _u6051)), _u6053)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6054), _u6055)) | ~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), _u6054), _u6056)), _u6057)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6055), _u6056)), _u6058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6057), 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), _u6055), _u6054)), _u6056)), _u6058))) )).
% 12.21/12.38 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6054), _u6055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6057), 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), _u6055), _u6054)), _u6056)), _u6058))) | 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), _u6054), _u6056)), _u6057)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6055), _u6056)), _u6058))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6059), _u6060)) | ( 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), _u6059), _u6061)), _u6062)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6060), _u6061)), _u6063)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6062), 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), _u6060), _u6059)), _u6061)), _u6063))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.38 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), _u6064), _u6065)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6066), _u6065)), _u6067)) = 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), _u6064), _u6066)), _u6065)), _u6067)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6068), _u6069)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6068), _u6070)), _u6071) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6069), _u6070)), _u6072)) | ( _u6071 = 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), _u6069), _u6068)), _u6070)), _u6072)) )).
% 12.21/12.38 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6068), _u6069)) | ( _u6071 != 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), _u6069), _u6068)), _u6070)), _u6072)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6068), _u6070)), _u6071) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6069), _u6070)), _u6072)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6073), hAPP(c_Nat_OSuc, _u6074)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6073), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6074)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6075) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6075), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6076) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6076)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6077, _u6078)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6077, _u6078), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u6078), c_Orderings_Otop__class_Otop(tc_fun(_u6078, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6077), c_Orderings_Otop__class_Otop(tc_fun(_u6077, tc_HOL_Obool)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6079) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6079), _u6080)) | ( _u6080 = c_Orderings_Obot__class_Obot(tc_fun(_u6079, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6079), _u6081), c_Big__Operators_Olinorder__class_OMax(_u6079, _u6080)) = c_Big__Operators_Olinorder__class_OMax(_u6079, hAPP(c_Set_OCollect(_u6079), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_HOL_Obool), tc_HOL_Obool, _u6079), c_HOL_OEx(_u6079)), hAPP(hAPP(c_COMBC(_u6079, tc_fun(_u6079, tc_HOL_Obool), tc_fun(_u6079, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6079, tc_HOL_Obool), tc_fun(_u6079, tc_HOL_Obool)), _u6079), c_COMBS(_u6079, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_HOL_Obool), tc_fun(_u6079, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6079), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6079), c_fconj)), hAPP(hAPP(c_COMBC(_u6079, tc_fun(_u6079, _u6079), tc_fun(_u6079, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_HOL_Obool), tc_fun(tc_fun(_u6079, _u6079), tc_fun(_u6079, tc_HOL_Obool)), _u6079), c_COMBB(_u6079, tc_HOL_Obool, _u6079)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6079), _u6081))))), hAPP(hAPP(c_COMBC(_u6079, tc_fun(_u6079, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6079)), _u6080)))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6082) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6082), _u6083)) | ( _u6083 = c_Orderings_Obot__class_Obot(tc_fun(_u6082, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6082), _u6084), c_Big__Operators_Olinorder__class_OMin(_u6082, _u6083)) = c_Big__Operators_Olinorder__class_OMin(_u6082, hAPP(c_Set_OCollect(_u6082), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_HOL_Obool), tc_HOL_Obool, _u6082), c_HOL_OEx(_u6082)), hAPP(hAPP(c_COMBC(_u6082, tc_fun(_u6082, tc_HOL_Obool), tc_fun(_u6082, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6082, tc_HOL_Obool), tc_fun(_u6082, tc_HOL_Obool)), _u6082), c_COMBS(_u6082, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_HOL_Obool), tc_fun(_u6082, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6082), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6082), c_fconj)), hAPP(hAPP(c_COMBC(_u6082, tc_fun(_u6082, _u6082), tc_fun(_u6082, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_HOL_Obool), tc_fun(tc_fun(_u6082, _u6082), tc_fun(_u6082, tc_HOL_Obool)), _u6082), c_COMBB(_u6082, tc_HOL_Obool, _u6082)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6082), _u6084))))), hAPP(hAPP(c_COMBC(_u6082, tc_fun(_u6082, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6082)), _u6083)))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6085), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_le0-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6086)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__Suc-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u6087))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u6088) | ( c_Groups_Ozero__class_Ozero(_u6088) != _u6089) | ( _u6089 = c_Groups_Ozero__class_Ozero(_u6088)) )).
% 12.21/12.38 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u6088) | ( _u6089 != c_Groups_Ozero__class_Ozero(_u6088)) | ( c_Groups_Ozero__class_Ozero(_u6088) = _u6089) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6090) | ( _u6091 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6090), _u6091), _u6092)) | ( _u6092 = c_Groups_Ozero__class_Ozero(_u6090)) )).
% 12.21/12.38 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6090) | ( _u6092 != c_Groups_Ozero__class_Ozero(_u6090)) | ( _u6091 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6090), _u6091), _u6092)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6093) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6093), _u6094), c_Groups_Ozero__class_Ozero(_u6093)) = _u6094) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6095) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6095), c_Groups_Ozero__class_Ozero(_u6095)), _u6096) = _u6096) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u6097) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6097), c_Groups_Ozero__class_Ozero(_u6097)), _u6098) = _u6098) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6099) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6099), c_Groups_Ozero__class_Ozero(_u6099)), _u6100) = _u6100) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6101) | ( c_Groups_Ozero__class_Ozero(_u6101) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6101), _u6102), _u6102)) | ( _u6102 = c_Groups_Ozero__class_Ozero(_u6101)) )).
% 12.21/12.38 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6101) | ( _u6102 != c_Groups_Ozero__class_Ozero(_u6101)) | ( c_Groups_Ozero__class_Ozero(_u6101) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6101), _u6102), _u6102)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u6103) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6103), _u6104), c_Groups_Ozero__class_Ozero(_u6103)) = _u6104) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6105) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6105), _u6106), c_Groups_Ozero__class_Ozero(_u6105)) = _u6106) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6107) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6107), _u6108), c_Groups_Ozero__class_Ozero(_u6107)) = c_Groups_Ozero__class_Ozero(_u6107)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6109) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6109), c_Groups_Ozero__class_Ozero(_u6109)), _u6110) = c_Groups_Ozero__class_Ozero(_u6109)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u6111) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6111), c_Groups_Ozero__class_Ozero(_u6111)), _u6112) = c_Groups_Ozero__class_Ozero(_u6111)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u6113) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6113), _u6114), c_Groups_Ozero__class_Ozero(_u6113)) = c_Groups_Ozero__class_Ozero(_u6113)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6115) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6115), _u6116), _u6117) != c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6116 = c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6117 = c_Groups_Ozero__class_Ozero(_u6115)) )).
% 12.21/12.38 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6115) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6115), _u6116), _u6117) = c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6116 != c_Groups_Ozero__class_Ozero(_u6115)) )).
% 12.21/12.38 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6115) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6115), _u6116), _u6117) = c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6117 != c_Groups_Ozero__class_Ozero(_u6115)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u6118) | ( _u6119 = c_Groups_Ozero__class_Ozero(_u6118)) | ( _u6120 = c_Groups_Ozero__class_Ozero(_u6118)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6118), _u6119), _u6120) != c_Groups_Ozero__class_Ozero(_u6118)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u6121) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6121), _u6122), _u6123) != c_Groups_Ozero__class_Ozero(_u6121)) | ( _u6122 = c_Groups_Ozero__class_Ozero(_u6121)) | ( _u6123 = c_Groups_Ozero__class_Ozero(_u6121)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u6124) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6124), _u6125), _u6126) != c_Groups_Ozero__class_Ozero(_u6124)) | ( _u6125 = _u6126) )).
% 12.21/12.38 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u6124) | ( _u6125 != _u6126) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6124), _u6125), _u6126) = c_Groups_Ozero__class_Ozero(_u6124)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u6127) | ( _u6128 != _u6129) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6127), _u6128), _u6129) = c_Groups_Ozero__class_Ozero(_u6127)) )).
% 12.21/12.38 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u6127) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6127), _u6128), _u6129) != c_Groups_Ozero__class_Ozero(_u6127)) | ( _u6128 = _u6129) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u6130) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6130), _u6131), _u6131) = c_Groups_Ozero__class_Ozero(_u6130)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u6132) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6132), _u6133), c_Groups_Ozero__class_Ozero(_u6132)) = _u6133) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u6134) | ( c_Groups_Oone__class_Oone(_u6134) != c_Groups_Ozero__class_Ozero(_u6134)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u6135) | ( c_Groups_Ozero__class_Ozero(_u6135) != c_Groups_Oone__class_Oone(_u6135)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u6136) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6136), c_Groups_Ozero__class_Ozero(_u6136)) = c_Groups_Ozero__class_Ozero(_u6136)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u6137) | ( c_Groups_Ozero__class_Ozero(_u6137) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6137), _u6138)) | ( c_Groups_Ozero__class_Ozero(_u6137) = _u6138) )).
% 12.21/12.38 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u6137) | ( c_Groups_Ozero__class_Ozero(_u6137) != _u6138) | ( c_Groups_Ozero__class_Ozero(_u6137) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6137), _u6138)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6139) | ( _u6140 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6139), _u6140)) | ( _u6140 = c_Groups_Ozero__class_Ozero(_u6139)) )).
% 12.21/12.38 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6139) | ( _u6140 != c_Groups_Ozero__class_Ozero(_u6139)) | ( _u6140 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6139), _u6140)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u6141) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6141), _u6142) != c_Groups_Ozero__class_Ozero(_u6141)) | ( _u6142 = c_Groups_Ozero__class_Ozero(_u6141)) )).
% 12.21/12.38 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u6141) | ( _u6142 != c_Groups_Ozero__class_Ozero(_u6141)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6141), _u6142) = c_Groups_Ozero__class_Ozero(_u6141)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6143) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6143), _u6144) != _u6144) | ( _u6144 = c_Groups_Ozero__class_Ozero(_u6143)) )).
% 12.21/12.38 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6143) | ( _u6144 != c_Groups_Ozero__class_Ozero(_u6143)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6143), _u6144) = _u6144) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6145)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6146)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6147) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6148) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6149)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6150) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6151), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neq0__conv-1, axiom, ( ( _u6153 = 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)), _u6153)) )).
% 12.21/12.38 cnf(fact_neq0__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6154)) | ( _u6154 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6155), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_gr__implies__not0-1, axiom, ( ( _u6157 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6156), _u6157)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_gr0I-1, axiom, ( ( _u6158 = 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)), _u6158)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_plus__nat_Oadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6159) = _u6159) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6160), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6160) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6163), _u6165) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6163 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6163), _u6165) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_add__is__0-3, axiom, ( ( _u6164 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6166 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6164), _u6166) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u6168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6167), _u6168) != _u6167) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6170), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6170 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_le__0__eq-2, axiom, ( ( _u6171 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6171), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__eq__nat_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6172)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__0__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6173) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6174), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6174) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6175), _u6175) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6176), _u6177) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6177), _u6176) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6176 = _u6177) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6181), _u6183) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6183)) | ( _u6181 = _u6185) | ( _u6183 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6182), _u6184) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6184)) | ( _u6182 != _u6186) )).
% 12.21/12.38 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6182), _u6184) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6184)) | ( _u6184 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6190), _u6192) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6190), _u6194)) | ( _u6192 = _u6194) | ( _u6190 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6193) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6195)) | ( _u6193 != _u6195) )).
% 12.21/12.38 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6193) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6195)) | ( _u6191 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6198), _u6200) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6201) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6199 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6201) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6201 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6202), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6203) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6207), _u6209) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6207), _u6211)) | ( _u6207 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6209 = _u6211) )).
% 12.21/12.38 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6212)) | ( _u6208 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6212)) | ( _u6210 != _u6212) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6214), _u6214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6215), _u6215)) != c_Groups_Ozero__class_Ozero(_u6213)) | ( _u6214 = c_Groups_Ozero__class_Ozero(_u6213)) )).
% 12.21/12.38 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6214), _u6214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6215), _u6215)) != c_Groups_Ozero__class_Ozero(_u6213)) | ( _u6215 = c_Groups_Ozero__class_Ozero(_u6213)) )).
% 12.21/12.38 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6213) | ( _u6214 != c_Groups_Ozero__class_Ozero(_u6213)) | ( _u6215 != c_Groups_Ozero__class_Ozero(_u6213)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6214), _u6214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6215), _u6215)) = c_Groups_Ozero__class_Ozero(_u6213)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Least__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Least__Suc-1, axiom, ( ~hBOOL(hAPP(_u6216, _u6217)) | hBOOL(hAPP(_u6216, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u6216) = 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), _u6216), c_Nat_OSuc)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6219), _u6219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6220))), c_Groups_Ozero__class_Ozero(_u6218))) | ( _u6219 = c_Groups_Ozero__class_Ozero(_u6218)) )).
% 12.21/12.38 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6219), _u6219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6220))), c_Groups_Ozero__class_Ozero(_u6218))) | ( _u6220 = c_Groups_Ozero__class_Ozero(_u6218)) )).
% 12.21/12.38 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6218) | ( _u6219 != c_Groups_Ozero__class_Ozero(_u6218)) | ( _u6220 != c_Groups_Ozero__class_Ozero(_u6218)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6219), _u6219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6220))), c_Groups_Ozero__class_Ozero(_u6218))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), c_Groups_Ozero__class_Ozero(_u6221)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6221), _u6222), _u6222)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6221), _u6223), _u6223)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6226), _u6226)))) | ( _u6225 != c_Groups_Ozero__class_Ozero(_u6224)) | ( _u6226 != c_Groups_Ozero__class_Ozero(_u6224)) )).
% 12.21/12.38 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6226), _u6226)))) | ( _u6225 = c_Groups_Ozero__class_Ozero(_u6224)) )).
% 12.21/12.38 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6226), _u6226)))) | ( _u6226 = c_Groups_Ozero__class_Ozero(_u6224)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6227), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6228)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6229), _u6229))), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6230), _u6231), _u6231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) )).
% 12.21/12.38 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6230), _u6231), _u6231))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6233), _u6233)), c_Groups_Ozero__class_Ozero(_u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), _u6233), c_Groups_Ozero__class_Ozero(_u6232))) )).
% 12.21/12.38 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), _u6233), c_Groups_Ozero__class_Ozero(_u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6233), _u6233)), c_Groups_Ozero__class_Ozero(_u6232))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), c_Groups_Ozero__class_Ozero(_u6234)), _u6235)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), c_Groups_Ozero__class_Ozero(_u6234)), _u6236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), c_Groups_Ozero__class_Ozero(_u6234)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6234), _u6235), _u6236))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6239)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6238), _u6239) != c_Groups_Ozero__class_Ozero(_u6237)) | ( _u6238 = c_Groups_Ozero__class_Ozero(_u6237)) )).
% 12.21/12.38 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6239)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6238), _u6239) != c_Groups_Ozero__class_Ozero(_u6237)) | ( _u6239 = c_Groups_Ozero__class_Ozero(_u6237)) )).
% 12.21/12.38 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6239)) | ( _u6238 != c_Groups_Ozero__class_Ozero(_u6237)) | ( _u6239 != c_Groups_Ozero__class_Ozero(_u6237)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6238), _u6239) = c_Groups_Ozero__class_Ozero(_u6237)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), c_Groups_Ozero__class_Ozero(_u6240)), _u6241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), _u6242), _u6243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), _u6242), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6240), _u6241), _u6243))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6244), c_Groups_Ozero__class_Ozero(_u6244)), _u6245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6244), _u6246), _u6247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6244), _u6246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6244), _u6247), _u6245))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), c_Groups_Ozero__class_Ozero(_u6248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6250), c_Groups_Ozero__class_Ozero(_u6248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6248), _u6249), _u6250)), c_Groups_Ozero__class_Ozero(_u6248))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u6251) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), c_Groups_Ozero__class_Ozero(_u6251)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6251), _u6252), _u6252))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6254), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.38 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6255), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.38 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6254), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.38 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6255), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.38 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6255)) )).
% 12.21/12.38 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6254), c_Groups_Ozero__class_Ozero(_u6253))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6255), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), c_Groups_Ozero__class_Ozero(_u6256))) )).
% 12.21/12.38 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6258)) )).
% 12.21/12.38 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6258), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), c_Groups_Ozero__class_Ozero(_u6256))) )).
% 12.21/12.38 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6258), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6258)) )).
% 12.21/12.38 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6256) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6258), c_Groups_Ozero__class_Ozero(_u6256))) )).
% 12.21/12.38 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6256) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), c_Groups_Ozero__class_Ozero(_u6256))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6258)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), c_Groups_Ozero__class_Ozero(_u6259)), _u6260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), c_Groups_Ozero__class_Ozero(_u6259)), _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), c_Groups_Ozero__class_Ozero(_u6259)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6259), _u6260), _u6261))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), c_Groups_Ozero__class_Ozero(_u6262)), _u6263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), _u6264), c_Groups_Ozero__class_Ozero(_u6262))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6263), _u6264)), c_Groups_Ozero__class_Ozero(_u6262))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6265), c_Groups_Ozero__class_Ozero(_u6265)), _u6266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6265), _u6267), c_Groups_Ozero__class_Ozero(_u6265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6265), _u6267), _u6266)), c_Groups_Ozero__class_Ozero(_u6265))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6268), _u6269), c_Groups_Ozero__class_Ozero(_u6268))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6268), c_Groups_Ozero__class_Ozero(_u6268)), _u6270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6268), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6268), _u6269), _u6270)), c_Groups_Ozero__class_Ozero(_u6268))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u6271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6271), _u6272), c_Groups_Ozero__class_Ozero(_u6271))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6271), _u6273), c_Groups_Ozero__class_Ozero(_u6271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6271), c_Groups_Ozero__class_Ozero(_u6271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6271), _u6272), _u6273))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), _u6275), _u6276)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), c_Groups_Ozero__class_Ozero(_u6274)), _u6277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6274), _u6275), _u6277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6274), _u6276), _u6277))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), _u6279), _u6280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), c_Groups_Ozero__class_Ozero(_u6278)), _u6281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6281), _u6279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6281), _u6280))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u6282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), _u6283), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6284))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u6286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), _u6287), _u6288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), _u6289), c_Groups_Ozero__class_Ozero(_u6286))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6288), _u6289)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6287), _u6289))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u6290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6291), _u6292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6293), c_Groups_Ozero__class_Ozero(_u6290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6293), _u6292)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6293), _u6291))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6295), _u6296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6297), _u6298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6297)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6296), _u6298))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), _u6300), _u6301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), _u6302), _u6303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), c_Groups_Ozero__class_Ozero(_u6299)), _u6301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), c_Groups_Ozero__class_Ozero(_u6299)), _u6302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6299), _u6300), _u6302)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6299), _u6301), _u6303))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u6304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6304), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), _u6305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), _u6306)) )).
% 12.21/12.38 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u6304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6304), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), _u6305), c_Groups_Ozero__class_Ozero(_u6304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), _u6306), c_Groups_Ozero__class_Ozero(_u6304))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6307), _u6308), _u6309)), c_Groups_Ozero__class_Ozero(_u6307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), c_Groups_Ozero__class_Ozero(_u6307)), _u6308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), _u6309), c_Groups_Ozero__class_Ozero(_u6307))) )).
% 12.21/12.38 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6307), _u6308), _u6309)), c_Groups_Ozero__class_Ozero(_u6307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), _u6308), c_Groups_Ozero__class_Ozero(_u6307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), c_Groups_Ozero__class_Ozero(_u6307)), _u6309)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6310), c_Groups_Ozero__class_Ozero(_u6310)), _u6311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6310), _u6312), _u6313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6310), _u6312), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6310), _u6311), _u6313))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) )).
% 12.21/12.38 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.21/12.38 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6318), _u6319), _u6320))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6322), c_Groups_Ozero__class_Ozero(_u6321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6323), c_Groups_Ozero__class_Ozero(_u6321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6321), _u6322), _u6323)), c_Groups_Ozero__class_Ozero(_u6321))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6325), _u6326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6327), c_Groups_Ozero__class_Ozero(_u6324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6324), _u6327), _u6326)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6324), _u6327), _u6325))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), _u6329), _u6330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), _u6331), c_Groups_Ozero__class_Ozero(_u6328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6328), _u6330), _u6331)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6328), _u6329), _u6331))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u6332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6332), _u6333), _u6334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6332), c_Groups_Ozero__class_Ozero(_u6332)), _u6335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6332), _u6335), _u6333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6332), _u6335), _u6334))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6336), _u6337), _u6338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6336), c_Groups_Ozero__class_Ozero(_u6336)), _u6339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6336), _u6339), _u6337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6336), _u6339), _u6338))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6340), _u6341), _u6342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6340), c_Groups_Ozero__class_Ozero(_u6340)), _u6343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6340), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6340), _u6341), _u6343)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6340), _u6342), _u6343))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), _u6345), c_Groups_Ozero__class_Ozero(_u6344))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), _u6346), c_Groups_Ozero__class_Ozero(_u6344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), c_Groups_Ozero__class_Ozero(_u6344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6344), _u6345), _u6346))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6347), _u6348), c_Groups_Ozero__class_Ozero(_u6347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6347), c_Groups_Ozero__class_Ozero(_u6347)), _u6349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6347), _u6348), _u6349)), c_Groups_Ozero__class_Ozero(_u6347))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6351), c_Groups_Ozero__class_Ozero(_u6350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6352)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6353), _u6352)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6351), c_Groups_Ozero__class_Ozero(_u6350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6353), _u6352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6352)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6353))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6354), _u6355), _u6356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6355)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), c_Groups_Ozero__class_Ozero(_u6357)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), c_Groups_Ozero__class_Ozero(_u6357)), _u6358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), c_Groups_Ozero__class_Ozero(_u6357)), _u6359)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6360), c_Groups_Ozero__class_Ozero(_u6360)), _u6361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6360), _u6362), c_Groups_Ozero__class_Ozero(_u6360))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6360), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6360), _u6362), _u6361)), c_Groups_Ozero__class_Ozero(_u6360))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6363), c_Groups_Ozero__class_Ozero(_u6363)), _u6364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6363), _u6365), c_Groups_Ozero__class_Ozero(_u6363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6363), _u6364), _u6365)), c_Groups_Ozero__class_Ozero(_u6363))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6366), c_Groups_Ozero__class_Ozero(_u6366)), _u6367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6366), c_Groups_Ozero__class_Ozero(_u6366)), _u6368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6366), c_Groups_Ozero__class_Ozero(_u6366)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6366), _u6367), _u6368))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), c_Groups_Ozero__class_Ozero(_u6369)), _u6370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), _u6371), _u6372)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), c_Groups_Ozero__class_Ozero(_u6369)), _u6370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), _u6371), _u6372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6372))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), c_Groups_Ozero__class_Ozero(_u6373)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6374), c_Groups_Ozero__class_Ozero(_u6373))) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), c_Groups_Ozero__class_Ozero(_u6373)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6376), _u6375)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6375), _u6376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6374), c_Groups_Ozero__class_Ozero(_u6373))) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6375), _u6376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6376), _u6375)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), c_Groups_Ozero__class_Ozero(_u6373)), _u6374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6375), _u6376)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6374), c_Groups_Ozero__class_Ozero(_u6373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6376), _u6375)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), c_Groups_Ozero__class_Ozero(_u6377)), _u6379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6379), c_Groups_Ozero__class_Ozero(_u6377))) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), c_Groups_Ozero__class_Ozero(_u6377)), _u6379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6380), _u6378)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6378), _u6380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6379), c_Groups_Ozero__class_Ozero(_u6377))) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6378), _u6380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6380), _u6378)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), c_Groups_Ozero__class_Ozero(_u6377)), _u6379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6378), _u6380)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6379), c_Groups_Ozero__class_Ozero(_u6377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6380), _u6378)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6381), _u6382), _u6382)), c_Groups_Ozero__class_Ozero(_u6381))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), _u6384), _u6385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6383), _u6384), _u6385)), c_Groups_Ozero__class_Ozero(_u6383))) )).
% 12.21/12.38 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6383), _u6384), _u6385)), c_Groups_Ozero__class_Ozero(_u6383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), _u6384), _u6385)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), _u6387), _u6388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6386), _u6387), _u6388)), c_Groups_Ozero__class_Ozero(_u6386))) )).
% 12.21/12.38 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6386), _u6387), _u6388)), c_Groups_Ozero__class_Ozero(_u6386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), _u6387), _u6388)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6389) | ( _u6390 = c_Groups_Ozero__class_Ozero(_u6389)) | ( _u6391 != _u6392) | ( _u6393 = _u6394) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6389), _u6391), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6389), _u6390), _u6393)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6389), _u6392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6389), _u6390), _u6394))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6395) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6395), c_Groups_Ozero__class_Ozero(_u6395)), c_Groups_Oone__class_Oone(_u6395))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6396), c_Groups_Oone__class_Oone(_u6396)), c_Groups_Ozero__class_Ozero(_u6396))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6397) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6397), c_Groups_Ozero__class_Ozero(_u6397)), c_Groups_Oone__class_Oone(_u6397))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6398), c_Groups_Oone__class_Oone(_u6398)), c_Groups_Ozero__class_Ozero(_u6398))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), hAPP(c_Groups_Ouminus__class_Ouminus(_u6399), _u6400)), _u6400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), c_Groups_Ozero__class_Ozero(_u6399)), _u6400)) )).
% 12.21/12.38 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), c_Groups_Ozero__class_Ozero(_u6399)), _u6400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), hAPP(c_Groups_Ouminus__class_Ouminus(_u6399), _u6400)), _u6400)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), hAPP(c_Groups_Ouminus__class_Ouminus(_u6401), _u6402)), c_Groups_Ozero__class_Ozero(_u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), c_Groups_Ozero__class_Ozero(_u6401)), _u6402)) )).
% 12.21/12.38 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), c_Groups_Ozero__class_Ozero(_u6401)), _u6402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), hAPP(c_Groups_Ouminus__class_Ouminus(_u6401), _u6402)), c_Groups_Ozero__class_Ozero(_u6401))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) )).
% 12.21/12.38 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), c_Groups_Ozero__class_Ozero(_u6405)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) )).
% 12.21/12.38 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), c_Groups_Ozero__class_Ozero(_u6405)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) )).
% 12.21/12.38 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), _u6408)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), c_Groups_Ozero__class_Ozero(_u6409))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) )).
% 12.21/12.38 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), c_Groups_Ozero__class_Ozero(_u6409))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), c_Groups_Ozero__class_Ozero(_u6411)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) )).
% 12.21/12.38 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), c_Groups_Ozero__class_Ozero(_u6411)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) )).
% 12.21/12.38 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6415) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6415), _u6416)) | ( _u6416 = c_Orderings_Obot__class_Obot(tc_fun(_u6415, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6415), c_Big__Operators_Olinorder__class_OMin(_u6415, _u6416)) = c_Big__Operators_Olinorder__class_OMax(_u6415, hAPP(c_Set_Oimage(_u6415, _u6415, c_Groups_Ouminus__class_Ouminus(_u6415)), _u6416))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6417) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6417), _u6418)) | ( _u6418 = c_Orderings_Obot__class_Obot(tc_fun(_u6417, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6417), c_Big__Operators_Olinorder__class_OMax(_u6417, _u6418)) = c_Big__Operators_Olinorder__class_OMin(_u6417, hAPP(c_Set_Oimage(_u6417, _u6417, c_Groups_Ouminus__class_Ouminus(_u6417)), _u6418))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u6419) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), _u6420), hAPP(c_Groups_Ouminus__class_Ouminus(_u6419), _u6420)) = c_Groups_Ozero__class_Ozero(_u6419)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u6421) | ( _u6422 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6421), _u6423)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6421), _u6422), _u6423) = c_Groups_Ozero__class_Ozero(_u6421)) )).
% 12.21/12.38 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u6421) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6421), _u6422), _u6423) != c_Groups_Ozero__class_Ozero(_u6421)) | ( _u6422 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6421), _u6423)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u6424) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6424), hAPP(c_Groups_Ouminus__class_Ouminus(_u6424), _u6425)), _u6425) = c_Groups_Ozero__class_Ozero(_u6424)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u6426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6426), hAPP(c_Groups_Ouminus__class_Ouminus(_u6426), _u6427)), _u6427) = c_Groups_Ozero__class_Ozero(_u6426)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u6428) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6428), _u6429), _u6430) != c_Groups_Ozero__class_Ozero(_u6428)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6428), _u6429) = _u6430) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u6431) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6431), c_Groups_Ozero__class_Ozero(_u6431)), _u6432) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6431), _u6432)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6437), hAPP(c_Nat_OSuc, _u6439))) | ( _u6437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6437 = hAPP(c_Nat_OSuc, skolem112(_u6439, _u6437))) )).
% 12.21/12.38 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6437), hAPP(c_Nat_OSuc, _u6439))) | ( _u6437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem112(_u6439, _u6437)), _u6439)) )).
% 12.21/12.38 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6438), hAPP(c_Nat_OSuc, _u6440))) | ( _u6438 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6438), hAPP(c_Nat_OSuc, _u6440))) | ( _u6438 != hAPP(c_Nat_OSuc, _u6434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6434), _u6440)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6442), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u6442 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_less__Suc0-2, axiom, ( ( _u6443 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6443), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_gr0__conv__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6447)) | ( _u6447 = hAPP(c_Nat_OSuc, skolem113(_u6447))) )).
% 12.21/12.38 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u6448 != hAPP(c_Nat_OSuc, _u6445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6448)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_one__is__add-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6451 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_one__is__add-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6451 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6453 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_one__is__add-3, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6453 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_one__is__add-4, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6453 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6453 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_one__is__add-5, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6452), _u6454)) | ( _u6452 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6454 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_one__is__add-6, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6452), _u6454)) | ( _u6452 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6454 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6457 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6457 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6457 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6459 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6459 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6457 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6459 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6459 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6458), _u6460) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6458 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6460 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6458), _u6460) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6458 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6460 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__gr__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6463), _u6465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6465)) )).
% 12.21/12.38 cnf(fact_add__gr__0-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6464), _u6466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6464)) )).
% 12.21/12.38 cnf(fact_add__gr__0-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6464), _u6466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6466)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6467), c_Orderings_Obot__class_Obot(tc_fun(_u6467, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6468), _u6469)) | ( hAPP(c_Finite__Set_Ocard(_u6468), _u6469) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6472), _u6474) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6472 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6472), _u6474) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6474 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u6473 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6475 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6473), _u6475) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6478), _u6480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6480), _u6478)) )).
% 12.21/12.38 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6481), _u6479)) | 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), _u6479), _u6481))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6483), _u6482)), _u6483)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6484), _u6485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), _u6484)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), _u6485))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6487), _u6488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6487), _u6489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), _u6489))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6493), _u6495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6497), _u6495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6495)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6493), _u6495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6497), _u6495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6493), _u6497)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6494), _u6498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6494), _u6496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6498), _u6496))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6504)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6502)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6504)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6504), _u6506)) )).
% 12.21/12.38 cnf(fact_mult__less__cancel1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6505), _u6507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6503), _u6505)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6503), _u6507))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__0__less__mult__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6510), _u6512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6510)) )).
% 12.21/12.38 cnf(fact_nat__0__less__mult__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6510), _u6512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6512)) )).
% 12.21/12.38 cnf(fact_nat__0__less__mult__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6513)) | 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), _u6511), _u6513))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6515), _u6516)) )).
% 12.21/12.38 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6515), _u6516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6516))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6517)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6518) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6519)) | ( _u6518 = _u6519) )).
% 12.21/12.38 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6517)) | ( _u6518 != _u6519) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6518) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6519)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6520), _u6521)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6524), _u6526) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), _u6526)) )).
% 12.21/12.38 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6525), _u6527)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6525), _u6527) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6528), _u6529)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6528), _u6529) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u6530) | ( c_Big__Operators_Olinorder__class_OMax(_u6530, hAPP(hAPP(c_Set_Oinsert(_u6530), _u6531), c_Orderings_Obot__class_Obot(tc_fun(_u6530, tc_HOL_Obool)))) = _u6531) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u6532) | ( c_Big__Operators_Olinorder__class_OMin(_u6532, hAPP(hAPP(c_Set_Oinsert(_u6532), _u6533), c_Orderings_Obot__class_Obot(tc_fun(_u6532, tc_HOL_Obool)))) = _u6533) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u6534 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6534), _u6535)) | ( _u6535 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6534 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__pred_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6536)) | ( _u6536 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6536), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__eq__if-1, axiom, ( ( _u6539 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6539), _u6541) = _u6541) )).
% 12.21/12.38 cnf(fact_add__eq__if-2, axiom, ( ( _u6540 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6540), _u6542) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6540), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6542))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6543), c_Groups_Ozero__class_Ozero(_u6543)), _u6544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6543), c_Groups_Ozero__class_Ozero(_u6543)), _u6545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6543), c_Groups_Ozero__class_Ozero(_u6543)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), _u6544), _u6545))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6546), c_Groups_Ozero__class_Ozero(_u6546)), _u6547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6546), c_Groups_Ozero__class_Ozero(_u6546)), _u6548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6546), c_Groups_Ozero__class_Ozero(_u6546)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6546), _u6547), _u6548))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6549), c_Groups_Ozero__class_Ozero(_u6549)), _u6550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6551), _u6552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6549), _u6551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6549), _u6550), _u6552))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6553), c_Groups_Ozero__class_Ozero(_u6553)), _u6554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6553), _u6555), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6553), _u6555), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6553), _u6554), _u6556))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), _u6558), c_Groups_Ozero__class_Ozero(_u6557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6557), _u6559), c_Groups_Ozero__class_Ozero(_u6557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6557), _u6558), _u6559)), c_Groups_Ozero__class_Ozero(_u6557))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), _u6561), c_Groups_Ozero__class_Ozero(_u6560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6560), _u6562), c_Groups_Ozero__class_Ozero(_u6560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6560), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6560), _u6561), _u6562)), c_Groups_Ozero__class_Ozero(_u6560))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6563), c_Groups_Ozero__class_Ozero(_u6563)), _u6564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6565)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), _u6565), _u6566)) )).
% 12.21/12.38 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6563), c_Groups_Ozero__class_Ozero(_u6563)), _u6564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), _u6565), _u6566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6565)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6566))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6567), _u6568), c_Groups_Ozero__class_Ozero(_u6567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), _u6570), _u6569)) )).
% 12.21/12.38 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6567), _u6568), c_Groups_Ozero__class_Ozero(_u6567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), _u6570), _u6569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6570))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), _u6572), _u6573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), _u6574), _u6575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), c_Groups_Ozero__class_Ozero(_u6571)), _u6573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6571), c_Groups_Ozero__class_Ozero(_u6571)), _u6574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6571), _u6572), _u6574)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6571), _u6573), _u6575))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6576), _u6577), _u6578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6576), _u6579), _u6580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6576), c_Groups_Ozero__class_Ozero(_u6576)), _u6577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6576), c_Groups_Ozero__class_Ozero(_u6576)), _u6579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6576), _u6577), _u6579)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6576), _u6578), _u6580))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6581), _u6582), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6581), _u6584), _u6585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6581), c_Groups_Ozero__class_Ozero(_u6581)), _u6582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6581), c_Groups_Ozero__class_Ozero(_u6581)), _u6584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6581), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), _u6582), _u6584)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), _u6583), _u6585))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6586), _u6587), _u6588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6586), _u6589), _u6590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6586), c_Groups_Ozero__class_Ozero(_u6586)), _u6587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6586), c_Groups_Ozero__class_Ozero(_u6586)), _u6589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6586), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6586), _u6587), _u6589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6586), _u6588), _u6590))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u6591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6591), _u6592), _u6593)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6591), _u6594), _u6593))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6591), c_Groups_Ozero__class_Ozero(_u6591)), _u6593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6591), _u6592), _u6594)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6595), _u6596), _u6597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6595), _u6598), _u6597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6595), c_Groups_Ozero__class_Ozero(_u6595)), _u6597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6595), _u6596), _u6598)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u6599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6601)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6599), c_Groups_Ozero__class_Ozero(_u6599)), _u6600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), _u6601), _u6602)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6603), _u6604), _u6605)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6603), _u6604), _u6606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6603), c_Groups_Ozero__class_Ozero(_u6603)), _u6604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), _u6605), _u6606)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6607), _u6608), _u6609)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6607), _u6610), _u6609))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), _u6609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6607), _u6608), _u6610)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6611), _u6612), _u6613)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6611), _u6612), _u6614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6611), c_Groups_Ozero__class_Ozero(_u6611)), _u6612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6611), _u6613), _u6614)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__eq__if-1, axiom, ( ( _u6617 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6617), _u6619) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_mult__eq__if-2, axiom, ( ( _u6618 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6618), _u6620) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6618), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6620))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), _u6623), c_Groups_Oone__class_Oone(_u6621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6623), _u6622)), _u6622)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), c_Groups_Ozero__class_Ozero(_u6624)), _u6625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), c_Groups_Ozero__class_Ozero(_u6624)), _u6626)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), _u6626), c_Groups_Oone__class_Oone(_u6624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6624), _u6625), _u6626)), _u6625)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6627), c_Groups_Ozero__class_Ozero(_u6627)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6627), c_Groups_Oone__class_Oone(_u6627)), c_Groups_Oone__class_Oone(_u6627)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6630), _u6632) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6632 = c_Orderings_Obot__class_Obot(tc_fun(_u6630, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6630), _u6632)) )).
% 12.21/12.38 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6631), _u6633) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6633 != c_Orderings_Obot__class_Obot(tc_fun(_u6631, tc_HOL_Obool))) )).
% 12.21/12.38 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6631), _u6633) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6631), _u6633)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__ge__0__finite-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6634), _u6635))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6634), _u6635)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__pred-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6636)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6636), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u6636) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__Suc__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6637), hAPP(c_Nat_OSuc, _u6638))), _u6637)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_n__less__m__mult__n-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6640), _u6639))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_n__less__n__mult__m-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6641), _u6642))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_one__less__mult-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6644)) | 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), _u6644), _u6643))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u6650, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6652), _u6654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6652), _u6654)) | hBOOL(hAPP(_u6650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u6650, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6652), _u6654))) | ( _u6652 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6654), _u6645)) | hBOOL(hAPP(_u6650, _u6645)) )).
% 12.21/12.38 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6653), _u6655)) | ( _u6653 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6655), skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.38 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6653), _u6655)) | ~hBOOL(hAPP(_u6651, skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.38 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | ~hBOOL(hAPP(_u6651, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6653 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6655), skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.38 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | ~hBOOL(hAPP(_u6651, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6651, skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u6661, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6663), _u6665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6663), _u6665)) | hBOOL(hAPP(_u6661, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u6661, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6663), _u6665))) | ( _u6663 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6665), _u6656)) | hBOOL(hAPP(_u6661, _u6656)) )).
% 12.21/12.38 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6664), _u6666)) | ( _u6664 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6666), skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.38 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6664), _u6666)) | ~hBOOL(hAPP(_u6662, skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.38 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | ~hBOOL(hAPP(_u6662, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6664 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6666), skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.38 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | ~hBOOL(hAPP(_u6662, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6662, skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_one__le__mult__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6669), _u6671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6669)) )).
% 12.21/12.38 cnf(fact_one__le__mult__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6669), _u6671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6671)) )).
% 12.21/12.38 cnf(fact_one__le__mult__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6672)) | 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), _u6670), _u6672))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__le__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6676), _u6678)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6676), _u6680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6678), _u6680)) )).
% 12.21/12.38 cnf(fact_mult__le__cancel1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6677)) )).
% 12.21/12.38 cnf(fact_mult__le__cancel1-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6681))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6679), _u6681)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__le__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6685), _u6687)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6689), _u6687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6685), _u6689)) )).
% 12.21/12.38 cnf(fact_mult__le__cancel2-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6686), _u6688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6690), _u6688))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6688)) )).
% 12.21/12.38 cnf(fact_mult__le__cancel2-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6686), _u6688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6690), _u6688))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6686), _u6690)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6692)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6692), _u6693)) )).
% 12.21/12.38 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6692), _u6693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6692)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6693))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u6694) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6694), _u6695)) | ~hBOOL(hAPP(hAPP(c_member(_u6694), _u6696), _u6695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6694), c_Big__Operators_Olinorder__class_OMin(_u6694, _u6695)), _u6696)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u6697) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6697), _u6698)) | ~hBOOL(hAPP(hAPP(c_member(_u6697), _u6699), _u6698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6697), _u6699), c_Big__Operators_Olinorder__class_OMax(_u6697, _u6698))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u6700) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6700), _u6701)) | ( _u6701 = c_Orderings_Obot__class_Obot(tc_fun(_u6700, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6700), c_Big__Operators_Olinorder__class_OMax(_u6700, _u6701)), _u6701)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u6702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6702), _u6703)) | ( _u6703 = c_Orderings_Obot__class_Obot(tc_fun(_u6702, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6702), c_Big__Operators_Olinorder__class_OMin(_u6702, _u6703)), _u6703)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6704)) | ( 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)), _u6704))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6705)))) = 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)), _u6704))), 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, _u6705)))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6706)) | ( 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)), _u6706))), 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, _u6707))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6708)) | ( 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)), _u6708))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6709))))) = 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)), _u6708))), 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, _u6709)))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u6710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), _u6711), _u6712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), _u6713), _u6712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), c_Groups_Ozero__class_Ozero(_u6710)), _u6714)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), c_Groups_Ozero__class_Ozero(_u6710)), _u6715)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), _u6714), _u6715) != c_Groups_Oone__class_Oone(_u6710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6710), _u6714), _u6711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6710), _u6715), _u6713))), _u6712)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__gt__0__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6718), _u6720))) | ( _u6720 != c_Orderings_Obot__class_Obot(tc_fun(_u6718, tc_HOL_Obool))) )).
% 12.21/12.38 cnf(fact_card__gt__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6718), _u6720))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6718), _u6720)) )).
% 12.21/12.38 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u6721 = c_Orderings_Obot__class_Obot(tc_fun(_u6719, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6719), _u6721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6719), _u6721))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6722), c_Orderings_Otop__class_Otop(tc_fun(_u6722, 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(_u6722), c_Orderings_Otop__class_Otop(tc_fun(_u6722, tc_HOL_Obool))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Suc__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6723)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6723), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u6723) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6724) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6724, tc_HOL_Obool)), _u6725), _u6726)) | ( _u6725 = c_Orderings_Obot__class_Obot(tc_fun(_u6724, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6724), _u6726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), c_Big__Operators_Olinorder__class_OMax(_u6724, _u6725)), c_Big__Operators_Olinorder__class_OMax(_u6724, _u6726))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u6727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6727, tc_HOL_Obool)), _u6728), _u6729)) | ( _u6728 = c_Orderings_Obot__class_Obot(tc_fun(_u6727, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6727), _u6729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6727), c_Big__Operators_Olinorder__class_OMin(_u6727, _u6729)), c_Big__Operators_Olinorder__class_OMin(_u6727, _u6728))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6732), _u6734)) | ( hAPP(c_Finite__Set_Ocard(_u6732), _u6734) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6732, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6732), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6734)) )).
% 12.21/12.38 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6733), _u6735)) | ( hAPP(c_Finite__Set_Ocard(_u6733), _u6735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6736), _u6737)) | ( hAPP(c_Finite__Set_Ocard(_u6736), _u6737) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6736, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6736), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6737)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u6738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6738), _u6739), _u6740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6738), _u6741), _u6740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), c_Groups_Ozero__class_Ozero(_u6738)), _u6742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), c_Groups_Ozero__class_Ozero(_u6738)), _u6743)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6738), _u6742), _u6743) != c_Groups_Oone__class_Oone(_u6738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6738), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6738), _u6742), _u6739)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6738), _u6743), _u6741))), _u6740)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6744), _u6745), _u6745)), c_Groups_Ozero__class_Ozero(_u6744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), _u6745), c_Groups_Ozero__class_Ozero(_u6744))) )).
% 12.21/12.38 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), _u6745), c_Groups_Ozero__class_Ozero(_u6744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6744), _u6745), _u6745)), c_Groups_Ozero__class_Ozero(_u6744))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6749)) | ( hAPP(c_Finite__Set_Ocard(_u6747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6747, tc_HOL_Obool)), _u6748), _u6749)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6747), _u6748)), hAPP(c_Finite__Set_Ocard(_u6747), _u6749))) | hBOOL(hAPP(hAPP(c_member(_u6747), skolem116(_u6749, _u6748, _u6747)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6747, tc_HOL_Obool)), _u6748), _u6749))) )).
% 12.21/12.38 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6749)) | ( hAPP(c_Finite__Set_Ocard(_u6747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6747, tc_HOL_Obool)), _u6748), _u6749)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6747), _u6748)), hAPP(c_Finite__Set_Ocard(_u6747), _u6749))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ( _u6759 = hAPP(hAPP(c_Set_Oinsert(_u6757), skolem117(_u6761, _u6759, _u6757)), skolem118(_u6761, _u6759, _u6757))) )).
% 12.21/12.38 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ~hBOOL(hAPP(hAPP(c_member(_u6757), skolem117(_u6761, _u6759, _u6757)), skolem118(_u6761, _u6759, _u6757))) )).
% 12.21/12.38 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ( hAPP(c_Finite__Set_Ocard(_u6757), skolem118(_u6761, _u6759, _u6757)) = _u6761) )).
% 12.21/12.38 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ( _u6761 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem118(_u6761, _u6759, _u6757) = c_Orderings_Obot__class_Obot(tc_fun(_u6757, tc_HOL_Obool))) )).
% 12.21/12.38 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6758), _u6760) = hAPP(c_Nat_OSuc, _u6762)) | ( _u6760 != hAPP(hAPP(c_Set_Oinsert(_u6758), _u6753), _u6752)) | hBOOL(hAPP(hAPP(c_member(_u6758), _u6753), _u6752)) | ( hAPP(c_Finite__Set_Ocard(_u6758), _u6752) != _u6762) | ( _u6762 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6758), _u6760) = hAPP(c_Nat_OSuc, _u6762)) | ( _u6760 != hAPP(hAPP(c_Set_Oinsert(_u6758), _u6753), _u6752)) | hBOOL(hAPP(hAPP(c_member(_u6758), _u6753), _u6752)) | ( hAPP(c_Finite__Set_Ocard(_u6758), _u6752) != _u6762) | ( _u6752 != c_Orderings_Obot__class_Obot(tc_fun(_u6758, tc_HOL_Obool))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_option_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_option_Osize_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u6763, _u6764, hAPP(c_Option_Ooption_OSome(_u6763), _u6765)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6764, _u6765)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6766), _u6767)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u6766, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6766), _u6767)) = 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(_u6766), _u6767))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6768) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6768), _u6769), _u6769) != c_Groups_Ozero__class_Ozero(_u6768)) | ( _u6769 = c_Groups_Ozero__class_Ozero(_u6768)) )).
% 12.21/12.38 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6768) | ( _u6769 != c_Groups_Ozero__class_Ozero(_u6768)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6768), _u6769), _u6769) = c_Groups_Ozero__class_Ozero(_u6768)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6774), _u6776)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6778), _u6780)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6774, _u6778)), c_Sum__Type_OPlus(_u6774, _u6778, _u6776, _u6780)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6774), _u6776)), hAPP(c_Finite__Set_Ocard(_u6778), _u6780))) )).
% 12.21/12.38 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6775, _u6779)), c_Sum__Type_OPlus(_u6775, _u6779, _u6777, _u6781)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6775), _u6777)) )).
% 12.21/12.38 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6775, _u6779)), c_Sum__Type_OPlus(_u6775, _u6779, _u6777, _u6781)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6779), _u6781)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6782) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6782), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6782), _u6783), _u6784)), _u6785) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6782), hAPP(hAPP(c_Power_Opower__class_Opower(_u6782), _u6783), _u6785)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6782), _u6784), _u6785))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6786) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6786), hAPP(hAPP(c_Power_Opower__class_Opower(_u6786), _u6787), _u6788)), _u6789) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6786), _u6787), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6788), _u6789))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6790) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6790), _u6791), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6791) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6792) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6792), _u6793), hAPP(c_Nat_OSuc, _u6794)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6792), _u6793), hAPP(hAPP(c_Power_Opower__class_Opower(_u6792), _u6793), _u6794))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6795) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6795), _u6796), hAPP(hAPP(c_Power_Opower__class_Opower(_u6795), _u6796), _u6797)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6795), _u6796), hAPP(c_Nat_OSuc, _u6797))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6798) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6798), hAPP(hAPP(c_Power_Opower__class_Opower(_u6798), _u6799), _u6800)), _u6799) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6798), _u6799), hAPP(c_Nat_OSuc, _u6800))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6801) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6801), _u6802), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6801)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6803) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6803), hAPP(hAPP(c_Power_Opower__class_Opower(_u6803), _u6804), _u6805)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6803), _u6804), _u6806)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6803), _u6804), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6805), _u6806))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_option_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_option_Osize_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u6807, _u6808, c_Option_Ooption_ONone(_u6807)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__eq__if-1, axiom, ( ( _u6811 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6813), _u6811) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_power__eq__if-2, axiom, ( ( _u6812 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6814), _u6812) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6814), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6812), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6816), _u6818)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6815, _u6816)), c_Sum__Type_OPlus(_u6815, _u6816, _u6817, _u6818))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6819, _u6820)), c_Sum__Type_OPlus(_u6819, _u6820, _u6821, _u6822))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6819), _u6821)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6823), _u6824)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6825), _u6826)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6823, _u6825)), c_Sum__Type_OPlus(_u6823, _u6825, _u6824, _u6826))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6831, _u6833)), c_Sum__Type_OPlus(_u6831, _u6833, _u6835, _u6837))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6831), _u6835)) )).
% 12.21/12.38 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6831, _u6833)), c_Sum__Type_OPlus(_u6831, _u6833, _u6835, _u6837))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6833), _u6837)) )).
% 12.21/12.38 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6832), _u6836)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6834), _u6838)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6832, _u6834)), c_Sum__Type_OPlus(_u6832, _u6834, _u6836, _u6838))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6839), _u6840)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6841), _u6842)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6839, _u6841)), c_Sum__Type_OPlus(_u6839, _u6841, _u6840, _u6842)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6839), _u6840)), hAPP(c_Finite__Set_Ocard(_u6841), _u6842))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6843) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6843), _u6844), _u6845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6843), c_Groups_Ozero__class_Ozero(_u6843)), _u6844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6843), hAPP(hAPP(c_Power_Opower__class_Opower(_u6843), _u6844), _u6846)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6843), _u6845), _u6846))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6847), c_Groups_Oone__class_Oone(_u6847)), _u6848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6847), c_Groups_Oone__class_Oone(_u6847)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), _u6848), _u6849))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6850), c_Groups_Oone__class_Oone(_u6850)), _u6851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6850), hAPP(hAPP(c_Power_Opower__class_Opower(_u6850), _u6851), _u6852)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6850), _u6851), _u6853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6852), _u6853)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6854), c_Groups_Oone__class_Oone(_u6854)), _u6855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6854), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6856)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6856), _u6857)) )).
% 12.21/12.38 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6854), c_Groups_Oone__class_Oone(_u6854)), _u6855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6856), _u6857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6854), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6856)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6857))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6859), _u6860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6858), c_Groups_Ozero__class_Ozero(_u6858)), _u6861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6858), _u6861), c_Groups_Oone__class_Oone(_u6858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6858), hAPP(hAPP(c_Power_Opower__class_Opower(_u6858), _u6861), _u6860)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6858), _u6861), _u6859))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6863), _u6864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), c_Groups_Ozero__class_Ozero(_u6862)), _u6865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), _u6865), c_Groups_Oone__class_Oone(_u6862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), hAPP(hAPP(c_Power_Opower__class_Opower(_u6862), _u6865), _u6864)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6862), _u6865), _u6863))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6866), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6867), _u6868)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6866), _u6867)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6866), _u6868))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zpower__zpower-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6869), _u6870)), _u6871) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6869), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6870), _u6871))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6872) | ( _u6873 = c_Groups_Ozero__class_Ozero(_u6872)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6872), _u6873), _u6874) != c_Groups_Ozero__class_Ozero(_u6872)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6875) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6875), _u6876), _u6877)), _u6878) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6875), hAPP(hAPP(c_Power_Opower__class_Opower(_u6875), _u6876), _u6878)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6875), _u6877), _u6878))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u6879) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6879), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881)), _u6880) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6879), _u6880), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u6882) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6882), c_Groups_Oone__class_Oone(_u6882)), _u6883) = c_Groups_Oone__class_Oone(_u6882)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u6884) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6886), _u6887)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6885), _u6886)), _u6887)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u6888) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6888), _u6889), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6889) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), _u6891), _u6892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), c_Groups_Ozero__class_Ozero(_u6890)), _u6891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), _u6893)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6892), _u6893))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6894), c_Groups_Ozero__class_Ozero(_u6894)), _u6895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6894), c_Groups_Ozero__class_Ozero(_u6894)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6894), _u6895), _u6896))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6897), c_Groups_Ozero__class_Ozero(_u6897)), _u6898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6897), c_Groups_Ozero__class_Ozero(_u6897)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6897), _u6898), _u6899))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u6900) | ~class_Rings_Omult__zero(_u6900) | ~class_Rings_Ono__zero__divisors(_u6900) | ~class_Rings_Ozero__neq__one(_u6900) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6900), _u6901), _u6902) != c_Groups_Ozero__class_Ozero(_u6900)) | ( _u6901 = c_Groups_Ozero__class_Ozero(_u6900)) )).
% 12.21/12.38 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u6900) | ~class_Rings_Omult__zero(_u6900) | ~class_Rings_Ono__zero__divisors(_u6900) | ~class_Rings_Ozero__neq__one(_u6900) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6900), _u6901), _u6902) != c_Groups_Ozero__class_Ozero(_u6900)) | ( _u6902 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u6900) | ~class_Rings_Omult__zero(_u6900) | ~class_Rings_Ono__zero__divisors(_u6900) | ~class_Rings_Ozero__neq__one(_u6900) | ( _u6901 != c_Groups_Ozero__class_Ozero(_u6900)) | ( _u6902 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6900), _u6901), _u6902) = c_Groups_Ozero__class_Ozero(_u6900)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6903), c_Groups_Oone__class_Oone(_u6903)), _u6904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6903), c_Groups_Oone__class_Oone(_u6903)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6903), _u6904), _u6905))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u6906) | ~class_Rings_Osemiring__0(_u6906) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6906), c_Groups_Ozero__class_Ozero(_u6906)), hAPP(c_Nat_OSuc, _u6907)) = c_Groups_Ozero__class_Ozero(_u6906)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), c_Groups_Oone__class_Oone(_u6908)), _u6909)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6911)) | ( _u6910 = _u6911) )).
% 12.21/12.38 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), c_Groups_Oone__class_Oone(_u6908)), _u6909)) | ( _u6910 != _u6911) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6911)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u6912) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6912), _u6913), hAPP(c_Nat_OSuc, _u6914)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6912), hAPP(hAPP(c_Power_Opower__class_Opower(_u6912), _u6913), _u6914)), _u6913)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u6915) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6915), _u6916), hAPP(c_Nat_OSuc, _u6917)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6915), _u6916), hAPP(hAPP(c_Power_Opower__class_Opower(_u6915), _u6916), _u6917))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u6918) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6918), _u6919), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6918)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u6920) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6920), _u6921), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6922), _u6923)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6920), hAPP(hAPP(c_Power_Opower__class_Opower(_u6920), _u6921), _u6922)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6920), _u6921), _u6923))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__Suc__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6924) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6927), _u6929) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6929 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6927 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6928), _u6930) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6930 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6928), _u6930) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6928 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__zero__less__power__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6933), _u6935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6933)) | ( _u6935 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_nat__zero__less__power__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6934), _u6936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6934)) )).
% 12.21/12.38 cnf(fact_nat__zero__less__power__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6934), _u6936))) | ( _u6936 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__power__less__imp__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6937), _u6938)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6937), _u6939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6938), _u6939)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6940), hAPP(hAPP(c_Power_Opower__class_Opower(_u6940), _u6941), _u6942)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6940), _u6943), _u6942))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6940), c_Groups_Ozero__class_Ozero(_u6940)), _u6943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6940), _u6941), _u6943)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6944), hAPP(hAPP(c_Power_Opower__class_Opower(_u6944), _u6945), hAPP(c_Nat_OSuc, _u6946))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6944), _u6947), hAPP(c_Nat_OSuc, _u6946)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6944), c_Groups_Ozero__class_Ozero(_u6944)), _u6947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6944), _u6945), _u6947)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6948), _u6949), hAPP(c_Nat_OSuc, _u6950)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6948), _u6951), hAPP(c_Nat_OSuc, _u6950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6948), c_Groups_Ozero__class_Ozero(_u6948)), _u6949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6948), c_Groups_Ozero__class_Ozero(_u6948)), _u6951)) | ( _u6949 = _u6951) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6952), c_Groups_Oone__class_Oone(_u6952)), _u6953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6952), c_Groups_Oone__class_Oone(_u6952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6952), _u6953), hAPP(hAPP(c_Power_Opower__class_Opower(_u6952), _u6953), _u6954)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6955), c_Groups_Oone__class_Oone(_u6955)), _u6956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6955), hAPP(hAPP(c_Power_Opower__class_Opower(_u6955), _u6956), _u6957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6955), _u6956), hAPP(hAPP(c_Power_Opower__class_Opower(_u6955), _u6956), _u6957)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u6958) | ~class_Rings_Osemiring__0(_u6958) | ( _u6959 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6958), c_Groups_Ozero__class_Ozero(_u6958)), _u6959) = c_Groups_Oone__class_Oone(_u6958)) )).
% 12.21/12.38 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u6958) | ~class_Rings_Osemiring__0(_u6958) | ( _u6959 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6958), c_Groups_Ozero__class_Ozero(_u6958)), _u6959) = c_Groups_Ozero__class_Ozero(_u6958)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6960), c_Groups_Oone__class_Oone(_u6960)), _u6961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6960), c_Groups_Oone__class_Oone(_u6960)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6960), _u6961), hAPP(c_Nat_OSuc, _u6962)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), c_Groups_Oone__class_Oone(_u6963)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6965)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6965), _u6966)) )).
% 12.21/12.38 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), c_Groups_Oone__class_Oone(_u6963)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6965), _u6966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6965)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6966))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6967), c_Groups_Oone__class_Oone(_u6967)), _u6968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6967), hAPP(hAPP(c_Power_Opower__class_Opower(_u6967), _u6968), _u6969)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6967), _u6968), _u6970))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6969), _u6970)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6972), _u6973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6971), c_Groups_Oone__class_Oone(_u6971)), _u6974)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6971), hAPP(hAPP(c_Power_Opower__class_Opower(_u6971), _u6974), _u6972)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6971), _u6974), _u6973))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6976), _u6977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6975), c_Groups_Oone__class_Oone(_u6975)), _u6978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6975), hAPP(hAPP(c_Power_Opower__class_Opower(_u6975), _u6978), _u6976)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6975), _u6978), _u6977))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u6979) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6979), hAPP(c_Groups_Ouminus__class_Ouminus(_u6979), _u6980)), _u6981) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6979), hAPP(hAPP(c_Power_Opower__class_Opower(_u6979), hAPP(c_Groups_Ouminus__class_Ouminus(_u6979), c_Groups_Oone__class_Oone(_u6979))), _u6981)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6979), _u6980), _u6981))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__one__le__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6982)) | 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), _u6982), _u6983))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6984) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6984), c_Groups_Ozero__class_Ozero(_u6984)), _u6985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6984), _u6985), c_Groups_Oone__class_Oone(_u6984))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6984), _u6985), hAPP(hAPP(c_Power_Opower__class_Opower(_u6984), _u6985), _u6986))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6984), _u6985), _u6986))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6987) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6987), _u6988), _u6989) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6987), _u6990), _u6989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6987), c_Groups_Ozero__class_Ozero(_u6987)), _u6988)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6987), c_Groups_Ozero__class_Ozero(_u6987)), _u6990)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6989)) | ( _u6988 = _u6990) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6991), c_Groups_Ozero__class_Ozero(_u6991)), _u6992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6991), _u6992), c_Groups_Oone__class_Oone(_u6991))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6991), hAPP(hAPP(c_Power_Opower__class_Opower(_u6991), _u6992), hAPP(c_Nat_OSuc, _u6993))), c_Groups_Oone__class_Oone(_u6991))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u6994, _u6995, c_Orderings_Otop__class_Otop(tc_fun(_u6994, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6995, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6994, _u6995), tc_HOL_Obool))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u6996)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u6996)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7007, _u7003)), hAPP(_u7007, _u7005))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7001, _u7001)), hAPP(hAPP(c_Product__Type_OPair(_u7001, _u7001), _u7003), _u7005)), hAPP(c_Wellfounded_Omeasure(_u7001), _u7007))) )).
% 12.21/12.38 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7008, _u7004)), hAPP(_u7008, _u7006))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7002, _u7002)), hAPP(hAPP(c_Product__Type_OPair(_u7002, _u7002), _u7004), _u7006)), hAPP(c_Wellfounded_Omeasure(_u7002), _u7008))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u7013, _u7015, _u7017, _u7019) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7013, _u7015), tc_HOL_Obool))) | ( _u7017 = c_Orderings_Obot__class_Obot(tc_fun(_u7013, tc_HOL_Obool))) )).
% 12.21/12.38 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u7013, _u7015, _u7017, _u7019) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7013, _u7015), tc_HOL_Obool))) | ( _u7019 = c_Orderings_Obot__class_Obot(tc_fun(_u7015, tc_HOL_Obool))) )).
% 12.21/12.38 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u7018 != c_Orderings_Obot__class_Obot(tc_fun(_u7014, tc_HOL_Obool))) | ( _u7020 != c_Orderings_Obot__class_Obot(tc_fun(_u7016, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u7014, _u7016, _u7018, _u7020) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7014, _u7016), tc_HOL_Obool))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u7021) | ( c_Power_Opower__class_Opower(_u7021) = c_Power_Opower_Opower(_u7021, c_Groups_Oone__class_Oone(_u7021), c_Groups_Otimes__class_Otimes(_u7021))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7022, _u7023)), hAPP(_u7022, _u7024))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7025, _u7025)), hAPP(hAPP(c_Product__Type_OPair(_u7025, _u7025), _u7023), _u7024)), _u7026)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7025, _u7025)), hAPP(hAPP(c_Product__Type_OPair(_u7025, _u7025), _u7023), _u7024)), c_Wellfounded_Omlex__prod(_u7025, _u7022, _u7026))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7027), _u7028)), _u7029) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7027), _u7029)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7028), _u7029))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7030), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7030), _u7032))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__zminus-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7033)), _u7034) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7033), _u7034))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7035), _u7036)), _u7037) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7036), _u7037))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7038), _u7039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7039), _u7038)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7040), _u7041)), _u7042) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7040), _u7042)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7041), _u7042))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7044), _u7045)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7043), _u7044)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7043), _u7045))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7046), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u7046) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7047) = _u7047) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_pos__zmult__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7048)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7048), _u7049) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u7048 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_pos__zmult__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7048)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7048), _u7049) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u7049 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_pos__zmult__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7048)) | ( _u7048 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u7049 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7048), _u7049) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7050), _u7051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7052), _u7050)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7052), _u7051))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7053, _u7054, _u7055), _u7056), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7054) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7057, _u7058, _u7059), _u7060), hAPP(c_Nat_OSuc, _u7061)) = hAPP(hAPP(_u7059, _u7060), hAPP(hAPP(c_Power_Opower_Opower(_u7057, _u7058, _u7059), _u7060), _u7061))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat_Osize_I1_J-1, axiom, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7062, _u7063)), hAPP(_u7062, _u7064))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7065, _u7065)), hAPP(hAPP(c_Product__Type_OPair(_u7065, _u7065), _u7063), _u7064)), c_Wellfounded_Omlex__prod(_u7065, _u7062, _u7066))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7067)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7067)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_option_Osize_I4_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_option_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u7068)), hAPP(c_Option_Ooption_OSome(_u7068), _u7069)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_option_Osize_I3_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_option_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u7070)), c_Option_Ooption_ONone(_u7070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u7071) | ~hBOOL(hAPP(hAPP(c_member(_u7071), _u7072), c_Int_Oring__1__class_OInts(_u7071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), c_Groups_Oone__class_Oone(_u7071)), _u7072)), _u7072)), c_Groups_Ozero__class_Ozero(_u7071))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), _u7072), c_Groups_Ozero__class_Ozero(_u7071))) )).
% 12.21/12.38 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u7071) | ~hBOOL(hAPP(hAPP(c_member(_u7071), _u7072), c_Int_Oring__1__class_OInts(_u7071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), _u7072), c_Groups_Ozero__class_Ozero(_u7071))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), c_Groups_Oone__class_Oone(_u7071)), _u7072)), _u7072)), c_Groups_Ozero__class_Ozero(_u7071))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7085), _u7087)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7089), _u7091))), c_Wellfounded_Olex__prod(_u7081, _u7083, _u7093, _u7095))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7081, _u7081)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7081), _u7085), _u7089)), _u7093)) | ( _u7085 = _u7089) )).
% 12.21/12.38 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7085), _u7087)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7089), _u7091))), c_Wellfounded_Olex__prod(_u7081, _u7083, _u7093, _u7095))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7081, _u7081)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7081), _u7085), _u7089)), _u7093)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7083, _u7083)), hAPP(hAPP(c_Product__Type_OPair(_u7083, _u7083), _u7087), _u7091)), _u7095)) )).
% 12.21/12.38 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7086), _u7088)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7090), _u7092))), c_Wellfounded_Olex__prod(_u7082, _u7084, _u7094, _u7096))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7082, _u7082)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7082), _u7086), _u7090)), _u7094)) )).
% 12.21/12.38 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7086), _u7088)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7090), _u7092))), c_Wellfounded_Olex__prod(_u7082, _u7084, _u7094, _u7096))) | ( _u7086 != _u7090) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7084, _u7084)), hAPP(hAPP(c_Product__Type_OPair(_u7084, _u7084), _u7088), _u7092)), _u7096)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool)), _u7102), _u7104)), c_Wellfounded_Ofinite__psubset(_u7100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7100, tc_HOL_Obool)), _u7102), _u7104)) )).
% 12.21/12.38 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool)), _u7102), _u7104)), c_Wellfounded_Ofinite__psubset(_u7100))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7100), _u7104)) )).
% 12.21/12.38 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7101, tc_HOL_Obool)), _u7103), _u7105)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7101), _u7105)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7101, tc_HOL_Obool), tc_fun(_u7101, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7101, tc_HOL_Obool), tc_fun(_u7101, tc_HOL_Obool)), _u7103), _u7105)), c_Wellfounded_Ofinite__psubset(_u7101))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7107)), _u7107)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7107), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7108), 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)), _u7108)), _u7108)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7109)), _u7109) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7110)) | 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)), _u7110))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7111), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u7111) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7112) = _u7112) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7113)), _u7113) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7116), _u7118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7116), _u7118)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 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), _u7117), _u7119)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7117), _u7119)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zminus__0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7121)) )).
% 12.21/12.38 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)), _u7122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7122)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_int__0__less__1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7127), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7125), _u7127)) )).
% 12.21/12.38 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7126), _u7128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7126), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7128), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7129)) = _u7129) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7130), _u7131)) | ( _u7130 = _u7131) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7131), _u7130)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7132) = _u7132) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7135), _u7137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7135), _u7137)) )).
% 12.21/12.38 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7135), _u7137)) | ( _u7135 != _u7137) )).
% 12.21/12.38 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7136), _u7138)) | ( _u7136 = _u7138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7136), _u7138)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7139), _u7140)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7139)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7140))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7141), _u7142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7141), _u7143)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7142), _u7143))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7144), _u7145) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7145), _u7144)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7146), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7147), _u7148)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7147), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7146), _u7148))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7149), _u7150)), _u7151) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7149), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7150), _u7151))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7152), _u7153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7154), _u7152)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7154), _u7153))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7155), _u7156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7157), _u7158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7155), _u7157)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7156), _u7158))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7159), _u7160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7159), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7160))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7161), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7162)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7161), _u7162)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7165), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7167), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7165), _u7167)) )).
% 12.21/12.38 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7166), _u7168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7168), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7171), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7173)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7171), _u7173)) )).
% 12.21/12.38 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7172), _u7174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7172), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7174)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7175), _u7176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7175), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7176)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7179), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7181), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7179), _u7181)) | ( _u7179 = _u7181) )).
% 12.21/12.38 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7180), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7182), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7180), _u7182)) )).
% 12.21/12.38 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7180), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7182), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u7180 != _u7182) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u7183) | hBOOL(hAPP(hAPP(c_member(_u7183), c_Groups_Ozero__class_Ozero(_u7183)), c_Int_Oring__1__class_OInts(_u7183))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u7184) | ~hBOOL(hAPP(hAPP(c_member(_u7184), _u7185), c_Int_Oring__1__class_OInts(_u7184))) | ~hBOOL(hAPP(hAPP(c_member(_u7184), _u7186), c_Int_Oring__1__class_OInts(_u7184))) | hBOOL(hAPP(hAPP(c_member(_u7184), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7184), _u7185), _u7186)), c_Int_Oring__1__class_OInts(_u7184))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u7187) | ~hBOOL(hAPP(hAPP(c_member(_u7187), _u7188), c_Int_Oring__1__class_OInts(_u7187))) | ~hBOOL(hAPP(hAPP(c_member(_u7187), _u7189), c_Int_Oring__1__class_OInts(_u7187))) | hBOOL(hAPP(hAPP(c_member(_u7187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7187), _u7188), _u7189)), c_Int_Oring__1__class_OInts(_u7187))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u7190) | ~hBOOL(hAPP(hAPP(c_member(_u7190), _u7191), c_Int_Oring__1__class_OInts(_u7190))) | ~hBOOL(hAPP(hAPP(c_member(_u7190), _u7192), c_Int_Oring__1__class_OInts(_u7190))) | hBOOL(hAPP(hAPP(c_member(_u7190), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7190), _u7191), _u7192)), c_Int_Oring__1__class_OInts(_u7190))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u7193) | hBOOL(hAPP(hAPP(c_member(_u7193), c_Groups_Oone__class_Oone(_u7193)), c_Int_Oring__1__class_OInts(_u7193))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u7194) | ~hBOOL(hAPP(hAPP(c_member(_u7194), _u7195), c_Int_Oring__1__class_OInts(_u7194))) | hBOOL(hAPP(hAPP(c_member(_u7194), hAPP(c_Groups_Ouminus__class_Ouminus(_u7194), _u7195)), c_Int_Oring__1__class_OInts(_u7194))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u7196) | ~hBOOL(hAPP(hAPP(c_member(_u7196), _u7197), c_Int_Oring__1__class_OInts(_u7196))) | hBOOL(hAPP(hAPP(c_member(_u7196), hAPP(hAPP(c_Power_Opower__class_Opower(_u7196), _u7197), _u7198)), c_Int_Oring__1__class_OInts(_u7196))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7199) | ~hBOOL(hAPP(hAPP(c_member(_u7199), _u7200), c_Int_Oring__1__class_OInts(_u7199))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7199), _u7200), _u7200) != c_Groups_Ozero__class_Ozero(_u7199)) | ( _u7200 = c_Groups_Ozero__class_Ozero(_u7199)) )).
% 12.21/12.38 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7199) | ~hBOOL(hAPP(hAPP(c_member(_u7199), _u7200), c_Int_Oring__1__class_OInts(_u7199))) | ( _u7200 != c_Groups_Ozero__class_Ozero(_u7199)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7199), _u7200), _u7200) = c_Groups_Ozero__class_Ozero(_u7199)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u7201) | ~hBOOL(hAPP(hAPP(c_member(_u7201), _u7202), c_Int_Oring__1__class_OInts(_u7201))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7201), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7201), c_Groups_Oone__class_Oone(_u7201)), _u7202)), _u7202) != c_Groups_Ozero__class_Ozero(_u7201)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7203)) | ( _u7203 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7203), _u7205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), _u7203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7205)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7206)) | ( _u7206 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7206), _u7208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7208), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7209), _u7210)), _u7211))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7211), _u7209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7210)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7212), _u7213)), _u7214)), 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)), _u7214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7213), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7215), _u7216)), _u7217)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7215), _u7218)), _u7219))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7217), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7219), _u7215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7216), _u7218)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7220), _u7221)), _u7222) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7223), _u7224)), _u7225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7223), _u7224)), _u7225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7225), _u7223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7223), _u7220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7221), _u7224)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7226), _u7227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7227), _u7226)) | ( _u7226 = _u7227) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7228), _u7229)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7229), _u7230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7228), _u7230)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7231), _u7232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7232), _u7231)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7233), _u7233)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7234), _u7235)), _u7236) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7237), _u7238)), _u7239)) | ~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), _u7237), _u7238)), _u7239)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7236), _u7234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7237), _u7234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7238), _u7235)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7240), _u7241)), _u7242)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7240), _u7243)), _u7244))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7244), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7240), _u7244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7240), _u7242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7243), _u7241)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7245)) | 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), _u7245), _u7246))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u7247, _u7248)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7249, _u7249)), hAPP(hAPP(c_Product__Type_OPair(_u7249, _u7249), _u7250), _u7251)), hAPP(_u7252, _u7248))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7253, _u7249), tc_prod(_u7253, _u7249))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7253, _u7249), tc_prod(_u7253, _u7249)), hAPP(hAPP(c_Product__Type_OPair(_u7253, _u7249), _u7248), _u7250)), hAPP(hAPP(c_Product__Type_OPair(_u7253, _u7249), _u7248), _u7251))), c_Recdef_Osame__fst(_u7253, _u7249, _u7247, _u7252))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7255)) | 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), _u7254), _u7255))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7257)) | 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), _u7256), _u7257))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7260), _u7262)) | ( c_Nat__Transfer_Otsub(_u7262, _u7260) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7262), _u7260)) )).
% 12.21/12.38 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7261), _u7263)) | ( c_Nat__Transfer_Otsub(_u7263, _u7261) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7265)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7265), _u7264)), _u7265) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7265), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7264), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__relI-1, axiom, ( ( _u7266 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7267), _u7268)), _u7269)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7266, _u7267), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7268), _u7269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7267), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_divmod__int__relI-2, axiom, ( ( _u7266 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7267), _u7268)), _u7269)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7266, _u7267), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7268), _u7269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7269), _u7267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7267)) )).
% 12.21/12.38 cnf(fact_divmod__int__relI-3, axiom, ( ( _u7266 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7267), _u7268)), _u7269)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7266, _u7267), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7268), _u7269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7269), _u7267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7267), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7270) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7271), _u7272)) | ~hBOOL(hAPP(hAPP(c_member(_u7271), _u7273), _u7272)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7271, _u7270), hAPP(hAPP(c_COMBC(_u7271, _u7270, _u7270), hAPP(hAPP(c_COMBS(_u7271, _u7270, tc_fun(_u7270, _u7270)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7270, tc_fun(_u7270, _u7270)), _u7271), c_If(_u7270)), hAPP(hAPP(c_COMBC(_u7271, _u7271, tc_HOL_Obool), c_fequal), _u7273))), _u7274)), _u7275)), _u7272) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7270), hAPP(_u7274, _u7273)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7270), _u7275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7271), _u7272)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.38 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7270) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7271), _u7272)) | hBOOL(hAPP(hAPP(c_member(_u7271), _u7273), _u7272)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7271, _u7270), hAPP(hAPP(c_COMBC(_u7271, _u7270, _u7270), hAPP(hAPP(c_COMBS(_u7271, _u7270, tc_fun(_u7270, _u7270)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7270, tc_fun(_u7270, _u7270)), _u7271), c_If(_u7270)), hAPP(hAPP(c_COMBC(_u7271, _u7271, tc_HOL_Obool), c_fequal), _u7273))), _u7274)), _u7275)), _u7272) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7270), _u7275), hAPP(c_Finite__Set_Ocard(_u7271), _u7272))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u7278, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7278, _u7279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u7279, _u7278)), _u7279)) )).
% 12.21/12.38 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u7278, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7278, _u7279)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7276), skolem119(_u7279, _u7278))) | ~hBOOL(hAPP(_u7278, _u7276)) )).
% 12.21/12.38 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u7278, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7278, _u7279)) | hBOOL(hAPP(_u7278, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem119(_u7279, _u7278)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool)), _u7281), _u7282)), c_Wellfounded_Omax__ext(_u7280, _u7283))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool)), _u7284), _u7285)), c_Wellfounded_Omax__ext(_u7280, _u7283))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7280, tc_HOL_Obool)), _u7281), _u7284)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7280, tc_HOL_Obool)), _u7282), _u7285))), c_Wellfounded_Omax__ext(_u7280, _u7283))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7286, _u7287), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7288), _u7289))) | ( _u7287 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7286), _u7287) = _u7288) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7290) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7291)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7292)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7291), _u7292)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7293), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7294)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7293)), _u7294)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7295) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7295), _u7296), c_Groups_Ozero__class_Ozero(_u7295)) = c_Groups_Ozero__class_Ozero(_u7295)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7297) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7297), c_Groups_Ozero__class_Ozero(_u7297)), _u7298) = c_Groups_Ozero__class_Ozero(_u7297)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u7299) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7299), _u7300), c_Groups_Oone__class_Oone(_u7299)) = _u7300) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7301) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7302, _u7301), hAPP(hAPP(c_COMBS(_u7302, _u7301, _u7301), hAPP(hAPP(c_COMBB(_u7301, tc_fun(_u7301, _u7301), _u7302), c_Groups_Otimes__class_Otimes(_u7301)), _u7303)), _u7304)), _u7305) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7302, _u7301), _u7303), _u7305)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7302, _u7301), _u7304), _u7305))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7307, _u7306), hAPP(c_COMBK(_u7306, _u7307), c_Groups_Oone__class_Oone(_u7306))), _u7308) = c_Groups_Oone__class_Oone(_u7306)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u7309 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7309), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7310, _u7310), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7311), _u7312))) | ( _u7310 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7312 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7313, _u7314), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7315), _u7316))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7313, _u7314), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7317), _u7318))) | ( _u7314 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7315 = _u7317) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7319, _u7320), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7321), _u7322))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7319, _u7320), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7323), _u7324))) | ( _u7320 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7322 = _u7324) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7327) | ~class_Rings_Ono__zero__divisors(_u7327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7328), _u7329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7328, _u7327), _u7330), _u7329) != c_Groups_Ozero__class_Ozero(_u7327)) | hBOOL(hAPP(hAPP(c_member(_u7328), skolem120(_u7330, _u7329, _u7328, _u7327)), _u7329)) )).
% 12.21/12.38 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7327) | ~class_Rings_Ono__zero__divisors(_u7327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7328), _u7329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7328, _u7327), _u7330), _u7329) != c_Groups_Ozero__class_Ozero(_u7327)) | ( hAPP(_u7330, skolem120(_u7330, _u7329, _u7328, _u7327)) = c_Groups_Ozero__class_Ozero(_u7327)) )).
% 12.21/12.38 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7327) | ~class_Rings_Ono__zero__divisors(_u7327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7328), _u7329)) | ~hBOOL(hAPP(hAPP(c_member(_u7328), _u7326), _u7329)) | ( hAPP(_u7330, _u7326) != c_Groups_Ozero__class_Ozero(_u7327)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7328, _u7327), _u7330), _u7329) = c_Groups_Ozero__class_Ozero(_u7327)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7333), _u7334)) | ~hBOOL(hAPP(hAPP(c_member(_u7333), _u7331), _u7334)) | ( hAPP(_u7335, _u7331) != c_Groups_Ozero__class_Ozero(_u7332)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7333, _u7332), _u7335), _u7334) = c_Groups_Ozero__class_Ozero(_u7332)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7336) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7337, _u7336), _u7338), c_Orderings_Obot__class_Obot(tc_fun(_u7337, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u7336)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7339) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7340, _u7339), _u7341), c_Orderings_Obot__class_Obot(tc_fun(_u7340, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u7339)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7342) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7343), _u7344)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7343, _u7342), _u7345), _u7344) = c_Groups_Oone__class_Oone(_u7342)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7346) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7347), _u7348)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7347, _u7346), _u7349), _u7348) = c_Groups_Oone__class_Oone(_u7346)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7352, tc_Nat_Onat), _u7354), _u7353) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7352), _u7350), _u7353)) | ( hAPP(_u7354, _u7350) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7352, tc_Nat_Onat), _u7354), _u7353) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7352), skolem121(_u7354, _u7353, _u7352)), _u7353)) )).
% 12.21/12.38 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7352, tc_Nat_Onat), _u7354), _u7353) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u7354, skolem121(_u7354, _u7353, _u7352)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7356)) | 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), _u7355), _u7356))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7357), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7357), _u7358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7359), 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), _u7360), _u7359)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7360)) )).
% 12.21/12.38 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7359), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7360), _u7359)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7362), _u7361)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 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)), _u7361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7362), 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), _u7362), _u7361)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__self-1, axiom, ( ( _u7363 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7363), _u7363) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7365), _u7366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7365, _u7364), hAPP(hAPP(c_COMBS(_u7365, _u7364, _u7364), hAPP(hAPP(c_COMBB(_u7364, tc_fun(_u7364, _u7364), _u7365), c_Groups_Otimes__class_Otimes(_u7364)), _u7367)), _u7368)), _u7366) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7364), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7365, _u7364), _u7367), _u7366)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7365, _u7364), _u7368), _u7366))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u7369) | ( _u7370 != c_Groups_Ozero__class_Ozero(_u7369)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7372)) = c_Groups_Ozero__class_Ozero(_u7369)) )).
% 12.21/12.38 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u7369) | ( _u7370 = c_Groups_Ozero__class_Ozero(_u7369)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7372)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7369), _u7371), _u7372)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u7373) | ( _u7374 = c_Groups_Ozero__class_Ozero(_u7373)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7373), _u7375), _u7374)), _u7374) = _u7375) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u7376) | ( _u7377 = c_Groups_Ozero__class_Ozero(_u7376)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7376), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7376), _u7377), _u7378)), _u7377) = _u7378) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u7379) | ( _u7380 = c_Groups_Ozero__class_Ozero(_u7379)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7379), _u7381), _u7380)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7379), _u7382), _u7380)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7379), _u7381), _u7382)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u7383) | ( _u7384 = c_Groups_Ozero__class_Ozero(_u7383)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7383), _u7384), _u7385)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7383), _u7384), _u7386)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7383), _u7385), _u7386)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u7387) | ( _u7388 = c_Groups_Ozero__class_Ozero(_u7387)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7387), _u7388), _u7388) = c_Groups_Oone__class_Oone(_u7387)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7391), _u7392)) | ~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(_u7391, tc_Nat_Onat), _u7393), _u7392))) | ~hBOOL(hAPP(hAPP(c_member(_u7391), _u7389), _u7392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7393, _u7389))) )).
% 12.21/12.38 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7391), _u7392)) | 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(_u7391, tc_Nat_Onat), _u7393), _u7392))) | hBOOL(hAPP(hAPP(c_member(_u7391), skolem122(_u7393, _u7392, _u7391)), _u7392)) )).
% 12.21/12.38 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7391), _u7392)) | 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(_u7391, tc_Nat_Onat), _u7393), _u7392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7393, skolem122(_u7393, _u7392, _u7391)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7394) | ~c_Fun_Oinj__on(_u7395, _u7396, _u7397, _u7398) | ( _u7399 != hAPP(c_Set_Oimage(_u7395, _u7396, _u7397), _u7398)) | ( _u7400 != hAPP(c_Fun_Ocomp(_u7396, _u7394, _u7395, _u7401), _u7397)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7396, _u7394), _u7401), _u7399) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7395, _u7394), _u7400), _u7398)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7402) | ~c_Fun_Oinj__on(_u7403, _u7404, _u7405, _u7406) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7404, _u7402), _u7407), hAPP(c_Set_Oimage(_u7403, _u7404, _u7405), _u7406)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7403, _u7402), hAPP(c_Fun_Ocomp(_u7404, _u7402, _u7403, _u7407), _u7405)), _u7406)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7408, _u7408), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7409), _u7410))) | ( _u7408 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7409 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7411), _u7412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7413), 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), _u7412), _u7413)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7411), _u7413))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7414), _u7415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7414), _u7416)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7415), _u7416))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7417), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7418), _u7417)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7417), _u7418) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7419), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7420), _u7421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7419), _u7420)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7419), _u7421))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7422), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7422), _u7423)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7424), 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), _u7425), _u7424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7425), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7424), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7425), 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), _u7425), _u7424))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7426), _u7427)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7426), _u7427) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7429), 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), _u7428), _u7429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7431), _u7432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7430), _u7432)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7430), _u7431))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7433)) | ~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), _u7433), _u7434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7434), _u7433)) )).
% 12.21/12.38 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)), _u7433)) | ~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), _u7433), _u7434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7434)) )).
% 12.21/12.38 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)), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7434), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7434)) | 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), _u7433), _u7434))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7435)) | ~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), _u7436), _u7435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7435), _u7436)) )).
% 12.21/12.38 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)), _u7435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7435), _u7436)) | 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), _u7436), _u7435))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7437)) | ~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), _u7438), _u7437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7438)) )).
% 12.21/12.38 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)), _u7437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7438)) | 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), _u7438), _u7437))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = 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)), _u7441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = 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)), _u7441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7443), _u7441)) )).
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7441), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7441), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7443), _u7441)) )).
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7442), _u7444) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7444 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7442), _u7444) = 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)), _u7442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7442), _u7444)) )).
% 12.21/12.38 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7442), _u7444) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7442), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7444), _u7442)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7445), _u7446)), _u7445)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7447)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7447)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7448), _u7449)), _u7447)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7451), _u7452)) | ~hBOOL(hAPP(hAPP(c_member(_u7451), _u7453), _u7452)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7451, _u7450), hAPP(hAPP(c_COMBC(_u7451, _u7450, _u7450), hAPP(hAPP(c_COMBS(_u7451, _u7450, tc_fun(_u7450, _u7450)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7450, tc_fun(_u7450, _u7450)), _u7451), c_If(_u7450)), hAPP(c_fequal, _u7453))), _u7454)), c_Groups_Oone__class_Oone(_u7450))), _u7452) = hAPP(_u7454, _u7453)) )).
% 12.21/12.38 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7451), _u7452)) | hBOOL(hAPP(hAPP(c_member(_u7451), _u7453), _u7452)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7451, _u7450), hAPP(hAPP(c_COMBC(_u7451, _u7450, _u7450), hAPP(hAPP(c_COMBS(_u7451, _u7450, tc_fun(_u7450, _u7450)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7450, tc_fun(_u7450, _u7450)), _u7451), c_If(_u7450)), hAPP(c_fequal, _u7453))), _u7454)), c_Groups_Oone__class_Oone(_u7450))), _u7452) = c_Groups_Oone__class_Oone(_u7450)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7456), _u7457)) | ~hBOOL(hAPP(hAPP(c_member(_u7456), _u7458), _u7457)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7456, _u7455), hAPP(hAPP(c_COMBC(_u7456, _u7455, _u7455), hAPP(hAPP(c_COMBS(_u7456, _u7455, tc_fun(_u7455, _u7455)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7455, tc_fun(_u7455, _u7455)), _u7456), c_If(_u7455)), hAPP(hAPP(c_COMBC(_u7456, _u7456, tc_HOL_Obool), c_fequal), _u7458))), _u7459)), c_Groups_Oone__class_Oone(_u7455))), _u7457) = hAPP(_u7459, _u7458)) )).
% 12.21/12.38 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7456), _u7457)) | hBOOL(hAPP(hAPP(c_member(_u7456), _u7458), _u7457)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7456, _u7455), hAPP(hAPP(c_COMBC(_u7456, _u7455, _u7455), hAPP(hAPP(c_COMBS(_u7456, _u7455, tc_fun(_u7455, _u7455)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7455, tc_fun(_u7455, _u7455)), _u7456), c_If(_u7455)), hAPP(hAPP(c_COMBC(_u7456, _u7456, tc_HOL_Obool), c_fequal), _u7458))), _u7459)), c_Groups_Oone__class_Oone(_u7455))), _u7457) = c_Groups_Oone__class_Oone(_u7455)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7460) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7461), _u7462)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7461, _u7460), hAPP(c_COMBK(_u7460, _u7461), _u7463)), _u7462) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7460), _u7463), hAPP(c_Finite__Set_Ocard(_u7461), _u7462))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u7464) | ( _u7465 = c_Groups_Ozero__class_Ozero(_u7464)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7464), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7464), _u7466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7464), _u7465), _u7467))), _u7465) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7464), _u7467), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7464), _u7466), _u7465))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u7468) | ( _u7469 = c_Groups_Ozero__class_Ozero(_u7468)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7468), _u7470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7468), _u7471), _u7469))), _u7469) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7468), _u7471), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7468), _u7470), _u7469))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u7472) | ( _u7473 = c_Groups_Ozero__class_Ozero(_u7472)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7472), _u7473), _u7474)), _u7473) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7472), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), _u7474), _u7473)), c_Groups_Oone__class_Oone(_u7472))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u7475) | ( _u7476 = c_Groups_Ozero__class_Ozero(_u7475)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7475), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), _u7477), _u7476)), _u7476) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7475), _u7477), _u7476)), c_Groups_Oone__class_Oone(_u7475))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7479), _u7480)) | hBOOL(hAPP(hAPP(c_member(_u7479), _u7481), _u7480)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7479, _u7478), _u7482), hAPP(hAPP(c_Set_Oinsert(_u7479), _u7481), _u7480)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7478), hAPP(_u7482, _u7481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7479, _u7478), _u7482), _u7480))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7483) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7484), _u7485)) | hBOOL(hAPP(hAPP(c_member(_u7484), _u7486), _u7485)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7484, _u7483), _u7487), hAPP(hAPP(c_Set_Oinsert(_u7484), _u7486), _u7485)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7483), hAPP(_u7487, _u7486)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7484, _u7483), _u7487), _u7485))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7489), _u7490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7489), _u7491)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7488), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7489, tc_HOL_Obool)), _u7490), _u7491))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7489, tc_HOL_Obool)), _u7490), _u7491))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7488), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), _u7490)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), _u7491))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7494), _u7495)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7494), _u7496)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7493), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7494, tc_HOL_Obool)), _u7495), _u7496))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7494, tc_HOL_Obool)), _u7495), _u7496))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7493), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), _u7495)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), _u7496))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7498) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7499), _u7500)) | ~c_Fun_Oinj__on(_u7499, _u7499, _u7501, _u7500) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7499, _u7498), _u7502), hAPP(c_Set_Oimage(_u7499, _u7499, _u7501), _u7500)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7499, _u7498), hAPP(c_Fun_Ocomp(_u7499, _u7498, _u7499, _u7502), _u7501)), _u7500)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7503) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7504), _u7505)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7504, _u7503), _u7506), _u7505) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7503, _u7504, c_Groups_Otimes__class_Otimes(_u7503)), _u7506), c_Groups_Oone__class_Oone(_u7503)), _u7505)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7508), _u7509)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7508, _u7507), _u7510), _u7509) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7507, _u7508, c_Groups_Otimes__class_Otimes(_u7507)), _u7510), c_Groups_Oone__class_Oone(_u7507)), _u7509)) )).
% 12.21/12.38 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7507) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7508), _u7509)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7508, _u7507), _u7510), _u7509) = c_Groups_Oone__class_Oone(_u7507)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7512), _u7513)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7512, _u7511), _u7514), hAPP(hAPP(c_Set_Oinsert(_u7512), _u7515), _u7513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7511), hAPP(_u7514, _u7515)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7512, _u7511), _u7514), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7512, tc_HOL_Obool)), _u7513), hAPP(hAPP(c_Set_Oinsert(_u7512), _u7515), c_Orderings_Obot__class_Obot(tc_fun(_u7512, tc_HOL_Obool))))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7516) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7517), _u7518)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7517), _u7519)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7517, tc_HOL_Obool)), _u7518), _u7519) != c_Orderings_Obot__class_Obot(tc_fun(_u7517, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7517, _u7516), _u7520), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7517, tc_HOL_Obool)), _u7518), _u7519)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7516), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7517, _u7516), _u7520), _u7518)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7517, _u7516), _u7520), _u7519))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7522), _u7523)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7522), _u7524)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7522, tc_HOL_Obool)), _u7523), _u7524) != c_Orderings_Obot__class_Obot(tc_fun(_u7522, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7522, _u7521), _u7525), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7522, tc_HOL_Obool)), _u7523), _u7524)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7521), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7522, _u7521), _u7525), _u7523)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7522, _u7521), _u7525), _u7524))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u7537, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7541))) | ( _u7541 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u7537, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u7537, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7526), _u7541)) | ( _u7539 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7541), _u7527)), _u7526)) | hBOOL(hAPP(_u7537, _u7527)) )).
% 12.21/12.38 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u7537, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7541), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7541), _u7528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7528), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7539 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7541), _u7529)), _u7528)) | hBOOL(hAPP(_u7537, _u7529)) )).
% 12.21/12.38 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.38 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.38 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u7543 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7544), _u7545)), _u7546)) | ( _u7544 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7543), _u7544) = _u7545) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7544), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u7543 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7544), _u7545)), _u7546)) | ( _u7544 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7543), _u7544) = _u7545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7546), _u7544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7544)) )).
% 12.21/12.38 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u7543 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7544), _u7545)), _u7546)) | ( _u7544 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7543), _u7544) = _u7545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7546), _u7544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7544), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u7547, _u7548))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7549), _u7550)) | ( c_Nat__Transfer_Otsub(_u7550, _u7549) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7550), _u7549)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7552), _u7553)) | ~hBOOL(hAPP(hAPP(c_member(_u7552), _u7554), _u7553)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7552, _u7551), _u7555), _u7553) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7551), hAPP(_u7555, _u7554)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7552, _u7551), _u7555), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7552, tc_HOL_Obool)), _u7553), hAPP(hAPP(c_Set_Oinsert(_u7552), _u7554), c_Orderings_Obot__class_Obot(tc_fun(_u7552, tc_HOL_Obool))))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7556, _u7557), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7558), _u7559))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7556), _u7557), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7559), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7558)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7558)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7559), 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), _u7557), _u7559))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u7564, hAPP(hAPP(c_COMBC(_u7564, tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7564, tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool)), _u7564), c_COMBC(_u7564, tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7564, tc_prod(_u7564, _u7564)), tc_fun(_u7564, tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool)), _u7564), hAPP(c_COMBB(tc_prod(_u7564, _u7564), tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool), _u7564), c_member(tc_prod(_u7564, _u7564)))), c_Product__Type_OPair(_u7564, _u7564)))), _u7566), _u7568, _u7570) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7564, tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7564, tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool)), _u7568), _u7570)), c_Wellfounded_Omax__ext(_u7564, _u7566))) )).
% 12.21/12.38 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7565, tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7565, tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool)), _u7569), _u7571)), c_Wellfounded_Omax__ext(_u7565, _u7567))) | c_Wellfounded_Omax__extp(_u7565, hAPP(hAPP(c_COMBC(_u7565, tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7565, tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool)), _u7565), c_COMBC(_u7565, tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7565, tc_prod(_u7565, _u7565)), tc_fun(_u7565, tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool)), _u7565), hAPP(c_COMBB(tc_prod(_u7565, _u7565), tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool), _u7565), c_member(tc_prod(_u7565, _u7565)))), c_Product__Type_OPair(_u7565, _u7565)))), _u7567), _u7569, _u7571) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7574)) | ( c_SMT_Oz3div(_u7576, _u7574) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7576), _u7574)) )).
% 12.21/12.38 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)), _u7575)) | ( c_SMT_Oz3div(_u7577, _u7575) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7577), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7575)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7580), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7582, _u7580) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7582), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7580))) )).
% 12.21/12.38 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7581), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7583, _u7581) = 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))) | ( _u7583 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7581), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7583, _u7581) = 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))) | ( _u7581 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7581), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7583 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u7583, _u7581) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u7583), _u7581)), 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), _u7583))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7581)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7585) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7587)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7588)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7586, tc_HOL_Obool)), _u7587), _u7588)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7585), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7587)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7588))) | hBOOL(hAPP(hAPP(c_member(_u7586), skolem127(_u7589, _u7588, _u7587, _u7586, _u7585)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7586, tc_HOL_Obool)), _u7587), _u7588))) )).
% 12.21/12.38 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7585) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7587)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7588)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7586, tc_HOL_Obool)), _u7587), _u7588)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7585), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7587)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7588))) | ( hAPP(_u7589, skolem127(_u7589, _u7588, _u7587, _u7586, _u7585)) != c_Groups_Oone__class_Oone(_u7585)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7593)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7592, tc_HOL_Obool)), _u7593), _u7594)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7591), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7593)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7594))) | hBOOL(hAPP(hAPP(c_member(_u7592), skolem128(_u7595, _u7594, _u7593, _u7592, _u7591)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7592, tc_HOL_Obool)), _u7593), _u7594))) )).
% 12.21/12.38 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7593)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7592, tc_HOL_Obool)), _u7593), _u7594)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7591), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7593)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7594))) | ( hAPP(_u7595, skolem128(_u7595, _u7594, _u7593, _u7592, _u7591)) != c_Groups_Oone__class_Oone(_u7591)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7596, _u7597), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7598), _u7599))) | ( _u7597 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7600)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7596, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7597), _u7600)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7598), _u7600)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7597), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7598, _u7600))), _u7599)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u7601) | ( c_Divides_Odiv__class_Omod(_u7601, _u7602, _u7603) != c_Divides_Odiv__class_Omod(_u7601, _u7604, _u7603)) | ( c_Divides_Odiv__class_Omod(_u7601, _u7605, _u7603) != c_Divides_Odiv__class_Omod(_u7601, _u7606, _u7603)) | ( c_Divides_Odiv__class_Omod(_u7601, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7601), _u7602), _u7605), _u7603) = c_Divides_Odiv__class_Omod(_u7601, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7601), _u7604), _u7606), _u7603)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u7607) | ( c_Divides_Odiv__class_Omod(_u7607, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), c_Divides_Odiv__class_Omod(_u7607, _u7608, _u7609)), _u7610), _u7609) = c_Divides_Odiv__class_Omod(_u7607, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), _u7608), _u7610), _u7609)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u7611) | ( c_Divides_Odiv__class_Omod(_u7611, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7612), c_Divides_Odiv__class_Omod(_u7611, _u7613, _u7614)), _u7614) = c_Divides_Odiv__class_Omod(_u7611, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7612), _u7613), _u7614)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u7615) | ( c_Divides_Odiv__class_Omod(_u7615, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), _u7616), _u7617), _u7618) = c_Divides_Odiv__class_Omod(_u7615, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), c_Divides_Odiv__class_Omod(_u7615, _u7616, _u7618)), c_Divides_Odiv__class_Omod(_u7615, _u7617, _u7618)), _u7618)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u7619) | ( c_Divides_Odiv__class_Omod(_u7619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7619), _u7620), _u7621), _u7622) = c_Divides_Odiv__class_Omod(_u7619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7619), c_Divides_Odiv__class_Omod(_u7619, _u7620, _u7622)), _u7621), _u7622)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u7623) | ( c_Divides_Odiv__class_Omod(_u7623, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7623), _u7624), _u7625), _u7626) = c_Divides_Odiv__class_Omod(_u7623, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7623), _u7624), c_Divides_Odiv__class_Omod(_u7623, _u7625, _u7626)), _u7626)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u7627) | ( c_Divides_Odiv__class_Omod(_u7627, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7627), _u7628), _u7629), _u7628) = c_Divides_Odiv__class_Omod(_u7627, _u7629, _u7628)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u7630) | ( c_Divides_Odiv__class_Omod(_u7630, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7630), _u7631), _u7632), _u7632) = c_Divides_Odiv__class_Omod(_u7630, _u7631, _u7632)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u7633) | ( c_Divides_Odiv__class_Omod(_u7633, _u7634, _u7635) != c_Divides_Odiv__class_Omod(_u7633, _u7636, _u7635)) | ( c_Divides_Odiv__class_Omod(_u7633, _u7637, _u7635) != c_Divides_Odiv__class_Omod(_u7633, _u7638, _u7635)) | ( c_Divides_Odiv__class_Omod(_u7633, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7633), _u7634), _u7637), _u7635) = c_Divides_Odiv__class_Omod(_u7633, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7633), _u7636), _u7638), _u7635)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u7639) | ( c_Divides_Odiv__class_Omod(_u7639, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7639), c_Divides_Odiv__class_Omod(_u7639, _u7640, _u7641)), _u7642), _u7641) = c_Divides_Odiv__class_Omod(_u7639, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7639), _u7640), _u7642), _u7641)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u7643) | ( c_Divides_Odiv__class_Omod(_u7643, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7643), _u7644), _u7645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7643), _u7646), _u7645)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7643), c_Divides_Odiv__class_Omod(_u7643, _u7644, _u7646)), _u7645)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u7647) | ( c_Divides_Odiv__class_Omod(_u7647, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7647), _u7648), _u7649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7647), _u7648), _u7650)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7647), _u7648), c_Divides_Odiv__class_Omod(_u7647, _u7649, _u7650))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u7651) | ( c_Divides_Odiv__class_Omod(_u7651, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7651), _u7652), _u7653), _u7654) = c_Divides_Odiv__class_Omod(_u7651, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7651), c_Divides_Odiv__class_Omod(_u7651, _u7652, _u7654)), c_Divides_Odiv__class_Omod(_u7651, _u7653, _u7654)), _u7654)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u7655) | ( c_Divides_Odiv__class_Omod(_u7655, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), _u7656), _u7657), _u7658) = c_Divides_Odiv__class_Omod(_u7655, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), c_Divides_Odiv__class_Omod(_u7655, _u7656, _u7658)), _u7657), _u7658)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u7659) | ( c_Divides_Odiv__class_Omod(_u7659, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7659), _u7660), _u7661), _u7662) = c_Divides_Odiv__class_Omod(_u7659, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7659), _u7660), c_Divides_Odiv__class_Omod(_u7659, _u7661, _u7662)), _u7662)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u7663) | ( c_Divides_Odiv__class_Omod(_u7663, _u7664, _u7664) = c_Groups_Ozero__class_Ozero(_u7663)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7665) | ( c_Divides_Odiv__class_Omod(_u7665, _u7666, c_Groups_Ozero__class_Ozero(_u7665)) = _u7666) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7667) | ( c_Divides_Odiv__class_Omod(_u7667, c_Groups_Ozero__class_Ozero(_u7667), _u7668) = c_Groups_Ozero__class_Ozero(_u7667)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u7669) | ( c_Divides_Odiv__class_Omod(_u7669, c_Divides_Odiv__class_Omod(_u7669, _u7670, _u7671), _u7671) = c_Divides_Odiv__class_Omod(_u7669, _u7670, _u7671)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u7672) | ( c_Divides_Odiv__class_Omod(_u7672, _u7673, _u7674) != c_Divides_Odiv__class_Omod(_u7672, _u7675, _u7674)) | ( c_Divides_Odiv__class_Omod(_u7672, _u7676, _u7674) != c_Divides_Odiv__class_Omod(_u7672, _u7677, _u7674)) | ( c_Divides_Odiv__class_Omod(_u7672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7672), _u7673), _u7676), _u7674) = c_Divides_Odiv__class_Omod(_u7672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7672), _u7675), _u7677), _u7674)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u7678) | ( c_Divides_Odiv__class_Omod(_u7678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7678), _u7679), _u7680), _u7681) = c_Divides_Odiv__class_Omod(_u7678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7678), c_Divides_Odiv__class_Omod(_u7678, _u7679, _u7681)), c_Divides_Odiv__class_Omod(_u7678, _u7680, _u7681)), _u7681)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u7682) | ( c_Divides_Odiv__class_Omod(_u7682, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7682), _u7683), _u7684), _u7685) = c_Divides_Odiv__class_Omod(_u7682, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7682), c_Divides_Odiv__class_Omod(_u7682, _u7683, _u7685)), _u7684), _u7685)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u7686) | ( c_Divides_Odiv__class_Omod(_u7686, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7686), _u7687), _u7688), _u7689) = c_Divides_Odiv__class_Omod(_u7686, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7686), _u7687), c_Divides_Odiv__class_Omod(_u7686, _u7688, _u7689)), _u7689)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u7690) | ( c_Divides_Odiv__class_Omod(_u7690, hAPP(c_Groups_Ouminus__class_Ouminus(_u7690), _u7691), _u7692) = c_Divides_Odiv__class_Omod(_u7690, hAPP(c_Groups_Ouminus__class_Ouminus(_u7690), c_Divides_Odiv__class_Omod(_u7690, _u7691, _u7692)), _u7692)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u7693) | ( c_Divides_Odiv__class_Omod(_u7693, _u7694, _u7695) != c_Divides_Odiv__class_Omod(_u7693, _u7696, _u7695)) | ( c_Divides_Odiv__class_Omod(_u7693, hAPP(c_Groups_Ouminus__class_Ouminus(_u7693), _u7694), _u7695) = c_Divides_Odiv__class_Omod(_u7693, hAPP(c_Groups_Ouminus__class_Ouminus(_u7693), _u7696), _u7695)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7697), _u7698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7697), _u7699)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7698), _u7699))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__le__dividend-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7700), _u7701)), _u7700)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7703), _u7704)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7702), _u7703)), _u7704)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7705) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7706, _u7706) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7707), _u7708), _u7709) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7707), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7708, _u7709)), _u7709)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7710), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7711, _u7712)), _u7712) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7710), _u7711), _u7712)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7713), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7714, _u7715)), _u7715) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7713), _u7714), _u7715)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 12.21/12.38 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, _u7716, _u7717)), _u7718), _u7717) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7716), _u7718), _u7717)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7719, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7720)) = 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), _u7719), _u7720))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7721), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7722)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7721, _u7722))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 12.21/12.38 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, _u7723, _u7724)), _u7724) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7723), _u7724)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.21/12.38 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, _u7725, _u7726)), _u7727), _u7726) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7725), _u7727), _u7726)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7728) | ( c_Divides_Odiv__class_Omod(_u7728, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7728), _u7729), _u7730), _u7729) = c_Groups_Ozero__class_Ozero(_u7728)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7731) | ( c_Divides_Odiv__class_Omod(_u7731, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7731), _u7732), _u7733), _u7733) = c_Groups_Ozero__class_Ozero(_u7731)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u7734) | ( c_Divides_Odiv__class_Omod(_u7734, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7734), _u7735), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7734), _u7736), _u7737)), _u7737) = c_Divides_Odiv__class_Omod(_u7734, _u7735, _u7737)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u7738) | ( c_Divides_Odiv__class_Omod(_u7738, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7738), _u7739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7738), _u7740), _u7741)), _u7740) = c_Divides_Odiv__class_Omod(_u7738, _u7739, _u7740)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u7742) | ( c_Divides_Odiv__class_Omod(_u7742, _u7743, c_Groups_Oone__class_Oone(_u7742)) = c_Groups_Ozero__class_Ozero(_u7742)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u7744) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7744), c_Divides_Odiv__class_Omod(_u7744, _u7745, _u7746)), _u7746) = c_Groups_Ozero__class_Ozero(_u7744)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7747), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u7747) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7748), _u7749)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7748), _u7749) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u7753 != 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), _u7753), _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7753), _u7757)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u7754 = 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), _u7754), _u7756)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7754), _u7758)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7756), _u7758)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7759, _u7760)), _u7759)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7762)) | 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, _u7761, _u7762))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7764, _u7763)), _u7763)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7765), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7765), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7766, _u7765))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7771, _u7773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7771 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7773), skolem129(_u7773, _u7771))) )).
% 12.21/12.38 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u7772 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7774), _u7768)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7772, _u7774) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7775), _u7776) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7775, _u7776) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7777, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7778)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7777, _u7778) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.21/12.38 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, _u7779, _u7780)), _u7780) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7782), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7783, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u7783) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7784), _u7785)), _u7786) = 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), _u7784), _u7786)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7785), _u7786))), 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, _u7784, _u7786)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7785, _u7786))), _u7786))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u7787) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7787), c_Divides_Odiv__class_Omod(_u7787, _u7788, _u7789)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7787), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7787), _u7788), _u7789)), _u7789)) = _u7788) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u7790) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7790), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7790), _u7791), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7790), _u7792), _u7791))), c_Divides_Odiv__class_Omod(_u7790, _u7792, _u7791)) = _u7792) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u7793) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7793), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7793), _u7794), _u7795)), _u7795)), c_Divides_Odiv__class_Omod(_u7793, _u7794, _u7795)) = _u7794) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u7796) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7796), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7796), _u7797), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7796), _u7798), _u7797))), c_Divides_Odiv__class_Omod(_u7796, _u7798, _u7797))), _u7799) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7796), _u7798), _u7799)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u7800) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7800), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7800), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7800), _u7801), _u7802)), _u7802)), c_Divides_Odiv__class_Omod(_u7800, _u7801, _u7802))), _u7803) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7800), _u7801), _u7803)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7804), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7806), _u7805)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7806), _u7804))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7807)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7807), _u7808)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7807), _u7809)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7808), _u7809)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7810)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7811), _u7810)), _u7810) = _u7811) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7812)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7812), _u7813)), _u7812) = _u7813) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7814)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7815), _u7814)), _u7815)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7816)) | 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, _u7817, _u7816))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7818)) | 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, _u7819, _u7818))) )).
% 12.21/12.38 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)), _u7818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7819, _u7818)), _u7818)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7820), _u7821)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7820, _u7821) = _u7820) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7822), 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, _u7823, _u7822)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), 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, _u7825, _u7824)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7825, _u7824))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7826), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7827), _u7826)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7826, _u7827) = _u7826) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7830, _u7832) != 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), _u7830), _u7832) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7831, _u7833) = 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), _u7831), _u7833) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7833), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7831, _u7833))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7836, _u7838) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7836, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7838)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7837, _u7839) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7837, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7839)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7837, _u7839)), _u7839)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u7840 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7841), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7840), _u7841))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7840, _u7841))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7842), _u7843)), _u7844) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7842), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7843), _u7844))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7842), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7843, _u7844))), _u7844))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7845), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7846), _u7845))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7846, _u7845))), _u7847) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7846), _u7847)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7848), _u7849)), _u7849)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7848, _u7849))), _u7850) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7848), _u7850)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7851, _u7852) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7851), _u7852)), _u7852))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7853), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7854), _u7853)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7854), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7854, _u7853))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7855, _u7856), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7857), _u7858))) | ( _u7856 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7855, _u7856) = _u7858) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7860), _u7859)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7860), _u7859) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7860), _u7859)), _u7859))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__if ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7862), _u7861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7862), _u7861) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 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)), _u7861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7862), _u7861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7862), _u7861) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7862), _u7861)), _u7861))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__div ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u7870, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7872), _u7874))) | ( _u7874 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7870, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u7870, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7872), _u7874))) | ( _u7874 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7863), _u7874)) | ( _u7872 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7874), _u7864)), _u7863)) | hBOOL(hAPP(_u7870, _u7864)) )).
% 12.21/12.38 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ( _u7875 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem131(_u7875, _u7873, _u7871)), _u7875)) )).
% 12.21/12.38 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ( _u7875 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7873 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7875), skolem130(_u7875, _u7873, _u7871))), skolem131(_u7875, _u7873, _u7871))) )).
% 12.21/12.38 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ( _u7875 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7871, skolem130(_u7875, _u7873, _u7871))) )).
% 12.21/12.38 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7875 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem131(_u7875, _u7873, _u7871)), _u7875)) )).
% 12.21/12.38 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7873 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7875), skolem130(_u7875, _u7873, _u7871))), skolem131(_u7875, _u7873, _u7871))) )).
% 12.21/12.38 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7871, skolem130(_u7875, _u7873, _u7871))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7876), _u7877)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7876, _u7877) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7876), _u7877)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u7878 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7879, _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7879), _u7878)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7879, _u7878)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7880)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7880), _u7881)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7881), _u7880) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7881), _u7880)), _u7880))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | ( _u7891 = 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), _u7891), skolem132(_u7891, _u7889, _u7887))), _u7889)) )).
% 12.21/12.38 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | ( _u7891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7891), hAPP(c_Nat_OSuc, skolem132(_u7891, _u7889, _u7887))))) )).
% 12.21/12.38 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | ( _u7891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7887, skolem132(_u7891, _u7889, _u7887))) )).
% 12.21/12.38 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | hBOOL(hAPP(_u7887, 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), _u7891), skolem132(_u7891, _u7889, _u7887))), _u7889)) )).
% 12.21/12.38 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | hBOOL(hAPP(_u7887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7891), hAPP(c_Nat_OSuc, skolem132(_u7891, _u7889, _u7887))))) )).
% 12.21/12.38 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | hBOOL(hAPP(_u7887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7887, skolem132(_u7891, _u7889, _u7887))) )).
% 12.21/12.38 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u7888, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7890), _u7892))) | ( _u7892 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7888, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u7888, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7890), _u7892))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7892), _u7883)), _u7890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7890), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7892), hAPP(c_Nat_OSuc, _u7883)))) | ~hBOOL(hAPP(_u7888, _u7883)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), _u7894)), _u7895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), hAPP(c_Nat_OSuc, _u7894)))) | ( _u7894 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7895), _u7893)) )).
% 12.21/12.38 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)), _u7893)) | ( _u7894 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7895), _u7893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), _u7894)), _u7895)) )).
% 12.21/12.38 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)), _u7893)) | ( _u7894 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7895), _u7893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), hAPP(c_Nat_OSuc, _u7894)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u7896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7897), _u7898)), _u7899)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7896, _u7897) = _u7899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7897), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7899), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u7896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7897), _u7898)), _u7899)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7896, _u7897) = _u7899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7899), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7897)) )).
% 12.21/12.38 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u7896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7897), _u7898)), _u7899)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7896, _u7897) = _u7899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7899), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7897), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7899), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7901), _u7902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7902), 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), _u7901), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7903, _u7900))), _u7902)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7905), _u7906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7906), 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), _u7905), _u7904)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7905), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7907, _u7904))), _u7906))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7909), _u7910)) | 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), _u7910), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7911, _u7908))), _u7909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7910), _u7908))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7913), _u7914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7914), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7915, _u7912))), _u7913))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u7927, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7929, _u7931))) | ( _u7931 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u7927, _u7929)) )).
% 12.21/12.38 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u7927, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7929, _u7931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7916), _u7931)) | ( _u7929 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7931), _u7917)), _u7916)) | hBOOL(hAPP(_u7927, _u7916)) )).
% 12.21/12.38 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u7927, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7929, _u7931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7931), _u7918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7929 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7931), _u7919)), _u7918)) | hBOOL(hAPP(_u7927, _u7918)) )).
% 12.21/12.38 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.38 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7933)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7934, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7935), _u7933)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7935), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7934), _u7935), _u7933))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7934, _u7935))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u7936 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7937, _u7936) != 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), _u7937)), _u7936) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7937), _u7936))) )).
% 12.21/12.38 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u7936 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7937, _u7936) = 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), _u7937)), _u7936) = 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), _u7937), _u7936))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u7938 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7939, _u7938) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7939), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7938)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7939), _u7938))) )).
% 12.21/12.38 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u7938 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7939, _u7938) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7939), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7938)) = 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), _u7939), _u7938))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7940, _u7941), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7942), _u7943))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7944, _u7941), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7945), _u7946))) | ( _u7941 = 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), _u7940), _u7944), _u7941), 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), _u7942), _u7945)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7943), _u7946)), _u7941))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7943), _u7946), _u7941)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), _u7947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7947), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7953 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7951), _u7948)), _u7947)) | hBOOL(hAPP(hAPP(_u7952, _u7948), _u7947)) )).
% 12.21/12.38 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), skolem138(_u7953, _u7952, _u7951))) )).
% 12.21/12.38 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem138(_u7953, _u7952, _u7951)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | ( _u7953 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7951), skolem137(_u7953, _u7952, _u7951))), skolem138(_u7953, _u7952, _u7951))) )).
% 12.21/12.38 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | ~hBOOL(hAPP(hAPP(_u7952, skolem137(_u7953, _u7952, _u7951)), skolem138(_u7953, _u7952, _u7951))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7958)) | ~hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7954), _u7958)) | ( _u7960 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7958), _u7955)), _u7954)) | hBOOL(hAPP(hAPP(_u7959, _u7955), _u7954)) )).
% 12.21/12.38 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)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem140(_u7960, _u7959, _u7958))) )).
% 12.21/12.38 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)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem140(_u7960, _u7959, _u7958)), _u7958)) )).
% 12.21/12.38 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)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | ( _u7960 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7958), skolem139(_u7960, _u7959, _u7958))), skolem140(_u7960, _u7959, _u7958))) )).
% 12.21/12.38 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)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | ~hBOOL(hAPP(hAPP(_u7959, skolem139(_u7960, _u7959, _u7958)), skolem140(_u7960, _u7959, _u7958))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7961, _u7962), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7963), _u7964))) | ( _u7962 = 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), _u7965), _u7961), _u7962), 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), _u7965), _u7963)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7965), _u7964)), _u7962))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7965), _u7964), _u7962)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7968)) | ( c_SMT_Oz3mod(_u7970, _u7968) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7970, _u7968)) )).
% 12.21/12.38 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)), _u7969)) | ( c_SMT_Oz3mod(_u7971, _u7969) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7971, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7969))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 12.21/12.38 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), _u7972), _u7973))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7972), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7973))) )).
% 12.21/12.38 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), _u7972), _u7973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = 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))) | ( _u7972 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 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), _u7972), _u7973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = 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))) | ( _u7973 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.38 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), _u7972), _u7973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7972 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7973 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u7972), _u7973)), 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), _u7972))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7973)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7974), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7975)) | ( c_Divides_OnegDivAlg(_u7974, _u7975) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7974), _u7975)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7974, _u7975))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u7976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7977)) | ( c_Divides_OposDivAlg(_u7976, _u7977) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7976), _u7977)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7976, _u7977))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u7978, _u7979) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7978), _u7979)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7978, _u7979))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7980, _u7981), _u7982)) | ~hBOOL(hAPP(hAPP(_u7981, _u7983), _u7982)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7980, _u7981), _u7983)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7989, _u7991), _u7993)) | ~hBOOL(hAPP(hAPP(_u7991, _u7984), _u7993)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7989, _u7991), _u7984)) )).
% 12.21/12.38 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7990, _u7992), _u7994)) | hBOOL(hAPP(hAPP(_u7992, skolem141(_u7994, _u7992, _u7990)), _u7994)) )).
% 12.21/12.38 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7990, _u7992), _u7994)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7990, _u7992), skolem141(_u7994, _u7992, _u7990))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8000, _u8002), _u8004)) | ~hBOOL(hAPP(hAPP(_u8002, _u7995), _u8004)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8000, _u8002), _u7995)) )).
% 12.21/12.38 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8001, _u8003), _u8005)) | hBOOL(hAPP(hAPP(_u8003, skolem142(_u8005, _u8003, _u8001)), _u8005)) )).
% 12.21/12.38 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8001, _u8003), _u8005)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8001, _u8003), skolem142(_u8005, _u8003, _u8001))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8006), _u8007) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8006, _u8007)), _u8007)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8008), _u8009)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8008, _u8009) = _u8008) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 12.21/12.38 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), _u8010), _u8011)), _u8012) = 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), _u8010), _u8012)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8011), _u8012))), 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, _u8010, _u8012)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8011, _u8012))), _u8012))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.21/12.38 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, _u8013, _u8014)), _u8013)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.38 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, _u8015, _u8016)), _u8017) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8015), _u8017), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8016), _u8017))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8018), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8019, _u8020)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8018), _u8019), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8018), _u8020))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8023, _u8025)) != _u8025) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8023), _u8025) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8024, _u8026)) = _u8026) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8024), _u8026) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8024, _u8026))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8027, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8029, _u8028)), _u8028)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8034, _u8036) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8034 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8036), skolem143(_u8036, _u8034))) )).
% 12.21/12.38 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u8035 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8037), _u8031)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8035, _u8037) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8038), _u8039)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8038, _u8039) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8038), _u8039), _u8039)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8042), _u8044)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8042, _u8044) = _u8042) )).
% 12.21/12.38 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8043), _u8045)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8043, _u8045) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8043), _u8045), _u8045)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.21/12.38 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), _u8046), _u8047)), _u8048), _u8047) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8048, _u8047)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8049, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8050), _u8051)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8050), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8049), _u8050), _u8051))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8049, _u8050))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 12.21/12.38 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), _u8052), _u8053)), _u8054) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8052), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8053), _u8054))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8052), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8053, _u8054))), _u8054))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8055), _u8056)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8056, _u8055) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8056), _u8055), _u8055)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8057, _u8058) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8057), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8057), _u8058)), _u8058))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8059), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8060), _u8059)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8060), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8060, _u8059))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 12.21/12.38 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), _u8061), _u8062)), _u8062) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8061), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8061, _u8062))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8064, _u8063)), _u8063)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.21/12.38 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), _u8065), _u8066)), _u8067)), _u8066) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8067), _u8066)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8068) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8069, tc_fun(_u8069, tc_HOL_Obool))), _u8070), _u8071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8069, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u8069, _u8071)), c_Wellfounded_Oaccp(_u8069, _u8070))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8073), _u8074)) | 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), _u8074), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8075, _u8072))), _u8073)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8074), _u8072))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u8083, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8085, _u8087))) | ( _u8087 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u8083, _u8085)) )).
% 12.21/12.38 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u8083, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8085, _u8087))) | ( _u8087 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8076), _u8087)) | ( _u8085 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8087), _u8077)), _u8076)) | hBOOL(hAPP(_u8083, _u8076)) )).
% 12.21/12.38 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ( _u8088 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem145(_u8088, _u8086, _u8084)), _u8088)) )).
% 12.21/12.38 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ( _u8088 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8086 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8088), skolem144(_u8088, _u8086, _u8084))), skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.38 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ( _u8088 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u8084, skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.38 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | ( _u8088 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem145(_u8088, _u8086, _u8084)), _u8088)) )).
% 12.21/12.38 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | ( _u8086 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8088), skolem144(_u8088, _u8086, _u8084))), skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.38 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | ~hBOOL(hAPP(_u8084, skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8089)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8089), _u8090)), _u8089) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8091), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8092)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8091, _u8092), c_Divides_OnegDivAlg(_u8091, _u8092))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__correct-1, axiom, ( ( _u8093 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8094, _u8093), c_Divides_Odivmod__int(_u8094, _u8093))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8096)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8095, _u8096), c_Divides_OposDivAlg(_u8095, _u8096))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8101)) | ( c_Divides_Odivmod__int(_u8099, _u8101) = c_Divides_OposDivAlg(_u8099, _u8101)) )).
% 12.21/12.38 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)), _u8099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8101)) | ( _u8099 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8099, _u8101) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.38 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)), _u8099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8101)) | ( _u8099 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8099, _u8101) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8099), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8101)))) )).
% 12.21/12.38 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)), _u8100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8102)) | ( c_Divides_Odivmod__int(_u8100, _u8102) = c_Divides_OnegDivAlg(_u8100, _u8102)) )).
% 12.21/12.38 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)), _u8100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8102)) | ( c_Divides_Odivmod__int(_u8100, _u8102) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8100), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8102)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8103), _u8104)) | ( c_Divides_Odivmod__nat(_u8104, _u8103) = 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), _u8104), _u8103)), _u8103))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8104), _u8103), _u8103))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 12.21/12.38 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), _u8107), _u8108))) | hBOOL(hAPP(hAPP(_u8109, _u8107), _u8108)) | 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), skolem146(_u8109, _u8108, _u8107)), skolem147(_u8109, _u8108, _u8107)))) )).
% 12.21/12.38 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), _u8107), _u8108))) | hBOOL(hAPP(hAPP(_u8109, _u8107), _u8108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem147(_u8109, _u8108, _u8107)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8109, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem146(_u8109, _u8108, _u8107))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem147(_u8109, _u8108, _u8107)))) )).
% 12.21/12.38 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), _u8107), _u8108))) | hBOOL(hAPP(hAPP(_u8109, _u8107), _u8108)) | ~hBOOL(hAPP(hAPP(_u8109, skolem146(_u8109, _u8108, _u8107)), skolem147(_u8109, _u8108, _u8107))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8110, _u8111), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8112), _u8113))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8114), _u8110), _u8111), 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), _u8114), _u8112)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8114), _u8113)), _u8111))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8114), _u8113), _u8111)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8115, _u8116), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8117), _u8118))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8116)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8119)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8115, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8116), _u8119)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8117), _u8119)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8116), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8117, _u8119))), _u8118)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8120, _u8121), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8122), _u8123))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8120, _u8121) = _u8123) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u8124, _u8125) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u8124, _u8125))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8126, _u8127), c_Divides_Odivmod__nat(_u8126, _u8127))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8128, _u8129), _u8130)) | ( c_Divides_Odivmod__nat(_u8128, _u8129) = _u8130) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8131, _u8132), _u8133)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8131, _u8132), _u8134)) | ( _u8133 = _u8134) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8135, _u8136), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8135), _u8136)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8135, _u8136)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8137, _u8138), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8139), _u8140))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8137), _u8138) = _u8139) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u8141, 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)), _u8141)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u8142, _u8143) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8142), _u8143)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8142, _u8143))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8144), _u8145)) | ( c_Divides_Odivmod__nat(_u8144, _u8145) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8144)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8146), _u8147)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8146), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8147))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8148), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8149)), _u8150)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8148, _u8149), hAPP(c_Divides_OnegateSnd, _u8150))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8151, _u8152), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8153), _u8154))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8155, _u8152), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8156), _u8157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8152)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8151), _u8155), _u8152), 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), _u8153), _u8156)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8154), _u8157)), _u8152))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8154), _u8157), _u8152)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8159), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8158, _u8159) = 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), _u8158), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8159))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8160), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8161), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8160), _u8161) = 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), _u8160), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8161))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u8166, _u8164) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8166)) | ( _u8164 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u8166, _u8164) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8166), _u8164)) )).
% 12.21/12.38 cnf(fact_divmod__nat__if-3, axiom, ( ( _u8165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8167), _u8165)) | ( c_Divides_Odivmod__nat(_u8167, _u8165) = 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), _u8167), _u8165), _u8165))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8168)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8169), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8168, _u8169) = 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), _u8168), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8169))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8171), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8170), _u8171) = 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), _u8170), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8171))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8172), _u8173) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8172, _u8173))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8174, _u8175) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8174, _u8175))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8177)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8176), _u8177) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8176, _u8177))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8179)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8178, _u8179) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8178, _u8179))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8181)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8180), _u8181) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8180, _u8181))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 12.21/12.38 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)), _u8182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8183)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8182, _u8183) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8182, _u8183))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8184, _u8185)), hAPP(hAPP(c_Product__Type_OPair(_u8184, _u8185), _u8186), _u8187)), _u8188)) | hBOOL(hAPP(hAPP(c_member(_u8189), hAPP(hAPP(_u8190, _u8186), _u8187)), hAPP(c_Set_Oimage(tc_prod(_u8184, _u8185), _u8189, hAPP(c_Product__Type_Oprod_Oprod__case(_u8184, _u8185, _u8189), _u8190)), _u8188))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u8191, _u8192, _u8193, _u8194, _u8195) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8193, hAPP(c_Product__Type_Ofst(_u8191, _u8192), _u8195))), hAPP(_u8194, hAPP(c_Product__Type_Osnd(_u8191, _u8192), _u8195)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8196, _u8197, _u8198), hAPP(c_Fun_Ocomp(_u8199, tc_fun(_u8197, _u8198), _u8196, _u8200), _u8201)), _u8202) = hAPP(hAPP(_u8200, hAPP(_u8201, hAPP(c_Product__Type_Ofst(_u8196, _u8197), _u8202))), hAPP(c_Product__Type_Osnd(_u8196, _u8197), _u8202))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8203, _u8204, _u8205), _u8206), _u8207) = hAPP(hAPP(_u8206, hAPP(c_Product__Type_Ofst(_u8203, _u8204), _u8207)), hAPP(c_Product__Type_Osnd(_u8203, _u8204), _u8207))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u8208, _u8209), _u8209, _u8210), hAPP(hAPP(c_COMBB(_u8211, tc_fun(_u8209, _u8210), tc_prod(_u8208, _u8209)), _u8212), hAPP(hAPP(c_COMBB(_u8208, _u8211, tc_prod(_u8208, _u8209)), _u8213), c_Product__Type_Ofst(_u8208, _u8209)))), c_Product__Type_Osnd(_u8208, _u8209)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8208, _u8209, _u8210), hAPP(hAPP(c_COMBB(_u8211, tc_fun(_u8209, _u8210), _u8208), _u8212), _u8213))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_splitI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8214, _u8215), _u8216)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8217, _u8218, tc_HOL_Obool), _u8214), hAPP(hAPP(c_Product__Type_OPair(_u8217, _u8218), _u8215), _u8216))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8219, _u8220), _u8221)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8222, _u8223, tc_HOL_Obool), _u8219), hAPP(hAPP(c_Product__Type_OPair(_u8222, _u8223), _u8220), _u8221))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8224), _u8225), hAPP(hAPP(_u8226, _u8227), _u8228))) | hBOOL(hAPP(hAPP(c_member(_u8224), _u8225), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8229, _u8230, tc_fun(_u8224, tc_HOL_Obool)), _u8226), hAPP(hAPP(c_Product__Type_OPair(_u8229, _u8230), _u8227), _u8228)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_splitD ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u8233, _u8234), _u8235)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8231, _u8232, tc_HOL_Obool), _u8233), hAPP(hAPP(c_Product__Type_OPair(_u8231, _u8232), _u8234), _u8235))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u8239, _u8240), _u8241), _u8242)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8236, _u8237, tc_fun(_u8238, tc_HOL_Obool)), _u8239), hAPP(hAPP(c_Product__Type_OPair(_u8236, _u8237), _u8240), _u8241)), _u8242)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u8243, _u8244) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8243, _u8243, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u8243, tc_HOL_Obool, tc_fun(_u8243, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8243, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u8243, tc_HOL_Obool)), _u8243), c_COMBC(_u8243, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8243, tc_HOL_Obool), tc_fun(_u8243, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8243), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8243), c_fconj)), c_fequal))), _u8244))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u8245, _u8246), _u8247) = c_HOL_OThe(tc_prod(_u8245, _u8246), hAPP(c_Product__Type_Oprod_Oprod__case(_u8245, _u8246, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8246, tc_prod(_u8245, _u8246)), tc_fun(_u8246, tc_HOL_Obool), _u8245), hAPP(c_COMBB(tc_prod(_u8245, _u8246), tc_HOL_Obool, _u8246), _u8247)), c_Product__Type_OPair(_u8245, _u8246))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u8248, _u8249), hAPP(c_Product__Type_Oprod_Oprod__case(_u8248, _u8249, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u8248, tc_fun(_u8249, tc_HOL_Obool), tc_fun(_u8249, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8249, tc_HOL_Obool), tc_fun(_u8249, tc_HOL_Obool)), _u8248), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8249)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8248), c_fconj), hAPP(c_fequal, _u8250)))), hAPP(c_fequal, _u8251)))) = hAPP(hAPP(c_Product__Type_OPair(_u8248, _u8249), _u8250), _u8251)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u8252, _u8253), tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), tc_fun(_u8252, _u8253)), c_Set_OCollect(tc_prod(_u8252, _u8253))), hAPP(hAPP(c_COMBB(tc_fun(_u8252, tc_fun(_u8253, tc_HOL_Obool)), tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), tc_fun(_u8252, _u8253)), c_Product__Type_Oprod_Oprod__case(_u8252, _u8253, tc_HOL_Obool)), hAPP(c_COMBB(_u8253, tc_fun(_u8253, tc_HOL_Obool), _u8252), hAPP(c_COMBC(_u8253, _u8253, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8252, _u8253), tc_HOL_Obool))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8254), _u8255) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8254, _u8255))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8256, _u8257) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8256, _u8257))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_The__split ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u8258, _u8259), hAPP(c_Product__Type_Oprod_Oprod__case(_u8258, _u8259, tc_HOL_Obool), _u8260)) = c_HOL_OThe(tc_prod(_u8258, _u8259), hAPP(hAPP(c_COMBS(tc_prod(_u8258, _u8259), _u8259, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8258, tc_fun(_u8259, tc_HOL_Obool), tc_prod(_u8258, _u8259)), _u8260), c_Product__Type_Ofst(_u8258, _u8259))), c_Product__Type_Osnd(_u8258, _u8259)))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8264 = 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), _u8268)), _u8266)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8268) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | 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), _u8268))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268)), _u8266)) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8266), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( _u8267 = 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)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( _u8267 = 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8267)) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( _u8267 = 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8267 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != 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)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8267)) )).
% 12.21/12.38 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8272), _u8273) != hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8274), _u8275)) | ( _u8272 = _u8274) )).
% 12.21/12.38 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8272), _u8273) != hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8274), _u8275)) | ( _u8273 = _u8275) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8286), _u8288) != hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8290), _u8292)) | ( _u8286 = _u8290) )).
% 12.21/12.38 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8286), _u8288) != hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8290), _u8292)) | ( _u8288 = _u8292) )).
% 12.21/12.38 cnf(fact_Pair__eq-3, axiom, ( ( _u8287 != _u8291) | ( _u8289 != _u8293) | ( hAPP(hAPP(c_Product__Type_OPair(_u8283, _u8285), _u8287), _u8289) = hAPP(hAPP(c_Product__Type_OPair(_u8283, _u8285), _u8291), _u8293)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u8303, skolem148(_u8307, _u8305, _u8303))) | hBOOL(hAPP(_u8303, hAPP(hAPP(c_Product__Type_OPair(_u8305, _u8307), _u8296), _u8295))) )).
% 12.21/12.38 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u8304, hAPP(hAPP(c_Product__Type_OPair(_u8306, _u8308), skolem149(_u8308, _u8306, _u8304)), skolem150(_u8308, _u8306, _u8304)))) | hBOOL(hAPP(_u8304, _u8299)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__weak__cong-1, axiom, ( ( _u8309 != _u8310) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8311, _u8312, _u8313), _u8314), _u8309) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8311, _u8312, _u8313), _u8314), _u8310)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u8315) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u8315, tc_HOL_Obool), tc_fun(_u8315, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u8315, tc_HOL_Obool), tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u8315, tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8315, tc_HOL_Obool)), c_COMBS(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u8315, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u8315, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u8315, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u8315))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u8316, _u8317) = 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, _u8316))), 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), _u8317)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u8317))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u8317))))), 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)), _u8317)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u8317))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8318, _u8319, _u8320), _u8321), hAPP(hAPP(c_Product__Type_OPair(_u8318, _u8319), _u8322), _u8323)) = hAPP(hAPP(_u8321, _u8322), _u8323)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8324, _u8325, _u8326), _u8327), hAPP(hAPP(c_Product__Type_OPair(_u8324, _u8325), _u8328), _u8329)) = hAPP(hAPP(_u8327, _u8328), _u8329)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_fst__eqD-1, axiom, ( ( _u8332 = _u8334) | ( hAPP(c_Product__Type_Ofst(_u8330, _u8331), hAPP(hAPP(c_Product__Type_OPair(_u8330, _u8331), _u8332), _u8333)) != _u8334) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8335, _u8336), hAPP(hAPP(c_Product__Type_OPair(_u8335, _u8336), _u8337), _u8338)) = _u8337) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_snd__eqD-1, axiom, ( ( _u8342 = _u8343) | ( hAPP(c_Product__Type_Osnd(_u8339, _u8340), hAPP(hAPP(c_Product__Type_OPair(_u8339, _u8340), _u8341), _u8342)) != _u8343) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8344, _u8345), hAPP(hAPP(c_Product__Type_OPair(_u8344, _u8345), _u8346), _u8347)) = _u8347) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8348, _u8349), _u8350) != hAPP(c_Product__Type_Ofst(_u8348, _u8349), _u8351)) | ( hAPP(c_Product__Type_Osnd(_u8348, _u8349), _u8350) != hAPP(c_Product__Type_Osnd(_u8348, _u8349), _u8351)) | ( _u8350 = _u8351) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u8356 != _u8358) | ( hAPP(c_Product__Type_Ofst(_u8360, _u8362), _u8356) = hAPP(c_Product__Type_Ofst(_u8360, _u8362), _u8358)) )).
% 12.21/12.38 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u8356 != _u8358) | ( hAPP(c_Product__Type_Osnd(_u8360, _u8362), _u8356) = hAPP(c_Product__Type_Osnd(_u8360, _u8362), _u8358)) )).
% 12.21/12.38 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8361, _u8363), _u8357) != hAPP(c_Product__Type_Ofst(_u8361, _u8363), _u8359)) | ( hAPP(c_Product__Type_Osnd(_u8361, _u8363), _u8357) != hAPP(c_Product__Type_Osnd(_u8361, _u8363), _u8359)) | ( _u8357 = _u8359) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u8364, _u8365, _u8366), hAPP(hAPP(c_COMBB(tc_fun(_u8365, tc_prod(_u8364, _u8365)), tc_fun(_u8365, _u8366), _u8364), hAPP(c_COMBB(tc_prod(_u8364, _u8365), _u8366, _u8365), _u8367)), c_Product__Type_OPair(_u8364, _u8365))) = _u8367) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8368, _u8369), _u8370) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8368, _u8369, _u8368), c_COMBK(_u8368, _u8369)), _u8370)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8371, _u8372), _u8373) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8371, _u8372, _u8372), hAPP(c_COMBK(tc_fun(_u8372, _u8372), _u8371), c_COMBI(_u8372))), _u8373)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u8374, _u8375), tc_prod(_u8375, _u8374), hAPP(c_Product__Type_Oprod_Oprod__case(_u8374, _u8375, tc_prod(_u8375, _u8374)), hAPP(c_COMBC(_u8375, _u8374, tc_prod(_u8375, _u8374)), c_Product__Type_OPair(_u8375, _u8374))), _u8376) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8377, _u8378, _u8379), _u8380), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8381, _u8382, tc_prod(_u8377, _u8378)), _u8383), _u8384)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8381, _u8382, _u8379), hAPP(hAPP(c_COMBB(tc_fun(_u8382, tc_prod(_u8377, _u8378)), tc_fun(_u8382, _u8379), _u8381), hAPP(c_COMBB(tc_prod(_u8377, _u8378), _u8379, _u8382), hAPP(c_Product__Type_Oprod_Oprod__case(_u8377, _u8378, _u8379), _u8380))), _u8383)), _u8384)) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8385, _u8386), hAPP(c_Product__Type_Ofst(_u8385, _u8386), _u8387)), hAPP(c_Product__Type_Osnd(_u8385, _u8386), _u8387)) = _u8387) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_surjective__pairing-1, axiom, ( ( _u8388 = hAPP(hAPP(c_Product__Type_OPair(_u8389, _u8390), hAPP(c_Product__Type_Ofst(_u8389, _u8390), _u8388)), hAPP(c_Product__Type_Osnd(_u8389, _u8390), _u8388))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8391, _u8392, _u8393), _u8394), _u8395) = hAPP(hAPP(_u8394, hAPP(c_Product__Type_Ofst(_u8391, _u8392), _u8395)), hAPP(c_Product__Type_Osnd(_u8391, _u8392), _u8395))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8396, _u8397, _u8398), _u8399), _u8400) = hAPP(hAPP(_u8399, hAPP(c_Product__Type_Ofst(_u8396, _u8397), _u8400)), hAPP(c_Product__Type_Osnd(_u8396, _u8397), _u8400))) )).
% 12.21/12.38
% 12.21/12.38 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 12.21/12.38 cnf(fact_Nitpick_OFrac__def-1, axiom, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8401, _u8402), _u8403)) | hBOOL(hAPP(hAPP(_u8401, hAPP(c_Product__Type_Osnd(_u8404, _u8405), hAPP(hAPP(c_Product__Type_OPair(_u8404, _u8405), _u8403), _u8402))), hAPP(c_Product__Type_Ofst(_u8404, _u8405), hAPP(hAPP(c_Product__Type_OPair(_u8404, _u8405), _u8403), _u8402)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u8406, _u8407)) | ~hBOOL(hAPP(_u8408, _u8409)) | hBOOL(hAPP(_u8406, hAPP(c_Product__Type_Ofst(_u8410, _u8411), hAPP(hAPP(c_Product__Type_OPair(_u8410, _u8411), _u8407), _u8409)))) )).
% 12.21/12.39 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u8406, _u8407)) | ~hBOOL(hAPP(_u8408, _u8409)) | hBOOL(hAPP(_u8408, hAPP(c_Product__Type_Osnd(_u8410, _u8411), hAPP(hAPP(c_Product__Type_OPair(_u8410, _u8411), _u8407), _u8409)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u8412) = 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), _u8412)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u8413) = 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), _u8413)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u8414, _u8415, _u8416, _u8417) = hAPP(c_Set_OCollect(tc_prod(_u8414, _u8415)), hAPP(c_Product__Type_Oprod_Oprod__case(_u8414, _u8415, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u8414, tc_fun(_u8415, tc_HOL_Obool), tc_fun(_u8415, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8415, tc_HOL_Obool), tc_fun(_u8415, tc_HOL_Obool)), _u8414), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8415)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8414), c_fconj), hAPP(hAPP(c_COMBC(_u8414, tc_fun(_u8414, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8414)), _u8416)))), hAPP(hAPP(c_COMBC(_u8415, tc_fun(_u8415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8415)), _u8417))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8418)), 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), _u8418)) = 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), _u8418)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8419)), 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), _u8419)) = 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), _u8419)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u8420, _u8421), _u8422), _u8423) = hAPP(c_Set_OCollect(tc_prod(_u8421, _u8421)), hAPP(c_Product__Type_Oprod_Oprod__case(_u8421, _u8421, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u8421, tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_fun(_u8421, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8421, tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_fun(_u8421, tc_HOL_Obool)), _u8421), c_COMBC(_u8421, tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8421, tc_prod(_u8420, _u8420)), tc_fun(_u8421, tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool)), _u8421), hAPP(c_COMBB(tc_prod(_u8420, _u8420), tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool), _u8421), c_member(tc_prod(_u8420, _u8420)))), hAPP(hAPP(c_COMBC(_u8421, tc_fun(_u8421, _u8420), tc_fun(_u8421, tc_prod(_u8420, _u8420))), hAPP(hAPP(c_COMBB(tc_fun(_u8420, tc_prod(_u8420, _u8420)), tc_fun(tc_fun(_u8421, _u8420), tc_fun(_u8421, tc_prod(_u8420, _u8420))), _u8421), c_COMBB(_u8420, tc_prod(_u8420, _u8420), _u8421)), hAPP(hAPP(c_COMBB(_u8420, tc_fun(_u8420, tc_prod(_u8420, _u8420)), _u8421), c_Product__Type_OPair(_u8420, _u8420)), _u8423))), _u8423)))), _u8422)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u8424, _u8425, _u8426, _u8427, hAPP(hAPP(c_Product__Type_OPair(_u8424, _u8425), _u8428), _u8429)) = hAPP(hAPP(_u8427, _u8428), _u8429)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8432)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8432), _u8434)) )).
% 12.21/12.39 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8433), _u8435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8433)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8435))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8438)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8438), _u8440)) )).
% 12.21/12.39 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8439), _u8441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8439)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8441))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8442)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8443)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8442), _u8443))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8444) = _u8444) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u8445) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446) != _u8447) | ( _u8447 = hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446)) )).
% 12.21/12.39 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u8445) | ( _u8447 != hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446) = _u8447) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8448) | ~class_Int_Oring__char__0(_u8448) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8449) != hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8450)) | ( _u8449 = _u8450) )).
% 12.21/12.39 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u8448) | ~class_Int_Oring__char__0(_u8448) | ( _u8449 != _u8450) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8449) = hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8450)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8451)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8452)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8451), _u8452))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8453)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8453))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u8454) | ~class_Orderings_Olinorder(_u8454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455))) )).
% 12.21/12.39 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u8454) | ~class_Orderings_Olinorder(_u8454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u8457) | ~class_Rings_Osemiring(_u8457) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8457), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8457), _u8458), _u8459)), hAPP(c_Int_Onumber__class_Onumber__of(_u8457), _u8460)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8457), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8457), _u8458), hAPP(c_Int_Onumber__class_Onumber__of(_u8457), _u8460))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8457), _u8459), hAPP(c_Int_Onumber__class_Onumber__of(_u8457), _u8460)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u8461) | ~class_Rings_Osemiring(_u8461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8461), hAPP(c_Int_Onumber__class_Onumber__of(_u8461), _u8462)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8461), _u8463), _u8464)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8461), hAPP(c_Int_Onumber__class_Onumber__of(_u8461), _u8462)), _u8463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8461), hAPP(c_Int_Onumber__class_Onumber__of(_u8461), _u8462)), _u8464))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u8465) | ~class_Rings_Oring(_u8465) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8465), hAPP(c_Int_Onumber__class_Onumber__of(_u8465), _u8466)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8465), _u8467), _u8468)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8465), hAPP(c_Int_Onumber__class_Onumber__of(_u8465), _u8466)), _u8467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8465), hAPP(c_Int_Onumber__class_Onumber__of(_u8465), _u8466)), _u8468))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u8469) | ~class_Rings_Oring(_u8469) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8469), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8469), _u8470), _u8471)), hAPP(c_Int_Onumber__class_Onumber__of(_u8469), _u8472)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8469), _u8470), hAPP(c_Int_Onumber__class_Onumber__of(_u8469), _u8472))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8469), _u8471), hAPP(c_Int_Onumber__class_Onumber__of(_u8469), _u8472)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8473) | ~class_Rings_Olinordered__idom(_u8473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8473), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8474)), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8474), _u8475)) )).
% 12.21/12.39 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u8473) | ~class_Rings_Olinordered__idom(_u8473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8474), _u8475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8473), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8474)), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8475))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8476) | ~class_Rings_Olinordered__idom(_u8476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8476), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8477)), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8477), _u8478)) )).
% 12.21/12.39 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u8476) | ~class_Rings_Olinordered__idom(_u8476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8477), _u8478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8476), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8477)), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8478))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u8479) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8479), hAPP(c_Int_Onumber__class_Onumber__of(_u8479), _u8480)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8479), hAPP(c_Int_Onumber__class_Onumber__of(_u8479), _u8481)), _u8482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8479), hAPP(c_Int_Onumber__class_Onumber__of(_u8479), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8480), _u8481))), _u8482)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u8483) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8483), hAPP(c_Int_Onumber__class_Onumber__of(_u8483), _u8484)), hAPP(c_Int_Onumber__class_Onumber__of(_u8483), _u8485)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8484), _u8485))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u8486) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8487), _u8488)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8486), hAPP(c_Int_Onumber__class_Onumber__of(_u8486), _u8487)), hAPP(c_Int_Onumber__class_Onumber__of(_u8486), _u8488))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u8489) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8489), hAPP(c_Int_Onumber__class_Onumber__of(_u8489), _u8490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8489), hAPP(c_Int_Onumber__class_Onumber__of(_u8489), _u8491)), _u8492)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8489), hAPP(c_Int_Onumber__class_Onumber__of(_u8489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8490), _u8491))), _u8492)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u8493) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8493), hAPP(c_Int_Onumber__class_Onumber__of(_u8493), _u8494)), hAPP(c_Int_Onumber__class_Onumber__of(_u8493), _u8495)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8494), _u8495))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u8496) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8497), _u8498)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8496), hAPP(c_Int_Onumber__class_Onumber__of(_u8496), _u8497)), hAPP(c_Int_Onumber__class_Onumber__of(_u8496), _u8498))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u8499) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8499), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8500), _u8501)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8499), hAPP(c_Int_Onumber__class_Onumber__of(_u8499), _u8500)), hAPP(c_Int_Onumber__class_Onumber__of(_u8499), _u8501))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u8502) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8502), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8503)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8502), hAPP(c_Int_Onumber__class_Onumber__of(_u8502), _u8503))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u8504) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8504), hAPP(c_Int_Onumber__class_Onumber__of(_u8504), _u8505)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8504), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8505))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8506) | hBOOL(hAPP(hAPP(c_member(_u8506), hAPP(c_Int_Onumber__class_Onumber__of(_u8506), _u8507)), c_Int_Oring__1__class_OInts(_u8506))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u8508) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8508), hAPP(c_Int_Onumber__class_Onumber__of(_u8508), _u8509)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8508), hAPP(c_Int_Onumber__class_Onumber__of(_u8508), _u8510)), _u8511)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8508), hAPP(c_Int_Onumber__class_Onumber__of(_u8508), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8509), _u8510))), _u8511)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u8512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8512), hAPP(c_Groups_Ouminus__class_Ouminus(_u8512), hAPP(c_Int_Onumber__class_Onumber__of(_u8512), _u8513))), _u8514) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8512), hAPP(c_Int_Onumber__class_Onumber__of(_u8512), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8513))), _u8514)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u8515) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8515), hAPP(c_Int_Onumber__class_Onumber__of(_u8515), _u8516)), hAPP(c_Int_Onumber__class_Onumber__of(_u8515), _u8517)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8516), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8517)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8519)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8518), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8519)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8532, _u8532)), hAPP(hAPP(c_Product__Type_OPair(_u8532, _u8532), hAPP(_u8536, _u8528)), hAPP(_u8536, _u8530))), _u8534)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8526, _u8526)), hAPP(hAPP(c_Product__Type_OPair(_u8526, _u8526), _u8528), _u8530)), hAPP(hAPP(c_Relation_Oinv__image(_u8532, _u8526), _u8534), _u8536))) )).
% 12.21/12.39 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8533, _u8533)), hAPP(hAPP(c_Product__Type_OPair(_u8533, _u8533), hAPP(_u8537, _u8529)), hAPP(_u8537, _u8531))), _u8535)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8527, _u8527)), hAPP(hAPP(c_Product__Type_OPair(_u8527, _u8527), _u8529), _u8531)), hAPP(hAPP(c_Relation_Oinv__image(_u8533, _u8527), _u8535), _u8537))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u8538) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8538), hAPP(c_Int_Onumber__class_Onumber__of(_u8538), _u8539)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8538), _u8540), hAPP(c_Int_Onumber__class_Onumber__of(_u8538), _u8541))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8538), hAPP(c_Int_Onumber__class_Onumber__of(_u8538), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8539), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8541)))), _u8540)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8542))) | ( 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), _u8542)) = 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), _u8542)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8543))) | ( 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), _u8543)) = 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), _u8543)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u8544, _u8545) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool)), c_COMBS(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(_u8545, _u8544)), c_Product__Type_OPair(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), c_Relation_Oinv__image(_u8544, _u8545))))), c_Relation_Oinv__image(_u8544, _u8545)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_lfp__induct2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_lfp__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8548, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8548, _u8549), _u8550), _u8551)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552) | hBOOL(hAPP(hAPP(_u8553, _u8550), _u8551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8548, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8548, _u8549), skolem151(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548)), skolem152(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548))), hAPP(_u8552, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552)), hAPP(c_Set_OCollect(tc_prod(_u8548, _u8549)), hAPP(c_Product__Type_Oprod_Oprod__case(_u8548, _u8549, tc_HOL_Obool), _u8553)))))) )).
% 12.21/12.39 cnf(fact_lfp__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8548, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8548, _u8549), _u8550), _u8551)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552) | hBOOL(hAPP(hAPP(_u8553, _u8550), _u8551)) | ~hBOOL(hAPP(hAPP(_u8553, skolem151(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548)), skolem152(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u8554) | ~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), _u8555))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8555))) = hAPP(hAPP(c_HOL_OLet(_u8554, _u8554), hAPP(hAPP(c_Power_Opower__class_Opower(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8555))), hAPP(hAPP(c_COMBS(_u8554, _u8554, _u8554), hAPP(hAPP(c_COMBB(_u8554, tc_fun(_u8554, _u8554), _u8554), c_Groups_Otimes__class_Otimes(_u8554)), hAPP(c_Groups_Otimes__class_Otimes(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)))), c_COMBI(_u8554)))) )).
% 12.21/12.39 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u8554) | 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), _u8555))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8555))) = c_Groups_Oone__class_Oone(_u8554)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u8557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8558), _u8559)) | ( hAPP(_u8560, _u8561) = c_Groups_Ozero__class_Ozero(_u8557)) | ~hBOOL(hAPP(hAPP(c_member(_u8558), _u8561), _u8559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8558, tc_HOL_Obool)), _u8559), hAPP(hAPP(c_Set_Oinsert(_u8558), _u8561), c_Orderings_Obot__class_Obot(tc_fun(_u8558, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8557), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), _u8559)), hAPP(_u8560, _u8561))) )).
% 12.21/12.39 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u8557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8558), _u8559)) | ( hAPP(_u8560, _u8561) = c_Groups_Ozero__class_Ozero(_u8557)) | hBOOL(hAPP(hAPP(c_member(_u8558), _u8561), _u8559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8558, tc_HOL_Obool)), _u8559), hAPP(hAPP(c_Set_Oinsert(_u8558), _u8561), c_Orderings_Obot__class_Obot(tc_fun(_u8558, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), _u8559)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8562), _u8563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8564), _u8565)) | 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), _u8562), _u8564)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8563), _u8565))), c_FunDef_Opair__less)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8568)), c_Int_OBit1(_u8570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8568), _u8570)) )).
% 12.21/12.39 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8569), _u8571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8569)), c_Int_OBit1(_u8571))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u8574)), c_Int_OBit1(_u8576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8574), _u8576)) )).
% 12.21/12.39 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8575), _u8577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8575)), c_Int_OBit1(_u8577))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8580)), c_Int_OBit1(_u8582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8580), _u8582)) )).
% 12.21/12.39 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8581), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8581)), c_Int_OBit1(_u8583))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8586)), c_Int_OBit1(_u8588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8586), _u8588)) )).
% 12.21/12.39 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8587), _u8589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8587)), c_Int_OBit1(_u8589))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u8590) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8590), c_Groups_Ozero__class_Ozero(_u8590)), _u8591) = c_Groups_Ozero__class_Ozero(_u8590)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u8592) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8592), _u8593), c_Groups_Ozero__class_Ozero(_u8592)) = c_Groups_Ozero__class_Ozero(_u8592)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u8594) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8594), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8594), _u8595), _u8596)), _u8597) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8594), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8594), _u8595), _u8597)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8594), _u8596), _u8597))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u8598) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8598), _u8599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8598), _u8600), _u8601)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8598), _u8599), _u8600)), _u8601)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u8604) != c_Int_OBit1(_u8606)) | ( _u8604 = _u8606) )).
% 12.21/12.39 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u8605 != _u8607) | ( c_Int_OBit1(_u8605) = c_Int_OBit1(_u8607)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8608) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8608), _u8609), _u8610)), _u8611) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8608), hAPP(hAPP(c_Power_Opower__class_Opower(_u8608), _u8609), _u8611)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8608), _u8610), _u8611))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u8612) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8612), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8612), _u8613), _u8614)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8612), hAPP(c_Groups_Ouminus__class_Ouminus(_u8612), _u8613)), _u8614)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u8615) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8615), _u8616), c_Groups_Oone__class_Oone(_u8615)) = _u8616) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u8617) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8617), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8617), _u8618), _u8619)), _u8620) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8617), _u8618), _u8620)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8617), _u8619), _u8620))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u8621) | ( _u8622 = c_Groups_Ozero__class_Ozero(_u8621)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8621), _u8623), _u8622) != _u8624) | ( _u8623 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8621), _u8624), _u8622)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u8625) | ( _u8626 = c_Groups_Ozero__class_Ozero(_u8625)) | ( _u8627 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8625), _u8628), _u8626)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8625), _u8627), _u8626) = _u8628) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u8629) | ( _u8630 = c_Groups_Ozero__class_Ozero(_u8629)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8629), _u8631), _u8630) != _u8632) | ( _u8631 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8629), _u8632), _u8630)) )).
% 12.21/12.39 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u8629) | ( _u8630 = c_Groups_Ozero__class_Ozero(_u8629)) | ( _u8631 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8629), _u8632), _u8630)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8629), _u8631), _u8630) = _u8632) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u8633) | ( _u8634 = c_Groups_Ozero__class_Ozero(_u8633)) | ( _u8635 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8633), _u8636), _u8634)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8633), _u8635), _u8634) = _u8636) )).
% 12.21/12.39 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u8633) | ( _u8634 = c_Groups_Ozero__class_Ozero(_u8633)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8633), _u8635), _u8634) != _u8636) | ( _u8635 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8633), _u8636), _u8634)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u8637) | ( _u8638 = c_Groups_Ozero__class_Ozero(_u8637)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8637), _u8639), _u8638) != c_Groups_Oone__class_Oone(_u8637)) | ( _u8639 = _u8638) )).
% 12.21/12.39 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u8637) | ( _u8638 = c_Groups_Ozero__class_Ozero(_u8637)) | ( _u8639 != _u8638) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8637), _u8639), _u8638) = c_Groups_Oone__class_Oone(_u8637)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u8640) | ( _u8641 = c_Groups_Ozero__class_Ozero(_u8640)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8640), _u8641), _u8641) = c_Groups_Oone__class_Oone(_u8640)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u8642) | ( _u8643 != c_Groups_Ozero__class_Ozero(_u8642)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8642), _u8643), _u8643) = c_Groups_Ozero__class_Ozero(_u8642)) )).
% 12.21/12.39 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u8642) | ( _u8643 = c_Groups_Ozero__class_Ozero(_u8642)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8642), _u8643), _u8643) = c_Groups_Oone__class_Oone(_u8642)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u8644) | ( _u8645 = c_Groups_Ozero__class_Ozero(_u8644)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8644), hAPP(c_Groups_Ouminus__class_Ouminus(_u8644), _u8646)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8644), _u8645)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8644), _u8646), _u8645)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u8647) | ( _u8648 = c_Groups_Ozero__class_Ozero(_u8647)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8647), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8647), _u8649), _u8648)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8647), _u8649), hAPP(c_Groups_Ouminus__class_Ouminus(_u8647), _u8648))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u8650) | ( _u8651 = c_Groups_Ozero__class_Ozero(_u8650)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8650), _u8652), _u8651)), _u8653) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8650), hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), _u8652), _u8653)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), _u8651), _u8653))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8654) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8654), c_Groups_Oone__class_Oone(_u8654)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8654), _u8655), _u8656)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8654), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8654), c_Groups_Oone__class_Oone(_u8654)), _u8655)), _u8656)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8658)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8658), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8659), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8659)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u8660) = 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)), _u8660)), _u8660)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8662), _u8663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8662, _u8661), hAPP(hAPP(c_COMBS(_u8662, _u8661, _u8661), hAPP(hAPP(c_COMBB(_u8661, tc_fun(_u8661, _u8661), _u8662), c_Rings_Oinverse__class_Odivide(_u8661)), _u8664)), _u8665)), _u8663) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8661), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8662, _u8661), _u8664), _u8663)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8662, _u8661), _u8665), _u8663))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) = c_Groups_Ozero__class_Ozero(_u8666)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8666), _u8667), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669)) = _u8668) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) != c_Groups_Ozero__class_Ozero(_u8666)) | ( _u8667 = c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) != c_Groups_Ozero__class_Ozero(_u8666)) | ( _u8667 != c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8666), _u8667), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669)) != _u8668) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) = c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8666), _u8667), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669)) != _u8668) | ( _u8667 != c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( _u8673 = c_Groups_Ozero__class_Ozero(_u8670)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8670), hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671)), _u8673) = _u8672) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( _u8673 != c_Groups_Ozero__class_Ozero(_u8670)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( _u8673 != c_Groups_Ozero__class_Ozero(_u8670)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8670), hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671)), _u8673) != _u8672) | ( _u8673 = c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8670), hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671)), _u8673) != _u8672) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) != hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8676 = c_Groups_Ozero__class_Ozero(_u8674)) | ( _u8675 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8674), hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)), _u8676)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) != hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8676 != c_Groups_Ozero__class_Ozero(_u8674)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677) = c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) = hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8676 != c_Groups_Ozero__class_Ozero(_u8674)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677) != c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) = hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8675 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8674), hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)), _u8676)) | ( _u8676 = c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) = hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8675 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8674), hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)), _u8676)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677) != c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) != _u8681) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) = c_Groups_Ozero__class_Ozero(_u8678)) | ( _u8679 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8678), _u8681), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680))) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) != _u8681) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) != c_Groups_Ozero__class_Ozero(_u8678)) | ( _u8681 = c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) = _u8681) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) != c_Groups_Ozero__class_Ozero(_u8678)) | ( _u8681 != c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) = _u8681) | ( _u8679 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8678), _u8681), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) = c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) = _u8681) | ( _u8679 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8678), _u8681), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680))) | ( _u8681 != c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u8682) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8682), c_Int_OBit1(_u8683)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8682), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8682), c_Groups_Oone__class_Oone(_u8682)), hAPP(c_Int_Onumber__class_Onumber__of(_u8682), _u8683))), hAPP(c_Int_Onumber__class_Onumber__of(_u8682), _u8683))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u8684) | ~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), _u8685))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8684), _u8686), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8685))) = hAPP(hAPP(c_HOL_OLet(_u8684, _u8684), hAPP(hAPP(c_Power_Opower__class_Opower(_u8684), _u8686), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8685))), hAPP(hAPP(c_COMBS(_u8684, _u8684, _u8684), hAPP(hAPP(c_COMBB(_u8684, tc_fun(_u8684, _u8684), _u8684), c_Groups_Otimes__class_Otimes(_u8684)), hAPP(c_Groups_Otimes__class_Otimes(_u8684), _u8686))), c_COMBI(_u8684)))) )).
% 12.21/12.39 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u8684) | 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), _u8685))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8684), _u8686), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8685))) = c_Groups_Oone__class_Oone(_u8684)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8689))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8691), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8689))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8691), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8689))), 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), _u8691))), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.39 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), _u8690))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8692), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8690))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 12.21/12.39 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u8709) | ( _u8710 = c_Groups_Ozero__class_Ozero(_u8709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8711), _u8712)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8709), _u8710), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8712), _u8711)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), hAPP(hAPP(c_Power_Opower__class_Opower(_u8709), _u8710), _u8712)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8709), _u8710), _u8711))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8713), _u8714)) | 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), _u8713), _u8715)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8714), _u8716))), c_FunDef_Opair__less)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) )).
% 12.21/12.39 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8733))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8733) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8733)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), _u8736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8737), c_Groups_Ozero__class_Ozero(_u8734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8737), _u8735)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8737), _u8736))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8738), _u8739), _u8740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8738), c_Groups_Ozero__class_Ozero(_u8738)), _u8741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8738), c_Groups_Ozero__class_Ozero(_u8738)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8738), _u8740), _u8739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8738), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8738), _u8741), _u8740)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8738), _u8741), _u8739))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8742), _u8743), c_Groups_Ozero__class_Ozero(_u8742))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8742), _u8744), _u8743)), _u8745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8742), _u8745), _u8743)), _u8744)) )).
% 12.21/12.39 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8742), _u8743), c_Groups_Ozero__class_Ozero(_u8742))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8742), _u8745), _u8743)), _u8744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8742), _u8744), _u8743)), _u8745)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8746), _u8747), c_Groups_Ozero__class_Ozero(_u8746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8748), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8746), _u8749), _u8747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8746), _u8748), _u8747))) )).
% 12.21/12.39 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8746), _u8747), c_Groups_Ozero__class_Ozero(_u8746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8746), _u8748), _u8747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8748), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8746), _u8749), _u8747))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8750), c_Groups_Ozero__class_Ozero(_u8750)), _u8751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8750), _u8752), _u8751)), _u8753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8750), _u8752), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8750), _u8753), _u8751))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8754), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), _u8755), _u8756)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), _u8757), _u8758)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8754), _u8755), _u8757)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8754), _u8756), _u8758))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8759) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8759), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8759), _u8760), _u8761)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8759), _u8760), hAPP(c_Groups_Ouminus__class_Ouminus(_u8759), _u8761))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8762) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8762), hAPP(c_Groups_Ouminus__class_Ouminus(_u8762), _u8763)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8762), _u8764)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8762), _u8763), _u8764)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8765), _u8766), _u8767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8765), _u8768), c_Groups_Ozero__class_Ozero(_u8765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8765), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8765), _u8767), _u8768)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8765), _u8766), _u8768))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8769), _u8770), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8769), c_Groups_Ozero__class_Ozero(_u8769)), _u8772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8769), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8769), _u8770), _u8772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8769), _u8771), _u8772))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8774), c_Groups_Ozero__class_Ozero(_u8773))) )).
% 12.21/12.39 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8775)) )).
% 12.21/12.39 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8775), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8774), c_Groups_Ozero__class_Ozero(_u8773))) )).
% 12.21/12.39 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8775), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8775)) )).
% 12.21/12.39 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8775), c_Groups_Ozero__class_Ozero(_u8773))) )).
% 12.21/12.39 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8774), c_Groups_Ozero__class_Ozero(_u8773))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8775)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_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), _u8777), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.39 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_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), _u8778), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.39 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), _u8778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8777), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.39 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), _u8778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8778), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.39 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_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), c_Groups_Ozero__class_Ozero(_u8776)), _u8778)) )).
% 12.21/12.39 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8777), c_Groups_Ozero__class_Ozero(_u8776))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8778), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8780), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.39 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8781), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.39 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8780), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.39 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8781), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.39 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8781)) )).
% 12.21/12.39 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8780), c_Groups_Ozero__class_Ozero(_u8779))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8781), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8783), c_Groups_Ozero__class_Ozero(_u8782))) )).
% 12.21/12.39 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8784)) )).
% 12.21/12.39 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8784), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8783), c_Groups_Ozero__class_Ozero(_u8782))) )).
% 12.21/12.39 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8784), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8784)) )).
% 12.21/12.39 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8784), c_Groups_Ozero__class_Ozero(_u8782))) )).
% 12.21/12.39 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8783), c_Groups_Ozero__class_Ozero(_u8782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8784)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8785), c_Groups_Ozero__class_Ozero(_u8785)), _u8786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8785), c_Groups_Ozero__class_Ozero(_u8785)), _u8787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8785), c_Groups_Ozero__class_Ozero(_u8785)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8785), _u8786), _u8787))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8788), c_Groups_Ozero__class_Ozero(_u8788)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8788), _u8790), c_Groups_Ozero__class_Ozero(_u8788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8788), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8788), _u8789), _u8790)), c_Groups_Ozero__class_Ozero(_u8788))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8791), _u8792), c_Groups_Ozero__class_Ozero(_u8791))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8791), c_Groups_Ozero__class_Ozero(_u8791)), _u8793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8791), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8791), _u8792), _u8793)), c_Groups_Ozero__class_Ozero(_u8791))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), _u8795), c_Groups_Ozero__class_Ozero(_u8794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), _u8796), c_Groups_Ozero__class_Ozero(_u8794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), c_Groups_Ozero__class_Ozero(_u8794)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8794), _u8795), _u8796))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8797), _u8798), _u8799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8797), c_Groups_Ozero__class_Ozero(_u8797)), _u8800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8797), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8797), _u8798), _u8800)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8797), _u8799), _u8800))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8801), _u8802), _u8803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8801), _u8804), c_Groups_Ozero__class_Ozero(_u8801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8801), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8801), _u8803), _u8804)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8801), _u8802), _u8804))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u8805) | ( _u8806 = c_Groups_Ozero__class_Ozero(_u8805)) | ( _u8807 = c_Groups_Ozero__class_Ozero(_u8805)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8808), _u8806) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8809), _u8807)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8808), _u8807) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8809), _u8806)) )).
% 12.21/12.39 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u8805) | ( _u8806 = c_Groups_Ozero__class_Ozero(_u8805)) | ( _u8807 = c_Groups_Ozero__class_Ozero(_u8805)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8808), _u8807) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8809), _u8806)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8808), _u8806) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8809), _u8807)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8810) | ( _u8811 = c_Groups_Ozero__class_Ozero(_u8810)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8810), _u8811), _u8812)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8810), _u8811), _u8813)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8810), _u8812), _u8813)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8814) | ( _u8815 = c_Groups_Ozero__class_Ozero(_u8814)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8816), _u8815)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8817), _u8815)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) != _u8821) | ( _u8820 = c_Groups_Ozero__class_Ozero(_u8818)) | ( _u8819 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) != _u8821) | ( _u8820 != c_Groups_Ozero__class_Ozero(_u8818)) | ( _u8821 = c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) = _u8821) | ( _u8820 != c_Groups_Ozero__class_Ozero(_u8818)) | ( _u8821 != c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) = _u8821) | ( _u8819 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)) | ( _u8820 = c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.39 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) = _u8821) | ( _u8819 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)) | ( _u8821 != c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( _u8825 = c_Groups_Ozero__class_Ozero(_u8822)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8823), _u8825) = _u8824) )).
% 12.21/12.39 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( _u8825 != c_Groups_Ozero__class_Ozero(_u8822)) | ( _u8823 = c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( _u8825 != c_Groups_Ozero__class_Ozero(_u8822)) | ( _u8823 != c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8823), _u8825) != _u8824) | ( _u8825 = c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.39 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8823), _u8825) != _u8824) | ( _u8823 != c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8826), _u8827), c_Groups_Ozero__class_Ozero(_u8826))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), _u8828), c_Groups_Ozero__class_Ozero(_u8826))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8826), _u8827), _u8828))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8829), _u8830), c_Groups_Ozero__class_Ozero(_u8829))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8829), c_Groups_Ozero__class_Ozero(_u8829)), _u8831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8829), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8829), _u8830), _u8831)), c_Groups_Ozero__class_Ozero(_u8829))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u8832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), c_Groups_Ozero__class_Ozero(_u8832)), _u8833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), _u8833), _u8834)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8832), c_Groups_Ozero__class_Ozero(_u8832)), _u8835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), _u8835), _u8836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8832), _u8833), _u8836)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8832), _u8834), _u8835))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u8837) | ~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(_u8837), _u8838), _u8839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8837), c_Groups_Ozero__class_Ozero(_u8837)), _u8840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8837), _u8840), _u8841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8837), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8837), _u8838), _u8841)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8837), _u8839), _u8840))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u8842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), c_Groups_Ozero__class_Ozero(_u8842)), _u8843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8842), _u8843), _u8844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), c_Groups_Ozero__class_Ozero(_u8842)), _u8845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), _u8845), _u8846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8843), _u8846)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8844), _u8845))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8847), c_Groups_Ozero__class_Ozero(_u8847)), _u8848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8847), _u8849), c_Groups_Ozero__class_Ozero(_u8847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8847), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8847), _u8848), _u8849)), c_Groups_Ozero__class_Ozero(_u8847))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), _u8851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), _u8852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8850), _u8851), _u8852))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) )).
% 12.21/12.39 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) )).
% 12.21/12.39 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) )).
% 12.21/12.39 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) )).
% 12.21/12.39 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.39 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.39 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) )).
% 12.21/12.39 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.39 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) )).
% 12.21/12.39 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.39 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) )).
% 12.21/12.39 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), c_Groups_Ozero__class_Ozero(_u8861)), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), _u8863), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8861), _u8864), _u8862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8861), _u8863), _u8862)), _u8864)) )).
% 12.21/12.39 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), c_Groups_Ozero__class_Ozero(_u8861)), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8861), _u8863), _u8862)), _u8864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), _u8863), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8861), _u8864), _u8862))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), c_Groups_Ozero__class_Ozero(_u8865)), _u8866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8865), _u8867), _u8866)), _u8868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), _u8867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8865), _u8868), _u8866))) )).
% 12.21/12.39 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), c_Groups_Ozero__class_Ozero(_u8865)), _u8866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), _u8867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8865), _u8868), _u8866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8865), _u8867), _u8866)), _u8868)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u8869) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8869), c_Groups_Ozero__class_Ozero(_u8869)), _u8870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8869), _u8871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8869), _u8872), _u8870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8869), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8869), _u8871), _u8870)), _u8872)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_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), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8873), _u8875), _u8874)), _u8876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), _u8875), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8873), _u8876), _u8874))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8878), c_Groups_Ozero__class_Ozero(_u8877))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8877), _u8880), _u8878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8880), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8877), _u8879), _u8878))) )).
% 12.21/12.39 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8878), c_Groups_Ozero__class_Ozero(_u8877))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8880), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8877), _u8879), _u8878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8877), _u8880), _u8878))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), _u8882), c_Groups_Ozero__class_Ozero(_u8881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8881), _u8883), _u8882)), _u8884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8881), _u8884), _u8882)), _u8883)) )).
% 12.21/12.39 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), _u8882), c_Groups_Ozero__class_Ozero(_u8881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8881), _u8884), _u8882)), _u8883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8881), _u8883), _u8882)), _u8884)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), _u8886), _u8887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), c_Groups_Ozero__class_Ozero(_u8885)), _u8888)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), c_Groups_Ozero__class_Ozero(_u8885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8885), _u8887), _u8886))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8885), _u8888), _u8887)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8885), _u8888), _u8886))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), _u8890), _u8891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), _u8892), c_Groups_Ozero__class_Ozero(_u8889))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), c_Groups_Ozero__class_Ozero(_u8889)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8889), _u8890), _u8891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8889), _u8892), _u8890)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8889), _u8892), _u8891))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u8893) | ( _u8894 = c_Groups_Ozero__class_Ozero(_u8893)) | ( _u8895 = c_Groups_Ozero__class_Ozero(_u8893)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8893), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8893), _u8896), _u8894)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8893), _u8897), _u8895)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8893), _u8896), _u8895)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8893), _u8897), _u8894))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8893), _u8894), _u8895))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8898) | ( _u8899 = c_Groups_Ozero__class_Ozero(_u8898)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8898), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8898), _u8900), _u8899)), _u8901) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8898), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8898), _u8900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8898), _u8899), _u8901))), _u8899)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8902) | ( _u8903 = c_Groups_Ozero__class_Ozero(_u8902)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8902), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8902), _u8904), _u8903)), _u8905) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8902), _u8904), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8902), _u8905), _u8903))), _u8903)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8906) | ( _u8907 = c_Groups_Ozero__class_Ozero(_u8906)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8906), _u8908), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8906), _u8909), _u8907)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8906), _u8907), _u8908)), _u8909)), _u8907)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8910) | ( _u8911 = c_Groups_Ozero__class_Ozero(_u8910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8910), _u8912), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8910), _u8913), _u8911)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8910), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8910), _u8913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8910), _u8912), _u8911))), _u8911)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u8914) | ( _u8915 = c_Groups_Ozero__class_Ozero(_u8914)) | ( _u8916 = c_Groups_Ozero__class_Ozero(_u8914)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8914), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8914), _u8917), _u8915)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8914), _u8918), _u8916)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8914), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8914), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8914), _u8917), _u8916)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8914), _u8918), _u8915))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8914), _u8915), _u8916))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8919) | ( _u8920 = c_Groups_Ozero__class_Ozero(_u8919)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8919), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8919), _u8921), _u8920)), _u8922) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8919), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8919), _u8921), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8919), _u8920), _u8922))), _u8920)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8923) | ( _u8924 = c_Groups_Ozero__class_Ozero(_u8923)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8923), _u8925), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8923), _u8926), _u8924)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8923), _u8924), _u8925)), _u8926)), _u8924)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u8927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8927), _u8928), _u8929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8927), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8927), _u8928), _u8929)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8927), c_Groups_Oone__class_Oone(_u8927)), c_Groups_Oone__class_Oone(_u8927)))), _u8929)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u8930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8930), _u8931), _u8932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8930), _u8931), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8930), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8930), _u8931), _u8932)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8930), c_Groups_Oone__class_Oone(_u8930)), c_Groups_Oone__class_Oone(_u8930))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) )).
% 12.21/12.39 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) )).
% 12.21/12.39 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) )).
% 12.21/12.39 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) )).
% 12.21/12.39 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.39 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.39 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) )).
% 12.21/12.39 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.39 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) )).
% 12.21/12.39 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.39 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) )).
% 12.21/12.39 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8941), c_Groups_Ozero__class_Ozero(_u8941)), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), _u8943), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8941), _u8944), _u8942))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8941), _u8943), _u8942)), _u8944)) )).
% 12.21/12.39 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8941), c_Groups_Ozero__class_Ozero(_u8941)), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8941), _u8943), _u8942)), _u8944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), _u8943), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8941), _u8944), _u8942))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8945), c_Groups_Ozero__class_Ozero(_u8945)), _u8946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8945), _u8947), _u8946)), _u8948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), _u8947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8945), _u8948), _u8946))) )).
% 12.21/12.39 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8945), c_Groups_Ozero__class_Ozero(_u8945)), _u8946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), _u8947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8945), _u8948), _u8946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8945), _u8947), _u8946)), _u8948)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u8949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8949), c_Groups_Ozero__class_Ozero(_u8949)), _u8950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8949), _u8951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8949), _u8952), _u8950))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8949), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8949), _u8951), _u8950)), _u8952)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8953), _u8954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8955), _u8956)) | 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), _u8953), _u8955)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8954), _u8956))), c_FunDef_Opair__leq)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8957), _u8958)) | ~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)), _u8957), _u8959)), 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)), _u8958), _u8960)), 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)), _u8958), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8959), _u8960))), c_FunDef_Omin__strict)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8961), _u8962)) | ~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)), _u8963), _u8961)), 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)), _u8964), _u8962)), 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)), _u8963), _u8964)), _u8962)), c_FunDef_Omax__strict)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8965), _u8966)) | 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), _u8965), _u8967)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8966), _u8968))), c_FunDef_Opair__leq)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u8970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8972)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8973)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8972)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8973))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)))) | hBOOL(hAPP(hAPP(c_member(_u8971), skolem153(_u8974, _u8973, _u8972, _u8971, _u8970)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973))) )).
% 12.21/12.39 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u8970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8972)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8973)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8972)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8973))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)))) | ( hAPP(_u8974, skolem153(_u8974, _u8973, _u8972, _u8971, _u8970)) = c_Groups_Ozero__class_Ozero(_u8970)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8975)) | ( _u8975 = 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))), _u8975)), c_FunDef_Omax__strict)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_smin__emptyI-1, axiom, ( ( _u8976 = 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)), _u8976), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_max__strict__def-1, axiom, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8977), _u8978)) | ~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)), _u8979), _u8977)), 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)), _u8980), _u8978)), 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)), _u8979), _u8980)), _u8978)), c_FunDef_Omax__weak)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8981), _u8982)) | ~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)), _u8981), _u8983)), 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)), _u8982), _u8984)), 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)), _u8982), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8983), _u8984))), c_FunDef_Omin__weak)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_max__weak__def-1, axiom, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8986))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8986)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8987))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8987)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8987)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8988)) | 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))), _u8988)), c_FunDef_Omax__weak)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8990)) )).
% 12.21/12.39 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)), _u8991)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8991)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8993), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8994), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8994)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 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(_u8996)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8996))) )).
% 12.21/12.39 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8997))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8997)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 12.21/12.39 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), _u8998))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8998) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9001) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9003)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9003)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9001) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9003)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9003))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9001) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9003)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9003))) | ( _u9001 = _u9003) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) | ( _u9002 != _u9004) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9002 != _u9004) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) | ( _u9002 != _u9004) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) )).
% 12.21/12.39 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9002 != _u9004) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9008))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9008)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9010)), _u9012)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9010)), _u9012)) )).
% 12.21/12.39 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), _u9009))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9011))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9009)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9011)), _u9013)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9009)), _u9013)) )).
% 12.21/12.39 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), _u9009))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9011))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9009)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9011)), _u9013)) = 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), _u9009), _u9011))), _u9013)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9014), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__weak__def-1, axiom, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9017))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9017)), _u9019)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9019)) )).
% 12.21/12.39 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), _u9018))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9018)), _u9020)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9018))), _u9020)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9022))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9022)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9023))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9023)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9023))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9025))) | ( 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), _u9025)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39 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), _u9026))) | ( 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), _u9026)) = 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), _u9026)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__0-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__nat__nat__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9028)) | ( hAPP(c_Int_Onat, _u9027) != hAPP(c_Int_Onat, _u9028)) | ( _u9027 = _u9028) )).
% 12.21/12.39 cnf(fact_eq__nat__nat__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9028)) | ( _u9027 != _u9028) | ( hAPP(c_Int_Onat, _u9027) = hAPP(c_Int_Onat, _u9028)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9030)) | ( hAPP(c_Int_Onat, _u9029) != hAPP(c_Int_Onat, _u9030)) | ( _u9029 = _u9030) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__relations_I1_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9030)) | ( _u9029 != _u9030) | ( hAPP(c_Int_Onat, _u9029) = hAPP(c_Int_Onat, _u9030)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u9036, skolem154(_u9036))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9032)) | hBOOL(hAPP(_u9036, hAPP(c_Int_Onat, _u9032))) )).
% 12.21/12.39 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u9037, _u9034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem155(_u9037))) )).
% 12.21/12.39 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u9037, _u9034)) | ~hBOOL(hAPP(_u9037, hAPP(c_Int_Onat, skolem155(_u9037)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u9043, _u9038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem156(_u9043))) )).
% 12.21/12.39 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u9043, _u9038)) | hBOOL(hAPP(_u9043, hAPP(c_Int_Onat, skolem156(_u9043)))) )).
% 12.21/12.39 cnf(fact_ex__nat-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9040)) | ~hBOOL(hAPP(_u9044, hAPP(c_Int_Onat, _u9040))) | hBOOL(hAPP(_u9044, skolem157(_u9044))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9045) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9045))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9046)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9046)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9047)) | ( hAPP(c_Int_Onat, _u9047) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u9048) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u9050) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9050), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9051), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u9051) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9054)), hAPP(c_Int_Onat, _u9056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9056)) )).
% 12.21/12.39 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9054)), hAPP(c_Int_Onat, _u9056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9054), _u9056)) )).
% 12.21/12.39 cnf(fact_zless__nat__conj-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9055), _u9057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9055)), hAPP(c_Int_Onat, _u9057))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__mono__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9059)), hAPP(c_Int_Onat, _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9059), _u9058)) )).
% 12.21/12.39 cnf(fact_nat__mono__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9059), _u9058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9059)), hAPP(c_Int_Onat, _u9058))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__relations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9060)), hAPP(c_Int_Onat, _u9061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9060), _u9061)) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9060), _u9061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9060)), hAPP(c_Int_Onat, _u9061))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__1-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u9062) = 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), _u9062), c_Int_Onat))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u9063) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9063), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__less__nat__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u9065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9065)) )).
% 12.21/12.39 cnf(fact_zero__less__nat__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u9066))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__less__eq__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9067)), hAPP(c_Int_Onat, _u9068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9067), _u9068)) )).
% 12.21/12.39 cnf(fact_nat__less__eq__zless-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9067), _u9068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9067)), hAPP(c_Int_Onat, _u9068))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9069)), hAPP(c_Int_Onat, _u9070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9069), _u9070)) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9069), _u9070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9069)), hAPP(c_Int_Onat, _u9070))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__le__eq__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) )).
% 12.21/12.39 cnf(fact_nat__le__eq__zle-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) )).
% 12.21/12.39 cnf(fact_nat__le__eq__zle-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) )).
% 12.21/12.39 cnf(fact_nat__le__eq__zle-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__add__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9074)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9073), _u9074)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9073)), hAPP(c_Int_Onat, _u9074))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9076)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9075)), hAPP(c_Int_Onat, _u9076)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9075), _u9076))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__mult__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9077)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9077), _u9078)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u9077)), hAPP(c_Int_Onat, _u9078))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9080)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u9079)), hAPP(c_Int_Onat, _u9080)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9079), _u9080))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9081)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9081), _u9082)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9082), _u9081)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9082)), hAPP(c_Int_Onat, _u9081))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9084)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9083, _u9084)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9083), hAPP(c_Int_Onat, _u9084))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9086)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9085), hAPP(c_Int_Onat, _u9086)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9085, _u9086))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__div__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9087)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9087), _u9088)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9087)), hAPP(c_Int_Onat, _u9088))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Divides_Otransfer__nat__int__functions_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9090)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9089)), hAPP(c_Int_Onat, _u9090)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9089), _u9090))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9091)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9091)), _u9092) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9091), _u9092))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__power__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9093)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9093), _u9094)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9093)), _u9094)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9096)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9095)), hAPP(c_Int_Onat, _u9096)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u9095, _u9096))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9099)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9101)), hAPP(c_Int_Onat, _u9099)) = hAPP(c_Int_Onat, _u9101)) )).
% 12.21/12.39 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9100)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9102)), hAPP(c_Int_Onat, _u9100)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9102), _u9100)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_one__less__nat__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onat, _u9104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9104)) )).
% 12.21/12.39 cnf(fact_one__less__nat__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9105)) | 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, _u9105))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Suc__nat__eq__nat__zadd1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9106)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u9106)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9106))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u9107) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9107), c_Int_Osucc(_u9108)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9107), c_Groups_Oone__class_Oone(_u9107)), hAPP(c_Int_Onumber__class_Onumber__of(_u9107), _u9108))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9109), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9109), _u9110)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9109))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9110)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u9111, _u9112) | c_FunDef_Oreduction__pair(_u9113, hAPP(hAPP(c_FunDef_Orp__inv__image(_u9111, _u9113), _u9112), _u9114)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9117))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9117), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9119)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9118))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9120))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9120)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9118)) )).
% 12.21/12.39 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9118))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9120))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9120)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9120)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9123))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9123)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9125)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9124))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9124)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9126)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9124)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9126)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9129))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9129)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9131)) = 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), _u9131))) )).
% 12.21/12.39 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), _u9130))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9130)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9132)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9130)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9132)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9135))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9135)), _u9137) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9137)) )).
% 12.21/12.39 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9136))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9136)), _u9138) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9136)), _u9138))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9139)) = 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), _u9139)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__strict__def-1, axiom, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_max__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u9140, _u9141) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9140)), _u9141)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9144), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9146)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9144)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9146)) )).
% 12.21/12.39 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9145), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9147)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9145)) = 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), _u9147), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9145)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__morphism__nat__int-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9150)), hAPP(c_Nat_OSuc, _u9152))) | 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(_u9150))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9152)))) )).
% 12.21/12.39 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(_u9151))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9153)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9151)), hAPP(c_Nat_OSuc, _u9153))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9156)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9158))) | 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(_u9158))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9156)), c_Int_Onat))))) )).
% 12.21/12.39 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(_u9159))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9157)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9157)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9159))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9160), c_Int_OPls) = _u9160) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I19_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u9161) = c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9162), c_Int_OPls) = _u9162) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u9163) = _u9163) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u9164) != c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u9165)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u9166)) = _u9166) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u9167) | ( c_Groups_Ozero__class_Ozero(_u9167) = hAPP(c_Int_Onumber__class_Onumber__of(_u9167), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u9168) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9168), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u9168)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u9169) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9169), hAPP(c_Int_Onumber__class_Onumber__of(_u9169), c_Int_OPls)), _u9170) = _u9170) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u9171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9171), _u9172), hAPP(c_Int_Onumber__class_Onumber__of(_u9171), c_Int_OPls)) = _u9172) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__Pls-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9174)) )).
% 12.21/12.39 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9175))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9177)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9177), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9178), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9178)), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9179)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9180)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9179)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9180), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u9179)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__neg__number__of__Pls-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9183), _u9185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u9183)), _u9185)) )).
% 12.21/12.39 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u9184)), _u9186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9184), _u9186)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u9187)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9187)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u9188) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9188), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9190), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9190)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9191), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u9191))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u9192) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9192), _u9193), hAPP(c_Int_Onumber__class_Onumber__of(_u9192), c_Int_OBit1(c_Int_OPls))) = _u9193) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u9194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9194), hAPP(c_Int_Onumber__class_Onumber__of(_u9194), c_Int_OBit1(c_Int_OPls))), _u9195) = _u9195) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9196) | ~class_Int_Onumber__ring(_u9196) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9196), _u9197), hAPP(c_Int_Onumber__class_Onumber__of(_u9196), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u9196)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u9198) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9198), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u9198)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u9199) | ( c_Groups_Oone__class_Oone(_u9199) = hAPP(c_Int_Onumber__class_Onumber__of(_u9199), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9201), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9202), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9202)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9204) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9204), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9205), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9205) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9207)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9207), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9208), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9208)), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9210)) )).
% 12.21/12.39 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9211))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9214), _u9216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9216)) )).
% 12.21/12.39 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), _u9214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9214), _u9216)) )).
% 12.21/12.39 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), _u9215)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9217))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9215), _u9217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9217)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u9218) | ~class_Int_Onumber__ring(_u9218) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9218), _u9219), hAPP(c_Int_Onumber__class_Onumber__of(_u9218), c_Int_OBit1(c_Int_OPls))) = _u9219) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u9220) | ~class_Int_Onumber__ring(_u9220) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9220), _u9221), hAPP(c_Int_Onumber__class_Onumber__of(_u9220), c_Int_OBit1(c_Int_OPls))) = _u9221) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9224), _u9226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9224), c_Int_OPls)) )).
% 12.21/12.39 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), _u9225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9225), _u9227)) )).
% 12.21/12.39 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), _u9225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9225), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u9228) | ~class_Rings_Olinordered__idom(_u9228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9228), c_Groups_Ozero__class_Ozero(_u9228)), hAPP(c_Int_Onumber__class_Onumber__of(_u9228), _u9229))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9229)) )).
% 12.21/12.39 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u9228) | ~class_Rings_Olinordered__idom(_u9228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9228), c_Groups_Ozero__class_Ozero(_u9228)), hAPP(c_Int_Onumber__class_Onumber__of(_u9228), _u9229))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u9230) | ~class_Rings_Olinordered__idom(_u9230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(c_Int_Onumber__class_Onumber__of(_u9230), _u9231)), c_Groups_Ozero__class_Ozero(_u9230))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9231), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u9230) | ~class_Rings_Olinordered__idom(_u9230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9231), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(c_Int_Onumber__class_Onumber__of(_u9230), _u9231)), c_Groups_Ozero__class_Ozero(_u9230))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u9232) | ~class_Rings_Olinordered__idom(_u9232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9232), c_Groups_Ozero__class_Ozero(_u9232)), hAPP(c_Int_Onumber__class_Onumber__of(_u9232), _u9233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9233)) )).
% 12.21/12.39 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u9232) | ~class_Rings_Olinordered__idom(_u9232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9232), c_Groups_Ozero__class_Ozero(_u9232)), hAPP(c_Int_Onumber__class_Onumber__of(_u9232), _u9233))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u9234) | ~class_Rings_Olinordered__idom(_u9234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9234), hAPP(c_Int_Onumber__class_Onumber__of(_u9234), _u9235)), c_Groups_Ozero__class_Ozero(_u9234))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9235), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u9234) | ~class_Rings_Olinordered__idom(_u9234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9235), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9234), hAPP(c_Int_Onumber__class_Onumber__of(_u9234), _u9235)), c_Groups_Ozero__class_Ozero(_u9234))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9237)) )).
% 12.21/12.39 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9238)) | 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), _u9238))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_numeral__1__eq__Suc__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_numeral__3__eq__3-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u9239) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9239), _u9240), 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(_u9239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9239), _u9240), _u9240)), _u9240)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9241))) = 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)))), _u9241)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9244), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9244)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9246)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9246)) )).
% 12.21/12.39 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9245), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9247), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9245)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9247)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9245)) )).
% 12.21/12.39 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9245), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9247), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9245)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9247)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9245), _u9247))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u9248) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9248), c_Int_Opred(_u9249)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9248), hAPP(c_Groups_Ouminus__class_Ouminus(_u9248), c_Groups_Oone__class_Oone(_u9248))), hAPP(c_Int_Onumber__class_Onumber__of(_u9248), _u9249))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u9250) | ~class_Rings_Olinordered__idom(_u9250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9250), c_Groups_Oone__class_Oone(_u9250)), hAPP(c_Int_Onumber__class_Onumber__of(_u9250), _u9251))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9251)) )).
% 12.21/12.39 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u9250) | ~class_Rings_Olinordered__idom(_u9250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9250), c_Groups_Oone__class_Oone(_u9250)), hAPP(c_Int_Onumber__class_Onumber__of(_u9250), _u9251))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u9252) | ~class_Rings_Olinordered__idom(_u9252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9252), hAPP(c_Int_Onumber__class_Onumber__of(_u9252), _u9253)), c_Groups_Oone__class_Oone(_u9252))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9253), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u9252) | ~class_Rings_Olinordered__idom(_u9252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9253), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9252), hAPP(c_Int_Onumber__class_Onumber__of(_u9252), _u9253)), c_Groups_Oone__class_Oone(_u9252))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u9254) | ~class_Rings_Olinordered__idom(_u9254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9254), c_Groups_Oone__class_Oone(_u9254)), hAPP(c_Int_Onumber__class_Onumber__of(_u9254), _u9255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9255)) )).
% 12.21/12.39 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u9254) | ~class_Rings_Olinordered__idom(_u9254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9254), c_Groups_Oone__class_Oone(_u9254)), hAPP(c_Int_Onumber__class_Onumber__of(_u9254), _u9255))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u9256) | ~class_Rings_Olinordered__idom(_u9256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9256), hAPP(c_Int_Onumber__class_Onumber__of(_u9256), _u9257)), c_Groups_Oone__class_Oone(_u9256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9257), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u9256) | ~class_Rings_Olinordered__idom(_u9256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9257), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9256), hAPP(c_Int_Onumber__class_Onumber__of(_u9256), _u9257)), c_Groups_Oone__class_Oone(_u9256))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u9258) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9258), c_Groups_Oone__class_Oone(_u9258)), hAPP(c_Int_Onumber__class_Onumber__of(_u9258), _u9259)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9258), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9259))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u9260) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9260), hAPP(c_Int_Onumber__class_Onumber__of(_u9260), _u9261)), c_Groups_Oone__class_Oone(_u9260)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9261), c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9262)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9263)), _u9262) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9263), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9266), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9266)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9268)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9267), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9267)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9269)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9267), _u9269))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9273), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9275)), _u9277)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9274), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9276)), _u9278)) = 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), _u9274), _u9276))), _u9278)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9280)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9280) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9281) != 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(_u9281)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9282))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9283)) = 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)))), _u9282), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9283))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9284))), _u9285) = 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)))), _u9284), _u9285)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9286, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9287)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9286, 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)))), _u9287))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9288)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9289)) = 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)))), _u9288)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9289))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9290)))), _u9291) = 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)))), _u9290)), _u9291)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9292), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9293)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9292), 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)))), _u9293))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9295), 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), _u9295)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9296), 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), _u9296)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9296))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9298), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9298)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9299), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9299)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9299))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u9300) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9300), hAPP(c_Int_Onumber__class_Onumber__of(_u9300), _u9301)), c_Groups_Oone__class_Oone(_u9300)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9300), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u9302) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9302), c_Groups_Oone__class_Oone(_u9302)), hAPP(c_Int_Onumber__class_Onumber__of(_u9302), _u9303)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9302), 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), _u9303)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u9306) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9308)) | 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(_u9308))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9306))))) )).
% 12.21/12.39 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(_u9309))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9307))))) | ( hAPP(c_Nat_OSuc, _u9307) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9309)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9312) != hAPP(c_Nat_OSuc, _u9314)) | 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(_u9312))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9314))))) )).
% 12.21/12.39 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(_u9313))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9315))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9313) = hAPP(c_Nat_OSuc, _u9315)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9318)), hAPP(c_Nat_OSuc, _u9320))) | 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(_u9318))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9320)))) )).
% 12.21/12.39 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(_u9319))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9321)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9319)), hAPP(c_Nat_OSuc, _u9321))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9324)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9326))) | 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(_u9326))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9324)), c_Int_Onat))))) )).
% 12.21/12.39 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(_u9327))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9325)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9325)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9327))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u9328, _u9329, _u9330, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9331)), _u9332)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9328), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9331))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9328, _u9328), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9328, tc_fun(_u9328, _u9328)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9328, tc_fun(_u9328, _u9328)), tc_Int_Oint), c_If(_u9328)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u9328, _u9329, _u9330, _u9332))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9328, tc_Int_Oint), _u9330), 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)), _u9332))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u9333, _u9334, _u9335, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9336)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9333), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9336))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9333, _u9333), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9333, tc_fun(_u9333, _u9333)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9333, tc_fun(_u9333, _u9333)), tc_Int_Oint), c_If(_u9333)), c_Nat__Numeral_Oneg)), _u9334)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9333, tc_Int_Oint), _u9335), c_Int_Onat)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9337, _u9338, _u9339), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9340)), _u9341)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9337), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9340))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9337, _u9337), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9337, tc_fun(_u9337, _u9337)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9337, tc_fun(_u9337, _u9337)), tc_Int_Oint), c_If(_u9337)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u9337, _u9338, _u9339), _u9341))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9337, _u9337), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u9337, _u9337), tc_Int_Oint), _u9339), 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)), _u9341))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9337, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u9337, _u9338, _u9339)), 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)), _u9341)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9342, _u9343, _u9344), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9343) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9345, _u9346, _u9347), hAPP(c_Nat_OSuc, _u9348)) = hAPP(hAPP(_u9347, _u9348), hAPP(c_Nat_Onat_Onat__rec(_u9345, _u9346, _u9347), _u9348))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u9349, _u9350, _u9351, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9350) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u9352, _u9353, _u9354, hAPP(c_Nat_OSuc, _u9355)) = hAPP(_u9354, _u9355)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9358)), _u9360)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9358), _u9360)) )).
% 12.21/12.39 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), _u9359), _u9361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9359)), _u9361)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9362), hAPP(c_Nat_OSuc, _u9363)) = 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), _u9362), _u9363))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9364, _u9365, _u9366), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9367)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9364), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9367))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9364, _u9364), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9364, tc_fun(_u9364, _u9364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9364, tc_fun(_u9364, _u9364)), tc_Int_Oint), c_If(_u9364)), c_Nat__Numeral_Oneg)), _u9365)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9364, _u9364), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u9364, _u9364), tc_Int_Oint), _u9366), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9364, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u9364, _u9365, _u9366)), c_Int_Onat))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u9368) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9368), _u9369) != c_Groups_Oone__class_Oone(_u9368)) | c_Int_Oiszero(_u9368, hAPP(c_Int_Onumber__class_Onumber__of(_u9368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9369), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u9368) | ~c_Int_Oiszero(_u9368, hAPP(c_Int_Onumber__class_Onumber__of(_u9368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9369), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9368), _u9369) = c_Groups_Oone__class_Oone(_u9368)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u9370) | ( c_Groups_Oone__class_Oone(_u9370) != hAPP(c_Int_Onumber__class_Onumber__of(_u9370), _u9371)) | c_Int_Oiszero(_u9370, hAPP(c_Int_Onumber__class_Onumber__of(_u9370), 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), _u9371)))) )).
% 12.21/12.39 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u9370) | ~c_Int_Oiszero(_u9370, hAPP(c_Int_Onumber__class_Onumber__of(_u9370), 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), _u9371)))) | ( c_Groups_Oone__class_Oone(_u9370) = hAPP(c_Int_Onumber__class_Onumber__of(_u9370), _u9371)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9372), 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)))), _u9373)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9372)) = 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), _u9373), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9372))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9376))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9378)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9376))) = 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), _u9378), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9376)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39 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), _u9377))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9379)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9377))) = 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), _u9379)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9377)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u9380) | ~class_Int_Oring__char__0(_u9380) | ~c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), c_Int_OBit0(_u9381))) | c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), _u9381)) )).
% 12.21/12.39 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u9380) | ~class_Int_Oring__char__0(_u9380) | ~c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), _u9381)) | c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), c_Int_OBit0(_u9381))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u9382) != c_Int_OBit0(_u9383)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u9384) != c_Int_OBit1(_u9385)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u9386)), c_Int_OBit0(_u9387)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9386), _u9387))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u9388)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9388))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u9389)), _u9390) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9389), _u9390))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9393)), c_Int_OBit0(_u9395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9393), _u9395)) )).
% 12.21/12.39 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9394), _u9396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9394)), c_Int_OBit0(_u9396))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9399)), c_Int_OBit0(_u9401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9399), _u9401)) )).
% 12.21/12.39 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9400), _u9402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9400)), c_Int_OBit0(_u9402))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9405)), c_Int_OBit0(_u9407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9405), _u9407)) )).
% 12.21/12.39 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), _u9408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9406)), c_Int_OBit0(_u9408))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9411)), c_Int_OBit0(_u9413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9411), _u9413)) )).
% 12.21/12.39 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9412), _u9414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9412)), c_Int_OBit0(_u9414))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u9417) != c_Int_OBit0(_u9419)) | ( _u9417 = _u9419) )).
% 12.21/12.39 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u9418 != _u9420) | ( c_Int_OBit0(_u9418) = c_Int_OBit0(_u9420)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u9421)), c_Int_OBit0(_u9422)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9421), _u9422))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u9423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9423), _u9423)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u9425) != c_Int_OPls) | ( _u9425 = c_Int_OPls) )).
% 12.21/12.39 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u9426 != c_Int_OPls) | ( c_Int_OBit0(_u9426) = c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u9428)) | ( c_Int_OPls = _u9428) )).
% 12.21/12.39 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u9429) | ( c_Int_OPls = c_Int_OBit0(_u9429)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u9430) | ~c_Int_Oiszero(_u9430, _u9431) | ( _u9431 = c_Groups_Ozero__class_Ozero(_u9430)) )).
% 12.21/12.39 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u9430) | ( _u9431 != c_Groups_Ozero__class_Ozero(_u9430)) | c_Int_Oiszero(_u9430, _u9431) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u9432) | c_Int_Oiszero(_u9432, c_Groups_Ozero__class_Ozero(_u9432)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u9433) | ~c_Int_Oiszero(_u9433, c_Groups_Oone__class_Oone(_u9433)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9435)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9435), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9436), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9436)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9438)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9438), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9439), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9439)), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9441)) )).
% 12.21/12.39 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9442))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9445)), c_Int_OBit1(_u9447))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9445), _u9447)) )).
% 12.21/12.39 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9446), _u9448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9446)), c_Int_OBit1(_u9448))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9451)), c_Int_OBit1(_u9453))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9451), _u9453)) )).
% 12.21/12.39 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9452), _u9454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9452)), c_Int_OBit1(_u9454))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9456))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9456)) )).
% 12.21/12.39 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9457))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9459)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9459), c_Int_OPls)) )).
% 12.21/12.39 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9460), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9460)), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9463)), c_Int_OBit0(_u9465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9463), _u9465)) )).
% 12.21/12.39 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9464), _u9466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9464)), c_Int_OBit0(_u9466))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9469)), c_Int_OBit0(_u9471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9469), _u9471)) )).
% 12.21/12.39 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9470), _u9472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9470)), c_Int_OBit0(_u9472))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u9473)), c_Int_OBit0(_u9474)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9473), _u9474))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u9475)), c_Int_OBit1(_u9476)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9475), _u9476))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9477)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u9477))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u9478)), c_Int_OBit1(_u9479)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9478), _u9479))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u9480)), c_Int_OBit0(_u9481)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9480), _u9481))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9482))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9483))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9482)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9483))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9485)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9485))) )).
% 12.21/12.39 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9486))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9486)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u9487)) = c_Int_OBit1(c_Int_Opred(_u9487))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u9488)) = c_Int_OBit0(_u9488)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u9489)) = c_Int_OBit0(c_Int_Osucc(_u9489))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u9490)) = c_Int_OBit1(_u9490)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9491)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9491)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u9492) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9492), c_Int_OBit0(_u9493)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9492), c_Groups_Ozero__class_Ozero(_u9492)), hAPP(c_Int_Onumber__class_Onumber__of(_u9492), _u9493))), hAPP(c_Int_Onumber__class_Onumber__of(_u9492), _u9493))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9496)), c_Int_OBit0(_u9498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9496), _u9498)) )).
% 12.21/12.39 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9497), _u9499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9497)), c_Int_OBit0(_u9499))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9502)), c_Int_OBit0(_u9504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9502), _u9504)) )).
% 12.21/12.39 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9503), _u9505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9503)), c_Int_OBit0(_u9505))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9508)), c_Int_OBit1(_u9510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9508), _u9510)) )).
% 12.21/12.39 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9509), _u9511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9509)), c_Int_OBit1(_u9511))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9514)), c_Int_OBit1(_u9516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9514), _u9516)) )).
% 12.21/12.39 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9515), _u9517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9515)), c_Int_OBit1(_u9517))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_card__UNIV__bool-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u9518)), _u9519) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9518), _u9519))), _u9519)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u9520)), c_Int_OBit1(_u9521)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u9520)), _u9521))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u9522)), c_Int_OBit1(_u9523)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9522), c_Int_Osucc(_u9523)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u9524) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9526))) = hAPP(hAPP(c_HOL_OLet(_u9524, _u9524), hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9526))), hAPP(hAPP(c_COMBS(_u9524, _u9524, _u9524), c_Groups_Otimes__class_Otimes(_u9524)), c_COMBI(_u9524)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9527), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9528))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9527), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9528))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u9529) | c_Int_Oiszero(_u9529, hAPP(c_Int_Onumber__class_Onumber__of(_u9529), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u9530) | ~class_Int_Oring__char__0(_u9530) | ~c_Int_Oiszero(_u9530, hAPP(c_Int_Onumber__class_Onumber__of(_u9530), c_Int_OBit1(_u9531))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u9532) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9532), c_Groups_Oone__class_Oone(_u9532)), c_Groups_Oone__class_Oone(_u9532))), hAPP(c_Int_Onumber__class_Onumber__of(_u9532), _u9533)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9532), c_Int_OBit0(_u9533))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9534))) | 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(_u9534)))) )).
% 12.21/12.39 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), _u9534))) | 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(_u9534)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9535) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9535), hAPP(c_Int_Onumber__class_Onumber__of(_u9535), _u9536)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9537))) = hAPP(hAPP(c_HOL_OLet(_u9535, _u9535), hAPP(hAPP(c_Power_Opower__class_Opower(_u9535), hAPP(c_Int_Onumber__class_Onumber__of(_u9535), _u9536)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9537))), hAPP(hAPP(c_COMBS(_u9535, _u9535, _u9535), c_Groups_Otimes__class_Otimes(_u9535)), c_COMBI(_u9535)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u9538) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9538), hAPP(c_Int_Onumber__class_Onumber__of(_u9538), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9539) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9538), _u9539), _u9539)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u9540) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9540), _u9541), hAPP(c_Int_Onumber__class_Onumber__of(_u9540), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9540), _u9541), _u9541)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u9542) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9542), c_Groups_Oone__class_Oone(_u9542)), c_Groups_Oone__class_Oone(_u9542)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9542), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u9543) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9543), _u9544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u9543)) | ( _u9544 = c_Groups_Ozero__class_Ozero(_u9543)) )).
% 12.21/12.39 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u9543) | ( _u9544 != c_Groups_Ozero__class_Ozero(_u9543)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9543), _u9544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u9543)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u9545) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9545), c_Groups_Ozero__class_Ozero(_u9545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u9545)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_semiring__norm_I115_J-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_numeral__2__eq__2-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9546) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9546), _u9547), _u9547) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9546), _u9547), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u9548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9548), _u9549), 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(_u9548), _u9549), _u9549)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9550), 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, _u9550))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 12.21/12.39 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)))), _u9551) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9551))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u9552) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9552), c_Groups_Oone__class_Oone(_u9552)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u9552)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u9553) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9553), hAPP(c_Groups_Ouminus__class_Ouminus(_u9553), _u9554)), 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(_u9553), _u9554), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 12.21/12.39 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)))), _u9555) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9555), _u9555)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9556), 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), _u9556), _u9556)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u9557) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9557), _u9558), 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)))), _u9559)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9557), hAPP(hAPP(c_Power_Opower__class_Opower(_u9557), _u9558), _u9559)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__1__add__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9560)), 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, _u9560, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9561))), 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), _u9561), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9562)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9563))) = hAPP(hAPP(c_Groups_Otimes__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), _u9562), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9563)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9564), _u9564)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u9564) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u9565) | ~c_Int_Oiszero(_u9565, hAPP(c_Int_Onumber__class_Onumber__of(_u9565), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9566) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9567) != hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9568)) | c_Int_Oiszero(_u9566, hAPP(c_Int_Onumber__class_Onumber__of(_u9566), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9567), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9568)))) )).
% 12.21/12.39 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u9566) | ~c_Int_Oiszero(_u9566, hAPP(c_Int_Onumber__class_Onumber__of(_u9566), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9567), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9568)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9567) = hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9568)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9569) | ~class_Int_Onumber__ring(_u9569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9569), _u9570), hAPP(c_Int_Onumber__class_Onumber__of(_u9569), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), _u9570)) )).
% 12.21/12.39 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9569) | ~class_Int_Onumber__ring(_u9569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), _u9570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9569), _u9570), hAPP(c_Int_Onumber__class_Onumber__of(_u9569), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9571) | ~class_Int_Onumber__ring(_u9571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9571), c_Groups_Ozero__class_Ozero(_u9571)), _u9572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9571), c_Groups_Ozero__class_Ozero(_u9571)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9571), _u9572), hAPP(c_Int_Onumber__class_Onumber__of(_u9571), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u9573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9573), _u9574), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9575), hAPP(hAPP(c_Power_Opower__class_Opower(_u9575), _u9576), 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(_u9575), _u9577), 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(_u9575), c_Groups_Ozero__class_Ozero(_u9575)), _u9577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9575), _u9576), _u9577)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9578) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9578), _u9579), 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(_u9578), _u9580), 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(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9580)) | ( _u9579 = _u9580) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u9581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9581), hAPP(hAPP(c_Power_Opower__class_Opower(_u9581), _u9582), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u9581))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u9583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9583), c_Groups_Ozero__class_Ozero(_u9583)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9583), _u9584), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u9584 != c_Groups_Ozero__class_Ozero(_u9583)) )).
% 12.21/12.39 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u9583) | ( _u9584 = c_Groups_Ozero__class_Ozero(_u9583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9583), c_Groups_Ozero__class_Ozero(_u9583)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9583), _u9584), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9585) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9585), hAPP(hAPP(c_Power_Opower__class_Opower(_u9585), _u9586), 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(_u9585), _u9587), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u9585)) | ( _u9586 = c_Groups_Ozero__class_Ozero(_u9585)) )).
% 12.21/12.39 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9585) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9585), hAPP(hAPP(c_Power_Opower__class_Opower(_u9585), _u9586), 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(_u9585), _u9587), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u9585)) | ( _u9587 = c_Groups_Ozero__class_Ozero(_u9585)) )).
% 12.21/12.39 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u9585) | ( _u9586 != c_Groups_Ozero__class_Ozero(_u9585)) | ( _u9587 != c_Groups_Ozero__class_Ozero(_u9585)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9585), hAPP(hAPP(c_Power_Opower__class_Opower(_u9585), _u9586), 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(_u9585), _u9587), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u9585)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u9588) | ~class_Int_Onumber(_u9588) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9588), hAPP(c_Int_Onumber__class_Onumber__of(_u9588), _u9589)), 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(_u9588), hAPP(c_Int_Onumber__class_Onumber__of(_u9588), _u9589)), hAPP(c_Int_Onumber__class_Onumber__of(_u9588), _u9589))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9590), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u9590 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9590 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__2-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u9591) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9591), _u9592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 = c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 = hAPP(c_Groups_Ouminus__class_Ouminus(_u9591), c_Groups_Oone__class_Oone(_u9591))) )).
% 12.21/12.39 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u9591) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9591), _u9592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 != c_Groups_Oone__class_Oone(_u9591)) )).
% 12.21/12.39 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u9591) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9591), _u9592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 != hAPP(c_Groups_Ouminus__class_Ouminus(_u9591), c_Groups_Oone__class_Oone(_u9591))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9593) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9593), _u9594), 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)))), _u9595)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9593), hAPP(hAPP(c_Power_Opower__class_Opower(_u9593), _u9594), _u9595)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9593), _u9594), _u9595))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u9596) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9596), hAPP(c_Groups_Ouminus__class_Ouminus(_u9596), _u9597)), 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)))), _u9598)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9596), _u9597), 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)))), _u9598))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), hAPP(hAPP(c_Power_Opower__class_Opower(_u9599), _u9600), 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(_u9599), _u9601), 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(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), _u9601)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u9602) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9602), c_Groups_Ozero__class_Ozero(_u9602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9602), hAPP(hAPP(c_Power_Opower__class_Opower(_u9602), _u9603), 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(_u9602), _u9604), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9605), hAPP(hAPP(c_Power_Opower__class_Opower(_u9605), _u9606), 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(_u9605), _u9607), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9605))) | ( _u9606 = c_Groups_Ozero__class_Ozero(_u9605)) )).
% 12.21/12.39 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9605), hAPP(hAPP(c_Power_Opower__class_Opower(_u9605), _u9606), 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(_u9605), _u9607), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9605))) | ( _u9607 = c_Groups_Ozero__class_Ozero(_u9605)) )).
% 12.21/12.39 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u9605) | ( _u9606 != c_Groups_Ozero__class_Ozero(_u9605)) | ( _u9607 != c_Groups_Ozero__class_Ozero(_u9605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9605), hAPP(hAPP(c_Power_Opower__class_Opower(_u9605), _u9606), 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(_u9605), _u9607), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9605))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u9608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9608), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9608), hAPP(hAPP(c_Power_Opower__class_Opower(_u9608), _u9609), 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(_u9608), _u9610), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9608))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), c_Groups_Ozero__class_Ozero(_u9611)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9611), hAPP(hAPP(c_Power_Opower__class_Opower(_u9611), _u9612), 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(_u9611), _u9613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u9612 != c_Groups_Ozero__class_Ozero(_u9611)) | ( _u9613 != c_Groups_Ozero__class_Ozero(_u9611)) )).
% 12.21/12.39 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9611) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), c_Groups_Ozero__class_Ozero(_u9611)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9611), hAPP(hAPP(c_Power_Opower__class_Opower(_u9611), _u9612), 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(_u9611), _u9613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u9612 = c_Groups_Ozero__class_Ozero(_u9611)) )).
% 12.21/12.39 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u9611) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), c_Groups_Ozero__class_Ozero(_u9611)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9611), hAPP(hAPP(c_Power_Opower__class_Opower(_u9611), _u9612), 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(_u9611), _u9613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u9613 = c_Groups_Ozero__class_Ozero(_u9611)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u9614) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9614), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9614), _u9615), _u9616)), 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(_u9614), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9614), hAPP(hAPP(c_Power_Opower__class_Opower(_u9614), _u9615), 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(_u9614), _u9616), 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(_u9614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9614), hAPP(c_Int_Onumber__class_Onumber__of(_u9614), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9615)), _u9616))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u9617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9617), c_Groups_Ozero__class_Ozero(_u9617)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9617), _u9618), 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)))), _u9619)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9620) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9620), _u9621), 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)))), _u9622))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9620), _u9621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9620), hAPP(hAPP(c_Power_Opower__class_Opower(_u9620), _u9621), _u9622)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9620), _u9621), _u9622)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u9623) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9623), _u9624), 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)))), _u9625))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9623), _u9624), hAPP(hAPP(c_Power_Opower__class_Opower(_u9623), hAPP(hAPP(c_Power_Opower__class_Opower(_u9623), _u9624), _u9625)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u9626) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9626), hAPP(c_Groups_Ouminus__class_Ouminus(_u9626), c_Groups_Oone__class_Oone(_u9626))), 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)))), _u9627)) = c_Groups_Oone__class_Oone(_u9626)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9630))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9632))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9630))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9632)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9630))) )).
% 12.21/12.39 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), _u9631))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9633))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9631))) = 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), _u9633)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9631))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9635, 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, _u9635, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9636, 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, _u9636, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9637)) | 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), _u9637), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u9638) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9638), _u9639), _u9640)), 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(_u9638), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9638), hAPP(hAPP(c_Power_Opower__class_Opower(_u9638), _u9639), 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(_u9638), _u9640), 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(_u9638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9638), hAPP(c_Int_Onumber__class_Onumber__of(_u9638), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9639)), _u9640))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u9641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9641), c_Groups_Ozero__class_Ozero(_u9641)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9641), _u9642), 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)))), _u9643))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9641), c_Groups_Ozero__class_Ozero(_u9641)), _u9642)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u9644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9644), _u9645), c_Groups_Ozero__class_Ozero(_u9644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9644), hAPP(hAPP(c_Power_Opower__class_Opower(_u9644), _u9645), 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)))), _u9646)))), c_Groups_Ozero__class_Ozero(_u9644))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u9647) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9647), hAPP(c_Groups_Ouminus__class_Ouminus(_u9647), c_Groups_Oone__class_Oone(_u9647))), 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)))), _u9648))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9647), c_Groups_Oone__class_Oone(_u9647))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9649)) | 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), _u9649), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u9650) | ( c_Groups_Ozero__class_Ozero(_u9650) != hAPP(c_Int_Onumber__class_Onumber__of(_u9650), _u9651)) | c_Int_Oiszero(_u9650, hAPP(c_Int_Onumber__class_Onumber__of(_u9650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9651)))) )).
% 12.21/12.39 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u9650) | ~c_Int_Oiszero(_u9650, hAPP(c_Int_Onumber__class_Onumber__of(_u9650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9651)))) | ( c_Groups_Ozero__class_Ozero(_u9650) = hAPP(c_Int_Onumber__class_Onumber__of(_u9650), _u9651)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u9652) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9652), _u9653) != c_Groups_Ozero__class_Ozero(_u9652)) | c_Int_Oiszero(_u9652, hAPP(c_Int_Onumber__class_Onumber__of(_u9652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.21/12.39 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u9652) | ~c_Int_Oiszero(_u9652, hAPP(c_Int_Onumber__class_Onumber__of(_u9652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9652), _u9653) = c_Groups_Ozero__class_Ozero(_u9652)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9654)) | ( 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)))), _u9655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9654)) = 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, _u9655, _u9654)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9656), 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)))), _u9657))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9656)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9657), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9656)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9658)) | ( 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)))), _u9659))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9658)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9659), _u9658)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u9660) = 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)), _u9660))))), 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)), _u9660))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u9661), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9662), _u9663)) = 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), _u9663), _u9661)), 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)))), _u9662)), 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)))), _u9662)), _u9663)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9664))) | ~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), _u9664))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9664)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39 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), _u9664))) | 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), _u9664))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9664)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9664)), 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), _u9664))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u9667, _u9669) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9667), _u9669)) )).
% 12.21/12.39 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u9667, _u9669) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9669), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9668), _u9670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9670), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u9668, _u9670) = hAPP(c_Divides_Oadjust(_u9670), c_Divides_OposDivAlg(_u9668, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9670)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9672), _u9671)) | ( c_Divides_OposDivAlg(_u9672, _u9671) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9672)) )).
% 12.21/12.39 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)), _u9671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9672), _u9671)) | ( c_Divides_OposDivAlg(_u9672, _u9671) = hAPP(c_Divides_Oadjust(_u9671), c_Divides_OposDivAlg(_u9672, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9671)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673)) = 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), _u9674))) )).
% 12.21/12.39 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), _u9673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674), hAPP(hAPP(c_Groups_Otimes__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), _u9673))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9675), _u9676))) | ( c_Divides_OposDivAlg(_u9675, _u9676) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9675), _u9676)) )).
% 12.21/12.39 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), _u9675), _u9676))) | ( c_Divides_OposDivAlg(_u9675, _u9676) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9676), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 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), _u9675), _u9676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9675), _u9676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9676), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u9675, _u9676) = hAPP(c_Divides_Oadjust(_u9676), c_Divides_OposDivAlg(_u9675, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9676)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u9677) | ( _u9678 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9677), _u9678) = c_Groups_Ozero__class_Ozero(_u9677)) )).
% 12.21/12.39 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u9677) | ( _u9678 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9678), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9677), _u9678) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9677), hAPP(c_Int_Oring__1__class_Oof__int(_u9677), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9678)))) )).
% 12.21/12.39 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u9677) | ( _u9678 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9678), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9677), _u9678) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u9677), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u9677, _u9677)), tc_fun(tc_Int_Oint, _u9677)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9677, _u9677), _u9677), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u9677, _u9677)), tc_fun(tc_Int_Oint, _u9677)), tc_Int_Oint), c_COMBB(tc_fun(_u9677, _u9677), _u9677, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u9677, tc_fun(tc_fun(_u9677, _u9677), _u9677), tc_Int_Oint), c_HOL_OLet(_u9677, _u9677)), c_Int_Oring__1__class_Oof__int(_u9677)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u9677, _u9677), tc_fun(_u9677, _u9677)), hAPP(hAPP(c_COMBB(tc_fun(_u9677, tc_fun(_u9677, _u9677)), tc_fun(tc_fun(_u9677, _u9677), tc_fun(_u9677, _u9677)), tc_Int_Oint), c_COMBS(_u9677, _u9677, _u9677)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u9677, _u9677), tc_fun(_u9677, tc_fun(_u9677, _u9677))), hAPP(hAPP(c_COMBB(tc_fun(_u9677, tc_fun(_u9677, _u9677)), tc_fun(tc_fun(_u9677, _u9677), tc_fun(_u9677, tc_fun(_u9677, _u9677))), tc_Int_Oint), c_COMBB(_u9677, tc_fun(_u9677, _u9677), _u9677)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9677, tc_fun(_u9677, _u9677)), tc_Int_Oint), c_If(_u9677)), 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(_u9677, _u9677, _u9677), c_Groups_Oplus__class_Oplus(_u9677)), c_COMBI(_u9677))))), hAPP(hAPP(c_COMBC(_u9677, _u9677, _u9677), hAPP(hAPP(c_COMBB(_u9677, tc_fun(_u9677, _u9677), _u9677), c_Groups_Oplus__class_Oplus(_u9677)), hAPP(hAPP(c_COMBS(_u9677, _u9677, _u9677), c_Groups_Oplus__class_Oplus(_u9677)), c_COMBI(_u9677)))), c_Groups_Oone__class_Oone(_u9677))))), c_Divides_Odivmod__int(_u9678, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9679))) | ~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), _u9679)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9679)) = 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), _u9679)))) )).
% 12.21/12.39 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), _u9679))) | 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), _u9679)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9679)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9679)), 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), _u9679))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9680))) | ~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), _u9681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)) = 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), _u9681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)))) )).
% 12.21/12.39 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), _u9680))) | 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), _u9681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9681), hAPP(hAPP(c_Groups_Otimes__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), _u9680))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u9682) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9682), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9682), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u9684) != c_Int_OMin) | ( _u9684 = c_Int_OMin) )).
% 12.21/12.39 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u9685 != c_Int_OMin) | ( c_Int_OBit1(_u9685) = c_Int_OMin) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u9687)) | ( c_Int_OMin = _u9687) )).
% 12.21/12.39 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u9688) | ( c_Int_OMin = c_Int_OBit1(_u9688)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u9689) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9690) != hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9691)) | ( _u9690 = _u9691) )).
% 12.21/12.39 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u9689) | ( _u9690 != _u9691) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9690) = hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9691)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I24_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9692) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u9692)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9693) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9693), _u9694) = hAPP(c_Int_Oring__1__class_Oof__int(_u9693), _u9694)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u9695) != c_Int_OMin) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u9696)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9697) | ~class_Rings_Oring__1(_u9697) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9697), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9698, tc_Int_Oint), _u9699), _u9700)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9698, _u9697), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9697, _u9698), c_Int_Oring__1__class_Oof__int(_u9697)), _u9699)), _u9700)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_bin__less__0__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I20_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I23_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9702)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9702), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9703), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9703)), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u9705)) )).
% 12.21/12.39 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u9706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9706))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9708)) )).
% 12.21/12.39 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9709))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9711)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9711), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9712), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9712)), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9714)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9714), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9715), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9715)), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9717)) )).
% 12.21/12.39 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9718))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_eq__number__of__Pls__Min-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Int_OMin__def-1, axiom, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u9719) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9719)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_neg__number__of__Min-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9720), c_Int_OMin) = c_Int_Opred(_u9720)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u9721) = c_Int_Opred(_u9721)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u9722) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9722), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u9722)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u9723) | ( c_Groups_Ozero__class_Ozero(_u9723) != hAPP(c_Int_Oring__1__class_Oof__int(_u9723), _u9724)) | ( _u9724 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u9723) | ( _u9724 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u9723) = hAPP(c_Int_Oring__1__class_Oof__int(_u9723), _u9724)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u9725) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9725), _u9726) != c_Groups_Ozero__class_Ozero(_u9725)) | ( _u9726 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u9725) | ( _u9726 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9725), _u9726) = c_Groups_Ozero__class_Ozero(_u9725)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9727), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9728)), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9728), _u9729)) )).
% 12.21/12.39 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9728), _u9729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9727), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9728)), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9729))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9731)), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9731), _u9732)) )).
% 12.21/12.39 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9731), _u9732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9731)), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9732))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u9733) | ~c_Int_Oiszero(_u9733, hAPP(c_Int_Onumber__class_Onumber__of(_u9733), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u9734) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9734), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9735), _u9736)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9734), hAPP(c_Int_Oring__1__class_Oof__int(_u9734), _u9735)), hAPP(c_Int_Oring__1__class_Oof__int(_u9734), _u9736))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9737) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9737), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9738)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9737), _u9738)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u9739) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9740), _u9741)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9739), hAPP(c_Int_Oring__1__class_Oof__int(_u9739), _u9740)), hAPP(c_Int_Oring__1__class_Oof__int(_u9739), _u9741))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u9742) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9742), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u9742)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u9743) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9743), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9744), _u9745)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9743), hAPP(c_Int_Oring__1__class_Oof__int(_u9743), _u9744)), hAPP(c_Int_Oring__1__class_Oof__int(_u9743), _u9745))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9746), c_Int_OMin) = c_Int_Osucc(_u9746)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u9747) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9747), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9748)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9747), hAPP(c_Int_Oring__1__class_Oof__int(_u9747), _u9748))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u9749) | hBOOL(hAPP(hAPP(c_member(_u9749), hAPP(c_Int_Oring__1__class_Oof__int(_u9749), _u9750)), c_Int_Oring__1__class_OInts(_u9749))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u9751) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9751), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9752), _u9753)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9751), hAPP(c_Int_Oring__1__class_Oof__int(_u9751), _u9752)), _u9753)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u9754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9754), hAPP(c_Int_Onumber__class_Onumber__of(_u9754), c_Int_OMin)), _u9755) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9754), _u9755)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u9756) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9756), _u9757), hAPP(c_Int_Onumber__class_Onumber__of(_u9756), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9756), _u9757)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u9758) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9758), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9758), c_Groups_Oone__class_Oone(_u9758))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u9759) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9759), c_Groups_Oone__class_Oone(_u9759)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9759), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9760) | ~class_Int_Onumber__ring(_u9760) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9760), _u9761), hAPP(c_Int_Onumber__class_Onumber__of(_u9760), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9760), _u9761)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9763)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9763), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9764), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9764)), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9766)) )).
% 12.21/12.39 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9767))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9768, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9769)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u9769))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9773), _u9775) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9773 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9775 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.39 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9773), _u9775) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9773 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u9775 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9776), _u9777) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9776 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9776 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9778)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u9778))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 12.21/12.39 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(_u9779)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u9779))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9780), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9780)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9781) | ~class_Int_Onumber__ring(_u9781) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9781), hAPP(c_Int_Onumber__class_Onumber__of(_u9781), c_Int_OMin)), _u9782) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9781), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9781), c_Groups_Oone__class_Oone(_u9781)), _u9782))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9783)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u9783) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9784), hAPP(c_Int_Oring__1__class_Oof__int(_u9784), _u9785)), c_Groups_Ozero__class_Ozero(_u9784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9785), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9785), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9784), hAPP(c_Int_Oring__1__class_Oof__int(_u9784), _u9785)), c_Groups_Ozero__class_Ozero(_u9784))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9786), c_Groups_Ozero__class_Ozero(_u9786)), hAPP(c_Int_Oring__1__class_Oof__int(_u9786), _u9787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9787)) )).
% 12.21/12.39 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9786), c_Groups_Ozero__class_Ozero(_u9786)), hAPP(c_Int_Oring__1__class_Oof__int(_u9786), _u9787))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9788), c_Groups_Ozero__class_Ozero(_u9788)), hAPP(c_Int_Oring__1__class_Oof__int(_u9788), _u9789))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9789)) )).
% 12.21/12.39 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9788), c_Groups_Ozero__class_Ozero(_u9788)), hAPP(c_Int_Oring__1__class_Oof__int(_u9788), _u9789))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9790), hAPP(c_Int_Oring__1__class_Oof__int(_u9790), _u9791)), c_Groups_Ozero__class_Ozero(_u9790))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9790), hAPP(c_Int_Oring__1__class_Oof__int(_u9790), _u9791)), c_Groups_Ozero__class_Ozero(_u9790))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u9792) = 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), _u9792), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9793), _u9794)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9793), _u9794) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9795)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u9795) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9795), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u9796) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9796), hAPP(c_Int_Onumber__class_Onumber__of(_u9796), 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)))), _u9797)) = c_Groups_Oone__class_Oone(_u9796)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u9798) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9798), hAPP(c_Int_Onumber__class_Onumber__of(_u9798), 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)))), _u9799))) = hAPP(c_Int_Onumber__class_Onumber__of(_u9798), c_Int_OMin)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u9802, _u9804) = 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), _u9802), _u9804))) | ~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), _u9802), _u9804))) )).
% 12.21/12.39 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u9802, _u9804) = 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), _u9802), _u9804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9804), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 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), _u9803), _u9805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9805), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u9803, _u9805) = hAPP(c_Divides_Oadjust(_u9805), c_Divides_OnegDivAlg(_u9803, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9805)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 12.21/12.39 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)), _u9806)) | ~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), _u9807), _u9806))) | ( c_Divides_OnegDivAlg(_u9807, _u9806) = 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), _u9807), _u9806))) )).
% 12.21/12.39 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)), _u9806)) | 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), _u9807), _u9806))) | ( c_Divides_OnegDivAlg(_u9807, _u9806) = hAPP(c_Divides_Oadjust(_u9806), c_Divides_OnegDivAlg(_u9807, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9806)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9808), _u9809))) | ( c_Divides_OnegDivAlg(_u9808, _u9809) = 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), _u9808), _u9809))) | ~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), _u9808), _u9809))) )).
% 12.21/12.39 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), _u9808), _u9809))) | ( c_Divides_OnegDivAlg(_u9808, _u9809) = 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), _u9808), _u9809))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9809), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 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), _u9808), _u9809))) | 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), _u9808), _u9809))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9809), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u9808, _u9809) = hAPP(c_Divides_Oadjust(_u9809), c_Divides_OnegDivAlg(_u9808, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9809)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9812), _u9813))) | hBOOL(hAPP(hAPP(_u9814, _u9812), _u9813)) | 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), skolem158(_u9814, _u9813, _u9812)), skolem159(_u9814, _u9813, _u9812)))) )).
% 12.21/12.39 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), _u9812), _u9813))) | hBOOL(hAPP(hAPP(_u9814, _u9812), _u9813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem158(_u9814, _u9813, _u9812)), skolem159(_u9814, _u9813, _u9812))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem159(_u9814, _u9813, _u9812)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9814, skolem158(_u9814, _u9813, _u9812)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem159(_u9814, _u9813, _u9812)))) )).
% 12.21/12.39 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), _u9812), _u9813))) | hBOOL(hAPP(hAPP(_u9814, _u9812), _u9813)) | ~hBOOL(hAPP(hAPP(_u9814, skolem158(_u9814, _u9813, _u9812)), skolem159(_u9814, _u9813, _u9812))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__of__code-1, axiom, ( ( _u9816 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u9816) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39 cnf(fact_int__of__code-2, axiom, ( ( _u9817 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u9817, 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, _u9817) = hAPP(hAPP(c_Groups_Otimes__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), _u9817), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.21/12.39 cnf(fact_int__of__code-3, axiom, ( ( _u9817 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u9817, 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, _u9817) = 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), _u9817), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u9818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9819)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9818), 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)))), _u9819))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9818), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9818), hAPP(c_Int_Onat, _u9819))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9818), hAPP(c_Int_Onat, _u9819)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_negative__zle-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9820))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9821))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9822)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9823))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u9824) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9824), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9825)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9824), _u9825)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__int__eq-1, axiom, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9826)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9826)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9829), _u9831)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9829)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9831))) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9830)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9832))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9830), _u9832)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9833))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_code__numeral__zero__minus__one-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u9834) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9835) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9836)) | ( _u9835 = _u9836) )).
% 12.21/12.39 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u9834) | ( _u9835 != _u9836) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9835) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9836)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9837)) = _u9837) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9839)) | 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)), _u9839))) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I1_J-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9840))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9840)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u9841) = 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)), _u9841))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_inj__int-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9842) | ~class_Groups_Ocomm__monoid__mult(_u9842) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9842), _u9843), _u9844) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9842), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9842, tc_Int_Oint), _u9843), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9844))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__setprod-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9845, tc_Nat_Onat), _u9846), _u9847)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9845, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9845), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9846)), _u9847)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9849) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9849 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u9850 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9850) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__0-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__zle__int-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9851))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u9857, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem160(_u9857))) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u9857, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9853))) | ~hBOOL(hAPP(_u9857, skolem160(_u9857))) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u9858, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem161(_u9858)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9855)) | hBOOL(hAPP(_u9858, _u9855)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__quantifiers_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9859)) | ~hBOOL(hAPP(_u9864, _u9859)) | hBOOL(hAPP(_u9864, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem162(_u9864)))) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u9865, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem163(_u9865))) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u9865, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9861))) | hBOOL(hAPP(_u9865, skolem163(_u9865))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9866))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__less__0__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9867)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zless__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9870)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9870), _u9872)) )).
% 12.21/12.39 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9871), _u9873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9871)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9873))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9876)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9876), _u9878)) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9877), _u9879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9877)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9879))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zle__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9882)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9882), _u9884)) )).
% 12.21/12.39 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9883), _u9885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9885))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__relations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9888)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9888), _u9890)) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9889), _u9891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9889)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9891))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zadd__int-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9892)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9893)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9892), _u9893))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zadd__int__left-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9894)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9895)), _u9896)) = 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), _u9894), _u9895))), _u9896)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9897)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9898)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9897), _u9898))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9903), _u9905)) | ( _u9905 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9903), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem164(_u9905, _u9903)))) )).
% 12.21/12.39 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u9906 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9904), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9900))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9904), _u9906)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9907) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9907), c_Groups_Ozero__class_Ozero(_u9907)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9907), _u9908))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9909), c_Groups_Ozero__class_Ozero(_u9909)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9909), _u9910))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_negative__eq__positive-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9913)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9915)) | ( _u9913 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_negative__eq__positive-2, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9913)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9915)) | ( _u9915 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_negative__eq__positive-3, axiom, ( ( _u9914 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9916 != 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), _u9914)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9916)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9917), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9917), _u9918)), c_Groups_Ozero__class_Ozero(_u9917))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__int__zless__negative-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9919)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9920)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__mult-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9921), _u9922)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9921)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9922))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zmult__int-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9923)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9924)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9923), _u9924))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9925)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9926)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9925), _u9926))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u9927) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9927), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u9927)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9928), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9928), _u9929)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9928), _u9930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9929), _u9930)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9932), _u9933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9931), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9931), _u9932)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9931), _u9933))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9934), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9935)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9935), _u9936)) )).
% 12.21/12.39 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u9934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9935), _u9936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9934), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9935)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9936))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9937), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9938)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9938), _u9939)) )).
% 12.21/12.39 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u9937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9938), _u9939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9937), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9938)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9939))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u9940) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9940), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9941), _u9942)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9940), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9940), _u9941)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9940), _u9942))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u9943) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9943), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9944), _u9945)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9943), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9943), _u9944)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9943), _u9945))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 12.21/12.39 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, _u9946, _u9947)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9946), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9947))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 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), _u9948), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9949)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9948, _u9949))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9950)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9950)) = _u9950) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zdiv__int-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9951), _u9952)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9951)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9952))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Divides_Otransfer__int__nat__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9953)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9954)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9953), _u9954))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u9955) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9955), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u9955)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__set__return__embed-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9956)) = _u9956) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u9957), _u9958) = 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)), _u9957)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9958)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u9959), _u9960) = 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)), _u9959)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9960)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u9961) | hBOOL(hAPP(hAPP(c_member(_u9961), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9961), _u9962)), c_Int_Oring__1__class_OInts(_u9961))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u9963) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9963), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9964), _u9965)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9963), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9963), _u9964)), _u9965)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zpower__int-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9966)), _u9967) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9966), _u9967))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__power ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__power-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9968), _u9969)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9968)), _u9969)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9970)), _u9971) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9970), _u9971))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J-1, axiom, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9972), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9973)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9972), _u9973))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u9974) | c_Fun_Oinj__on(tc_Nat_Onat, _u9974, c_Nat_Osemiring__1__class_Oof__nat(_u9974), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9975, tc_Nat_Onat), _u9976), _u9977) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9975, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9975), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9976)), _u9977))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__le__0__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9979)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9979 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_int__le__0__conv-2, axiom, ( ( _u9980 != 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), _u9980)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__Suc0__eq__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9985), _u9987)) | ( _u9987 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9985), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem165(_u9987, _u9985))))) )).
% 12.21/12.39 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u9988 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9986), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u9982)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9986), _u9988)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__nat__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9990)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9990)) = _u9990) )).
% 12.21/12.39 cnf(fact_int__nat__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9991)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9991)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9994) != _u9996) | ( _u9994 = hAPP(c_Int_Onat, _u9996)) )).
% 12.21/12.39 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9994) != _u9996) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9996)) )).
% 12.21/12.39 cnf(fact_int__eq__iff-3, axiom, ( ( _u9995 != hAPP(c_Int_Onat, _u9997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9997)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9995) = _u9997) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__0__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9998)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9998)) = _u9998) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10001), hAPP(c_Int_Onat, _u10003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10001)), _u10003)) )).
% 12.21/12.39 cnf(fact_zless__nat__eq__int__zless-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10002)), _u10004)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10002), hAPP(c_Int_Onat, _u10004))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__zle__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10007)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10009)))) | ( _u10007 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_int__zle__neg-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10007)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10009)))) | ( _u10009 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_int__zle__neg-3, axiom, ( ( _u10008 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10010 != 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), _u10008)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10010)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u10011)) = 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), _u10011))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_negative__zle__0-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10012))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__zminus__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10013))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10014) | ~class_Rings_Osemiring__1(_u10014) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10014), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10015, tc_Nat_Onat), _u10016), _u10017)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10015, _u10014), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10014, _u10015), c_Nat_Osemiring__1__class_Oof__nat(_u10014)), _u10016)), _u10017)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10018), _u10019)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10019)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10018)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10019), _u10018))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u10020) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10020), hAPP(c_Nat_OSuc, _u10021)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10020), c_Groups_Oone__class_Oone(_u10020)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10020), _u10021))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 12.21/12.39 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, _u10022))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u10023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10024), _u10025)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10023), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10025), _u10024)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10023), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10023), _u10025)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10023), _u10024))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__code__numeral__code-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zero__less__int__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10027)) )).
% 12.21/12.39 cnf(fact_zero__less__int__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10028)) | 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), _u10028))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u10031) != _u10033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10031)) | ( _u10031 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10033)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u10031) != _u10033) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10031)) | ( _u10033 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u10032) = _u10034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10032)) | ( _u10034 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u10032) = _u10034) | ( _u10032 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10032)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u10032) = _u10034) | ( _u10032 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10034)) | ( _u10034 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u10037 != hAPP(c_Int_Onat, _u10039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10039)) | ( _u10039 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10037)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u10037 != hAPP(c_Int_Onat, _u10039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10039)) | ( _u10037 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u10038 = hAPP(c_Int_Onat, _u10040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10040)) | ( _u10038 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u10038 = hAPP(c_Int_Onat, _u10040)) | ( _u10040 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10040)) )).
% 12.21/12.39 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u10038 = hAPP(c_Int_Onat, _u10040)) | ( _u10040 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10038)) | ( _u10038 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u10045, hAPP(c_Int_Onat, _u10047))) | ( _u10047 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10041)) | hBOOL(hAPP(_u10045, _u10041)) )).
% 12.21/12.39 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u10045, hAPP(c_Int_Onat, _u10047))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10047), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u10045, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ( _u10048 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u10048, _u10046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ( _u10048 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u10048, _u10046))) | ~hBOOL(hAPP(_u10046, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ~hBOOL(hAPP(_u10046, skolem166(_u10048, _u10046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ~hBOOL(hAPP(_u10046, skolem166(_u10048, _u10046))) | ~hBOOL(hAPP(_u10046, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10049), _u10050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10051)) | 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), _u10051)), _u10049)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10051)), _u10050))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_not__zle__0__negative-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u10052))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_negative__zless__0-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u10053)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10056) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10058)) | ( _u10056 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10058))) )).
% 12.21/12.39 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10056) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10058)) | 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), _u10058))) )).
% 12.21/12.39 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u10057 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10059))) | ~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), _u10059))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10057) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10059)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10060), c_Groups_Ozero__class_Ozero(_u10060)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10060), _u10061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10061)) )).
% 12.21/12.39 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u10060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10060), c_Groups_Ozero__class_Ozero(_u10060)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10060), _u10061))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10063))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10063)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.39 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10064))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10064)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10064)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u10065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10066)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10065), hAPP(c_Int_Onat, _u10066)) = hAPP(c_Int_Oring__1__class_Oof__int(_u10065), _u10066)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_nat__less__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10067)), _u10068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10067), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10068))) )).
% 12.21/12.39 cnf(fact_nat__less__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10067), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10067)), _u10068)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u10072, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10074), _u10076)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10076), _u10074)) | hBOOL(hAPP(_u10072, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10074)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10076)))) )).
% 12.21/12.39 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u10072, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10074), _u10076)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10074), _u10076)) | hBOOL(hAPP(_u10072, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10077), _u10075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10075), _u10077)) )).
% 12.21/12.39 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10077), _u10075)) | ~hBOOL(hAPP(_u10073, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | ~hBOOL(hAPP(_u10073, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10075)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10077)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10075), _u10077)) )).
% 12.21/12.39 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | ~hBOOL(hAPP(_u10073, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10075)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10077)))) | ~hBOOL(hAPP(_u10073, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 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)))), _u10078)) = 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), _u10078), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10079) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10080))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10080)) = c_Groups_Ozero__class_Ozero(_u10079)) )).
% 12.21/12.39 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u10079) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10080))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10080)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10079), _u10080)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u10081) | ~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), _u10082))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10081), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10082)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10081), _u10082)) )).
% 12.21/12.39 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u10081) | 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), _u10082))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10081), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10082)) = c_Groups_Ozero__class_Ozero(_u10081)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u10083) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10084), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10083), _u10084) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10083), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10083), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10084))))) )).
% 12.21/12.39 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u10083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10084), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10083), _u10084) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10083), hAPP(c_Int_Onat, _u10084))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_one__code__numeral__code-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u10085, _u10086) = 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), _u10085), _u10086)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10085, _u10086))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.21/12.39 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), _u10089), _u10090))) | hBOOL(hAPP(hAPP(_u10091, _u10089), _u10090)) | 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), skolem167(_u10091, _u10090, _u10089)), skolem168(_u10091, _u10090, _u10089)))) )).
% 12.21/12.39 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), _u10089), _u10090))) | hBOOL(hAPP(hAPP(_u10091, _u10089), _u10090)) | 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), skolem167(_u10091, _u10090, _u10089)), skolem168(_u10091, _u10090, _u10089)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem168(_u10091, _u10090, _u10089)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10091, skolem167(_u10091, _u10090, _u10089)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem168(_u10091, _u10090, _u10089)))) )).
% 12.21/12.39 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), _u10089), _u10090))) | hBOOL(hAPP(hAPP(_u10091, _u10089), _u10090)) | ~hBOOL(hAPP(hAPP(_u10091, skolem167(_u10091, _u10090, _u10089)), skolem168(_u10091, _u10090, _u10089))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u10092) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10092), _u10093) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10092, hAPP(hAPP(c_COMBC(_u10092, _u10092, _u10092), c_Groups_Oplus__class_Oplus(_u10092)), c_Groups_Oone__class_Oone(_u10092)), _u10093, c_Groups_Ozero__class_Ozero(_u10092))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 12.21/12.39 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), _u10094)), hAPP(c_Nat_OSuc, _u10095)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10094))), 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)), _u10095))))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10098), _u10100)) | 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)), _u10098)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10100))) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10099)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10099), _u10101)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u10104 != _u10106) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10104) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10106)) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I3_J-2, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10105) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10107)) | ( _u10105 = _u10107) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10110), _u10112)) | 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)), _u10110)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10112))) )).
% 12.21/12.39 cnf(fact_transfer__nat__int__set__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10111)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10111), _u10113)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10116) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10118)) | ( _u10116 = _u10118) )).
% 12.21/12.39 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u10117 != _u10119) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10117) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10119)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10122) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10124)) | ( _u10122 = _u10124) )).
% 12.21/12.39 cnf(fact_int__int__eq-2, axiom, ( ( _u10123 != _u10125) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10123) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10125)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10127), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_infinite__UNIV__int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u10128) | c_Finite__Set_Ofun__left__comm__idem(_u10128, _u10128, c_Orderings_Oord__class_Omin(_u10128)) )).
% 12.21/12.39
% 12.21/12.39 % Formula: fact_min__of__mono ( axiom ) converted to clauses:
% 12.21/12.39 cnf(fact_min__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u10129) | ~class_Orderings_Olinorder(_u10130) | ~c_Orderings_Oorder__class_Omono(_u10130, _u10129, _u10131) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10129), hAPP(_u10131, _u10132)), hAPP(_u10131, _u10133)) = hAPP(_u10131, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10130), _u10132), _u10133))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u10134) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10134), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10134), _u10135), _u10136)), _u10137) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10134), _u10135), _u10137)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10134), _u10136), _u10137))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10138) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10138), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10138), _u10139), _u10140)), _u10141) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10138), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10138), _u10139), _u10141)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10138), _u10140), _u10141))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u10142) | ~class_Orderings_Olinorder(_u10142) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u10142) = c_Orderings_Oord__class_Omin(_u10142)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10143)), hAPP(c_Nat_OSuc, _u10144)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10143), _u10144))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u10145) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10145), _u10146), _u10146) = _u10146) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u10147) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10147), _u10148), _u10149) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10147), _u10149), _u10148)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10150) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10150), _u10151), _u10152) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10150), _u10152), _u10151)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10153) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10153), _u10154), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10153), _u10154), _u10155)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10153), _u10154), _u10155)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10156) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10156), _u10157), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10156), _u10157), _u10158)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10156), _u10157), _u10158)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10159) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10160), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10161), _u10162)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10161), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10160), _u10162))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10163) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10165), _u10166)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10165), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10164), _u10166))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u10167) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), _u10168), _u10169)), _u10170) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), _u10168), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), _u10169), _u10170))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u10171) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), _u10172), _u10173)), _u10174) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), _u10172), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), _u10173), _u10174))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u10175) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10175), _u10176), _u10176) = _u10176) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u10177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10177), _u10178), _u10179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10177), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10177), _u10180), _u10178)), _u10179)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u10181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10181), _u10182), _u10183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10181), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10181), _u10182), _u10184)), _u10183)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u10185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10185), _u10186), _u10187)), _u10188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10186), _u10188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10187), _u10188)) )).
% 12.21/12.40 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u10185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10185), _u10186), _u10187)), _u10188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10186), _u10188)) )).
% 12.21/12.40 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u10185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10185), _u10186), _u10187)), _u10188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10187), _u10188)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10189), _u10191), _u10192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10191)) )).
% 12.21/12.40 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10189), _u10191), _u10192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10192)) )).
% 12.21/12.40 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10189), _u10191), _u10192))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u10193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10193), _u10194), _u10195)), _u10196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10194), _u10196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10195), _u10196)) )).
% 12.21/12.40 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u10193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10193), _u10194), _u10195)), _u10196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10194), _u10196)) )).
% 12.21/12.40 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u10193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10193), _u10194), _u10195)), _u10196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10195), _u10196)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u10197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10197), _u10199), _u10200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), _u10199)) )).
% 12.21/12.40 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u10197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10197), _u10199), _u10200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), _u10200)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u10201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10201), _u10202), _u10203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10201), _u10204), _u10205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10201), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10201), _u10202), _u10204)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10201), _u10203), _u10205))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u10206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10206), _u10207), _u10208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10206), _u10207), _u10209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10206), _u10207), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10206), _u10208), _u10209))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u10210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10210), _u10211), _u10212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10210), _u10211), _u10213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10210), _u10211), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10210), _u10212), _u10213))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u10214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10214), _u10215), _u10216)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10214), _u10216), _u10215) = _u10215) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u10217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10217), _u10218), _u10219)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10217), _u10218), _u10219) = _u10218) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u10220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10220), _u10221), _u10222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10220), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10220), _u10223), _u10221)), _u10222)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u10224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10224), _u10225), _u10226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10224), _u10225), _u10227)), _u10226)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10228), _u10230), _u10231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10230)) )).
% 12.21/12.40 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10228), _u10230), _u10231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10231)) )).
% 12.21/12.40 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10228), _u10230), _u10231))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u10232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), _u10233), _u10234)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10232), _u10233), _u10234) = _u10233) )).
% 12.21/12.40 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u10232) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10232), _u10233), _u10234) != _u10233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), _u10233), _u10234)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u10235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10235), _u10236), _u10237)), _u10237)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u10238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10238), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10238), _u10239), _u10240)), _u10239)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10241), _u10242)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10243), _u10242)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10241), _u10243)), _u10242)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u10244) | ~class_Orderings_Oord(_u10244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)) )).
% 12.21/12.40 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u10244) | ~class_Orderings_Oord(_u10244) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10247), _u10248)) | ~hBOOL(hAPP(hAPP(c_member(_u10247), _u10249), _u10248)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10247), _u10249), c_Big__Operators_Olinorder__class_OMin(_u10247, _u10248)) = c_Big__Operators_Olinorder__class_OMin(_u10247, _u10248)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Omono__inf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Omono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u10250) | ~class_Orderings_Olinorder(_u10251) | ~c_Orderings_Oorder__class_Omono(_u10251, _u10250, _u10252) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10250), hAPP(_u10252, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10251), _u10253), _u10254))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10250), hAPP(_u10252, _u10253)), hAPP(_u10252, _u10254)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u10255) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10255, _u10256, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10257) = _u10257) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u10258) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10258, _u10259, hAPP(c_Nat_OSuc, _u10260), _u10261) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10258, _u10259, _u10260, hAPP(_u10259, _u10261))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u10262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10262), _u10263)) | ( c_Big__Operators_Olinorder__class_OMin(_u10262, _u10263) = hAPP(c_Finite__Set_Ofold1(_u10262, c_Orderings_Oord__class_Omin(_u10262)), _u10263)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10264)), _u10265) = 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), _u10264)), _u10265)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10266), hAPP(c_Nat_OSuc, _u10267)) = 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)), _u10267)), _u10266)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u10268) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10268), _u10269)) | ~hBOOL(hAPP(hAPP(c_member(_u10268), _u10270), _u10269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10268), hAPP(c_Finite__Set_Ofold1(_u10268, c_Orderings_Oord__class_Omin(_u10268)), _u10269)), _u10270)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10273), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10273, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), hAPP(c_Finite__Set_Ofold1(_u10273, c_Orderings_Oord__class_Omin(_u10273)), _u10274))) | ~hBOOL(hAPP(hAPP(c_member(_u10273), _u10271), _u10274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), _u10271)) )).
% 12.21/12.40 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10273), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), hAPP(c_Finite__Set_Ofold1(_u10273, c_Orderings_Oord__class_Omin(_u10273)), _u10274))) | hBOOL(hAPP(hAPP(c_member(_u10273), skolem169(_u10275, _u10274, _u10273)), _u10274)) )).
% 12.21/12.40 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10273), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), hAPP(c_Finite__Set_Ofold1(_u10273, c_Orderings_Oord__class_Omin(_u10273)), _u10274))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), skolem169(_u10275, _u10274, _u10273))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10278, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), hAPP(c_Finite__Set_Ofold1(_u10278, c_Orderings_Oord__class_Omin(_u10278)), _u10279)), _u10280)) | hBOOL(hAPP(hAPP(c_member(_u10278), skolem170(_u10280, _u10279, _u10278)), _u10279)) )).
% 12.21/12.40 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10278, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), hAPP(c_Finite__Set_Ofold1(_u10278, c_Orderings_Oord__class_Omin(_u10278)), _u10279)), _u10280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), skolem170(_u10280, _u10279, _u10278)), _u10280)) )).
% 12.21/12.40 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10278, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10278), _u10277), _u10279)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), _u10277), _u10280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), hAPP(c_Finite__Set_Ofold1(_u10278, c_Orderings_Oord__class_Omin(_u10278)), _u10279)), _u10280)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ( _u10284 = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), hAPP(c_Finite__Set_Ofold1(_u10283, c_Orderings_Oord__class_Omin(_u10283)), _u10284))) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10281), _u10284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), _u10281)) )).
% 12.21/12.40 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ( _u10284 = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), hAPP(c_Finite__Set_Ofold1(_u10283, c_Orderings_Oord__class_Omin(_u10283)), _u10284))) | hBOOL(hAPP(hAPP(c_member(_u10283), skolem171(_u10285, _u10284, _u10283)), _u10284)) )).
% 12.21/12.40 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ( _u10284 = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), hAPP(c_Finite__Set_Ofold1(_u10283, c_Orderings_Oord__class_Omin(_u10283)), _u10284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), skolem171(_u10285, _u10284, _u10283))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( _u10289 = c_Orderings_Obot__class_Obot(tc_fun(_u10288, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), hAPP(c_Finite__Set_Ofold1(_u10288, c_Orderings_Oord__class_Omin(_u10288)), _u10289)), _u10290)) | hBOOL(hAPP(hAPP(c_member(_u10288), skolem172(_u10290, _u10289, _u10288)), _u10289)) )).
% 12.21/12.40 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( _u10289 = c_Orderings_Obot__class_Obot(tc_fun(_u10288, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), hAPP(c_Finite__Set_Ofold1(_u10288, c_Orderings_Oord__class_Omin(_u10288)), _u10289)), _u10290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), skolem172(_u10290, _u10289, _u10288)), _u10290)) )).
% 12.21/12.40 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( _u10289 = c_Orderings_Obot__class_Obot(tc_fun(_u10288, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10288), _u10287), _u10289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), _u10287), _u10290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), hAPP(c_Finite__Set_Ofold1(_u10288, c_Orderings_Oord__class_Omin(_u10288)), _u10289)), _u10290)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u10291) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ( _u10292 = c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10291, hAPP(hAPP(c_Set_Oinsert(_u10291), _u10293), _u10292)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10291), _u10293), c_Big__Operators_Olinorder__class_OMin(_u10291, _u10292))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10294) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10294), _u10295)) | ( _u10296 = c_Orderings_Obot__class_Obot(tc_fun(_u10294, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10294, tc_HOL_Obool)), _u10296), _u10295)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10294), c_Big__Operators_Olinorder__class_OMin(_u10294, _u10296)), c_Big__Operators_Olinorder__class_OMin(_u10294, _u10295)) = c_Big__Operators_Olinorder__class_OMin(_u10294, _u10295)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u10297) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10297), _u10298)) | ( _u10298 = c_Orderings_Obot__class_Obot(tc_fun(_u10297, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10297), _u10299)) | ( _u10299 = c_Orderings_Obot__class_Obot(tc_fun(_u10297, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10297, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10297, tc_HOL_Obool)), _u10298), _u10299)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10297), c_Big__Operators_Olinorder__class_OMin(_u10297, _u10298)), c_Big__Operators_Olinorder__class_OMin(_u10297, _u10299))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10300) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10300), _u10301)) | hBOOL(hAPP(hAPP(c_member(_u10300), _u10302), _u10301)) | ( _u10301 = c_Orderings_Obot__class_Obot(tc_fun(_u10300, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10300, hAPP(hAPP(c_Set_Oinsert(_u10300), _u10302), _u10301)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10300), _u10302), c_Big__Operators_Olinorder__class_OMin(_u10300, _u10301))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u10303) | ( _u10304 = c_Orderings_Obot__class_Obot(tc_fun(_u10303, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10303, tc_HOL_Obool)), _u10304), _u10305)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10303), _u10305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10303), hAPP(c_Finite__Set_Ofold1(_u10303, c_Orderings_Oord__class_Omin(_u10303)), _u10305)), hAPP(c_Finite__Set_Ofold1(_u10303, c_Orderings_Oord__class_Omin(_u10303)), _u10304))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10306), _u10307)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10306, tc_HOL_Obool)), _u10307), hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10306, hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), _u10307)) = _u10308) )).
% 12.21/12.40 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10306), _u10307)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10306, tc_HOL_Obool)), _u10307), hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10306, hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), _u10307)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10306), _u10308), c_Big__Operators_Olinorder__class_OMin(_u10306, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10306, tc_HOL_Obool)), _u10307), hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u10309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10309), _u10310)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10309), _u10311)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10309, tc_HOL_Obool)), _u10310), _u10311) = c_Orderings_Obot__class_Obot(tc_fun(_u10309, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10309), c_Big__Operators_Olinorder__class_OMin(_u10309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10309, tc_HOL_Obool)), _u10310), _u10311))), c_Big__Operators_Olinorder__class_OMin(_u10309, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10309, tc_HOL_Obool)), _u10310), _u10311))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10309), c_Big__Operators_Olinorder__class_OMin(_u10309, _u10310)), c_Big__Operators_Olinorder__class_OMin(_u10309, _u10311))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u10312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10312), _u10313)) | ( _u10313 = c_Orderings_Obot__class_Obot(tc_fun(_u10312, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10312), _u10314)) | ( _u10314 = c_Orderings_Obot__class_Obot(tc_fun(_u10312, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10312, tc_HOL_Obool)), _u10313), _u10314) != c_Orderings_Obot__class_Obot(tc_fun(_u10312, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10312, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10312, tc_HOL_Obool)), _u10313), _u10314)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10312), c_Big__Operators_Olinorder__class_OMin(_u10312, _u10313)), c_Big__Operators_Olinorder__class_OMin(_u10312, _u10314))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10315), _u10316)) | ~hBOOL(hAPP(hAPP(c_member(_u10315), _u10317), _u10316)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10315, tc_HOL_Obool)), _u10316), hAPP(hAPP(c_Set_Oinsert(_u10315), _u10317), c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10315, _u10316) = _u10317) )).
% 12.21/12.40 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10315), _u10316)) | ~hBOOL(hAPP(hAPP(c_member(_u10315), _u10317), _u10316)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10315, tc_HOL_Obool)), _u10316), hAPP(hAPP(c_Set_Oinsert(_u10315), _u10317), c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10315, _u10316) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10315), _u10317), c_Big__Operators_Olinorder__class_OMin(_u10315, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10315, tc_HOL_Obool)), _u10316), hAPP(hAPP(c_Set_Oinsert(_u10315), _u10317), c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10318)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10319)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10319))), 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), _u10318)), c_Int_Onat))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u10322 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10322, _u10324) = _u10324) )).
% 12.21/12.40 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u10323 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10323, _u10325) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u10323), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u10325))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10326) | ~c_Nat__Transfer_Onat__set(_u10327) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10326), _u10327) = 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), _u10326)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10327)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10328) | ~c_Nat__Transfer_Onat__set(_u10329) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10328), _u10329) = 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), _u10328)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10329)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u10330) | ( c_Orderings_Oord_Omax(_u10330, hAPP(c_COMBC(_u10330, _u10330, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10330))) = c_Orderings_Oord__class_Omin(_u10330)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J-1, axiom, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10331) | ~c_Nat__Transfer_Onat__set(_u10332) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10331), _u10332)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10333) | ~c_Nat__Transfer_Onat__set(_u10334) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10333), _u10334)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10338) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10335), _u10338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10335)) )).
% 12.21/12.40 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u10339) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem173(_u10339)), _u10339)) )).
% 12.21/12.40 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u10339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem173(_u10339))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10340)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10341) | ~c_Nat__Transfer_Onat__set(_u10342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10341), _u10342)) | 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), _u10341)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10342))) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10341) | ~c_Nat__Transfer_Onat__set(_u10342) | ~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), _u10341)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10341), _u10342)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10343) | ~c_Nat__Transfer_Onat__set(_u10344) | ( _u10343 != _u10344) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10343) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10344)) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10343) | ~c_Nat__Transfer_Onat__set(_u10344) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10343) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10344)) | ( _u10343 = _u10344) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10345) | ~c_Nat__Transfer_Onat__set(_u10346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10345), _u10346)) | 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), _u10345)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10346))) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10345) | ~c_Nat__Transfer_Onat__set(_u10346) | ~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), _u10345)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10345), _u10346)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10347) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10348), _u10347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10348)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J-1, axiom, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u10349))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10350) | ( 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), _u10350)) = _u10350) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10351)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10351))) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10351))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10351)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10352) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u10352) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10352))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10353) | ~class_Groups_Ocomm__monoid__mult(_u10353) | ~c_Nat__Transfer_Onat__set(_u10354) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10353), _u10355), _u10354) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10353), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10353, tc_Nat_Onat), _u10355), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10354))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u10356) | ( c_Orderings_Oord__class_Omin(_u10356) = c_Orderings_Oord_Omin(_u10356, c_Orderings_Oord__class_Oless__eq(_u10356))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10357) | ~c_Nat__Transfer_Onat__set(_u10358) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10357), _u10358)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10357)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10358))) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10357) | ~c_Nat__Transfer_Onat__set(_u10358) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10357)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10358))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10357), _u10358)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10361), _u10362)) | ( _u10362 = c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10361), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10361), skolem174(_u10362, _u10361)), skolem175(_u10362, _u10361))), hAPP(hAPP(c_Set_Oinsert(_u10361), skolem174(_u10362, _u10361)), hAPP(hAPP(c_Set_Oinsert(_u10361), skolem175(_u10362, _u10361)), c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10361), c_Big__Operators_Olinorder__class_OMin(_u10361, _u10362)), _u10362)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Osize_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10363) | ~c_Nat__Transfer_Ois__nat(_u10364) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10363), _u10364)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10365)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10366) | ~c_Nat__Transfer_Ois__nat(_u10367) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10366), _u10367)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10368) | ~c_Nat__Transfer_Ois__nat(_u10369) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10368, _u10369)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10370) | ~c_Nat__Transfer_Ois__nat(_u10371) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10370), _u10371)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10372) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10372), _u10373)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10374) | ~c_Nat__Transfer_Ois__nat(_u10375) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u10374, _u10375)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10377)) )).
% 12.21/12.40 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)), _u10378)) | c_Nat__Transfer_Ois__nat(_u10378) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10379) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10380), _u10379)) | c_Nat__Transfer_Ois__nat(_u10380) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Int_Oint), _u10384), _u10383) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10382), c_Int_Onat), _u10384)), _u10383))) | hBOOL(hAPP(hAPP(c_member(_u10382), skolem176(_u10384, _u10383, _u10382)), _u10383)) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Int_Oint), _u10384), _u10383) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10382), c_Int_Onat), _u10384)), _u10383))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10384, skolem176(_u10384, _u10383, _u10382))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u10385)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u10385)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10386, _u10387)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10387), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10386), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10390), 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)), _u10392), 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)), _u10390), _u10392)), c_Int_Ointrel)) )).
% 12.21/12.40 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)), _u10391), _u10393)), 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)), _u10391), 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)), _u10393), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10394, _u10395))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u10398) != c_Code__Numeral_OSuc__code__numeral(_u10400)) | ( _u10398 = _u10400) )).
% 12.21/12.40 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u10399 != _u10401) | ( c_Code__Numeral_OSuc__code__numeral(_u10399) = c_Code__Numeral_OSuc__code__numeral(_u10401)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_equiv__intrel-1, axiom, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u10402) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 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(_u10403)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u10404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10404), _u10405), _u10406)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u10404, _u10406, _u10405) = c_Orderings_Obot__class_Obot(tc_fun(_u10404, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10407) | ( hAPP(c_Set_Oimage(_u10407, _u10407, c_Groups_Ouminus__class_Ouminus(_u10407)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10407, _u10408, _u10409)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10407, hAPP(c_Groups_Ouminus__class_Ouminus(_u10407), _u10409), hAPP(c_Groups_Ouminus__class_Ouminus(_u10407), _u10408))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 12.21/12.40 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(_u10410)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u10410) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10415), _u10417)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10419), _u10421))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10415), _u10421) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10419), _u10417)) )).
% 12.21/12.40 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10416), _u10422) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10420), _u10418)) | 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), _u10416), _u10418)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10420), _u10422))), c_Int_Ointrel)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_of__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u10423) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10423), 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), _u10424), _u10425)), 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(_u10423), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10423), _u10424)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10423), _u10425))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_One__int__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_mult ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10426), _u10427)), 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), _u10428), _u10429)), 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), _u10426), _u10428)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10427), _u10429))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10426), _u10429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10427), _u10428)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_le ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10434), _u10436)), 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), _u10438), _u10440)), 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), _u10434), _u10440)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10438), _u10436))) )).
% 12.21/12.40 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), _u10435), _u10441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10439), _u10437))) | 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), _u10435), _u10437)), 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), _u10439), _u10441)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10442, _u10443))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10444, _u10445)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10445), hAPP(c_Nat_OSuc, _u10444))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_minus ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10446), _u10447)), 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), _u10447), _u10446)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Zero__int__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_int__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10448) = 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), _u10448), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_add ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10449), _u10450)), 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), _u10451), _u10452)), 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), _u10449), _u10451)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10450), _u10452))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10453), _u10454)), 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), _u10453), _u10454)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_less ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10459), _u10461)), 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), _u10463), _u10465)), 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), _u10459), _u10465)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10463), _u10461))) )).
% 12.21/12.40 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), _u10460), _u10466)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10464), _u10462))) | 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), _u10460), _u10462)), 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), _u10464), _u10466)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10467) = 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, _u10467)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 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(_u10468)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u10468)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u10471 = 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), skolem177(_u10471)), skolem178(_u10471))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Integ__def-1, axiom, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 12.21/12.40 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, _u10472)), c_Int_OInteg)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u10475) != hAPP(c_Int_ORep__Integ, _u10477)) | ( _u10475 = _u10477) )).
% 12.21/12.40 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u10476 != _u10478) | ( hAPP(c_Int_ORep__Integ, _u10476) = hAPP(c_Int_ORep__Integ, _u10478)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10479)) = _u10479) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u10480) = 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, _u10480)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10482)) | hBOOL(hAPP(hAPP(c_member(_u10481), hAPP(c_Int_Onumber__class_Onumber__of(_u10481), _u10482)), c_Nat_Osemiring__1__class_ONats(_u10481))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u10483) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10483), _u10484), _u10485)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10483, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10483, _u10484, _u10485)), hAPP(hAPP(c_Set_Oinsert(_u10483), _u10485), c_Orderings_Obot__class_Obot(tc_fun(_u10483, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10483, _u10484, _u10485)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10488), _u10490)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10488), _u10490)) )).
% 12.21/12.40 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10489), _u10491)) | 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), _u10489), _u10491)), c_Wellfounded_Oless__than)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10492) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10492), _u10493)) | ~hBOOL(hAPP(hAPP(c_member(_u10492), _u10494), _u10493)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10492, tc_HOL_Obool)), _u10493), hAPP(hAPP(c_Set_Oinsert(_u10492), _u10494), c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10492, c_Orderings_Oord__class_Omin(_u10492), _u10493) = _u10494) )).
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10492) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10492), _u10493)) | ~hBOOL(hAPP(hAPP(c_member(_u10492), _u10494), _u10493)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10492, tc_HOL_Obool)), _u10493), hAPP(hAPP(c_Set_Oinsert(_u10492), _u10494), c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10492, c_Orderings_Oord__class_Omin(_u10492), _u10493) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10492), _u10494), c_Big__Operators_Olattice_OInf__fin(_u10492, c_Orderings_Oord__class_Omin(_u10492), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10492, tc_HOL_Obool)), _u10493), hAPP(hAPP(c_Set_Oinsert(_u10492), _u10494), c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10495, _u10496))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10497, _u10498))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10499), _u10500), _u10501)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10499, _u10501, _u10500) = c_Orderings_Obot__class_Obot(tc_fun(_u10499, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10502) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10502, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10502, _u10503, _u10504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10502), _u10503), _u10504)) )).
% 12.21/12.40 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10502) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10502), _u10503), _u10504)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10502, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10502, _u10503, _u10504)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10505) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10505, _u10506, _u10507) != c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10505), _u10506), _u10507)) )).
% 12.21/12.40 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10505) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10505), _u10506), _u10507)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10505, _u10506, _u10507) = c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u10508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10508), _u10509), _u10510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10508), _u10510), _u10511)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10508, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10508, _u10509, _u10510)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10508, _u10510, _u10511)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10508, _u10509, _u10511)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u10512) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10512, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10512, _u10513, _u10514)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10512, _u10514, _u10515)) = c_Orderings_Obot__class_Obot(tc_fun(_u10512, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pair__less__def-1, axiom, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10516, _u10517)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10517), _u10516)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10518), _u10519)) | ~hBOOL(hAPP(hAPP(c_member(_u10518), _u10520), _u10519)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10518), _u10520), c_Big__Operators_Olattice_OInf__fin(_u10518, c_Orderings_Oord__class_Omin(_u10518), _u10519)) = c_Big__Operators_Olattice_OInf__fin(_u10518, c_Orderings_Oord__class_Omin(_u10518), _u10519)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10521) | ( c_Big__Operators_Olattice_OInf__fin(_u10521, c_Orderings_Oord__class_Omin(_u10521), hAPP(hAPP(c_Set_Oinsert(_u10521), _u10522), c_Orderings_Obot__class_Obot(tc_fun(_u10521, tc_HOL_Obool)))) = _u10522) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10523), _u10524)) | ( c_Big__Operators_Olattice_OInf__fin(_u10523, c_Orderings_Oord__class_Omin(_u10523), _u10524) = hAPP(c_Finite__Set_Ofold1(_u10523, c_Orderings_Oord__class_Omin(_u10523)), _u10524)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u10525) | hBOOL(hAPP(hAPP(c_member(_u10525), c_Groups_Ozero__class_Ozero(_u10525)), c_Nat_Osemiring__1__class_ONats(_u10525))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u10526) | ~hBOOL(hAPP(hAPP(c_member(_u10526), _u10527), c_Nat_Osemiring__1__class_ONats(_u10526))) | ~hBOOL(hAPP(hAPP(c_member(_u10526), _u10528), c_Nat_Osemiring__1__class_ONats(_u10526))) | hBOOL(hAPP(hAPP(c_member(_u10526), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10526), _u10527), _u10528)), c_Nat_Osemiring__1__class_ONats(_u10526))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u10529) | ~hBOOL(hAPP(hAPP(c_member(_u10529), _u10530), c_Nat_Osemiring__1__class_ONats(_u10529))) | ~hBOOL(hAPP(hAPP(c_member(_u10529), _u10531), c_Nat_Osemiring__1__class_ONats(_u10529))) | hBOOL(hAPP(hAPP(c_member(_u10529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10529), _u10530), _u10531)), c_Nat_Osemiring__1__class_ONats(_u10529))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u10532) | hBOOL(hAPP(hAPP(c_member(_u10532), c_Groups_Oone__class_Oone(_u10532)), c_Nat_Osemiring__1__class_ONats(_u10532))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u10533) | hBOOL(hAPP(hAPP(c_member(_u10533), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10533), _u10534)), c_Nat_Osemiring__1__class_ONats(_u10533))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u10535) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u10535), c_Wellfounded_Oless__than)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u10536) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10536, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10536, _u10537, _u10538)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10536, _u10538, _u10539)) = c_Orderings_Obot__class_Obot(tc_fun(_u10536, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10540), _u10541)) | ( _u10541 = c_Orderings_Obot__class_Obot(tc_fun(_u10540, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10540, c_Orderings_Oord__class_Omin(_u10540), hAPP(hAPP(c_Set_Oinsert(_u10540), _u10542), _u10541)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10540), _u10542), c_Big__Operators_Olattice_OInf__fin(_u10540, c_Orderings_Oord__class_Omin(_u10540), _u10541))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10543) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10543), _u10544)) | ( _u10545 = c_Orderings_Obot__class_Obot(tc_fun(_u10543, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10543, tc_HOL_Obool)), _u10545), _u10544)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10543), c_Big__Operators_Olattice_OInf__fin(_u10543, c_Orderings_Oord__class_Omin(_u10543), _u10545)), c_Big__Operators_Olattice_OInf__fin(_u10543, c_Orderings_Oord__class_Omin(_u10543), _u10544)) = c_Big__Operators_Olattice_OInf__fin(_u10543, c_Orderings_Oord__class_Omin(_u10543), _u10544)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10546), _u10547)) | ( _u10547 = c_Orderings_Obot__class_Obot(tc_fun(_u10546, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10546), _u10548)) | ( _u10548 = c_Orderings_Obot__class_Obot(tc_fun(_u10546, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10546, c_Orderings_Oord__class_Omin(_u10546), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10546, tc_HOL_Obool)), _u10547), _u10548)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10546), c_Big__Operators_Olattice_OInf__fin(_u10546, c_Orderings_Oord__class_Omin(_u10546), _u10547)), c_Big__Operators_Olattice_OInf__fin(_u10546, c_Orderings_Oord__class_Omin(_u10546), _u10548))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10549, _u10550)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10550), _u10549))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10551), _u10552)) | hBOOL(hAPP(hAPP(c_member(_u10551), _u10553), _u10552)) | ( _u10552 = c_Orderings_Obot__class_Obot(tc_fun(_u10551, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10551, c_Orderings_Oord__class_Omin(_u10551), hAPP(hAPP(c_Set_Oinsert(_u10551), _u10553), _u10552)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10551), _u10553), c_Big__Operators_Olattice_OInf__fin(_u10551, c_Orderings_Oord__class_Omin(_u10551), _u10552))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u10554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10554), _u10555), _u10556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10554), _u10556), _u10557)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10554, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10554, _u10555, _u10556)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10554, _u10556, _u10557)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10554, _u10555, _u10557)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10558), _u10559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10558, tc_HOL_Obool)), _u10559), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10558, c_Orderings_Oord__class_Omin(_u10558), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), _u10559)) = _u10560) )).
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10558), _u10559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10558, tc_HOL_Obool)), _u10559), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10558, c_Orderings_Oord__class_Omin(_u10558), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), _u10559)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10558), _u10560), c_Big__Operators_Olattice_OInf__fin(_u10558, c_Orderings_Oord__class_Omin(_u10558), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10558, tc_HOL_Obool)), _u10559), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u10561) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10561), _u10562)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10561), _u10563)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10561, tc_HOL_Obool)), _u10562), _u10563) = c_Orderings_Obot__class_Obot(tc_fun(_u10561, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10561), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10561, tc_HOL_Obool)), _u10562), _u10563))), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10561, tc_HOL_Obool)), _u10562), _u10563))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10561), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), _u10562)), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), _u10563))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u10564) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10564), _u10565)) | ( _u10565 = c_Orderings_Obot__class_Obot(tc_fun(_u10564, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10564), _u10566)) | ( _u10566 = c_Orderings_Obot__class_Obot(tc_fun(_u10564, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10564, tc_HOL_Obool)), _u10565), _u10566) != c_Orderings_Obot__class_Obot(tc_fun(_u10564, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10564, c_Orderings_Oord__class_Omin(_u10564), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10564, tc_HOL_Obool)), _u10565), _u10566)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10564), c_Big__Operators_Olattice_OInf__fin(_u10564, c_Orderings_Oord__class_Omin(_u10564), _u10565)), c_Big__Operators_Olattice_OInf__fin(_u10564, c_Orderings_Oord__class_Omin(_u10564), _u10566))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u10567, _u10568, _u10569) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u10567), _u10567), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u10567, c_Wellfounded_Oless__than, _u10569)), hAPP(hAPP(c_COMBS(_u10567, _u10567, tc_prod(tc_Nat_Onat, _u10567)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10567, tc_prod(tc_Nat_Onat, _u10567)), _u10567), c_Product__Type_OPair(tc_Nat_Onat, _u10567)), _u10568)), c_COMBI(_u10567)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10572), _u10573)) | ( _u10573 = c_Orderings_Obot__class_Obot(tc_fun(_u10572, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10572), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10572), skolem179(_u10573, _u10572)), skolem180(_u10573, _u10572))), hAPP(hAPP(c_Set_Oinsert(_u10572), skolem179(_u10573, _u10572)), hAPP(hAPP(c_Set_Oinsert(_u10572), skolem180(_u10573, _u10572)), c_Orderings_Obot__class_Obot(tc_fun(_u10572, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10572), c_Big__Operators_Olattice_OInf__fin(_u10572, c_Orderings_Oord__class_Omin(_u10572), _u10573)), _u10573)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u10574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10574), _u10575)) | ( _u10575 = c_Orderings_Obot__class_Obot(tc_fun(_u10574, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10574), _u10576), c_Big__Operators_Olattice_OInf__fin(_u10574, c_Orderings_Oord__class_Omin(_u10574), _u10575)) = c_Big__Operators_Olattice_OInf__fin(_u10574, c_Orderings_Oord__class_Omin(_u10574), hAPP(c_Set_OCollect(_u10574), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_HOL_Obool), tc_HOL_Obool, _u10574), c_HOL_OEx(_u10574)), hAPP(hAPP(c_COMBC(_u10574, tc_fun(_u10574, tc_HOL_Obool), tc_fun(_u10574, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10574, tc_HOL_Obool), tc_fun(_u10574, tc_HOL_Obool)), _u10574), c_COMBS(_u10574, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_HOL_Obool), tc_fun(_u10574, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10574), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10574), c_fconj)), hAPP(hAPP(c_COMBC(_u10574, tc_fun(_u10574, _u10574), tc_fun(_u10574, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_HOL_Obool), tc_fun(tc_fun(_u10574, _u10574), tc_fun(_u10574, tc_HOL_Obool)), _u10574), c_COMBB(_u10574, tc_HOL_Obool, _u10574)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u10574), _u10576))))), hAPP(hAPP(c_COMBC(_u10574, tc_fun(_u10574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10574)), _u10575)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u10577) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10577), _u10578)) | ( _u10578 = c_Orderings_Obot__class_Obot(tc_fun(_u10577, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10577), _u10579)) | ( _u10579 = c_Orderings_Obot__class_Obot(tc_fun(_u10577, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10577), c_Big__Operators_Olattice_OInf__fin(_u10577, c_Orderings_Oord__class_Omin(_u10577), _u10578)), c_Big__Operators_Olattice_OInf__fin(_u10577, c_Orderings_Oord__class_Omin(_u10577), _u10579)) = c_Big__Operators_Olattice_OInf__fin(_u10577, c_Orderings_Oord__class_Omin(_u10577), hAPP(c_Set_OCollect(_u10577), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool, _u10577), c_HOL_OEx(_u10577)), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_HOL_Obool), _u10577), hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool, _u10577), c_HOL_OEx(_u10577))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool))), tc_fun(tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), _u10577), c_COMBS(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u10577, tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool))), _u10577), hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool)), _u10577), c_COMBS(_u10577, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u10577), hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10577), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10577), c_fconj))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_fun(_u10577, _u10577)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10577, _u10577), tc_fun(_u10577, tc_HOL_Obool)), tc_fun(tc_fun(_u10577, tc_fun(_u10577, _u10577)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), _u10577), c_COMBB(tc_fun(_u10577, _u10577), tc_fun(_u10577, tc_HOL_Obool), _u10577)), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_fun(tc_fun(_u10577, _u10577), tc_fun(_u10577, tc_HOL_Obool)), _u10577), c_COMBB(_u10577, tc_HOL_Obool, _u10577)), c_fequal))), c_Orderings_Oord__class_Omax(_u10577)))))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool)), _u10577), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10577)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10577), c_fconj), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10577)), _u10578)))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10577)), _u10579)))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition__Integ-1, axiom, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10580) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), _u10581), _u10582)), _u10583) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10580), _u10581), _u10583)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10580), _u10582), _u10583))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u10584) | ~class_Orderings_Olinorder(_u10584) | ( c_Lattices_Osemilattice__sup__class_Osup(_u10584) = c_Orderings_Oord__class_Omax(_u10584)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u10585) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10585), _u10586), _u10586) = _u10586) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u10587) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), _u10588), _u10589)), _u10590) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), _u10588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), _u10589), _u10590))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u10591) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), _u10592), _u10593)), _u10594) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), _u10592), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), _u10593), _u10594))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10595) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10596), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10597), _u10598)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10596), _u10598))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10599) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10600), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10601), _u10602)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10601), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10600), _u10602))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10603) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10603), _u10604), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10603), _u10604), _u10605)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10603), _u10604), _u10605)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10606) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10606), _u10607), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10606), _u10607), _u10608)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10606), _u10607), _u10608)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10609) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10609), _u10610), _u10611) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10609), _u10611), _u10610)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u10612) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10612), _u10613), _u10614) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10612), _u10614), _u10613)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u10615) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10615), _u10616), _u10616) = _u10616) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10617)), hAPP(c_Nat_OSuc, _u10618)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10617), _u10618))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u10619) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10619), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10619), _u10620), _u10621)), _u10622) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10619), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10619), _u10620), _u10622)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10619), _u10621), _u10622))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__of__mono ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u10623) | ~class_Orderings_Olinorder(_u10624) | ~c_Orderings_Oorder__class_Omono(_u10624, _u10623, _u10625) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10623), hAPP(_u10625, _u10626)), hAPP(_u10625, _u10627)) = hAPP(_u10625, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10624), _u10626), _u10627))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u10628) | c_Finite__Set_Ofun__left__comm__idem(_u10628, _u10628, c_Orderings_Oord__class_Omax(_u10628)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10629), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10629) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10630) = _u10630) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u10631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10631), _u10632), _u10633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10631), _u10632), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10631), _u10634), _u10633))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u10635) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10635), _u10636), _u10637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10635), _u10636), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10635), _u10637), _u10638))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u10639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10639), _u10640), _u10641)), _u10642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10640), _u10642)) )).
% 12.21/12.40 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u10639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10639), _u10640), _u10641)), _u10642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10641), _u10642)) )).
% 12.21/12.40 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u10639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10640), _u10642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10641), _u10642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10639), _u10640), _u10641)), _u10642)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u10643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10643), _u10645), _u10646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10646)) )).
% 12.21/12.40 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u10643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10643), _u10645), _u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10645)) )).
% 12.21/12.40 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u10643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10643), _u10645), _u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10646)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u10647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10647), _u10649), _u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10650)) )).
% 12.21/12.40 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u10647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10647), _u10649), _u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10649)) )).
% 12.21/12.40 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u10647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10647), _u10649), _u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10650)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u10651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10651), _u10652), _u10653)), _u10654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), _u10652), _u10654)) )).
% 12.21/12.40 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u10651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10651), _u10652), _u10653)), _u10654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), _u10653), _u10654)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u10655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10655), _u10656), _u10657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10655), _u10658), _u10659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10655), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10655), _u10656), _u10658)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10655), _u10657), _u10659))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), _u10662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10663), _u10662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10660), _u10661), _u10663)), _u10662)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10667), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10664), _u10665), _u10667)), _u10666)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10669), _u10670)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10668), _u10670), _u10669) = _u10670) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u10671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10671), _u10672), _u10673)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10671), _u10672), _u10673) = _u10673) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u10674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10674), _u10675), _u10676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10674), _u10675), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10674), _u10677), _u10676))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u10678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10678), _u10679), _u10680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10678), _u10679), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10678), _u10680), _u10681))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10682), _u10683), _u10684)), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10683), _u10685)) )).
% 12.21/12.40 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10682), _u10683), _u10684)), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10684), _u10685)) )).
% 12.21/12.40 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10683), _u10685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10684), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10682), _u10683), _u10684)), _u10685)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u10686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10686), _u10687), _u10688)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10686), _u10687), _u10688) = _u10688) )).
% 12.21/12.40 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u10686) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10686), _u10687), _u10688) != _u10688) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10686), _u10687), _u10688)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u10689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10689), _u10690), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10689), _u10691), _u10690))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u10692) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10692), _u10693), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10692), _u10693), _u10694))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u10695) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10695), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10695), _u10696), _u10697)), _u10698) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10695), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10695), _u10696), _u10698)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10695), _u10697), _u10698))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u10699) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10699), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10699), _u10700), _u10701)), _u10702) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10699), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10699), _u10700), _u10702)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10699), _u10701), _u10702))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u10703) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10703), _u10704), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10703), _u10705), _u10706)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10703), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10703), _u10704), _u10705)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10703), _u10704), _u10706))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u10707) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), _u10708), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10707), _u10709), _u10710)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10707), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), _u10708), _u10709)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), _u10708), _u10710))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10711) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10711), _u10712), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10711), _u10712), _u10713)) = _u10712) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10714) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10714), _u10715), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10714), _u10715), _u10716)) = _u10715) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u10717) | ~class_Orderings_Oord(_u10717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719)) )).
% 12.21/12.40 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u10717) | ~class_Orderings_Oord(_u10717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u10720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10720), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), _u10721), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10720), _u10722), _u10723))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10720), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), _u10721), _u10722)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), _u10721), _u10723)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u10724) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10724), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10724), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10724), _u10725), _u10726)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10724), _u10725), _u10727))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10724), _u10725), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10724), _u10726), _u10727)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10728) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10728), _u10729), _u10730)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10728), hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10729)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10730))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10731) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10731), _u10732), _u10733)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10731), hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10732)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10733))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 12.21/12.40 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), _u10734), _u10735)), _u10735) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10734), _u10735)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10736)), _u10737) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10736), 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), _u10736)), _u10737)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10738), hAPP(c_Nat_OSuc, _u10739)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10739), 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)), _u10739)), _u10738)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u10740) | ( c_Orderings_Oord__class_Omax(_u10740) = c_Orderings_Oord_Omax(_u10740, c_Orderings_Oord__class_Oless__eq(_u10740))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10741), _u10742)) | ~hBOOL(hAPP(hAPP(c_member(_u10741), _u10743), _u10742)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10741), _u10743), c_Big__Operators_Olinorder__class_OMax(_u10741, _u10742)) = c_Big__Operators_Olinorder__class_OMax(_u10741, _u10742)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Omono__sup ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Omono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u10744) | ~class_Orderings_Olinorder(_u10745) | ~c_Orderings_Oorder__class_Omono(_u10745, _u10744, _u10746) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10744), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10744), hAPP(_u10746, _u10747)), hAPP(_u10746, _u10748))), hAPP(_u10746, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10745), _u10747), _u10748)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10749) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10749, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, _u10750, _u10751)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, _u10752, _u10753)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10749), _u10750), _u10752), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10749), _u10751), _u10753))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u10754) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10754, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10754, _u10755, _u10756)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10754, _u10757, _u10758)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10754, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10754), _u10755), _u10757), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10754), _u10756), _u10758))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u10759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10759), _u10760)) | ( c_Big__Operators_Olinorder__class_OMax(_u10759, _u10760) = hAPP(c_Finite__Set_Ofold1(_u10759, c_Orderings_Oord__class_Omax(_u10759)), _u10760)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u10761) | ( c_Orderings_Oord_Omin(_u10761, hAPP(c_COMBC(_u10761, _u10761, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10761))) = c_Orderings_Oord__class_Omax(_u10761)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u10762) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10762), _u10763)) | ( _u10763 = c_Orderings_Obot__class_Obot(tc_fun(_u10762, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10762, hAPP(hAPP(c_Set_Oinsert(_u10762), _u10764), _u10763)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10762), _u10764), c_Big__Operators_Olinorder__class_OMax(_u10762, _u10763))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10765), _u10766)) | ( _u10767 = c_Orderings_Obot__class_Obot(tc_fun(_u10765, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10765, tc_HOL_Obool)), _u10767), _u10766)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10765), c_Big__Operators_Olinorder__class_OMax(_u10765, _u10767)), c_Big__Operators_Olinorder__class_OMax(_u10765, _u10766)) = c_Big__Operators_Olinorder__class_OMax(_u10765, _u10766)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10768) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10768), _u10769)) | ~hBOOL(hAPP(hAPP(c_member(_u10768), _u10770), _u10769)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10768), _u10770), c_Big__Operators_Olattice_OInf__fin(_u10768, c_Orderings_Oord__class_Omin(_u10768), _u10769)) = _u10770) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u10771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10771), _u10772)) | ( _u10772 = c_Orderings_Obot__class_Obot(tc_fun(_u10771, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10771), _u10773)) | ( _u10773 = c_Orderings_Obot__class_Obot(tc_fun(_u10771, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10771, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10771, tc_HOL_Obool)), _u10772), _u10773)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10771), c_Big__Operators_Olinorder__class_OMax(_u10771, _u10772)), c_Big__Operators_Olinorder__class_OMax(_u10771, _u10773))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10774), _u10775)) | hBOOL(hAPP(hAPP(c_member(_u10774), _u10776), _u10775)) | ( _u10775 = c_Orderings_Obot__class_Obot(tc_fun(_u10774, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10774, hAPP(hAPP(c_Set_Oinsert(_u10774), _u10776), _u10775)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10774), _u10776), c_Big__Operators_Olinorder__class_OMax(_u10774, _u10775))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10777), _u10778)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10777, tc_HOL_Obool)), _u10778), hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10777, hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), _u10778)) = _u10779) )).
% 12.21/12.40 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10777), _u10778)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10777, tc_HOL_Obool)), _u10778), hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10777, hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), _u10778)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10777), _u10779), c_Big__Operators_Olinorder__class_OMax(_u10777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10777, tc_HOL_Obool)), _u10778), hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u10780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10780), _u10781)) | ( _u10781 = c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10780), _u10782)) | ( _u10782 = c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10780, tc_HOL_Obool)), _u10781), _u10782) != c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10780, tc_HOL_Obool)), _u10781), _u10782)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10780), c_Big__Operators_Olinorder__class_OMax(_u10780, _u10781)), c_Big__Operators_Olinorder__class_OMax(_u10780, _u10782))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u10783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10783), _u10784)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10783), _u10785)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10783, tc_HOL_Obool)), _u10784), _u10785) = c_Orderings_Obot__class_Obot(tc_fun(_u10783, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10783), c_Big__Operators_Olinorder__class_OMax(_u10783, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10783, tc_HOL_Obool)), _u10784), _u10785))), c_Big__Operators_Olinorder__class_OMax(_u10783, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10783, tc_HOL_Obool)), _u10784), _u10785))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10783), c_Big__Operators_Olinorder__class_OMax(_u10783, _u10784)), c_Big__Operators_Olinorder__class_OMax(_u10783, _u10785))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10786), _u10787)) | ~hBOOL(hAPP(hAPP(c_member(_u10786), _u10788), _u10787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10786, tc_HOL_Obool)), _u10787), hAPP(hAPP(c_Set_Oinsert(_u10786), _u10788), c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10786, _u10787) = _u10788) )).
% 12.21/12.40 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10786), _u10787)) | ~hBOOL(hAPP(hAPP(c_member(_u10786), _u10788), _u10787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10786, tc_HOL_Obool)), _u10787), hAPP(hAPP(c_Set_Oinsert(_u10786), _u10788), c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10786, _u10787) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10786), _u10788), c_Big__Operators_Olinorder__class_OMax(_u10786, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10786, tc_HOL_Obool)), _u10787), hAPP(hAPP(c_Set_Oinsert(_u10786), _u10788), c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__Suc__number__of-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10789)), hAPP(c_Nat_OSuc, _u10790)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10789))), 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, _u10790))), 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)), _u10790))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10792)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10792))), 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, _u10791))), 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), _u10791)), c_Int_Onat))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u10793, _u10794, _u10795, _u10796, _u10797) | ( hAPP(c_Set_Oimage(_u10794, _u10793, _u10796), _u10797) = c_Orderings_Otop__class_Otop(tc_fun(_u10793, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u10798, _u10799, _u10800, _u10801, _u10802) | ( hAPP(c_Set_Oimage(_u10798, _u10799, _u10800), c_Orderings_Otop__class_Otop(tc_fun(_u10798, tc_HOL_Obool))) = _u10802) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u10803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10803), _u10804)) | ( _u10804 = c_Orderings_Obot__class_Obot(tc_fun(_u10803, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10803), _u10805)) | ( _u10805 = c_Orderings_Obot__class_Obot(tc_fun(_u10803, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10803), c_Big__Operators_Olattice_OSup__fin(_u10803, c_Orderings_Oord__class_Omax(_u10803), _u10804)), c_Big__Operators_Olattice_OSup__fin(_u10803, c_Orderings_Oord__class_Omax(_u10803), _u10805)) = c_Big__Operators_Olattice_OSup__fin(_u10803, c_Orderings_Oord__class_Omax(_u10803), hAPP(c_Set_OCollect(_u10803), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool, _u10803), c_HOL_OEx(_u10803)), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_HOL_Obool), _u10803), hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool, _u10803), c_HOL_OEx(_u10803))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool))), tc_fun(tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), _u10803), c_COMBS(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u10803, tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool))), _u10803), hAPP(c_COMBB(tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool)), _u10803), c_COMBS(_u10803, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u10803), hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10803), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10803), c_fconj))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_fun(_u10803, _u10803)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10803, _u10803), tc_fun(_u10803, tc_HOL_Obool)), tc_fun(tc_fun(_u10803, tc_fun(_u10803, _u10803)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), _u10803), c_COMBB(tc_fun(_u10803, _u10803), tc_fun(_u10803, tc_HOL_Obool), _u10803)), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_fun(tc_fun(_u10803, _u10803), tc_fun(_u10803, tc_HOL_Obool)), _u10803), c_COMBB(_u10803, tc_HOL_Obool, _u10803)), c_fequal))), c_Orderings_Oord__class_Omin(_u10803)))))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool)), _u10803), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10803)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10803), c_fconj), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10803)), _u10804)))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10803)), _u10805)))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10806), _u10807)) | ~hBOOL(hAPP(hAPP(c_member(_u10806), _u10808), _u10807)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10806), _u10808), c_Big__Operators_Olattice_OSup__fin(_u10806, c_Orderings_Oord__class_Omax(_u10806), _u10807)) = c_Big__Operators_Olattice_OSup__fin(_u10806, c_Orderings_Oord__class_Omax(_u10806), _u10807)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u10809) | ( c_Big__Operators_Olattice_OSup__fin(_u10809, c_Orderings_Oord__class_Omax(_u10809), hAPP(hAPP(c_Set_Oinsert(_u10809), _u10810), c_Orderings_Obot__class_Obot(tc_fun(_u10809, tc_HOL_Obool)))) = _u10810) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u10811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10811), _u10812)) | ( c_Big__Operators_Olattice_OSup__fin(_u10811, c_Orderings_Oord__class_Omax(_u10811), _u10812) = hAPP(c_Finite__Set_Ofold1(_u10811, c_Orderings_Oord__class_Omax(_u10811)), _u10812)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u10813, _u10814, _u10815, _u10816, _u10817) | ( hAPP(_u10815, _u10818) != hAPP(_u10815, _u10819)) | ( _u10818 = _u10819) )).
% 12.21/12.40 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u10813, _u10814, _u10815, _u10816, _u10817) | ( _u10818 != _u10819) | ( hAPP(_u10815, _u10818) = hAPP(_u10815, _u10819)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u10823, hAPP(_u10822, _u10825)) = _u10825) | ~c_Typedef_Otype__definition(_u10820, _u10821, _u10822, _u10823, _u10824) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10826) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10826), _u10827)) | ( _u10827 = c_Orderings_Obot__class_Obot(tc_fun(_u10826, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10826, c_Orderings_Oord__class_Omax(_u10826), hAPP(hAPP(c_Set_Oinsert(_u10826), _u10828), _u10827)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10826), _u10828), c_Big__Operators_Olattice_OSup__fin(_u10826, c_Orderings_Oord__class_Omax(_u10826), _u10827))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10829), _u10830)) | ( _u10831 = c_Orderings_Obot__class_Obot(tc_fun(_u10829, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10829, tc_HOL_Obool)), _u10831), _u10830)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10829), c_Big__Operators_Olattice_OSup__fin(_u10829, c_Orderings_Oord__class_Omax(_u10829), _u10831)), c_Big__Operators_Olattice_OSup__fin(_u10829, c_Orderings_Oord__class_Omax(_u10829), _u10830)) = c_Big__Operators_Olattice_OSup__fin(_u10829, c_Orderings_Oord__class_Omax(_u10829), _u10830)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u10832) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10832), _u10833)) | ~hBOOL(hAPP(hAPP(c_member(_u10832), _u10834), _u10833)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10832), _u10834), c_Big__Operators_Olattice_OSup__fin(_u10832, c_Orderings_Oord__class_Omax(_u10832), _u10833)) = _u10834) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u10835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10835), _u10836)) | ( _u10836 = c_Orderings_Obot__class_Obot(tc_fun(_u10835, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10835), _u10837)) | ( _u10837 = c_Orderings_Obot__class_Obot(tc_fun(_u10835, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10835, c_Orderings_Oord__class_Omax(_u10835), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10835, tc_HOL_Obool)), _u10836), _u10837)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10835), c_Big__Operators_Olattice_OSup__fin(_u10835, c_Orderings_Oord__class_Omax(_u10835), _u10836)), c_Big__Operators_Olattice_OSup__fin(_u10835, c_Orderings_Oord__class_Omax(_u10835), _u10837))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u10838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10838), _u10839)) | hBOOL(hAPP(hAPP(c_member(_u10838), _u10840), _u10839)) | ( _u10839 = c_Orderings_Obot__class_Obot(tc_fun(_u10838, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10838, c_Orderings_Oord__class_Omax(_u10838), hAPP(hAPP(c_Set_Oinsert(_u10838), _u10840), _u10839)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10838), _u10840), c_Big__Operators_Olattice_OSup__fin(_u10838, c_Orderings_Oord__class_Omax(_u10838), _u10839))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u10841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10841), _u10842)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10841, tc_HOL_Obool)), _u10842), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10841, c_Orderings_Oord__class_Omax(_u10841), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), _u10842)) = _u10843) )).
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u10841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10841), _u10842)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10841, tc_HOL_Obool)), _u10842), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10841, c_Orderings_Oord__class_Omax(_u10841), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), _u10842)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10841), _u10843), c_Big__Operators_Olattice_OSup__fin(_u10841, c_Orderings_Oord__class_Omax(_u10841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10841, tc_HOL_Obool)), _u10842), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u10844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10844), _u10845)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10844), _u10846)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10844, tc_HOL_Obool)), _u10845), _u10846) = c_Orderings_Obot__class_Obot(tc_fun(_u10844, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10844), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10844, tc_HOL_Obool)), _u10845), _u10846))), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10844, tc_HOL_Obool)), _u10845), _u10846))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10844), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), _u10845)), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), _u10846))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u10847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10847), _u10848)) | ( _u10848 = c_Orderings_Obot__class_Obot(tc_fun(_u10847, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10847), _u10849)) | ( _u10849 = c_Orderings_Obot__class_Obot(tc_fun(_u10847, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10847, tc_HOL_Obool)), _u10848), _u10849) != c_Orderings_Obot__class_Obot(tc_fun(_u10847, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10847, c_Orderings_Oord__class_Omax(_u10847), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10847, tc_HOL_Obool)), _u10848), _u10849)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10847), c_Big__Operators_Olattice_OSup__fin(_u10847, c_Orderings_Oord__class_Omax(_u10847), _u10848)), c_Big__Operators_Olattice_OSup__fin(_u10847, c_Orderings_Oord__class_Omax(_u10847), _u10849))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u10850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10850), _u10851)) | ~hBOOL(hAPP(hAPP(c_member(_u10850), _u10852), _u10851)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10850, tc_HOL_Obool)), _u10851), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10852), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10850, c_Orderings_Oord__class_Omax(_u10850), _u10851) = _u10852) )).
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u10850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10850), _u10851)) | ~hBOOL(hAPP(hAPP(c_member(_u10850), _u10852), _u10851)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10850, tc_HOL_Obool)), _u10851), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10852), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10850, c_Orderings_Oord__class_Omax(_u10850), _u10851) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10850), _u10852), c_Big__Operators_Olattice_OSup__fin(_u10850, c_Orderings_Oord__class_Omax(_u10850), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10850, tc_HOL_Obool)), _u10851), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10852), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u10853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10853), _u10854)) | ( _u10854 = c_Orderings_Obot__class_Obot(tc_fun(_u10853, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10853), c_Big__Operators_Olattice_OInf__fin(_u10853, c_Orderings_Oord__class_Omin(_u10853), _u10854)), c_Big__Operators_Olattice_OSup__fin(_u10853, c_Orderings_Oord__class_Omax(_u10853), _u10854))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u10855, _u10856, _u10857, _u10858, _u10859) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10860), _u10859)) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10861), _u10859)) | ( hAPP(_u10858, _u10860) != hAPP(_u10858, _u10861)) | ( _u10860 = _u10861) )).
% 12.21/12.40 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u10855, _u10856, _u10857, _u10858, _u10859) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10860), _u10859)) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10861), _u10859)) | ( _u10860 != _u10861) | ( hAPP(_u10858, _u10860) = hAPP(_u10858, _u10861)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10863), _u10867), _u10866)) | ( hAPP(_u10864, hAPP(_u10865, _u10867)) = _u10867) | ~c_Typedef_Otype__definition(_u10862, _u10863, _u10864, _u10865, _u10866) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10869), hAPP(_u10870, _u10873)), _u10872)) | ~c_Typedef_Otype__definition(_u10868, _u10869, _u10870, _u10871, _u10872) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u10874) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10874), _u10875)) | ( _u10875 = c_Orderings_Obot__class_Obot(tc_fun(_u10874, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10874), _u10876), c_Big__Operators_Olattice_OSup__fin(_u10874, c_Orderings_Oord__class_Omax(_u10874), _u10875)) = c_Big__Operators_Olattice_OSup__fin(_u10874, c_Orderings_Oord__class_Omax(_u10874), hAPP(c_Set_OCollect(_u10874), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_HOL_Obool), tc_HOL_Obool, _u10874), c_HOL_OEx(_u10874)), hAPP(hAPP(c_COMBC(_u10874, tc_fun(_u10874, tc_HOL_Obool), tc_fun(_u10874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10874, tc_HOL_Obool), tc_fun(_u10874, tc_HOL_Obool)), _u10874), c_COMBS(_u10874, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_HOL_Obool), tc_fun(_u10874, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10874), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10874), c_fconj)), hAPP(hAPP(c_COMBC(_u10874, tc_fun(_u10874, _u10874), tc_fun(_u10874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_HOL_Obool), tc_fun(tc_fun(_u10874, _u10874), tc_fun(_u10874, tc_HOL_Obool)), _u10874), c_COMBB(_u10874, tc_HOL_Obool, _u10874)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u10874), _u10876))))), hAPP(hAPP(c_COMBC(_u10874, tc_fun(_u10874, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10874)), _u10875)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10879) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10879), _u10880)) | ( _u10880 = c_Orderings_Obot__class_Obot(tc_fun(_u10879, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10879), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10879), skolem181(_u10880, _u10879)), skolem182(_u10880, _u10879))), hAPP(hAPP(c_Set_Oinsert(_u10879), skolem181(_u10880, _u10879)), hAPP(hAPP(c_Set_Oinsert(_u10879), skolem182(_u10880, _u10879)), c_Orderings_Obot__class_Obot(tc_fun(_u10879, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10879), c_Big__Operators_Olattice_OSup__fin(_u10879, c_Orderings_Oord__class_Omax(_u10879), _u10880)), _u10880)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10883), _u10884)) | ( _u10884 = c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10883), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10883), skolem183(_u10884, _u10883)), skolem184(_u10884, _u10883))), hAPP(hAPP(c_Set_Oinsert(_u10883), skolem183(_u10884, _u10883)), hAPP(hAPP(c_Set_Oinsert(_u10883), skolem184(_u10884, _u10883)), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10883), c_Big__Operators_Olinorder__class_OMax(_u10883, _u10884)), _u10884)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10887) | ( hAPP(_u10888, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10887), skolem185(_u10889, _u10888, _u10887)), skolem186(_u10889, _u10888, _u10887))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10887), hAPP(_u10888, skolem185(_u10889, _u10888, _u10887))), hAPP(_u10888, skolem186(_u10889, _u10888, _u10887)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10887), _u10889)) | ( _u10889 = c_Orderings_Obot__class_Obot(tc_fun(_u10887, tc_HOL_Obool))) | ( hAPP(_u10888, c_Big__Operators_Olattice_OSup__fin(_u10887, c_Orderings_Oord__class_Omax(_u10887), _u10889)) = c_Big__Operators_Olattice_OSup__fin(_u10887, c_Orderings_Oord__class_Omax(_u10887), hAPP(c_Set_Oimage(_u10887, _u10887, _u10888), _u10889))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10892) | ( hAPP(_u10893, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10892), skolem187(_u10894, _u10893, _u10892)), skolem188(_u10894, _u10893, _u10892))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10892), hAPP(_u10893, skolem187(_u10894, _u10893, _u10892))), hAPP(_u10893, skolem188(_u10894, _u10893, _u10892)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10892), _u10894)) | ( _u10894 = c_Orderings_Obot__class_Obot(tc_fun(_u10892, tc_HOL_Obool))) | ( hAPP(_u10893, c_Big__Operators_Olattice_OInf__fin(_u10892, c_Orderings_Oord__class_Omin(_u10892), _u10894)) = c_Big__Operators_Olattice_OInf__fin(_u10892, c_Orderings_Oord__class_Omin(_u10892), hAPP(c_Set_Oimage(_u10892, _u10892, _u10893), _u10894))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10897) | ( hAPP(_u10898, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10897), skolem189(_u10899, _u10898, _u10897)), skolem190(_u10899, _u10898, _u10897))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10897), hAPP(_u10898, skolem189(_u10899, _u10898, _u10897))), hAPP(_u10898, skolem190(_u10899, _u10898, _u10897)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10897), _u10899)) | ( _u10899 = c_Orderings_Obot__class_Obot(tc_fun(_u10897, tc_HOL_Obool))) | ( hAPP(_u10898, c_Big__Operators_Olinorder__class_OMax(_u10897, _u10899)) = c_Big__Operators_Olinorder__class_OMax(_u10897, hAPP(c_Set_Oimage(_u10897, _u10897, _u10898), _u10899))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10902) | ( hAPP(_u10903, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10902), skolem191(_u10904, _u10903, _u10902)), skolem192(_u10904, _u10903, _u10902))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10902), hAPP(_u10903, skolem191(_u10904, _u10903, _u10902))), hAPP(_u10903, skolem192(_u10904, _u10903, _u10902)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10902), _u10904)) | ( _u10904 = c_Orderings_Obot__class_Obot(tc_fun(_u10902, tc_HOL_Obool))) | ( hAPP(_u10903, c_Big__Operators_Olinorder__class_OMin(_u10902, _u10904)) = c_Big__Operators_Olinorder__class_OMin(_u10902, hAPP(c_Set_Oimage(_u10902, _u10902, _u10903), _u10904))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10909)) | ~hBOOL(hAPP(_u10908, _u10906)) | hBOOL(hAPP(_u10908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10909), _u10907)))) | hBOOL(hAPP(_u10908, skolem193(_u10909, _u10908, _u10907))) )).
% 12.21/12.40 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)), _u10907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10909)) | ~hBOOL(hAPP(_u10908, _u10906)) | hBOOL(hAPP(_u10908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10909), _u10907)))) | ~hBOOL(hAPP(_u10908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem193(_u10909, _u10908, _u10907)), _u10907))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_negD ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10911), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10911 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem194(_u10911))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10916)) | ~hBOOL(hAPP(_u10915, _u10913)) | hBOOL(hAPP(_u10915, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10916), _u10914)))) | hBOOL(hAPP(_u10915, skolem195(_u10916, _u10915, _u10914))) )).
% 12.21/12.40 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)), _u10914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10916)) | ~hBOOL(hAPP(_u10915, _u10913)) | hBOOL(hAPP(_u10915, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10916), _u10914)))) | ~hBOOL(hAPP(_u10915, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem195(_u10916, _u10915, _u10914)), _u10914))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10918) | ~c_Fun_Oinj__on(_u10919, _u10920, _u10921, _u10922) | ( _u10923 != hAPP(c_Set_Oimage(_u10919, _u10920, _u10921), _u10922)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10920, _u10918), _u10925), _u10923) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, _u10918), _u10924), _u10922)) | hBOOL(hAPP(hAPP(c_member(_u10919), skolem196(_u10925, _u10924, _u10923, _u10922, _u10921, _u10920, _u10919, _u10918)), _u10922)) )).
% 12.21/12.40 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10918) | ~c_Fun_Oinj__on(_u10919, _u10920, _u10921, _u10922) | ( _u10923 != hAPP(c_Set_Oimage(_u10919, _u10920, _u10921), _u10922)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10920, _u10918), _u10925), _u10923) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, _u10918), _u10924), _u10922)) | ( hAPP(_u10924, skolem196(_u10925, _u10924, _u10923, _u10922, _u10921, _u10920, _u10919, _u10918)) != hAPP(hAPP(c_Fun_Ocomp(_u10920, _u10918, _u10919, _u10925), _u10921), skolem196(_u10925, _u10924, _u10923, _u10922, _u10921, _u10920, _u10919, _u10918))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10928), _u10929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10928, tc_HOL_Obool)), _u10930), _u10929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10930) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10929)) | hBOOL(hAPP(hAPP(c_member(_u10928), skolem197(_u10931, _u10930, _u10929, _u10928, _u10927)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10928, tc_HOL_Obool)), _u10929), _u10930))) )).
% 12.21/12.40 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10928), _u10929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10928, tc_HOL_Obool)), _u10930), _u10929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10930) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10929)) | ( hAPP(_u10931, skolem197(_u10931, _u10930, _u10929, _u10928, _u10927)) != c_Groups_Oone__class_Oone(_u10927)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10934), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10934, tc_HOL_Obool)), _u10936), _u10935)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10936)) | hBOOL(hAPP(hAPP(c_member(_u10934), skolem198(_u10937, _u10936, _u10935, _u10934, _u10933)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10934, tc_HOL_Obool)), _u10935), _u10936))) )).
% 12.21/12.40 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10934), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10934, tc_HOL_Obool)), _u10936), _u10935)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10936)) | ( hAPP(_u10937, skolem198(_u10937, _u10936, _u10935, _u10934, _u10933)) != c_Groups_Oone__class_Oone(_u10933)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem199(_u10939))) )).
% 12.21/12.40 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)), _u10939)) | ( _u10939 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem199(_u10939))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u10940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10940), _u10941), _u10942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10940), _u10942), _u10943)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10940, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10940, _u10941, _u10942)), c_SetInterval_Oord__class_OatLeastAtMost(_u10940, _u10942, _u10943)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10940, _u10941, _u10943)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u10944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10944), _u10945), _u10946)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10944, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10944), _u10945), c_Orderings_Obot__class_Obot(tc_fun(_u10944, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10944, _u10945, _u10946)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10944, _u10945), _u10946)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10947), _u10948))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10949, _u10950))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10951, _u10952))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 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, _u10953), _u10954))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10955, _u10956) = 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), _u10955), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10956)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10957)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10958), _u10959)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10958), _u10957)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10959), _u10957))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10961), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10960, _u10961)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 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, _u10962), _u10963)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10962)), hAPP(c_Nat_OSuc, _u10963))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 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, _u10964, _u10965)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10964), hAPP(c_Nat_OSuc, _u10965))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u10966)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10967, _u10968)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10967), _u10966), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10968), _u10966))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10969), hAPP(c_Nat_OSuc, _u10970)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10969, _u10970)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10972), _u10973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10974), _u10975)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10972), _u10973) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10974), _u10975)) | ( _u10972 = _u10974) )).
% 12.21/12.40 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10972), _u10973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10974), _u10975)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10972), _u10973) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10974), _u10975)) | ( _u10973 = _u10975) )).
% 12.21/12.40 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10972), _u10973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10974), _u10975)) | ( _u10972 != _u10974) | ( _u10973 != _u10975) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10972), _u10973) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10974), _u10975)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u10976) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10976, _u10977), _u10978) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10976, _u10979), _u10980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10976), _u10977), _u10978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10976), _u10979), _u10980)) | ( _u10977 = _u10979) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u10981) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10981, _u10982), _u10983) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10981, _u10984), _u10985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10981), _u10982), _u10983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10981), _u10984), _u10985)) | ( _u10983 = _u10985) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u10986) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10986, _u10987), _u10988)), c_SetInterval_Oord__class_OatLeastAtMost(_u10986, _u10988, _u10989)) = c_Orderings_Obot__class_Obot(tc_fun(_u10986, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u10990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10990), _u10991), _u10992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10990), _u10992), _u10993)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10990, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10990, _u10991), _u10992)), c_SetInterval_Oord__class_OatLeastAtMost(_u10990, _u10992, _u10993)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10990, _u10991, _u10993)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10994) | ~c_Nat__Transfer_Ois__nat(_u10995) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10994, _u10995) = 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, _u10994), hAPP(c_Int_Onat, _u10995)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10996), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u10997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10997), _u10998), _u10999)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10997, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10997, _u10998), _u10999)), hAPP(hAPP(c_Set_Oinsert(_u10997), _u10999), c_Orderings_Obot__class_Obot(tc_fun(_u10997, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u10997, _u10998, _u10999)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11000), _u11001)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11001), _u11000)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11002) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11002, _u11003)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u11004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11004), _u11005), _u11006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11004), _u11006), _u11007)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11004, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11004, _u11005, _u11006)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11004, _u11006, _u11007)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11004, _u11005), _u11007)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u11008) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11008, _u11009, _u11010) != c_Orderings_Obot__class_Obot(tc_fun(_u11008, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11008), _u11009), _u11010)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u11008) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11008), _u11009), _u11010)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11008, _u11009, _u11010) = c_Orderings_Obot__class_Obot(tc_fun(_u11008, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u11011) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11011, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u11011, _u11012, _u11013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11011), _u11012), _u11013)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u11011) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11011), _u11012), _u11013)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11011, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11011, _u11012, _u11013)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u11014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11014), _u11015), _u11016)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11014, _u11016, _u11015) = c_Orderings_Obot__class_Obot(tc_fun(_u11014, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11018), _u11019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11020), _u11018)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11018), _u11019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11019), _u11021)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u11017) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11018), _u11019)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u11017) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11020), _u11018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11019), _u11021)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u11022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11022), _u11023), _u11024)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11022, _u11024), _u11023) = c_Orderings_Obot__class_Obot(tc_fun(_u11022, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u11025) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11025, _u11026), _u11027) != c_Orderings_Obot__class_Obot(tc_fun(_u11025, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11025), _u11026), _u11027)) )).
% 12.21/12.40 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u11025) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11025), _u11026), _u11027)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11025, _u11026), _u11027) = c_Orderings_Obot__class_Obot(tc_fun(_u11025, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u11028) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11028, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11028, _u11029), _u11030)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11028), _u11029), _u11030)) )).
% 12.21/12.40 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u11028) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11028), _u11029), _u11030)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11028, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11028, _u11029), _u11030)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u11031) | ( _u11032 != _u11033) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11031, _u11032, _u11033) = hAPP(hAPP(c_Set_Oinsert(_u11031), _u11032), c_Orderings_Obot__class_Obot(tc_fun(_u11031, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u11034) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11034, _u11035, _u11036) != hAPP(hAPP(c_Set_Oinsert(_u11034), _u11037), c_Orderings_Obot__class_Obot(tc_fun(_u11034, tc_HOL_Obool)))) | ( _u11035 = _u11036) )).
% 12.21/12.40 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u11034) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11034, _u11035, _u11036) != hAPP(hAPP(c_Set_Oinsert(_u11034), _u11037), c_Orderings_Obot__class_Obot(tc_fun(_u11034, tc_HOL_Obool)))) | ( _u11036 = _u11037) )).
% 12.21/12.40 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u11034) | ( _u11035 != _u11036) | ( _u11036 != _u11037) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11034, _u11035, _u11036) = hAPP(hAPP(c_Set_Oinsert(_u11034), _u11037), c_Orderings_Obot__class_Obot(tc_fun(_u11034, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u11038) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11038, _u11039, _u11039) = hAPP(hAPP(c_Set_Oinsert(_u11038), _u11039), c_Orderings_Obot__class_Obot(tc_fun(_u11038, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11040, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11041), _u11042)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11043), _u11044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11042), _u11041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11043), _u11041)) )).
% 12.21/12.40 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11040, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11041), _u11042)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11043), _u11044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11042), _u11041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11042), _u11044)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u11045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11045), _u11046), _u11047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11045), _u11047), _u11048)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11045, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11045, _u11046), _u11047)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11045, _u11047), _u11048)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11045, _u11046), _u11048)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11049) | ( hAPP(c_Set_Oimage(_u11049, _u11049, c_Groups_Ouminus__class_Ouminus(_u11049)), c_SetInterval_Oord__class_OatLeastAtMost(_u11049, _u11050, _u11051)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11049, hAPP(c_Groups_Ouminus__class_Ouminus(_u11049), _u11051), hAPP(c_Groups_Ouminus__class_Ouminus(_u11049), _u11050))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u11052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11052), _u11053), _u11054)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11052, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11052, _u11053), _u11055)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11052, _u11053), _u11054)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11052, _u11054), _u11055)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11056, 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(_u11056, tc_HOL_Obool)), tc_fun(_u11056, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u11056, tc_HOL_Obool)), tc_fun(_u11056, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11056, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u11057)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11056, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11057)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u11058) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11058, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11058, _u11059), _u11060)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11058, _u11060), _u11061)) = c_Orderings_Obot__class_Obot(tc_fun(_u11058, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11062)), _u11063) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u11062, _u11063)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11064), _u11065) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11064, _u11065)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11066))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11067)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11067, _u11068)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11069, _u11070)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11070)), _u11069)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11071), hAPP(c_Nat_OSuc, _u11072))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11071, hAPP(c_Nat_OSuc, _u11072)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11072)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11071, _u11072))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11073), hAPP(c_Nat_OSuc, _u11073)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11073), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.21/12.40 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), _u11074), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11075) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u11074, _u11075)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u11076) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11076, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11076, _u11077, _u11078)), c_SetInterval_Oord__class_OatLeastAtMost(_u11076, _u11079, _u11080)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11076, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11076), _u11077), _u11079), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11076), _u11078), _u11080))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11082)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11083), _u11085)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11084), _u11082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11083), _u11085)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u11081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u11081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11083), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11084), _u11082)) )).
% 12.21/12.40 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u11081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11083), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11083), _u11085)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11086), _u11087)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11086), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11087), _u11088)) = 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, _u11086), _u11087)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11087), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11087), _u11088)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u11089) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11089, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11089, _u11090), _u11091)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11089, _u11092), _u11093)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11089, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11089), _u11090), _u11092)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11089), _u11091), _u11093))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u11094) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11094), _u11095), _u11096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11094), _u11096), _u11097)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11094, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11094, _u11095, _u11096)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11094, _u11096, _u11097)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11094, _u11095, _u11097)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u11098) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11098, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11098, _u11099, _u11100)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11098, _u11100, _u11101)) = c_Orderings_Obot__class_Obot(tc_fun(_u11098, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u11102) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11102, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11102, _u11103, _u11104)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11102, _u11104, _u11105)) = c_Orderings_Obot__class_Obot(tc_fun(_u11102, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u11106) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11106, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11106, _u11107, _u11108)), c_SetInterval_Oord__class_OatLeastAtMost(_u11106, _u11108, _u11109)) = c_Orderings_Obot__class_Obot(tc_fun(_u11106, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11110), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11111), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11110))))) | ( _u11110 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11111), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11110)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u11112) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11112, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11112, _u11113, _u11114)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11112, _u11114), _u11115)) = c_Orderings_Obot__class_Obot(tc_fun(_u11112, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11116) | ( hAPP(c_Set_Oimage(_u11116, _u11116, c_Groups_Ouminus__class_Ouminus(_u11116)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11116, _u11117, _u11118)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11116, hAPP(c_Groups_Ouminus__class_Ouminus(_u11116), _u11118)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11116), _u11117))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11119) | ( hAPP(c_Set_Oimage(_u11119, _u11119, c_Groups_Ouminus__class_Ouminus(_u11119)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11119, _u11120), _u11121)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11119, hAPP(c_Groups_Ouminus__class_Ouminus(_u11119), _u11121), hAPP(c_Groups_Ouminus__class_Ouminus(_u11119), _u11120))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11122)), 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), _u11123), _u11122))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11122), _u11123)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11124)) = hAPP(c_Int_Onat, _u11124)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11125), _u11126)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11126), _u11125))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 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), _u11127), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11128) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11127, _u11128)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11131), _u11133)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11131), hAPP(c_Nat_OSuc, _u11133)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11133), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11131), _u11133))) )).
% 12.21/12.40 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11132), _u11134)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11132), hAPP(c_Nat_OSuc, _u11134)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11137), _u11139)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11139, _u11137) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.21/12.40 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11138), _u11140)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11140, _u11138) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u11140), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11140), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11138))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u11141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11141), _u11142), _u11143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11141), _u11143), _u11144)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11141, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11141, _u11142, _u11143)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11141, _u11143), _u11144)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11141, _u11142, _u11144)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11145, _u11146)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11146), _u11145)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11150), _u11152)) | ( 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)), _u11150)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11154), _u11152)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11154), _u11150)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11152), _u11150))) )).
% 12.21/12.40 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11151), _u11153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11155), _u11153)) | ( 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)), _u11151)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11155), _u11153)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.40 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11151), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11155), _u11153)) | ( 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)), _u11151)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11155), _u11153)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u11156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11156), _u11157), _u11158)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11156, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11156), _u11157), c_Orderings_Obot__class_Obot(tc_fun(_u11156, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11156, _u11157, _u11158)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11156, _u11157, _u11158)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), _u11161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem200(_u11164, _u11163, _u11162, _u11161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11162))) )).
% 12.21/12.40 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)), _u11162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), _u11161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem201(_u11164, _u11163, _u11162, _u11161)), _u11164)) )).
% 12.21/12.40 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)), _u11162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), _u11161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) | ( _u11161 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem201(_u11164, _u11163, _u11162, _u11161)), skolem200(_u11164, _u11163, _u11162, _u11161))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11168)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11169), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11167), _u11168)), _u11169)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem202(_u11170, _u11169, _u11168, _u11167)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11168))) )).
% 12.21/12.40 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)), _u11168)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11169), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11167), _u11168)), _u11169)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u11170, _u11169, _u11168, _u11167)), _u11170)) )).
% 12.21/12.40 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)), _u11168)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11169), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11167), _u11168)), _u11169)) | ( _u11167 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem203(_u11170, _u11169, _u11168, _u11167)), skolem202(_u11170, _u11169, _u11168, _u11167))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11173)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11175)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), _u11173) = _u11174) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem204(_u11175, _u11174, _u11173)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11173))) )).
% 12.21/12.40 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)), _u11173)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11175)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), _u11173) = _u11174) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u11175, _u11174, _u11173)), _u11175)) )).
% 12.21/12.40 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)), _u11173)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11175)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), _u11173) = _u11174) | ( _u11174 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem205(_u11175, _u11174, _u11173)), skolem204(_u11175, _u11174, _u11173))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11176), _u11182)) | ~hBOOL(hAPP(_u11184, _u11176)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem206(_u11184, _u11182)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11182))) )).
% 12.21/12.40 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11176), _u11182)) | ~hBOOL(hAPP(_u11184, _u11176)) | hBOOL(hAPP(_u11184, skolem206(_u11184, _u11182))) )).
% 12.21/12.40 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11178), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11183))) | ~hBOOL(hAPP(_u11185, _u11178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem207(_u11185, _u11183)), _u11183)) )).
% 12.21/12.40 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11178), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11183))) | ~hBOOL(hAPP(_u11185, _u11178)) | hBOOL(hAPP(_u11185, skolem207(_u11185, _u11183))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11187), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11192))) | hBOOL(hAPP(_u11194, _u11187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem208(_u11194, _u11192)), _u11192)) )).
% 12.21/12.40 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11187), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11192))) | hBOOL(hAPP(_u11194, _u11187)) | ~hBOOL(hAPP(_u11194, skolem208(_u11194, _u11192))) )).
% 12.21/12.40 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11189), _u11193)) | hBOOL(hAPP(_u11195, _u11189)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem209(_u11195, _u11193)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11193))) )).
% 12.21/12.40 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11189), _u11193)) | hBOOL(hAPP(_u11195, _u11189)) | ~hBOOL(hAPP(_u11195, skolem209(_u11195, _u11193))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11197), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11202))) | hBOOL(hAPP(_u11204, _u11197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u11204, _u11202)), _u11202)) )).
% 12.21/12.40 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11197), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11202))) | hBOOL(hAPP(_u11204, _u11197)) | ~hBOOL(hAPP(_u11204, skolem210(_u11204, _u11202))) )).
% 12.21/12.40 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11199), _u11203)) | hBOOL(hAPP(_u11205, _u11199)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem211(_u11205, _u11203)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11203))) )).
% 12.21/12.40 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11199), _u11203)) | hBOOL(hAPP(_u11205, _u11199)) | ~hBOOL(hAPP(_u11205, skolem211(_u11205, _u11203))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11206), _u11212)) | ~hBOOL(hAPP(_u11214, _u11206)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem212(_u11214, _u11212)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11212))) )).
% 12.21/12.40 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11206), _u11212)) | ~hBOOL(hAPP(_u11214, _u11206)) | hBOOL(hAPP(_u11214, skolem212(_u11214, _u11212))) )).
% 12.21/12.40 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11208), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11213))) | ~hBOOL(hAPP(_u11215, _u11208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem213(_u11215, _u11213)), _u11213)) )).
% 12.21/12.40 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11208), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11213))) | ~hBOOL(hAPP(_u11215, _u11208)) | hBOOL(hAPP(_u11215, skolem213(_u11215, _u11213))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11218)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11220)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), _u11218) = _u11219) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u11220, _u11219, _u11218)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11218))) )).
% 12.21/12.40 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)), _u11218)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11220)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), _u11218) = _u11219) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u11220, _u11219, _u11218)), _u11220)) )).
% 12.21/12.40 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)), _u11218)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11220)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), _u11218) = _u11219) | ( _u11219 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u11220, _u11219, _u11218)), skolem214(_u11220, _u11219, _u11218))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11224)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11223), _u11225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), _u11224)), _u11225)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u11226, _u11225, _u11224, _u11223)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11224))) )).
% 12.21/12.40 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)), _u11224)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11223), _u11225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), _u11224)), _u11225)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem217(_u11226, _u11225, _u11224, _u11223)), _u11226)) )).
% 12.21/12.40 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)), _u11224)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11223), _u11225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), _u11224)), _u11225)) | ( _u11223 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u11226, _u11225, _u11224, _u11223)), skolem216(_u11226, _u11225, _u11224, _u11223))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11230)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11231), _u11232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11229), _u11230))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem218(_u11232, _u11231, _u11230, _u11229)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11230))) )).
% 12.21/12.40 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)), _u11230)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11231), _u11232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11229), _u11230))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u11232, _u11231, _u11230, _u11229)), _u11232)) )).
% 12.21/12.40 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)), _u11230)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11231), _u11232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11229), _u11230))) | ( _u11229 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem219(_u11232, _u11231, _u11230, _u11229)), skolem218(_u11232, _u11231, _u11230, _u11229))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11236)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11237), _u11238)) | ( _u11235 = _u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11235), _u11236) != _u11237) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem220(_u11238, _u11237, _u11236, _u11235)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11236))) )).
% 12.21/12.40 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)), _u11236)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11237), _u11238)) | ( _u11235 = _u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11235), _u11236) != _u11237) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u11238, _u11237, _u11236, _u11235)), _u11238)) )).
% 12.21/12.40 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)), _u11236)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11237), _u11238)) | ( _u11235 = _u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11235), _u11236) != _u11237) | ( _u11235 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem221(_u11238, _u11237, _u11236, _u11235)), skolem220(_u11238, _u11237, _u11236, _u11235))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11242)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11243), _u11244)) | ( _u11241 = _u11243) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11241), _u11242) != _u11243) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u11244, _u11243, _u11242, _u11241)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11242))) )).
% 12.21/12.40 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)), _u11242)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11243), _u11244)) | ( _u11241 = _u11243) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11241), _u11242) != _u11243) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u11244, _u11243, _u11242, _u11241)), _u11244)) )).
% 12.21/12.40 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)), _u11242)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11243), _u11244)) | ( _u11241 = _u11243) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11241), _u11242) != _u11243) | ( _u11241 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem223(_u11244, _u11243, _u11242, _u11241)), skolem222(_u11244, _u11243, _u11242, _u11241))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), _u11247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11247), _u11248))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u11250, _u11249, _u11248, _u11247)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11248))) )).
% 12.21/12.40 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)), _u11248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), _u11247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11247), _u11248))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem225(_u11250, _u11249, _u11248, _u11247)), _u11249)) )).
% 12.21/12.40 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)), _u11248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), _u11247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11247), _u11248))) | ( _u11247 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem225(_u11250, _u11249, _u11248, _u11247)), skolem224(_u11250, _u11249, _u11248, _u11247))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11253), _u11256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11253), _u11254)), _u11256)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem226(_u11256, _u11255, _u11254, _u11253)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11254))) )).
% 12.21/12.40 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)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11253), _u11256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11253), _u11254)), _u11256)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem227(_u11256, _u11255, _u11254, _u11253)), _u11255)) )).
% 12.21/12.40 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)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11253), _u11256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11253), _u11254)), _u11256)) | ( _u11253 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem227(_u11256, _u11255, _u11254, _u11253)), skolem226(_u11256, _u11255, _u11254, _u11253))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem228(_u11261, _u11260, _u11259, _u11258))), _u11259)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, 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), skolem228(_u11261, _u11260, _u11259, _u11258)), _u11260))), _u11261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11259)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11261))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.40 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)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), _u11276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11276), _u11277))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem235(_u11279, _u11278, _u11277, _u11276)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11277))) )).
% 12.21/12.40 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)), _u11277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), _u11276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11276), _u11277))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u11279, _u11278, _u11277, _u11276)), _u11278)) )).
% 12.21/12.40 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)), _u11277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), _u11276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11276), _u11277))) | ( _u11276 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem236(_u11279, _u11278, _u11277, _u11276)), skolem235(_u11279, _u11278, _u11277, _u11276))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11282), _u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11282), _u11283)), _u11285)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem237(_u11285, _u11284, _u11283, _u11282)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11283))) )).
% 12.21/12.40 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)), _u11283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11282), _u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11282), _u11283)), _u11285)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u11285, _u11284, _u11283, _u11282)), _u11284)) )).
% 12.21/12.40 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)), _u11283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11282), _u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11282), _u11283)), _u11285)) | ( _u11282 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem238(_u11285, _u11284, _u11283, _u11282)), skolem237(_u11285, _u11284, _u11283, _u11282))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.21/12.40 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)), _u11286)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11286) = 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, _u11286)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11287))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11288) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11289) != hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11290)) | ( _u11289 = _u11290) )).
% 12.21/12.40 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11288) | ( _u11289 != _u11290) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11289) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11290)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11291)) = _u11291) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__lessThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11292) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11292)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11293)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11293), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11293))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u11294) | ~hBOOL(hAPP(hAPP(c_member(_u11294), _u11295), hAPP(c_SetInterval_Oord__class_OlessThan(_u11294), _u11296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11294), _u11295), _u11296)) )).
% 12.21/12.40 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u11294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11294), _u11295), _u11296)) | hBOOL(hAPP(hAPP(c_member(_u11294), _u11295), hAPP(c_SetInterval_Oord__class_OlessThan(_u11294), _u11296))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11298)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11297), _u11298), _u11299)) )).
% 12.21/12.40 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11297), _u11298), _u11299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11298)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11299))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11300, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11301)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11300), _u11301), _u11302)) )).
% 12.21/12.40 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11300), _u11301), _u11302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11300, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11301)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11302))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u11303) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11303, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11303), _u11304), c_Orderings_Obot__class_Obot(tc_fun(_u11303, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u11303), _u11304)) = hAPP(hAPP(c_Set_Oinsert(_u11303), _u11304), c_Orderings_Obot__class_Obot(tc_fun(_u11303, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u11305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11305), _u11306), _u11307)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11305, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11305), _u11306)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11305, _u11306), _u11307)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11305), _u11307)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u11308) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11308, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11308), _u11309)), c_SetInterval_Oord__class_OatLeastAtMost(_u11308, _u11309, _u11310)) = c_Orderings_Obot__class_Obot(tc_fun(_u11308, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u11311) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11311, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11311), _u11312)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11311, _u11312), _u11313)) = c_Orderings_Obot__class_Obot(tc_fun(_u11311, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11314)) = 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), _u11314)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_arith__series__int-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11315)), 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))), _u11316))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11317))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11317)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11315), 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), _u11317), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11316))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem239(_u11322, _u11321, _u11320, _u11319))), _u11320) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, 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), skolem239(_u11322, _u11321, _u11320, _u11319)), _u11321))), _u11322)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11320) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11322)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11324, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11324, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem240(_u11326, _u11325, _u11324))), _u11325)), _u11326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11324, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11324, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11325)), _u11326)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u11327) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11327), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11328, tc_Int_Oint), _u11329), _u11330)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11328, _u11327), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11327, _u11328), c_Int_Oring__1__class_Oof__int(_u11327)), _u11329)), _u11330)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11331) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11332, _u11331), hAPP(c_COMBK(_u11331, _u11332), c_Groups_Ozero__class_Ozero(_u11331))), _u11333) = c_Groups_Ozero__class_Ozero(_u11331)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u11334) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11335, _u11334), hAPP(hAPP(c_COMBB(_u11334, _u11334, _u11335), c_Groups_Ouminus__class_Ouminus(_u11334)), _u11336)), _u11337) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11334), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11335, _u11334), _u11336), _u11337))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u11338) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11338), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11339, _u11338), _u11340), _u11341)), _u11342) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11339, _u11338), hAPP(hAPP(c_COMBC(_u11339, _u11338, _u11338), hAPP(hAPP(c_COMBB(_u11338, tc_fun(_u11338, _u11338), _u11339), c_Rings_Oinverse__class_Odivide(_u11338)), _u11340)), _u11342)), _u11341)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11343) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11344, _u11343), hAPP(hAPP(c_COMBS(_u11344, _u11343, _u11343), hAPP(hAPP(c_COMBB(_u11343, tc_fun(_u11343, _u11343), _u11344), c_Groups_Oplus__class_Oplus(_u11343)), _u11345)), _u11346)), _u11347) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11343), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11344, _u11343), _u11345), _u11347)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11344, _u11343), _u11346), _u11347))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u11348) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11348), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11349, _u11348), _u11350), _u11351)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11352, _u11348), _u11353), _u11354)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11349, _u11348), hAPP(hAPP(c_COMBC(_u11349, tc_fun(_u11352, tc_HOL_Obool), _u11348), hAPP(hAPP(c_COMBB(tc_fun(_u11352, _u11348), tc_fun(tc_fun(_u11352, tc_HOL_Obool), _u11348), _u11349), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11352, _u11348)), hAPP(hAPP(c_COMBC(_u11349, tc_fun(_u11352, _u11348), tc_fun(_u11352, _u11348)), hAPP(hAPP(c_COMBB(tc_fun(_u11348, _u11348), tc_fun(tc_fun(_u11352, _u11348), tc_fun(_u11352, _u11348)), _u11349), c_COMBB(_u11348, _u11348, _u11352)), hAPP(hAPP(c_COMBB(_u11348, tc_fun(_u11348, _u11348), _u11349), c_Groups_Otimes__class_Otimes(_u11348)), _u11350))), _u11353))), _u11354)), _u11351)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u11355) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11355), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11356, _u11355), _u11357), _u11358)), _u11359) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11356, _u11355), hAPP(hAPP(c_COMBC(_u11356, _u11355, _u11355), hAPP(hAPP(c_COMBB(_u11355, tc_fun(_u11355, _u11355), _u11356), c_Groups_Otimes__class_Otimes(_u11355)), _u11357)), _u11359)), _u11358)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u11360) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11360), _u11361), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11362, _u11360), _u11363), _u11364)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11362, _u11360), hAPP(hAPP(c_COMBB(_u11360, _u11360, _u11362), hAPP(c_Groups_Otimes__class_Otimes(_u11360), _u11361)), _u11363)), _u11364)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11365) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11366, _u11365), hAPP(hAPP(c_COMBC(_u11366, tc_fun(_u11367, tc_HOL_Obool), _u11365), hAPP(hAPP(c_COMBB(tc_fun(_u11367, _u11365), tc_fun(tc_fun(_u11367, tc_HOL_Obool), _u11365), _u11366), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11367, _u11365)), _u11368)), _u11369)), _u11370) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11367, _u11365), hAPP(hAPP(c_COMBC(_u11367, tc_fun(_u11366, tc_HOL_Obool), _u11365), hAPP(hAPP(c_COMBB(tc_fun(_u11366, _u11365), tc_fun(tc_fun(_u11366, tc_HOL_Obool), _u11365), _u11367), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11366, _u11365)), hAPP(c_COMBC(_u11366, _u11367, _u11365), _u11368))), _u11370)), _u11369)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u11371) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11372, _u11371), hAPP(hAPP(c_COMBS(_u11372, _u11371, _u11371), hAPP(hAPP(c_COMBB(_u11371, tc_fun(_u11371, _u11371), _u11372), c_Groups_Ominus__class_Ominus(_u11371)), _u11373)), _u11374)), _u11375) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11372, _u11371), _u11373), _u11375)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11372, _u11371), _u11374), _u11375))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u11376) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11376), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11377, tc_Nat_Onat), _u11378), _u11379)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11377, _u11376), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11376, _u11377), c_Nat_Osemiring__1__class_Oof__nat(_u11376)), _u11378)), _u11379)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11380) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11381, _u11380), _u11382), c_Orderings_Obot__class_Obot(tc_fun(_u11381, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11380)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11383) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11384, _u11383), _u11385), c_Orderings_Obot__class_Obot(tc_fun(_u11384, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11383)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11386) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11387), _u11388)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11387, _u11386), _u11389), _u11388) = c_Groups_Ozero__class_Ozero(_u11386)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11390) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11391), _u11392)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11391, _u11390), _u11393), _u11392) = c_Groups_Ozero__class_Ozero(_u11390)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11394) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11395), _u11396)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11395, _u11394), hAPP(hAPP(c_COMBS(_u11395, _u11394, _u11394), hAPP(hAPP(c_COMBB(_u11394, tc_fun(_u11394, _u11394), _u11395), c_Groups_Oplus__class_Oplus(_u11394)), _u11397)), _u11398)), _u11396) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11394), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11395, _u11394), _u11397), _u11396)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11395, _u11394), _u11398), _u11396))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11399) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11399), _u11400), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11401)), hAPP(c_Nat_OSuc, _u11402))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11399), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11399, tc_Nat_Onat), _u11400), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11401), _u11402))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11403) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11403), _u11404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11405), _u11406)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11407), _u11406))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11403), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11403, tc_Nat_Onat), _u11404), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11406))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11405), _u11407))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11408) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11408), _u11409), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11410), hAPP(c_Nat_OSuc, _u11411))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11408), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11408, tc_Nat_Onat), _u11409), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11410, _u11411))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11412) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11412), _u11413), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11414), _u11415), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11416), _u11415))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11412), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11412, tc_Nat_Onat), _u11413), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11415))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11414, _u11416))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11417) | ~c_Fun_Oinj__on(_u11418, _u11419, _u11420, _u11421) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11419, _u11417), _u11422), hAPP(c_Set_Oimage(_u11418, _u11419, _u11420), _u11421)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11418, _u11417), hAPP(c_Fun_Ocomp(_u11419, _u11417, _u11418, _u11422), _u11420)), _u11421)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11424), _u11425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11425), _u11426)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11423), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11423), _u11427), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11424), _u11425))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11423), _u11427), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11425), _u11426))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11423), _u11427), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11424), _u11426))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u11428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11429), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11430), _u11431)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11428), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11428), _u11432), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11429), _u11431))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11428), _u11432), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11429), _u11430))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11428), _u11432), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11430), _u11431))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11434), _u11435)) | ~hBOOL(hAPP(hAPP(c_member(_u11434), _u11436), _u11435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11434, _u11433), hAPP(hAPP(c_COMBC(_u11434, _u11433, _u11433), hAPP(hAPP(c_COMBS(_u11434, _u11433, tc_fun(_u11433, _u11433)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11433, tc_fun(_u11433, _u11433)), _u11434), c_If(_u11433)), hAPP(hAPP(c_COMBC(_u11434, _u11434, tc_HOL_Obool), c_fequal), _u11436))), _u11437)), c_Groups_Ozero__class_Ozero(_u11433))), _u11435) = hAPP(_u11437, _u11436)) )).
% 12.21/12.40 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11434), _u11435)) | hBOOL(hAPP(hAPP(c_member(_u11434), _u11436), _u11435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11434, _u11433), hAPP(hAPP(c_COMBC(_u11434, _u11433, _u11433), hAPP(hAPP(c_COMBS(_u11434, _u11433, tc_fun(_u11433, _u11433)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11433, tc_fun(_u11433, _u11433)), _u11434), c_If(_u11433)), hAPP(hAPP(c_COMBC(_u11434, _u11434, tc_HOL_Obool), c_fequal), _u11436))), _u11437)), c_Groups_Ozero__class_Ozero(_u11433))), _u11435) = c_Groups_Ozero__class_Ozero(_u11433)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11439), _u11440)) | ~hBOOL(hAPP(hAPP(c_member(_u11439), _u11441), _u11440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11439, _u11438), hAPP(hAPP(c_COMBC(_u11439, _u11438, _u11438), hAPP(hAPP(c_COMBS(_u11439, _u11438, tc_fun(_u11438, _u11438)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11438, tc_fun(_u11438, _u11438)), _u11439), c_If(_u11438)), hAPP(c_fequal, _u11441))), _u11442)), c_Groups_Ozero__class_Ozero(_u11438))), _u11440) = hAPP(_u11442, _u11441)) )).
% 12.21/12.40 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11439), _u11440)) | hBOOL(hAPP(hAPP(c_member(_u11439), _u11441), _u11440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11439, _u11438), hAPP(hAPP(c_COMBC(_u11439, _u11438, _u11438), hAPP(hAPP(c_COMBS(_u11439, _u11438, tc_fun(_u11438, _u11438)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11438, tc_fun(_u11438, _u11438)), _u11439), c_If(_u11438)), hAPP(c_fequal, _u11441))), _u11442)), c_Groups_Ozero__class_Ozero(_u11438))), _u11440) = c_Groups_Ozero__class_Ozero(_u11438)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11444), _u11445)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11446), _u11447)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, _u11443), hAPP(hAPP(c_COMBS(_u11444, tc_fun(_u11446, tc_HOL_Obool), _u11443), hAPP(hAPP(c_COMBB(tc_fun(_u11446, _u11443), tc_fun(tc_fun(_u11446, tc_HOL_Obool), _u11443), _u11444), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11446, _u11443)), _u11448)), hAPP(hAPP(c_COMBB(tc_fun(_u11446, tc_HOL_Obool), tc_fun(_u11446, tc_HOL_Obool), _u11444), c_Set_OCollect(_u11446)), hAPP(hAPP(c_COMBB(tc_fun(_u11446, tc_HOL_Obool), tc_fun(_u11446, tc_HOL_Obool), _u11444), hAPP(c_COMBS(_u11446, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11446), c_fconj), hAPP(hAPP(c_COMBC(_u11446, tc_fun(_u11446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11446)), _u11447)))), _u11449)))), _u11445) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11446, _u11443), hAPP(hAPP(c_COMBS(_u11446, tc_fun(_u11444, tc_HOL_Obool), _u11443), hAPP(hAPP(c_COMBB(tc_fun(_u11444, _u11443), tc_fun(tc_fun(_u11444, tc_HOL_Obool), _u11443), _u11446), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, _u11443)), hAPP(c_COMBC(_u11444, _u11446, _u11443), _u11448))), hAPP(hAPP(c_COMBB(tc_fun(_u11444, tc_HOL_Obool), tc_fun(_u11444, tc_HOL_Obool), _u11446), c_Set_OCollect(_u11444)), hAPP(hAPP(c_COMBB(tc_fun(_u11444, tc_HOL_Obool), tc_fun(_u11444, tc_HOL_Obool), _u11446), hAPP(c_COMBS(_u11444, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11444), c_fconj), hAPP(hAPP(c_COMBC(_u11444, tc_fun(_u11444, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11444)), _u11445)))), hAPP(c_COMBC(_u11444, _u11446, tc_HOL_Obool), _u11449))))), _u11447)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u11450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11451, _u11450), hAPP(c_COMBK(_u11450, _u11451), _u11452)), _u11453) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11450), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11450), hAPP(c_Finite__Set_Ocard(_u11451), _u11453))), _u11452)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11454) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11454), _u11455), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11456))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11454), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11454), _u11455), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11456))), hAPP(_u11455, _u11456))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11457) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11458), _u11459)) | hBOOL(hAPP(hAPP(c_member(_u11458), _u11460), _u11459)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11458, _u11457), _u11461), hAPP(hAPP(c_Set_Oinsert(_u11458), _u11460), _u11459)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11457), hAPP(_u11461, _u11460)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11458, _u11457), _u11461), _u11459))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11462) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11463), _u11464)) | hBOOL(hAPP(hAPP(c_member(_u11463), _u11465), _u11464)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, _u11462), _u11466), hAPP(hAPP(c_Set_Oinsert(_u11463), _u11465), _u11464)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11462), hAPP(_u11466, _u11465)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, _u11462), _u11466), _u11464))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11468), _u11469)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11468), _u11470)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11467), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11468, tc_HOL_Obool)), _u11469), _u11470))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11468, tc_HOL_Obool)), _u11469), _u11470))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11467), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), _u11469)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), _u11470))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u11472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11473), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11473, tc_HOL_Obool)), _u11475), _u11474)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), _u11476), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11473, tc_HOL_Obool)), _u11474), _u11475)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11472), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), _u11476), _u11474)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), _u11476), _u11475))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11477) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11478), _u11479)) | ~c_Fun_Oinj__on(_u11478, _u11478, _u11480, _u11479) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11478, _u11477), _u11481), hAPP(c_Set_Oimage(_u11478, _u11478, _u11480), _u11479)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11478, _u11477), hAPP(c_Fun_Ocomp(_u11478, _u11477, _u11478, _u11481), _u11480)), _u11479)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11483), _u11484)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11485), _u11484) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11482, _u11483, c_Groups_Oplus__class_Oplus(_u11482)), _u11485), c_Groups_Ozero__class_Ozero(_u11482)), _u11484)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11487), _u11488)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11487, _u11486), _u11489), _u11488) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11486, _u11487, c_Groups_Oplus__class_Oplus(_u11486)), _u11489), c_Groups_Ozero__class_Ozero(_u11486)), _u11488)) )).
% 12.21/12.40 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11486) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11487), _u11488)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11487, _u11486), _u11489), _u11488) = c_Groups_Ozero__class_Ozero(_u11486)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11490) | ( hAPP(_u11491, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u11490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11490), _u11491), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u11492)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11490), _u11491), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11492))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11494), _u11495)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11493), _u11496), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11494), _u11495)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11493), hAPP(_u11496, _u11494)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11493), _u11496), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11494)), _u11495)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11498), _u11499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11497), _u11500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11498, _u11499)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11497), hAPP(_u11500, _u11498)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11497), _u11500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11498), _u11499)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11502), _u11503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11502, _u11501), _u11504), hAPP(c_Set_OCollect(_u11502), hAPP(hAPP(c_COMBS(_u11502, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11502), c_fconj), hAPP(hAPP(c_COMBC(_u11502, tc_fun(_u11502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11502)), _u11503))), hAPP(hAPP(c_COMBC(_u11502, tc_fun(_u11502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11502)), _u11505)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11502, _u11501), hAPP(hAPP(c_COMBC(_u11502, _u11501, _u11501), hAPP(hAPP(c_COMBS(_u11502, _u11501, tc_fun(_u11501, _u11501)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11501, tc_fun(_u11501, _u11501)), _u11502), c_If(_u11501)), hAPP(hAPP(c_COMBC(_u11502, tc_fun(_u11502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11502)), _u11505))), _u11504)), c_Groups_Ozero__class_Ozero(_u11501))), _u11503)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11506) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11507), _u11508)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11507, _u11506), _u11509), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11507, tc_HOL_Obool)), _u11508), _u11510)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11507, _u11506), hAPP(hAPP(c_COMBC(_u11507, _u11506, _u11506), hAPP(hAPP(c_COMBS(_u11507, _u11506, tc_fun(_u11506, _u11506)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11506, tc_fun(_u11506, _u11506)), _u11507), c_If(_u11506)), hAPP(hAPP(c_COMBC(_u11507, tc_fun(_u11507, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11507)), _u11510))), _u11509)), c_Groups_Ozero__class_Ozero(_u11506))), _u11508)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11512), _u11513)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11512, _u11511), _u11514), _u11513) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11515, _u11511), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), _u11511, _u11515), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11512, _u11511), _u11514)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_fun(_u11512, tc_HOL_Obool), _u11515), c_Set_OCollect(_u11512)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_fun(_u11512, tc_HOL_Obool), _u11515), hAPP(c_COMBS(_u11512, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11512), c_fconj), hAPP(hAPP(c_COMBC(_u11512, tc_fun(_u11512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11512)), _u11513)))), hAPP(c_COMBC(_u11512, _u11515, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11515, tc_fun(_u11515, tc_HOL_Obool), _u11512), c_fequal), _u11516)))))), hAPP(c_Set_Oimage(_u11512, _u11515, _u11516), _u11513))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11518), _u11519)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11518, _u11517), _u11520), hAPP(hAPP(c_Set_Oinsert(_u11518), _u11521), _u11519)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11517), hAPP(_u11520, _u11521)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11518, _u11517), _u11520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11518, tc_HOL_Obool)), _u11519), hAPP(hAPP(c_Set_Oinsert(_u11518), _u11521), c_Orderings_Obot__class_Obot(tc_fun(_u11518, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11523), _u11524)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11523), _u11525)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11523, tc_HOL_Obool)), _u11524), _u11525) != c_Orderings_Obot__class_Obot(tc_fun(_u11523, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11523, _u11522), _u11526), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11523, tc_HOL_Obool)), _u11524), _u11525)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11522), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11523, _u11522), _u11526), _u11524)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11523, _u11522), _u11526), _u11525))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11530)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11528, tc_HOL_Obool)), _u11529), _u11530)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11527), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11527), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), _u11529)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), _u11530))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11528, tc_HOL_Obool)), _u11529), _u11530)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11533), _u11534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11532), _u11535), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11534), hAPP(c_Nat_OSuc, _u11533))) = c_Groups_Ozero__class_Ozero(_u11532)) )).
% 12.21/12.40 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11533), _u11534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11532), _u11535), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11534), hAPP(c_Nat_OSuc, _u11533))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11532), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11532), _u11535), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11534), _u11533))), hAPP(_u11535, _u11533))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11537)), _u11538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11536), _u11539), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11538, hAPP(c_Nat_OSuc, _u11537))) = c_Groups_Ozero__class_Ozero(_u11536)) )).
% 12.21/12.40 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11537)), _u11538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11536), _u11539), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11538, hAPP(c_Nat_OSuc, _u11537))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11536), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11536), _u11539), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11538, _u11537))), hAPP(_u11539, hAPP(c_Nat_OSuc, _u11537)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11541), _u11542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11540), _u11543), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11541, _u11542)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11540), hAPP(_u11543, _u11541)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11540), _u11543), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11541, _u11542)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11545), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11544), _u11547), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11545, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), _u11548))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11544), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11544), _u11547), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11545, _u11546))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11544), _u11547), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), _u11548))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11550), _u11551)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11550, _u11549), hAPP(hAPP(c_COMBS(_u11550, _u11549, _u11549), hAPP(hAPP(c_COMBS(_u11550, _u11549, tc_fun(_u11549, _u11549)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11549, tc_fun(_u11549, _u11549)), _u11550), c_If(_u11549)), _u11552)), _u11553)), _u11554)), _u11551) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11549), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11550, _u11549), _u11553), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11550, tc_HOL_Obool)), _u11551), hAPP(c_Set_OCollect(_u11550), _u11552)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11550, _u11549), _u11554), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11550, tc_HOL_Obool)), _u11551), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11550, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u11550), _u11552)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11555) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11556), _u11557)) | ~hBOOL(hAPP(hAPP(c_member(_u11556), _u11558), _u11557)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11556, _u11555), _u11559), _u11557) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11555), hAPP(_u11559, _u11558)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11556, _u11555), _u11559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11556, tc_HOL_Obool)), _u11557), hAPP(hAPP(c_Set_Oinsert(_u11556), _u11558), c_Orderings_Obot__class_Obot(tc_fun(_u11556, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11560) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11561), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(_u11561), _u11563), _u11562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11561, _u11560), _u11564), _u11562) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11560), hAPP(_u11564, _u11563)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11561, _u11560), _u11564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11561, tc_HOL_Obool)), _u11562), hAPP(hAPP(c_Set_Oinsert(_u11561), _u11563), c_Orderings_Obot__class_Obot(tc_fun(_u11561, tc_HOL_Obool))))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u11565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11566), _u11567)) | ~hBOOL(hAPP(hAPP(c_member(_u11566), _u11568), _u11567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11566, tc_HOL_Obool)), _u11567), hAPP(hAPP(c_Set_Oinsert(_u11566), _u11568), c_Orderings_Obot__class_Obot(tc_fun(_u11566, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11565), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), _u11567)), hAPP(_u11569, _u11568))) )).
% 12.21/12.40 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u11565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11566), _u11567)) | hBOOL(hAPP(hAPP(c_member(_u11566), _u11568), _u11567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11566, tc_HOL_Obool)), _u11567), hAPP(hAPP(c_Set_Oinsert(_u11566), _u11568), c_Orderings_Obot__class_Obot(tc_fun(_u11566, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), _u11567)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u11570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11571), _u11572)) | ~hBOOL(hAPP(hAPP(c_member(_u11571), _u11573), _u11572)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11571, _u11570), _u11574), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11571, tc_HOL_Obool)), _u11572), hAPP(hAPP(c_Set_Oinsert(_u11571), _u11573), c_Orderings_Obot__class_Obot(tc_fun(_u11571, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11570), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11571, _u11570), _u11574), _u11572)), hAPP(_u11574, _u11573))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u11575) | ( _u11576 = c_Groups_Oone__class_Oone(_u11575)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11575), hAPP(c_Power_Opower__class_Opower(_u11575), _u11576)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11577)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11575), hAPP(hAPP(c_Power_Opower__class_Opower(_u11575), _u11576), _u11577)), c_Groups_Oone__class_Oone(_u11575))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11575), _u11576), c_Groups_Oone__class_Oone(_u11575)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11578), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11578), c_Groups_Oone__class_Oone(_u11578)), c_Groups_Oone__class_Oone(_u11578))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11578), c_Nat_Osemiring__1__class_Oof__nat(_u11578)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11579))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11578), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11578), _u11579)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11578), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11578), _u11579)), c_Groups_Oone__class_Oone(_u11578)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u11580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11581), _u11582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11580), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11580, _u11580), hAPP(hAPP(c_COMBB(_u11580, tc_fun(_u11580, _u11580), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11580)), _u11583)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11580, tc_Nat_Onat), _u11583), 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, _u11581, _u11582)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11580), hAPP(_u11583, _u11581)), hAPP(_u11583, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11582), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.40 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u11580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11581), _u11582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11580), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11580, _u11580), hAPP(hAPP(c_COMBB(_u11580, tc_fun(_u11580, _u11580), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11580)), _u11583)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11580, tc_Nat_Onat), _u11583), 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, _u11581, _u11582)) = c_Groups_Ozero__class_Ozero(_u11580)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11584) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11584), c_Groups_Oone__class_Oone(_u11584)), c_Groups_Oone__class_Oone(_u11584))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11584), hAPP(hAPP(c_COMBB(_u11584, _u11584, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u11584), _u11585)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u11584, _u11584), hAPP(hAPP(c_COMBB(_u11584, tc_fun(_u11584, _u11584), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u11584)), c_Nat_Osemiring__1__class_Oof__nat(_u11584))), _u11586))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11587))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11584), _u11587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11584), _u11585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11584), _u11585), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11587), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11586))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u11589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11592), _u11591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11589), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11592)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11591))) | hBOOL(hAPP(hAPP(c_member(_u11590), skolem241(_u11593, _u11592, _u11591, _u11590, _u11589)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592))) )).
% 12.21/12.40 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u11589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11592), _u11591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11589), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11592)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11589), c_Groups_Ozero__class_Ozero(_u11589)), hAPP(_u11593, skolem241(_u11593, _u11592, _u11591, _u11590, _u11589)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u11595) | ~class_Rings_Osemiring__1(_u11595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11595), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11595), hAPP(c_Finite__Set_Ocard(_u11596), _u11597))), _u11599))) | hBOOL(hAPP(hAPP(c_member(_u11596), skolem242(_u11599, _u11598, _u11597, _u11596, _u11595)), _u11597)) )).
% 12.21/12.40 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u11595) | ~class_Rings_Osemiring__1(_u11595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11595), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11595), hAPP(c_Finite__Set_Ocard(_u11596), _u11597))), _u11599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11595), hAPP(_u11598, skolem242(_u11599, _u11598, _u11597, _u11596, _u11595))), _u11599)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11602, tc_HOL_Obool)), _u11603), _u11604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11601), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11603)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11604))) | hBOOL(hAPP(hAPP(c_member(_u11602), skolem243(_u11605, _u11604, _u11603, _u11602, _u11601)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11602, tc_HOL_Obool)), _u11603), _u11604))) )).
% 12.21/12.40 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11602, tc_HOL_Obool)), _u11603), _u11604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11601), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11603)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11604))) | ( hAPP(_u11605, skolem243(_u11605, _u11604, _u11603, _u11602, _u11601)) != c_Groups_Ozero__class_Ozero(_u11601)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11608), _u11609)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11608, tc_Nat_Onat), _u11610), _u11609) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11608), _u11606), _u11609)) | ( hAPP(_u11610, _u11606) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11608), _u11609)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11608, tc_Nat_Onat), _u11610), _u11609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11608), skolem244(_u11610, _u11609, _u11608)), _u11609)) )).
% 12.21/12.40 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11608), _u11609)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11608, tc_Nat_Onat), _u11610), _u11609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u11610, skolem244(_u11610, _u11609, _u11608)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u11611), _u11612) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11611, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u11611), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11612)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 12.21/12.40 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(_u11613, tc_Nat_Onat), _u11614), _u11615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11613, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11613), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11614)), _u11615)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11620), skolem245(_u11622, _u11621, _u11620)), _u11621)) )).
% 12.21/12.40 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11622, skolem245(_u11622, _u11621, _u11620)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.40 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11616), _u11621)) | ( skolem245(_u11622, _u11621, _u11620) = _u11616) | ( hAPP(_u11622, _u11616) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11619), _u11621)) | ( hAPP(_u11622, _u11619) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11620), skolem246(_u11622, _u11621, _u11620, _u11619)), _u11621)) )).
% 12.21/12.40 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11619), _u11621)) | ( hAPP(_u11622, _u11619) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u11619 != skolem246(_u11622, _u11621, _u11620, _u11619)) )).
% 12.21/12.40 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11619), _u11621)) | ( hAPP(_u11622, _u11619) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11622, skolem246(_u11622, _u11621, _u11620, _u11619)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11627), skolem247(_u11629, _u11628, _u11627)), _u11628)) )).
% 12.21/12.40 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11629, skolem247(_u11629, _u11628, _u11627)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.40 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11623), _u11628)) | ( skolem247(_u11629, _u11628, _u11627) = _u11623) | ( hAPP(_u11629, _u11623) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11626), _u11628)) | ( hAPP(_u11629, _u11626) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11627), skolem248(_u11629, _u11628, _u11627, _u11626)), _u11628)) )).
% 12.21/12.40 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11626), _u11628)) | ( hAPP(_u11629, _u11626) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u11626 != skolem248(_u11629, _u11628, _u11627, _u11626)) )).
% 12.21/12.40 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11626), _u11628)) | ( hAPP(_u11629, _u11626) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11629, skolem248(_u11629, _u11628, _u11627, _u11626)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u11630, 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), _u11630), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11631)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11630), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11631))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11632, tc_Nat_Onat), _u11633), _u11634) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11632, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11632), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11633)), _u11634))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11635), _u11636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11635, tc_HOL_Obool)), _u11636), _u11637)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11635, tc_Nat_Onat), _u11638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11635, tc_HOL_Obool)), _u11637), _u11636)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11635, tc_Nat_Onat), _u11638), _u11637)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11635, tc_Nat_Onat), _u11638), _u11636))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11639) | ~class_Groups_Ocomm__monoid__mult(_u11639) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11639), _u11640), _u11641) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11639), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11639, tc_Int_Oint), _u11640), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11641))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11646), _u11648), _u11650)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11646, tc_Nat_Onat), _u11652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11646, tc_HOL_Obool)), _u11650), hAPP(hAPP(c_Set_Oinsert(_u11646), _u11648), c_Orderings_Obot__class_Obot(tc_fun(_u11646, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11646, tc_Nat_Onat), _u11652), _u11650)), hAPP(_u11652, _u11648))) )).
% 12.21/12.40 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11647), _u11649), _u11651)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11647, tc_Nat_Onat), _u11653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11647, tc_HOL_Obool)), _u11651), hAPP(hAPP(c_Set_Oinsert(_u11647), _u11649), c_Orderings_Obot__class_Obot(tc_fun(_u11647, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11647, tc_Nat_Onat), _u11653), _u11651)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11654, tc_Nat_Onat), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)) = 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(_u11654, tc_Nat_Onat), _u11657), _u11655)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11654, tc_Nat_Onat), _u11657), _u11656))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11654, tc_Nat_Onat), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11658) | ~class_Groups_Ocomm__monoid__mult(_u11658) | ~c_Nat__Transfer_Onat__set(_u11659) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11658), _u11660), _u11659) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11658), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11658, tc_Nat_Onat), _u11660), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11659))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 12.21/12.40 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), _u11661)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u11662))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11663))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11661), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11663), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11662))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Int_Oint), _u11667), _u11666) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11665), c_Int_Onat), _u11667)), _u11666))) | hBOOL(hAPP(hAPP(c_member(_u11665), skolem249(_u11667, _u11666, _u11665)), _u11666)) )).
% 12.21/12.40 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Int_Oint), _u11667), _u11666) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11665), c_Int_Onat), _u11667)), _u11666))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11667, skolem249(_u11667, _u11666, _u11665))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11669), _u11670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11671), _u11672)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11669, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_Nat_Onat, _u11669), c_Finite__Set_Ocard(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), c_Set_OCollect(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), hAPP(c_COMBS(_u11671, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11671), c_fconj), hAPP(hAPP(c_COMBC(_u11671, tc_fun(_u11671, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11671)), _u11672)))), _u11673)))), _u11670) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11674), hAPP(c_Finite__Set_Ocard(_u11671), _u11672))) | hBOOL(hAPP(hAPP(c_member(_u11671), skolem250(_u11674, _u11673, _u11672, _u11671, _u11670, _u11669)), _u11672)) )).
% 12.21/12.40 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11669), _u11670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11671), _u11672)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11669, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_Nat_Onat, _u11669), c_Finite__Set_Ocard(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), c_Set_OCollect(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), hAPP(c_COMBS(_u11671, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11671), c_fconj), hAPP(hAPP(c_COMBC(_u11671, tc_fun(_u11671, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11671)), _u11672)))), _u11673)))), _u11670) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11674), hAPP(c_Finite__Set_Ocard(_u11671), _u11672))) | ( hAPP(c_Finite__Set_Ocard(_u11669), hAPP(c_Set_OCollect(_u11669), hAPP(hAPP(c_COMBS(_u11669, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11669), c_fconj), hAPP(hAPP(c_COMBC(_u11669, tc_fun(_u11669, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11669)), _u11670))), hAPP(hAPP(c_COMBC(_u11669, _u11671, tc_HOL_Obool), _u11673), skolem250(_u11674, _u11673, _u11672, _u11671, _u11670, _u11669))))) != _u11674) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11678)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11677, tc_HOL_Obool)), _u11678), _u11679)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11678)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11679))) | hBOOL(hAPP(hAPP(c_member(_u11677), skolem251(_u11680, _u11679, _u11678, _u11677, _u11676)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11677, tc_HOL_Obool)), _u11678), _u11679))) )).
% 12.21/12.40 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11678)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11677, tc_HOL_Obool)), _u11678), _u11679)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11678)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11679))) | ( hAPP(_u11680, skolem251(_u11680, _u11679, _u11678, _u11677, _u11676)) != c_Groups_Ozero__class_Ozero(_u11676)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11682) | ~class_Groups_Oordered__ab__semigroup__add(_u11682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11683), _u11684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11683, tc_HOL_Obool)), _u11685), _u11684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11682), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11685)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11684))) | hBOOL(hAPP(hAPP(c_member(_u11683), skolem252(_u11686, _u11685, _u11684, _u11683, _u11682)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11683, tc_HOL_Obool)), _u11684), _u11685))) )).
% 12.21/12.40 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11682) | ~class_Groups_Oordered__ab__semigroup__add(_u11682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11683), _u11684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11683, tc_HOL_Obool)), _u11685), _u11684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11682), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11685)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11682), c_Groups_Ozero__class_Ozero(_u11682)), hAPP(_u11686, skolem252(_u11686, _u11685, _u11684, _u11683, _u11682)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | hBOOL(hAPP(hAPP(c_member(_u11690), skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)), _u11691)) )).
% 12.21/12.40 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | hBOOL(hAPP(hAPP(c_member(_u11690), skolem254(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)), _u11691)) )).
% 12.21/12.40 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | ( skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689) != skolem254(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)) )).
% 12.21/12.40 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | ( hAPP(_u11692, skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)) = hAPP(_u11692, skolem254(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689))) )).
% 12.21/12.40 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | ( hAPP(_u11693, hAPP(_u11692, skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689))) != c_Groups_Ozero__class_Ozero(_u11689)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11695, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11696)), _u11697) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11695, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11695, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11696)), _u11697)), hAPP(_u11697, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11698))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11699) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11700) != hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11701)) | ( _u11700 = _u11701) )).
% 12.21/12.40 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11699) | ( _u11700 != _u11701) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11700) = hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11701)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11702) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11702)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11703)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11703)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11704)) = hAPP(c_Nat_OSuc, _u11704)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11705)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11705)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11705))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u11706) | ~hBOOL(hAPP(hAPP(c_member(_u11706), _u11707), hAPP(c_SetInterval_Oord__class_OatMost(_u11706), _u11708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11706), _u11707), _u11708)) )).
% 12.21/12.40 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u11706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11706), _u11707), _u11708)) | hBOOL(hAPP(hAPP(c_member(_u11706), _u11707), hAPP(c_SetInterval_Oord__class_OatMost(_u11706), _u11708))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11709, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11710)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11709), _u11710), _u11711)) )).
% 12.21/12.40 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11709), _u11710), _u11711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11709, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11710)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11711))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__atMost__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11712) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11712), _u11713), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11714))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11712), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11712), _u11713), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11714))), hAPP(_u11713, hAPP(c_Nat_OSuc, _u11714)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atMost__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u11715) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11715, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11715), _u11716)), c_SetInterval_Oord__class_OatLeastAtMost(_u11715, _u11717, _u11718)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11715, _u11717, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11715), _u11716), _u11718))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u11719) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11719, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11719, _u11720, _u11721)), hAPP(c_SetInterval_Oord__class_OatMost(_u11719), _u11722)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11719, _u11720, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11719), _u11721), _u11722))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u11723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11723), _u11724), _u11725)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11723, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11723), _u11724)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11723, _u11724, _u11725)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11723), _u11725)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11726, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11727)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11726, tc_HOL_Obool), tc_Nat_Onat), _u11728), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11729))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11726, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11729, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11727), _u11729))), _u11728)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u11730) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11730), _u11731)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11730, _u11731, _u11732)) = c_Orderings_Obot__class_Obot(tc_fun(_u11730, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u11733) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11733, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11733), _u11734)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11733, _u11734, _u11735)) = c_Orderings_Obot__class_Obot(tc_fun(_u11733, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u11736) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11736, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11736), _u11737)), hAPP(hAPP(c_Set_Oinsert(_u11736), _u11737), c_Orderings_Obot__class_Obot(tc_fun(_u11736, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u11736), _u11737)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u11738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11738), _u11739), _u11740)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11738, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11738), _u11739)), c_SetInterval_Oord__class_OatLeastAtMost(_u11738, _u11739, _u11740)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11738), _u11740)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u11741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11741), _u11742), _u11743)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11741, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11741), _u11742)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11741, _u11742, _u11743)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11741), _u11743)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11744) = 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), _u11744)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11746), _u11747)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11748), _u11749)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11746, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_Nat_Onat, _u11746), c_Finite__Set_Ocard(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), c_Set_OCollect(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), hAPP(c_COMBS(_u11748, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11748), c_fconj), hAPP(hAPP(c_COMBC(_u11748, tc_fun(_u11748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11748)), _u11749)))), _u11750)))), _u11747) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11748, tc_Nat_Onat), _u11751), _u11749)) | hBOOL(hAPP(hAPP(c_member(_u11748), skolem255(_u11751, _u11750, _u11749, _u11748, _u11747, _u11746)), _u11749)) )).
% 12.21/12.40 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11746), _u11747)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11748), _u11749)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11746, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_Nat_Onat, _u11746), c_Finite__Set_Ocard(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), c_Set_OCollect(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), hAPP(c_COMBS(_u11748, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11748), c_fconj), hAPP(hAPP(c_COMBC(_u11748, tc_fun(_u11748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11748)), _u11749)))), _u11750)))), _u11747) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11748, tc_Nat_Onat), _u11751), _u11749)) | ( hAPP(c_Finite__Set_Ocard(_u11746), hAPP(c_Set_OCollect(_u11746), hAPP(hAPP(c_COMBS(_u11746, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11746), c_fconj), hAPP(hAPP(c_COMBC(_u11746, tc_fun(_u11746, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11746)), _u11747))), hAPP(hAPP(c_COMBC(_u11746, _u11748, tc_HOL_Obool), _u11750), skolem255(_u11751, _u11750, _u11749, _u11748, _u11747, _u11746))))) != hAPP(_u11751, skolem255(_u11751, _u11750, _u11749, _u11748, _u11747, _u11746))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11754), _u11755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11754, _u11753), _u11756), _u11755) != c_Groups_Ozero__class_Ozero(_u11753)) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11757), _u11755)) | ( hAPP(_u11756, _u11757) = c_Groups_Ozero__class_Ozero(_u11753)) | hBOOL(hAPP(hAPP(c_member(_u11754), skolem256(_u11757, _u11756, _u11755, _u11754, _u11753)), _u11755)) )).
% 12.21/12.40 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11754), _u11755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11754, _u11753), _u11756), _u11755) != c_Groups_Ozero__class_Ozero(_u11753)) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11757), _u11755)) | ( hAPP(_u11756, _u11757) = c_Groups_Ozero__class_Ozero(_u11753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11753), c_Groups_Ozero__class_Ozero(_u11753)), hAPP(_u11756, skolem256(_u11757, _u11756, _u11755, _u11754, _u11753)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11760, _u11759), _u11762), _u11761) != _u11763) | ~hBOOL(hAPP(hAPP(c_member(_u11760), _u11764), _u11761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11759), hAPP(_u11762, _u11764)), _u11763)) | hBOOL(hAPP(hAPP(c_member(_u11760), skolem257(_u11764, _u11763, _u11762, _u11761, _u11760, _u11759)), _u11761)) )).
% 12.21/12.40 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11760, _u11759), _u11762), _u11761) != _u11763) | ~hBOOL(hAPP(hAPP(c_member(_u11760), _u11764), _u11761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11759), hAPP(_u11762, _u11764)), _u11763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11759), c_Groups_Ozero__class_Ozero(_u11759)), hAPP(_u11762, skolem257(_u11764, _u11763, _u11762, _u11761, _u11760, _u11759)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11766, skolem258(_u11768, _u11767, _u11766))), hAPP(_u11767, skolem258(_u11768, _u11767, _u11766)))) | ( 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), _u11767), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11768))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11766), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11768))) = 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)), _u11767)), _u11766)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11768))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11771), _u11772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11771, tc_HOL_Obool)), _u11773), _u11772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11772) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11773)) | hBOOL(hAPP(hAPP(c_member(_u11771), skolem259(_u11774, _u11773, _u11772, _u11771, _u11770)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11771, tc_HOL_Obool)), _u11772), _u11773))) )).
% 12.21/12.40 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11771), _u11772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11771, tc_HOL_Obool)), _u11773), _u11772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11772) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11773)) | ( hAPP(_u11774, skolem259(_u11774, _u11773, _u11772, _u11771, _u11770)) != c_Groups_Ozero__class_Ozero(_u11770)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11775) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11776) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11777)) | ( _u11776 = _u11777) )).
% 12.21/12.40 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11775) | ( _u11776 != _u11777) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11776) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11777)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u11778) | ~hBOOL(hAPP(hAPP(c_member(_u11778), _u11779), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11778), _u11780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11778), _u11780), _u11779)) )).
% 12.21/12.40 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u11778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11778), _u11780), _u11779)) | hBOOL(hAPP(hAPP(c_member(_u11778), _u11779), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11778), _u11780))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11781, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11782)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11783))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11781), _u11783), _u11782)) )).
% 12.21/12.40 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11781), _u11783), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11781, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11782)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11783))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u11784) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11784, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11784), _u11785)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11784), _u11785)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u11786) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11786, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11786), _u11787)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11786), _u11787)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u11788) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11788, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11788, _u11789, _u11790)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11788), _u11790)) = c_Orderings_Obot__class_Obot(tc_fun(_u11788, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u11791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11791), _u11792), _u11793)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11791, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11791, _u11792, _u11793)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11791), _u11793)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11791), _u11792)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11794) | ( hAPP(c_Set_Oimage(_u11794, _u11794, c_Groups_Ouminus__class_Ouminus(_u11794)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11794), _u11795)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11794), hAPP(c_Groups_Ouminus__class_Ouminus(_u11794), _u11795))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11796) | ( hAPP(c_Set_Oimage(_u11796, _u11796, c_Groups_Ouminus__class_Ouminus(_u11796)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11796), _u11797)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11796), hAPP(c_Groups_Ouminus__class_Ouminus(_u11796), _u11797))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u11798) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11798, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11798, _u11799, _u11800)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11798), _u11800)) = c_Orderings_Obot__class_Obot(tc_fun(_u11798, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11801)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11801)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11801)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u11802) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11802), _u11803), _u11804)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11802, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11802, _u11803, _u11804)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11802), _u11804)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11802), _u11803)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11807), _u11808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11807, tc_HOL_Obool)), _u11809), _u11808)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11809) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11808)) | hBOOL(hAPP(hAPP(c_member(_u11807), skolem260(_u11810, _u11809, _u11808, _u11807, _u11806)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11807, tc_HOL_Obool)), _u11808), _u11809))) )).
% 12.21/12.40 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11807), _u11808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11807, tc_HOL_Obool)), _u11809), _u11808)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11809) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11808)) | ( hAPP(_u11810, skolem260(_u11810, _u11809, _u11808, _u11807, _u11806)) != c_Groups_Ozero__class_Ozero(_u11806)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u11811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11811), _u11812), _u11813)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11811, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11811, _u11812, _u11813)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11811), _u11813)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11811), _u11812)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11814) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11815) != hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11816)) | ( _u11815 = _u11816) )).
% 12.21/12.40 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11814) | ( _u11815 != _u11816) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11815) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11816)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u11817) | ~hBOOL(hAPP(hAPP(c_member(_u11817), _u11818), hAPP(c_SetInterval_Oord__class_OatLeast(_u11817), _u11819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11817), _u11819), _u11818)) )).
% 12.21/12.40 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u11817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11817), _u11819), _u11818)) | hBOOL(hAPP(hAPP(c_member(_u11817), _u11818), hAPP(c_SetInterval_Oord__class_OatLeast(_u11817), _u11819))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11820, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11821)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11820), _u11822), _u11821)) )).
% 12.21/12.40 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11820), _u11822), _u11821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11820, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11821)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11822))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u11823) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11823, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11823), _u11824)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11823), _u11824)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u11825) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11825, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11825), _u11826)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11825), _u11826)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11827)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11827)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u11828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11828), _u11829), _u11830)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11828, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11828, _u11829), _u11830)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11828), _u11830)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11828), _u11829)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u11831) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11831, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11831, _u11832), _u11833)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11831), _u11833)) = c_Orderings_Obot__class_Obot(tc_fun(_u11831, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u11834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11834, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11834, _u11835, _u11836)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11834), _u11837)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11834, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11834), _u11835), _u11837), _u11836)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u11838) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11838, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11838), _u11839)), c_SetInterval_Oord__class_OatLeastAtMost(_u11838, _u11840, _u11841)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11838, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11838), _u11839), _u11840), _u11841)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_UN__atLeast__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u11842) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11842, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11842, _u11843, _u11844)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11842), _u11844)) = c_Orderings_Obot__class_Obot(tc_fun(_u11842, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11845) | ( hAPP(c_Set_Oimage(_u11845, _u11845, c_Groups_Ouminus__class_Ouminus(_u11845)), hAPP(c_SetInterval_Oord__class_OatMost(_u11845), _u11846)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11845), hAPP(c_Groups_Ouminus__class_Ouminus(_u11845), _u11846))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11847) | ( hAPP(c_Set_Oimage(_u11847, _u11847, c_Groups_Ouminus__class_Ouminus(_u11847)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11847), _u11848)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11847), hAPP(c_Groups_Ouminus__class_Ouminus(_u11847), _u11848))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11849)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u11849)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11849), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u11850) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11850, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11850), _u11851)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11850), _u11851)) = hAPP(hAPP(c_Set_Oinsert(_u11850), _u11851), c_Orderings_Obot__class_Obot(tc_fun(_u11850, tc_HOL_Obool)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u11852) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11852, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11852), _u11853), c_Orderings_Obot__class_Obot(tc_fun(_u11852, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11852), _u11853)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11852), _u11853)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11855) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11856), _u11857)) | ( _u11857 = c_Orderings_Obot__class_Obot(tc_fun(_u11856, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11858), _u11857)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11859), _u11857))) | hBOOL(hAPP(hAPP(c_member(_u11856), skolem261(_u11859, _u11858, _u11857, _u11856, _u11855)), _u11857)) )).
% 12.21/12.40 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11855) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11856), _u11857)) | ( _u11857 = c_Orderings_Obot__class_Obot(tc_fun(_u11856, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11858), _u11857)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11859), _u11857))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(_u11858, skolem261(_u11859, _u11858, _u11857, _u11856, _u11855))), hAPP(_u11859, skolem261(_u11859, _u11858, _u11857, _u11856, _u11855)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), _u11862), _u11863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), c_Groups_Ozero__class_Ozero(_u11861)), skolem262(_u11863, _u11862, _u11861))) )).
% 12.21/12.40 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), _u11862), _u11863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), skolem262(_u11863, _u11862, _u11861)), c_Groups_Oone__class_Oone(_u11861))) )).
% 12.21/12.40 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), _u11862), _u11863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11861), skolem262(_u11863, _u11862, _u11861)), _u11862)), _u11863)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11865) | ~class_Groups_Ocomm__monoid__mult(_u11865) | ( _u11866 != _u11867) | ~c_Nat__Transfer_Onat__set(_u11867) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11868), _u11866) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11869), _u11867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem263(_u11869, _u11868, _u11867, _u11866, _u11865))) )).
% 12.21/12.40 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11865) | ~class_Groups_Ocomm__monoid__mult(_u11865) | ( _u11866 != _u11867) | ~c_Nat__Transfer_Onat__set(_u11867) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11868), _u11866) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11869), _u11867)) | ( hAPP(_u11868, skolem263(_u11869, _u11868, _u11867, _u11866, _u11865)) != hAPP(_u11869, skolem263(_u11869, _u11868, _u11867, _u11866, _u11865))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u11870) | ( _u11871 != c_Groups_Ozero__class_Ozero(_u11870)) | ( c_Groups_Osgn__class_Osgn(_u11870, _u11871) = c_Groups_Ozero__class_Ozero(_u11870)) )).
% 12.21/12.40 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u11870) | ( _u11871 = c_Groups_Ozero__class_Ozero(_u11870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), c_Groups_Ozero__class_Ozero(_u11870)), _u11871)) | ( c_Groups_Osgn__class_Osgn(_u11870, _u11871) = c_Groups_Oone__class_Oone(_u11870)) )).
% 12.21/12.40 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u11870) | ( _u11871 = c_Groups_Ozero__class_Ozero(_u11870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), c_Groups_Ozero__class_Ozero(_u11870)), _u11871)) | ( c_Groups_Osgn__class_Osgn(_u11870, _u11871) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11870), c_Groups_Oone__class_Oone(_u11870))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u11872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11872), _u11873), c_Groups_Ozero__class_Ozero(_u11872))) | ( c_Groups_Osgn__class_Osgn(_u11872, _u11873) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11872), c_Groups_Oone__class_Oone(_u11872))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u11874) | ( c_Groups_Osgn__class_Osgn(_u11874, _u11875) != hAPP(c_Groups_Ouminus__class_Ouminus(_u11874), c_Groups_Oone__class_Oone(_u11874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11875), c_Groups_Ozero__class_Ozero(_u11874))) )).
% 12.21/12.40 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u11874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11875), c_Groups_Ozero__class_Ozero(_u11874))) | ( c_Groups_Osgn__class_Osgn(_u11874, _u11875) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11874), c_Groups_Oone__class_Oone(_u11874))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u11876) | ( c_Groups_Osgn__class_Osgn(_u11876, c_Groups_Ozero__class_Ozero(_u11876)) = c_Groups_Ozero__class_Ozero(_u11876)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u11877) | ( c_Groups_Osgn__class_Osgn(_u11877, _u11878) != c_Groups_Ozero__class_Ozero(_u11877)) | ( _u11878 = c_Groups_Ozero__class_Ozero(_u11877)) )).
% 12.21/12.40 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u11877) | ( _u11878 != c_Groups_Ozero__class_Ozero(_u11877)) | ( c_Groups_Osgn__class_Osgn(_u11877, _u11878) = c_Groups_Ozero__class_Ozero(_u11877)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u11879) | ( c_Groups_Osgn__class_Osgn(_u11879, c_Groups_Osgn__class_Osgn(_u11879, _u11880)) = c_Groups_Osgn__class_Osgn(_u11879, _u11880)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u11881) | ( c_Groups_Osgn__class_Osgn(_u11881, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11881), _u11882), _u11883)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11881), c_Groups_Osgn__class_Osgn(_u11881, _u11882)), c_Groups_Osgn__class_Osgn(_u11881, _u11883))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), c_Groups_Osgn__class_Osgn(_u11884, _u11885)), c_Groups_Ozero__class_Ozero(_u11884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), _u11885), c_Groups_Ozero__class_Ozero(_u11884))) )).
% 12.21/12.40 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), _u11885), c_Groups_Ozero__class_Ozero(_u11884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), c_Groups_Osgn__class_Osgn(_u11884, _u11885)), c_Groups_Ozero__class_Ozero(_u11884))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u11886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), c_Groups_Osgn__class_Osgn(_u11886, _u11887))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), _u11887)) )).
% 12.21/12.40 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u11886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), _u11887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), c_Groups_Osgn__class_Osgn(_u11886, _u11887))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u11888) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11888), c_Groups_Ozero__class_Ozero(_u11888)), _u11889)) | ( c_Groups_Osgn__class_Osgn(_u11888, _u11889) = c_Groups_Oone__class_Oone(_u11888)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u11890) | ( c_Groups_Osgn__class_Osgn(_u11890, _u11891) != c_Groups_Oone__class_Oone(_u11890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11890), c_Groups_Ozero__class_Ozero(_u11890)), _u11891)) )).
% 12.21/12.40 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u11890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11890), c_Groups_Ozero__class_Ozero(_u11890)), _u11891)) | ( c_Groups_Osgn__class_Osgn(_u11890, _u11891) = c_Groups_Oone__class_Oone(_u11890)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zsgn__def-1, axiom, ( ( _u11893 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11893) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.40 cnf(fact_zsgn__def-2, axiom, ( ( _u11894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11894)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11894) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.40 cnf(fact_zsgn__def-3, axiom, ( ( _u11894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11894)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11894) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u11895, _u11896, _u11897, c_Code__Numeral_OSuc__code__numeral(_u11898)) = hAPP(_u11897, _u11898)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_decr__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11900), 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), _u11900), _u11901))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11899))), _u11901)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_incr__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11903), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11904), 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), _u11904), _u11903))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11902)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11905) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11905), hAPP(c_Groups_Oabs__class_Oabs(_u11905), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11906, _u11905), _u11907), _u11908))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11906, _u11905), hAPP(hAPP(c_COMBB(_u11905, _u11905, _u11906), c_Groups_Oabs__class_Oabs(_u11905)), _u11907)), _u11908))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11909), c_Groups_Ozero__class_Ozero(_u11909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11910, _u11909), hAPP(hAPP(c_COMBB(_u11909, _u11909, _u11910), c_Groups_Oabs__class_Oabs(_u11909)), _u11911)), _u11912))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11913) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11913), _u11914), _u11915)) = hAPP(c_Groups_Oabs__class_Oabs(_u11913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11913), _u11915), _u11914))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11916) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11916), hAPP(c_Groups_Oabs__class_Oabs(_u11916), _u11917)), c_Groups_Ozero__class_Ozero(_u11916))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11918) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11918), c_Groups_Ozero__class_Ozero(_u11918)), hAPP(c_Groups_Oabs__class_Oabs(_u11918), _u11919))) | ( _u11919 != c_Groups_Ozero__class_Ozero(_u11918)) )).
% 12.21/12.40 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11918) | ( _u11919 = c_Groups_Ozero__class_Ozero(_u11918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11918), c_Groups_Ozero__class_Ozero(_u11918)), hAPP(c_Groups_Oabs__class_Oabs(_u11918), _u11919))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11920), c_Groups_Ozero__class_Ozero(_u11920)), _u11921)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11920), _u11921) = _u11921) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11922) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11922), c_Groups_Ozero__class_Ozero(_u11922)), hAPP(c_Groups_Oabs__class_Oabs(_u11922), _u11923))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11924) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11924), hAPP(c_Groups_Oabs__class_Oabs(_u11924), _u11925)), c_Groups_Ozero__class_Ozero(_u11924))) | ( _u11925 = c_Groups_Ozero__class_Ozero(_u11924)) )).
% 12.21/12.40 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11924) | ( _u11925 != c_Groups_Ozero__class_Ozero(_u11924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11924), hAPP(c_Groups_Oabs__class_Oabs(_u11924), _u11925)), c_Groups_Ozero__class_Ozero(_u11924))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11927)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11926), _u11927) = _u11927) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11928), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11929, _u11928), hAPP(hAPP(c_COMBB(_u11928, _u11928, _u11929), c_Groups_Oabs__class_Oabs(_u11928)), _u11930)), _u11931)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11929, _u11928), hAPP(hAPP(c_COMBB(_u11928, _u11928, _u11929), c_Groups_Oabs__class_Oabs(_u11928)), _u11930)), _u11931)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u11932) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11932), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11932), _u11933)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11932), _u11933)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__int__eq-1, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11934)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11934)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u11935) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11935), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11936, _u11935), _u11937), _u11938)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11936, _u11935), hAPP(hAPP(c_COMBB(_u11935, _u11935, _u11936), c_Groups_Oabs__class_Oabs(_u11935)), _u11937)), _u11938)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u11939) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11939), c_Groups_Oone__class_Oone(_u11939)) = c_Groups_Oone__class_Oone(_u11939)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11940) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11940), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11940), _u11941), _u11942)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11940), hAPP(c_Groups_Oabs__class_Oabs(_u11940), _u11941)), hAPP(c_Groups_Oabs__class_Oabs(_u11940), _u11942))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11943) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11943), hAPP(c_Groups_Ouminus__class_Ouminus(_u11943), _u11944)) = hAPP(c_Groups_Oabs__class_Oabs(_u11943), _u11944)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11945) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11945), hAPP(c_Groups_Oabs__class_Oabs(_u11945), _u11946)) = hAPP(c_Groups_Oabs__class_Oabs(_u11945), _u11946)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u11947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11947), _u11948), _u11949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11947), hAPP(c_Groups_Oabs__class_Oabs(_u11947), _u11948)), hAPP(c_Groups_Oabs__class_Oabs(_u11947), _u11949))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u11950) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), hAPP(c_Groups_Oabs__class_Oabs(_u11950), _u11951)), hAPP(c_Groups_Oabs__class_Oabs(_u11950), _u11951)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), _u11951), _u11951)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11952) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11952), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11952), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11953)), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11954))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11952), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11953)), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11954))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u11955) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11955), hAPP(hAPP(c_Power_Opower__class_Opower(_u11955), _u11956), _u11957)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11955), hAPP(c_Groups_Oabs__class_Oabs(_u11955), _u11956)), _u11957)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11958) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11958), _u11959) != c_Groups_Ozero__class_Ozero(_u11958)) | ( _u11959 = c_Groups_Ozero__class_Ozero(_u11958)) )).
% 12.21/12.40 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11958) | ( _u11959 != c_Groups_Ozero__class_Ozero(_u11958)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11958), _u11959) = c_Groups_Ozero__class_Ozero(_u11958)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11960) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11960), c_Groups_Ozero__class_Ozero(_u11960)) = c_Groups_Ozero__class_Ozero(_u11960)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11961), hAPP(c_Groups_Oabs__class_Oabs(_u11961), _u11962)), _u11963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11961), _u11962), _u11963)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11964), _u11965), hAPP(c_Groups_Oabs__class_Oabs(_u11964), _u11965))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11966) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11966), hAPP(c_Groups_Oabs__class_Oabs(_u11966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11966), hAPP(c_Groups_Oabs__class_Oabs(_u11966), _u11967)), hAPP(c_Groups_Oabs__class_Oabs(_u11966), _u11968)))), hAPP(c_Groups_Oabs__class_Oabs(_u11966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11966), _u11967), _u11968)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11969), hAPP(c_Groups_Oabs__class_Oabs(_u11969), _u11970)), hAPP(c_Groups_Oabs__class_Oabs(_u11969), _u11971))), hAPP(c_Groups_Oabs__class_Oabs(_u11969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11969), _u11970), _u11971)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11972) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11972), hAPP(c_Groups_Oabs__class_Oabs(_u11972), _u11973)), hAPP(c_Groups_Oabs__class_Oabs(_u11972), _u11974))), hAPP(c_Groups_Oabs__class_Oabs(_u11972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11972), _u11974), _u11973)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u11975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11975), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11976)), _u11977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11975), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11978)), _u11979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11975), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11975), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11976)), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11978))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11975), _u11977), _u11979))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11980), hAPP(c_Groups_Oabs__class_Oabs(_u11980), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11980), _u11981), _u11982))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11980), hAPP(c_Groups_Oabs__class_Oabs(_u11980), _u11981)), hAPP(c_Groups_Oabs__class_Oabs(_u11980), _u11982)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11983) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11983), hAPP(c_Groups_Ouminus__class_Ouminus(_u11983), _u11984)), hAPP(c_Groups_Oabs__class_Oabs(_u11983), _u11984))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Oabs__class_Oabs(_u11985), _u11986)), _u11987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), _u11986), _u11987)) )).
% 12.21/12.40 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Oabs__class_Oabs(_u11985), _u11986)), _u11987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Ouminus__class_Ouminus(_u11985), _u11986)), _u11987)) )).
% 12.21/12.40 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), _u11986), _u11987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Ouminus__class_Ouminus(_u11985), _u11986)), _u11987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Oabs__class_Oabs(_u11985), _u11986)), _u11987)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11988), _u11989), _u11990)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11988), hAPP(c_Groups_Ouminus__class_Ouminus(_u11988), _u11989)), _u11990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11988), hAPP(c_Groups_Oabs__class_Oabs(_u11988), _u11989)), _u11990)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11991), hAPP(c_Groups_Oabs__class_Oabs(_u11991), _u11992)), _u11993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11991), hAPP(c_Groups_Ouminus__class_Ouminus(_u11991), _u11992)), _u11993)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Oabs__class_Oabs(_u11994), _u11995)), _u11996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), _u11995), _u11996)) )).
% 12.21/12.40 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Oabs__class_Oabs(_u11994), _u11995)), _u11996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Ouminus__class_Ouminus(_u11994), _u11995)), _u11996)) )).
% 12.21/12.40 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), _u11995), _u11996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Ouminus__class_Ouminus(_u11994), _u11995)), _u11996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Oabs__class_Oabs(_u11994), _u11995)), _u11996)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u11997) | ( _u11998 = c_Groups_Ozero__class_Ozero(_u11997)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11997), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11997), _u11999), _u11998)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11997), hAPP(c_Groups_Oabs__class_Oabs(_u11997), _u11999)), hAPP(c_Groups_Oabs__class_Oabs(_u11997), _u11998))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u12000) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12000), hAPP(hAPP(c_Power_Opower__class_Opower(_u12000), hAPP(c_Groups_Ouminus__class_Ouminus(_u12000), _u12001)), _u12002)) = hAPP(c_Groups_Oabs__class_Oabs(_u12000), hAPP(hAPP(c_Power_Opower__class_Opower(_u12000), _u12001), _u12002))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__zmult__eq__1-1, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12003), _u12004)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12003) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u12005) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12005), _u12006) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12005), _u12006), c_Groups_Osgn__class_Osgn(_u12005, _u12006))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12007) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12007), c_Groups_Osgn__class_Osgn(_u12007, _u12008)), hAPP(c_Groups_Oabs__class_Oabs(_u12007), _u12008)) = _u12008) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u12009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12009), c_Groups_Ozero__class_Ozero(_u12009)), _u12010)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12009), hAPP(c_Groups_Oabs__class_Oabs(_u12009), _u12011)), _u12010) = hAPP(c_Groups_Oabs__class_Oabs(_u12009), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12009), _u12011), _u12010))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12014)) )).
% 12.21/12.40 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12014), c_Groups_Ozero__class_Ozero(_u12012))) )).
% 12.21/12.40 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12013), c_Groups_Ozero__class_Ozero(_u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12014)) )).
% 12.21/12.40 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12013), c_Groups_Ozero__class_Ozero(_u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12014), c_Groups_Ozero__class_Ozero(_u12012))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12015), hAPP(c_Groups_Oabs__class_Oabs(_u12015), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12015), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12015), _u12016), _u12017)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12015), _u12018), _u12019)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12015), hAPP(c_Groups_Oabs__class_Oabs(_u12015), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12015), _u12016), _u12018))), hAPP(c_Groups_Oabs__class_Oabs(_u12015), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12015), _u12017), _u12019))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12020), hAPP(c_Groups_Oabs__class_Oabs(_u12020), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12020), _u12021), _u12022))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12020), hAPP(c_Groups_Oabs__class_Oabs(_u12020), _u12021)), hAPP(c_Groups_Oabs__class_Oabs(_u12020), _u12022)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12023), hAPP(c_Groups_Ouminus__class_Ouminus(_u12023), hAPP(c_Groups_Oabs__class_Oabs(_u12023), _u12024))), c_Groups_Ozero__class_Ozero(_u12023))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12025) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12025), _u12026), c_Groups_Ozero__class_Ozero(_u12025))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12025), _u12026) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12025), _u12026)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u12027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12027), _u12028), c_Groups_Ozero__class_Ozero(_u12027))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12027), _u12028) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12027), _u12028)) )).
% 12.21/12.40 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u12027) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12027), _u12028), c_Groups_Ozero__class_Ozero(_u12027))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12027), _u12028) = _u12028) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12029), _u12030), c_Groups_Ozero__class_Ozero(_u12029))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12029), _u12030) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12029), _u12030)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12031) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12031), c_Groups_Ozero__class_Ozero(_u12031)), hAPP(hAPP(c_Power_Opower__class_Opower(_u12031), hAPP(c_Groups_Oabs__class_Oabs(_u12031), _u12032)), _u12033))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12034), c_Groups_Ozero__class_Ozero(_u12034)), _u12035)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12034), hAPP(c_Groups_Oabs__class_Oabs(_u12034), _u12036)), _u12035) = hAPP(c_Groups_Oabs__class_Oabs(_u12034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12034), _u12036), _u12035))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u12037) | ~class_Rings_Olinordered__idom(_u12037) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12037), hAPP(c_Int_Onumber__class_Onumber__of(_u12037), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u12037)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zabs__less__one__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12039)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u12039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.40 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u12040 != 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), _u12040)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12042), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12042) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12042)) )).
% 12.21/12.40 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12043), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12043) = _u12043) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_nat__abs__mult__distrib-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12044), _u12045))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12044))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12045)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zero__le__zpower__abs-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12046)), _u12047))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u12048) | ~class_Rings_Olinordered__idom(_u12048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)), c_Groups_Ozero__class_Ozero(_u12048))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049))) )).
% 12.21/12.40 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u12048) | ~class_Rings_Olinordered__idom(_u12048) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)), c_Groups_Ozero__class_Ozero(_u12048))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)) = hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u12050) | ~class_Rings_Olinordered__idom(_u12050) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12050), hAPP(hAPP(c_Power_Opower__class_Opower(_u12050), hAPP(c_Int_Onumber__class_Onumber__of(_u12050), c_Int_OMin)), _u12051)) = c_Groups_Oone__class_Oone(_u12050)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_zero__less__zpower__abs__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12054)), _u12056))) | ( _u12054 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12056 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40 cnf(fact_zero__less__zpower__abs__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12055)), _u12057))) | ( _u12055 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.40 cnf(fact_zero__less__zpower__abs__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12055)), _u12057))) | ( _u12057 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u12058) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12058), hAPP(hAPP(c_Power_Opower__class_Opower(_u12058), _u12059), 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(_u12058), _u12059), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12060) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u12060), hAPP(c_Groups_Oabs__class_Oabs(_u12060), _u12061)), 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(_u12060), _u12061), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12062, _u12063, _u12064, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12063) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u12067 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12067, _u12069) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.40 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u12068 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12070 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12068, _u12070) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12068)) )).
% 12.21/12.40 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u12068 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12070 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12068, _u12070) = 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, _u12070))), 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)), _u12070)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12068))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12070), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12068), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u12068, _u12070)), 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), _u12070))))), c_Divides_Opdivmod(_u12068, _u12070))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u12071), _u12072) = 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), _u12071)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12072))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_divmod__int__code-1, axiom, ( ( _u12075 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12075, _u12077) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.40 cnf(fact_divmod__int__code-2, axiom, ( ( _u12076 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12078 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12076, _u12078) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12076)) )).
% 12.21/12.40 cnf(fact_divmod__int__code-3, axiom, ( ( _u12076 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12076, _u12078) = 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, _u12078))), 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, _u12076)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12078))), c_Divides_Opdivmod(_u12076, _u12078)), 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), _u12078))))), c_Divides_Opdivmod(_u12076, _u12078))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12079, _u12080), hAPP(c_Product__Type_Oapsnd(_u12081, _u12080, _u12079, _u12082), _u12083)) = hAPP(c_Product__Type_Ofst(_u12079, _u12081), _u12083)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12084, _u12085, _u12086, _u12087), hAPP(hAPP(c_Product__Type_OPair(_u12086, _u12084), _u12088), _u12089)) = hAPP(hAPP(c_Product__Type_OPair(_u12086, _u12085), _u12088), hAPP(_u12087, _u12089))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12090, _u12091, _u12092, _u12093), hAPP(c_Product__Type_Oapsnd(_u12094, _u12090, _u12092, _u12095), _u12096)) = hAPP(c_Product__Type_Oapsnd(_u12094, _u12091, _u12092, hAPP(c_Fun_Ocomp(_u12090, _u12091, _u12094, _u12093), _u12095)), _u12096)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12097, _u12098), hAPP(c_Product__Type_Oapsnd(_u12099, _u12098, _u12097, _u12100), _u12101)) = hAPP(_u12100, hAPP(c_Product__Type_Osnd(_u12097, _u12099), _u12101))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12108, _u12110, _u12112, _u12114), _u12116) != hAPP(c_Product__Type_Oapsnd(_u12108, _u12110, _u12112, _u12118), _u12116)) | ( hAPP(_u12114, hAPP(c_Product__Type_Osnd(_u12112, _u12108), _u12116)) = hAPP(_u12118, hAPP(c_Product__Type_Osnd(_u12112, _u12108), _u12116))) )).
% 12.21/12.40 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u12115, hAPP(c_Product__Type_Osnd(_u12113, _u12109), _u12117)) != hAPP(_u12119, hAPP(c_Product__Type_Osnd(_u12113, _u12109), _u12117))) | ( hAPP(c_Product__Type_Oapsnd(_u12109, _u12111, _u12113, _u12115), _u12117) = hAPP(c_Product__Type_Oapsnd(_u12109, _u12111, _u12113, _u12119), _u12117)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_negateSnd__def-1, axiom, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u12122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12124, _u12122) = _u12124) )).
% 12.21/12.40 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u12123 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12125, _u12123) = c_Nitpick_Onat__gcd(_u12123, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12125, _u12123))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u12126, _u12127) = 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), _u12126)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12127))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12126), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12127)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u12130 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12132, _u12130) = 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), _u12132))) )).
% 12.21/12.40 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u12131 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12133, _u12131) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12133), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12131))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 12.21/12.40 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), _u12134), _u12135))) | ( _u12135 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12134, _u12135) = _u12134) )).
% 12.21/12.40 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), _u12134), _u12135))) | ( _u12135 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12134, _u12135) = c_Nitpick_Onat__gcd(_u12135, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12134, _u12135))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u12136, _u12137) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12136), _u12137)), c_Nitpick_Onat__gcd(_u12136, _u12137))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u12138, _u12139) = 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), _u12138)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12139))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 12.21/12.40 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), _u12142), _u12143))) | hBOOL(hAPP(hAPP(_u12144, _u12142), _u12143)) | 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), skolem264(_u12144, _u12143, _u12142)), skolem265(_u12144, _u12143, _u12142)))) )).
% 12.21/12.40 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), _u12142), _u12143))) | hBOOL(hAPP(hAPP(_u12144, _u12142), _u12143)) | ( skolem265(_u12144, _u12143, _u12142) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u12144, skolem265(_u12144, _u12143, _u12142)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem264(_u12144, _u12143, _u12142), skolem265(_u12144, _u12143, _u12142)))) )).
% 12.21/12.40 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), _u12142), _u12143))) | hBOOL(hAPP(hAPP(_u12144, _u12142), _u12143)) | ~hBOOL(hAPP(hAPP(_u12144, skolem264(_u12144, _u12143, _u12142)), skolem265(_u12144, _u12143, _u12142))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12145, _u12146, _u12147, _u12148), hAPP(c_Product__Type_Oapsnd(_u12149, _u12147, _u12145, _u12150), _u12151)) = hAPP(hAPP(c_Product__Type_OPair(_u12146, _u12147), hAPP(_u12148, hAPP(c_Product__Type_Ofst(_u12145, _u12149), _u12151))), hAPP(_u12150, hAPP(c_Product__Type_Osnd(_u12145, _u12149), _u12151)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12152, _u12153, _u12154, _u12155), hAPP(c_Product__Type_Oapfst(_u12156, _u12154, _u12152, _u12157), _u12158)) = hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12153), hAPP(_u12157, hAPP(c_Product__Type_Ofst(_u12156, _u12152), _u12158))), hAPP(_u12155, hAPP(c_Product__Type_Osnd(_u12156, _u12152), _u12158)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12159, _u12160), hAPP(c_Product__Type_Oapfst(_u12161, _u12159, _u12160, _u12162), _u12163)) = hAPP(c_Product__Type_Osnd(_u12161, _u12160), _u12163)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12164, _u12165, _u12166, _u12167), hAPP(hAPP(c_Product__Type_OPair(_u12164, _u12166), _u12168), _u12169)) = hAPP(hAPP(c_Product__Type_OPair(_u12165, _u12166), hAPP(_u12167, _u12168)), _u12169)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12170, _u12171, _u12172, _u12173), hAPP(c_Product__Type_Oapfst(_u12174, _u12170, _u12172, _u12175), _u12176)) = hAPP(c_Product__Type_Oapfst(_u12174, _u12171, _u12172, hAPP(c_Fun_Ocomp(_u12170, _u12171, _u12174, _u12173), _u12175)), _u12176)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12183, _u12185, _u12187, _u12189), _u12191) != hAPP(c_Product__Type_Oapfst(_u12183, _u12185, _u12187, _u12193), _u12191)) | ( hAPP(_u12189, hAPP(c_Product__Type_Ofst(_u12183, _u12187), _u12191)) = hAPP(_u12193, hAPP(c_Product__Type_Ofst(_u12183, _u12187), _u12191))) )).
% 12.21/12.40 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u12190, hAPP(c_Product__Type_Ofst(_u12184, _u12188), _u12192)) != hAPP(_u12194, hAPP(c_Product__Type_Ofst(_u12184, _u12188), _u12192))) | ( hAPP(c_Product__Type_Oapfst(_u12184, _u12186, _u12188, _u12190), _u12192) = hAPP(c_Product__Type_Oapfst(_u12184, _u12186, _u12188, _u12194), _u12192)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12195, _u12196), hAPP(c_Product__Type_Oapfst(_u12197, _u12195, _u12196, _u12198), _u12199)) = hAPP(_u12198, hAPP(c_Product__Type_Ofst(_u12197, _u12196), _u12199))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12200, _u12201, _u12202, _u12203), hAPP(c_Product__Type_Oapfst(_u12204, _u12202, _u12200, _u12205), _u12206)) = hAPP(c_Product__Type_Oapfst(_u12204, _u12202, _u12201, _u12205), hAPP(c_Product__Type_Oapsnd(_u12200, _u12201, _u12204, _u12203), _u12206))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12208) | ~class_Groups_Ocomm__monoid__mult(_u12208) | ( _u12209 != _u12210) | ~c_Nat__Transfer_Onat__set(_u12210) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12211), _u12209) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12212), _u12210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem266(_u12212, _u12211, _u12210, _u12209, _u12208))) )).
% 12.21/12.40 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12208) | ~class_Groups_Ocomm__monoid__mult(_u12208) | ( _u12209 != _u12210) | ~c_Nat__Transfer_Onat__set(_u12210) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12211), _u12209) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12212), _u12210)) | ( hAPP(_u12211, skolem266(_u12212, _u12211, _u12210, _u12209, _u12208)) != hAPP(_u12212, skolem266(_u12212, _u12211, _u12210, _u12209, _u12208))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12216, hAPP(hAPP(c_COMBC(_u12216, tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_fun(_u12216, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12216, tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_fun(_u12216, tc_HOL_Obool)), _u12216), c_COMBC(_u12216, tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12216, tc_prod(_u12216, _u12216)), tc_fun(_u12216, tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool)), _u12216), hAPP(c_COMBB(tc_prod(_u12216, _u12216), tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool), _u12216), c_member(tc_prod(_u12216, _u12216)))), c_Product__Type_OPair(_u12216, _u12216)))), _u12218)), _u12220)) | hBOOL(hAPP(hAPP(c_member(_u12216), _u12220), c_Wellfounded_Oacc(_u12216, _u12218))) )).
% 12.21/12.40 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12217), _u12221), c_Wellfounded_Oacc(_u12217, _u12219))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12217, hAPP(hAPP(c_COMBC(_u12217, tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_fun(_u12217, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12217, tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_fun(_u12217, tc_HOL_Obool)), _u12217), c_COMBC(_u12217, tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12217, tc_prod(_u12217, _u12217)), tc_fun(_u12217, tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool)), _u12217), hAPP(c_COMBB(tc_prod(_u12217, _u12217), tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool), _u12217), c_member(tc_prod(_u12217, _u12217)))), c_Product__Type_OPair(_u12217, _u12217)))), _u12219)), _u12221)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12223, _u12224), _u12225), _u12226) = hAPP(c_Set_OCollect(tc_prod(_u12222, _u12224)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12222, _u12224, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool)), tc_fun(_u12224, tc_HOL_Obool), _u12222), hAPP(c_COMBB(tc_fun(_u12223, tc_HOL_Obool), tc_HOL_Obool, _u12224), c_HOL_OEx(_u12223))), hAPP(hAPP(c_COMBC(_u12222, tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool)), tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), tc_fun(tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool)), tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool))), _u12222), c_COMBB(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool), _u12224)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), _u12222), c_COMBS(_u12223, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12222), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12223), c_fconj)), hAPP(hAPP(c_COMBC(_u12222, tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), _u12222), c_COMBC(_u12223, tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_prod(_u12222, _u12223)), tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool)), _u12222), hAPP(c_COMBB(tc_prod(_u12222, _u12223), tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool), _u12223), c_member(tc_prod(_u12222, _u12223)))), c_Product__Type_OPair(_u12222, _u12223)))), _u12225))))), hAPP(hAPP(c_COMBC(_u12224, tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), _u12224), c_COMBC(_u12223, tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_prod(_u12223, _u12224)), tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool)), _u12224), hAPP(c_COMBB(tc_prod(_u12223, _u12224), tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool), _u12223), c_member(tc_prod(_u12223, _u12224)))), hAPP(c_COMBC(_u12223, _u12224, tc_prod(_u12223, _u12224)), c_Product__Type_OPair(_u12223, _u12224))))), _u12226)))))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12227, _u12228)), hAPP(hAPP(c_Product__Type_OPair(_u12227, _u12228), _u12229), _u12230)), _u12231)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12228, _u12232)), hAPP(hAPP(c_Product__Type_OPair(_u12228, _u12232), _u12230), _u12233)), _u12234)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12227, _u12232)), hAPP(hAPP(c_Product__Type_OPair(_u12227, _u12232), _u12229), _u12233)), hAPP(hAPP(c_Relation_Orel__comp(_u12227, _u12228, _u12232), _u12231), _u12234))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12235, _u12236, _u12237), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12235, _u12236), tc_HOL_Obool))), _u12238) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12235, _u12237), tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12239, _u12240, _u12241), _u12242), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12240, _u12241), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12239, _u12241), tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12243, _u12244, _u12245), hAPP(hAPP(c_Relation_Orel__comp(_u12243, _u12246, _u12244), _u12247), _u12248)), _u12249) = hAPP(hAPP(c_Relation_Orel__comp(_u12243, _u12246, _u12245), _u12247), hAPP(hAPP(c_Relation_Orel__comp(_u12246, _u12244, _u12245), _u12248), _u12249))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12252), _u12253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12251, _u12254), tc_HOL_Obool)), _u12255), _u12256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12250, _u12254), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12250, _u12251, _u12254), _u12252), _u12255)), hAPP(hAPP(c_Relation_Orel__comp(_u12250, _u12251, _u12254), _u12253), _u12256))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12258, _u12259), _u12260), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12258, _u12259), tc_HOL_Obool)), _u12261), _u12262)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12258, _u12259), _u12260), _u12261)), hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12258, _u12259), _u12260), _u12262))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12263, _u12264, _u12265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12263, _u12264), tc_HOL_Obool)), _u12266), _u12267)), _u12268) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12263, _u12265), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12263, _u12264, _u12265), _u12266), _u12268)), hAPP(hAPP(c_Relation_Orel__comp(_u12263, _u12264, _u12265), _u12267), _u12268))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12269, _u12270, _u12271), _u12272), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12273, tc_fun(tc_prod(_u12270, _u12271), tc_HOL_Obool)), _u12274), _u12275)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12273, tc_fun(tc_prod(_u12269, _u12271), tc_HOL_Obool)), _u12274), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12270, _u12271), tc_HOL_Obool), tc_fun(tc_prod(_u12269, _u12271), tc_HOL_Obool), _u12273), hAPP(c_Relation_Orel__comp(_u12269, _u12270, _u12271), _u12272)), _u12275))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12276, _u12277, _u12278), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12279, tc_fun(tc_prod(_u12276, _u12277), tc_HOL_Obool)), _u12280), _u12281)), _u12282) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12279, tc_fun(tc_prod(_u12276, _u12278), tc_HOL_Obool)), _u12280), hAPP(hAPP(c_COMBC(_u12279, tc_fun(tc_prod(_u12277, _u12278), tc_HOL_Obool), tc_fun(tc_prod(_u12276, _u12278), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12276, _u12277), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12277, _u12278), tc_HOL_Obool), tc_fun(tc_prod(_u12276, _u12278), tc_HOL_Obool)), _u12279), c_Relation_Orel__comp(_u12276, _u12277, _u12278)), _u12281)), _u12282))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12283, _u12283, _u12283), _u12284), _u12285) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12283, _u12283, _u12283), _u12284), _u12286) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12283, _u12283, _u12283), _u12284), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool)), _u12285), _u12286)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12287, _u12287, _u12287), _u12288), _u12289) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12287, _u12287, _u12287), _u12290), _u12289) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12287, _u12287, _u12287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool)), _u12288), _u12290)), _u12289) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12291, _u12291), tc_HOL_Obool)), _u12292), _u12293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12291, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12291, _u12293)), c_Wellfounded_Oacc(_u12291, _u12292))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12299), _u12301), c_Wellfounded_Oacc(_u12299, _u12303))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12299, _u12299)), hAPP(hAPP(c_Product__Type_OPair(_u12299, _u12299), _u12294), _u12301)), _u12303)) | hBOOL(hAPP(hAPP(c_member(_u12299), _u12294), c_Wellfounded_Oacc(_u12299, _u12303))) )).
% 12.21/12.40 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12300), _u12302), c_Wellfounded_Oacc(_u12300, _u12304))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12300, _u12300)), hAPP(hAPP(c_Product__Type_OPair(_u12300, _u12300), skolem267(_u12304, _u12302, _u12300)), _u12302)), _u12304)) )).
% 12.21/12.40 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12300), _u12302), c_Wellfounded_Oacc(_u12300, _u12304))) | ~hBOOL(hAPP(hAPP(c_member(_u12300), skolem267(_u12304, _u12302, _u12300)), c_Wellfounded_Oacc(_u12300, _u12304))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12305), _u12306), c_Wellfounded_Oacc(_u12305, _u12307))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12305, _u12305)), hAPP(hAPP(c_Product__Type_OPair(_u12305, _u12305), _u12308), _u12306)), _u12307)) | hBOOL(hAPP(hAPP(c_member(_u12305), _u12308), c_Wellfounded_Oacc(_u12305, _u12307))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12309, _u12309), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12309, _u12309, _u12309), _u12310), _u12311)), _u12310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12309, _u12310)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12309, _u12311)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12309, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12309, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12309, _u12310))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12312, _u12312), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12312, _u12312, _u12312), _u12313), _u12314)), _u12313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12312, _u12313)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12312, _u12314)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12312, _u12313))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12322, _u12324, _u12326, hAPP(hAPP(c_COMBC(_u12322, tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_fun(_u12324, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12324, tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_fun(_u12324, tc_HOL_Obool)), _u12322), c_COMBC(_u12324, tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12324, tc_prod(_u12322, _u12324)), tc_fun(_u12324, tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool)), _u12322), hAPP(c_COMBB(tc_prod(_u12322, _u12324), tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool), _u12324), c_member(tc_prod(_u12322, _u12324)))), c_Product__Type_OPair(_u12322, _u12324)))), _u12328), hAPP(hAPP(c_COMBC(_u12324, tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_fun(_u12326, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12326, tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_fun(_u12326, tc_HOL_Obool)), _u12324), c_COMBC(_u12326, tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12326, tc_prod(_u12324, _u12326)), tc_fun(_u12326, tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool)), _u12324), hAPP(c_COMBB(tc_prod(_u12324, _u12326), tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool), _u12326), c_member(tc_prod(_u12324, _u12326)))), c_Product__Type_OPair(_u12324, _u12326)))), _u12330)), _u12332), _u12334)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12322, _u12326)), hAPP(hAPP(c_Product__Type_OPair(_u12322, _u12326), _u12332), _u12334)), hAPP(hAPP(c_Relation_Orel__comp(_u12322, _u12324, _u12326), _u12328), _u12330))) )).
% 12.21/12.40 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12323, _u12327)), hAPP(hAPP(c_Product__Type_OPair(_u12323, _u12327), _u12333), _u12335)), hAPP(hAPP(c_Relation_Orel__comp(_u12323, _u12325, _u12327), _u12329), _u12331))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12323, _u12325, _u12327, hAPP(hAPP(c_COMBC(_u12323, tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_fun(_u12325, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12325, tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_fun(_u12325, tc_HOL_Obool)), _u12323), c_COMBC(_u12325, tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12325, tc_prod(_u12323, _u12325)), tc_fun(_u12325, tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool)), _u12323), hAPP(c_COMBB(tc_prod(_u12323, _u12325), tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool), _u12325), c_member(tc_prod(_u12323, _u12325)))), c_Product__Type_OPair(_u12323, _u12325)))), _u12329), hAPP(hAPP(c_COMBC(_u12325, tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_fun(_u12327, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12327, tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_fun(_u12327, tc_HOL_Obool)), _u12325), c_COMBC(_u12327, tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12327, tc_prod(_u12325, _u12327)), tc_fun(_u12327, tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool)), _u12325), hAPP(c_COMBB(tc_prod(_u12325, _u12327), tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool), _u12327), c_member(tc_prod(_u12325, _u12327)))), c_Product__Type_OPair(_u12325, _u12327)))), _u12331)), _u12333), _u12335)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u12336, _u12337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12336, _u12336), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12336, _u12336, _u12336), _u12337), _u12338)), _u12337)) | c_FunDef_Oreduction__pair(_u12336, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12336, _u12336), tc_HOL_Obool), tc_fun(tc_prod(_u12336, _u12336), tc_HOL_Obool)), _u12337), _u12338)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12347), _u12351)) )).
% 12.21/12.40 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12347), _u12353)) )).
% 12.21/12.40 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | ( _u12353 != c_Orderings_Obot__class_Obot(tc_fun(_u12347, tc_HOL_Obool))) )).
% 12.21/12.40 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | ~hBOOL(hAPP(hAPP(c_member(_u12347), _u12340), _u12351)) | hBOOL(hAPP(hAPP(c_member(_u12347), skolem268(_u12353, _u12351, _u12349, _u12347, _u12340)), _u12353)) )).
% 12.21/12.40 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | ~hBOOL(hAPP(hAPP(c_member(_u12347), _u12340), _u12351)) | hBOOL(hAPP(hAPP(_u12349, _u12340), skolem268(_u12353, _u12351, _u12349, _u12347, _u12340))) )).
% 12.21/12.40 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u12348, _u12350, _u12352, _u12354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12354)) | ( _u12354 = c_Orderings_Obot__class_Obot(tc_fun(_u12348, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12348), skolem269(_u12354, _u12352, _u12350, _u12348)), _u12352)) )).
% 12.21/12.40 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u12348, _u12350, _u12352, _u12354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12354)) | ( _u12354 = c_Orderings_Obot__class_Obot(tc_fun(_u12348, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12348), _u12341), _u12354)) | ~hBOOL(hAPP(hAPP(_u12350, skolem269(_u12354, _u12352, _u12350, _u12348)), _u12341)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12355, _u12356), _u12357)) | ~hBOOL(hAPP(hAPP(_u12358, _u12357), _u12359)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12360, _u12361, _u12362, _u12355, _u12358), _u12356), _u12359)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u12363, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12363, _u12363), tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u12364, _u12365) | c_Wellfounded_Owf(_u12366, hAPP(hAPP(c_Relation_Oinv__image(_u12364, _u12366), _u12365), _u12367)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u12368, _u12369) | ~c_Wellfounded_Owf(_u12370, _u12371) | c_Wellfounded_Owf(tc_prod(_u12368, _u12370), c_Wellfounded_Olex__prod(_u12368, _u12370, _u12369, _u12371)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u12372, hAPP(c_Wellfounded_Omeasure(_u12372), _u12373)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u12376, _u12378) | c_Wellfounded_Owf(_u12376, hAPP(hAPP(c_Relation_Orel__comp(_u12376, _u12376, _u12376), _u12378), _u12378)) )).
% 12.21/12.40 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u12377, hAPP(hAPP(c_Relation_Orel__comp(_u12377, _u12377, _u12377), _u12379), _u12379)) | c_Wellfounded_Owf(_u12377, _u12379) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u12380, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12380)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u12381, _u12382) | c_Wellfounded_Owf(_u12381, c_Wellfounded_Omlex__prod(_u12381, _u12383, _u12382)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u12384, _u12385) | c_Wellfounded_Owf(_u12384, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12384, _u12384), tc_HOL_Obool)), _u12386), _u12385)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u12387, _u12388) | c_Wellfounded_Owf(_u12387, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), _u12388), _u12389)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u12390, _u12391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12390, _u12390), tc_HOL_Obool)), _u12392), _u12391)) | c_Wellfounded_Owf(_u12390, _u12392) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12393, _u12394) | c_Wellfounded_Owf(tc_fun(_u12393, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12393, _u12394)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12404, _u12406, _u12408, _u12410, _u12412), _u12414), _u12416)) | hBOOL(hAPP(hAPP(_u12410, _u12414), skolem270(_u12416, _u12414, _u12412, _u12410))) )).
% 12.21/12.40 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12404, _u12406, _u12408, _u12410, _u12412), _u12414), _u12416)) | hBOOL(hAPP(hAPP(_u12412, skolem270(_u12416, _u12414, _u12412, _u12410)), _u12416)) )).
% 12.21/12.40 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u12411, _u12415), _u12396)) | ~hBOOL(hAPP(hAPP(_u12413, _u12396), _u12417)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12405, _u12407, _u12409, _u12411, _u12413), _u12415), _u12417)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12418, _u12419) | c_Wellfounded_Owf(tc_fun(_u12418, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12418, _u12419)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__less-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u12420, _u12421) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12420, _u12420)), hAPP(hAPP(c_Product__Type_OPair(_u12420, _u12420), _u12422), _u12422)), _u12421)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u12423, _u12424) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12423, _u12423)), hAPP(hAPP(c_Product__Type_OPair(_u12423, _u12423), _u12425), _u12426)), _u12424)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12423, _u12423)), hAPP(hAPP(c_Product__Type_OPair(_u12423, _u12423), _u12426), _u12425)), _u12424)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u12427, _u12428) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12427, _u12427)), hAPP(hAPP(c_Product__Type_OPair(_u12427, _u12427), _u12429), _u12430)), _u12428)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12427, _u12427)), hAPP(hAPP(c_Product__Type_OPair(_u12427, _u12427), _u12430), _u12429)), _u12428)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u12431, _u12432) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12431, _u12431)), hAPP(hAPP(c_Product__Type_OPair(_u12431, _u12431), _u12433), _u12433)), _u12432)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12434)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12435)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u12440, _u12442) | hBOOL(hAPP(hAPP(c_member(_u12440), _u12436), c_Wellfounded_Oacc(_u12440, _u12442))) )).
% 12.21/12.40 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12441), skolem271(_u12443, _u12441)), c_Wellfounded_Oacc(_u12441, _u12443))) | c_Wellfounded_Owf(_u12441, _u12443) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u12444, _u12445) | hBOOL(hAPP(hAPP(c_member(_u12444), _u12446), c_Wellfounded_Oacc(_u12444, _u12445))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12447, _u12447, _u12447), _u12448), _u12448) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12447, _u12447), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12447, _u12448) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u12452, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12452, _u12452), tc_HOL_Obool)), _u12454), _u12456)) | c_Wellfounded_Owf(_u12452, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12452, _u12452), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12452, _u12452), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12452, _u12452, _u12452), _u12454), _u12454)), hAPP(hAPP(c_Relation_Orel__comp(_u12452, _u12452, _u12452), _u12456), _u12454))), _u12456)) )).
% 12.21/12.40 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u12453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12453, _u12453), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12453, _u12453), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12453, _u12453, _u12453), _u12455), _u12455)), hAPP(hAPP(c_Relation_Orel__comp(_u12453, _u12453, _u12453), _u12457), _u12455))), _u12457)) | c_Wellfounded_Owf(_u12453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12453, _u12453), tc_HOL_Obool)), _u12455), _u12457)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u12464, _u12466) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12464, _u12464)), hAPP(hAPP(c_Product__Type_OPair(_u12464, _u12464), hAPP(_u12459, hAPP(c_Nat_OSuc, skolem272(_u12466, _u12464, _u12459)))), hAPP(_u12459, skolem272(_u12466, _u12464, _u12459)))), _u12466)) )).
% 12.21/12.40 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12465, _u12465)), hAPP(hAPP(c_Product__Type_OPair(_u12465, _u12465), hAPP(skolem273(_u12467, _u12465), hAPP(c_Nat_OSuc, _u12460))), hAPP(skolem273(_u12467, _u12465), _u12460))), _u12467)) | c_Wellfounded_Owf(_u12465, _u12467) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u12468, _u12469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12468, tc_HOL_Obool)), _u12470), hAPP(c_Relation_OImage(_u12468, _u12468, _u12469), _u12470))) | ( _u12470 = c_Orderings_Obot__class_Obot(tc_fun(_u12468, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u12471, _u12472) | ~c_Wellfounded_Owf(_u12471, _u12473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12471, _u12471), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12471, _u12471, _u12471), _u12472), _u12473)), _u12472)) | c_Wellfounded_Owf(_u12471, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12471, _u12471), tc_HOL_Obool)), _u12472), _u12473)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u12474) | c_Wellfounded_Owf(_u12474, hAPP(c_Set_OCollect(tc_prod(_u12474, _u12474)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12474, _u12474, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12474)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12477, _u12479) | c_Wellfounded_Owf(_u12477, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479)) )).
% 12.21/12.40 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u12477, _u12479) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12477, _u12477, _u12477), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479))) )).
% 12.21/12.40 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u12478, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12478, _u12478, _u12478), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480))) | c_FunDef_Oreduction__pair(_u12478, _u12480) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12481, _u12482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12483), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool), tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12484), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool), tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12482))) | ~c_Wellfounded_Owf(_u12481, _u12484) | c_Wellfounded_Owf(_u12481, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12483), _u12484)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u12485, _u12486) | c_Wellfounded_Owf(tc_List_Olist(_u12485), c_List_Olenlex(_u12485, _u12486)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u12491, hAPP(c_Set_OCollect(tc_prod(_u12491, _u12491)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12491, _u12491, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(_u12491, tc_HOL_Obool), _u12491), hAPP(c_COMBS(_u12491, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12491), c_fconj), _u12488))), hAPP(hAPP(c_COMBC(_u12491, tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), _u12491), c_COMBB(_u12491, tc_HOL_Obool, _u12491)), c_fequal)), _u12490))))) | hBOOL(hAPP(_u12488, skolem274(_u12491, _u12490, _u12489, _u12488))) )).
% 12.21/12.40 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u12491, hAPP(c_Set_OCollect(tc_prod(_u12491, _u12491)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12491, _u12491, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(_u12491, tc_HOL_Obool), _u12491), hAPP(c_COMBS(_u12491, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12491), c_fconj), _u12488))), hAPP(hAPP(c_COMBC(_u12491, tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), _u12491), c_COMBB(_u12491, tc_HOL_Obool, _u12491)), c_fequal)), _u12490))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12489, hAPP(_u12490, skolem274(_u12491, _u12490, _u12489, _u12488)))), hAPP(_u12489, skolem274(_u12491, _u12490, _u12489, _u12488)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12495)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12496)) | ( _u12496 = c_Orderings_Obot__class_Obot(tc_fun(_u12494, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)), c_Wellfounded_Omax__ext(_u12494, _u12497))) | hBOOL(hAPP(hAPP(c_member(_u12494), skolem275(_u12497, _u12496, _u12495, _u12494)), _u12495)) )).
% 12.21/12.40 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12495)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12496)) | ( _u12496 = c_Orderings_Obot__class_Obot(tc_fun(_u12494, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)), c_Wellfounded_Omax__ext(_u12494, _u12497))) | ~hBOOL(hAPP(hAPP(c_member(_u12494), _u12492), _u12496)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12494, _u12494)), hAPP(hAPP(c_Product__Type_OPair(_u12494, _u12494), skolem275(_u12497, _u12496, _u12495, _u12494)), _u12492)), _u12497)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_pred__nat__def-1, axiom, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u12498, _u12499) | c_Wellfounded_Owf(tc_List_Olist(_u12498), c_List_Olex(_u12498, _u12499)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u12500, _u12501) | c_Wellfounded_Owf(tc_List_Olist(_u12500), hAPP(c_List_Olexn(_u12500, _u12501), _u12502)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u12503, _u12504) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12503), tc_List_Olist(_u12503)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12503, _u12504))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u12505, _u12506), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12505), tc_List_Olist(_u12505)), tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u12511, _u12509), c_Recdef_Osame__fst(_u12511, _u12509, _u12508, _u12510)) | hBOOL(hAPP(_u12508, skolem276(_u12511, _u12510, _u12509, _u12508))) )).
% 12.21/12.40 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u12511, _u12509), c_Recdef_Osame__fst(_u12511, _u12509, _u12508, _u12510)) | ~c_Wellfounded_Owf(_u12509, hAPP(_u12510, skolem276(_u12511, _u12510, _u12509, _u12508))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u12512) = c_Nitpick_OAbs__Frac(_u12512, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u12513, _u12514), hAPP(c_Set_OCollect(tc_prod(_u12513, _u12514)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12513, _u12514, tc_HOL_Obool), _u12515))) = hAPP(c_Set_OCollect(_u12514), hAPP(hAPP(c_COMBB(tc_fun(_u12513, tc_HOL_Obool), tc_HOL_Obool, _u12514), c_HOL_OEx(_u12513)), hAPP(c_COMBC(_u12513, _u12514, tc_HOL_Obool), _u12515)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12516, _u12517)), hAPP(hAPP(c_Product__Type_OPair(_u12516, _u12517), _u12518), _u12519)), _u12520)) | hBOOL(hAPP(hAPP(c_member(_u12517), _u12519), hAPP(c_Relation_ORange(_u12516, _u12517), _u12520))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u12521, _u12521), c_Relation_OId__on(_u12521, _u12522)) = _u12522) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12523, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12523, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12524, _u12523), _u12525)), hAPP(c_Relation_ORange(_u12524, _u12523), _u12526))), hAPP(c_Relation_ORange(_u12524, _u12523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12524, _u12523), tc_HOL_Obool)), _u12525), _u12526)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u12530, _u12532), _u12534) != c_Orderings_Obot__class_Obot(tc_fun(_u12532, tc_HOL_Obool))) | ( _u12534 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12530, _u12532), tc_HOL_Obool))) )).
% 12.21/12.40 cnf(fact_Range__empty__iff-2, axiom, ( ( _u12535 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12531, _u12533), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12531, _u12533), _u12535) = c_Orderings_Obot__class_Obot(tc_fun(_u12533, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u12536, _u12537), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12536, _u12537), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12537, tc_HOL_Obool))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u12538, _u12539), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12538, _u12539), tc_HOL_Obool)), _u12540), _u12541)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12539, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12538, _u12539), _u12540)), hAPP(c_Relation_ORange(_u12538, _u12539), _u12541))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12542, _u12543)), _u12544)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12543), hAPP(c_Relation_ORange(_u12542, _u12543), _u12544))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12545, _u12546), _u12546, c_Product__Type_Osnd(_u12545, _u12546)), _u12547) = hAPP(c_Relation_ORange(_u12545, _u12546), _u12547)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12554), _u12556), hAPP(c_Relation_ORange(_u12558, _u12554), _u12560))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12558, _u12554)), hAPP(hAPP(c_Product__Type_OPair(_u12558, _u12554), skolem277(_u12560, _u12558, _u12556, _u12554)), _u12556)), _u12560)) )).
% 12.21/12.40 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12559, _u12555)), hAPP(hAPP(c_Product__Type_OPair(_u12559, _u12555), _u12549), _u12557)), _u12561)) | hBOOL(hAPP(hAPP(c_member(_u12555), _u12557), hAPP(c_Relation_ORange(_u12559, _u12555), _u12561))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u12562, _u12563), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12562, _u12563)), hAPP(hAPP(c_Product__Type_OPair(_u12562, _u12563), _u12564), _u12565)), _u12566)) = hAPP(hAPP(c_Set_Oinsert(_u12563), _u12565), hAPP(c_Relation_ORange(_u12562, _u12563), _u12566))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12567, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12568, _u12567), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12568, _u12567), tc_HOL_Obool)), _u12569), _u12570))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12567, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12568, _u12567), _u12569)), hAPP(c_Relation_ORange(_u12568, _u12567), _u12570)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u12571) = c_Nitpick_OAbs__Frac(_u12571, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u12572, _u12573) = c_Nitpick_OAbs__Frac(_u12572, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12573), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12578, _u12580, hAPP(hAPP(c_COMBC(_u12578, tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_fun(_u12580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12580, tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_fun(_u12580, tc_HOL_Obool)), _u12578), c_COMBC(_u12580, tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12580, tc_prod(_u12578, _u12580)), tc_fun(_u12580, tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool)), _u12578), hAPP(c_COMBB(tc_prod(_u12578, _u12580), tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool), _u12580), c_member(tc_prod(_u12578, _u12580)))), c_Product__Type_OPair(_u12578, _u12580)))), _u12582)), _u12584)) | hBOOL(hAPP(hAPP(c_member(_u12580), _u12584), hAPP(c_Relation_ORange(_u12578, _u12580), _u12582))) )).
% 12.21/12.40 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12581), _u12585), hAPP(c_Relation_ORange(_u12579, _u12581), _u12583))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12579, _u12581, hAPP(hAPP(c_COMBC(_u12579, tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_fun(_u12581, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12581, tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_fun(_u12581, tc_HOL_Obool)), _u12579), c_COMBC(_u12581, tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12581, tc_prod(_u12579, _u12581)), tc_fun(_u12581, tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool)), _u12579), hAPP(c_COMBB(tc_prod(_u12579, _u12581), tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool), _u12581), c_member(tc_prod(_u12579, _u12581)))), c_Product__Type_OPair(_u12579, _u12581)))), _u12583)), _u12585)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12586, _u12587), _u12588)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12589, _u12590, _u12586), _u12588)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12601, skolem278(_u12603, _u12601)), _u12603)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12597, _u12599, _u12601), _u12603)) )).
% 12.21/12.40 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12602, _u12592), _u12604)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12598, _u12600, _u12602), _u12604)) )).
% 12.21/12.40
% 12.21/12.40 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 12.21/12.40 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12605), _u12606), _u12607) = c_Nitpick_OAbs__Frac(_u12605, c_Nitpick_Onorm__frac(_u12606, _u12607))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12609), _u12610), hAPP(c_Relation_ORange(_u12611, _u12609), _u12612))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12611, _u12609)), hAPP(hAPP(c_Product__Type_OPair(_u12611, _u12609), skolem279(_u12612, _u12611, _u12610, _u12609)), _u12610)), _u12612)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u12613, _u12614) | ~c_Wellfounded_Owf(_u12613, _u12615) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12613, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12613, _u12613), _u12614)), hAPP(c_Relation_ORange(_u12613, _u12613), _u12615)) != c_Orderings_Obot__class_Obot(tc_fun(_u12613, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12613, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12613, _u12613), tc_HOL_Obool)), _u12614), _u12615)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12616, _u12617)), hAPP(hAPP(c_Product__Type_OPair(_u12616, _u12617), _u12618), _u12619)), _u12620)) | hBOOL(hAPP(hAPP(c_member(_u12616), _u12618), hAPP(c_Relation_ODomain(_u12616, _u12617), _u12620))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12621, _u12621), c_Relation_OId__on(_u12621, _u12622)) = _u12622) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12626, _u12628), _u12630) != c_Orderings_Obot__class_Obot(tc_fun(_u12626, tc_HOL_Obool))) | ( _u12630 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12626, _u12628), tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u12631 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12627, _u12629), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12627, _u12629), _u12631) = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12632, _u12633), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12632, _u12633), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12632, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12634, _u12635), tc_HOL_Obool)), _u12636), _u12637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12634, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12634, _u12635), _u12636)), hAPP(c_Relation_ODomain(_u12634, _u12635), _u12637))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12638, _u12639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12638, _u12639), tc_HOL_Obool)), _u12640), _u12641)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12638, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12638, _u12639), _u12640)), hAPP(c_Relation_ODomain(_u12638, _u12639), _u12641))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12642, _u12643)), _u12644)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12642), hAPP(c_Relation_ODomain(_u12642, _u12643), _u12644))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12645, _u12646), _u12645, c_Product__Type_Ofst(_u12645, _u12646)), _u12647) = hAPP(c_Relation_ODomain(_u12645, _u12646), _u12647)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12654), _u12656), hAPP(c_Relation_ODomain(_u12654, _u12658), _u12660))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12654, _u12658)), hAPP(hAPP(c_Product__Type_OPair(_u12654, _u12658), _u12656), skolem280(_u12660, _u12658, _u12656, _u12654))), _u12660)) )).
% 12.21/12.41 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12655, _u12659)), hAPP(hAPP(c_Product__Type_OPair(_u12655, _u12659), _u12657), _u12649)), _u12661)) | hBOOL(hAPP(hAPP(c_member(_u12655), _u12657), hAPP(c_Relation_ODomain(_u12655, _u12659), _u12661))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12662, _u12663), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12662, _u12663)), hAPP(hAPP(c_Product__Type_OPair(_u12662, _u12663), _u12664), _u12665)), _u12666)) = hAPP(hAPP(c_Set_Oinsert(_u12662), _u12664), hAPP(c_Relation_ODomain(_u12662, _u12663), _u12666))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12667, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12667, _u12668), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12667, _u12668), tc_HOL_Obool)), _u12669), _u12670))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12667, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12667, _u12668), _u12669)), hAPP(c_Relation_ODomain(_u12667, _u12668), _u12670)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12671, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12671, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12671, _u12672), _u12673)), hAPP(c_Relation_ODomain(_u12671, _u12672), _u12674))), hAPP(c_Relation_ODomain(_u12671, _u12672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12671, _u12672), tc_HOL_Obool)), _u12673), _u12674)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u12675), _u12676) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12675, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12675, _u12675), _u12676)), hAPP(c_Relation_ORange(_u12675, _u12675), _u12676))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12677, _u12678), hAPP(c_Set_OCollect(tc_prod(_u12677, _u12678)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12677, _u12678, tc_HOL_Obool), _u12679))) = hAPP(c_Set_OCollect(_u12677), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_HOL_Obool), tc_HOL_Obool, _u12677), c_HOL_OEx(_u12678)), _u12679))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12684, _u12686, hAPP(hAPP(c_COMBC(_u12684, tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_fun(_u12686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12686, tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_fun(_u12686, tc_HOL_Obool)), _u12684), c_COMBC(_u12686, tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12686, tc_prod(_u12684, _u12686)), tc_fun(_u12686, tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool)), _u12684), hAPP(c_COMBB(tc_prod(_u12684, _u12686), tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool), _u12686), c_member(tc_prod(_u12684, _u12686)))), c_Product__Type_OPair(_u12684, _u12686)))), _u12688)), _u12690)) | hBOOL(hAPP(hAPP(c_member(_u12684), _u12690), hAPP(c_Relation_ODomain(_u12684, _u12686), _u12688))) )).
% 12.21/12.41 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12685), _u12691), hAPP(c_Relation_ODomain(_u12685, _u12687), _u12689))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12685, _u12687, hAPP(hAPP(c_COMBC(_u12685, tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool)), _u12685), c_COMBC(_u12687, tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_prod(_u12685, _u12687)), tc_fun(_u12687, tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool)), _u12685), hAPP(c_COMBB(tc_prod(_u12685, _u12687), tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool), _u12687), c_member(tc_prod(_u12685, _u12687)))), c_Product__Type_OPair(_u12685, _u12687)))), _u12689)), _u12691)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12693), _u12694), hAPP(c_Relation_ODomain(_u12693, _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12693, _u12695)), hAPP(hAPP(c_Product__Type_OPair(_u12693, _u12695), _u12694), skolem281(_u12696, _u12695, _u12694, _u12693))), _u12696)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12697, tc_prod(_u12698, _u12699), hAPP(hAPP(c_COMBS(_u12697, _u12699, tc_prod(_u12698, _u12699)), hAPP(hAPP(c_COMBB(_u12698, tc_fun(_u12699, tc_prod(_u12698, _u12699)), _u12697), c_Product__Type_OPair(_u12698, _u12699)), _u12700)), _u12701)), _u12702) = hAPP(hAPP(c_Product__Type_OSigma(_u12698, _u12699), hAPP(c_Set_Oimage(_u12697, _u12698, _u12700), _u12702)), hAPP(hAPP(c_COMBB(tc_fun(_u12697, tc_HOL_Obool), tc_fun(_u12699, tc_HOL_Obool), _u12698), c_Set_Oimage(_u12697, _u12699, _u12701)), hAPP(hAPP(c_COMBC(_u12698, tc_fun(_u12697, tc_HOL_Obool), tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12697, tc_HOL_Obool), tc_fun(tc_fun(_u12697, tc_HOL_Obool), tc_fun(_u12697, tc_HOL_Obool)), _u12698), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12697, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12698, tc_HOL_Obool), tc_fun(_u12697, tc_HOL_Obool), _u12698), c_Set_Ovimage(_u12697, _u12698, _u12700)), hAPP(hAPP(c_COMBC(_u12698, tc_fun(_u12698, tc_HOL_Obool), tc_fun(_u12698, tc_HOL_Obool)), c_Set_Oinsert(_u12698)), c_Orderings_Obot__class_Obot(tc_fun(_u12698, tc_HOL_Obool)))))), _u12702)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12703, _u12704), _u12705)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12706, _u12707, _u12703), _u12704)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12708), _u12709), _u12710)) | ~hBOOL(hAPP(hAPP(c_member(_u12711), _u12712), hAPP(_u12713, _u12709))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12708, _u12711)), hAPP(hAPP(c_Product__Type_OPair(_u12708, _u12711), _u12709), _u12712)), hAPP(hAPP(c_Product__Type_OSigma(_u12708, _u12711), _u12710), _u12713))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12714, _u12715), c_Orderings_Obot__class_Obot(tc_fun(_u12714, tc_HOL_Obool))), _u12716) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12714, _u12715), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12717), _u12718), _u12719)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12721), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719)) != hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12722), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719))) | ( _u12721 = _u12722) )).
% 12.21/12.41 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12717), _u12718), _u12719)) | ( _u12721 != _u12722) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12721), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719)) = hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12722), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12723, _u12724)), hAPP(hAPP(c_Product__Type_OSigma(_u12723, _u12724), _u12725), hAPP(c_COMBK(tc_fun(_u12724, tc_HOL_Obool), _u12723), _u12726))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12723), _u12725)), hAPP(c_Finite__Set_Ocard(_u12724), _u12726))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12727) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12728, _u12727), hAPP(hAPP(c_COMBC(_u12728, tc_fun(_u12729, tc_HOL_Obool), _u12727), hAPP(hAPP(c_COMBB(tc_fun(_u12729, _u12727), tc_fun(tc_fun(_u12729, tc_HOL_Obool), _u12727), _u12728), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12729, _u12727)), _u12730)), _u12731)), _u12732) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12728, _u12729), _u12727), hAPP(c_Product__Type_Oprod_Oprod__case(_u12728, _u12729, _u12727), _u12730)), hAPP(hAPP(c_Product__Type_OSigma(_u12728, _u12729), _u12732), hAPP(c_COMBK(tc_fun(_u12729, tc_HOL_Obool), _u12728), _u12731)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12733, _u12734), _u12735), hAPP(c_COMBK(tc_fun(_u12734, tc_HOL_Obool), _u12733), c_Orderings_Obot__class_Obot(tc_fun(_u12734, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12733, _u12734), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12740, _u12742), _u12744), hAPP(c_COMBK(tc_fun(_u12742, tc_HOL_Obool), _u12740), _u12746)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12740, _u12742), tc_HOL_Obool))) | ( _u12744 = c_Orderings_Obot__class_Obot(tc_fun(_u12740, tc_HOL_Obool))) | ( _u12746 = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12741, _u12743), _u12745), hAPP(c_COMBK(tc_fun(_u12743, tc_HOL_Obool), _u12741), _u12747)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12741, _u12743), tc_HOL_Obool))) | ( _u12745 != c_Orderings_Obot__class_Obot(tc_fun(_u12741, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12741, _u12743), _u12745), hAPP(c_COMBK(tc_fun(_u12743, tc_HOL_Obool), _u12741), _u12747)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12741, _u12743), tc_HOL_Obool))) | ( _u12747 != c_Orderings_Obot__class_Obot(tc_fun(_u12743, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12748, _u12749), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12748, _u12749), c_Orderings_Otop__class_Otop(tc_fun(_u12748, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12749, tc_HOL_Obool), _u12748), _u12750))) = hAPP(hAPP(c_Product__Type_OSigma(_u12748, _u12749), c_Orderings_Otop__class_Otop(tc_fun(_u12748, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12749, tc_HOL_Obool), _u12748), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12749, tc_HOL_Obool)), _u12750)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12751, _u12752), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12751, _u12752), _u12753), hAPP(c_COMBK(tc_fun(_u12752, tc_HOL_Obool), _u12751), c_Orderings_Otop__class_Otop(tc_fun(_u12752, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12751, _u12752), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12751, tc_HOL_Obool)), _u12753)), hAPP(c_COMBK(tc_fun(_u12752, tc_HOL_Obool), _u12751), c_Orderings_Otop__class_Otop(tc_fun(_u12752, tc_HOL_Obool))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12754) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12755, _u12754), hAPP(hAPP(c_COMBC(_u12755, tc_fun(_u12756, tc_HOL_Obool), _u12754), hAPP(hAPP(c_COMBB(tc_fun(_u12756, _u12754), tc_fun(tc_fun(_u12756, tc_HOL_Obool), _u12754), _u12755), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12756, _u12754)), _u12757)), _u12758)), _u12759) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12755, _u12756), _u12754), hAPP(c_Product__Type_Oprod_Oprod__case(_u12755, _u12756, _u12754), _u12757)), hAPP(hAPP(c_Product__Type_OSigma(_u12755, _u12756), _u12759), hAPP(c_COMBK(tc_fun(_u12756, tc_HOL_Obool), _u12755), _u12758)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12760, _u12761), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12760, tc_HOL_Obool)), _u12762), _u12763)), _u12764) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12760, _u12761), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12760, _u12761), _u12762), _u12764)), hAPP(hAPP(c_Product__Type_OSigma(_u12760, _u12761), _u12763), _u12764))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12765, _u12766), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12765, tc_HOL_Obool)), _u12767), _u12768)), hAPP(c_COMBK(tc_fun(_u12766, tc_HOL_Obool), _u12765), _u12769)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12765, _u12766), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12765, _u12766), _u12767), hAPP(c_COMBK(tc_fun(_u12766, tc_HOL_Obool), _u12765), _u12769))), hAPP(hAPP(c_Product__Type_OSigma(_u12765, _u12766), _u12768), hAPP(c_COMBK(tc_fun(_u12766, tc_HOL_Obool), _u12765), _u12769)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12770, _u12771), _u12772), hAPP(hAPP(c_COMBS(_u12770, tc_fun(_u12771, tc_HOL_Obool), tc_fun(_u12771, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12771, tc_HOL_Obool), tc_fun(tc_fun(_u12771, tc_HOL_Obool), tc_fun(_u12771, tc_HOL_Obool)), _u12770), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12771, tc_HOL_Obool))), _u12773)), _u12774)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12770, _u12771), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12770, _u12771), _u12772), _u12773)), hAPP(hAPP(c_Product__Type_OSigma(_u12770, _u12771), _u12772), _u12774))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12775, _u12776), tc_HOL_Obool)), _u12777), hAPP(hAPP(c_Product__Type_OSigma(_u12775, _u12776), _u12778), hAPP(c_COMBK(tc_fun(_u12776, tc_HOL_Obool), _u12775), _u12779)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12776, _u12780), tc_HOL_Obool)), _u12781), hAPP(hAPP(c_Product__Type_OSigma(_u12776, _u12780), _u12779), hAPP(c_COMBK(tc_fun(_u12780, tc_HOL_Obool), _u12776), _u12782)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12775, _u12780), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12775, _u12776, _u12780), _u12777), _u12781)), hAPP(hAPP(c_Product__Type_OSigma(_u12775, _u12780), _u12778), hAPP(c_COMBK(tc_fun(_u12780, tc_HOL_Obool), _u12775), _u12782)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12783, _u12784), tc_prod(_u12784, _u12783), hAPP(c_Product__Type_Oprod_Oprod__case(_u12783, _u12784, tc_prod(_u12784, _u12783)), hAPP(c_COMBC(_u12784, _u12783, tc_prod(_u12784, _u12783)), c_Product__Type_OPair(_u12784, _u12783)))), hAPP(hAPP(c_Product__Type_OSigma(_u12783, _u12784), _u12785), hAPP(c_COMBK(tc_fun(_u12784, tc_HOL_Obool), _u12783), _u12786))) = hAPP(hAPP(c_Product__Type_OSigma(_u12784, _u12783), _u12786), hAPP(c_COMBK(tc_fun(_u12783, tc_HOL_Obool), _u12784), _u12785))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12787), _u12788)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12789), _u12790)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12787, _u12789)), hAPP(hAPP(c_Product__Type_OSigma(_u12787, _u12789), _u12788), hAPP(c_COMBK(tc_fun(_u12789, tc_HOL_Obool), _u12787), _u12790)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12791, _u12792, _u12793) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12791, _u12791), tc_HOL_Obool)), _u12793), hAPP(hAPP(c_Product__Type_OSigma(_u12791, _u12791), _u12792), hAPP(c_COMBK(tc_fun(_u12791, tc_HOL_Obool), _u12791), _u12792)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12794, _u12795), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12794, tc_HOL_Obool)), _u12796), _u12797)), _u12798) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12794, _u12795), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12794, _u12795), _u12796), _u12798)), hAPP(hAPP(c_Product__Type_OSigma(_u12794, _u12795), _u12797), _u12798))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12799, _u12800), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12799, tc_HOL_Obool)), _u12801), _u12802)), hAPP(c_COMBK(tc_fun(_u12800, tc_HOL_Obool), _u12799), _u12803)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12799, _u12800), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12799, _u12800), _u12801), hAPP(c_COMBK(tc_fun(_u12800, tc_HOL_Obool), _u12799), _u12803))), hAPP(hAPP(c_Product__Type_OSigma(_u12799, _u12800), _u12802), hAPP(c_COMBK(tc_fun(_u12800, tc_HOL_Obool), _u12799), _u12803)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12804, _u12805), _u12806), hAPP(hAPP(c_COMBS(_u12804, tc_fun(_u12805, tc_HOL_Obool), tc_fun(_u12805, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12805, tc_HOL_Obool), tc_fun(tc_fun(_u12805, tc_HOL_Obool), tc_fun(_u12805, tc_HOL_Obool)), _u12804), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12805, tc_HOL_Obool))), _u12807)), _u12808)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12804, _u12805), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12804, _u12805), _u12806), _u12807)), hAPP(hAPP(c_Product__Type_OSigma(_u12804, _u12805), _u12806), _u12808))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12809, _u12809), tc_HOL_Obool)), c_Relation_OId__on(_u12809, _u12810)), hAPP(hAPP(c_Product__Type_OSigma(_u12809, _u12809), _u12810), hAPP(c_COMBK(tc_fun(_u12809, tc_HOL_Obool), _u12809), _u12810)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12811, _u12812), _u12813), hAPP(hAPP(c_COMBS(_u12811, tc_fun(_u12812, tc_HOL_Obool), tc_fun(_u12812, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12812, tc_HOL_Obool), tc_fun(tc_fun(_u12812, tc_HOL_Obool), tc_fun(_u12812, tc_HOL_Obool)), _u12811), c_Groups_Ominus__class_Ominus(tc_fun(_u12812, tc_HOL_Obool))), _u12814)), _u12815)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12811, _u12812), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12811, _u12812), _u12813), _u12814)), hAPP(hAPP(c_Product__Type_OSigma(_u12811, _u12812), _u12813), _u12815))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12816, _u12817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12816, tc_HOL_Obool)), _u12818), _u12819)), hAPP(c_COMBK(tc_fun(_u12817, tc_HOL_Obool), _u12816), _u12820)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12816, _u12817), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12816, _u12817), _u12818), hAPP(c_COMBK(tc_fun(_u12817, tc_HOL_Obool), _u12816), _u12820))), hAPP(hAPP(c_Product__Type_OSigma(_u12816, _u12817), _u12819), hAPP(c_COMBK(tc_fun(_u12817, tc_HOL_Obool), _u12816), _u12820)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12821, _u12822), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12821, tc_HOL_Obool)), _u12823), _u12824)), _u12825) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12821, _u12822), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12821, _u12822), _u12823), _u12825)), hAPP(hAPP(c_Product__Type_OSigma(_u12821, _u12822), _u12824), _u12825))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12836, _u12838), skolem282(_u12838, _u12836))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u12832, _u12834, _u12836), _u12838)) )).
% 12.21/12.41 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12837, _u12839), _u12827)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12833, _u12835, _u12837), _u12839)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12840, _u12841), c_Orderings_Otop__class_Otop(tc_fun(_u12840, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12841, tc_HOL_Obool), _u12840), c_Orderings_Otop__class_Otop(tc_fun(_u12841, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12840, _u12841), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12842, _u12843)), hAPP(hAPP(c_Product__Type_OPair(_u12842, _u12843), _u12844), _u12845)), hAPP(hAPP(c_Product__Type_OSigma(_u12842, _u12843), _u12846), _u12847))) | hBOOL(hAPP(hAPP(c_member(_u12842), _u12844), _u12846)) )).
% 12.21/12.41 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12842, _u12843)), hAPP(hAPP(c_Product__Type_OPair(_u12842, _u12843), _u12844), _u12845)), hAPP(hAPP(c_Product__Type_OSigma(_u12842, _u12843), _u12846), _u12847))) | hBOOL(hAPP(hAPP(c_member(_u12843), _u12845), hAPP(_u12847, _u12844))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12849), _u12851), hAPP(_u12853, _u12850))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12848, _u12849)), hAPP(hAPP(c_Product__Type_OPair(_u12848, _u12849), _u12850), _u12851)), hAPP(hAPP(c_Product__Type_OSigma(_u12848, _u12849), _u12852), _u12853))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12854, _u12855)), hAPP(hAPP(c_Product__Type_OPair(_u12854, _u12855), _u12856), _u12857)), hAPP(hAPP(c_Product__Type_OSigma(_u12854, _u12855), _u12858), _u12859))) | hBOOL(hAPP(hAPP(c_member(_u12854), _u12856), _u12858)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12866, _u12868)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12868), _u12870), _u12872)), hAPP(hAPP(c_Product__Type_OSigma(_u12866, _u12868), _u12874), _u12876))) | hBOOL(hAPP(hAPP(c_member(_u12866), _u12870), _u12874)) )).
% 12.21/12.41 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12866, _u12868)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12868), _u12870), _u12872)), hAPP(hAPP(c_Product__Type_OSigma(_u12866, _u12868), _u12874), _u12876))) | hBOOL(hAPP(hAPP(c_member(_u12868), _u12872), hAPP(_u12876, _u12870))) )).
% 12.21/12.41 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12867), _u12871), _u12875)) | ~hBOOL(hAPP(hAPP(c_member(_u12869), _u12873), hAPP(_u12877, _u12871))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12867, _u12869)), hAPP(hAPP(c_Product__Type_OPair(_u12867, _u12869), _u12871), _u12873)), hAPP(hAPP(c_Product__Type_OSigma(_u12867, _u12869), _u12875), _u12877))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12878, _u12879)), hAPP(hAPP(c_Product__Type_OSigma(_u12878, _u12879), hAPP(hAPP(c_Set_Oinsert(_u12878), _u12880), c_Orderings_Obot__class_Obot(tc_fun(_u12878, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12879, tc_HOL_Obool), _u12878), _u12881))) = hAPP(c_Finite__Set_Ocard(_u12879), _u12881)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12883), _u12884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12885, _u12882), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12886), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884))), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12887), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12885, tc_HOL_Obool)), _u12886), _u12887)) )).
% 12.21/12.41 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12883), _u12884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12885, tc_HOL_Obool)), _u12886), _u12887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12885, _u12882), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12886), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884))), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12887), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12888, _u12889), tc_HOL_Obool)), _u12890), hAPP(hAPP(c_Product__Type_OSigma(_u12888, _u12889), _u12891), hAPP(c_COMBK(tc_fun(_u12889, tc_HOL_Obool), _u12888), _u12892)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12889, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12888, _u12889, _u12890), _u12893)), _u12892)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12894, _u12895)), hAPP(hAPP(c_Product__Type_OSigma(_u12894, _u12895), _u12896), hAPP(c_COMBK(tc_fun(_u12895, tc_HOL_Obool), _u12894), _u12897)))) | ( _u12897 = c_Orderings_Obot__class_Obot(tc_fun(_u12895, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12894), _u12896)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12898, _u12899)), hAPP(hAPP(c_Product__Type_OSigma(_u12898, _u12899), _u12900), hAPP(c_COMBK(tc_fun(_u12899, tc_HOL_Obool), _u12898), _u12901)))) | ( _u12900 = c_Orderings_Obot__class_Obot(tc_fun(_u12898, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12899), _u12901)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12902, _u12903)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12902, _u12903, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12902, tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), _u12902), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12903)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12902), c_fconj), _u12904))), _u12905))) = hAPP(hAPP(c_Product__Type_OSigma(_u12902, _u12903), hAPP(c_Set_OCollect(_u12902), _u12904)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool), _u12902), c_Set_OCollect(_u12903)), _u12905))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12906, _u12907)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12906, _u12907, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12907, tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12907, tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), _u12906), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12907)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12906), c_fconj), _u12908))), _u12909))) = hAPP(hAPP(c_Product__Type_OSigma(_u12906, _u12907), hAPP(c_Set_OCollect(_u12906), _u12908)), hAPP(c_COMBK(tc_fun(_u12907, tc_HOL_Obool), _u12906), hAPP(c_Set_OCollect(_u12907), _u12909)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fst__image__times-1, axiom, ( ( _u12914 != c_Orderings_Obot__class_Obot(tc_fun(_u12916, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12918, _u12916), _u12918, c_Product__Type_Ofst(_u12918, _u12916)), hAPP(hAPP(c_Product__Type_OSigma(_u12918, _u12916), _u12920), hAPP(c_COMBK(tc_fun(_u12916, tc_HOL_Obool), _u12918), _u12914))) = c_Orderings_Obot__class_Obot(tc_fun(_u12918, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_fst__image__times-2, axiom, ( ( _u12915 = c_Orderings_Obot__class_Obot(tc_fun(_u12917, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12919, _u12917), _u12919, c_Product__Type_Ofst(_u12919, _u12917)), hAPP(hAPP(c_Product__Type_OSigma(_u12919, _u12917), _u12921), hAPP(c_COMBK(tc_fun(_u12917, tc_HOL_Obool), _u12919), _u12915))) = _u12921) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_snd__image__times-1, axiom, ( ( _u12926 != c_Orderings_Obot__class_Obot(tc_fun(_u12928, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12928, _u12930), _u12930, c_Product__Type_Osnd(_u12928, _u12930)), hAPP(hAPP(c_Product__Type_OSigma(_u12928, _u12930), _u12926), hAPP(c_COMBK(tc_fun(_u12930, tc_HOL_Obool), _u12928), _u12932))) = c_Orderings_Obot__class_Obot(tc_fun(_u12930, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_snd__image__times-2, axiom, ( ( _u12927 = c_Orderings_Obot__class_Obot(tc_fun(_u12929, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12929, _u12931), _u12931, c_Product__Type_Osnd(_u12929, _u12931)), hAPP(hAPP(c_Product__Type_OSigma(_u12929, _u12931), _u12927), hAPP(c_COMBK(tc_fun(_u12931, tc_HOL_Obool), _u12929), _u12933))) = _u12933) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12935), hAPP(hAPP(c_Set_Oinsert(_u12934), _u12936), _u12937)), hAPP(c_COMBK(tc_fun(_u12935, tc_HOL_Obool), _u12934), hAPP(hAPP(c_Set_Oinsert(_u12935), _u12938), _u12939))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12934, _u12935)), hAPP(hAPP(c_Product__Type_OPair(_u12934, _u12935), _u12936), _u12938)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12934, _u12935), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12935), _u12937), hAPP(c_COMBK(tc_fun(_u12935, tc_HOL_Obool), _u12934), hAPP(hAPP(c_Set_Oinsert(_u12935), _u12938), _u12939)))), hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12935), hAPP(hAPP(c_Set_Oinsert(_u12934), _u12936), _u12937)), hAPP(c_COMBK(tc_fun(_u12935, tc_HOL_Obool), _u12934), _u12939))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12940), _u12941)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12940, _u12940), tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Product__Type_OSigma(_u12940, _u12940), _u12941), hAPP(c_COMBK(tc_fun(_u12940, tc_HOL_Obool), _u12940), _u12941)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12940, tc_HOL_Obool)), _u12943), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12940), _u12941), _u12942))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12940), _u12943)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12944, tc_prod(_u12945, _u12946), _u12947), hAPP(hAPP(c_Product__Type_OSigma(_u12945, _u12946), _u12948), hAPP(c_COMBK(tc_fun(_u12946, tc_HOL_Obool), _u12945), _u12949))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12944, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12944, _u12945, hAPP(c_Fun_Ocomp(tc_prod(_u12945, _u12946), _u12945, _u12944, c_Product__Type_Ofst(_u12945, _u12946)), _u12947)), _u12948)), hAPP(c_Set_Ovimage(_u12944, _u12946, hAPP(c_Fun_Ocomp(tc_prod(_u12945, _u12946), _u12946, _u12944, c_Product__Type_Osnd(_u12945, _u12946)), _u12947)), _u12949))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12950, _u12951), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12950, _u12951), _u12954), hAPP(c_COMBK(tc_fun(_u12951, tc_HOL_Obool), _u12950), _u12955))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12950, _u12951, tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12950, tc_fun(_u12951, tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool))), tc_fun(_u12951, tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), tc_fun(tc_fun(_u12951, tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool))), tc_fun(_u12951, tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool))), _u12950), c_COMBB(tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool), _u12951)), hAPP(hAPP(c_COMBB(tc_fun(_u12952, tc_HOL_Obool), tc_fun(tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), _u12950), c_Product__Type_OSigma(_u12952, _u12953)), _u12956))), hAPP(hAPP(c_COMBB(tc_fun(_u12953, tc_HOL_Obool), tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), _u12951), c_COMBK(tc_fun(_u12953, tc_HOL_Obool), _u12952)), _u12957)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12952, _u12953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12950, tc_fun(_u12952, tc_HOL_Obool)), _u12954), _u12956)), hAPP(c_COMBK(tc_fun(_u12953, tc_HOL_Obool), _u12952), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12951, tc_fun(_u12953, tc_HOL_Obool)), _u12955), _u12957)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12958, _u12959), _u12960), _u12961) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12958, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), _u12960), hAPP(hAPP(c_COMBS(_u12958, tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12959, tc_HOL_Obool), tc_fun(tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), _u12958), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), _u12961)), hAPP(hAPP(c_COMBC(_u12958, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12959, tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), _u12958), c_COMBC(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12959, tc_prod(_u12958, _u12959)), tc_fun(_u12959, tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), _u12958), hAPP(c_COMBB(tc_prod(_u12958, _u12959), tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), _u12959), c_Set_Oinsert(tc_prod(_u12958, _u12959)))), c_Product__Type_OPair(_u12958, _u12959)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12962), _u12963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool)), _u12964), hAPP(hAPP(c_Product__Type_OSigma(_u12962, _u12962), _u12963), hAPP(c_COMBK(tc_fun(_u12962, tc_HOL_Obool), _u12962), _u12963)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12962, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12962), _u12963), _u12964))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u12965) | ~c_Fun_Oinj__on(tc_prod(_u12966, _u12967), _u12965, hAPP(c_Product__Type_Oprod_Oprod__case(_u12966, _u12967, _u12965), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), hAPP(hAPP(c_COMBB(tc_fun(_u12965, _u12965), tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), _u12966), c_COMBB(_u12965, _u12965, _u12967)), hAPP(hAPP(c_COMBB(_u12965, tc_fun(_u12965, _u12965), _u12966), c_Groups_Otimes__class_Otimes(_u12965)), _u12968))), _u12969)), hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12967), _u12970), hAPP(c_COMBK(tc_fun(_u12967, tc_HOL_Obool), _u12966), _u12971))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12965), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12966, _u12965), _u12968), _u12970)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12967, _u12965), _u12969), _u12971)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12965, _u12965), c_Fun_Oid(_u12965)), hAPP(c_Set_OCollect(_u12965), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool, _u12965), c_HOL_OEx(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_HOL_Obool), _u12965), hAPP(c_COMBB(tc_fun(_u12967, tc_HOL_Obool), tc_HOL_Obool, _u12966), c_HOL_OEx(_u12967))), hAPP(hAPP(c_COMBC(_u12965, tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool))), tc_fun(tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), _u12965), c_COMBS(_u12966, tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12966, tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool))), _u12965), hAPP(c_COMBB(tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool)), _u12966), c_COMBS(_u12967, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12965), hAPP(c_COMBB(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12966), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12967), c_fconj))), hAPP(hAPP(c_COMBC(_u12965, tc_fun(_u12966, tc_fun(_u12967, _u12965)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, tc_HOL_Obool)), tc_fun(tc_fun(_u12966, tc_fun(_u12967, _u12965)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), _u12965), c_COMBB(tc_fun(_u12967, _u12965), tc_fun(_u12967, tc_HOL_Obool), _u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12965, tc_HOL_Obool), tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, tc_HOL_Obool)), _u12965), c_COMBB(_u12965, tc_HOL_Obool, _u12967)), c_fequal))), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), hAPP(hAPP(c_COMBB(tc_fun(_u12965, _u12965), tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), _u12966), c_COMBB(_u12965, _u12965, _u12967)), hAPP(hAPP(c_COMBB(_u12965, tc_fun(_u12965, _u12965), _u12966), c_Groups_Otimes__class_Otimes(_u12965)), _u12968))), _u12969)))))), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool)), _u12966), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12967)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12966), c_fconj), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12966)), _u12970)))), hAPP(hAPP(c_COMBC(_u12967, tc_fun(_u12967, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12967)), _u12971)))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u12973, tc_prod(_u12974, _u12973), skolem283(_u12976, _u12975, _u12974, _u12973), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12974, tc_fun(_u12973, tc_HOL_Obool)), _u12975), _u12976)) )).
% 12.21/12.41 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12974, _u12973), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12973, tc_prod(_u12974, _u12973), skolem283(_u12976, _u12975, _u12974, _u12973)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12974, tc_fun(_u12973, tc_HOL_Obool)), _u12975), _u12976))), hAPP(hAPP(c_Product__Type_OSigma(_u12974, _u12973), _u12975), _u12976))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12979), _u12980)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, _u12979, c_Groups_Otimes__class_Otimes(_u12978)), hAPP(hAPP(c_COMBS(_u12979, tc_fun(_u12981, tc_HOL_Obool), _u12978), hAPP(hAPP(c_COMBC(_u12979, _u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), hAPP(hAPP(c_COMBB(tc_fun(_u12981, _u12978), tc_fun(_u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), _u12979), c_Finite__Set_Ofold__image(_u12978, _u12981, c_Groups_Otimes__class_Otimes(_u12978))), _u12983)), c_Groups_Oone__class_Oone(_u12978))), _u12982)), c_Groups_Oone__class_Oone(_u12978)), _u12980) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, tc_prod(_u12979, _u12981), c_Groups_Otimes__class_Otimes(_u12978)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12979, _u12981, _u12978), _u12983)), c_Groups_Oone__class_Oone(_u12978)), hAPP(hAPP(c_Product__Type_OSigma(_u12979, _u12981), _u12980), _u12982))) | hBOOL(hAPP(hAPP(c_member(_u12979), skolem284(_u12983, _u12982, _u12981, _u12980, _u12979, _u12978)), _u12980)) )).
% 12.21/12.41 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12979), _u12980)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, _u12979, c_Groups_Otimes__class_Otimes(_u12978)), hAPP(hAPP(c_COMBS(_u12979, tc_fun(_u12981, tc_HOL_Obool), _u12978), hAPP(hAPP(c_COMBC(_u12979, _u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), hAPP(hAPP(c_COMBB(tc_fun(_u12981, _u12978), tc_fun(_u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), _u12979), c_Finite__Set_Ofold__image(_u12978, _u12981, c_Groups_Otimes__class_Otimes(_u12978))), _u12983)), c_Groups_Oone__class_Oone(_u12978))), _u12982)), c_Groups_Oone__class_Oone(_u12978)), _u12980) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, tc_prod(_u12979, _u12981), c_Groups_Otimes__class_Otimes(_u12978)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12979, _u12981, _u12978), _u12983)), c_Groups_Oone__class_Oone(_u12978)), hAPP(hAPP(c_Product__Type_OSigma(_u12979, _u12981), _u12980), _u12982))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12981), hAPP(_u12982, skolem284(_u12983, _u12982, _u12981, _u12980, _u12979, _u12978)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_image__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12984, _u12984, c_Fun_Oid(_u12984)), _u12985) = _u12985) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u12986, _u12986, _u12987, c_Fun_Oid(_u12986)) = c_Fun_Oid(tc_prod(_u12986, _u12987))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u12988, _u12988, c_Fun_Oid(_u12988), _u12989) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12990, _u12990, c_Fun_Oid(_u12990)), _u12991) = _u12991) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_id__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u12992), _u12993) = _u12993) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u12994), _u12995) = _u12995) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_id__o ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u12996, _u12996, _u12997, c_Fun_Oid(_u12996)), _u12998) = _u12998) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_o__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u12999, _u13000, _u12999, _u13001), c_Fun_Oid(_u12999)) = _u13001) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13005, hAPP(_u13006, _u13008)) = hAPP(_u13007, _u13008)) | ( hAPP(c_Fun_Ocomp(_u13002, _u13003, _u13004, _u13005), _u13006) != hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13004, c_Fun_Oid(_u13003)), _u13007)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u13009, _u13009, _u13010, c_Fun_Oid(_u13009)) = c_Fun_Oid(tc_prod(_u13010, _u13009))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13011, _u13011, c_Fun_Oid(_u13011)), c_Orderings_Otop__class_Otop(tc_fun(_u13011, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13011, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u13012, _u13012, c_Orderings_Otop__class_Otop(tc_fun(_u13012, tc_HOL_Obool)), c_Fun_Oid(_u13012)) = c_Fun_Oid(_u13012)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13013, _u13014, _u13015, _u13016) | ( hAPP(_u13016, c_Orderings_Obot__class_Obot(tc_fun(_u13013, tc_HOL_Obool))) = c_Fun_Oid(_u13014)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13017, _u13018, tc_prod(_u13017, _u13018)), c_Product__Type_OPair(_u13017, _u13018)) = c_Fun_Oid(tc_prod(_u13017, _u13018))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13019) | ~c_Fun_Oinj__on(_u13020, _u13019, _u13021, _u13022) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13020, _u13019), _u13021), _u13022) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13019, _u13019), c_Fun_Oid(_u13019)), hAPP(c_Set_Oimage(_u13020, _u13019, _u13021), _u13022))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13023) | ~c_Fun_Oinj__on(_u13024, _u13023, _u13025, _u13026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13024, _u13023), _u13025), _u13026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13023, _u13023), c_Fun_Oid(_u13023)), hAPP(c_Set_Oimage(_u13024, _u13023, _u13025), _u13026))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u13030, _u13032, _u13034), c_Orderings_Otop__class_Otop(tc_fun(_u13030, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13032, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u13030, _u13032, _u13032, _u13034), c_Hilbert__Choice_Oinv__into(_u13030, _u13032, c_Orderings_Otop__class_Otop(tc_fun(_u13030, tc_HOL_Obool)), _u13034)) = c_Fun_Oid(_u13032)) )).
% 12.21/12.41 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u13031, _u13033, _u13033, _u13035), c_Hilbert__Choice_Oinv__into(_u13031, _u13033, c_Orderings_Otop__class_Otop(tc_fun(_u13031, tc_HOL_Obool)), _u13035)) != c_Fun_Oid(_u13033)) | ( hAPP(c_Set_Oimage(_u13031, _u13033, _u13035), c_Orderings_Otop__class_Otop(tc_fun(_u13031, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13033, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u13036, _u13037, _u13038, c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u13037, _u13036, _u13036, c_Hilbert__Choice_Oinv__into(_u13036, _u13037, c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool)), _u13038)), _u13038) = c_Fun_Oid(_u13036)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13042, _u13044, _u13046, c_Orderings_Otop__class_Otop(tc_fun(_u13042, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u13044, _u13042, _u13042, c_Hilbert__Choice_Oinv__into(_u13042, _u13044, c_Orderings_Otop__class_Otop(tc_fun(_u13042, tc_HOL_Obool)), _u13046)), _u13046) = c_Fun_Oid(_u13042)) )).
% 12.21/12.41 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u13045, _u13043, _u13043, c_Hilbert__Choice_Oinv__into(_u13043, _u13045, c_Orderings_Otop__class_Otop(tc_fun(_u13043, tc_HOL_Obool)), _u13047)), _u13047) != c_Fun_Oid(_u13043)) | c_Fun_Oinj__on(_u13043, _u13045, _u13047, c_Orderings_Otop__class_Otop(tc_fun(_u13043, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13050), _u13051)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13050, _u13049), hAPP(hAPP(c_COMBS(_u13050, tc_fun(_u13052, tc_HOL_Obool), _u13049), hAPP(hAPP(c_COMBB(tc_fun(_u13052, _u13049), tc_fun(tc_fun(_u13052, tc_HOL_Obool), _u13049), _u13050), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13052, _u13049)), _u13054)), _u13053)), _u13051) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13050, _u13052), _u13049), hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13052, _u13049), _u13054)), hAPP(hAPP(c_Product__Type_OSigma(_u13050, _u13052), _u13051), _u13053))) | hBOOL(hAPP(hAPP(c_member(_u13050), skolem285(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)), _u13051)) )).
% 12.21/12.41 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13050), _u13051)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13050, _u13049), hAPP(hAPP(c_COMBS(_u13050, tc_fun(_u13052, tc_HOL_Obool), _u13049), hAPP(hAPP(c_COMBB(tc_fun(_u13052, _u13049), tc_fun(tc_fun(_u13052, tc_HOL_Obool), _u13049), _u13050), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13052, _u13049)), _u13054)), _u13053)), _u13051) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13050, _u13052), _u13049), hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13052, _u13049), _u13054)), hAPP(hAPP(c_Product__Type_OSigma(_u13050, _u13052), _u13051), _u13053))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13052), hAPP(_u13053, skolem285(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13057), _u13058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13057, _u13056), hAPP(hAPP(c_COMBS(_u13057, tc_fun(_u13059, tc_HOL_Obool), _u13056), hAPP(hAPP(c_COMBB(tc_fun(_u13059, _u13056), tc_fun(tc_fun(_u13059, tc_HOL_Obool), _u13056), _u13057), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13059, _u13056)), _u13061)), _u13060)), _u13058) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13057, _u13059), _u13056), hAPP(c_Product__Type_Oprod_Oprod__case(_u13057, _u13059, _u13056), _u13061)), hAPP(hAPP(c_Product__Type_OSigma(_u13057, _u13059), _u13058), _u13060))) | hBOOL(hAPP(hAPP(c_member(_u13057), skolem286(_u13061, _u13060, _u13059, _u13058, _u13057, _u13056)), _u13058)) )).
% 12.21/12.41 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13057), _u13058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13057, _u13056), hAPP(hAPP(c_COMBS(_u13057, tc_fun(_u13059, tc_HOL_Obool), _u13056), hAPP(hAPP(c_COMBB(tc_fun(_u13059, _u13056), tc_fun(tc_fun(_u13059, tc_HOL_Obool), _u13056), _u13057), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13059, _u13056)), _u13061)), _u13060)), _u13058) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13057, _u13059), _u13056), hAPP(c_Product__Type_Oprod_Oprod__case(_u13057, _u13059, _u13056), _u13061)), hAPP(hAPP(c_Product__Type_OSigma(_u13057, _u13059), _u13058), _u13060))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13059), hAPP(_u13060, skolem286(_u13061, _u13060, _u13059, _u13058, _u13057, _u13056)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13063), _u13064)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13063, _u13065)), hAPP(hAPP(c_Product__Type_OSigma(_u13063, _u13065), _u13064), _u13066)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13063, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13065, tc_HOL_Obool), tc_Nat_Onat, _u13063), c_Finite__Set_Ocard(_u13065)), _u13066)), _u13064)) | hBOOL(hAPP(hAPP(c_member(_u13063), skolem287(_u13066, _u13065, _u13064, _u13063)), _u13064)) )).
% 12.21/12.41 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13063), _u13064)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13063, _u13065)), hAPP(hAPP(c_Product__Type_OSigma(_u13063, _u13065), _u13064), _u13066)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13063, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13065, tc_HOL_Obool), tc_Nat_Onat, _u13063), c_Finite__Set_Ocard(_u13065)), _u13066)), _u13064)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13065), hAPP(_u13066, skolem287(_u13066, _u13065, _u13064, _u13063)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13068), _u13069)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13068, _u13070)), hAPP(hAPP(c_Product__Type_OSigma(_u13068, _u13070), _u13069), _u13071))) | hBOOL(hAPP(hAPP(c_member(_u13068), skolem288(_u13071, _u13070, _u13069, _u13068)), _u13069)) )).
% 12.21/12.41 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13068), _u13069)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13068, _u13070)), hAPP(hAPP(c_Product__Type_OSigma(_u13068, _u13070), _u13069), _u13071))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13070), hAPP(_u13071, skolem288(_u13071, _u13070, _u13069, _u13068)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13074, _u13075)), _u13076), hAPP(hAPP(c_Product__Type_OSigma(_u13074, _u13075), _u13077), _u13078))) | hBOOL(hAPP(hAPP(c_member(_u13074), skolem289(_u13078, _u13077, _u13076, _u13075, _u13074)), _u13077)) )).
% 12.21/12.41 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13074, _u13075)), _u13076), hAPP(hAPP(c_Product__Type_OSigma(_u13074, _u13075), _u13077), _u13078))) | hBOOL(hAPP(hAPP(c_member(_u13075), skolem290(_u13078, _u13077, _u13076, _u13075, _u13074)), hAPP(_u13078, skolem289(_u13078, _u13077, _u13076, _u13075, _u13074)))) )).
% 12.21/12.41 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13074, _u13075)), _u13076), hAPP(hAPP(c_Product__Type_OSigma(_u13074, _u13075), _u13077), _u13078))) | ( _u13076 = hAPP(hAPP(c_Product__Type_OPair(_u13074, _u13075), skolem289(_u13078, _u13077, _u13076, _u13075, _u13074)), skolem290(_u13078, _u13077, _u13076, _u13075, _u13074))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13079, _u13080, _u13081), c_Orderings_Otop__class_Otop(tc_fun(_u13079, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13080, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13082, _u13083, _u13084), c_Orderings_Otop__class_Otop(tc_fun(_u13082, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13083, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13079, _u13082), tc_prod(_u13080, _u13083), c_Product__Type_Omap__pair(_u13079, _u13080, _u13082, _u13083, _u13081, _u13084)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13079, _u13082), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13080, _u13083), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13085, _u13086)), hAPP(hAPP(c_Product__Type_OPair(_u13085, _u13086), _u13087), _u13088)), _u13089)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13090, _u13091)), hAPP(hAPP(c_Product__Type_OPair(_u13090, _u13091), hAPP(_u13092, _u13087)), hAPP(_u13093, _u13088))), hAPP(c_Set_Oimage(tc_prod(_u13085, _u13086), tc_prod(_u13090, _u13091), c_Product__Type_Omap__pair(_u13085, _u13090, _u13086, _u13091, _u13092, _u13093)), _u13089))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13094, _u13094, _u13095, _u13095, c_COMBI(_u13094), c_COMBI(_u13095)), _u13096) = _u13096) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13097, _u13098, _u13099, _u13100, _u13101, _u13102), hAPP(hAPP(c_Product__Type_OPair(_u13097, _u13099), _u13103), _u13104)) = hAPP(hAPP(c_Product__Type_OPair(_u13098, _u13100), hAPP(_u13101, _u13103)), hAPP(_u13102, _u13104))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u13105, _u13106), hAPP(c_Product__Type_Omap__pair(_u13107, _u13105, _u13108, _u13106, _u13109, _u13110), _u13111)) = hAPP(_u13109, hAPP(c_Product__Type_Ofst(_u13107, _u13108), _u13111))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u13112, _u13113), hAPP(c_Product__Type_Omap__pair(_u13114, _u13112, _u13115, _u13113, _u13116, _u13117), _u13118)) = hAPP(_u13117, hAPP(c_Product__Type_Osnd(_u13114, _u13115), _u13118))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13119, _u13120), _u13120, tc_prod(_u13121, _u13122), c_Product__Type_Osnd(_u13119, _u13120)), c_Product__Type_Omap__pair(_u13121, _u13119, _u13122, _u13120, _u13123, _u13124)) = hAPP(c_Fun_Ocomp(_u13122, _u13120, tc_prod(_u13121, _u13122), _u13124), c_Product__Type_Osnd(_u13121, _u13122))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13125, _u13126), _u13125, tc_prod(_u13127, _u13128), c_Product__Type_Ofst(_u13125, _u13126)), c_Product__Type_Omap__pair(_u13127, _u13125, _u13128, _u13126, _u13129, _u13130)) = hAPP(c_Fun_Ocomp(_u13127, _u13125, tc_prod(_u13127, _u13128), _u13129), c_Product__Type_Ofst(_u13127, _u13128))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13131, _u13132, _u13133, _u13134, _u13135, _u13136), hAPP(c_Product__Type_Omap__pair(_u13137, _u13131, _u13138, _u13133, _u13139, _u13140), _u13141)) = hAPP(c_Product__Type_Omap__pair(_u13137, _u13132, _u13138, _u13134, hAPP(c_Fun_Ocomp(_u13131, _u13132, _u13137, _u13135), _u13139), hAPP(c_Fun_Ocomp(_u13133, _u13134, _u13138, _u13136), _u13140)), _u13141)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13142, _u13143, _u13144, _u13145, hAPP(c_Fun_Ocomp(_u13146, _u13143, _u13142, _u13147), _u13148), hAPP(c_Fun_Ocomp(_u13149, _u13145, _u13144, _u13150), _u13151)) = hAPP(c_Fun_Ocomp(tc_prod(_u13146, _u13149), tc_prod(_u13143, _u13145), tc_prod(_u13142, _u13144), c_Product__Type_Omap__pair(_u13146, _u13143, _u13149, _u13145, _u13147, _u13150)), c_Product__Type_Omap__pair(_u13142, _u13146, _u13144, _u13149, _u13148, _u13151))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13152, _u13153), tc_prod(_u13154, _u13155), tc_prod(_u13156, _u13157), c_Product__Type_Omap__pair(_u13152, _u13154, _u13153, _u13155, _u13158, _u13159)), c_Product__Type_Omap__pair(_u13156, _u13152, _u13157, _u13153, _u13160, _u13161)) = c_Product__Type_Omap__pair(_u13156, _u13154, _u13157, _u13155, hAPP(c_Fun_Ocomp(_u13152, _u13154, _u13156, _u13158), _u13160), hAPP(c_Fun_Ocomp(_u13153, _u13155, _u13157, _u13159), _u13161))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u13162, _u13162, _u13163, _u13163, c_COMBI(_u13162), c_COMBI(_u13163)) = c_Fun_Oid(tc_prod(_u13162, _u13163))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u13164, _u13165, _u13166, _u13167) = c_Product__Type_Omap__pair(_u13164, _u13165, _u13166, _u13166, _u13167, c_Fun_Oid(_u13166))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u13168, _u13169, _u13170, _u13171) = c_Product__Type_Omap__pair(_u13170, _u13170, _u13168, _u13169, c_Fun_Oid(_u13170), _u13171)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u13172, _u13172, _u13173, _u13173, c_Fun_Oid(_u13172), c_Fun_Oid(_u13173)) = c_Fun_Oid(tc_prod(_u13172, _u13173))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u13174, _u13175, _u13176, _u13177, _u13178, _u13179) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13174, _u13176, tc_prod(_u13175, _u13177)), hAPP(hAPP(c_COMBC(_u13174, tc_fun(_u13176, _u13177), tc_fun(_u13176, tc_prod(_u13175, _u13177))), hAPP(hAPP(c_COMBB(tc_fun(_u13177, tc_prod(_u13175, _u13177)), tc_fun(tc_fun(_u13176, _u13177), tc_fun(_u13176, tc_prod(_u13175, _u13177))), _u13174), c_COMBB(_u13177, tc_prod(_u13175, _u13177), _u13176)), hAPP(hAPP(c_COMBB(_u13175, tc_fun(_u13177, tc_prod(_u13175, _u13177)), _u13174), c_Product__Type_OPair(_u13175, _u13177)), _u13178))), _u13179))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u13180, _u13181, _u13182), _u13183) != _u13184) | ( hAPP(c_Set_Oimage(_u13185, _u13186, _u13187), _u13188) != _u13189) | ( hAPP(c_Set_Oimage(tc_prod(_u13180, _u13185), tc_prod(_u13181, _u13186), c_Product__Type_Omap__pair(_u13180, _u13181, _u13185, _u13186, _u13182, _u13187)), hAPP(hAPP(c_Product__Type_OSigma(_u13180, _u13185), _u13183), hAPP(c_COMBK(tc_fun(_u13185, tc_HOL_Obool), _u13180), _u13188))) = hAPP(hAPP(c_Product__Type_OSigma(_u13181, _u13186), _u13184), hAPP(c_COMBK(tc_fun(_u13186, tc_HOL_Obool), _u13181), _u13189))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13190, _u13191) | ~c_Fun_Oinj__on(_u13190, _u13192, _u13193, c_Orderings_Otop__class_Otop(tc_fun(_u13190, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13192, hAPP(c_Set_Oimage(tc_prod(_u13190, _u13190), tc_prod(_u13192, _u13192), c_Product__Type_Omap__pair(_u13190, _u13192, _u13190, _u13192, _u13193, _u13193)), _u13191)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13194, _u13195, _u13196, _u13197) | ~c_Fun_Oinj__on(_u13198, _u13199, _u13200, _u13201) | c_Fun_Oinj__on(tc_prod(_u13194, _u13198), tc_prod(_u13195, _u13199), c_Product__Type_Omap__pair(_u13194, _u13195, _u13198, _u13199, _u13196, _u13200), hAPP(hAPP(c_Product__Type_OSigma(_u13194, _u13198), _u13197), hAPP(c_COMBK(tc_fun(_u13198, tc_HOL_Obool), _u13194), _u13201))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13204, _u13205)), _u13206), hAPP(c_Set_Oimage(tc_prod(_u13207, _u13208), tc_prod(_u13204, _u13205), c_Product__Type_Omap__pair(_u13207, _u13204, _u13208, _u13205, _u13209, _u13210)), _u13211))) | ( _u13206 = hAPP(hAPP(c_Product__Type_OPair(_u13204, _u13205), hAPP(_u13209, skolem291(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204))), hAPP(_u13210, skolem292(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204)))) )).
% 12.21/12.41 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13204, _u13205)), _u13206), hAPP(c_Set_Oimage(tc_prod(_u13207, _u13208), tc_prod(_u13204, _u13205), c_Product__Type_Omap__pair(_u13207, _u13204, _u13208, _u13205, _u13209, _u13210)), _u13211))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13207, _u13208)), hAPP(hAPP(c_Product__Type_OPair(_u13207, _u13208), skolem291(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204)), skolem292(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204))), _u13211)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u13217, _u13219, _u13221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13217, _u13217), tc_HOL_Obool)), _u13221), hAPP(hAPP(c_Product__Type_OSigma(_u13217, _u13217), _u13219), hAPP(c_COMBK(tc_fun(_u13217, tc_HOL_Obool), _u13217), _u13219)))) )).
% 12.21/12.41 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u13217, _u13219, _u13221) | ~hBOOL(hAPP(hAPP(c_member(_u13217), _u13212), _u13219)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13217, _u13217)), hAPP(hAPP(c_Product__Type_OPair(_u13217, _u13217), _u13212), _u13212)), _u13221)) )).
% 12.21/12.41 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u13218, _u13220, _u13222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13218, _u13218), tc_HOL_Obool)), _u13222), hAPP(hAPP(c_Product__Type_OSigma(_u13218, _u13218), _u13220), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13218), _u13220)))) | hBOOL(hAPP(hAPP(c_member(_u13218), skolem293(_u13222, _u13220, _u13218)), _u13220)) )).
% 12.21/12.41 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u13218, _u13220, _u13222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13218, _u13218), tc_HOL_Obool)), _u13222), hAPP(hAPP(c_Product__Type_OSigma(_u13218, _u13218), _u13220), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13218), _u13220)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13218, _u13218)), hAPP(hAPP(c_Product__Type_OPair(_u13218, _u13218), skolem293(_u13222, _u13220, _u13218)), skolem293(_u13222, _u13220, _u13218))), _u13222)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), _u13225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem295(_u13227, _u13226, _u13225)), _u13225)) )).
% 12.21/12.41 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), _u13225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | ( hAPP(_u13226, skolem295(_u13227, _u13226, _u13225)) = _u13227) )).
% 12.21/12.41 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(_u13226, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13226, skolem294(_u13227, _u13226, _u13225))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem295(_u13227, _u13226, _u13225)), _u13225)) )).
% 12.21/12.41 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(_u13226, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13226, skolem294(_u13227, _u13226, _u13225))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | ( hAPP(_u13226, skolem295(_u13227, _u13226, _u13225)) = _u13227) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u13228, _u13229, c_Relation_OId__on(_u13228, _u13229)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u13230, c_Orderings_Obot__class_Obot(tc_fun(_u13230, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13230, _u13230), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u13231, _u13232, _u13233) | ~c_Relation_Orefl__on(_u13231, _u13234, _u13235) | c_Relation_Orefl__on(_u13231, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13231, tc_HOL_Obool)), _u13232), _u13234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13231, _u13231), tc_HOL_Obool)), _u13233), _u13235)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u13236, _u13237, _u13238) | ~c_Relation_Orefl__on(_u13236, _u13239, _u13240) | c_Relation_Orefl__on(_u13236, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13236, tc_HOL_Obool)), _u13237), _u13239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool)), _u13238), _u13240)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u13241, _u13242, _u13243) | ~hBOOL(hAPP(hAPP(c_member(_u13241), _u13244), _u13242)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13241, _u13241)), hAPP(hAPP(c_Product__Type_OPair(_u13241, _u13241), _u13244), _u13244)), _u13243)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u13245, _u13246, _u13247) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13245, _u13245)), hAPP(hAPP(c_Product__Type_OPair(_u13245, _u13245), _u13248), _u13249)), _u13247)) | hBOOL(hAPP(hAPP(c_member(_u13245), _u13248), _u13246)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u13250, _u13251, _u13252) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13250, _u13250)), hAPP(hAPP(c_Product__Type_OPair(_u13250, _u13250), _u13253), _u13254)), _u13252)) | hBOOL(hAPP(hAPP(c_member(_u13250), _u13254), _u13251)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u13257, _u13259) | c_Relation_Orefl__on(_u13257, c_Orderings_Otop__class_Otop(tc_fun(_u13257, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13257, _u13257)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13257, _u13257, tc_HOL_Obool), _u13259))) )).
% 12.21/12.41 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u13258, c_Orderings_Otop__class_Otop(tc_fun(_u13258, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13258, _u13258)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13258, _u13258, tc_HOL_Obool), _u13260))) | c_Predicate_Oreflp(_u13258, _u13260) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13262, _u13262), tc_HOL_Obool)), _u13263), hAPP(hAPP(c_Product__Type_OSigma(_u13262, _u13262), _u13264), hAPP(c_COMBK(tc_fun(_u13262, tc_HOL_Obool), _u13262), _u13264)))) | c_Relation_Orefl__on(_u13262, _u13264, _u13263) | hBOOL(hAPP(hAPP(c_member(_u13262), skolem296(_u13264, _u13263, _u13262)), _u13264)) )).
% 12.21/12.41 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13262, _u13262), tc_HOL_Obool)), _u13263), hAPP(hAPP(c_Product__Type_OSigma(_u13262, _u13262), _u13264), hAPP(c_COMBK(tc_fun(_u13262, tc_HOL_Obool), _u13262), _u13264)))) | c_Relation_Orefl__on(_u13262, _u13264, _u13263) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13262, _u13262)), hAPP(hAPP(c_Product__Type_OPair(_u13262, _u13262), skolem296(_u13264, _u13263, _u13262)), skolem296(_u13264, _u13263, _u13262))), _u13263)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), _u13267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem298(_u13269, _u13268, _u13267)), _u13267)) )).
% 12.21/12.41 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), _u13267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | ( hAPP(_u13268, skolem298(_u13269, _u13268, _u13267)) = _u13269) )).
% 12.21/12.41 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(_u13268, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13268, skolem297(_u13269, _u13268, _u13267))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem298(_u13269, _u13268, _u13267)), _u13267)) )).
% 12.21/12.41 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(_u13268, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13268, skolem297(_u13269, _u13268, _u13267))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | ( hAPP(_u13268, skolem298(_u13269, _u13268, _u13267)) = _u13269) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u13271, _u13272), _u13272)) | ~c_Predicate_Oreflp(_u13270, _u13271) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u13275, _u13277) | c_Wellfounded_Owf(_u13275, hAPP(c_Set_OCollect(tc_prod(_u13275, _u13275)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13275, _u13275, tc_HOL_Obool), _u13277))) )).
% 12.21/12.41 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u13276, hAPP(c_Set_OCollect(tc_prod(_u13276, _u13276)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13276, _u13276, tc_HOL_Obool), _u13278))) | c_Wellfounded_OwfP(_u13276, _u13278) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13280), _u13281)) | 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(_u13280, tc_Nat_Onat), _u13282), _u13281))) | hBOOL(hAPP(hAPP(c_member(_u13280), skolem299(_u13282, _u13281, _u13280)), _u13281)) )).
% 12.21/12.41 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13280), _u13281)) | 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(_u13280, tc_Nat_Onat), _u13282), _u13281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u13282, skolem299(_u13282, _u13281, _u13280)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Rep__Integ__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13284), c_Int_OInteg)) | ~hBOOL(hAPP(_u13285, hAPP(c_Int_ORep__Integ, skolem300(_u13285, _u13284)))) | hBOOL(hAPP(_u13285, _u13284)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u13286, hAPP(c_COMBK(tc_fun(_u13286, tc_HOL_Obool), _u13286), hAPP(c_COMBK(tc_HOL_Obool, _u13286), c_fFalse))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u13291, _u13293) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13291, _u13293), _u13287)) )).
% 12.21/12.41 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13292, _u13294), skolem301(_u13294, _u13292))) | c_Wellfounded_OwfP(_u13292, _u13294) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u13295, _u13296) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13295, _u13296), _u13297)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u13298, _u13299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13298, tc_fun(_u13298, tc_HOL_Obool))), _u13300), _u13299)) | c_Wellfounded_OwfP(_u13298, _u13300) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u13301, _u13302) | c_Wellfounded_OwfP(_u13301, c_FunDef_Oin__rel(_u13301, _u13301, _u13302)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u13305, hAPP(hAPP(c_COMBC(_u13305, tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_fun(_u13305, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_fun(_u13305, tc_HOL_Obool)), _u13305), c_COMBC(_u13305, tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_prod(_u13305, _u13305)), tc_fun(_u13305, tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool)), _u13305), hAPP(c_COMBB(tc_prod(_u13305, _u13305), tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool), _u13305), c_member(tc_prod(_u13305, _u13305)))), c_Product__Type_OPair(_u13305, _u13305)))), _u13307)) | c_Wellfounded_Owf(_u13305, _u13307) )).
% 12.21/12.41 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u13306, _u13308) | c_Wellfounded_OwfP(_u13306, hAPP(hAPP(c_COMBC(_u13306, tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13306, tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), _u13306), c_COMBC(_u13306, tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13306, tc_prod(_u13306, _u13306)), tc_fun(_u13306, tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool)), _u13306), hAPP(c_COMBB(tc_prod(_u13306, _u13306), tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool), _u13306), c_member(tc_prod(_u13306, _u13306)))), c_Product__Type_OPair(_u13306, _u13306)))), _u13308)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u13309, _u13310) | c_Wellfounded_Oacyclic(_u13309, hAPP(c_Set_OCollect(tc_prod(_u13309, _u13309)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13309, _u13309, tc_HOL_Obool), _u13310))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Rep__Integ__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13312), c_Int_OInteg)) | ( _u13312 = hAPP(c_Int_ORep__Integ, skolem302(_u13312))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13316), hAPP(c_Set_Oimage(_u13314, _u13316, _u13317), _u13315))) | hBOOL(hAPP(hAPP(c_member(_u13314), skolem303(_u13317, _u13316, _u13315, _u13314)), _u13315)) )).
% 12.21/12.41 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13316), hAPP(c_Set_Oimage(_u13314, _u13316, _u13317), _u13315))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), hAPP(c_Set_OCollect(_u13314), hAPP(hAPP(c_COMBS(_u13314, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13314), c_fconj), hAPP(hAPP(c_COMBC(_u13314, tc_fun(_u13314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13314)), _u13315))), hAPP(hAPP(c_COMBC(_u13314, _u13316, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13316, tc_fun(_u13316, tc_HOL_Obool), _u13314), c_fequal), _u13317)), hAPP(_u13317, skolem303(_u13317, _u13316, _u13315, _u13314))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13318, _u13319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13318, _u13318), tc_HOL_Obool)), _u13320), _u13319)) | c_Wellfounded_Oacyclic(_u13318, _u13320) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u13321, _u13322) | c_Wellfounded_Oacyclic(_u13321, _u13322) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13323, _u13323)), _u13324)) | ~c_Wellfounded_Owf(_u13323, _u13324) | c_Wellfounded_Oacyclic(_u13323, _u13324) )).
% 12.21/12.41 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13323, _u13323)), _u13324)) | ~c_Wellfounded_Oacyclic(_u13323, _u13324) | c_Wellfounded_Owf(_u13323, _u13324) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13325, _u13325)), _u13326)) | ~c_Wellfounded_Oacyclic(_u13325, _u13326) | c_Wellfounded_Owf(_u13325, _u13326) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u13329, _u13331) | c_Wellfounded_Oacyclic(_u13329, _u13331) )).
% 12.21/12.41 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u13329, _u13331) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13329, _u13329)), _u13331)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.21/12.41 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u13330, _u13332) | ~c_Wellfounded_Oacyclic(_u13330, _u13332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13330, _u13330)), _u13332)) )).
% 12.21/12.41 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u13330, _u13332) | ~c_Wellfounded_Oacyclic(_u13330, _u13332) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u13340, _u13342, _u13344) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13340, _u13340)), _u13333), _u13344)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13340, _u13340, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13340, tc_fun(_u13340, tc_HOL_Obool), tc_fun(_u13340, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13340, tc_HOL_Obool), tc_fun(_u13340, tc_HOL_Obool)), _u13340), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13340)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13340), c_fconj), hAPP(hAPP(c_COMBC(_u13340, tc_fun(_u13340, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13340)), _u13342)))), hAPP(hAPP(c_COMBC(_u13340, tc_fun(_u13340, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13340)), _u13342))), _u13333)) )).
% 12.21/12.41 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u13340, _u13342, _u13344) | ~hBOOL(hAPP(hAPP(c_member(_u13340), _u13334), _u13342)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13340, _u13340)), hAPP(hAPP(c_Product__Type_OPair(_u13340, _u13340), _u13334), _u13334)), _u13344)) )).
% 12.21/12.41 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), skolem304(_u13345, _u13343, _u13341)), _u13345)) | hBOOL(hAPP(hAPP(c_member(_u13341), skolem305(_u13345, _u13343, _u13341)), _u13343)) )).
% 12.21/12.41 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), skolem304(_u13345, _u13343, _u13341)), _u13345)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), hAPP(hAPP(c_Product__Type_OPair(_u13341, _u13341), skolem305(_u13345, _u13343, _u13341)), skolem305(_u13345, _u13343, _u13341))), _u13345)) )).
% 12.21/12.41 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13341, _u13341, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), _u13341), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13341)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13341), c_fconj), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343)))), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343))), skolem304(_u13345, _u13343, _u13341))) | hBOOL(hAPP(hAPP(c_member(_u13341), skolem305(_u13345, _u13343, _u13341)), _u13343)) )).
% 12.21/12.41 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13341, _u13341, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), _u13341), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13341)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13341), c_fconj), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343)))), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343))), skolem304(_u13345, _u13343, _u13341))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), hAPP(hAPP(c_Product__Type_OPair(_u13341, _u13341), skolem305(_u13345, _u13343, _u13341)), skolem305(_u13345, _u13343, _u13341))), _u13345)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13347, _u13348)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem306(_u13348, _u13347)), c_Int_OInteg)) )).
% 12.21/12.41 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13347, _u13348)) | ~hBOOL(hAPP(_u13347, hAPP(c_Int_OAbs__Integ, skolem306(_u13348, _u13347)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13350), _u13349), c_Orderings_Obot__class_Obot(tc_fun(_u13350, tc_HOL_Obool)))) | hBOOL(hAPP(_u13351, _u13349)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13357, _u13359), _u13361)) | ~hBOOL(hAPP(hAPP(c_member(_u13357), _u13352), _u13361)) | hBOOL(hAPP(_u13359, _u13352)) )).
% 12.21/12.41 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13358, _u13360), _u13362)) | hBOOL(hAPP(hAPP(c_member(_u13358), skolem307(_u13362, _u13360, _u13358)), _u13362)) )).
% 12.21/12.41 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13358, _u13360), _u13362)) | ~hBOOL(hAPP(_u13360, skolem307(_u13362, _u13360, _u13358))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13369, _u13371, _u13373, _u13375) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13369, _u13369)), _u13363), _u13373)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13369, _u13369, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13369, tc_fun(_u13369, _u13371), tc_fun(_u13369, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13371, tc_HOL_Obool), tc_fun(tc_fun(_u13369, _u13371), tc_fun(_u13369, tc_HOL_Obool)), _u13369), c_COMBB(_u13371, tc_HOL_Obool, _u13369)), hAPP(hAPP(c_COMBB(_u13371, tc_fun(_u13371, tc_HOL_Obool), _u13369), c_fequal), _u13375))), _u13375)), _u13363)) )).
% 12.21/12.41 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13370, _u13372, _u13374, _u13376) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13370, _u13370)), skolem308(_u13376, _u13374, _u13372, _u13370)), _u13374)) )).
% 12.21/12.41 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13370, _u13372, _u13374, _u13376) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13370, _u13370, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13370, tc_fun(_u13370, _u13372), tc_fun(_u13370, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13372, tc_HOL_Obool), tc_fun(tc_fun(_u13370, _u13372), tc_fun(_u13370, tc_HOL_Obool)), _u13370), c_COMBB(_u13372, tc_HOL_Obool, _u13370)), hAPP(hAPP(c_COMBB(_u13372, tc_fun(_u13372, tc_HOL_Obool), _u13370), c_fequal), _u13376))), _u13376)), skolem308(_u13376, _u13374, _u13372, _u13370))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13378 = hAPP(c_Int_OAbs__Integ, skolem309(_u13378))) )).
% 12.21/12.41 cnf(fact_Abs__Integ__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem309(_u13378)), c_Int_OInteg)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13380, tc_fun(_u13382, tc_HOL_Obool)), _u13381), _u13383))) | hBOOL(hAPP(hAPP(c_member(_u13380), skolem310(_u13383, _u13382, _u13381, _u13380)), _u13381)) )).
% 12.21/12.41 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13380, tc_fun(_u13382, tc_HOL_Obool)), _u13381), _u13383))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), hAPP(_u13383, skolem310(_u13383, _u13382, _u13381, _u13380)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 12.21/12.41 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)), _u13386), _u13385) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem311(_u13386, _u13385)), _u13385)) )).
% 12.21/12.41 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)), _u13386), _u13385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13386), skolem311(_u13386, _u13385))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13390, hAPP(_u13391, skolem312(_u13392, _u13391, _u13390))) | c_Wellfounded_OwfP(_u13390, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13392, tc_fun(_u13390, tc_fun(_u13390, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13392, tc_HOL_Obool))), _u13391)) | ( hAPP(_u13391, skolem313(_u13392, _u13391, _u13390)) != hAPP(_u13391, skolem314(_u13392, _u13391, _u13390))) )).
% 12.21/12.41 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13390, hAPP(_u13391, skolem312(_u13392, _u13391, _u13390))) | c_Wellfounded_OwfP(_u13390, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13392, tc_fun(_u13390, tc_fun(_u13390, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13392, tc_HOL_Obool))), _u13391)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13390, tc_HOL_Obool)), c_Predicate_ODomainP(_u13390, _u13390, hAPP(_u13391, skolem313(_u13392, _u13391, _u13390)))), c_Predicate_ORangeP(_u13390, _u13390, hAPP(_u13391, skolem314(_u13392, _u13391, _u13390)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13390, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__map__freshness ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__map__freshness-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13394), c_Map_Odom(_u13394, _u13395, _u13396))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13394), c_Orderings_Otop__class_Otop(tc_fun(_u13394, tc_HOL_Obool)))) | ( hAPP(_u13396, skolem315(_u13396, _u13395, _u13394)) = c_Option_Ooption_ONone(_u13395)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13402), _u13403), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13400, _u13401, tc_fun(_u13402, tc_HOL_Obool)), _u13404), _u13399))) | ( _u13399 = hAPP(hAPP(c_Product__Type_OPair(_u13400, _u13401), skolem316(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399)), skolem317(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399))) )).
% 12.21/12.41 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13402), _u13403), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13400, _u13401, tc_fun(_u13402, tc_HOL_Obool)), _u13404), _u13399))) | ~hBOOL(hAPP(hAPP(c_member(_u13402), _u13403), hAPP(hAPP(_u13404, skolem316(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399)), skolem317(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13407), _u13408), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13409, _u13410, tc_fun(_u13407, tc_HOL_Obool)), _u13411), _u13412))) | ( _u13412 = hAPP(hAPP(c_Product__Type_OPair(_u13409, _u13410), skolem318(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407)), skolem319(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407))) )).
% 12.21/12.41 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13407), _u13408), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13409, _u13410, tc_fun(_u13407, tc_HOL_Obool)), _u13411), _u13412))) | hBOOL(hAPP(hAPP(c_member(_u13407), _u13408), hAPP(hAPP(_u13411, skolem318(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407)), skolem319(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13414, tc_Nat_Onat), _u13415), _u13416) != hAPP(c_Nat_OSuc, _u13417)) | hBOOL(hAPP(hAPP(c_member(_u13414), skolem320(_u13417, _u13416, _u13415, _u13414)), _u13416)) )).
% 12.21/12.41 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13414, tc_Nat_Onat), _u13415), _u13416) != hAPP(c_Nat_OSuc, _u13417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u13415, skolem320(_u13417, _u13416, _u13415, _u13414)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13418, _u13419), hAPP(c_Product__Type_Oprod_Oprod__case(_u13418, _u13419, tc_HOL_Obool), _u13420)) = c_Hilbert__Choice_OEps(tc_prod(_u13418, _u13419), hAPP(hAPP(c_COMBS(tc_prod(_u13418, _u13419), _u13419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13418, tc_fun(_u13419, tc_HOL_Obool), tc_prod(_u13418, _u13419)), _u13420), c_Product__Type_Ofst(_u13418, _u13419))), c_Product__Type_Osnd(_u13418, _u13419)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13421, hAPP(c_fequal, _u13422)) = _u13422) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13423, hAPP(hAPP(c_COMBC(_u13423, _u13423, tc_HOL_Obool), c_fequal), _u13424)) = _u13424) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u13429, c_Hilbert__Choice_OEps(_u13431, _u13429))) | hBOOL(hAPP(_u13429, skolem321(_u13431, _u13429))) )).
% 12.21/12.41 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u13430, _u13426)) | hBOOL(hAPP(_u13430, c_Hilbert__Choice_OEps(_u13432, _u13430))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u13434, _u13433)) | hBOOL(hAPP(_u13434, c_Hilbert__Choice_OEps(_u13435, _u13434))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_someI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u13436, _u13437)) | hBOOL(hAPP(_u13436, c_Hilbert__Choice_OEps(_u13438, _u13436))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u13440, _u13439)) | hBOOL(hAPP(_u13440, c_Hilbert__Choice_OEps(_u13441, _u13440))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u13443, _u13442)) | ( _u13444 != c_Hilbert__Choice_OEps(_u13445, _u13443)) | hBOOL(hAPP(_u13443, _u13444)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13446, _u13447), _u13448) = c_Hilbert__Choice_OEps(tc_prod(_u13446, _u13447), hAPP(c_Product__Type_Oprod_Oprod__case(_u13446, _u13447, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13447, tc_prod(_u13446, _u13447)), tc_fun(_u13447, tc_HOL_Obool), _u13446), hAPP(c_COMBB(tc_prod(_u13446, _u13447), tc_HOL_Obool, _u13447), _u13448)), c_Product__Type_OPair(_u13446, _u13447))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13449, _u13450), hAPP(c_Product__Type_Oprod_Oprod__case(_u13449, _u13450, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13449, tc_fun(_u13450, tc_HOL_Obool), tc_fun(_u13450, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13450, tc_HOL_Obool), tc_fun(_u13450, tc_HOL_Obool)), _u13449), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13450)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13449), c_fconj), hAPP(c_fequal, _u13451)))), hAPP(c_fequal, _u13452)))) = hAPP(hAPP(c_Product__Type_OPair(_u13449, _u13450), _u13451), _u13452)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u13453, _u13454, _u13455, _u13456), _u13457) = c_Hilbert__Choice_OEps(_u13453, hAPP(hAPP(c_COMBS(_u13453, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13453), c_fconj), hAPP(hAPP(c_COMBC(_u13453, tc_fun(_u13453, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13453)), _u13455))), hAPP(hAPP(c_COMBC(_u13453, _u13454, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13454, tc_fun(_u13454, tc_HOL_Obool), _u13453), c_fequal), _u13456)), _u13457)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u13458, _u13459, c_Orderings_Otop__class_Otop(tc_fun(_u13458, tc_HOL_Obool)), _u13460), _u13461) = c_Hilbert__Choice_OEps(_u13458, hAPP(hAPP(c_COMBC(_u13458, _u13459, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13459, tc_fun(_u13459, tc_HOL_Obool), _u13458), c_fequal), _u13460)), _u13461))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u13463, _u13464) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u13465, _u13464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13465), _u13463)) | ( _u13463 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u13465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u13464), skolem322(_u13465, _u13464, _u13463)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u13467, _u13468) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13467, tc_HOL_Obool)), skolem323(_u13468, _u13467)), hAPP(c_Relation_OImage(_u13467, _u13467, _u13468), skolem323(_u13468, _u13467)))) )).
% 12.21/12.41 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u13467, _u13468) | ( skolem323(_u13468, _u13467) != c_Orderings_Obot__class_Obot(tc_fun(_u13467, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13470, tc_HOL_Obool)), _u13471), _u13472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13470, _u13473), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13471), _u13474)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13472), _u13475))) | hBOOL(hAPP(hAPP(c_member(_u13470), skolem324(_u13475, _u13474, _u13473, _u13472, _u13471, _u13470)), _u13471)) )).
% 12.21/12.41 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13470, tc_HOL_Obool)), _u13471), _u13472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13470, _u13473), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13471), _u13474)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13472), _u13475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13473, tc_HOL_Obool)), hAPP(_u13474, skolem324(_u13475, _u13474, _u13473, _u13472, _u13471, _u13470))), hAPP(_u13475, skolem324(_u13475, _u13474, _u13473, _u13472, _u13471, _u13470)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13477), _u13478), c_Wellfounded_Oacc(_u13477, _u13479))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13477, _u13477)), hAPP(hAPP(c_Product__Type_OPair(_u13477, _u13477), skolem325(_u13479, _u13478, _u13477)), _u13478)), _u13479)) )).
% 12.21/12.41 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13477), _u13478), c_Wellfounded_Oacc(_u13477, _u13479))) | ~hBOOL(hAPP(hAPP(c_member(_u13477), skolem325(_u13479, _u13478, _u13477)), c_Wellfounded_Oacc(_u13477, _u13479))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13481), _u13482), c_Wellfounded_Oacc(_u13481, _u13483))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13481)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13481), skolem326(_u13483, _u13482, _u13481)), _u13482)), _u13483)) )).
% 12.21/12.41 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13481), _u13482), c_Wellfounded_Oacc(_u13481, _u13483))) | ~hBOOL(hAPP(hAPP(c_member(_u13481), skolem326(_u13483, _u13482, _u13481)), c_Wellfounded_Oacc(_u13481, _u13483))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13485, _u13486, c_Groups_Otimes__class_Otimes(_u13485)), _u13488), c_Groups_Oone__class_Oone(_u13485)), _u13487) = c_Groups_Oone__class_Oone(_u13485)) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem327(_u13488, _u13487, _u13486, _u13485)), _u13487)) )).
% 12.21/12.41 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13485, _u13486, c_Groups_Otimes__class_Otimes(_u13485)), _u13488), c_Groups_Oone__class_Oone(_u13485)), _u13487) = c_Groups_Oone__class_Oone(_u13485)) | ( hAPP(_u13488, skolem327(_u13488, _u13487, _u13486, _u13485)) != c_Groups_Oone__class_Oone(_u13485)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13490), _u13491)) | ( hAPP(c_Finite__Set_Ocard(_u13490), _u13491) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u13490), skolem328(_u13491, _u13490)), _u13491)) )).
% 12.21/12.41 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13490), _u13491)) | ( hAPP(c_Finite__Set_Ocard(_u13490), _u13491) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13500), _u13502)) )).
% 12.21/12.41 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13500), _u13504)) )).
% 12.21/12.41 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | ( _u13504 != c_Orderings_Obot__class_Obot(tc_fun(_u13500, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | ~hBOOL(hAPP(hAPP(c_member(_u13500), _u13493), _u13502)) | hBOOL(hAPP(hAPP(c_member(_u13500), skolem329(_u13506, _u13504, _u13502, _u13500, _u13493)), _u13504)) )).
% 12.21/12.41 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | ~hBOOL(hAPP(hAPP(c_member(_u13500), _u13493), _u13502)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13500, _u13500)), hAPP(hAPP(c_Product__Type_OPair(_u13500, _u13500), _u13493), skolem329(_u13506, _u13504, _u13502, _u13500, _u13493))), _u13506)) )).
% 12.21/12.41 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool)), _u13503), _u13505)), c_Wellfounded_Omax__ext(_u13501, _u13507))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13503)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13505)) | ( _u13505 = c_Orderings_Obot__class_Obot(tc_fun(_u13501, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13501), skolem330(_u13507, _u13505, _u13503, _u13501)), _u13503)) )).
% 12.21/12.41 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool)), _u13503), _u13505)), c_Wellfounded_Omax__ext(_u13501, _u13507))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13503)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13505)) | ( _u13505 = c_Orderings_Obot__class_Obot(tc_fun(_u13501, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13501), _u13494), _u13505)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13501, _u13501)), hAPP(hAPP(c_Product__Type_OPair(_u13501, _u13501), skolem330(_u13507, _u13505, _u13503, _u13501)), _u13494)), _u13507)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u13510, _u13511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13511), _u13509)) | hBOOL(hAPP(_u13510, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem331(_u13511, _u13510, _u13509)), _u13509)) )).
% 12.21/12.41 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u13510, _u13511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13511), _u13509)) | hBOOL(hAPP(_u13510, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u13510, skolem331(_u13511, _u13510, _u13509))) )).
% 12.21/12.41 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u13510, _u13511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13511), _u13509)) | hBOOL(hAPP(_u13510, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u13510, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem331(_u13511, _u13510, _u13509)), _u13509))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13513) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13514), _u13515)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13516), _u13518), _u13515) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13517), _u13518), _u13515)) | hBOOL(hAPP(hAPP(c_member(_u13514), skolem332(_u13518, _u13517, _u13516, _u13515, _u13514, _u13513)), _u13515)) )).
% 12.21/12.41 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13513) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13514), _u13515)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13516), _u13518), _u13515) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13517), _u13518), _u13515)) | ( hAPP(_u13516, skolem332(_u13518, _u13517, _u13516, _u13515, _u13514, _u13513)) != hAPP(_u13517, skolem332(_u13518, _u13517, _u13516, _u13515, _u13514, _u13513))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u13520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13520), _u13521)) | ~hBOOL(hAPP(hAPP(c_member(_u13520), _u13522), _u13521)) | ( c_Big__Operators_Olinorder__class_OMin(_u13520, _u13521) = _u13522) | hBOOL(hAPP(hAPP(c_member(_u13520), skolem333(_u13522, _u13521, _u13520)), _u13521)) )).
% 12.21/12.41 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u13520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13520), _u13521)) | ~hBOOL(hAPP(hAPP(c_member(_u13520), _u13522), _u13521)) | ( c_Big__Operators_Olinorder__class_OMin(_u13520, _u13521) = _u13522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13520), _u13522), skolem333(_u13522, _u13521, _u13520))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u13524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13524), _u13525)) | ~hBOOL(hAPP(hAPP(c_member(_u13524), _u13526), _u13525)) | ( c_Big__Operators_Olinorder__class_OMax(_u13524, _u13525) = _u13526) | hBOOL(hAPP(hAPP(c_member(_u13524), skolem334(_u13526, _u13525, _u13524)), _u13525)) )).
% 12.21/12.41 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u13524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13524), _u13525)) | ~hBOOL(hAPP(hAPP(c_member(_u13524), _u13526), _u13525)) | ( c_Big__Operators_Olinorder__class_OMax(_u13524, _u13525) = _u13526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13524), skolem334(_u13526, _u13525, _u13524)), _u13526)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u13528, _u13529) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13528, _u13528)), hAPP(hAPP(c_Product__Type_OPair(_u13528, _u13528), hAPP(_u13530, hAPP(c_Nat_OSuc, skolem335(_u13530, _u13529, _u13528)))), hAPP(_u13530, skolem335(_u13530, _u13529, _u13528)))), _u13529)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ( _u13537 != hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13534, _u13532), _u13539), _u13537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), _u13538), _u13536)) | hBOOL(hAPP(hAPP(c_member(_u13533), skolem336(_u13539, _u13538, _u13537, _u13536, _u13535, _u13534, _u13533, _u13532)), _u13536)) )).
% 12.21/12.41 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ( _u13537 != hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13534, _u13532), _u13539), _u13537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), _u13538), _u13536)) | ( hAPP(_u13538, skolem336(_u13539, _u13538, _u13537, _u13536, _u13535, _u13534, _u13533, _u13532)) != hAPP(_u13539, hAPP(_u13535, skolem336(_u13539, _u13538, _u13537, _u13536, _u13535, _u13534, _u13533, _u13532)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13540, _u13541, _u13542, _u13543), _u13544), _u13545), _u13546) = hAPP(hAPP(_u13545, hAPP(c_Product__Type_Ofst(_u13541, _u13542), hAPP(_u13544, _u13546))), hAPP(c_Product__Type_Osnd(_u13541, _u13542), hAPP(_u13544, _u13546)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13547, _u13548, _u13549, _u13550), hAPP(hAPP(c_Product__Type_Oscomp(_u13547, _u13551, _u13552, tc_prod(_u13548, _u13549)), _u13553), _u13554)), _u13555) = hAPP(hAPP(c_Product__Type_Oscomp(_u13547, _u13551, _u13552, _u13550), _u13553), hAPP(hAPP(c_COMBC(_u13551, tc_fun(_u13548, tc_fun(_u13549, _u13550)), tc_fun(_u13552, _u13550)), hAPP(hAPP(c_COMBB(tc_fun(_u13552, tc_prod(_u13548, _u13549)), tc_fun(tc_fun(_u13548, tc_fun(_u13549, _u13550)), tc_fun(_u13552, _u13550)), _u13551), c_Product__Type_Oscomp(_u13552, _u13548, _u13549, _u13550)), _u13554)), _u13555))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13556, _u13557, _u13558, tc_prod(_u13557, _u13558)), _u13559), c_Product__Type_OPair(_u13557, _u13558)) = _u13559) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13560, _u13561, _u13560, _u13562), hAPP(c_Product__Type_OPair(_u13561, _u13560), _u13563)), _u13564) = hAPP(_u13564, _u13563)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13565, _u13566, _u13567, _u13568), _u13569), _u13570), _u13571) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13566, _u13567, _u13568), _u13570), hAPP(_u13569, _u13571))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13572, _u13573, _u13574, _u13575), _u13576), _u13577), _u13578) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13573, _u13574, _u13575), _u13577), hAPP(_u13576, _u13578))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_iterate_Osimps-1, axiom, ( ( _u13584 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13586, _u13588, _u13584, _u13590), _u13592) = hAPP(c_Product__Type_OPair(_u13586, _u13588), _u13592)) )).
% 12.21/12.41 cnf(fact_iterate_Osimps-2, axiom, ( ( _u13585 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13587, _u13589, _u13585, _u13591), _u13593) = hAPP(hAPP(c_Product__Type_Oscomp(_u13589, _u13587, _u13589, tc_prod(_u13587, _u13589)), hAPP(_u13591, _u13593)), c_Random_Oiterate(_u13587, _u13589, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13585), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u13591))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13595) | ~class_Orderings_Oord(_u13596) | ( _u13597 != _u13598) | ( _u13599 != _u13600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13601), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13597), _u13599)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13602), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13598), _u13600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13596), _u13598), skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595))) )).
% 12.21/12.41 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13595) | ~class_Orderings_Oord(_u13596) | ( _u13597 != _u13598) | ( _u13599 != _u13600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13601), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13597), _u13599)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13602), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13598), _u13600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13596), skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595)), _u13600)) )).
% 12.21/12.41 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13595) | ~class_Orderings_Oord(_u13596) | ( _u13597 != _u13598) | ( _u13599 != _u13600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13601), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13597), _u13599)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13602), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13598), _u13600))) | ( hAPP(_u13601, skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595)) != hAPP(_u13602, skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u13605), _u13607)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13605), _u13607)) )).
% 12.21/12.41 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13606), _u13608)) | 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), _u13606), _u13608)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u13609, _u13610) | c_Wellfounded_Owf(_u13609, c_Transitive__Closure_Otrancl(_u13609, _u13610)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13615, _u13617) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13615, _u13615)), hAPP(hAPP(c_Product__Type_OPair(_u13615, _u13615), _u13611), _u13611)), c_Transitive__Closure_Otrancl(_u13615, _u13617))) )).
% 12.21/12.41 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13616, _u13616)), hAPP(hAPP(c_Product__Type_OPair(_u13616, _u13616), skolem338(_u13618, _u13616)), skolem338(_u13618, _u13616))), c_Transitive__Closure_Otrancl(_u13616, _u13618))) | c_Wellfounded_Oacyclic(_u13616, _u13618) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13619, _u13619)), hAPP(hAPP(c_Product__Type_OPair(_u13619, _u13619), _u13620), _u13621)), _u13622)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13619, _u13619)), hAPP(hAPP(c_Product__Type_OPair(_u13619, _u13619), _u13620), _u13621)), c_Transitive__Closure_Otrancl(_u13619, _u13622))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13623, _u13623), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13623, _u13624)), hAPP(hAPP(c_Product__Type_OSigma(_u13623, _u13623), hAPP(c_Relation_OField(_u13623), _u13624)), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13623), hAPP(c_Relation_OField(_u13623), _u13624))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), _u13626), _u13627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13625, _u13625, _u13625), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13625, _u13626)), _u13627)), _u13626)), _u13627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13625, _u13626)), _u13627)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13628, _u13628)), _u13629), _u13630)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13628, _u13628)), _u13629), c_Transitive__Closure_Otrancl(_u13628, _u13630))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13631, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13631, _u13631), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13631, _u13631), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13632, _u13632), c_Transitive__Closure_Otrancl(_u13632, _u13633)) = hAPP(c_Relation_ODomain(_u13632, _u13632), _u13633)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u13634, _u13634), c_Transitive__Closure_Otrancl(_u13634, _u13635)) = hAPP(c_Relation_ORange(_u13634, _u13634), _u13635)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13638, _u13638)), c_Transitive__Closure_Otrancl(_u13638, _u13640))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13638, _u13638)), _u13640)) )).
% 12.21/12.41 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13639, _u13639)), _u13641)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13639, _u13639)), c_Transitive__Closure_Otrancl(_u13639, _u13641))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13642, _u13642)), hAPP(hAPP(c_Product__Type_OPair(_u13642, _u13642), _u13643), _u13644)), c_Transitive__Closure_Otrancl(_u13642, _u13645))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13642, _u13642)), hAPP(hAPP(c_Product__Type_OPair(_u13642, _u13642), _u13644), _u13646)), c_Transitive__Closure_Otrancl(_u13642, _u13645))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13642, _u13642)), hAPP(hAPP(c_Product__Type_OPair(_u13642, _u13642), _u13643), _u13646)), c_Transitive__Closure_Otrancl(_u13642, _u13645))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13647, _u13647)), hAPP(hAPP(c_Product__Type_OPair(_u13647, _u13647), _u13648), _u13649)), c_Transitive__Closure_Otrancl(_u13647, _u13650))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13647, _u13647)), hAPP(hAPP(c_Product__Type_OPair(_u13647, _u13647), _u13649), _u13651)), _u13650)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13647, _u13647)), hAPP(hAPP(c_Product__Type_OPair(_u13647, _u13647), _u13648), _u13651)), c_Transitive__Closure_Otrancl(_u13647, _u13650))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13652, _u13652)), hAPP(hAPP(c_Product__Type_OPair(_u13652, _u13652), _u13653), _u13654)), _u13655)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13652, _u13652)), hAPP(hAPP(c_Product__Type_OPair(_u13652, _u13652), _u13654), _u13656)), c_Transitive__Closure_Otrancl(_u13652, _u13655))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13652, _u13652)), hAPP(hAPP(c_Product__Type_OPair(_u13652, _u13652), _u13653), _u13656)), c_Transitive__Closure_Otrancl(_u13652, _u13655))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13657, _u13657)), hAPP(hAPP(c_Product__Type_OPair(_u13657, _u13657), _u13658), _u13659)), _u13660)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13657, _u13657)), hAPP(hAPP(c_Product__Type_OPair(_u13657, _u13657), _u13659), _u13661)), _u13660)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13657, _u13657)), hAPP(hAPP(c_Product__Type_OPair(_u13657, _u13657), _u13658), _u13661)), c_Transitive__Closure_Otrancl(_u13657, _u13660))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13662, _u13662)), _u13663), c_Transitive__Closure_Otrancl(_u13662, _u13664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13662, _u13662), tc_HOL_Obool)), _u13664), _u13665)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13662, _u13662)), _u13663), c_Transitive__Closure_Otrancl(_u13662, _u13665))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13666, _u13667) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13666, _u13666), tc_HOL_Obool)), _u13667), hAPP(hAPP(c_Relation_Orel__comp(_u13666, _u13666, _u13666), c_Transitive__Closure_Otrancl(_u13666, _u13667)), _u13667))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13668, _u13668), tc_HOL_Obool)), _u13669), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13668), _u13670), hAPP(c_COMBK(tc_fun(_u13668, tc_HOL_Obool), _u13668), _u13670)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13668, _u13668), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13668, _u13669)), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13668), _u13670), hAPP(c_COMBK(tc_fun(_u13668, tc_HOL_Obool), _u13668), _u13670)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u13673, _u13675) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u13673), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.21/12.41 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u13673, _u13675) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13675), _u13673)) )).
% 12.21/12.41 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u13674), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13676), _u13674)) | ( c_Random_Olog(_u13674, _u13676) = 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(_u13674, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u13676), _u13674)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13680), _u13682)) | ( c_Random_Ominus__shift(_u13684, _u13680, _u13682) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u13684), _u13680)), _u13682)) )).
% 12.21/12.41 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13681), _u13683)) | ( c_Random_Ominus__shift(_u13685, _u13681, _u13683) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13681), _u13683)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inc__shift__def-1, axiom, ( ( _u13688 != _u13690) | ( c_Random_Oinc__shift(_u13688, _u13690) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.41 cnf(fact_inc__shift__def-2, axiom, ( ( _u13689 = _u13691) | ( c_Random_Oinc__shift(_u13689, _u13691) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u13691), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_range ( axiom ) converted to clauses:
% 12.21/12.41 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)), _u13692)) | 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(_u13692), _u13693))), _u13692)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13694, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13694, _u13694)), hAPP(hAPP(c_Product__Type_OPair(_u13694, _u13694), _u13695), _u13696)), _u13697)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13694, _u13697)), hAPP(c_Set_OCollect(tc_prod(_u13694, _u13694)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13694, _u13694, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13694, tc_fun(_u13694, tc_HOL_Obool), tc_fun(_u13694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13694, tc_HOL_Obool), tc_fun(_u13694, tc_HOL_Obool)), _u13694), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13694)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13694), c_fconj), hAPP(hAPP(c_COMBC(_u13694, tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13694, _u13694), tc_fun(tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), _u13694), c_member(tc_prod(_u13694, _u13694))), hAPP(hAPP(c_COMBC(_u13694, _u13694, tc_prod(_u13694, _u13694)), c_Product__Type_OPair(_u13694, _u13694)), _u13695))), c_Transitive__Closure_Ortrancl(_u13694, _u13697))))), hAPP(hAPP(c_COMBC(_u13694, tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13694, _u13694), tc_fun(tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), _u13694), c_member(tc_prod(_u13694, _u13694))), hAPP(c_Product__Type_OPair(_u13694, _u13694), _u13696))), c_Transitive__Closure_Ortrancl(_u13694, _u13697))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13702, tc_fun(_u13702, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13702, tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_fun(_u13702, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13702, tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_fun(_u13702, tc_HOL_Obool)), _u13702), c_COMBC(_u13702, tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13702, tc_prod(_u13702, _u13702)), tc_fun(_u13702, tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool)), _u13702), hAPP(c_COMBB(tc_prod(_u13702, _u13702), tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool), _u13702), c_member(tc_prod(_u13702, _u13702)))), c_Product__Type_OPair(_u13702, _u13702)))), _u13704)), c_fequal), _u13706), _u13708)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13702, _u13702)), hAPP(hAPP(c_Product__Type_OPair(_u13702, _u13702), _u13706), _u13708)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool)), _u13704), c_Relation_OId(_u13702)))) )).
% 12.21/12.41 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13703, _u13703)), hAPP(hAPP(c_Product__Type_OPair(_u13703, _u13703), _u13707), _u13709)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool)), _u13705), c_Relation_OId(_u13703)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13703, tc_fun(_u13703, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13703, tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_fun(_u13703, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13703, tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_fun(_u13703, tc_HOL_Obool)), _u13703), c_COMBC(_u13703, tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13703, tc_prod(_u13703, _u13703)), tc_fun(_u13703, tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool)), _u13703), hAPP(c_COMBB(tc_prod(_u13703, _u13703), tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool), _u13703), c_member(tc_prod(_u13703, _u13703)))), c_Product__Type_OPair(_u13703, _u13703)))), _u13705)), c_fequal), _u13707), _u13709)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13710, _u13710)), _u13711), _u13712)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13710, _u13710)), _u13711), c_Transitive__Closure_Ortrancl(_u13710, _u13712))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13713, _u13713)), hAPP(hAPP(c_Product__Type_OPair(_u13713, _u13713), _u13714), _u13714)), c_Transitive__Closure_Ortrancl(_u13713, _u13715))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_IdI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13716, _u13716)), hAPP(hAPP(c_Product__Type_OPair(_u13716, _u13716), _u13717), _u13717)), c_Relation_OId(_u13716))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13718, _u13718)), hAPP(hAPP(c_Product__Type_OPair(_u13718, _u13718), _u13719), _u13720)), c_Transitive__Closure_Otrancl(_u13718, _u13721))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13718, _u13718)), hAPP(hAPP(c_Product__Type_OPair(_u13718, _u13718), _u13719), _u13720)), c_Transitive__Closure_Ortrancl(_u13718, _u13721))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13722, _u13722), tc_HOL_Obool)), _u13723), _u13724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13722, _u13722), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13722, _u13723)), c_Transitive__Closure_Ortrancl(_u13722, _u13724))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13725, _u13725), tc_HOL_Obool)), _u13726), _u13727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13725, _u13725), tc_HOL_Obool)), _u13727), c_Transitive__Closure_Ortrancl(_u13725, _u13726))) | ( c_Transitive__Closure_Ortrancl(_u13725, _u13727) = c_Transitive__Closure_Ortrancl(_u13725, _u13726)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13728, _u13728), tc_HOL_Obool)), _u13729), c_Transitive__Closure_Ortrancl(_u13728, _u13730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13728, _u13728), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13728, _u13729)), c_Transitive__Closure_Ortrancl(_u13728, _u13730))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13731, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13731, _u13731, _u13732), _u13733)), _u13733)) | ( hAPP(c_Relation_OImage(_u13731, _u13731, c_Transitive__Closure_Ortrancl(_u13731, _u13732)), _u13733) = _u13733) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13734, _u13734), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13734, _u13734), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13734, _u13735)), c_Transitive__Closure_Ortrancl(_u13734, _u13736))), c_Transitive__Closure_Ortrancl(_u13734, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13734, _u13734), tc_HOL_Obool)), _u13735), _u13736)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), c_Relation_OId(_u13737)), _u13738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13737, _u13737, _u13737), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13737, _u13739)), _u13738)), _u13739)), _u13738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13737, _u13739)), _u13738)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u13740, _u13740, c_Relation_OId(_u13740)), _u13741) = _u13741) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13742, _u13742, _u13743), c_Relation_OId(_u13742)), _u13744) = _u13744) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13745, _u13746, _u13746), _u13747), c_Relation_OId(_u13746)) = _u13747) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u13748, c_Orderings_Otop__class_Otop(tc_fun(_u13748, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13748, _u13749)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13750, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13750, _u13750), tc_HOL_Obool)), _u13751), c_Relation_OId(_u13750))) = c_Transitive__Closure_Ortrancl(_u13750, _u13751)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13752, _u13752, _u13752), _u13753), c_Transitive__Closure_Ortrancl(_u13752, _u13753)) = hAPP(hAPP(c_Relation_Orel__comp(_u13752, _u13752, _u13752), c_Transitive__Closure_Ortrancl(_u13752, _u13753)), _u13753)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13754, _u13754, _u13754), c_Transitive__Closure_Ortrancl(_u13754, _u13755)), c_Transitive__Closure_Ortrancl(_u13754, _u13755)) = c_Transitive__Closure_Ortrancl(_u13754, _u13755)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13756, _u13757) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13756, _u13756), tc_HOL_Obool)), c_Relation_OId(_u13756)), hAPP(hAPP(c_Relation_Orel__comp(_u13756, _u13756, _u13756), c_Transitive__Closure_Ortrancl(_u13756, _u13757)), _u13757))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13758, _u13758), tc_HOL_Obool)), _u13760), _u13761)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, _u13760))) )).
% 12.21/12.41 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13758, _u13758), tc_HOL_Obool)), _u13760), _u13761)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, _u13761))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13762, _u13762), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13762, _u13763)), c_Relation_OId(_u13762)) = c_Transitive__Closure_Ortrancl(_u13762, _u13763)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13764, _u13764), tc_HOL_Obool)), _u13765), c_Relation_OId(_u13764))) = c_Transitive__Closure_Ortrancl(_u13764, _u13765)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13766, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13766, _u13766), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13766, _u13767)), c_Transitive__Closure_Ortrancl(_u13766, _u13768))) = c_Transitive__Closure_Ortrancl(_u13766, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13766, _u13766), tc_HOL_Obool)), _u13767), _u13768))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13769, c_Transitive__Closure_Ortrancl(_u13769, _u13770)) = c_Transitive__Closure_Ortrancl(_u13769, _u13770)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13771, _u13771)), hAPP(hAPP(c_Product__Type_OPair(_u13771, _u13771), _u13772), _u13773)), c_Transitive__Closure_Ortrancl(_u13771, _u13774))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13771, _u13771)), hAPP(hAPP(c_Product__Type_OPair(_u13771, _u13771), _u13773), _u13775)), c_Transitive__Closure_Ortrancl(_u13771, _u13774))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13771, _u13771)), hAPP(hAPP(c_Product__Type_OPair(_u13771, _u13771), _u13772), _u13775)), c_Transitive__Closure_Ortrancl(_u13771, _u13774))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13776, _u13776)), hAPP(hAPP(c_Product__Type_OPair(_u13776, _u13776), _u13777), _u13778)), c_Transitive__Closure_Ortrancl(_u13776, _u13779))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13776, _u13776)), hAPP(hAPP(c_Product__Type_OPair(_u13776, _u13776), _u13778), _u13780)), _u13779)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13776, _u13776)), hAPP(hAPP(c_Product__Type_OPair(_u13776, _u13776), _u13777), _u13780)), c_Transitive__Closure_Ortrancl(_u13776, _u13779))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13781, _u13781)), hAPP(hAPP(c_Product__Type_OPair(_u13781, _u13781), _u13782), _u13783)), _u13784)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13781, _u13781)), hAPP(hAPP(c_Product__Type_OPair(_u13781, _u13781), _u13783), _u13785)), c_Transitive__Closure_Ortrancl(_u13781, _u13784))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13781, _u13781)), hAPP(hAPP(c_Product__Type_OPair(_u13781, _u13781), _u13782), _u13785)), c_Transitive__Closure_Ortrancl(_u13781, _u13784))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u13786, _u13786), c_Transitive__Closure_Ortrancl(_u13786, _u13787)) = c_Orderings_Otop__class_Otop(tc_fun(_u13786, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13788, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13788, _u13788), tc_HOL_Obool))) = c_Relation_OId(_u13788)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13789, _u13789), c_Transitive__Closure_Ortrancl(_u13789, _u13790)) = c_Orderings_Otop__class_Otop(tc_fun(_u13789, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13791, c_Transitive__Closure_Otrancl(_u13791, _u13792)) = c_Transitive__Closure_Ortrancl(_u13791, _u13792)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13793, c_Transitive__Closure_Ortrancl(_u13793, _u13794)) = c_Transitive__Closure_Ortrancl(_u13793, _u13794)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13795, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13795, _u13795), tc_HOL_Obool)), _u13796), c_Relation_OId(_u13795))) = c_Transitive__Closure_Ortrancl(_u13795, _u13796)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13797, _u13797), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13797, _u13798)), c_Relation_OId(_u13797)) = c_Transitive__Closure_Ortrancl(_u13797, _u13798)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13799, _u13800) = hAPP(hAPP(c_Relation_Orel__comp(_u13799, _u13799, _u13799), c_Transitive__Closure_Ortrancl(_u13799, _u13800)), _u13800)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13801, _u13802) = hAPP(hAPP(c_Relation_Orel__comp(_u13801, _u13801, _u13801), _u13802), c_Transitive__Closure_Ortrancl(_u13801, _u13802))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u13808 = _u13810) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13806, _u13806)), hAPP(hAPP(c_Product__Type_OPair(_u13806, _u13806), _u13808), _u13810)), c_Relation_OId(_u13806))) )).
% 12.21/12.41 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u13809 != _u13811) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13807, _u13807)), hAPP(hAPP(c_Product__Type_OPair(_u13807, _u13807), _u13809), _u13811)), c_Relation_OId(_u13807))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13813), _u13814)), c_Transitive__Closure_Ortrancl(_u13812, _u13815))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13814), _u13816)), c_Transitive__Closure_Otrancl(_u13812, _u13815))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13813), _u13816)), c_Transitive__Closure_Otrancl(_u13812, _u13815))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), _u13818), _u13819)), c_Transitive__Closure_Otrancl(_u13817, _u13820))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), _u13819), _u13821)), c_Transitive__Closure_Ortrancl(_u13817, _u13820))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), _u13818), _u13821)), c_Transitive__Closure_Otrancl(_u13817, _u13820))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13823), _u13824)), c_Transitive__Closure_Ortrancl(_u13822, _u13825))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13824), _u13826)), _u13825)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13823), _u13826)), c_Transitive__Closure_Otrancl(_u13822, _u13825))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13827, _u13827)), hAPP(hAPP(c_Product__Type_OPair(_u13827, _u13827), _u13828), _u13829)), c_Transitive__Closure_Ortrancl(_u13827, _u13830))) | ( _u13828 = _u13829) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13827, _u13827)), hAPP(hAPP(c_Product__Type_OPair(_u13827, _u13827), _u13828), _u13829)), c_Transitive__Closure_Otrancl(_u13827, _u13830))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13831, _u13831)), hAPP(hAPP(c_Product__Type_OPair(_u13831, _u13831), _u13832), _u13833)), _u13834)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13831, _u13831)), hAPP(hAPP(c_Product__Type_OPair(_u13831, _u13831), _u13833), _u13835)), c_Transitive__Closure_Ortrancl(_u13831, _u13834))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13831, _u13831)), hAPP(hAPP(c_Product__Type_OPair(_u13831, _u13831), _u13832), _u13835)), c_Transitive__Closure_Otrancl(_u13831, _u13834))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13840, _u13840)), hAPP(hAPP(c_Product__Type_OPair(_u13840, _u13840), _u13842), _u13844)), c_Transitive__Closure_Ortrancl(_u13840, _u13846))) | ( _u13842 = _u13844) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13840, _u13840)), hAPP(hAPP(c_Product__Type_OPair(_u13840, _u13840), _u13842), _u13844)), c_Transitive__Closure_Otrancl(_u13840, _u13846))) )).
% 12.21/12.41 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13841, _u13841)), hAPP(hAPP(c_Product__Type_OPair(_u13841, _u13841), _u13843), _u13845)), c_Transitive__Closure_Ortrancl(_u13841, _u13847))) | ( _u13843 != _u13845) )).
% 12.21/12.41 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13841, _u13841)), hAPP(hAPP(c_Product__Type_OPair(_u13841, _u13841), _u13843), _u13845)), c_Transitive__Closure_Ortrancl(_u13841, _u13847))) | ( _u13843 = _u13845) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13841, _u13841)), hAPP(hAPP(c_Product__Type_OPair(_u13841, _u13841), _u13843), _u13845)), c_Transitive__Closure_Otrancl(_u13841, _u13847))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13848, _u13848), c_Relation_OId(_u13848)) = c_Orderings_Otop__class_Otop(tc_fun(_u13848, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u13849, _u13849), c_Relation_OId(_u13849)) = c_Orderings_Otop__class_Otop(tc_fun(_u13849, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u13850, c_Orderings_Otop__class_Otop(tc_fun(_u13850, tc_HOL_Obool)), c_Relation_OId(_u13850)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_pair__leq__def-1, axiom, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13851), _u13852), hAPP(c_Relation_ODomain(_u13851, _u13851), _u13853))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13851, _u13851)), hAPP(hAPP(c_Product__Type_OPair(_u13851, _u13851), _u13852), _u13854)), c_Transitive__Closure_Ortrancl(_u13851, _u13853))) | ( _u13852 = _u13854) )).
% 12.21/12.41 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13851), _u13852), hAPP(c_Relation_ODomain(_u13851, _u13851), _u13853))) | ( _u13852 != _u13854) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13851, _u13851)), hAPP(hAPP(c_Product__Type_OPair(_u13851, _u13851), _u13852), _u13854)), c_Transitive__Closure_Ortrancl(_u13851, _u13853))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13855, _u13855)), hAPP(hAPP(c_Product__Type_OPair(_u13855, _u13855), _u13856), _u13857)), c_Transitive__Closure_Ortrancl(_u13855, _u13858))) | ~hBOOL(hAPP(hAPP(c_member(_u13855), _u13857), c_Wellfounded_Oacc(_u13855, _u13858))) | hBOOL(hAPP(hAPP(c_member(_u13855), _u13856), c_Wellfounded_Oacc(_u13855, _u13858))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13859), _u13860), c_Wellfounded_Oacc(_u13859, _u13861))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13859, _u13859)), hAPP(hAPP(c_Product__Type_OPair(_u13859, _u13859), _u13862), _u13860)), c_Transitive__Closure_Ortrancl(_u13859, _u13861))) | hBOOL(hAPP(hAPP(c_member(_u13859), _u13862), c_Wellfounded_Oacc(_u13859, _u13861))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u13867, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13869), _u13871)), _u13873)) | c_Wellfounded_Owf(_u13867, _u13873) )).
% 12.21/12.41 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u13867, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13869), _u13871)), _u13873)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13871), _u13869)), c_Transitive__Closure_Ortrancl(_u13867, _u13873))) )).
% 12.21/12.41 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u13868, _u13874) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13868, _u13868)), hAPP(hAPP(c_Product__Type_OPair(_u13868, _u13868), _u13872), _u13870)), c_Transitive__Closure_Ortrancl(_u13868, _u13874))) | c_Wellfounded_Owf(_u13868, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13868, _u13868)), hAPP(hAPP(c_Product__Type_OPair(_u13868, _u13868), _u13870), _u13872)), _u13874)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13879, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13879, _u13879)), hAPP(hAPP(c_Product__Type_OPair(_u13879, _u13879), _u13881), _u13883)), _u13885)) | c_Wellfounded_Oacyclic(_u13879, _u13885) )).
% 12.21/12.41 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u13879, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13879, _u13879)), hAPP(hAPP(c_Product__Type_OPair(_u13879, _u13879), _u13881), _u13883)), _u13885)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13879, _u13879)), hAPP(hAPP(c_Product__Type_OPair(_u13879, _u13879), _u13883), _u13881)), c_Transitive__Closure_Ortrancl(_u13879, _u13885))) )).
% 12.21/12.41 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u13880, _u13886) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), hAPP(hAPP(c_Product__Type_OPair(_u13880, _u13880), _u13884), _u13882)), c_Transitive__Closure_Ortrancl(_u13880, _u13886))) | c_Wellfounded_Oacyclic(_u13880, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13880, _u13880)), hAPP(hAPP(c_Product__Type_OPair(_u13880, _u13880), _u13882), _u13884)), _u13886)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u13887, c_Orderings_Otop__class_Otop(tc_fun(_u13887, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13887, _u13887), tc_HOL_Obool)), _u13888), c_Relation_OId(_u13887))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u13889) = hAPP(c_Set_OCollect(tc_prod(_u13889, _u13889)), hAPP(hAPP(c_COMBB(tc_fun(_u13889, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u13889, _u13889)), c_HOL_OEx(_u13889)), hAPP(hAPP(c_COMBC(tc_prod(_u13889, _u13889), tc_fun(_u13889, tc_prod(_u13889, _u13889)), tc_fun(_u13889, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13889, _u13889), tc_HOL_Obool), tc_fun(tc_fun(_u13889, tc_prod(_u13889, _u13889)), tc_fun(_u13889, tc_HOL_Obool)), tc_prod(_u13889, _u13889)), c_COMBB(tc_prod(_u13889, _u13889), tc_HOL_Obool, _u13889)), c_fequal)), hAPP(hAPP(c_COMBS(_u13889, _u13889, tc_prod(_u13889, _u13889)), c_Product__Type_OPair(_u13889, _u13889)), c_COMBI(_u13889)))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u13890, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13890, _u13890), tc_HOL_Obool)), _u13891), c_Relation_OId(_u13890))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_pred__nat__trancl__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u13894), _u13896)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13894), _u13896)) )).
% 12.21/12.41 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13895), _u13897)) | 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), _u13895), _u13897)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13898, _u13898)), hAPP(hAPP(c_Product__Type_OPair(_u13898, _u13898), _u13899), _u13900)), c_Transitive__Closure_Ortrancl(_u13898, _u13901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13898, _u13898), tc_HOL_Obool)), _u13901), hAPP(hAPP(c_Product__Type_OSigma(_u13898, _u13898), _u13902), hAPP(c_COMBK(tc_fun(_u13898, tc_HOL_Obool), _u13898), _u13902)))) | ( _u13899 = _u13900) | hBOOL(hAPP(hAPP(c_member(_u13898), _u13899), _u13902)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13903, _u13903), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u13903, _u13903), _u13904)), c_Transitive__Closure_Ortrancl(_u13903, _u13904)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13903, _u13903), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13903, _u13903)), hAPP(hAPP(c_Product__Type_OPair(_u13903, _u13903), _u13905), _u13905)), c_Transitive__Closure_Otrancl(_u13903, _u13904))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13907, _u13907)), hAPP(hAPP(c_Product__Type_OPair(_u13907, _u13907), hAPP(_u13908, hAPP(c_Nat_OSuc, skolem339(_u13911, _u13910, _u13909, _u13908, _u13907)))), hAPP(_u13908, skolem339(_u13911, _u13910, _u13909, _u13908, _u13907)))), c_Transitive__Closure_Ortrancl(_u13907, _u13909))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13907, _u13907)), hAPP(hAPP(c_Product__Type_OPair(_u13907, _u13907), hAPP(_u13908, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u13910), _u13911))), hAPP(_u13908, _u13910))), c_Transitive__Closure_Ortrancl(_u13907, _u13909))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u13915, _u13917, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13915, _u13915), tc_HOL_Obool)), _u13919), c_Relation_OId(_u13915))) | c_Relation_Ototal__on(_u13915, _u13917, _u13919) )).
% 12.21/12.41 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u13916, _u13918, _u13920) | c_Relation_Ototal__on(_u13916, _u13918, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13916, _u13916), tc_HOL_Obool)), _u13920), c_Relation_OId(_u13916))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13921, _u13921), c_Relation_OId(_u13921)) = c_Relation_OId(_u13921)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13922, hAPP(c_Relation_Oconverse(_u13922, _u13922), _u13923)) = hAPP(c_Relation_Oconverse(_u13922, _u13922), c_Transitive__Closure_Ortrancl(_u13922, _u13923))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13924, hAPP(c_Relation_Oconverse(_u13924, _u13924), _u13925)) = hAPP(c_Relation_Oconverse(_u13924, _u13924), c_Transitive__Closure_Otrancl(_u13924, _u13925))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13931, _u13933)), hAPP(hAPP(c_Product__Type_OPair(_u13931, _u13933), _u13935), _u13937)), hAPP(c_Relation_Oconverse(_u13933, _u13931), _u13939))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13933, _u13931)), hAPP(hAPP(c_Product__Type_OPair(_u13933, _u13931), _u13937), _u13935)), _u13939)) )).
% 12.21/12.41 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13932)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13932), _u13938), _u13936)), _u13940)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13932, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13932, _u13934), _u13936), _u13938)), hAPP(c_Relation_Oconverse(_u13934, _u13932), _u13940))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converseI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13941, _u13942)), hAPP(hAPP(c_Product__Type_OPair(_u13941, _u13942), _u13943), _u13944)), _u13945)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13942, _u13941)), hAPP(hAPP(c_Product__Type_OPair(_u13942, _u13941), _u13944), _u13943)), hAPP(c_Relation_Oconverse(_u13941, _u13942), _u13945))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converseD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13946, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13946, _u13947), _u13948), _u13949)), hAPP(c_Relation_Oconverse(_u13947, _u13946), _u13950))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13946)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13946), _u13949), _u13948)), _u13950)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u13954, _u13956, hAPP(c_Relation_Oconverse(_u13954, _u13954), _u13958)) | c_Relation_Orefl__on(_u13954, _u13956, _u13958) )).
% 12.21/12.41 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u13955, _u13957, _u13959) | c_Relation_Orefl__on(_u13955, _u13957, hAPP(c_Relation_Oconverse(_u13955, _u13955), _u13959)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13960, _u13961), hAPP(hAPP(c_Relation_Orel__comp(_u13960, _u13962, _u13961), _u13963), _u13964)) = hAPP(hAPP(c_Relation_Orel__comp(_u13961, _u13962, _u13960), hAPP(c_Relation_Oconverse(_u13962, _u13961), _u13964)), hAPP(c_Relation_Oconverse(_u13960, _u13962), _u13963))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13965, _u13966), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13965, _u13966), tc_HOL_Obool)), _u13967), _u13968)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13966, _u13965), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u13965, _u13966), _u13967)), hAPP(c_Relation_Oconverse(_u13965, _u13966), _u13968))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13972, _u13974)), hAPP(c_Relation_Oconverse(_u13974, _u13972), _u13976))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13974, _u13972)), _u13976)) )).
% 12.21/12.41 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13975, _u13973)), _u13977)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13973, _u13975)), hAPP(c_Relation_Oconverse(_u13975, _u13973), _u13977))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u13981, _u13983, hAPP(c_Relation_Oconverse(_u13981, _u13981), _u13985)) | c_Relation_Ototal__on(_u13981, _u13983, _u13985) )).
% 12.21/12.41 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u13982, _u13984, _u13986) | c_Relation_Ototal__on(_u13982, _u13984, hAPP(c_Relation_Oconverse(_u13982, _u13982), _u13986)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13987, _u13988), hAPP(c_Relation_Oconverse(_u13988, _u13987), _u13989)) = _u13989) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u13990), hAPP(c_Relation_Oconverse(_u13990, _u13990), _u13991)) = hAPP(c_Relation_OField(_u13990), _u13991)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13992, _u13992), c_Relation_OId__on(_u13992, _u13993)) = c_Relation_OId__on(_u13992, _u13993)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13994, _u13995), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13994, _u13995), tc_HOL_Obool)), _u13996), _u13997)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13995, _u13994), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u13994, _u13995), _u13996)), hAPP(c_Relation_Oconverse(_u13994, _u13995), _u13997))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u13998, _u13998), hAPP(hAPP(c_Relation_Oinv__image(_u13999, _u13998), _u14000), _u14001)) = hAPP(hAPP(c_Relation_Oinv__image(_u13999, _u13998), hAPP(c_Relation_Oconverse(_u13999, _u13999), _u14000)), _u14001)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14002, _u14003), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14004, tc_fun(tc_prod(_u14002, _u14003), tc_HOL_Obool)), _u14005), _u14006)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14004, tc_fun(tc_prod(_u14003, _u14002), tc_HOL_Obool)), _u14005), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14002, _u14003), tc_HOL_Obool), tc_fun(tc_prod(_u14003, _u14002), tc_HOL_Obool), _u14004), c_Relation_Oconverse(_u14002, _u14003)), _u14006))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14009, hAPP(c_Relation_Oconverse(_u14009, _u14009), _u14011)) | c_Wellfounded_Oacyclic(_u14009, _u14011) )).
% 12.21/12.41 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14010, _u14012) | c_Wellfounded_Oacyclic(_u14010, hAPP(c_Relation_Oconverse(_u14010, _u14010), _u14012)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14013, hAPP(c_Relation_Oconverse(_u14013, _u14013), _u14014)) | c_Wellfounded_Owf(_u14013, hAPP(c_Relation_Oconverse(_u14013, _u14013), c_Transitive__Closure_Otrancl(_u14013, _u14014))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14015, _u14016, _u14017) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14015, _u14015, _u14015), hAPP(c_Relation_Oconverse(_u14015, _u14015), _u14017)), _u14017) = _u14017) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14018, _u14019), hAPP(c_Relation_Oconverse(_u14019, _u14018), _u14020)) = hAPP(c_Relation_ODomain(_u14019, _u14018), _u14020)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14021, _u14022), hAPP(c_Relation_Oconverse(_u14022, _u14021), _u14023)) = hAPP(c_Relation_ORange(_u14022, _u14021), _u14023)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14024, _u14025), _u14026) = hAPP(c_Relation_ODomain(_u14025, _u14024), hAPP(c_Relation_Oconverse(_u14024, _u14025), _u14026))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14027, c_Orderings_Obot__class_Obot(tc_fun(_u14027, tc_HOL_Obool)), _u14028) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14029, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14029, _u14029), _u14030), _u14031)), c_Transitive__Closure_Ortrancl(_u14029, _u14032))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14029, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14029, _u14029), _u14031), _u14030)), c_Transitive__Closure_Ortrancl(_u14029, hAPP(c_Relation_Oconverse(_u14029, _u14029), _u14032)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14033, _u14033)), hAPP(hAPP(c_Product__Type_OPair(_u14033, _u14033), _u14034), _u14035)), c_Transitive__Closure_Ortrancl(_u14033, hAPP(c_Relation_Oconverse(_u14033, _u14033), _u14036)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14033, _u14033)), hAPP(hAPP(c_Product__Type_OPair(_u14033, _u14033), _u14035), _u14034)), c_Transitive__Closure_Ortrancl(_u14033, _u14036))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14037, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14037, _u14037), _u14038), _u14039)), c_Transitive__Closure_Otrancl(_u14037, hAPP(c_Relation_Oconverse(_u14037, _u14037), _u14040)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14037, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14037, _u14037), _u14038), _u14039)), hAPP(c_Relation_Oconverse(_u14037, _u14037), c_Transitive__Closure_Otrancl(_u14037, _u14040)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14041, _u14041)), hAPP(hAPP(c_Product__Type_OPair(_u14041, _u14041), _u14042), _u14043)), hAPP(c_Relation_Oconverse(_u14041, _u14041), c_Transitive__Closure_Otrancl(_u14041, _u14044)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14041, _u14041)), hAPP(hAPP(c_Product__Type_OPair(_u14041, _u14041), _u14042), _u14043)), c_Transitive__Closure_Otrancl(_u14041, hAPP(c_Relation_Oconverse(_u14041, _u14041), _u14044)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14050, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14052, _u14050, _u14054), _u14056)), _u14058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14052, tc_HOL_Obool)), _u14056), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14052, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14050, _u14052, hAPP(c_Relation_Oconverse(_u14052, _u14050), _u14054)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14050, tc_HOL_Obool)), _u14058))))) )).
% 12.21/12.41 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14053, tc_HOL_Obool)), _u14057), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14053, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14051, _u14053, hAPP(c_Relation_Oconverse(_u14053, _u14051), _u14055)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14051, tc_HOL_Obool)), _u14059))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14053, _u14051, _u14055), _u14057)), _u14059)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14060, _u14061, _u14062) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14060, _u14060), tc_HOL_Obool)), _u14062), hAPP(hAPP(c_Relation_Orel__comp(_u14060, _u14060, _u14060), hAPP(c_Relation_Oconverse(_u14060, _u14060), _u14062)), _u14062))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14063, _u14063, _u14063), hAPP(c_Relation_Oconverse(_u14063, _u14063), _u14064)), _u14064) != _u14064) | ( hAPP(c_Relation_ODomain(_u14063, _u14063), _u14064) != _u14065) | c_Equiv__Relations_Oequiv(_u14063, _u14065, _u14064) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14066, _u14066)), _u14067)) | ~c_Wellfounded_Oacyclic(_u14066, _u14067) | c_Wellfounded_Owf(_u14066, hAPP(c_Relation_Oconverse(_u14066, _u14066), _u14067)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14075, _u14077, _u14079) | ~hBOOL(hAPP(hAPP(c_member(_u14075), _u14069), _u14077)) | ~hBOOL(hAPP(hAPP(c_member(_u14075), _u14068), _u14077)) | ( _u14069 = _u14068) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14075, _u14075)), hAPP(hAPP(c_Product__Type_OPair(_u14075, _u14075), _u14069), _u14068)), _u14079)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14075, _u14075)), hAPP(hAPP(c_Product__Type_OPair(_u14075, _u14075), _u14068), _u14069)), _u14079)) )).
% 12.21/12.41 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | hBOOL(hAPP(hAPP(c_member(_u14076), skolem340(_u14080, _u14078, _u14076)), _u14078)) )).
% 12.21/12.41 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | hBOOL(hAPP(hAPP(c_member(_u14076), skolem341(_u14080, _u14078, _u14076)), _u14078)) )).
% 12.21/12.41 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | ( skolem340(_u14080, _u14078, _u14076) != skolem341(_u14080, _u14078, _u14076)) )).
% 12.21/12.41 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14076, _u14076)), hAPP(hAPP(c_Product__Type_OPair(_u14076, _u14076), skolem340(_u14080, _u14078, _u14076)), skolem341(_u14080, _u14078, _u14076))), _u14080)) )).
% 12.21/12.41 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14076, _u14076)), hAPP(hAPP(c_Product__Type_OPair(_u14076, _u14076), skolem341(_u14080, _u14078, _u14076)), skolem340(_u14080, _u14078, _u14076))), _u14080)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14081, _u14082), _u14083) = hAPP(c_Set_OCollect(tc_prod(_u14082, _u14081)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14082, _u14081, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14082, tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_fun(_u14081, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14081, tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_fun(_u14081, tc_HOL_Obool)), _u14082), c_COMBC(_u14081, tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14081, tc_prod(_u14081, _u14082)), tc_fun(_u14081, tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool)), _u14082), hAPP(c_COMBB(tc_prod(_u14081, _u14082), tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool), _u14081), c_member(tc_prod(_u14081, _u14082)))), hAPP(c_COMBC(_u14081, _u14082, tc_prod(_u14081, _u14082)), c_Product__Type_OPair(_u14081, _u14082))))), _u14083)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14084, _u14084)), _u14085), c_Transitive__Closure_Ortrancl(_u14084, _u14086))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14084, _u14084)), _u14085), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14084, _u14084), 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(_u14084, _u14084), tc_HOL_Obool), tc_fun(tc_prod(_u14084, _u14084), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14084, _u14084), tc_HOL_Obool)), _u14086)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14088, _u14088)), hAPP(hAPP(c_Product__Type_OPair(_u14088, _u14088), skolem342(_u14089, _u14088)), skolem342(_u14089, _u14088))), c_Transitive__Closure_Otrancl(_u14088, _u14089))) | c_Wellfounded_Oacyclic(_u14088, _u14089) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14090, _u14091, hAPP(c_Relation_Oconverse(_u14091, _u14090), _u14092)) | ( hAPP(c_Relation_OImage(_u14091, _u14090, _u14092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14091, tc_HOL_Obool)), _u14093), _u14094)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14090, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14091, _u14090, _u14092), _u14093)), hAPP(c_Relation_OImage(_u14091, _u14090, _u14092), _u14094))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14095, _u14096), tc_HOL_Obool)), _u14097), _u14098)) | ~c_Relation_Osingle__valued(_u14095, _u14096, _u14098) | c_Relation_Osingle__valued(_u14095, _u14096, _u14097) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14099, _u14100, _u14101) | ~c_Relation_Osingle__valued(_u14100, _u14102, _u14103) | c_Relation_Osingle__valued(_u14099, _u14102, hAPP(hAPP(c_Relation_Orel__comp(_u14099, _u14100, _u14102), _u14101), _u14103)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14104, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14104, _u14104), tc_HOL_Obool), _u14105), _u14106)) | c_Wellfounded_Owf(_u14104, _u14106) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14107, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14108, _u14108), _u14109), _u14107), _u14110)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14108, _u14108), _u14109), _u14107), hAPP(_u14107, _u14110))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14111, _u14111), _u14112), hAPP(hAPP(c_Nat_Ocompow(_u14111, _u14111), _u14113), _u14114)) = hAPP(hAPP(c_Nat_Ocompow(_u14111, _u14111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14113), _u14112)), _u14114)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14115, _u14116), tc_fun(_u14115, _u14116)), _u14117), c_Fun_Ocomp(_u14116, _u14116, _u14115, _u14118)) = c_Fun_Ocomp(_u14116, _u14116, _u14115, hAPP(hAPP(c_Nat_Ocompow(_u14116, _u14116), _u14117), _u14118))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14119, _u14119, _u14119), _u14120), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14119, _u14119), tc_HOL_Obool), _u14121), _u14120)) = hAPP(hAPP(c_Relation_Orel__comp(_u14119, _u14119, _u14119), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14119, _u14119), tc_HOL_Obool), _u14121), _u14120)), _u14120)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14122, _u14122), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14123) = _u14123) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14124, _u14124, _u14125) | c_Relation_Osingle__valued(_u14124, _u14124, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14124, _u14124), tc_HOL_Obool), _u14126), _u14125)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14127, _u14127, c_Relation_OId(_u14127)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), _u14129), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14128, _u14128), tc_HOL_Obool), _u14130), _u14131))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), _u14129), c_Transitive__Closure_Ortrancl(_u14128, _u14131))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14139), c_Transitive__Closure_Ortrancl(_u14137, _u14141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14139), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14137, _u14137), tc_HOL_Obool), skolem343(_u14141, _u14139, _u14137)), _u14141))) )).
% 12.21/12.41 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14138, _u14138)), _u14140), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14138, _u14138), tc_HOL_Obool), _u14133), _u14142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14138, _u14138)), _u14140), c_Transitive__Closure_Ortrancl(_u14138, _u14142))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14143, _u14143, c_Relation_OId__on(_u14143, _u14144)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14145, _u14145), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14146)), _u14147) = hAPP(hAPP(c_Relation_Orel__comp(_u14145, _u14145, _u14145), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14145, _u14145), tc_HOL_Obool), _u14146), _u14147)), _u14147)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14148, _u14148), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14149), _u14150)), _u14151) = hAPP(hAPP(c_Relation_Orel__comp(_u14148, _u14148, _u14148), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14148, _u14148), tc_HOL_Obool), _u14149), _u14151)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14148, _u14148), tc_HOL_Obool), _u14150), _u14151))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14152, _u14152), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14153) = c_Relation_OId(_u14152)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14154, _u14154)), hAPP(hAPP(c_Product__Type_OPair(_u14154, _u14154), _u14155), _u14155)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14154, _u14154), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14156))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14158 = _u14159) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14157, _u14157)), hAPP(hAPP(c_Product__Type_OPair(_u14157, _u14157), _u14158), _u14159)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14157, _u14157), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14160))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14163)), _u14164)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14163), _u14165)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14161, _u14161), tc_HOL_Obool), _u14166), _u14164))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14165)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14161, _u14161), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14166)), _u14164))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14167, _u14167)), hAPP(hAPP(c_Product__Type_OPair(_u14167, _u14167), _u14168), _u14169)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14167, _u14167), tc_HOL_Obool), _u14170), _u14171))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14167, _u14167)), hAPP(hAPP(c_Product__Type_OPair(_u14167, _u14167), _u14169), _u14172)), _u14171)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14167, _u14167)), hAPP(hAPP(c_Product__Type_OPair(_u14167, _u14167), _u14168), _u14172)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14167, _u14167), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14170)), _u14171))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14173, _u14173), hAPP(c_Nat_OSuc, _u14174)), _u14175) = hAPP(c_Fun_Ocomp(_u14173, _u14173, _u14173, _u14175), hAPP(hAPP(c_Nat_Ocompow(_u14173, _u14173), _u14174), _u14175))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14176, _u14176), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14177), _u14178)), _u14179) = hAPP(c_Fun_Ocomp(_u14176, _u14176, _u14176, hAPP(hAPP(c_Nat_Ocompow(_u14176, _u14176), _u14177), _u14179)), hAPP(hAPP(c_Nat_Ocompow(_u14176, _u14176), _u14178), _u14179))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14189, _u14191, _u14193) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14191)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14191), _u14182), _u14181)), _u14193)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14191)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14191), _u14182), _u14180)), _u14193)) | ( _u14181 = _u14180) )).
% 12.21/12.41 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14190, _u14192, _u14194) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14190, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14192), skolem344(_u14194, _u14192, _u14190)), skolem345(_u14194, _u14192, _u14190))), _u14194)) )).
% 12.21/12.41 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14190, _u14192, _u14194) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14190, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14192), skolem344(_u14194, _u14192, _u14190)), skolem346(_u14194, _u14192, _u14190))), _u14194)) )).
% 12.21/12.41 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14190, _u14192, _u14194) | ( skolem345(_u14194, _u14192, _u14190) != skolem346(_u14194, _u14192, _u14190)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14195, _u14196, _u14197) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14195, _u14196)), hAPP(hAPP(c_Product__Type_OPair(_u14195, _u14196), _u14198), _u14199)), _u14197)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14195, _u14196)), hAPP(hAPP(c_Product__Type_OPair(_u14195, _u14196), _u14198), _u14200)), _u14197)) | ( _u14199 = _u14200) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14201, _u14201), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14202) = c_Fun_Oid(_u14201)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14208, _u14208)), _u14210), c_Transitive__Closure_Otrancl(_u14208, _u14212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem347(_u14212, _u14210, _u14208))) )).
% 12.21/12.41 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14208, _u14208)), _u14210), c_Transitive__Closure_Otrancl(_u14208, _u14212))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14208, _u14208)), _u14210), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14208, _u14208), tc_HOL_Obool), skolem347(_u14212, _u14210, _u14208)), _u14212))) )).
% 12.21/12.41 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)), _u14204)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14209, _u14209)), _u14211), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14209, _u14209), tc_HOL_Obool), _u14204), _u14213))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14209, _u14209)), _u14211), c_Transitive__Closure_Otrancl(_u14209, _u14213))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14214, _u14215) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14214, _u14214), 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(_u14214, _u14214), tc_HOL_Obool), tc_fun(tc_prod(_u14214, _u14214), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14214, _u14214), tc_HOL_Obool)), _u14215))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14216, _u14216, _u14217) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14218), _u14219)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14218), _u14220)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14219), _u14220)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14220), _u14219)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14221) = c_Nat_Ocompow(_u14221, _u14221)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14227 = hAPP(c_Nat_OSuc, skolem349(_u14228, _u14227, _u14226, _u14225, _u14224))) )).
% 12.21/12.41 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), skolem349(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14228))) )).
% 12.21/12.41 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14226)), _u14228)) )).
% 12.21/12.41 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14225 = _u14226) | ( _u14227 = hAPP(c_Nat_OSuc, skolem349(_u14228, _u14227, _u14226, _u14225, _u14224))) )).
% 12.21/12.41 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14225 = _u14226) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), skolem349(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14228))) )).
% 12.21/12.41 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14225 = _u14226) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14226)), _u14228)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14234 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14234 = hAPP(c_Nat_OSuc, skolem351(_u14235, _u14234, _u14233, _u14232, _u14231))) )).
% 12.21/12.41 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14234 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231))), _u14235)) )).
% 12.21/12.41 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14234 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), skolem351(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14235))) )).
% 12.21/12.41 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14232 = _u14233) | ( _u14234 = hAPP(c_Nat_OSuc, skolem351(_u14235, _u14234, _u14233, _u14232, _u14231))) )).
% 12.21/12.41 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14232 = _u14233) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231))), _u14235)) )).
% 12.21/12.41 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14232 = _u14233) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), skolem351(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14235))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14241), _u14242)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), skolem352(_u14242, _u14241, _u14240, _u14239, _u14238)), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) )).
% 12.21/12.41 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14241), _u14242)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), skolem353(_u14242, _u14241, _u14240, _u14239, _u14238)), skolem352(_u14242, _u14241, _u14240, _u14239, _u14238))), _u14242)) )).
% 12.21/12.41 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14241), _u14242)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | ( skolem353(_u14242, _u14241, _u14240, _u14239, _u14238) != skolem352(_u14242, _u14241, _u14240, _u14239, _u14238)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14245, _u14245), tc_HOL_Obool)), _u14248), _u14249)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), skolem354(_u14249, _u14248, _u14247, _u14246, _u14245))), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) )).
% 12.21/12.41 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14245, _u14245), tc_HOL_Obool)), _u14248), _u14249)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), skolem354(_u14249, _u14248, _u14247, _u14246, _u14245)), skolem355(_u14249, _u14248, _u14247, _u14246, _u14245))), _u14249)) )).
% 12.21/12.41 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14245, _u14245), tc_HOL_Obool)), _u14248), _u14249)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) | ( skolem354(_u14249, _u14248, _u14247, _u14246, _u14245) != skolem355(_u14249, _u14248, _u14247, _u14246, _u14245)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), _u14252), _u14253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14254)), _u14255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), _u14252), skolem356(_u14255, _u14254, _u14253, _u14252, _u14251))), _u14255)) )).
% 12.21/12.41 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), _u14252), _u14253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14254)), _u14255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), skolem356(_u14255, _u14254, _u14253, _u14252, _u14251)), _u14253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), _u14254), _u14255))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), _u14258), _u14259)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14257, _u14257), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14260)), _u14261))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), _u14258), skolem357(_u14261, _u14260, _u14259, _u14258, _u14257))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14257, _u14257), tc_HOL_Obool), _u14260), _u14261))) )).
% 12.21/12.41 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), _u14258), _u14259)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14257, _u14257), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14260)), _u14261))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), skolem357(_u14261, _u14260, _u14259, _u14258, _u14257)), _u14259)), _u14261)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14263, _u14263), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14266)), _u14267))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), skolem358(_u14267, _u14266, _u14265, _u14264, _u14263))), _u14267)) )).
% 12.21/12.41 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14263, _u14263), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14266)), _u14267))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), skolem358(_u14267, _u14266, _u14265, _u14264, _u14263)), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14263, _u14263), tc_HOL_Obool), _u14266), _u14267))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14270), _u14271)), c_Transitive__Closure_Otrancl(_u14269, _u14272))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14270), skolem359(_u14272, _u14271, _u14270, _u14269))), _u14272)) )).
% 12.21/12.41 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14270), _u14271)), c_Transitive__Closure_Otrancl(_u14269, _u14272))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), skolem359(_u14272, _u14271, _u14270, _u14269)), _u14271)), c_Transitive__Closure_Ortrancl(_u14269, _u14272))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), _u14275), _u14276)), c_Transitive__Closure_Otrancl(_u14274, _u14277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), _u14275), skolem360(_u14277, _u14276, _u14275, _u14274))), c_Transitive__Closure_Ortrancl(_u14274, _u14277))) )).
% 12.21/12.41 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), _u14275), _u14276)), c_Transitive__Closure_Otrancl(_u14274, _u14277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), skolem360(_u14277, _u14276, _u14275, _u14274)), _u14276)), _u14277)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_IdE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), _u14280), c_Relation_OId(_u14279))) | ( _u14280 = hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), skolem361(_u14280, _u14279)), skolem361(_u14280, _u14279))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem362(_u14286, _u14285, _u14284, _u14283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem363(_u14286, _u14285, _u14284, _u14283))) )).
% 12.21/12.41 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem362(_u14286, _u14285, _u14284, _u14283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem363(_u14286, _u14285, _u14284, _u14283)), _u14284)) )).
% 12.21/12.41 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem362(_u14286, _u14285, _u14284, _u14283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | ( hAPP(_u14285, skolem363(_u14286, _u14285, _u14284, _u14283)) = _u14286) )).
% 12.21/12.41 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem363(_u14286, _u14285, _u14284, _u14283))) )).
% 12.21/12.41 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem363(_u14286, _u14285, _u14284, _u14283)), _u14284)) )).
% 12.21/12.41 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | ( hAPP(_u14285, skolem363(_u14286, _u14285, _u14284, _u14283)) = _u14286) )).
% 12.21/12.41 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(_u14285, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14285, skolem362(_u14286, _u14285, _u14284, _u14283))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem363(_u14286, _u14285, _u14284, _u14283))) )).
% 12.21/12.41 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(_u14285, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14285, skolem362(_u14286, _u14285, _u14284, _u14283))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem363(_u14286, _u14285, _u14284, _u14283)), _u14284)) )).
% 12.21/12.41 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(_u14285, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14285, skolem362(_u14286, _u14285, _u14284, _u14283))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | ( hAPP(_u14285, skolem363(_u14286, _u14285, _u14284, _u14283)) = _u14286) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14287) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14287), _u14288)) | hBOOL(hAPP(hAPP(c_member(_u14287), _u14289), _u14288)) | ( c_Big__Operators_Olattice_OSup__fin(_u14287, c_Orderings_Oord__class_Omax(_u14287), hAPP(hAPP(c_Set_Oinsert(_u14287), _u14289), _u14288)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14287, _u14287, c_Orderings_Oord__class_Omax(_u14287)), _u14289), _u14288)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14290), _u14291)) | hBOOL(hAPP(hAPP(c_member(_u14290), _u14292), _u14291)) | ( c_Big__Operators_Olattice_OInf__fin(_u14290, c_Orderings_Oord__class_Omin(_u14290), hAPP(hAPP(c_Set_Oinsert(_u14290), _u14292), _u14291)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14290, _u14290, c_Orderings_Oord__class_Omin(_u14290)), _u14292), _u14291)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14293, _u14294, _u14295), _u14296), c_Orderings_Obot__class_Obot(tc_fun(_u14293, tc_HOL_Obool))) = _u14296) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u14297, _u14298, _u14299), _u14300) = c_Finite__Set_Ofold(_u14298, _u14297, hAPP(hAPP(c_COMBB(_u14297, tc_fun(_u14297, _u14297), _u14298), _u14299), _u14300))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u14301, _u14302, _u14303, _u14304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14301), _u14305)) | ( hAPP(hAPP(_u14304, _u14305), _u14306) = hAPP(hAPP(c_Finite__Set_Ofold(_u14301, _u14302, _u14303), _u14306), _u14305)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14307, _u14308, _u14309), _u14310), _u14311) = c_HOL_OThe(_u14308, c_Finite__Set_Ofold__graph(_u14307, _u14308, _u14309, _u14310, _u14311))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14312), _u14313)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14312, tc_HOL_Obool)), _u14313), _u14314) = hAPP(hAPP(c_Finite__Set_Ofold(_u14312, tc_fun(_u14312, tc_HOL_Obool), c_Set_Oinsert(_u14312)), _u14314), _u14313)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14315), _u14316)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14315, _u14315, c_Lattices_Osemilattice__sup__class_Osup(_u14315)), _u14317), hAPP(hAPP(c_Set_Oinsert(_u14315), _u14318), _u14316)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14315), _u14318), hAPP(hAPP(c_Finite__Set_Ofold(_u14315, _u14315, c_Lattices_Osemilattice__sup__class_Osup(_u14315)), _u14317), _u14316))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14319) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14319), _u14320)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14319, _u14319, c_Lattices_Osemilattice__inf__class_Oinf(_u14319)), _u14321), hAPP(hAPP(c_Set_Oinsert(_u14319), _u14322), _u14320)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14319), _u14322), hAPP(hAPP(c_Finite__Set_Ofold(_u14319, _u14319, c_Lattices_Osemilattice__inf__class_Oinf(_u14319)), _u14321), _u14320))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u14323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14323), _u14324)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14323, _u14323, c_Orderings_Oord__class_Omin(_u14323)), _u14325), hAPP(hAPP(c_Set_Oinsert(_u14323), _u14326), _u14324)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14323), _u14326), hAPP(hAPP(c_Finite__Set_Ofold(_u14323, _u14323, c_Orderings_Oord__class_Omin(_u14323)), _u14325), _u14324))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u14327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14328)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14327, _u14327, c_Orderings_Oord__class_Omax(_u14327)), _u14329), hAPP(hAPP(c_Set_Oinsert(_u14327), _u14330), _u14328)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14327), _u14330), hAPP(hAPP(c_Finite__Set_Ofold(_u14327, _u14327, c_Orderings_Oord__class_Omax(_u14327)), _u14329), _u14328))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14331, _u14332, _u14333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14331), _u14334)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14331, _u14332, _u14333), _u14335), hAPP(hAPP(c_Set_Oinsert(_u14331), _u14336), _u14334)) = hAPP(hAPP(_u14333, _u14336), hAPP(hAPP(c_Finite__Set_Ofold(_u14331, _u14332, _u14333), _u14335), _u14334))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14337, _u14338, _u14339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14337), _u14340)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14337, _u14338, _u14339), _u14341), hAPP(hAPP(c_Set_Oinsert(_u14337), _u14342), _u14340)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14337, _u14338, _u14339), hAPP(hAPP(_u14339, _u14342), _u14341)), _u14340)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14344), _u14345)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14343), _u14346), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14344, _u14343), _u14345), _u14347)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14344, _u14343, hAPP(hAPP(c_COMBB(_u14343, tc_fun(_u14343, _u14343), _u14344), c_Lattices_Osemilattice__sup__class_Osup(_u14343)), _u14347)), _u14346), _u14345)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u14348, _u14349, _u14350) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14348), _u14351)) | ( hAPP(_u14350, hAPP(hAPP(c_Set_Oinsert(_u14348), _u14352), _u14351)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14348, _u14348, _u14349), _u14352), _u14351)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14353) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14353), _u14354)) | ~hBOOL(hAPP(hAPP(c_member(_u14353), _u14355), _u14354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14353), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14353), _u14355), _u14356)), hAPP(hAPP(c_Finite__Set_Ofold(_u14353, _u14353, c_Lattices_Osemilattice__sup__class_Osup(_u14353)), _u14356), _u14354))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14357) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14357), _u14358)) | ~hBOOL(hAPP(hAPP(c_member(_u14357), _u14359), _u14358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14357), hAPP(hAPP(c_Finite__Set_Ofold(_u14357, _u14357, c_Lattices_Osemilattice__inf__class_Oinf(_u14357)), _u14360), _u14358)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14357), _u14359), _u14360))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u14361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14361), _u14362)) | ~hBOOL(hAPP(hAPP(c_member(_u14361), _u14363), _u14362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14361), hAPP(hAPP(c_Finite__Set_Ofold(_u14361, _u14361, c_Orderings_Oord__class_Omin(_u14361)), _u14364), _u14362)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14361), _u14363), _u14364))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u14365) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14365), _u14366)) | ~hBOOL(hAPP(hAPP(c_member(_u14365), _u14367), _u14366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14365), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14365), _u14367), _u14368)), hAPP(hAPP(c_Finite__Set_Ofold(_u14365, _u14365, c_Orderings_Oord__class_Omax(_u14365)), _u14368), _u14366))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14369), _u14370)) | ( hAPP(c_Finite__Set_Ofold1(_u14369, c_Groups_Otimes__class_Otimes(_u14369)), hAPP(hAPP(c_Set_Oinsert(_u14369), _u14371), _u14370)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14369, _u14369, c_Groups_Otimes__class_Otimes(_u14369)), _u14371), _u14370)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u14372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14372), _u14373)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14372, hAPP(hAPP(c_Set_Oinsert(_u14372), _u14374), _u14373)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14372, _u14372, c_Lattices_Osemilattice__sup__class_Osup(_u14372)), _u14374), _u14373)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u14375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14375), _u14376)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14375, hAPP(hAPP(c_Set_Oinsert(_u14375), _u14377), _u14376)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14375, _u14375, c_Lattices_Osemilattice__inf__class_Oinf(_u14375)), _u14377), _u14376)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14378), _u14379)) | ( c_Big__Operators_Olinorder__class_OMin(_u14378, hAPP(hAPP(c_Set_Oinsert(_u14378), _u14380), _u14379)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14378, _u14378, c_Orderings_Oord__class_Omin(_u14378)), _u14380), _u14379)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14381), _u14382)) | ( c_Big__Operators_Olinorder__class_OMax(_u14381, hAPP(hAPP(c_Set_Oinsert(_u14381), _u14383), _u14382)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14381, _u14381, c_Orderings_Oord__class_Omax(_u14381)), _u14383), _u14382)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14384), _u14385)) | ( c_Big__Operators_Olattice_OInf__fin(_u14384, c_Orderings_Oord__class_Omin(_u14384), hAPP(hAPP(c_Set_Oinsert(_u14384), _u14386), _u14385)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14384, _u14384, c_Orderings_Oord__class_Omin(_u14384)), _u14386), _u14385)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14387), _u14388)) | ( c_Big__Operators_Olattice_OSup__fin(_u14387, c_Orderings_Oord__class_Omax(_u14387), hAPP(hAPP(c_Set_Oinsert(_u14387), _u14389), _u14388)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14387, _u14387, c_Orderings_Oord__class_Omax(_u14387)), _u14389), _u14388)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14390, tc_HOL_Obool)), _u14392), _u14391) = hAPP(hAPP(c_Finite__Set_Ofold(_u14390, tc_fun(_u14390, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14390, tc_HOL_Obool), tc_fun(tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool)), _u14390), hAPP(c_COMBC(tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14390, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14390, tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool)), c_Set_Oinsert(_u14390)), c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))))), _u14392), _u14391)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u14393, _u14394, _u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14393), _u14396)) | hBOOL(hAPP(hAPP(c_member(_u14393), _u14397), _u14396)) | ( hAPP(_u14395, hAPP(hAPP(c_Set_Oinsert(_u14393), _u14397), _u14396)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14393, _u14393, _u14394), _u14397), _u14396)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14399), _u14400)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14399, _u14398), _u14400), _u14401) = hAPP(hAPP(c_Finite__Set_Ofold(_u14399, _u14398, hAPP(hAPP(c_COMBB(_u14398, tc_fun(_u14398, _u14398), _u14399), c_Lattices_Osemilattice__sup__class_Osup(_u14398)), _u14401)), c_Orderings_Obot__class_Obot(_u14398)), _u14400)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14402) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14402), _u14403)) | hBOOL(hAPP(hAPP(c_member(_u14402), _u14404), _u14403)) | ( hAPP(c_Finite__Set_Ofold1(_u14402, c_Groups_Otimes__class_Otimes(_u14402)), hAPP(hAPP(c_Set_Oinsert(_u14402), _u14404), _u14403)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14402, _u14402, c_Groups_Otimes__class_Otimes(_u14402)), _u14404), _u14403)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u14405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14405), _u14406)) | hBOOL(hAPP(hAPP(c_member(_u14405), _u14407), _u14406)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14405, hAPP(hAPP(c_Set_Oinsert(_u14405), _u14407), _u14406)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14405, _u14405, c_Lattices_Osemilattice__sup__class_Osup(_u14405)), _u14407), _u14406)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | hBOOL(hAPP(hAPP(c_member(_u14408), _u14410), _u14409)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14408, hAPP(hAPP(c_Set_Oinsert(_u14408), _u14410), _u14409)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14408, _u14408, c_Lattices_Osemilattice__inf__class_Oinf(_u14408)), _u14410), _u14409)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14411), _u14412)) | hBOOL(hAPP(hAPP(c_member(_u14411), _u14413), _u14412)) | ( c_Big__Operators_Olinorder__class_OMin(_u14411, hAPP(hAPP(c_Set_Oinsert(_u14411), _u14413), _u14412)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14411, _u14411, c_Orderings_Oord__class_Omin(_u14411)), _u14413), _u14412)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), _u14415)) | hBOOL(hAPP(hAPP(c_member(_u14414), _u14416), _u14415)) | ( c_Big__Operators_Olinorder__class_OMax(_u14414, hAPP(hAPP(c_Set_Oinsert(_u14414), _u14416), _u14415)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14414, _u14414, c_Orderings_Oord__class_Omax(_u14414)), _u14416), _u14415)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14417, _u14418, _u14419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14417), _u14420)) | ~hBOOL(hAPP(hAPP(c_member(_u14417), _u14421), _u14420)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14417, _u14418, _u14419), _u14422), _u14420) = hAPP(hAPP(_u14419, _u14421), hAPP(hAPP(c_Finite__Set_Ofold(_u14417, _u14418, _u14419), _u14422), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14417, tc_HOL_Obool)), _u14420), hAPP(hAPP(c_Set_Oinsert(_u14417), _u14421), c_Orderings_Obot__class_Obot(tc_fun(_u14417, tc_HOL_Obool))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14423, _u14424, _u14425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14423), _u14426)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14423, _u14424, _u14425), _u14427), hAPP(hAPP(c_Set_Oinsert(_u14423), _u14428), _u14426)) = hAPP(hAPP(_u14425, _u14428), hAPP(hAPP(c_Finite__Set_Ofold(_u14423, _u14424, _u14425), _u14427), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14423, tc_HOL_Obool)), _u14426), hAPP(hAPP(c_Set_Oinsert(_u14423), _u14428), c_Orderings_Obot__class_Obot(tc_fun(_u14423, tc_HOL_Obool))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u14431, _u14432), hAPP(hAPP(_u14431, _u14433), _u14434)) = hAPP(hAPP(_u14431, _u14433), hAPP(hAPP(_u14431, _u14432), _u14434))) | ~c_Finite__Set_Ofun__left__comm(_u14429, _u14430, _u14431) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14435, _u14436, _u14437) | c_Finite__Set_Ofun__left__comm(_u14438, _u14436, hAPP(hAPP(c_COMBB(_u14435, tc_fun(_u14436, _u14436), _u14438), _u14437), _u14439)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14440) | c_Finite__Set_Ofun__left__comm(_u14440, _u14440, c_Groups_Otimes__class_Otimes(_u14440)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14441, _u14442, _u14443) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14441, _u14442, _u14443, _u14444, _u14445), _u14446)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14441, _u14442, _u14443, _u14444, _u14445), _u14447)) | ( _u14447 = _u14446) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14449, _u14449, _u14449, hAPP(_u14450, _u14451)), hAPP(_u14450, _u14452)) = hAPP(c_Fun_Ocomp(_u14449, _u14449, _u14449, hAPP(_u14450, _u14452)), hAPP(_u14450, _u14451))) | ~c_Finite__Set_Ofun__left__comm(_u14448, _u14449, _u14450) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14453, _u14454, _u14455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14453), _u14456)) | ( hAPP(hAPP(_u14455, _u14457), hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), _u14458), _u14456)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), hAPP(hAPP(_u14455, _u14457), _u14458)), _u14456)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14459, _u14460, _u14461) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14459, _u14460, _u14461, _u14462, _u14463), _u14464)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14459, _u14460, _u14461), _u14462), _u14463) = _u14464) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14465, _u14466, _u14467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14465), _u14468)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14465, _u14466, _u14467, _u14469, _u14468), hAPP(hAPP(c_Finite__Set_Ofold(_u14465, _u14466, _u14467), _u14469), _u14468))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14470, _u14471, _u14472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14470), _u14473)) | hBOOL(hAPP(hAPP(c_member(_u14470), _u14474), _u14473)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14470, _u14471, _u14472), _u14475), hAPP(hAPP(c_Set_Oinsert(_u14470), _u14474), _u14473)) = hAPP(hAPP(_u14472, _u14474), hAPP(hAPP(c_Finite__Set_Ofold(_u14470, _u14471, _u14472), _u14475), _u14473))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14476, _u14477, _u14478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14476), _u14479)) | hBOOL(hAPP(hAPP(c_member(_u14476), _u14480), _u14479)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14476, _u14477, _u14478), _u14481), hAPP(hAPP(c_Set_Oinsert(_u14476), _u14480), _u14479)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14476, _u14477, _u14478), hAPP(hAPP(_u14478, _u14480), _u14481)), _u14479)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14483, _u14484, _u14485) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14483, _u14484, _u14485, _u14486, _u14487), _u14488)) | ~hBOOL(hAPP(hAPP(c_member(_u14483), _u14489), _u14487)) | ( _u14488 = hAPP(hAPP(_u14485, _u14489), skolem364(_u14489, _u14488, _u14487, _u14486, _u14485, _u14484, _u14483))) )).
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14483, _u14484, _u14485) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14483, _u14484, _u14485, _u14486, _u14487), _u14488)) | ~hBOOL(hAPP(hAPP(c_member(_u14483), _u14489), _u14487)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14483, _u14484, _u14485, _u14486, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14483, tc_HOL_Obool)), _u14487), hAPP(hAPP(c_Set_Oinsert(_u14483), _u14489), c_Orderings_Obot__class_Obot(tc_fun(_u14483, tc_HOL_Obool))))), skolem364(_u14489, _u14488, _u14487, _u14486, _u14485, _u14484, _u14483))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14491), _u14492)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14491, _u14490), _u14492), _u14493) = hAPP(hAPP(c_Finite__Set_Ofold(_u14491, _u14490, hAPP(hAPP(c_COMBB(_u14490, tc_fun(_u14490, _u14490), _u14491), c_Lattices_Osemilattice__inf__class_Oinf(_u14490)), _u14493)), c_Orderings_Otop__class_Otop(_u14490)), _u14492)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14494), _u14495), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14496, tc_fun(_u14494, tc_HOL_Obool)), _u14497), _u14498))) | ~hBOOL(hAPP(hAPP(c_member(_u14496), _u14499), _u14497)) | hBOOL(hAPP(hAPP(c_member(_u14494), _u14495), hAPP(_u14498, _u14499))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14500), _u14501), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14502, tc_fun(_u14500, tc_HOL_Obool)), _u14503), _u14504))) | hBOOL(hAPP(hAPP(c_member(_u14500), _u14501), hAPP(_u14504, _u14505))) | ~hBOOL(hAPP(hAPP(c_member(_u14502), _u14505), _u14503)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14506, tc_fun(_u14507, tc_HOL_Obool)), _u14508), _u14509), _u14510)) | hBOOL(hAPP(hAPP(_u14509, _u14511), _u14510)) | ~hBOOL(hAPP(hAPP(c_member(_u14506), _u14511), _u14508)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14512, tc_fun(_u14513, tc_HOL_Obool)), _u14514), _u14515), _u14516)) | ~hBOOL(hAPP(hAPP(c_member(_u14512), _u14517), _u14514)) | hBOOL(hAPP(hAPP(_u14515, _u14517), _u14516)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14518, tc_fun(_u14519, tc_fun(_u14520, tc_HOL_Obool))), _u14521), _u14522), _u14523), _u14524)) | hBOOL(hAPP(hAPP(hAPP(_u14522, _u14525), _u14523), _u14524)) | ~hBOOL(hAPP(hAPP(c_member(_u14518), _u14525), _u14521)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14526, tc_fun(_u14527, tc_fun(_u14528, tc_HOL_Obool))), _u14529), _u14530), _u14531), _u14532)) | ~hBOOL(hAPP(hAPP(c_member(_u14526), _u14533), _u14529)) | hBOOL(hAPP(hAPP(hAPP(_u14530, _u14533), _u14531), _u14532)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14535), _u14534), _u14536)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14537), hAPP(_u14538, _u14534))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14537), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14535, tc_fun(_u14537, tc_HOL_Obool)), _u14536), _u14538))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14539, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14540, tc_fun(_u14539, tc_HOL_Obool)), _u14541), _u14542)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14540, tc_fun(_u14539, tc_HOL_Obool)), _u14541), hAPP(hAPP(c_COMBB(tc_fun(_u14539, tc_HOL_Obool), tc_fun(_u14539, tc_HOL_Obool), _u14540), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14539, tc_HOL_Obool))), _u14542))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14543, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14544, tc_fun(_u14543, tc_HOL_Obool)), _u14545), _u14546)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14544, tc_fun(_u14543, tc_HOL_Obool)), _u14545), hAPP(hAPP(c_COMBB(tc_fun(_u14543, tc_HOL_Obool), tc_fun(_u14543, tc_HOL_Obool), _u14544), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14543, tc_HOL_Obool))), _u14546))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14547, tc_fun(_u14548, tc_HOL_Obool)), _u14549), hAPP(hAPP(c_COMBC(_u14547, tc_fun(_u14550, tc_fun(_u14548, tc_HOL_Obool)), tc_fun(_u14548, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14550, tc_HOL_Obool), tc_fun(tc_fun(_u14550, tc_fun(_u14548, tc_HOL_Obool)), tc_fun(_u14548, tc_HOL_Obool)), _u14547), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14550, tc_fun(_u14548, tc_HOL_Obool))), _u14551)), _u14552)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14550, tc_fun(_u14548, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14547, tc_fun(_u14550, tc_HOL_Obool)), _u14549), _u14551)), _u14552)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14553, tc_fun(_u14554, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14555, tc_fun(_u14553, tc_HOL_Obool)), _u14556), _u14557)), _u14558) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14555, tc_fun(_u14554, tc_HOL_Obool)), _u14556), hAPP(hAPP(c_COMBC(_u14555, tc_fun(_u14553, tc_fun(_u14554, tc_HOL_Obool)), tc_fun(_u14554, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14553, tc_HOL_Obool), tc_fun(tc_fun(_u14553, tc_fun(_u14554, tc_HOL_Obool)), tc_fun(_u14554, tc_HOL_Obool)), _u14555), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14553, tc_fun(_u14554, tc_HOL_Obool))), _u14557)), _u14558))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14559, tc_fun(_u14560, tc_HOL_Obool)), _u14561), hAPP(hAPP(c_COMBB(tc_fun(_u14560, tc_HOL_Obool), tc_fun(_u14560, tc_HOL_Obool), _u14559), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14560, tc_HOL_Obool)), _u14562)), _u14563)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14560, tc_HOL_Obool)), _u14562), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14559, tc_fun(_u14560, tc_HOL_Obool)), _u14561), _u14563))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14564, tc_HOL_Obool)), _u14565), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14566, tc_fun(_u14564, tc_HOL_Obool)), _u14567), _u14568)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14566, tc_fun(_u14564, tc_HOL_Obool)), _u14567), hAPP(hAPP(c_COMBB(tc_fun(_u14564, tc_HOL_Obool), tc_fun(_u14564, tc_HOL_Obool), _u14566), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14564, tc_HOL_Obool)), _u14565)), _u14568))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14573, tc_fun(_u14575, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14573, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14575, tc_HOL_Obool), tc_fun(_u14575, tc_HOL_Obool), _u14573), hAPP(c_COMBC(_u14575, tc_fun(_u14575, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14575))), _u14577)), _u14579)) | hBOOL(hAPP(hAPP(c_member(_u14575), _u14579), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14573, tc_fun(_u14575, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14573, tc_HOL_Obool))), _u14577))) )).
% 12.21/12.41 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14576), _u14580), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14574, tc_fun(_u14576, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14574, tc_HOL_Obool))), _u14578))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14574, tc_fun(_u14576, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14574, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14576, tc_HOL_Obool), tc_fun(_u14576, tc_HOL_Obool), _u14574), hAPP(c_COMBC(_u14576, tc_fun(_u14576, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14576))), _u14578)), _u14580)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14581), _u14582), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14583, tc_fun(_u14581, tc_HOL_Obool)), _u14584), _u14585)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14583, tc_fun(_u14581, tc_HOL_Obool)), _u14584), hAPP(hAPP(c_COMBB(tc_fun(_u14581, tc_HOL_Obool), tc_fun(_u14581, tc_HOL_Obool), _u14583), hAPP(c_Set_Oinsert(_u14581), _u14582)), _u14585))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14586, tc_fun(_u14587, tc_HOL_Obool)), _u14588), hAPP(hAPP(c_COMBB(tc_fun(_u14587, tc_HOL_Obool), tc_fun(_u14587, tc_HOL_Obool), _u14586), hAPP(c_Set_Oinsert(_u14587), _u14589)), _u14590)) = hAPP(hAPP(c_Set_Oinsert(_u14587), _u14589), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14586, tc_fun(_u14587, tc_HOL_Obool)), _u14588), _u14590))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14598), _u14600), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14602, tc_fun(_u14598, tc_HOL_Obool)), _u14604), _u14606))) | ~hBOOL(hAPP(hAPP(c_member(_u14602), _u14591), _u14604)) | hBOOL(hAPP(hAPP(c_member(_u14598), _u14600), hAPP(_u14606, _u14591))) )).
% 12.21/12.41 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14599), _u14601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14603, tc_fun(_u14599, tc_HOL_Obool)), _u14605), _u14607))) | hBOOL(hAPP(hAPP(c_member(_u14603), skolem365(_u14607, _u14605, _u14603, _u14601, _u14599)), _u14605)) )).
% 12.21/12.41 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14599), _u14601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14603, tc_fun(_u14599, tc_HOL_Obool)), _u14605), _u14607))) | ~hBOOL(hAPP(hAPP(c_member(_u14599), _u14601), hAPP(_u14607, skolem365(_u14607, _u14605, _u14603, _u14601, _u14599)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14614, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14616, tc_fun(_u14614, tc_HOL_Obool)), _u14618), _u14620)) | ~hBOOL(hAPP(hAPP(c_member(_u14616), _u14608), _u14618)) | ( hAPP(_u14620, _u14608) = c_Orderings_Otop__class_Otop(tc_fun(_u14614, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14615, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14617, tc_fun(_u14615, tc_HOL_Obool)), _u14619), _u14621)) | hBOOL(hAPP(hAPP(c_member(_u14617), skolem366(_u14621, _u14619, _u14617, _u14615)), _u14619)) )).
% 12.21/12.41 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14615, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14617, tc_fun(_u14615, tc_HOL_Obool)), _u14619), _u14621)) | ( hAPP(_u14621, skolem366(_u14621, _u14619, _u14617, _u14615)) != c_Orderings_Otop__class_Otop(tc_fun(_u14615, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14628, tc_fun(_u14630, tc_HOL_Obool)), _u14632), _u14634) != c_Orderings_Otop__class_Otop(tc_fun(_u14630, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14628), _u14622), _u14632)) | ( hAPP(_u14634, _u14622) = c_Orderings_Otop__class_Otop(tc_fun(_u14630, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14629, tc_fun(_u14631, tc_HOL_Obool)), _u14633), _u14635) = c_Orderings_Otop__class_Otop(tc_fun(_u14631, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14629), skolem367(_u14635, _u14633, _u14631, _u14629)), _u14633)) )).
% 12.21/12.41 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14629, tc_fun(_u14631, tc_HOL_Obool)), _u14633), _u14635) = c_Orderings_Otop__class_Otop(tc_fun(_u14631, tc_HOL_Obool))) | ( hAPP(_u14635, skolem367(_u14635, _u14633, _u14631, _u14629)) != c_Orderings_Otop__class_Otop(tc_fun(_u14631, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14636) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14637, _u14636), _u14638), hAPP(hAPP(c_COMBB(tc_fun(_u14639, _u14636), _u14636, _u14637), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14639, _u14636), _u14640)), _u14641)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14639, _u14636), _u14640), hAPP(hAPP(c_COMBB(tc_fun(_u14637, _u14636), _u14636, _u14639), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14637, _u14636), _u14638)), hAPP(c_COMBC(_u14637, _u14639, _u14636), _u14641)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u14642), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14643, tc_fun(_u14642, tc_HOL_Obool)), _u14644), _u14645)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14643, tc_fun(tc_fun(_u14642, tc_HOL_Obool), tc_HOL_Obool)), _u14644), hAPP(hAPP(c_COMBB(tc_fun(_u14642, tc_HOL_Obool), tc_fun(tc_fun(_u14642, tc_HOL_Obool), tc_HOL_Obool), _u14643), c_Set_OPow(_u14642)), _u14645))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14646) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14647, tc_fun(_u14648, _u14646)), _u14649), _u14650), _u14651) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14647, _u14646), _u14649), hAPP(hAPP(c_COMBC(_u14647, _u14648, _u14646), _u14650), _u14651))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14652, tc_fun(_u14653, tc_HOL_Obool)), _u14654), hAPP(hAPP(c_COMBS(_u14652, tc_fun(_u14653, tc_HOL_Obool), tc_fun(_u14653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14653, tc_HOL_Obool), tc_fun(tc_fun(_u14653, tc_HOL_Obool), tc_fun(_u14653, tc_HOL_Obool)), _u14652), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14653, tc_HOL_Obool))), _u14655)), _u14656)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14653, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14652, tc_fun(_u14653, tc_HOL_Obool)), _u14654), _u14655)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14652, tc_fun(_u14653, tc_HOL_Obool)), _u14654), _u14656))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14663, tc_fun(_u14665, tc_fun(_u14667, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14663, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_fun(_u14665, tc_fun(_u14667, tc_HOL_Obool)), _u14663), hAPP(c_COMBC(_u14665, tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_fun(_u14667, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14667, tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_fun(_u14667, tc_HOL_Obool)), _u14665), c_COMBC(_u14667, tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14667, tc_prod(_u14665, _u14667)), tc_fun(_u14667, tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool)), _u14665), hAPP(c_COMBB(tc_prod(_u14665, _u14667), tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool), _u14667), c_member(tc_prod(_u14665, _u14667)))), c_Product__Type_OPair(_u14665, _u14667))))), _u14669)), _u14671), _u14673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14665, _u14667)), hAPP(hAPP(c_Product__Type_OPair(_u14665, _u14667), _u14671), _u14673)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14663, tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14663, tc_HOL_Obool))), _u14669))) )).
% 12.21/12.41 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14668)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14668), _u14672), _u14674)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14664, tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14664, tc_HOL_Obool))), _u14670))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14664, tc_fun(_u14666, tc_fun(_u14668, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14664, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_fun(_u14666, tc_fun(_u14668, tc_HOL_Obool)), _u14664), hAPP(c_COMBC(_u14666, tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_fun(_u14668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14668, tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_fun(_u14668, tc_HOL_Obool)), _u14666), c_COMBC(_u14668, tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14668, tc_prod(_u14666, _u14668)), tc_fun(_u14668, tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool)), _u14666), hAPP(c_COMBB(tc_prod(_u14666, _u14668), tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool), _u14668), c_member(tc_prod(_u14666, _u14668)))), c_Product__Type_OPair(_u14666, _u14668))))), _u14670)), _u14672), _u14674)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14675, _u14676, _u14677), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14678, tc_fun(_u14676, tc_HOL_Obool)), _u14679), _u14680)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14678, tc_fun(_u14675, tc_HOL_Obool)), _u14679), hAPP(hAPP(c_COMBB(tc_fun(_u14676, tc_HOL_Obool), tc_fun(_u14675, tc_HOL_Obool), _u14678), c_Set_Ovimage(_u14675, _u14676, _u14677)), _u14680))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14681, tc_fun(_u14682, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14683, _u14681, _u14684), _u14685)), _u14686) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14683, tc_fun(_u14682, tc_HOL_Obool)), _u14685), hAPP(hAPP(c_COMBB(_u14681, tc_fun(_u14682, tc_HOL_Obool), _u14683), _u14686), _u14684))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14687, tc_fun(_u14688, tc_HOL_Obool)), _u14689), hAPP(hAPP(c_COMBB(_u14690, tc_fun(_u14688, tc_HOL_Obool), _u14687), _u14691), _u14692)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14690, tc_fun(_u14688, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14687, _u14690, _u14692), _u14689)), _u14691)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14693, tc_HOL_Obool) = c_Set_OBall(_u14693)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14694), _u14695), _u14696)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14694, tc_fun(_u14697, tc_HOL_Obool)), _u14696), hAPP(hAPP(c_COMBB(tc_fun(_u14697, tc_HOL_Obool), tc_fun(_u14697, tc_HOL_Obool), _u14694), hAPP(c_Set_Oinsert(_u14697), _u14698)), _u14699)) = hAPP(hAPP(c_Set_Oinsert(_u14697), _u14698), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14694, tc_fun(_u14697, tc_HOL_Obool)), _u14696), _u14699))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14700), _u14701), _u14702)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14703, tc_HOL_Obool)), hAPP(_u14704, _u14701)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14700, tc_fun(_u14703, tc_HOL_Obool)), _u14702), _u14704)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14700, tc_fun(_u14703, tc_HOL_Obool)), _u14702), _u14704)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14705) | ( _u14706 = c_Orderings_Obot__class_Obot(tc_fun(_u14707, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14707, _u14705), _u14706), hAPP(c_COMBK(_u14705, _u14707), _u14708)) = _u14708) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u14714 != c_Orderings_Obot__class_Obot(tc_fun(_u14716, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14718, tc_HOL_Obool)), _u14720), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14716, tc_fun(_u14718, tc_HOL_Obool)), _u14714), _u14722)) = _u14720) )).
% 12.21/12.41 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u14715 = c_Orderings_Obot__class_Obot(tc_fun(_u14717, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14719, tc_HOL_Obool)), _u14721), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14717, tc_fun(_u14719, tc_HOL_Obool)), _u14715), _u14723)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14717, tc_fun(_u14719, tc_HOL_Obool)), _u14715), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_HOL_Obool), _u14717), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14719, tc_HOL_Obool)), _u14721)), _u14723))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u14729 != c_Orderings_Obot__class_Obot(tc_fun(_u14731, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14733, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14731, tc_fun(_u14733, tc_HOL_Obool)), _u14729), _u14735)), _u14737) = _u14737) )).
% 12.21/12.41 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u14730 = c_Orderings_Obot__class_Obot(tc_fun(_u14732, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14734, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14734, tc_HOL_Obool)), _u14730), _u14736)), _u14738) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14734, tc_HOL_Obool)), _u14730), hAPP(hAPP(c_COMBC(_u14732, tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), _u14732), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14734, tc_HOL_Obool))), _u14736)), _u14738))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14739, tc_fun(_u14740, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14739, tc_HOL_Obool))), _u14741) = c_Orderings_Otop__class_Otop(tc_fun(_u14740, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__constant-1, axiom, ( ( _u14746 != c_Orderings_Obot__class_Obot(tc_fun(_u14748, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14748, tc_fun(_u14750, tc_HOL_Obool)), _u14746), hAPP(c_COMBK(tc_fun(_u14750, tc_HOL_Obool), _u14748), _u14752)) = c_Orderings_Otop__class_Otop(tc_fun(_u14750, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INT__constant-2, axiom, ( ( _u14747 = c_Orderings_Obot__class_Obot(tc_fun(_u14749, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14749, tc_fun(_u14751, tc_HOL_Obool)), _u14747), hAPP(c_COMBK(tc_fun(_u14751, tc_HOL_Obool), _u14749), _u14753)) = _u14753) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14756) | ~class_Orderings_Olinorder(_u14756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14757, _u14756), _u14758), _u14759)), _u14760)) | hBOOL(hAPP(hAPP(c_member(_u14757), skolem368(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14758)) )).
% 12.21/12.41 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14756) | ~class_Orderings_Olinorder(_u14756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14757, _u14756), _u14758), _u14759)), _u14760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(_u14759, skolem368(_u14760, _u14759, _u14758, _u14757, _u14756))), _u14760)) )).
% 12.21/12.41 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14756) | ~class_Orderings_Olinorder(_u14756) | ~hBOOL(hAPP(hAPP(c_member(_u14757), _u14755), _u14758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(_u14759, _u14755)), _u14760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14757, _u14756), _u14758), _u14759)), _u14760)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14765, _u14763), _u14766), _u14767))) | ~hBOOL(hAPP(hAPP(c_member(_u14765), _u14761), _u14766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(_u14767, _u14761))) )).
% 12.21/12.41 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14765, _u14763), _u14766), _u14767))) | hBOOL(hAPP(hAPP(c_member(_u14765), skolem369(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14766)) )).
% 12.21/12.41 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14765, _u14763), _u14766), _u14767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(_u14767, skolem369(_u14767, _u14766, _u14765, _u14764, _u14763)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14775, tc_HOL_Obool)), _u14777), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14779, tc_fun(_u14775, tc_HOL_Obool)), _u14781), _u14783))) | ~hBOOL(hAPP(hAPP(c_member(_u14779), _u14768), _u14781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14775, tc_HOL_Obool)), _u14777), hAPP(_u14783, _u14768))) )).
% 12.21/12.41 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14776, tc_HOL_Obool)), _u14778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14780, tc_fun(_u14776, tc_HOL_Obool)), _u14782), _u14784))) | hBOOL(hAPP(hAPP(c_member(_u14780), skolem370(_u14784, _u14782, _u14780, _u14778, _u14776)), _u14782)) )).
% 12.21/12.41 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14776, tc_HOL_Obool)), _u14778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14780, tc_fun(_u14776, tc_HOL_Obool)), _u14782), _u14784))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14776, tc_HOL_Obool)), _u14778), hAPP(_u14784, skolem370(_u14784, _u14782, _u14780, _u14778, _u14776)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14785), _u14786), _u14787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14788, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14785, tc_fun(_u14788, tc_HOL_Obool)), _u14787), _u14789)), hAPP(_u14789, _u14786))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14790, tc_fun(_u14791, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14790, tc_HOL_Obool)), _u14792), _u14793)), _u14794) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14791, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14790, tc_fun(_u14791, tc_HOL_Obool)), _u14792), _u14794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14790, tc_fun(_u14791, tc_HOL_Obool)), _u14793), _u14794))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14795), hAPP(hAPP(c_COMBB(tc_fun(_u14796, tc_HOL_Obool), tc_HOL_Obool, _u14795), c_HOL_OAll(_u14796)), hAPP(hAPP(c_COMBB(tc_fun(_u14796, tc_HOL_Obool), tc_fun(_u14796, tc_HOL_Obool), _u14795), hAPP(c_COMBS(_u14796, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14796), c_fimplies), hAPP(hAPP(c_COMBC(_u14796, tc_fun(_u14796, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14796)), _u14797)))), _u14798))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14796, tc_fun(_u14795, tc_HOL_Obool)), _u14797), hAPP(hAPP(c_COMBB(tc_fun(_u14795, tc_HOL_Obool), tc_fun(_u14795, tc_HOL_Obool), _u14796), c_Set_OCollect(_u14795)), hAPP(c_COMBC(_u14795, _u14796, tc_HOL_Obool), _u14798)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14799, tc_fun(_u14800, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u14799), _u14801), _u14802)), _u14803) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14800, tc_HOL_Obool)), hAPP(_u14803, _u14801)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14799, tc_fun(_u14800, tc_HOL_Obool)), _u14802), _u14803))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14804, _u14805), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14806, tc_fun(tc_prod(_u14804, _u14805), tc_HOL_Obool)), _u14807), _u14808)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14806, tc_fun(tc_prod(_u14805, _u14804), tc_HOL_Obool)), _u14807), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14804, _u14805), tc_HOL_Obool), tc_fun(tc_prod(_u14805, _u14804), tc_HOL_Obool), _u14806), c_Relation_Oconverse(_u14804, _u14805)), _u14808))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14809, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14810, tc_fun(_u14809, tc_HOL_Obool)), _u14811), _u14812)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14813, tc_fun(_u14809, tc_HOL_Obool)), _u14814), _u14815)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14810, tc_fun(_u14809, tc_HOL_Obool)), _u14811), hAPP(hAPP(c_COMBB(tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool)), tc_fun(_u14809, tc_HOL_Obool), _u14810), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14813, tc_fun(_u14809, tc_HOL_Obool)), _u14814)), hAPP(hAPP(c_COMBC(_u14810, tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool)), tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14809, tc_HOL_Obool), tc_fun(_u14809, tc_HOL_Obool)), tc_fun(tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool)), tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool))), _u14810), c_COMBB(tc_fun(_u14809, tc_HOL_Obool), tc_fun(_u14809, tc_HOL_Obool), _u14813)), hAPP(hAPP(c_COMBB(tc_fun(_u14809, tc_HOL_Obool), tc_fun(tc_fun(_u14809, tc_HOL_Obool), tc_fun(_u14809, tc_HOL_Obool)), _u14810), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14809, tc_HOL_Obool))), _u14812))), _u14815)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14816, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14817, tc_fun(_u14816, tc_HOL_Obool)), _u14818), _u14819)), _u14820) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14817, tc_fun(_u14816, tc_HOL_Obool)), _u14818), hAPP(hAPP(c_COMBC(_u14817, tc_fun(_u14816, tc_HOL_Obool), tc_fun(_u14816, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14816, tc_HOL_Obool), tc_fun(tc_fun(_u14816, tc_HOL_Obool), tc_fun(_u14816, tc_HOL_Obool)), _u14817), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14816, tc_HOL_Obool))), _u14819)), _u14820))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14821, tc_HOL_Obool)), _u14822), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14823, tc_fun(_u14821, tc_HOL_Obool)), _u14824), _u14825)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14823, tc_fun(_u14821, tc_HOL_Obool)), _u14824), hAPP(hAPP(c_COMBB(tc_fun(_u14821, tc_HOL_Obool), tc_fun(_u14821, tc_HOL_Obool), _u14823), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14821, tc_HOL_Obool)), _u14822)), _u14825))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14826, tc_HOL_Obool)), _u14827), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14828, tc_fun(_u14826, tc_HOL_Obool)), _u14829), _u14830)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14828, tc_fun(_u14826, tc_HOL_Obool)), _u14829), hAPP(hAPP(c_COMBB(tc_fun(_u14826, tc_HOL_Obool), tc_fun(_u14826, tc_HOL_Obool), _u14828), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14826, tc_HOL_Obool)), _u14827)), _u14830))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14831, tc_fun(_u14832, tc_HOL_Obool)), _u14833), hAPP(hAPP(c_COMBC(_u14831, tc_fun(_u14832, tc_HOL_Obool), tc_fun(_u14832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14832, tc_HOL_Obool), tc_fun(tc_fun(_u14832, tc_HOL_Obool), tc_fun(_u14832, tc_HOL_Obool)), _u14831), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14832, tc_HOL_Obool))), _u14834)), _u14835)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14832, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14831, tc_fun(_u14832, tc_HOL_Obool)), _u14833), _u14834)), _u14835)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14836, tc_fun(_u14837, tc_HOL_Obool)), _u14838), hAPP(hAPP(c_COMBB(tc_fun(_u14837, tc_HOL_Obool), tc_fun(_u14837, tc_HOL_Obool), _u14836), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14837, tc_HOL_Obool)), _u14839)), _u14840)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14837, tc_HOL_Obool)), _u14839), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14836, tc_fun(_u14837, tc_HOL_Obool)), _u14838), _u14840))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14841, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14842, _u14841, _u14843), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14844, tc_fun(_u14842, tc_HOL_Obool)), _u14845), _u14846))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14844, tc_fun(_u14841, tc_HOL_Obool)), _u14845), hAPP(hAPP(c_COMBB(tc_fun(_u14842, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool), _u14844), c_Relation_OImage(_u14842, _u14841, _u14843)), _u14846)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14848, tc_HOL_Obool)), _u14849), _u14850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14847), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14848, _u14847), _u14850), _u14851)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14848, _u14847), _u14849), _u14851))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14852, tc_fun(_u14853, tc_HOL_Obool)), _u14854), _u14855) = hAPP(c_Set_OCollect(_u14853), hAPP(hAPP(c_COMBB(tc_fun(_u14852, tc_HOL_Obool), tc_HOL_Obool, _u14853), c_HOL_OAll(_u14852)), hAPP(hAPP(c_COMBB(tc_fun(_u14852, tc_HOL_Obool), tc_fun(_u14852, tc_HOL_Obool), _u14853), hAPP(c_COMBS(_u14852, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14852), c_fimplies), hAPP(hAPP(c_COMBC(_u14852, tc_fun(_u14852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14852)), _u14854)))), hAPP(hAPP(c_COMBC(_u14853, tc_fun(_u14852, tc_fun(_u14853, tc_HOL_Obool)), tc_fun(_u14852, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14853, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14852, tc_fun(_u14853, tc_HOL_Obool)), tc_fun(_u14852, tc_HOL_Obool)), _u14853), c_COMBB(tc_fun(_u14853, tc_HOL_Obool), tc_HOL_Obool, _u14852)), c_member(_u14853))), _u14855))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u14861 != c_Orderings_Obot__class_Obot(tc_fun(_u14863, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14863, tc_fun(_u14865, tc_HOL_Obool)), _u14861), hAPP(hAPP(c_COMBC(_u14863, tc_fun(_u14865, tc_HOL_Obool), tc_fun(_u14865, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14865, tc_HOL_Obool), tc_fun(tc_fun(_u14865, tc_HOL_Obool), tc_fun(_u14865, tc_HOL_Obool)), _u14863), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14865, tc_HOL_Obool))), _u14867)), _u14869)) = c_Orderings_Otop__class_Otop(tc_fun(_u14865, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u14862 = c_Orderings_Obot__class_Obot(tc_fun(_u14864, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14864, tc_fun(_u14866, tc_HOL_Obool)), _u14862), hAPP(hAPP(c_COMBC(_u14864, tc_fun(_u14866, tc_HOL_Obool), tc_fun(_u14866, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14866, tc_HOL_Obool), tc_fun(tc_fun(_u14866, tc_HOL_Obool), tc_fun(_u14866, tc_HOL_Obool)), _u14864), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14866, tc_HOL_Obool))), _u14868)), _u14870)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14866, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14864, tc_fun(_u14866, tc_HOL_Obool)), _u14862), _u14868)), _u14870)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u14876 != c_Orderings_Obot__class_Obot(tc_fun(_u14878, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14878, tc_fun(_u14880, tc_HOL_Obool)), _u14876), hAPP(hAPP(c_COMBB(tc_fun(_u14880, tc_HOL_Obool), tc_fun(_u14880, tc_HOL_Obool), _u14878), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14880, tc_HOL_Obool)), _u14882)), _u14884)) = c_Orderings_Otop__class_Otop(tc_fun(_u14880, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u14877 = c_Orderings_Obot__class_Obot(tc_fun(_u14879, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14879, tc_fun(_u14881, tc_HOL_Obool)), _u14877), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_HOL_Obool), tc_fun(_u14881, tc_HOL_Obool), _u14879), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14881, tc_HOL_Obool)), _u14883)), _u14885)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14881, tc_HOL_Obool)), _u14883), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14879, tc_fun(_u14881, tc_HOL_Obool)), _u14877), _u14885))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u14891 != c_Orderings_Obot__class_Obot(tc_fun(_u14893, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14895, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14893, tc_fun(_u14895, tc_HOL_Obool)), _u14891), _u14897)), _u14899) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14895, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14895, tc_HOL_Obool))), _u14899)) )).
% 12.21/12.41 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u14892 = c_Orderings_Obot__class_Obot(tc_fun(_u14894, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14896, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14894, tc_fun(_u14896, tc_HOL_Obool)), _u14892), _u14898)), _u14900) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14894, tc_fun(_u14896, tc_HOL_Obool)), _u14892), hAPP(hAPP(c_COMBC(_u14894, tc_fun(_u14896, tc_HOL_Obool), tc_fun(_u14896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14896, tc_HOL_Obool), tc_fun(tc_fun(_u14896, tc_HOL_Obool), tc_fun(_u14896, tc_HOL_Obool)), _u14894), c_Groups_Ominus__class_Ominus(tc_fun(_u14896, tc_HOL_Obool))), _u14898)), _u14900))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u14906 != c_Orderings_Obot__class_Obot(tc_fun(_u14908, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14908, tc_fun(_u14910, tc_HOL_Obool)), _u14906), hAPP(hAPP(c_COMBC(_u14908, tc_fun(_u14910, tc_HOL_Obool), tc_fun(_u14910, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14910, tc_HOL_Obool), tc_fun(tc_fun(_u14910, tc_HOL_Obool), tc_fun(_u14910, tc_HOL_Obool)), _u14908), c_Groups_Ominus__class_Ominus(tc_fun(_u14910, tc_HOL_Obool))), _u14912)), _u14914)) = c_Orderings_Otop__class_Otop(tc_fun(_u14910, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u14907 = c_Orderings_Obot__class_Obot(tc_fun(_u14909, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14911, tc_HOL_Obool)), _u14907), hAPP(hAPP(c_COMBC(_u14909, tc_fun(_u14911, tc_HOL_Obool), tc_fun(_u14911, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14911, tc_HOL_Obool), tc_fun(tc_fun(_u14911, tc_HOL_Obool), tc_fun(_u14911, tc_HOL_Obool)), _u14909), c_Groups_Ominus__class_Ominus(tc_fun(_u14911, tc_HOL_Obool))), _u14913)), _u14915)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14911, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14911, tc_HOL_Obool)), _u14907), _u14913)), _u14915)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u14921 != c_Orderings_Obot__class_Obot(tc_fun(_u14923, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14925, tc_HOL_Obool)), _u14927), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14923, tc_fun(_u14925, tc_HOL_Obool)), _u14921), _u14929)) = _u14927) )).
% 12.21/12.41 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u14922 = c_Orderings_Obot__class_Obot(tc_fun(_u14924, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14926, tc_HOL_Obool)), _u14928), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14924, tc_fun(_u14926, tc_HOL_Obool)), _u14922), _u14930)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14924, tc_fun(_u14926, tc_HOL_Obool)), _u14922), hAPP(hAPP(c_COMBB(tc_fun(_u14926, tc_HOL_Obool), tc_fun(_u14926, tc_HOL_Obool), _u14924), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14926, tc_HOL_Obool)), _u14928)), _u14930))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14931) | ~hBOOL(hAPP(hAPP(c_member(_u14932), _u14933), _u14934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14931), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14932, _u14931), _u14934), _u14935)), hAPP(_u14935, _u14933))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__greaterThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u14941 != c_Orderings_Obot__class_Obot(tc_fun(_u14943, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14943, tc_fun(_u14945, tc_HOL_Obool)), _u14941), hAPP(hAPP(c_COMBB(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool), _u14943), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14945, tc_HOL_Obool)), _u14947)), _u14949)) = c_Orderings_Otop__class_Otop(tc_fun(_u14945, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u14942 = c_Orderings_Obot__class_Obot(tc_fun(_u14944, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14944, tc_fun(_u14946, tc_HOL_Obool)), _u14942), hAPP(hAPP(c_COMBB(tc_fun(_u14946, tc_HOL_Obool), tc_fun(_u14946, tc_HOL_Obool), _u14944), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14946, tc_HOL_Obool)), _u14948)), _u14950)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14946, tc_HOL_Obool)), _u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14944, tc_fun(_u14946, tc_HOL_Obool)), _u14942), _u14950))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14951, _u14952, hAPP(c_Relation_Oconverse(_u14952, _u14951), _u14953)) | ( _u14954 = c_Orderings_Obot__class_Obot(tc_fun(_u14955, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14952, _u14951, _u14953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14955, tc_fun(_u14952, tc_HOL_Obool)), _u14954), _u14956)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14955, tc_fun(_u14951, tc_HOL_Obool)), _u14954), hAPP(hAPP(c_COMBB(tc_fun(_u14952, tc_HOL_Obool), tc_fun(_u14951, tc_HOL_Obool), _u14955), c_Relation_OImage(_u14952, _u14951, _u14953)), _u14956))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14958), _u14959)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14957), _u14960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14958, _u14957), _u14959), _u14961)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14958, _u14957, hAPP(hAPP(c_COMBB(_u14957, tc_fun(_u14957, _u14957), _u14958), c_Lattices_Osemilattice__inf__class_Oinf(_u14957)), _u14961)), _u14960), _u14959)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14962), _u14963)) | ( c_Complete__Lattice_OInf__class_OInf(_u14962, _u14963) = hAPP(hAPP(c_Finite__Set_Ofold(_u14962, _u14962, c_Lattices_Osemilattice__inf__class_Oinf(_u14962)), c_Orderings_Otop__class_Otop(_u14962)), _u14963)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14964) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14964), _u14965)) | ( c_Complete__Lattice_OSup__class_OSup(_u14964, _u14965) = hAPP(hAPP(c_Finite__Set_Ofold(_u14964, _u14964, c_Lattices_Osemilattice__sup__class_Osup(_u14964)), c_Orderings_Obot__class_Obot(_u14964)), _u14965)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14967, tc_HOL_Obool)), _u14966), _u14968)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14967), _u14966)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14967), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14967, tc_HOL_Obool), _u14968))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14969, tc_HOL_Obool)), _u14970), _u14971)) | ~hBOOL(hAPP(hAPP(c_member(_u14969), _u14972), _u14970)) | hBOOL(hAPP(hAPP(c_member(_u14969), _u14972), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u14969, tc_HOL_Obool), _u14971))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_InterE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14973), _u14974), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14973, tc_HOL_Obool), _u14975))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14973, tc_HOL_Obool)), _u14976), _u14975)) | hBOOL(hAPP(hAPP(c_member(_u14973), _u14974), _u14976)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_InterD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14977), _u14978), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14977, tc_HOL_Obool), _u14979))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14977, tc_HOL_Obool)), _u14980), _u14979)) | hBOOL(hAPP(hAPP(c_member(_u14977), _u14978), _u14980)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14990, tc_fun(_u14992, tc_fun(_u14994, tc_HOL_Obool))), _u14996), _u14998), _u15000), _u15002)) | ~hBOOL(hAPP(hAPP(c_member(_u14990), _u14981), _u14996)) | hBOOL(hAPP(hAPP(hAPP(_u14998, _u14981), _u15000), _u15002)) )).
% 12.21/12.41 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14991, tc_fun(_u14993, tc_fun(_u14995, tc_HOL_Obool))), _u14997), _u14999), _u15001), _u15003)) | hBOOL(hAPP(hAPP(c_member(_u14991), skolem371(_u15003, _u15001, _u14999, _u14997, _u14995, _u14993, _u14991)), _u14997)) )).
% 12.21/12.41 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14991, tc_fun(_u14993, tc_fun(_u14995, tc_HOL_Obool))), _u14997), _u14999), _u15001), _u15003)) | ~hBOOL(hAPP(hAPP(hAPP(_u14999, skolem371(_u15003, _u15001, _u14999, _u14997, _u14995, _u14993, _u14991)), _u15001), _u15003)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15004, tc_HOL_Obool), tc_fun(_u15005, tc_HOL_Obool)), _u15006), hAPP(hAPP(c_COMBC(tc_fun(_u15004, tc_HOL_Obool), tc_fun(_u15004, tc_fun(_u15005, tc_HOL_Obool)), tc_fun(_u15005, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15004, tc_fun(_u15005, tc_HOL_Obool))), _u15007)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15004, tc_fun(_u15005, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15004, tc_HOL_Obool), _u15006)), _u15007)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15008, tc_fun(_u15009, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15008, tc_HOL_Obool), _u15010)), _u15011) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15008, tc_HOL_Obool), tc_fun(_u15009, tc_HOL_Obool)), _u15010), hAPP(hAPP(c_COMBC(tc_fun(_u15008, tc_HOL_Obool), tc_fun(_u15008, tc_fun(_u15009, tc_HOL_Obool)), tc_fun(_u15009, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15008, tc_fun(_u15009, tc_HOL_Obool))), _u15011))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15019, tc_fun(_u15021, tc_HOL_Obool)), _u15023), _u15025), _u15027)) | ~hBOOL(hAPP(hAPP(c_member(_u15019), _u15012), _u15023)) | hBOOL(hAPP(hAPP(_u15025, _u15012), _u15027)) )).
% 12.21/12.41 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15020, tc_fun(_u15022, tc_HOL_Obool)), _u15024), _u15026), _u15028)) | hBOOL(hAPP(hAPP(c_member(_u15020), skolem372(_u15028, _u15026, _u15024, _u15022, _u15020)), _u15024)) )).
% 12.21/12.41 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15020, tc_fun(_u15022, tc_HOL_Obool)), _u15024), _u15026), _u15028)) | ~hBOOL(hAPP(hAPP(_u15026, skolem372(_u15028, _u15026, _u15024, _u15022, _u15020)), _u15028)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15029, tc_fun(_u15030, tc_HOL_Obool)), _u15031), _u15032) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15030, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15029, tc_fun(_u15030, tc_HOL_Obool), _u15032), _u15031))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15033, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15034, tc_fun(_u15033, tc_HOL_Obool), _u15035), _u15036)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15034, tc_fun(_u15033, tc_HOL_Obool)), _u15036), _u15035)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15037, tc_HOL_Obool)), _u15038), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15037, tc_HOL_Obool), _u15039)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15037, tc_HOL_Obool), tc_fun(_u15037, tc_HOL_Obool)), _u15039), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15037, tc_HOL_Obool)), _u15038))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15040, tc_HOL_Obool)), _u15041), _u15042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15040, tc_HOL_Obool)), _u15041), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15040, tc_HOL_Obool), _u15042))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), c_Complete__Lattice_OSup__class_OSup(_u15045, _u15046)), _u15047)) | ~hBOOL(hAPP(hAPP(c_member(_u15045), _u15043), _u15046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), _u15043), _u15047)) )).
% 12.21/12.41 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), c_Complete__Lattice_OSup__class_OSup(_u15045, _u15046)), _u15047)) | hBOOL(hAPP(hAPP(c_member(_u15045), skolem373(_u15047, _u15046, _u15045)), _u15046)) )).
% 12.21/12.41 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), c_Complete__Lattice_OSup__class_OSup(_u15045, _u15046)), _u15047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), skolem373(_u15047, _u15046, _u15045)), _u15047)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), c_Complete__Lattice_OInf__class_OInf(_u15050, _u15052))) | ~hBOOL(hAPP(hAPP(c_member(_u15050), _u15048), _u15052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), _u15048)) )).
% 12.21/12.41 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), c_Complete__Lattice_OInf__class_OInf(_u15050, _u15052))) | hBOOL(hAPP(hAPP(c_member(_u15050), skolem374(_u15052, _u15051, _u15050)), _u15052)) )).
% 12.21/12.41 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), c_Complete__Lattice_OInf__class_OInf(_u15050, _u15052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), skolem374(_u15052, _u15051, _u15050))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15055) | ~class_Orderings_Olinorder(_u15055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), c_Complete__Lattice_OSup__class_OSup(_u15055, _u15057))) | hBOOL(hAPP(hAPP(c_member(_u15055), skolem375(_u15057, _u15056, _u15055)), _u15057)) )).
% 12.21/12.41 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15055) | ~class_Orderings_Olinorder(_u15055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), c_Complete__Lattice_OSup__class_OSup(_u15055, _u15057))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), skolem375(_u15057, _u15056, _u15055))) )).
% 12.21/12.41 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15055) | ~class_Orderings_Olinorder(_u15055) | ~hBOOL(hAPP(hAPP(c_member(_u15055), _u15054), _u15057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), _u15054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), c_Complete__Lattice_OSup__class_OSup(_u15055, _u15057))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15060) | ~class_Orderings_Olinorder(_u15060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), c_Complete__Lattice_OInf__class_OInf(_u15060, _u15061)), _u15062)) | hBOOL(hAPP(hAPP(c_member(_u15060), skolem376(_u15062, _u15061, _u15060)), _u15061)) )).
% 12.21/12.41 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15060) | ~class_Orderings_Olinorder(_u15060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), c_Complete__Lattice_OInf__class_OInf(_u15060, _u15061)), _u15062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), skolem376(_u15062, _u15061, _u15060)), _u15062)) )).
% 12.21/12.41 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15060) | ~class_Orderings_Olinorder(_u15060) | ~hBOOL(hAPP(hAPP(c_member(_u15060), _u15059), _u15061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), _u15059), _u15062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), c_Complete__Lattice_OInf__class_OInf(_u15060, _u15061)), _u15062)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u15063), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15063, _u15063), tc_HOL_Obool), _u15064)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15063, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u15063, _u15063), tc_HOL_Obool), tc_fun(_u15063, tc_HOL_Obool), c_Relation_OField(_u15063)), _u15064))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15065, tc_HOL_Obool), hAPP(c_Set_OPow(_u15065), _u15066)) = _u15066) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15072, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15072, tc_HOL_Obool), _u15074)), _u15076) != c_Orderings_Obot__class_Obot(tc_fun(_u15072, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15072, tc_HOL_Obool)), _u15067), _u15074)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15072, tc_HOL_Obool)), _u15067), _u15076) = c_Orderings_Obot__class_Obot(tc_fun(_u15072, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15073, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15073, tc_HOL_Obool), _u15075)), _u15077) = c_Orderings_Obot__class_Obot(tc_fun(_u15073, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15073, tc_HOL_Obool)), skolem377(_u15077, _u15075, _u15073)), _u15075)) )).
% 12.21/12.41 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15073, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15073, tc_HOL_Obool), _u15075)), _u15077) = c_Orderings_Obot__class_Obot(tc_fun(_u15073, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15073, tc_HOL_Obool)), skolem377(_u15077, _u15075, _u15073)), _u15077) != c_Orderings_Obot__class_Obot(tc_fun(_u15073, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15078, _u15079), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15078, _u15079), tc_HOL_Obool), _u15080)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15078, _u15079), tc_HOL_Obool), tc_fun(_u15078, tc_HOL_Obool)), _u15080), c_Relation_ODomain(_u15078, _u15079))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15081, tc_fun(_u15082, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15081, tc_HOL_Obool), _u15083)), _u15084) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15081, tc_HOL_Obool), tc_fun(_u15082, tc_HOL_Obool)), _u15083), hAPP(hAPP(c_COMBC(tc_fun(_u15081, tc_HOL_Obool), tc_fun(_u15081, tc_fun(_u15082, tc_HOL_Obool)), tc_fun(_u15082, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15081, tc_fun(_u15082, tc_HOL_Obool))), _u15084))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15085, tc_HOL_Obool), tc_fun(_u15086, tc_HOL_Obool)), _u15087), hAPP(hAPP(c_COMBC(tc_fun(_u15085, tc_HOL_Obool), tc_fun(_u15085, tc_fun(_u15086, tc_HOL_Obool)), tc_fun(_u15086, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15085, tc_fun(_u15086, tc_HOL_Obool))), _u15088)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15085, tc_fun(_u15086, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15085, tc_HOL_Obool), _u15087)), _u15088)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u15089, _u15090), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15089, _u15090), tc_HOL_Obool), _u15091)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15089, _u15090), tc_HOL_Obool), tc_fun(_u15090, tc_HOL_Obool)), _u15091), c_Relation_ORange(_u15089, _u15090))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15092, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15092, tc_HOL_Obool), _u15093)), _u15094) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15092, tc_HOL_Obool), tc_fun(_u15092, tc_HOL_Obool)), _u15093), hAPP(hAPP(c_COMBC(tc_fun(_u15092, tc_HOL_Obool), tc_fun(_u15092, tc_HOL_Obool), tc_fun(_u15092, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15092, tc_HOL_Obool))), _u15094))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15095, tc_HOL_Obool)), _u15096), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15095, tc_HOL_Obool), _u15097)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15095, tc_HOL_Obool), tc_fun(_u15095, tc_HOL_Obool)), _u15097), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15095, tc_HOL_Obool)), _u15096))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u15098, _u15099, _u15100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15099, tc_HOL_Obool), _u15101)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15099, tc_HOL_Obool), tc_fun(_u15098, tc_HOL_Obool)), _u15101), c_Set_Ovimage(_u15098, _u15099, _u15100))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u15102, _u15103), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15102, tc_HOL_Obool), _u15104)), _u15105) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15102, tc_HOL_Obool), tc_fun(tc_prod(_u15102, _u15103), tc_HOL_Obool)), _u15104), hAPP(hAPP(c_COMBC(tc_fun(_u15102, tc_HOL_Obool), tc_fun(_u15102, tc_fun(_u15103, tc_HOL_Obool)), tc_fun(tc_prod(_u15102, _u15103), tc_HOL_Obool)), c_Product__Type_OSigma(_u15102, _u15103)), _u15105))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u15106, _u15107, _u15108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15106, tc_HOL_Obool), _u15109)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15106, tc_HOL_Obool), tc_fun(_u15107, tc_HOL_Obool)), _u15109), c_Set_Oimage(_u15106, _u15107, _u15108))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15110, tc_HOL_Obool)), _u15111), _u15112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15110, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15110, tc_HOL_Obool), _u15112)), _u15111)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15113) | ( c_Complete__Lattice_OSup__class_OSup(_u15113, _u15114) = c_Complete__Lattice_OInf__class_OInf(_u15113, hAPP(c_Set_OCollect(_u15113), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_HOL_Obool), tc_HOL_Obool, _u15113), c_HOL_OAll(_u15113)), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_HOL_Obool), tc_fun(_u15113, tc_HOL_Obool), _u15113), hAPP(c_COMBS(_u15113, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15113), c_fimplies), hAPP(hAPP(c_COMBC(_u15113, tc_fun(_u15113, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15113)), _u15114)))), hAPP(c_COMBC(_u15113, _u15113, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u15113))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15115) | ( c_Complete__Lattice_OInf__class_OInf(_u15115, _u15116) = c_Complete__Lattice_OSup__class_OSup(_u15115, hAPP(c_Set_OCollect(_u15115), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_HOL_Obool, _u15115), c_HOL_OAll(_u15115)), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(_u15115, tc_HOL_Obool), _u15115), hAPP(c_COMBS(_u15115, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15115), c_fimplies), hAPP(hAPP(c_COMBC(_u15115, tc_fun(_u15115, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15115)), _u15116)))), c_Orderings_Oord__class_Oless__eq(_u15115)))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15117, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15117, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15117, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15118, tc_HOL_Obool), tc_HOL_Obool)), _u15119), _u15120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15118, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15118, tc_HOL_Obool), _u15119)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15118, tc_HOL_Obool), _u15120))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15121, _u15122, _u15123) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15121, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u15121), _u15122), _u15123)) = _u15122) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15124, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15124, tc_HOL_Obool)), _u15125), _u15126)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15124, tc_HOL_Obool)), _u15125), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15124, tc_HOL_Obool), _u15126))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15127), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15127, tc_HOL_Obool), _u15128))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15127, tc_HOL_Obool)), _u15128)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15129, tc_HOL_Obool), tc_HOL_Obool)), _u15130), hAPP(c_Set_OPow(_u15129), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15129, tc_HOL_Obool), _u15130)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15131, tc_HOL_Obool), tc_HOL_Obool)), _u15132), _u15133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15131, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15131, tc_HOL_Obool), _u15133)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15131, tc_HOL_Obool), _u15132))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15134, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15134, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15134, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15135, tc_HOL_Obool), _u15136) = hAPP(c_Set_OCollect(_u15135), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u15135), c_HOL_OAll(tc_fun(_u15135, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), _u15135), hAPP(c_COMBS(tc_fun(_u15135, 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(_u15135, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u15135, tc_HOL_Obool), tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u15135, tc_HOL_Obool))), _u15136)))), c_member(_u15135))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15137, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15137, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15137, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15138, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15138, tc_HOL_Obool), tc_HOL_Obool)), _u15139), _u15140)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15138, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15138, tc_HOL_Obool), _u15139)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15138, tc_HOL_Obool), _u15140))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15141, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15141, tc_HOL_Obool)), _u15142), _u15143)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15141, tc_HOL_Obool)), _u15142), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15141, tc_HOL_Obool), _u15143))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15144, tc_fun(_u15145, tc_HOL_Obool)), _u15146), _u15147) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15145, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15144, tc_fun(_u15145, tc_HOL_Obool), _u15147), _u15146))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15148, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15149, tc_fun(_u15148, tc_HOL_Obool), _u15150), _u15151)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15149, tc_fun(_u15148, tc_HOL_Obool)), _u15151), _u15150)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15152) | ~hBOOL(hAPP(hAPP(c_member(_u15152), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15152), _u15153), c_Complete__Lattice_OSup__class_OSup(_u15152, _u15154))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15155, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15155, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15155, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15156) | ~hBOOL(hAPP(hAPP(c_member(_u15156), _u15157), _u15158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15156), c_Complete__Lattice_OInf__class_OInf(_u15156, _u15158)), _u15157)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15159, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15159, tc_HOL_Obool), tc_HOL_Obool)), _u15160), _u15161)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15159, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15159, tc_HOL_Obool), _u15160)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15159, tc_HOL_Obool), _u15161))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15162) | ( c_Complete__Lattice_OSup__class_OSup(_u15162, c_Orderings_Obot__class_Obot(tc_fun(_u15162, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15162)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15163) | ( c_Complete__Lattice_OSup__class_OSup(_u15163, hAPP(hAPP(c_Set_Oinsert(_u15163), _u15164), c_Orderings_Obot__class_Obot(tc_fun(_u15163, tc_HOL_Obool)))) = _u15164) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15165) | ( c_Complete__Lattice_OSup__class_OSup(_u15165, hAPP(hAPP(c_Set_Oinsert(_u15165), _u15166), _u15167)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15165), _u15166), c_Complete__Lattice_OSup__class_OSup(_u15165, _u15167))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15168, tc_fun(_u15169, tc_HOL_Obool)), _u15170), hAPP(hAPP(c_COMBS(_u15168, tc_fun(_u15169, tc_HOL_Obool), tc_fun(_u15169, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15169, tc_HOL_Obool), tc_fun(tc_fun(_u15169, tc_HOL_Obool), tc_fun(_u15169, tc_HOL_Obool)), _u15168), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15169, tc_HOL_Obool))), _u15171)), _u15172)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15169, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15169, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15168, tc_fun(_u15169, tc_HOL_Obool), _u15171), _u15170))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15169, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15168, tc_fun(_u15169, tc_HOL_Obool), _u15172), _u15170)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ( c_Complete__Lattice_OSup__class_OSup(_u15173, c_Orderings_Otop__class_Otop(tc_fun(_u15173, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15173)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15174) | ( c_Complete__Lattice_OInf__class_OInf(_u15174, hAPP(hAPP(c_Set_Oinsert(_u15174), _u15175), c_Orderings_Obot__class_Obot(tc_fun(_u15174, tc_HOL_Obool)))) = _u15175) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15176) | ( c_Complete__Lattice_OInf__class_OInf(_u15176, c_Orderings_Obot__class_Obot(tc_fun(_u15176, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15176)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15177) | ( c_Complete__Lattice_OInf__class_OInf(_u15177, c_Orderings_Otop__class_Otop(tc_fun(_u15177, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15177)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | ( c_Complete__Lattice_OInf__class_OInf(_u15178, hAPP(hAPP(c_Set_Oinsert(_u15178), _u15179), _u15180)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15178), _u15179), c_Complete__Lattice_OInf__class_OInf(_u15178, _u15180))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15181, tc_HOL_Obool)), _u15182), _u15183) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15181, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15181, tc_HOL_Obool)), _u15182), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15181, tc_HOL_Obool)), _u15183), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15181, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15184, tc_fun(_u15185, tc_HOL_Obool)), _u15186), hAPP(hAPP(c_COMBS(_u15184, tc_fun(_u15185, tc_HOL_Obool), tc_fun(_u15185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15185, tc_HOL_Obool), tc_fun(tc_fun(_u15185, tc_HOL_Obool), tc_fun(_u15185, tc_HOL_Obool)), _u15184), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15185, tc_HOL_Obool))), _u15187)), _u15188)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15185, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15184, tc_fun(_u15185, tc_HOL_Obool), _u15187), _u15186))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15184, tc_fun(_u15185, tc_HOL_Obool), _u15188), _u15186)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15189, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15189, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15189, tc_HOL_Obool), tc_HOL_Obool)), _u15190), _u15191))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15189, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15189, tc_HOL_Obool), _u15190)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15189, tc_HOL_Obool), _u15191)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), _u15193), _u15194) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15192, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15192, tc_HOL_Obool)), _u15193), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15192, tc_HOL_Obool)), _u15194), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15192, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15195, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15195, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15195, tc_HOL_Obool), _u15196)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15195, tc_HOL_Obool), _u15197))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15195, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15195, tc_HOL_Obool), tc_HOL_Obool)), _u15196), _u15197)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15198) | ( c_Complete__Lattice_OSup__class_OSup(_u15198, hAPP(hAPP(c_Set_Oinsert(_u15198), _u15199), hAPP(hAPP(c_Set_Oinsert(_u15198), _u15200), c_Orderings_Obot__class_Obot(tc_fun(_u15198, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15198), _u15199), _u15200)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15201) | ( c_Complete__Lattice_OInf__class_OInf(_u15201, hAPP(hAPP(c_Set_Oinsert(_u15201), _u15202), hAPP(hAPP(c_Set_Oinsert(_u15201), _u15203), c_Orderings_Obot__class_Obot(tc_fun(_u15201, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15201), _u15202), _u15203)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15204), _u15205)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15204), _u15206), c_Complete__Lattice_OSup__class_OSup(_u15204, _u15205)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15204, _u15204, c_Lattices_Osemilattice__sup__class_Osup(_u15204)), _u15206), _u15205)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15207), _u15208)) | ( _u15208 = c_Orderings_Obot__class_Obot(tc_fun(_u15207, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15207, _u15208) = c_Complete__Lattice_OSup__class_OSup(_u15207, _u15208)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15209) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15209), _u15210)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15209), _u15211), c_Complete__Lattice_OInf__class_OInf(_u15209, _u15210)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15209, _u15209, c_Lattices_Osemilattice__inf__class_Oinf(_u15209)), _u15211), _u15210)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15212), _u15213)) | ( _u15213 = c_Orderings_Obot__class_Obot(tc_fun(_u15212, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15212, _u15213) = c_Complete__Lattice_OInf__class_OInf(_u15212, _u15213)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u15215, _u15216, _u15217, _u15218) | ~hBOOL(hAPP(hAPP(c_member(_u15219), _u15222), _u15220)) | ( hAPP(c_Set_Oimage(_u15215, _u15216, _u15217), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15215, tc_HOL_Obool)), _u15220), _u15221)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15216, tc_HOL_Obool)), _u15220), hAPP(hAPP(c_COMBB(tc_fun(_u15215, tc_HOL_Obool), tc_fun(_u15216, tc_HOL_Obool), _u15219), c_Set_Oimage(_u15215, _u15216, _u15217)), _u15221))) | hBOOL(hAPP(hAPP(c_member(_u15219), skolem378(_u15222, _u15221, _u15220, _u15219, _u15218, _u15217, _u15216, _u15215)), _u15220)) )).
% 12.21/12.41 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u15215, _u15216, _u15217, _u15218) | ~hBOOL(hAPP(hAPP(c_member(_u15219), _u15222), _u15220)) | ( hAPP(c_Set_Oimage(_u15215, _u15216, _u15217), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15215, tc_HOL_Obool)), _u15220), _u15221)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15216, tc_HOL_Obool)), _u15220), hAPP(hAPP(c_COMBB(tc_fun(_u15215, tc_HOL_Obool), tc_fun(_u15216, tc_HOL_Obool), _u15219), c_Set_Oimage(_u15215, _u15216, _u15217)), _u15221))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15215, tc_HOL_Obool)), hAPP(_u15221, skolem378(_u15222, _u15221, _u15220, _u15219, _u15218, _u15217, _u15216, _u15215))), _u15218)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.41 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem381(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.41 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( skolem380(_u15228, _u15227, _u15226) != skolem381(_u15228, _u15227, _u15226)) )).
% 12.21/12.41 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), skolem381(_u15228, _u15227, _u15226)) != c_Orderings_Obot__class_Obot(tc_fun(_u15226, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.41 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem381(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.41 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( skolem380(_u15228, _u15227, _u15226) != skolem381(_u15228, _u15227, _u15226)) )).
% 12.21/12.41 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), skolem381(_u15228, _u15227, _u15226)) != c_Orderings_Obot__class_Obot(tc_fun(_u15226, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15229, tc_HOL_Obool), _u15230) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15229, tc_HOL_Obool), tc_fun(_u15229, tc_HOL_Obool)), _u15230), c_COMBI(tc_fun(_u15229, tc_HOL_Obool)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15231, tc_HOL_Obool), _u15232) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15231, tc_HOL_Obool), tc_fun(_u15231, tc_HOL_Obool)), _u15232), c_COMBI(tc_fun(_u15231, tc_HOL_Obool)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15234, tc_HOL_Obool)), _u15235)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15234), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15234, tc_HOL_Obool), _u15235))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15234, tc_HOL_Obool)), skolem382(_u15235, _u15234)), _u15235)) )).
% 12.21/12.41 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15234, tc_HOL_Obool)), _u15235)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15234), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15234, tc_HOL_Obool), _u15235))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15234), skolem382(_u15235, _u15234))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), skolem383(_u15240, _u15239, _u15238)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240))) )).
% 12.21/12.41 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), skolem384(_u15240, _u15239, _u15238)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240))) )).
% 12.21/12.41 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | ( skolem383(_u15240, _u15239, _u15238) != skolem384(_u15240, _u15239, _u15238)) )).
% 12.21/12.41 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), skolem383(_u15240, _u15239, _u15238)), skolem384(_u15240, _u15239, _u15238)) != c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__on__Inter-1, axiom, ( ( _u15242 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15243, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15243, _u15244, _u15245, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15243, tc_HOL_Obool), _u15242)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15243, tc_HOL_Obool)), skolem385(_u15245, _u15244, _u15243, _u15242)), _u15242)) )).
% 12.21/12.41 cnf(fact_inj__on__Inter-2, axiom, ( ( _u15242 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15243, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15243, _u15244, _u15245, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15243, tc_HOL_Obool), _u15242)) | ~c_Fun_Oinj__on(_u15243, _u15244, _u15245, skolem385(_u15245, _u15244, _u15243, _u15242)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Inter__subset-1, axiom, ( ( _u15248 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15247, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15247, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15247, tc_HOL_Obool), _u15248)), _u15249)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15247, tc_HOL_Obool)), skolem386(_u15249, _u15248, _u15247)), _u15248)) )).
% 12.21/12.41 cnf(fact_Inter__subset-2, axiom, ( ( _u15248 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15247, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15247, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15247, tc_HOL_Obool), _u15248)), _u15249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15247, tc_HOL_Obool)), skolem386(_u15249, _u15248, _u15247)), _u15249)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__on__INTER-1, axiom, ( ( _u15251 = c_Orderings_Obot__class_Obot(tc_fun(_u15252, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15253, _u15254, _u15255, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15252, tc_fun(_u15253, tc_HOL_Obool)), _u15251), _u15256)) | hBOOL(hAPP(hAPP(c_member(_u15252), skolem387(_u15256, _u15255, _u15254, _u15253, _u15252, _u15251)), _u15251)) )).
% 12.21/12.41 cnf(fact_inj__on__INTER-2, axiom, ( ( _u15251 = c_Orderings_Obot__class_Obot(tc_fun(_u15252, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15253, _u15254, _u15255, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15252, tc_fun(_u15253, tc_HOL_Obool)), _u15251), _u15256)) | ~c_Fun_Oinj__on(_u15253, _u15254, _u15255, hAPP(_u15256, skolem387(_u15256, _u15255, _u15254, _u15253, _u15252, _u15251))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15258, _u15259, _u15260) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15258, _u15259, _u15260, _u15261, hAPP(hAPP(c_Set_Oinsert(_u15258), _u15262), _u15263)), _u15264)) | hBOOL(hAPP(hAPP(c_member(_u15258), _u15262), _u15263)) | ( _u15264 = hAPP(hAPP(_u15260, _u15262), skolem388(_u15264, _u15263, _u15262, _u15261, _u15260, _u15259, _u15258))) )).
% 12.21/12.41 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15258, _u15259, _u15260) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15258, _u15259, _u15260, _u15261, hAPP(hAPP(c_Set_Oinsert(_u15258), _u15262), _u15263)), _u15264)) | hBOOL(hAPP(hAPP(c_member(_u15258), _u15262), _u15263)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15258, _u15259, _u15260, _u15261, _u15263), skolem388(_u15264, _u15263, _u15262, _u15261, _u15260, _u15259, _u15258))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15266), _u15267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15266), hAPP(hAPP(c_Finite__Set_Ofold(_u15266, _u15266, c_Orderings_Oord__class_Omax(_u15266)), _u15269), _u15267)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15266), _u15268), _u15269))) | hBOOL(hAPP(hAPP(c_member(_u15266), skolem389(_u15269, _u15268, _u15267, _u15266)), _u15267)) )).
% 12.21/12.41 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15266), _u15267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15266), hAPP(hAPP(c_Finite__Set_Ofold(_u15266, _u15266, c_Orderings_Oord__class_Omax(_u15266)), _u15269), _u15267)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15266), _u15268), _u15269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15266), skolem389(_u15269, _u15268, _u15267, _u15266)), _u15268)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u15271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15271), _u15272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15271), _u15273), _u15274)), hAPP(hAPP(c_Finite__Set_Ofold(_u15271, _u15271, c_Orderings_Oord__class_Omin(_u15271)), _u15274), _u15272))) | hBOOL(hAPP(hAPP(c_member(_u15271), skolem390(_u15274, _u15273, _u15272, _u15271)), _u15272)) )).
% 12.21/12.41 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u15271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15271), _u15272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15271), _u15273), _u15274)), hAPP(hAPP(c_Finite__Set_Ofold(_u15271, _u15271, c_Orderings_Oord__class_Omin(_u15271)), _u15274), _u15272))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), _u15273), skolem390(_u15274, _u15273, _u15272, _u15271))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_InterI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15278), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15276, tc_HOL_Obool), _u15277))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15276, tc_HOL_Obool)), skolem391(_u15278, _u15277, _u15276)), _u15277)) )).
% 12.21/12.41 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15278), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15276, tc_HOL_Obool), _u15277))) | ~hBOOL(hAPP(hAPP(c_member(_u15276), _u15278), skolem391(_u15278, _u15277, _u15276))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15280), _u15282), _u15283)), hAPP(hAPP(c_Finite__Set_Ofold(_u15280, _u15280, c_Lattices_Osemilattice__inf__class_Oinf(_u15280)), _u15283), _u15281))) | hBOOL(hAPP(hAPP(c_member(_u15280), skolem392(_u15283, _u15282, _u15281, _u15280)), _u15281)) )).
% 12.21/12.41 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15280), _u15282), _u15283)), hAPP(hAPP(c_Finite__Set_Ofold(_u15280, _u15280, c_Lattices_Osemilattice__inf__class_Oinf(_u15280)), _u15283), _u15281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), _u15282), skolem392(_u15283, _u15282, _u15281, _u15280))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u15285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15285), _u15286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15285), hAPP(hAPP(c_Finite__Set_Ofold(_u15285, _u15285, c_Lattices_Osemilattice__sup__class_Osup(_u15285)), _u15288), _u15286)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15285), _u15287), _u15288))) | hBOOL(hAPP(hAPP(c_member(_u15285), skolem393(_u15288, _u15287, _u15286, _u15285)), _u15286)) )).
% 12.21/12.41 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u15285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15285), _u15286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15285), hAPP(hAPP(c_Finite__Set_Ofold(_u15285, _u15285, c_Lattices_Osemilattice__sup__class_Osup(_u15285)), _u15288), _u15286)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15285), _u15287), _u15288))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15285), skolem393(_u15288, _u15287, _u15286, _u15285)), _u15287)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u15289) | ( _u15290 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15289), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15289), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u15289), _u15290), _u15291)), _u15291)), c_Divides_Odiv__class_Omod(_u15289, _u15290, _u15291))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u15302, _u15304) | ~hBOOL(hAPP(hAPP(c_member(_u15302), _u15292), _u15295)) | hBOOL(hAPP(hAPP(c_member(_u15302), skolem394(_u15304, _u15302, _u15295)), _u15295)) )).
% 12.21/12.41 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u15302, _u15304) | ~hBOOL(hAPP(hAPP(c_member(_u15302), _u15292), _u15295)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15302, _u15302)), hAPP(hAPP(c_Product__Type_OPair(_u15302, _u15302), _u15293), skolem394(_u15304, _u15302, _u15295))), _u15304)) | ~hBOOL(hAPP(hAPP(c_member(_u15302), _u15293), _u15295)) )).
% 12.21/12.41 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u15303, _u15305) | hBOOL(hAPP(hAPP(c_member(_u15303), skolem396(_u15305, _u15303)), skolem395(_u15305, _u15303))) )).
% 12.21/12.41 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u15303, _u15305) | ~hBOOL(hAPP(hAPP(c_member(_u15303), _u15298), skolem395(_u15305, _u15303))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15303, _u15303)), hAPP(hAPP(c_Product__Type_OPair(_u15303, _u15303), skolem397(_u15305, _u15303, _u15298)), _u15298)), _u15305)) )).
% 12.21/12.41 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u15303, _u15305) | ~hBOOL(hAPP(hAPP(c_member(_u15303), _u15298), skolem395(_u15305, _u15303))) | hBOOL(hAPP(hAPP(c_member(_u15303), skolem397(_u15305, _u15303, _u15298)), skolem395(_u15305, _u15303))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15307), _u15312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15307), _u15313)) | ( hAPP(_u15311, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15307, tc_HOL_Obool)), _u15312), _u15313)) = hAPP(hAPP(_u15308, hAPP(_u15311, _u15312)), hAPP(_u15311, _u15313))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15306, _u15307, _u15308, _u15309, _u15310, _u15311) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u15316, _u15320), _u15320) = _u15320) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15314, _u15315, _u15316, _u15317, _u15318, _u15319) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15322), _u15327)) | ~hBOOL(hAPP(hAPP(c_member(_u15322), _u15328), _u15327)) | ( hAPP(hAPP(_u15323, hAPP(_u15325, _u15328)), hAPP(_u15326, _u15327)) = hAPP(_u15326, _u15327)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15321, _u15322, _u15323, _u15324, _u15325, _u15326) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15330), _u15335)) | ( hAPP(_u15334, hAPP(hAPP(c_Set_Oinsert(_u15330), _u15336), _u15335)) = hAPP(hAPP(_u15331, hAPP(_u15333, _u15336)), hAPP(_u15334, _u15335))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15329, _u15330, _u15331, _u15332, _u15333, _u15334) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15338), _u15343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15338, tc_HOL_Obool)), _u15344), _u15343)) | ( hAPP(hAPP(_u15339, hAPP(_u15342, _u15344)), hAPP(_u15342, _u15343)) = hAPP(_u15342, _u15343)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15337, _u15338, _u15339, _u15340, _u15341, _u15342) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 12.21/12.41 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)))), _u15346)) = 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)))), _u15347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem398(_u15347, _u15346))) )).
% 12.21/12.41 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)))), _u15346)) = 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)))), _u15347))) | hBOOL(hAPP(_u15346, skolem398(_u15347, _u15346))) | hBOOL(hAPP(_u15347, skolem398(_u15347, _u15346))) )).
% 12.21/12.41 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)))), _u15346)) = 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)))), _u15347))) | ~hBOOL(hAPP(_u15347, skolem398(_u15347, _u15346))) | ~hBOOL(hAPP(_u15346, skolem398(_u15347, _u15346))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15349), _u15350), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15349, tc_HOL_Obool), _u15351))) | hBOOL(hAPP(hAPP(c_member(_u15349), _u15350), skolem399(_u15351, _u15350, _u15349))) )).
% 12.21/12.41 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15349), _u15350), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15349, tc_HOL_Obool), _u15351))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15349, tc_HOL_Obool)), skolem399(_u15351, _u15350, _u15349)), _u15351)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__upd__left ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__upd__left-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15352), _u15353), c_Map_Odom(_u15352, _u15354, _u15355))) | ( c_Map_Omap__add(_u15352, _u15354, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15352, tc_Option_Ooption(_u15354)), _u15356), _u15353), hAPP(c_Option_Ooption_OSome(_u15354), _u15357)), _u15355) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15352, tc_Option_Ooption(_u15354)), c_Map_Omap__add(_u15352, _u15354, _u15356, _u15355)), _u15353), hAPP(c_Option_Ooption_OSome(_u15354), _u15357))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_converseE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15360, _u15361)), _u15362), hAPP(c_Relation_Oconverse(_u15361, _u15360), _u15363))) | ( _u15362 = hAPP(hAPP(c_Product__Type_OPair(_u15360, _u15361), skolem401(_u15363, _u15362, _u15361, _u15360)), skolem400(_u15363, _u15362, _u15361, _u15360))) )).
% 12.21/12.41 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15360, _u15361)), _u15362), hAPP(c_Relation_Oconverse(_u15361, _u15360), _u15363))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15361, _u15360)), hAPP(hAPP(c_Product__Type_OPair(_u15361, _u15360), skolem400(_u15363, _u15362, _u15361, _u15360)), skolem401(_u15363, _u15362, _u15361, _u15360))), _u15363)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_empty__map__add ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_empty__map__add-1, axiom, ( ( c_Map_Omap__add(_u15364, _u15365, hAPP(c_COMBK(tc_Option_Ooption(_u15365), _u15364), c_Option_Ooption_ONone(_u15365)), _u15366) = _u15366) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__empty-1, axiom, ( ( c_Map_Omap__add(_u15367, _u15368, _u15369, hAPP(c_COMBK(tc_Option_Ooption(_u15368), _u15367), c_Option_Ooption_ONone(_u15368))) = _u15369) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__def-1, axiom, ( ( hAPP(c_Map_Omap__add(_u15370, _u15371, _u15372, _u15373), _u15374) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15371), _u15371, hAPP(_u15372, _u15374), c_Option_Ooption_OSome(_u15371)), hAPP(_u15373, _u15374))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__None ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__None-1, axiom, ( ( hAPP(c_Map_Omap__add(_u15380, _u15382, _u15384, _u15386), _u15388) != c_Option_Ooption_ONone(_u15382)) | ( hAPP(_u15386, _u15388) = c_Option_Ooption_ONone(_u15382)) )).
% 12.21/12.41 cnf(fact_map__add__None-2, axiom, ( ( hAPP(c_Map_Omap__add(_u15380, _u15382, _u15384, _u15386), _u15388) != c_Option_Ooption_ONone(_u15382)) | ( hAPP(_u15384, _u15388) = c_Option_Ooption_ONone(_u15382)) )).
% 12.21/12.41 cnf(fact_map__add__None-3, axiom, ( ( hAPP(_u15387, _u15389) != c_Option_Ooption_ONone(_u15383)) | ( hAPP(_u15385, _u15389) != c_Option_Ooption_ONone(_u15383)) | ( hAPP(c_Map_Omap__add(_u15381, _u15383, _u15385, _u15387), _u15389) = c_Option_Ooption_ONone(_u15383)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__find__right ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__find__right-1, axiom, ( ( hAPP(_u15390, _u15391) != hAPP(c_Option_Ooption_OSome(_u15392), _u15393)) | ( hAPP(c_Map_Omap__add(_u15394, _u15392, _u15395, _u15390), _u15391) = hAPP(c_Option_Ooption_OSome(_u15392), _u15393)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__assoc ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__assoc-1, axiom, ( ( c_Map_Omap__add(_u15396, _u15397, _u15398, c_Map_Omap__add(_u15396, _u15397, _u15399, _u15400)) = c_Map_Omap__add(_u15396, _u15397, c_Map_Omap__add(_u15396, _u15397, _u15398, _u15399), _u15400)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__dom__app__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__dom__app__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15401), _u15402), c_Map_Odom(_u15401, _u15403, _u15404))) | ( hAPP(c_Map_Omap__add(_u15401, _u15403, _u15405, _u15404), _u15402) = hAPP(_u15404, _u15402)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__dom__app__simps_I3_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__dom__app__simps_I3_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15406), _u15407), c_Map_Odom(_u15406, _u15408, _u15409))) | ( hAPP(c_Map_Omap__add(_u15406, _u15408, _u15410, _u15409), _u15407) = hAPP(_u15410, _u15407)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__dom__app__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__dom__app__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15411), _u15412), c_Map_Odom(_u15411, _u15413, _u15414))) | ( hAPP(c_Map_Omap__add(_u15411, _u15413, _u15414, _u15415), _u15412) = hAPP(_u15415, _u15412)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__SomeD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__add(_u15416, _u15417, _u15418, _u15419), _u15420) != hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15419, _u15420) = hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15419, _u15420) = c_Option_Ooption_ONone(_u15417)) )).
% 12.21/12.41 cnf(fact_map__add__SomeD-2, axiom, ( ( hAPP(c_Map_Omap__add(_u15416, _u15417, _u15418, _u15419), _u15420) != hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15419, _u15420) = hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15418, _u15420) = hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__Some__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__Some__iff-1, axiom, ( ( hAPP(c_Map_Omap__add(_u15428, _u15430, _u15432, _u15434), _u15436) != hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15434, _u15436) = hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15434, _u15436) = c_Option_Ooption_ONone(_u15430)) )).
% 12.21/12.41 cnf(fact_map__add__Some__iff-2, axiom, ( ( hAPP(c_Map_Omap__add(_u15428, _u15430, _u15432, _u15434), _u15436) != hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15434, _u15436) = hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15432, _u15436) = hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) )).
% 12.21/12.41 cnf(fact_map__add__Some__iff-3, axiom, ( ( hAPP(c_Map_Omap__add(_u15429, _u15431, _u15433, _u15435), _u15437) = hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) | ( hAPP(_u15435, _u15437) != hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) )).
% 12.21/12.41 cnf(fact_map__add__Some__iff-4, axiom, ( ( hAPP(c_Map_Omap__add(_u15429, _u15431, _u15433, _u15435), _u15437) = hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) | ( hAPP(_u15435, _u15437) != c_Option_Ooption_ONone(_u15431)) | ( hAPP(_u15433, _u15437) != hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_dom__map__add ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_dom__map__add-1, axiom, ( ( c_Map_Odom(_u15440, _u15441, c_Map_Omap__add(_u15440, _u15441, _u15442, _u15443)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15440, tc_HOL_Obool)), c_Map_Odom(_u15440, _u15441, _u15443)), c_Map_Odom(_u15440, _u15441, _u15442))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__upd ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__upd-1, axiom, ( ( c_Map_Omap__add(_u15444, _u15445, _u15446, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15444, tc_Option_Ooption(_u15445)), _u15447), _u15448), hAPP(c_Option_Ooption_OSome(_u15445), _u15449))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15444, tc_Option_Ooption(_u15445)), c_Map_Omap__add(_u15444, _u15445, _u15446, _u15447)), _u15448), hAPP(c_Option_Ooption_OSome(_u15445), _u15449))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__map__add__dom ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__on__map__add__dom-1, axiom, ( ~c_Fun_Oinj__on(_u15454, tc_Option_Ooption(_u15456), c_Map_Omap__add(_u15454, _u15456, _u15458, _u15460), c_Map_Odom(_u15454, _u15456, _u15460)) | c_Fun_Oinj__on(_u15454, tc_Option_Ooption(_u15456), _u15460, c_Map_Odom(_u15454, _u15456, _u15460)) )).
% 12.21/12.41 cnf(fact_inj__on__map__add__dom-2, axiom, ( ~c_Fun_Oinj__on(_u15455, tc_Option_Ooption(_u15457), _u15461, c_Map_Odom(_u15455, _u15457, _u15461)) | c_Fun_Oinj__on(_u15455, tc_Option_Ooption(_u15457), c_Map_Omap__add(_u15455, _u15457, _u15459, _u15461), c_Map_Odom(_u15455, _u15457, _u15461)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__comm ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__comm-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15462, tc_HOL_Obool)), c_Map_Odom(_u15462, _u15463, _u15464)), c_Map_Odom(_u15462, _u15463, _u15465)) != c_Orderings_Obot__class_Obot(tc_fun(_u15462, tc_HOL_Obool))) | ( c_Map_Omap__add(_u15462, _u15463, _u15464, _u15465) = c_Map_Omap__add(_u15462, _u15463, _u15465, _u15464)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__range__map__of__map__add ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__range__map__of__map__add-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u15466)), hAPP(c_Set_Oimage(_u15467, tc_Option_Ooption(_u15466), _u15468), c_Orderings_Otop__class_Otop(tc_fun(_u15467, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u15466)), hAPP(c_Set_Oimage(_u15467, tc_Option_Ooption(_u15466), c_Map_Omap__add(_u15467, _u15466, _u15468, hAPP(c_Map_Omap__of(_u15467, _u15466), _u15469))), c_Orderings_Otop__class_Otop(tc_fun(_u15467, tc_HOL_Obool))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15474)), _u15475), hAPP(hAPP(c_Relation_Orel__comp(_u15473, _u15476, _u15474), _u15477), _u15478))) | ( _u15475 = hAPP(hAPP(c_Product__Type_OPair(_u15473, _u15474), skolem402(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473)), skolem404(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473))) )).
% 12.21/12.41 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15474)), _u15475), hAPP(hAPP(c_Relation_Orel__comp(_u15473, _u15476, _u15474), _u15477), _u15478))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15476)), hAPP(hAPP(c_Product__Type_OPair(_u15473, _u15476), skolem402(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473)), skolem403(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473))), _u15477)) )).
% 12.21/12.41 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15474)), _u15475), hAPP(hAPP(c_Relation_Orel__comp(_u15473, _u15476, _u15474), _u15477), _u15478))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15476, _u15474)), hAPP(hAPP(c_Product__Type_OPair(_u15476, _u15474), skolem403(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473)), skolem404(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473))), _u15478)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__dom__map__of ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__dom__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15479), c_Map_Odom(_u15479, _u15480, hAPP(c_Map_Omap__of(_u15479, _u15480), _u15481)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__range__map__of ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__range__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u15482)), hAPP(c_Set_Oimage(_u15483, tc_Option_Ooption(_u15482), hAPP(c_Map_Omap__of(_u15483, _u15482), _u15484)), c_Orderings_Otop__class_Otop(tc_fun(_u15483, tc_HOL_Obool))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__add__map__of__foldr ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__add__map__of__foldr-1, axiom, ( ( c_Map_Omap__add(_u15485, _u15486, _u15487, hAPP(c_Map_Omap__of(_u15485, _u15486), _u15488)) = c_List_Ofoldr(tc_prod(_u15485, _u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15485, _u15486, tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), hAPP(hAPP(c_COMBC(_u15485, tc_fun(_u15486, tc_Option_Ooption(_u15486)), tc_fun(_u15486, tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u15486), tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), tc_fun(tc_fun(_u15486, tc_Option_Ooption(_u15486)), tc_fun(_u15486, tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486))))), _u15485), c_COMBB(tc_Option_Ooption(_u15486), tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486))), _u15486)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(tc_Option_Ooption(_u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), tc_fun(tc_Option_Ooption(_u15486), tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), _u15485), c_COMBC(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_Option_Ooption(_u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), hAPP(c_COMBC(tc_fun(_u15485, tc_Option_Ooption(_u15486)), _u15485, tc_fun(tc_Option_Ooption(_u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), c_Fun_Ofun__upd(_u15485, tc_Option_Ooption(_u15486)))))), c_Option_Ooption_OSome(_u15486))), _u15488, _u15487)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_ ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_-1, axiom, ( ( c_Smallcheck_Oorelse(_u15489, _u15490, _u15491) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15489), _u15489, _u15491, c_Option_Ooption_OSome(_u15489)), _u15490)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_full__small__int__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_full__small__int__def-1, axiom, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u15492, _u15493) = c_Smallcheck_Ofull__small_H(_u15492, hAPP(c_Code__Numeral_Oint__of, _u15493), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u15493)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_small_H_Osimps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_small_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15497), _u15499)) | ( c_Smallcheck_Osmall_H(_u15501, _u15497, _u15499) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.21/12.41 cnf(fact_small_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15498), _u15500)) | ( c_Smallcheck_Osmall_H(_u15502, _u15498, _u15500) = 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(_u15502, _u15498, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15500), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u15502, _u15500))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_small_H_Opsimps ( axiom ) converted to clauses:
% 12.21/12.41 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)), _u15503), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15504), _u15505)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15504), _u15505)) | ( c_Smallcheck_Osmall_H(_u15503, _u15504, _u15505) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.21/12.41 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)), _u15503), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15504), _u15505)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15504), _u15505)) | ( c_Smallcheck_Osmall_H(_u15503, _u15504, _u15505) = 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(_u15503, _u15504, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15505), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u15503, _u15505))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_small__int__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_small__int__def-1, axiom, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u15506), _u15507) = c_Smallcheck_Osmall_H(_u15506, hAPP(c_Code__Numeral_Oint__of, _u15507), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u15507)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_small__prod__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_small__prod__def-1, axiom, ( ~class_Smallcheck_Osmall(_u15508) | ~class_Smallcheck_Osmall(_u15509) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u15509, _u15508)), _u15510), _u15511) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u15509), hAPP(hAPP(c_COMBC(_u15509, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u15508, 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))), _u15509), c_Smallcheck_Osmall__class_Osmall(_u15508)), hAPP(hAPP(c_COMBB(tc_fun(_u15508, tc_prod(_u15509, _u15508)), tc_fun(_u15508, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u15509), hAPP(c_COMBB(tc_prod(_u15509, _u15508), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u15508), _u15510)), c_Product__Type_OPair(_u15509, _u15508)))), _u15511)), _u15511)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_small_H_Opinduct ( axiom ) converted to clauses:
% 12.21/12.41 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)), _u15515), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15516), _u15517)))) | hBOOL(hAPP(hAPP(hAPP(_u15518, _u15515), _u15516), _u15517)) | 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)), skolem405(_u15518, _u15517, _u15516, _u15515)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem406(_u15518, _u15517, _u15516, _u15515)), skolem407(_u15518, _u15517, _u15516, _u15515))))) )).
% 12.21/12.41 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)), _u15515), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15516), _u15517)))) | hBOOL(hAPP(hAPP(hAPP(_u15518, _u15515), _u15516), _u15517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem406(_u15518, _u15517, _u15516, _u15515)), skolem407(_u15518, _u15517, _u15516, _u15515))) | ( hAPP(skolem405(_u15518, _u15517, _u15516, _u15515), skolem407(_u15518, _u15517, _u15516, _u15515)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u15518, skolem405(_u15518, _u15517, _u15516, _u15515)), skolem406(_u15518, _u15517, _u15516, _u15515)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem407(_u15518, _u15517, _u15516, _u15515)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.41 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)), _u15515), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15516), _u15517)))) | hBOOL(hAPP(hAPP(hAPP(_u15518, _u15515), _u15516), _u15517)) | ~hBOOL(hAPP(hAPP(hAPP(_u15518, skolem405(_u15518, _u15517, _u15516, _u15515)), skolem406(_u15518, _u15517, _u15516, _u15515)), skolem407(_u15518, _u15517, _u15516, _u15515))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__mapk__SomeI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__mapk__SomeI-1, axiom, ( ~c_Fun_Oinj__on(_u15519, _u15520, _u15521, c_Orderings_Otop__class_Otop(tc_fun(_u15519, tc_HOL_Obool))) | ( hAPP(hAPP(c_Map_Omap__of(_u15519, _u15522), _u15523), _u15524) != hAPP(c_Option_Ooption_OSome(_u15522), _u15525)) | ( hAPP(hAPP(c_Map_Omap__of(_u15520, _u15522), hAPP(hAPP(c_List_Omap(tc_prod(_u15519, _u15522), tc_prod(_u15520, _u15522)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15519, _u15522, tc_prod(_u15520, _u15522)), hAPP(hAPP(c_COMBB(_u15520, tc_fun(_u15522, tc_prod(_u15520, _u15522)), _u15519), c_Product__Type_OPair(_u15520, _u15522)), _u15521))), _u15523)), hAPP(_u15521, _u15524)) = hAPP(c_Option_Ooption_OSome(_u15522), _u15525)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u15526, _u15527, _u15528, c_Orderings_Otop__class_Otop(tc_fun(_u15526, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15526), tc_List_Olist(_u15527), hAPP(c_List_Omap(_u15526, _u15527), _u15528), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15526), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u15529, _u15530, _u15531, hAPP(hAPP(c_List_Omap(_u15532, _u15529), _u15533), _u15534), _u15535) = c_List_Ofoldr(_u15532, _u15530, hAPP(c_Fun_Ocomp(_u15529, tc_fun(_u15530, _u15530), _u15532, _u15531), _u15533), _u15534, _u15535)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15536, _u15537), _u15538), hAPP(hAPP(c_List_Omap(_u15539, _u15536), _u15540), _u15541)) = hAPP(hAPP(c_List_Omap(_u15539, _u15537), hAPP(c_Fun_Ocomp(_u15536, _u15537, _u15539, _u15538), _u15540)), _u15541)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15542, _u15543), _u15544), hAPP(hAPP(c_List_Omap(_u15545, _u15542), _u15546), _u15547)) = hAPP(hAPP(c_List_Omap(_u15545, _u15543), hAPP(c_Fun_Ocomp(_u15542, _u15543, _u15545, _u15544), _u15546)), _u15547)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15548), tc_List_Olist(_u15549), tc_List_Olist(_u15550), hAPP(c_List_Omap(_u15548, _u15549), _u15551)), hAPP(c_List_Omap(_u15550, _u15548), _u15552)) = hAPP(c_List_Omap(_u15550, _u15549), hAPP(c_Fun_Ocomp(_u15548, _u15549, _u15550, _u15551), _u15552))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15553), tc_List_Olist(_u15554), tc_List_Olist(_u15555), hAPP(c_List_Omap(_u15553, _u15554), _u15556)), hAPP(c_List_Omap(_u15555, _u15553), _u15557)) = hAPP(c_List_Omap(_u15555, _u15554), hAPP(c_Fun_Ocomp(_u15553, _u15554, _u15555, _u15556), _u15557))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u15558, _u15558), c_Fun_Oid(_u15558)) = c_Fun_Oid(tc_List_Olist(_u15558))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u15559, _u15559), c_COMBI(_u15559)) = c_Fun_Oid(tc_List_Olist(_u15559))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15560, _u15560), c_COMBI(_u15560)), _u15561) = _u15561) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15562, _u15563), _u15564), _u15565) != hAPP(hAPP(c_List_Omap(_u15562, _u15563), _u15564), _u15566)) | ~c_Fun_Oinj__on(_u15562, _u15563, _u15564, c_Orderings_Otop__class_Otop(tc_fun(_u15562, tc_HOL_Obool))) | ( _u15565 = _u15566) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u15567), tc_List_Olist(_u15568), hAPP(c_List_Omap(_u15567, _u15568), _u15569), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15567), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15567, _u15568, _u15569, c_Orderings_Otop__class_Otop(tc_fun(_u15567, tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u15570, _u15571, _u15572, c_Orderings_Otop__class_Otop(tc_fun(_u15570, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15573) != hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15574)) | ( _u15573 = _u15574) )).
% 12.21/12.41 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u15570, _u15571, _u15572, c_Orderings_Otop__class_Otop(tc_fun(_u15570, tc_HOL_Obool))) | ( _u15573 != _u15574) | ( hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15573) = hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15574)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u15578), tc_List_Olist(_u15580), hAPP(c_List_Omap(_u15578, _u15580), _u15582), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15578), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15578, _u15580, _u15582, c_Orderings_Otop__class_Otop(tc_fun(_u15578, tc_HOL_Obool))) )).
% 12.21/12.41 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u15579, _u15581, _u15583, c_Orderings_Otop__class_Otop(tc_fun(_u15579, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15579), tc_List_Olist(_u15581), hAPP(c_List_Omap(_u15579, _u15581), _u15583), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15579), tc_HOL_Obool))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__map-1, axiom, ( ( hAPP(c_Map_Omap__of(_u15584, _u15585), hAPP(hAPP(c_List_Omap(tc_prod(_u15584, _u15586), tc_prod(_u15584, _u15585)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15584, _u15586, tc_prod(_u15584, _u15585)), hAPP(hAPP(c_COMBC(_u15584, tc_fun(_u15586, _u15585), tc_fun(_u15586, tc_prod(_u15584, _u15585))), hAPP(hAPP(c_COMBB(tc_fun(_u15585, tc_prod(_u15584, _u15585)), tc_fun(tc_fun(_u15586, _u15585), tc_fun(_u15586, tc_prod(_u15584, _u15585))), _u15584), c_COMBB(_u15585, tc_prod(_u15584, _u15585), _u15586)), c_Product__Type_OPair(_u15584, _u15585))), _u15587))), _u15588)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15586), tc_Option_Ooption(_u15585), _u15584, hAPP(c_Option_Omap(_u15586, _u15585), _u15587)), hAPP(c_Map_Omap__of(_u15584, _u15586), _u15588))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__def-1, axiom, ( ( c_Map_Omap__comp(_u15589, _u15590, _u15591, _u15592, _u15593, _u15594) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15590), _u15589, c_Option_Ooption_ONone(_u15590), _u15592), hAPP(_u15593, _u15594))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__o__empty ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__o__empty-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15595), tc_Option_Ooption(_u15596), _u15597, hAPP(c_Option_Omap(_u15595, _u15596), _u15598)), hAPP(c_COMBK(tc_Option_Ooption(_u15595), _u15597), c_Option_Ooption_ONone(_u15595))), _u15599) = c_Option_Ooption_ONone(_u15596)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__eq__Some ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__eq__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15607, _u15609), _u15611), _u15613) != hAPP(c_Option_Ooption_OSome(_u15609), _u15615)) | ( _u15613 = hAPP(c_Option_Ooption_OSome(_u15607), skolem408(_u15615, _u15613, _u15611, _u15609, _u15607))) )).
% 12.21/12.41 cnf(fact_option__map__eq__Some-2, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15607, _u15609), _u15611), _u15613) != hAPP(c_Option_Ooption_OSome(_u15609), _u15615)) | ( hAPP(_u15611, skolem408(_u15615, _u15613, _u15611, _u15609, _u15607)) = _u15615) )).
% 12.21/12.41 cnf(fact_option__map__eq__Some-3, axiom, ( ( _u15614 != hAPP(c_Option_Ooption_OSome(_u15608), _u15601)) | ( hAPP(_u15612, _u15601) != _u15616) | ( hAPP(hAPP(c_Option_Omap(_u15608, _u15610), _u15612), _u15614) = hAPP(c_Option_Ooption_OSome(_u15610), _u15616)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__Some ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15617, _u15618), _u15619), hAPP(c_Option_Ooption_OSome(_u15617), _u15620)) = hAPP(c_Option_Ooption_OSome(_u15618), hAPP(_u15619, _u15620))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__is__None ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__is__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15625, _u15627), _u15629), _u15631) != c_Option_Ooption_ONone(_u15627)) | ( _u15631 = c_Option_Ooption_ONone(_u15625)) )).
% 12.21/12.41 cnf(fact_option__map__is__None-2, axiom, ( ( _u15632 != c_Option_Ooption_ONone(_u15626)) | ( hAPP(hAPP(c_Option_Omap(_u15626, _u15628), _u15630), _u15632) = c_Option_Ooption_ONone(_u15628)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__None ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15633, _u15634), _u15635), c_Option_Ooption_ONone(_u15633)) = c_Option_Ooption_ONone(_u15634)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15636)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15636), tc_HOL_Obool)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_dom__option__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_dom__option__map-1, axiom, ( ( c_Map_Odom(_u15637, _u15638, hAPP(hAPP(c_COMBS(_u15637, tc_Option_Ooption(_u15639), tc_Option_Ooption(_u15638)), hAPP(hAPP(c_COMBB(tc_fun(_u15639, _u15638), tc_fun(tc_Option_Ooption(_u15639), tc_Option_Ooption(_u15638)), _u15637), c_Option_Omap(_u15639, _u15638)), _u15640)), _u15641)) = c_Map_Odom(_u15637, _u15639, _u15641)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Option_Omap_Oid ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Option_Omap_Oid-1, axiom, ( ( hAPP(c_Option_Omap(_u15642, _u15642), c_Fun_Oid(_u15642)) = c_Fun_Oid(tc_Option_Ooption(_u15642))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Option_Omap_Oidentity ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Option_Omap_Oidentity-1, axiom, ( ( hAPP(c_Option_Omap(_u15643, _u15643), c_COMBI(_u15643)) = c_Fun_Oid(tc_Option_Ooption(_u15643))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__comp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__comp-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15644, _u15645), _u15646), hAPP(hAPP(c_Option_Omap(_u15647, _u15644), _u15648), _u15649)) = hAPP(hAPP(c_Option_Omap(_u15647, _u15645), hAPP(c_Fun_Ocomp(_u15644, _u15645, _u15647, _u15646), _u15648)), _u15649)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Option_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Option_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u15650, _u15651), _u15652), hAPP(hAPP(c_Option_Omap(_u15653, _u15650), _u15654), _u15655)) = hAPP(hAPP(c_Option_Omap(_u15653, _u15651), hAPP(c_Fun_Ocomp(_u15650, _u15651, _u15653, _u15652), _u15654)), _u15655)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Option_Omap_Ocomp ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Option_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15656), tc_Option_Ooption(_u15657), tc_Option_Ooption(_u15658), hAPP(c_Option_Omap(_u15656, _u15657), _u15659)), hAPP(c_Option_Omap(_u15658, _u15656), _u15660)) = hAPP(c_Option_Omap(_u15658, _u15657), hAPP(c_Fun_Ocomp(_u15656, _u15657, _u15658, _u15659), _u15660))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__simps_I1_J-1, axiom, ( ( hAPP(_u15661, _u15662) != c_Option_Ooption_ONone(_u15663)) | ( c_Map_Omap__comp(_u15663, _u15664, _u15665, _u15666, _u15661, _u15662) = c_Option_Ooption_ONone(_u15664)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__Some__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__Some__iff-1, axiom, ( ( c_Map_Omap__comp(_u15676, _u15678, _u15680, _u15682, _u15684, _u15686) != hAPP(c_Option_Ooption_OSome(_u15678), _u15688)) | ( hAPP(_u15684, _u15686) = hAPP(c_Option_Ooption_OSome(_u15676), skolem409(_u15688, _u15686, _u15684, _u15682, _u15680, _u15678, _u15676))) )).
% 12.21/12.41 cnf(fact_map__comp__Some__iff-2, axiom, ( ( c_Map_Omap__comp(_u15676, _u15678, _u15680, _u15682, _u15684, _u15686) != hAPP(c_Option_Ooption_OSome(_u15678), _u15688)) | ( hAPP(_u15682, skolem409(_u15688, _u15686, _u15684, _u15682, _u15680, _u15678, _u15676)) = hAPP(c_Option_Ooption_OSome(_u15678), _u15688)) )).
% 12.21/12.41 cnf(fact_map__comp__Some__iff-3, axiom, ( ( hAPP(_u15685, _u15687) != hAPP(c_Option_Ooption_OSome(_u15677), _u15668)) | ( hAPP(_u15683, _u15668) != hAPP(c_Option_Ooption_OSome(_u15679), _u15689)) | ( c_Map_Omap__comp(_u15677, _u15679, _u15681, _u15683, _u15685, _u15687) = hAPP(c_Option_Ooption_OSome(_u15679), _u15689)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__simps_I2_J-1, axiom, ( ( hAPP(_u15690, _u15691) != hAPP(c_Option_Ooption_OSome(_u15692), _u15693)) | ( c_Map_Omap__comp(_u15692, _u15694, _u15695, _u15696, _u15690, _u15691) = hAPP(_u15696, _u15693)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_option__map__o__map__upd ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_option__map__o__map__upd-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15697), tc_Option_Ooption(_u15698), _u15699, hAPP(c_Option_Omap(_u15697, _u15698), _u15700)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15699, tc_Option_Ooption(_u15697)), _u15701), _u15702), hAPP(c_Option_Ooption_OSome(_u15697), _u15703))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15699, tc_Option_Ooption(_u15698)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15697), tc_Option_Ooption(_u15698), _u15699, hAPP(c_Option_Omap(_u15697, _u15698), _u15700)), _u15701)), _u15702), hAPP(c_Option_Ooption_OSome(_u15698), hAPP(_u15700, _u15703)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__empty_I1_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__empty_I1_J-1, axiom, ( ( c_Map_Omap__comp(_u15704, _u15705, _u15706, _u15707, hAPP(c_COMBK(tc_Option_Ooption(_u15704), _u15706), c_Option_Ooption_ONone(_u15704)), _u15708) = c_Option_Ooption_ONone(_u15705)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__empty_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__empty_I2_J-1, axiom, ( ( c_Map_Omap__comp(_u15709, _u15710, _u15711, hAPP(c_COMBK(tc_Option_Ooption(_u15710), _u15709), c_Option_Ooption_ONone(_u15710)), _u15712, _u15713) = c_Option_Ooption_ONone(_u15710)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__comp__None__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__comp__None__iff-1, axiom, ( ( c_Map_Omap__comp(_u15722, _u15724, _u15726, _u15728, _u15730, _u15732) != c_Option_Ooption_ONone(_u15724)) | ( hAPP(_u15730, _u15732) = c_Option_Ooption_ONone(_u15722)) | ( hAPP(_u15730, _u15732) = hAPP(c_Option_Ooption_OSome(_u15722), skolem410(_u15732, _u15730, _u15728, _u15726, _u15724, _u15722))) )).
% 12.21/12.41 cnf(fact_map__comp__None__iff-2, axiom, ( ( c_Map_Omap__comp(_u15722, _u15724, _u15726, _u15728, _u15730, _u15732) != c_Option_Ooption_ONone(_u15724)) | ( hAPP(_u15730, _u15732) = c_Option_Ooption_ONone(_u15722)) | ( hAPP(_u15728, skolem410(_u15732, _u15730, _u15728, _u15726, _u15724, _u15722)) = c_Option_Ooption_ONone(_u15724)) )).
% 12.21/12.41 cnf(fact_map__comp__None__iff-3, axiom, ( ( c_Map_Omap__comp(_u15723, _u15725, _u15727, _u15729, _u15731, _u15733) = c_Option_Ooption_ONone(_u15725)) | ( hAPP(_u15731, _u15733) != c_Option_Ooption_ONone(_u15723)) )).
% 12.21/12.41 cnf(fact_map__comp__None__iff-4, axiom, ( ( c_Map_Omap__comp(_u15723, _u15725, _u15727, _u15729, _u15731, _u15733) = c_Option_Ooption_ONone(_u15725)) | ( hAPP(_u15731, _u15733) != hAPP(c_Option_Ooption_OSome(_u15723), _u15715)) | ( hAPP(_u15729, _u15715) != c_Option_Ooption_ONone(_u15725)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Option_Omap__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Option_Omap__def-1, axiom, ( ( hAPP(c_Option_Omap(_u15734, _u15735), _u15736) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15735), _u15734, c_Option_Ooption_ONone(_u15735), hAPP(hAPP(c_COMBB(_u15735, tc_Option_Ooption(_u15735), _u15734), c_Option_Ooption_OSome(_u15735)), _u15736))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__map__restrict ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__map__restrict-1, axiom, ( ( hAPP(c_Map_Omap__of(_u15737, _u15738), hAPP(hAPP(c_List_Omap(_u15737, tc_prod(_u15737, _u15738)), hAPP(hAPP(c_COMBS(_u15737, _u15738, tc_prod(_u15737, _u15738)), c_Product__Type_OPair(_u15737, _u15738)), _u15739)), _u15740)) = c_Map_Orestrict__map(_u15737, _u15738, hAPP(c_Fun_Ocomp(_u15738, tc_Option_Ooption(_u15738), _u15737, c_Option_Ooption_OSome(_u15738)), _u15739), hAPP(c_List_Oset(_u15737), _u15740))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of_Osimps_I2_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u15741, _u15742), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15741, _u15742)), _u15743), _u15744)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15741, tc_Option_Ooption(_u15742)), hAPP(c_Map_Omap__of(_u15741, _u15742), _u15744)), hAPP(c_Product__Type_Ofst(_u15741, _u15742), _u15743)), hAPP(c_Option_Ooption_OSome(_u15742), hAPP(c_Product__Type_Osnd(_u15741, _u15742), _u15743)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15745), hAPP(c_List_Oset(_u15745), _u15746))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15754, _u15756), _u15758), _u15760) != hAPP(hAPP(c_List_Omap(_u15754, _u15756), _u15762), _u15760)) | ~hBOOL(hAPP(hAPP(c_member(_u15754), _u15747), hAPP(c_List_Oset(_u15754), _u15760))) | ( hAPP(_u15758, _u15747) = hAPP(_u15762, _u15747)) )).
% 12.21/12.41 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15759), _u15761) = hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15763), _u15761)) | hBOOL(hAPP(hAPP(c_member(_u15755), skolem411(_u15763, _u15761, _u15759, _u15757, _u15755)), hAPP(c_List_Oset(_u15755), _u15761))) )).
% 12.21/12.41 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15759), _u15761) = hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15763), _u15761)) | ( hAPP(_u15759, skolem411(_u15763, _u15761, _u15759, _u15757, _u15755)) != hAPP(_u15763, skolem411(_u15763, _u15761, _u15759, _u15757, _u15755))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15764, _u15765), _u15766), hAPP(hAPP(c_List_Olist_OCons(_u15764), _u15767), _u15768)) = hAPP(hAPP(c_List_Olist_OCons(_u15765), hAPP(_u15766, _u15767)), hAPP(hAPP(c_List_Omap(_u15764, _u15765), _u15766), _u15768))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u15769), hAPP(hAPP(c_List_Omap(_u15770, _u15769), _u15771), _u15772)) = hAPP(c_Set_Oimage(_u15770, _u15769, _u15771), hAPP(c_List_Oset(_u15770), _u15772))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u15773, _u15774, _u15775, hAPP(hAPP(c_List_Olist_OCons(_u15773), _u15776), _u15777), _u15778) = hAPP(hAPP(_u15775, _u15776), c_List_Ofoldr(_u15773, _u15774, _u15775, _u15777, _u15778))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15779), hAPP(hAPP(c_List_Olist_OCons(_u15779), _u15780), _u15781)) = hAPP(hAPP(c_Set_Oinsert(_u15779), _u15780), hAPP(c_List_Oset(_u15779), _u15781))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), _u15791) != hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15793), _u15795)) | ( _u15789 = _u15793) )).
% 12.21/12.41 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), _u15791) != hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15793), _u15795)) | ( _u15791 = _u15795) )).
% 12.21/12.41 cnf(fact_list_Oinject-3, axiom, ( ( _u15790 != _u15794) | ( _u15792 != _u15796) | ( hAPP(hAPP(c_List_Olist_OCons(_u15788), _u15790), _u15792) = hAPP(hAPP(c_List_Olist_OCons(_u15788), _u15794), _u15796)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15797), _u15798), _u15799) != _u15799) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_not__Cons__self-1, axiom, ( ( _u15800 != hAPP(hAPP(c_List_Olist_OCons(_u15801), _u15802), _u15800)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15803), _u15804), hAPP(c_List_Oset(_u15803), hAPP(hAPP(c_List_Olist_OCons(_u15803), _u15805), _u15806)))) | ( _u15804 = _u15805) | hBOOL(hAPP(hAPP(c_member(_u15803), _u15804), hAPP(c_List_Oset(_u15803), _u15806))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15807, tc_HOL_Obool)), hAPP(c_List_Oset(_u15807), _u15808)), hAPP(c_List_Oset(_u15807), hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15809), _u15808)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15810, _u15811), _u15812), _u15813) != hAPP(hAPP(c_List_Omap(_u15810, _u15811), _u15812), _u15814)) | ~c_Fun_Oinj__on(_u15810, _u15811, _u15812, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15810, tc_HOL_Obool)), hAPP(c_List_Oset(_u15810), _u15813)), hAPP(c_List_Oset(_u15810), _u15814))) | ( _u15813 = _u15814) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u15815, _u15816, _u15817, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15815, tc_HOL_Obool)), hAPP(c_List_Oset(_u15815), _u15818)), hAPP(c_List_Oset(_u15815), _u15819))) | ( hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15818) != hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15819)) | ( _u15818 = _u15819) )).
% 12.21/12.41 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u15815, _u15816, _u15817, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15815, tc_HOL_Obool)), hAPP(c_List_Oset(_u15815), _u15818)), hAPP(c_List_Oset(_u15815), _u15819))) | ( _u15818 != _u15819) | ( hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15818) = hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15819)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15820), _u15821), hAPP(c_List_Oset(_u15820), _u15822))) | ( hAPP(hAPP(c_List_Omap(_u15820, _u15823), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15820, _u15823), _u15824), _u15821), _u15825)), _u15822) = hAPP(hAPP(c_List_Omap(_u15820, _u15823), _u15824), _u15822)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__Cons__code_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__Cons__code_I2_J-1, axiom, ( ( _u15832 != _u15834) | ( hAPP(hAPP(c_Map_Omap__of(_u15836, _u15838), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15836, _u15838)), hAPP(hAPP(c_Product__Type_OPair(_u15836, _u15838), _u15832), _u15840)), _u15842)), _u15834) = hAPP(c_Option_Ooption_OSome(_u15838), _u15840)) )).
% 12.21/12.41 cnf(fact_map__of__Cons__code_I2_J-2, axiom, ( ( _u15833 = _u15835) | ( hAPP(hAPP(c_Map_Omap__of(_u15837, _u15839), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15837, _u15839)), hAPP(hAPP(c_Product__Type_OPair(_u15837, _u15839), _u15833), _u15841)), _u15843)), _u15835) = hAPP(hAPP(c_Map_Omap__of(_u15837, _u15839), _u15843), _u15835)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__eq__dom ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__eq__dom-1, axiom, ( ( hAPP(c_Map_Omap__of(_u15844, _u15845), _u15846) != hAPP(c_Map_Omap__of(_u15844, _u15845), _u15847)) | ( hAPP(c_Set_Oimage(tc_prod(_u15844, _u15845), _u15844, c_Product__Type_Ofst(_u15844, _u15845)), hAPP(c_List_Oset(tc_prod(_u15844, _u15845)), _u15846)) = hAPP(c_Set_Oimage(tc_prod(_u15844, _u15845), _u15844, c_Product__Type_Ofst(_u15844, _u15845)), hAPP(c_List_Oset(tc_prod(_u15844, _u15845)), _u15847))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__SomeD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__SomeD-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u15848, _u15849), _u15850), _u15851) != hAPP(c_Option_Ooption_OSome(_u15849), _u15852)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15848, _u15849)), hAPP(hAPP(c_Product__Type_OPair(_u15848, _u15849), _u15851), _u15852)), hAPP(c_List_Oset(tc_prod(_u15848, _u15849)), _u15850))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__is__SomeD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__is__SomeD-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u15853, _u15854), _u15855), _u15856) != hAPP(c_Option_Ooption_OSome(_u15854), _u15857)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15853, _u15854)), hAPP(hAPP(c_Product__Type_OPair(_u15853, _u15854), _u15856), _u15857)), hAPP(c_List_Oset(tc_prod(_u15853, _u15854)), _u15855))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_dom__map__of__conv__image__fst ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_dom__map__of__conv__image__fst-1, axiom, ( ( c_Map_Odom(_u15858, _u15859, hAPP(c_Map_Omap__of(_u15858, _u15859), _u15860)) = hAPP(c_Set_Oimage(tc_prod(_u15858, _u15859), _u15858, c_Product__Type_Ofst(_u15858, _u15859)), hAPP(c_List_Oset(tc_prod(_u15858, _u15859)), _u15860))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u15861, _u15862, _u15863, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15861, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u15861), tc_fun(_u15861, tc_HOL_Obool), c_List_Oset(_u15861)), _u15864))) | c_Fun_Oinj__on(tc_List_Olist(_u15861), tc_List_Olist(_u15862), hAPP(c_List_Omap(_u15861, _u15862), _u15863), _u15864) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__eq__None__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__eq__None__iff-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u15869, _u15871), _u15873), _u15875) != c_Option_Ooption_ONone(_u15871)) | ~hBOOL(hAPP(hAPP(c_member(_u15869), _u15875), hAPP(c_Set_Oimage(tc_prod(_u15869, _u15871), _u15869, c_Product__Type_Ofst(_u15869, _u15871)), hAPP(c_List_Oset(tc_prod(_u15869, _u15871)), _u15873)))) )).
% 12.21/12.41 cnf(fact_map__of__eq__None__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15870), _u15876), hAPP(c_Set_Oimage(tc_prod(_u15870, _u15872), _u15870, c_Product__Type_Ofst(_u15870, _u15872)), hAPP(c_List_Oset(tc_prod(_u15870, _u15872)), _u15874)))) | ( hAPP(hAPP(c_Map_Omap__of(_u15870, _u15872), _u15874), _u15876) = c_Option_Ooption_ONone(_u15872)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__map__keys ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__map__keys-1, axiom, ( ( hAPP(c_List_Oset(_u15877), _u15878) != c_Map_Odom(_u15877, _u15879, _u15880)) | ( hAPP(c_Map_Omap__of(_u15877, _u15879), hAPP(hAPP(c_List_Omap(_u15877, tc_prod(_u15877, _u15879)), hAPP(hAPP(c_COMBS(_u15877, _u15879, tc_prod(_u15877, _u15879)), c_Product__Type_OPair(_u15877, _u15879)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u15879), _u15879, _u15877), c_Option_Othe(_u15879)), _u15880))), _u15878)) = _u15880) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u15881, _u15882, _u15883) = hAPP(c_Set_OCollect(tc_List_Olist(_u15881)), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15881)), c_HOL_OEx(_u15881)), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_HOL_Obool), tc_List_Olist(_u15881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_HOL_Obool, _u15881), c_HOL_OEx(tc_List_Olist(_u15881)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15881), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_fun(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_List_Olist(_u15881)), c_COMBS(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15881, tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_List_Olist(_u15881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), _u15881), c_COMBS(tc_List_Olist(_u15881), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15881), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15881)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15881), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881))), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881)), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881))), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_List_Olist(_u15881)), c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881)), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), _u15881)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881)), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_List_Olist(_u15881)), c_COMBB(tc_List_Olist(_u15881), tc_HOL_Obool, tc_List_Olist(_u15881))), c_fequal))), c_List_Olist_OCons(_u15881)))))), hAPP(hAPP(c_COMBC(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), _u15881), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15881))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15881), c_fconj), hAPP(hAPP(c_COMBC(_u15881, tc_fun(_u15881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15881)), _u15882)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15881), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15881))), _u15883))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_the_Osimps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_the_Osimps-1, axiom, ( ( hAPP(c_Option_Othe(_u15884), hAPP(c_Option_Ooption_OSome(_u15884), _u15885)) = _u15885) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u15886), tc_fun(_u15886, tc_HOL_Obool), c_List_Oset(_u15886)), hAPP(c_List_Oset(tc_List_Olist(_u15886)), c_Enum_Osublists(_u15886, _u15887))) = hAPP(c_Set_OPow(_u15886), hAPP(c_List_Oset(_u15886), _u15887))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15892), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15894), _u15896))) | ( hAPP(c_Random_Opick(_u15894, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15894)), _u15896), _u15898)), _u15892) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15894), _u15896)) )).
% 12.21/12.41 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15893), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15895), _u15897))) | ( hAPP(c_Random_Opick(_u15895, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15895)), _u15897), _u15899)), _u15893) = hAPP(c_Random_Opick(_u15895, _u15899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15893), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15895), _u15897)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u15900, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15900)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15900), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15901)), _u15902)) = c_Random_Oselect__weight(_u15900, _u15902)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15903), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15904), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15904)), _u15905)))) | hBOOL(hAPP(hAPP(c_member(_u15904), hAPP(c_Random_Opick(_u15904, _u15905), _u15903)), hAPP(c_List_Oset(_u15904), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15904), _u15904), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15904)), _u15905)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15906) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15906), hAPP(hAPP(c_List_Olist_OCons(_u15906), _u15907), _u15908)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15906), _u15907), hAPP(c_List_Omonoid__add__class_Olistsum(_u15906), _u15908))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u15909) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15909), hAPP(hAPP(c_List_Omap(_u15910, _u15909), hAPP(c_COMBK(_u15909, _u15910), c_Groups_Ozero__class_Ozero(_u15909))), _u15911)) = c_Groups_Ozero__class_Ozero(_u15909)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15912) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15912), hAPP(hAPP(c_List_Omap(_u15913, _u15912), hAPP(hAPP(c_COMBS(_u15913, _u15912, _u15912), hAPP(hAPP(c_COMBB(_u15912, tc_fun(_u15912, _u15912), _u15913), c_Groups_Oplus__class_Oplus(_u15912)), _u15914)), _u15915)), _u15916)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15912), hAPP(c_List_Omonoid__add__class_Olistsum(_u15912), hAPP(hAPP(c_List_Omap(_u15913, _u15912), _u15914), _u15916))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15912), hAPP(hAPP(c_List_Omap(_u15913, _u15912), _u15915), _u15916)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u15917) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15917), hAPP(hAPP(c_List_Omap(_u15918, _u15917), hAPP(hAPP(c_COMBB(_u15917, _u15917, _u15918), hAPP(c_Groups_Otimes__class_Otimes(_u15917), _u15919)), _u15920)), _u15921)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15917), _u15919), hAPP(c_List_Omonoid__add__class_Olistsum(_u15917), hAPP(hAPP(c_List_Omap(_u15918, _u15917), _u15920), _u15921)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u15922) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15922), hAPP(hAPP(c_List_Omap(_u15923, _u15922), hAPP(hAPP(c_COMBC(_u15923, _u15922, _u15922), hAPP(hAPP(c_COMBB(_u15922, tc_fun(_u15922, _u15922), _u15923), c_Groups_Otimes__class_Otimes(_u15922)), _u15924)), _u15925)), _u15926)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15922), hAPP(c_List_Omonoid__add__class_Olistsum(_u15922), hAPP(hAPP(c_List_Omap(_u15923, _u15922), _u15924), _u15926))), _u15925)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u15927) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15927), hAPP(hAPP(c_List_Omap(_u15928, _u15927), hAPP(hAPP(c_COMBS(_u15928, _u15927, _u15927), hAPP(hAPP(c_COMBB(_u15927, tc_fun(_u15927, _u15927), _u15928), c_Groups_Ominus__class_Ominus(_u15927)), _u15929)), _u15930)), _u15931)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u15927), hAPP(c_List_Omonoid__add__class_Olistsum(_u15927), hAPP(hAPP(c_List_Omap(_u15928, _u15927), _u15929), _u15931))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15927), hAPP(hAPP(c_List_Omap(_u15928, _u15927), _u15930), _u15931)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u15932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15932), hAPP(c_Groups_Oabs__class_Oabs(_u15932), hAPP(c_List_Omonoid__add__class_Olistsum(_u15932), _u15933))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15932), hAPP(hAPP(c_List_Omap(_u15932, _u15932), c_Groups_Oabs__class_Oabs(_u15932)), _u15933)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u15934) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u15934), hAPP(c_List_Omonoid__add__class_Olistsum(_u15934), hAPP(hAPP(c_List_Omap(_u15935, _u15934), _u15936), _u15937))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15934), hAPP(hAPP(c_List_Omap(_u15935, _u15934), hAPP(c_Fun_Ocomp(_u15934, _u15934, _u15935, c_Groups_Ouminus__class_Ouminus(_u15934)), _u15936)), _u15937))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u15938, _u15939) = 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(_u15938, 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, _u15938), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15938)), _u15939)))), hAPP(hAPP(c_COMBB(_u15938, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u15938, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u15938, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u15938, _u15939)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 12.21/12.41 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, _u15940), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15940)), _u15941)))) | hBOOL(hAPP(hAPP(c_member(_u15940), hAPP(c_Product__Type_Ofst(_u15940, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u15940, _u15941), _u15942))), hAPP(c_List_Oset(_u15940), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15940), _u15940), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15940)), _u15941)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15943, _u15944)), c_Enum_Oproduct(_u15943, _u15944, _u15945, _u15946)) = hAPP(hAPP(c_Product__Type_OSigma(_u15943, _u15944), hAPP(c_List_Oset(_u15943), _u15945)), hAPP(c_COMBK(tc_fun(_u15944, tc_HOL_Obool), _u15943), hAPP(c_List_Oset(_u15944), _u15946)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_ran__distinct ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_ran__distinct-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15947), hAPP(hAPP(c_List_Omap(tc_prod(_u15947, _u15948), _u15947), c_Product__Type_Ofst(_u15947, _u15948)), _u15949))) | ( c_Map_Oran(_u15947, _u15948, hAPP(c_Map_Omap__of(_u15947, _u15948), _u15949)) = hAPP(c_Set_Oimage(tc_prod(_u15947, _u15948), _u15948, c_Product__Type_Osnd(_u15947, _u15948)), hAPP(c_List_Oset(tc_prod(_u15947, _u15948)), _u15949))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15950), _u15951)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u15950, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15950), tc_fun(_u15950, tc_HOL_Obool)), c_List_Oset(_u15950)), c_Enum_Osublists(_u15950, _u15951)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15955) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15952), hAPP(c_List_Oset(tc_Nat_Onat), _u15955))) | ( _u15952 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.41 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15956) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem412(_u15956)), hAPP(c_List_Oset(tc_Nat_Onat), _u15956))) )).
% 12.21/12.41 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15956) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem412(_u15956) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15957), _u15958)) | ~hBOOL(hAPP(c_List_Odistinct(_u15959), _u15960)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15957, _u15959)), c_Enum_Oproduct(_u15957, _u15959, _u15958, _u15960))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15964), hAPP(hAPP(c_List_Olist_OCons(_u15964), _u15966), _u15968))) | ~hBOOL(hAPP(hAPP(c_member(_u15964), _u15966), hAPP(c_List_Oset(_u15964), _u15968))) )).
% 12.21/12.41 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15964), hAPP(hAPP(c_List_Olist_OCons(_u15964), _u15966), _u15968))) | hBOOL(hAPP(c_List_Odistinct(_u15964), _u15968)) )).
% 12.21/12.41 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15965), _u15967), hAPP(c_List_Oset(_u15965), _u15969))) | ~hBOOL(hAPP(c_List_Odistinct(_u15965), _u15969)) | hBOOL(hAPP(c_List_Odistinct(_u15965), hAPP(hAPP(c_List_Olist_OCons(_u15965), _u15967), _u15969))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15974), hAPP(hAPP(c_List_Omap(_u15976, _u15974), _u15978), _u15980))) | hBOOL(hAPP(c_List_Odistinct(_u15976), _u15980)) )).
% 12.21/12.41 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15974), hAPP(hAPP(c_List_Omap(_u15976, _u15974), _u15978), _u15980))) | c_Fun_Oinj__on(_u15976, _u15974, _u15978, hAPP(c_List_Oset(_u15976), _u15980)) )).
% 12.21/12.41 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15977), _u15981)) | ~c_Fun_Oinj__on(_u15977, _u15975, _u15979, hAPP(c_List_Oset(_u15977), _u15981)) | hBOOL(hAPP(c_List_Odistinct(_u15975), hAPP(hAPP(c_List_Omap(_u15977, _u15975), _u15979), _u15981))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15982) | ~hBOOL(hAPP(c_List_Odistinct(_u15982), _u15983)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15982), _u15983) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15982, _u15982), c_COMBI(_u15982)), hAPP(c_List_Oset(_u15982), _u15983))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15984) | ~hBOOL(hAPP(c_List_Odistinct(_u15985), _u15986)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15984), hAPP(hAPP(c_List_Omap(_u15985, _u15984), _u15987), _u15986)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15985, _u15984), _u15987), hAPP(c_List_Oset(_u15985), _u15986))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__inject__set ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__inject__set-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15990))) | ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15991))) | ( hAPP(c_Map_Omap__of(_u15988, _u15989), _u15990) != hAPP(c_Map_Omap__of(_u15988, _u15989), _u15991)) | ( hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15990) = hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15991)) )).
% 12.21/12.41 cnf(fact_map__of__inject__set-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15990))) | ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15991))) | ( hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15990) != hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15991)) | ( hAPP(c_Map_Omap__of(_u15988, _u15989), _u15990) = hAPP(c_Map_Omap__of(_u15988, _u15989), _u15991)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Some__eq__map__of__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Some__eq__map__of__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15992), hAPP(hAPP(c_List_Omap(tc_prod(_u15992, _u15993), _u15992), c_Product__Type_Ofst(_u15992, _u15993)), _u15994))) | ( hAPP(c_Option_Ooption_OSome(_u15993), _u15995) != hAPP(hAPP(c_Map_Omap__of(_u15992, _u15993), _u15994), _u15996)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15993)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15993), _u15996), _u15995)), hAPP(c_List_Oset(tc_prod(_u15992, _u15993)), _u15994))) )).
% 12.21/12.41 cnf(fact_Some__eq__map__of__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15992), hAPP(hAPP(c_List_Omap(tc_prod(_u15992, _u15993), _u15992), c_Product__Type_Ofst(_u15992, _u15993)), _u15994))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15993)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15993), _u15996), _u15995)), hAPP(c_List_Oset(tc_prod(_u15992, _u15993)), _u15994))) | ( hAPP(c_Option_Ooption_OSome(_u15993), _u15995) = hAPP(hAPP(c_Map_Omap__of(_u15992, _u15993), _u15994), _u15996)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__eq__Some__iff ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__eq__Some__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15997), hAPP(hAPP(c_List_Omap(tc_prod(_u15997, _u15998), _u15997), c_Product__Type_Ofst(_u15997, _u15998)), _u15999))) | ( hAPP(hAPP(c_Map_Omap__of(_u15997, _u15998), _u15999), _u16000) != hAPP(c_Option_Ooption_OSome(_u15998), _u16001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15997, _u15998)), hAPP(hAPP(c_Product__Type_OPair(_u15997, _u15998), _u16000), _u16001)), hAPP(c_List_Oset(tc_prod(_u15997, _u15998)), _u15999))) )).
% 12.21/12.41 cnf(fact_map__of__eq__Some__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15997), hAPP(hAPP(c_List_Omap(tc_prod(_u15997, _u15998), _u15997), c_Product__Type_Ofst(_u15997, _u15998)), _u15999))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15997, _u15998)), hAPP(hAPP(c_Product__Type_OPair(_u15997, _u15998), _u16000), _u16001)), hAPP(c_List_Oset(tc_prod(_u15997, _u15998)), _u15999))) | ( hAPP(hAPP(c_Map_Omap__of(_u15997, _u15998), _u15999), _u16000) = hAPP(c_Option_Ooption_OSome(_u15998), _u16001)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__of__is__SomeI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__of__is__SomeI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16002), hAPP(hAPP(c_List_Omap(tc_prod(_u16002, _u16003), _u16002), c_Product__Type_Ofst(_u16002, _u16003)), _u16004))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16002, _u16003)), hAPP(hAPP(c_Product__Type_OPair(_u16002, _u16003), _u16005), _u16006)), hAPP(c_List_Oset(tc_prod(_u16002, _u16003)), _u16004))) | ( hAPP(hAPP(c_Map_Omap__of(_u16002, _u16003), _u16004), _u16005) = hAPP(c_Option_Ooption_OSome(_u16003), _u16006)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__map__of__compr ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__map__of__compr-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16007), hAPP(hAPP(c_List_Omap(tc_prod(_u16007, _u16008), _u16007), c_Product__Type_Ofst(_u16007, _u16008)), _u16009))) | ( hAPP(c_List_Oset(tc_prod(_u16007, _u16008)), _u16009) = hAPP(c_Set_OCollect(tc_prod(_u16007, _u16008)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16007, _u16008, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16007, tc_fun(_u16008, tc_Option_Ooption(_u16008)), tc_fun(_u16008, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u16008), tc_HOL_Obool), tc_fun(tc_fun(_u16008, tc_Option_Ooption(_u16008)), tc_fun(_u16008, tc_HOL_Obool)), _u16007), c_COMBB(tc_Option_Ooption(_u16008), tc_HOL_Obool, _u16008)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u16008), tc_fun(tc_Option_Ooption(_u16008), tc_HOL_Obool), _u16007), c_fequal), hAPP(c_Map_Omap__of(_u16007, _u16008), _u16009)))), c_Option_Ooption_OSome(_u16008))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16011), _u16012)) | ( c_Nitpick_Osetsum_H(_u16011, _u16010, _u16013, _u16012) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16010), hAPP(hAPP(c_List_Omap(_u16011, _u16010), _u16013), c_Hilbert__Choice_OEps(tc_List_Olist(_u16011), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16011), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16011)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16011), tc_fun(_u16011, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16011, tc_HOL_Obool), tc_fun(tc_fun(_u16011, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16011)), c_fequal), c_List_Oset(_u16011))), _u16012))), c_List_Odistinct(_u16011)))))) )).
% 12.21/12.41 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16010) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16011), _u16012)) | ( c_Nitpick_Osetsum_H(_u16011, _u16010, _u16013, _u16012) = c_Groups_Ozero__class_Ozero(_u16010)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16014), _u16015)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u16014)), hAPP(c_Set_OCollect(tc_List_Olist(_u16014)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16014), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16014)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16014), tc_fun(_u16014, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16014, tc_HOL_Obool), tc_fun(tc_fun(_u16014, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16014)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16014, tc_HOL_Obool))), c_List_Oset(_u16014))), _u16015))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16014), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16014)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16014)))), _u16016))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16017, _u16018), _u16019), _u16020) != hAPP(hAPP(c_List_Omap(_u16021, _u16018), _u16022), _u16023)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16017)), _u16020) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16021)), _u16023)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_length__map ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16024)), hAPP(hAPP(c_List_Omap(_u16025, _u16024), _u16026), _u16027)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16025)), _u16027)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16028), tc_List_Olist(_u16028))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16028), tc_List_Olist(_u16028)), _u16029), _u16030)), hAPP(c_List_Olexn(_u16028, _u16031), _u16032))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16028)), _u16029) = _u16032) )).
% 12.21/12.41 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16028), tc_List_Olist(_u16028))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16028), tc_List_Olist(_u16028)), _u16029), _u16030)), hAPP(c_List_Olexn(_u16028, _u16031), _u16032))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16028)), _u16030) = _u16032) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 12.21/12.41 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(_u16033)), _u16034)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16035))) | ( _u16034 != hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16036), _u16035)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16037))), c_Enum_Osublists(_u16037, _u16038)) = 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(_u16037)), _u16038))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u16040 != _u16041) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16039)), _u16040) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16039)), _u16041)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card__length ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u16042), hAPP(c_List_Oset(_u16042), _u16043))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16042)), _u16043))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16044), _u16045)) | ( hAPP(c_Finite__Set_Ocard(_u16044), hAPP(c_List_Oset(_u16044), _u16045)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16044)), _u16045)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u16046), hAPP(c_List_Oset(_u16046), _u16047)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16047)) | hBOOL(hAPP(c_List_Odistinct(_u16046), _u16047)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u16048, _u16049), hAPP(c_Nat_OSuc, _u16050)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u16048), tc_List_Olist(_u16048)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u16048, tc_List_Olist(_u16048)), tc_prod(_u16048, tc_List_Olist(_u16048))), tc_prod(tc_List_Olist(_u16048), tc_List_Olist(_u16048)), c_Product__Type_Omap__pair(tc_prod(_u16048, tc_List_Olist(_u16048)), tc_List_Olist(_u16048), tc_prod(_u16048, tc_List_Olist(_u16048)), tc_List_Olist(_u16048), hAPP(c_Product__Type_Oprod_Oprod__case(_u16048, tc_List_Olist(_u16048), tc_List_Olist(_u16048)), c_List_Olist_OCons(_u16048)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16048, tc_List_Olist(_u16048), tc_List_Olist(_u16048)), c_List_Olist_OCons(_u16048)))), c_Wellfounded_Olex__prod(_u16048, tc_List_Olist(_u16048), _u16049, hAPP(c_List_Olexn(_u16048, _u16049), _u16050)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u16048), tc_List_Olist(_u16048))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16048), tc_List_Olist(_u16048), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16048), tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool)), tc_List_Olist(_u16048)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u16048))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16048)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16048), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16048)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16048)))), hAPP(c_Nat_OSuc, _u16050))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16048), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16048)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16048)))), hAPP(c_Nat_OSuc, _u16050))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16051), _u16052), hAPP(c_List_Oset(_u16051), _u16053))) | 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(_u16051)), _u16053))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16054)), hAPP(hAPP(c_List_Olist_OCons(_u16054), _u16055), _u16056)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16054)), _u16056)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16063, _u16063)), hAPP(hAPP(c_Product__Type_OPair(_u16063, _u16063), _u16065), _u16069)), _u16073)) | ( _u16065 = _u16069) )).
% 12.21/12.41 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16063, _u16063)), hAPP(hAPP(c_Product__Type_OPair(_u16063, _u16063), _u16065), _u16069)), _u16073)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), _u16067), _u16071)), c_List_Olex(_u16063, _u16073))) )).
% 12.21/12.41 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16067) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16071)) | ( _u16065 = _u16069) )).
% 12.21/12.41 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16067) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16071)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), _u16067), _u16071)), c_List_Olex(_u16063, _u16073))) )).
% 12.21/12.41 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16064), tc_List_Olist(_u16064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16064), tc_List_Olist(_u16064)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16066), _u16068)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16070), _u16072))), c_List_Olex(_u16064, _u16074))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16064, _u16064)), hAPP(hAPP(c_Product__Type_OPair(_u16064, _u16064), _u16066), _u16070)), _u16074)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16064)), _u16068) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16064)), _u16072)) )).
% 12.21/12.41 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16064), tc_List_Olist(_u16064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16064), tc_List_Olist(_u16064)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16066), _u16068)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16070), _u16072))), c_List_Olex(_u16064, _u16074))) | ( _u16066 != _u16070) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16064), tc_List_Olist(_u16064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16064), tc_List_Olist(_u16064)), _u16068), _u16072)), c_List_Olex(_u16064, _u16074))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u16075) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16075), hAPP(hAPP(c_List_Omap(_u16076, _u16075), hAPP(c_COMBK(_u16075, _u16076), _u16077)), _u16078)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16075), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u16075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16076)), _u16078))), _u16077)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u16079, _u16080) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16079), tc_List_Olist(_u16079), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBS(tc_List_Olist(_u16079), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u16079)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16079)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u16079))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16079)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBS(tc_List_Olist(_u16079), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u16079)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16079)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u16079))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16079)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079))), tc_fun(tc_List_Olist(_u16079), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u16079)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16079)), c_member(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079))))), c_Product__Type_OPair(tc_List_Olist(_u16079), tc_List_Olist(_u16079))))), c_List_Olex(_u16079, _u16080))))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u16081, _u16082) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u16081)), tc_List_Olist(_u16081)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u16081), c_Wellfounded_Oless__than, c_List_Olex(_u16081, _u16082))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16081), tc_List_Olist(_u16081), tc_prod(tc_Nat_Onat, tc_List_Olist(_u16081))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u16081), tc_prod(tc_Nat_Onat, tc_List_Olist(_u16081))), tc_List_Olist(_u16081)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u16081))), c_Nat_Osize__class_Osize(tc_List_Olist(_u16081)))), c_COMBI(tc_List_Olist(_u16081))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16083), _u16084)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u16083)), hAPP(c_Set_OCollect(tc_List_Olist(_u16083)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16083), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16083)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16083), tc_fun(_u16083, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16083, tc_HOL_Obool), tc_fun(tc_fun(_u16083, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16083)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16083, tc_HOL_Obool))), c_List_Oset(_u16083))), _u16084))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16083), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16083)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16083)))), _u16085))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16088), _u16090)) | ( c_Nitpick_Ocard_H(_u16088, _u16090) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16088)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16088), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16088), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16088)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16088), tc_fun(_u16088, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16088, tc_HOL_Obool), tc_fun(tc_fun(_u16088, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16088)), c_fequal), c_List_Oset(_u16088))), _u16090))), c_List_Odistinct(_u16088))))) )).
% 12.21/12.41 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16089), _u16091)) | ( c_Nitpick_Ocard_H(_u16089, _u16091) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u16092)), c_Enum_On__lists(_u16092, _u16093, _u16094)) = hAPP(c_Set_OCollect(tc_List_Olist(_u16092)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16092), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16092)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16092), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16092)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16092)))), _u16093))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16092), tc_fun(_u16092, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16092, tc_HOL_Obool), tc_fun(tc_fun(_u16092, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16092)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16092, tc_HOL_Obool))), c_List_Oset(_u16092))), hAPP(c_List_Oset(_u16092), _u16094))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16095), _u16096)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16095)), c_Enum_On__lists(_u16095, _u16097, _u16096))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16098))), c_Enum_On__lists(_u16098, _u16099, _u16100)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16098)), _u16100)), _u16099)) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16101)), _u16102), hAPP(c_List_Oset(tc_List_Olist(_u16101)), c_Enum_On__lists(_u16101, _u16103, _u16104)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16101)), _u16102) = _u16103) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16105)), c_List_Osublist(_u16105, _u16106, _u16107)) = 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(_u16105)), _u16106)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u16107))))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16114), tc_List_Olist(_u16114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16114), tc_List_Olist(_u16114)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16116), _u16118)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16120), _u16122))), c_List_Olexord(_u16114, _u16124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16116), _u16120)), _u16124)) | ( _u16116 = _u16120) )).
% 12.21/12.41 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16114), tc_List_Olist(_u16114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16114), tc_List_Olist(_u16114)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16116), _u16118)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16120), _u16122))), c_List_Olexord(_u16114, _u16124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16116), _u16120)), _u16124)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16114), tc_List_Olist(_u16114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16114), tc_List_Olist(_u16114)), _u16118), _u16122)), c_List_Olexord(_u16114, _u16124))) )).
% 12.21/12.41 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16117), _u16119)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16121), _u16123))), c_List_Olexord(_u16115, _u16125))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16115, _u16115)), hAPP(hAPP(c_Product__Type_OPair(_u16115, _u16115), _u16117), _u16121)), _u16125)) )).
% 12.21/12.41 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16117), _u16119)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16121), _u16123))), c_List_Olexord(_u16115, _u16125))) | ( _u16117 != _u16121) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), _u16119), _u16123)), c_List_Olexord(_u16115, _u16125))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16126), _u16127)) | hBOOL(hAPP(c_List_Odistinct(_u16126), c_List_Osublist(_u16126, _u16127, _u16128))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16129), _u16130), hAPP(c_List_Oset(_u16129), c_List_Osublist(_u16129, _u16131, _u16132)))) | hBOOL(hAPP(hAPP(c_member(_u16129), _u16130), hAPP(c_List_Oset(_u16129), _u16131))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16133), _u16134), hAPP(c_List_Oset(_u16133), _u16135))) | ~hBOOL(hAPP(hAPP(c_member(_u16133), _u16134), hAPP(c_List_Oset(_u16133), c_List_Osublist(_u16133, _u16135, _u16136)))) )).
% 12.21/12.41
% 12.21/12.41 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 12.21/12.41 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16137, tc_HOL_Obool)), hAPP(c_List_Oset(_u16137), c_List_Osublist(_u16137, _u16138, _u16139))), hAPP(c_List_Oset(_u16137), _u16138))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16144), tc_List_Olist(_u16144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16144), tc_List_Olist(_u16144)), _u16146), _u16148)), c_List_Olex(_u16144, _u16150))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16144), tc_List_Olist(_u16144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16144), tc_List_Olist(_u16144)), _u16146), _u16148)), c_List_Olexord(_u16144, _u16150))) )).
% 12.21/12.42 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16144), tc_List_Olist(_u16144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16144), tc_List_Olist(_u16144)), _u16146), _u16148)), c_List_Olex(_u16144, _u16150))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16144)), _u16146) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16144)), _u16148)) )).
% 12.21/12.42 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16145), tc_List_Olist(_u16145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16145), tc_List_Olist(_u16145)), _u16147), _u16149)), c_List_Olexord(_u16145, _u16151))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16145)), _u16147) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16145)), _u16149)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16145), tc_List_Olist(_u16145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16145), tc_List_Olist(_u16145)), _u16147), _u16149)), c_List_Olex(_u16145, _u16151))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16152, _u16152)), hAPP(hAPP(c_Product__Type_OPair(_u16152, _u16152), _u16153), _u16154)), c_Transitive__Closure_Ortrancl(_u16152, _u16155))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16152), tc_List_Olist(_u16152))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16152), tc_List_Olist(_u16152)), _u16156), _u16157)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16152), c_List_Olistrel1(_u16152, _u16155)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16152), tc_List_Olist(_u16152))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16152), tc_List_Olist(_u16152)), hAPP(hAPP(c_List_Olist_OCons(_u16152), _u16153), _u16156)), hAPP(hAPP(c_List_Olist_OCons(_u16152), _u16154), _u16157))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16152), c_List_Olistrel1(_u16152, _u16155)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u16158, _u16159, hAPP(hAPP(c_List_Olist_OCons(_u16158), _u16160), _u16161)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u16159, _u16160)), c_List_Olist_Olist__size(_u16158, _u16159, _u16161))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16162), _u16163), c_Wellfounded_Oacc(_u16162, _u16164))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16162)), _u16165), c_Wellfounded_Oacc(tc_List_Olist(_u16162), c_List_Olistrel1(_u16162, _u16164)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16162)), hAPP(hAPP(c_List_Olist_OCons(_u16162), _u16163), _u16165)), c_Wellfounded_Oacc(tc_List_Olist(_u16162), c_List_Olistrel1(_u16162, _u16164)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u16166, _u16167, hAPP(hAPP(c_List_Omap(_u16168, _u16166), _u16169), _u16170)) = c_List_Olist_Olist__size(_u16168, hAPP(c_Fun_Ocomp(_u16166, tc_Nat_Onat, _u16168, _u16167), _u16169), _u16170)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16171, _u16171), tc_HOL_Obool)), _u16172), _u16173)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16171), tc_List_Olist(_u16171)), tc_HOL_Obool)), c_List_Olistrel1(_u16171, _u16172)), c_List_Olistrel1(_u16171, _u16173))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u16174, hAPP(c_Relation_Oconverse(_u16174, _u16174), _u16175)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u16174), tc_List_Olist(_u16174)), c_List_Olistrel1(_u16174, _u16175))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1__rtrancl__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16176), tc_List_Olist(_u16176)), tc_HOL_Obool)), c_List_Olistrel1(_u16176, c_Transitive__Closure_Ortrancl(_u16176, _u16177))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16176), c_List_Olistrel1(_u16176, _u16177)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16178), tc_List_Olist(_u16178))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16178), tc_List_Olist(_u16178)), _u16179), _u16180)), c_List_Olistrel1(_u16178, _u16181))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16178), tc_List_Olist(_u16178))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16178), tc_List_Olist(_u16178)), hAPP(hAPP(c_List_Olist_OCons(_u16178), _u16182), _u16179)), hAPP(hAPP(c_List_Olist_OCons(_u16178), _u16182), _u16180))), c_List_Olistrel1(_u16178, _u16181))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16183), tc_List_Olist(_u16183))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16183), tc_List_Olist(_u16183)), _u16184), _u16185)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16183), c_List_Olistrel1(_u16183, _u16186)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16183), tc_List_Olist(_u16183))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16183), tc_List_Olist(_u16183)), hAPP(hAPP(c_List_Olist_OCons(_u16183), _u16187), _u16184)), hAPP(hAPP(c_List_Olist_OCons(_u16183), _u16187), _u16185))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16183), c_List_Olistrel1(_u16183, _u16186)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16188), tc_List_Olist(_u16188))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16188), tc_List_Olist(_u16188)), _u16189), _u16190)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16188), c_List_Olistrel1(_u16188, _u16191)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16188)), _u16189) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16188)), _u16190)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16192), tc_List_Olist(_u16192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16192), tc_List_Olist(_u16192)), _u16193), _u16194)), c_List_Olistrel1(_u16192, _u16195))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16193) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16194)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16200), tc_List_Olist(_u16200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16200), tc_List_Olist(_u16200)), _u16202), _u16204)), c_List_Olistrel1(_u16200, hAPP(c_Relation_Oconverse(_u16200, _u16200), _u16206)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16200), tc_List_Olist(_u16200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16200), tc_List_Olist(_u16200)), _u16202), _u16204)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u16200), tc_List_Olist(_u16200)), c_List_Olistrel1(_u16200, _u16206)))) )).
% 12.21/12.42 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16201), tc_List_Olist(_u16201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16201), tc_List_Olist(_u16201)), _u16203), _u16205)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u16201), tc_List_Olist(_u16201)), c_List_Olistrel1(_u16201, _u16207)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16201), tc_List_Olist(_u16201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16201), tc_List_Olist(_u16201)), _u16203), _u16205)), c_List_Olistrel1(_u16201, hAPP(c_Relation_Oconverse(_u16201, _u16201), _u16207)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16208), _u16209), hAPP(c_List_Oset(_u16208), _u16210))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16211), hAPP(_u16212, _u16209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16211), c_List_Olist_Olist__size(_u16208, _u16212, _u16210))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16213), _u16214), hAPP(c_List_Oset(_u16213), _u16215))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16216), hAPP(_u16217, _u16214))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16216), c_List_Olist_Olist__size(_u16213, _u16217, _u16215))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16218, _u16218)), hAPP(hAPP(c_Product__Type_OPair(_u16218, _u16218), _u16219), _u16220)), _u16221)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16218), tc_List_Olist(_u16218))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16218), tc_List_Olist(_u16218)), hAPP(hAPP(c_List_Olist_OCons(_u16218), _u16219), _u16222)), hAPP(hAPP(c_List_Olist_OCons(_u16218), _u16220), _u16222))), c_List_Olistrel1(_u16218, _u16221))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16229, _u16229)), hAPP(hAPP(c_Product__Type_OPair(_u16229, _u16229), _u16231), _u16235)), _u16239)) | ( _u16231 = _u16235) )).
% 12.21/12.42 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16229, _u16229)), hAPP(hAPP(c_Product__Type_OPair(_u16229, _u16229), _u16231), _u16235)), _u16239)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), _u16233), _u16237)), c_List_Olistrel1(_u16229, _u16239))) )).
% 12.21/12.42 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | ( _u16233 = _u16237) | ( _u16231 = _u16235) )).
% 12.21/12.42 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | ( _u16233 = _u16237) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), _u16233), _u16237)), c_List_Olistrel1(_u16229, _u16239))) )).
% 12.21/12.42 cnf(fact_Cons__listrel1__Cons-5, 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)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16232), _u16234)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16236), _u16238))), c_List_Olistrel1(_u16230, _u16240))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16230, _u16230)), hAPP(hAPP(c_Product__Type_OPair(_u16230, _u16230), _u16232), _u16236)), _u16240)) | ( _u16234 != _u16238) )).
% 12.21/12.42 cnf(fact_Cons__listrel1__Cons-6, 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)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16232), _u16234)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16236), _u16238))), c_List_Olistrel1(_u16230, _u16240))) | ( _u16232 != _u16236) | ~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)), _u16234), _u16238)), c_List_Olistrel1(_u16230, _u16240))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u16241, _u16242, _u16243) = 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(_u16241, tc_Nat_Onat), _u16242), _u16243))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16241)), _u16243))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16244), tc_List_Olist(_u16244), c_List_Olistrel(_u16244, _u16245)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16244)), hAPP(hAPP(c_List_Olist_OCons(_u16244), _u16246), _u16247)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16244), tc_HOL_Obool)))) = c_List_Oset__Cons(_u16244, hAPP(c_Relation_OImage(_u16244, _u16244, _u16245), hAPP(hAPP(c_Set_Oinsert(_u16244), _u16246), c_Orderings_Obot__class_Obot(tc_fun(_u16244, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u16244), tc_List_Olist(_u16244), c_List_Olistrel(_u16244, _u16245)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16244)), _u16247), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16244), tc_HOL_Obool)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u16248, _u16249) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16248), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16249), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16250), tc_List_Olist(_u16250))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16250), tc_List_Olist(_u16250)), _u16251), _u16251)), c_List_Olistrel(_u16250, c_Transitive__Closure_Ortrancl(_u16250, _u16252)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16253, _u16253), tc_HOL_Obool)), _u16254), _u16255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16253), tc_List_Olist(_u16253)), tc_HOL_Obool)), c_List_Olistrel(_u16253, _u16254)), c_List_Olistrel(_u16253, _u16255))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16256, _u16257)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16256, _u16257)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16258, _u16259) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16258, _u16259))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u16260, _u16261))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16262), tc_List_Olist(_u16262)), tc_HOL_Obool)), c_List_Olistrel(_u16262, _u16263)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16262), c_List_Olistrel1(_u16262, _u16263)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16264) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16264), _u16265), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16266, _u16267))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16264), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16264), _u16265), c_List_Oupto(_u16266, _u16267)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16268) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16268), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16268), _u16269), c_List_Oupto(_u16270, _u16271))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16268), _u16269), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16270, _u16271)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16272), tc_List_Olist(_u16272))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16272), tc_List_Olist(_u16272)), _u16273), _u16274)), c_List_Olistrel(_u16272, _u16275))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16273) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16274)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16276), tc_List_Olist(_u16276))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16276), tc_List_Olist(_u16276)), _u16277), _u16278)), c_List_Olistrel(_u16276, c_Transitive__Closure_Ortrancl(_u16276, _u16279)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16276), tc_List_Olist(_u16276))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16276), tc_List_Olist(_u16276)), _u16278), _u16280)), c_List_Olistrel(_u16276, c_Transitive__Closure_Ortrancl(_u16276, _u16279)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16276), tc_List_Olist(_u16276))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16276), tc_List_Olist(_u16276)), _u16277), _u16280)), c_List_Olistrel(_u16276, c_Transitive__Closure_Ortrancl(_u16276, _u16279)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u16281, c_Transitive__Closure_Ortrancl(_u16281, _u16282)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16281), c_List_Olistrel1(_u16281, _u16282))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u16283), _u16284) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16283, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16284), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16285), tc_List_Olist(_u16285))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16285), tc_List_Olist(_u16285)), _u16286), _u16287)), c_List_Olistrel1(_u16285, _u16288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16285), tc_List_Olist(_u16285))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16285), tc_List_Olist(_u16285)), _u16286), _u16287)), c_List_Olistrel(_u16285, c_Transitive__Closure_Ortrancl(_u16285, _u16288)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16289, _u16289), tc_HOL_Obool)), _u16290), _u16291)) | ~c_Relation_Orefl__on(_u16289, c_Orderings_Otop__class_Otop(tc_fun(_u16289, tc_HOL_Obool)), _u16291) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16289), tc_List_Olist(_u16289)), tc_HOL_Obool)), c_List_Olistrel1(_u16289, _u16290)), c_List_Olistrel(_u16289, _u16291))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u16292, _u16293) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16292), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16293))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16294), tc_List_Olist(_u16294))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16294), tc_List_Olist(_u16294)), _u16295), _u16296)), c_List_Olistrel(_u16294, _u16297))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16294), tc_List_Olist(_u16294))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16294), tc_List_Olist(_u16294)), _u16295), _u16296)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16294), c_List_Olistrel1(_u16294, _u16297)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16298, _u16298)), hAPP(hAPP(c_Product__Type_OPair(_u16298, _u16298), _u16299), _u16300)), _u16301)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16298), tc_List_Olist(_u16298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16298), tc_List_Olist(_u16298)), _u16302), _u16303)), c_List_Olistrel(_u16298, _u16301))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16298), tc_List_Olist(_u16298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16298), tc_List_Olist(_u16298)), hAPP(hAPP(c_List_Olist_OCons(_u16298), _u16299), _u16302)), hAPP(hAPP(c_List_Olist_OCons(_u16298), _u16300), _u16303))), c_List_Olistrel(_u16298, _u16301))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u16305) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16305)) )).
% 12.21/12.42 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16306)) | c_List_Onat__list(_u16306) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u16311, hAPP(hAPP(c_COMBC(_u16311, tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_fun(_u16311, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_fun(_u16311, tc_HOL_Obool)), _u16311), c_COMBC(_u16311, tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_prod(_u16311, _u16311)), tc_fun(_u16311, tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool)), _u16311), hAPP(c_COMBB(tc_prod(_u16311, _u16311), tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool), _u16311), c_member(tc_prod(_u16311, _u16311)))), c_Product__Type_OPair(_u16311, _u16311)))), _u16313), _u16315, _u16317) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16311), tc_List_Olist(_u16311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16311), tc_List_Olist(_u16311)), _u16315), _u16317)), c_List_Olistrel(_u16311, _u16313))) )).
% 12.21/12.42 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16312), tc_List_Olist(_u16312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16312), tc_List_Olist(_u16312)), _u16316), _u16318)), c_List_Olistrel(_u16312, _u16314))) | c_List_Olistrelp(_u16312, hAPP(hAPP(c_COMBC(_u16312, tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16312, tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool)), _u16312), c_COMBC(_u16312, tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16312, tc_prod(_u16312, _u16312)), tc_fun(_u16312, tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool)), _u16312), hAPP(c_COMBB(tc_prod(_u16312, _u16312), tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool), _u16312), c_member(tc_prod(_u16312, _u16312)))), c_Product__Type_OPair(_u16312, _u16312)))), _u16314), _u16316, _u16318) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u16325, _u16327, hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16329), _u16331), hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16333), _u16335)) | hBOOL(hAPP(hAPP(_u16327, _u16329), _u16333)) )).
% 12.21/12.42 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u16325, _u16327, hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16329), _u16331), hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16333), _u16335)) | c_List_Olistrelp(_u16325, _u16327, _u16331, _u16335) )).
% 12.21/12.42 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u16328, _u16330), _u16334)) | ~c_List_Olistrelp(_u16326, _u16328, _u16332, _u16336) | c_List_Olistrelp(_u16326, _u16328, hAPP(hAPP(c_List_Olist_OCons(_u16326), _u16330), _u16332), hAPP(hAPP(c_List_Olist_OCons(_u16326), _u16334), _u16336)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u16337, _u16338), _u16339)) | ~c_List_Olistrelp(_u16340, _u16337, _u16341, _u16342) | c_List_Olistrelp(_u16340, _u16337, hAPP(hAPP(c_List_Olist_OCons(_u16340), _u16338), _u16341), hAPP(hAPP(c_List_Olist_OCons(_u16340), _u16339), _u16342)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16349), tc_List_Olist(_u16349))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16349), tc_List_Olist(_u16349)), _u16351), _u16353)), c_List_Olistrel(_u16349, _u16355))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16349)), _u16351) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16349)), _u16353)) )).
% 12.21/12.42 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16349), tc_List_Olist(_u16349))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16349), tc_List_Olist(_u16349)), _u16351), _u16353)), c_List_Olistrel(_u16349, _u16355))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16349, _u16349)), _u16343), hAPP(c_List_Oset(tc_prod(_u16349, _u16349)), hAPP(hAPP(c_List_Ozip(_u16349, _u16349), _u16351), _u16353)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16349, _u16349, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16349, tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_fun(_u16349, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16349, tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_fun(_u16349, tc_HOL_Obool)), _u16349), c_COMBC(_u16349, tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16349, tc_prod(_u16349, _u16349)), tc_fun(_u16349, tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool)), _u16349), hAPP(c_COMBB(tc_prod(_u16349, _u16349), tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool), _u16349), c_member(tc_prod(_u16349, _u16349)))), c_Product__Type_OPair(_u16349, _u16349)))), _u16355)), _u16343)) )).
% 12.21/12.42 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16350), tc_List_Olist(_u16350))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16350), tc_List_Olist(_u16350)), _u16352), _u16354)), c_List_Olistrel(_u16350, _u16356))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16354)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16350, _u16350)), skolem413(_u16356, _u16354, _u16352, _u16350)), hAPP(c_List_Oset(tc_prod(_u16350, _u16350)), hAPP(hAPP(c_List_Ozip(_u16350, _u16350), _u16352), _u16354)))) )).
% 12.21/12.42 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16350), tc_List_Olist(_u16350))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16350), tc_List_Olist(_u16350)), _u16352), _u16354)), c_List_Olistrel(_u16350, _u16356))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16354)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16350, _u16350, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16350, tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_fun(_u16350, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16350, tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_fun(_u16350, tc_HOL_Obool)), _u16350), c_COMBC(_u16350, tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16350, tc_prod(_u16350, _u16350)), tc_fun(_u16350, tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool)), _u16350), hAPP(c_COMBB(tc_prod(_u16350, _u16350), tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool), _u16350), c_member(tc_prod(_u16350, _u16350)))), c_Product__Type_OPair(_u16350, _u16350)))), _u16356)), skolem413(_u16356, _u16354, _u16352, _u16350))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16359), _u16361), _u16362))), c_List_Olistrel(_u16359, _u16363))) | ( _u16360 = hAPP(hAPP(c_List_Olist_OCons(_u16359), skolem414(_u16363, _u16362, _u16361, _u16360, _u16359)), skolem415(_u16363, _u16362, _u16361, _u16360, _u16359))) )).
% 12.21/12.42 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16359), _u16361), _u16362))), c_List_Olistrel(_u16359, _u16363))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16359, _u16359)), hAPP(hAPP(c_Product__Type_OPair(_u16359, _u16359), skolem414(_u16363, _u16362, _u16361, _u16360, _u16359)), _u16361)), _u16363)) )).
% 12.21/12.42 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16359), _u16361), _u16362))), c_List_Olistrel(_u16359, _u16363))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), skolem415(_u16363, _u16362, _u16361, _u16360, _u16359)), _u16362)), c_List_Olistrel(_u16359, _u16363))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u16364, _u16365))), hAPP(hAPP(c_List_Ozip(_u16364, _u16365), _u16366), _u16367)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16364)), _u16366)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16365)), _u16367))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16368, _u16368), _u16369), _u16369) = hAPP(hAPP(c_List_Omap(_u16368, tc_prod(_u16368, _u16368)), hAPP(hAPP(c_COMBS(_u16368, _u16368, tc_prod(_u16368, _u16368)), c_Product__Type_OPair(_u16368, _u16368)), c_COMBI(_u16368))), _u16369)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16370), _u16371)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16372, _u16370)), hAPP(hAPP(c_List_Ozip(_u16372, _u16370), _u16373), _u16371))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16374), _u16375)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16374, _u16376)), hAPP(hAPP(c_List_Ozip(_u16374, _u16376), _u16375), _u16377))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__inject ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__inject-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16378)), _u16379) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16380)), _u16381)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16378)), _u16382) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16380)), _u16381)) | ~hBOOL(hAPP(c_List_Odistinct(_u16380), _u16381)) | ( hAPP(c_Map_Omap__of(_u16380, _u16378), hAPP(hAPP(c_List_Ozip(_u16380, _u16378), _u16381), _u16379)) != hAPP(c_Map_Omap__of(_u16380, _u16378), hAPP(hAPP(c_List_Ozip(_u16380, _u16378), _u16381), _u16382))) | ( _u16379 = _u16382) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16383)), _u16384) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16385)), _u16386)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16383, _u16385), _u16383), c_Product__Type_Ofst(_u16383, _u16385)), hAPP(hAPP(c_List_Ozip(_u16383, _u16385), _u16384), _u16386)) = _u16384) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16387)), _u16388) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16389)), _u16390)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16387, _u16389), _u16389), c_Product__Type_Osnd(_u16387, _u16389)), hAPP(hAPP(c_List_Ozip(_u16387, _u16389), _u16388), _u16390)) = _u16390) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16391, _u16392), hAPP(hAPP(c_List_Omap(tc_prod(_u16391, _u16392), _u16391), c_Product__Type_Ofst(_u16391, _u16392)), _u16393)), hAPP(hAPP(c_List_Omap(tc_prod(_u16391, _u16392), _u16392), c_Product__Type_Osnd(_u16391, _u16392)), _u16393)) = _u16393) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16394, _u16395), hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16397)), hAPP(hAPP(c_List_Olist_OCons(_u16395), _u16398), _u16399)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u16394, _u16395)), hAPP(hAPP(c_Product__Type_OPair(_u16394, _u16395), _u16396), _u16398)), hAPP(hAPP(c_List_Ozip(_u16394, _u16395), _u16397), _u16399))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)) | ( hAPP(hAPP(c_List_Ozip(_u16400, _u16402), _u16401), _u16403) != _u16404) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16400), c_Product__Type_Ofst(_u16400, _u16402)), _u16404) = _u16401) )).
% 12.21/12.42 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)) | ( hAPP(hAPP(c_List_Ozip(_u16400, _u16402), _u16401), _u16403) != _u16404) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16402), c_Product__Type_Osnd(_u16400, _u16402)), _u16404) = _u16403) )).
% 12.21/12.42 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16400), c_Product__Type_Ofst(_u16400, _u16402)), _u16404) != _u16401) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16402), c_Product__Type_Osnd(_u16400, _u16402)), _u16404) != _u16403) | ( hAPP(hAPP(c_List_Ozip(_u16400, _u16402), _u16401), _u16403) = _u16404) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16405, _u16406), _u16407), _u16408), hAPP(hAPP(c_List_Ozip(_u16405, _u16406), _u16409), hAPP(hAPP(c_List_Omap(_u16410, _u16406), _u16411), _u16412))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16405, _u16410), _u16407), hAPP(c_Product__Type_Oprod_Oprod__case(_u16405, _u16410, _u16407), hAPP(hAPP(c_COMBB(tc_fun(_u16410, tc_prod(_u16405, _u16406)), tc_fun(_u16410, _u16407), _u16405), hAPP(c_COMBB(tc_prod(_u16405, _u16406), _u16407, _u16410), _u16408)), hAPP(hAPP(c_COMBC(_u16405, tc_fun(_u16410, _u16406), tc_fun(_u16410, tc_prod(_u16405, _u16406))), hAPP(hAPP(c_COMBB(tc_fun(_u16406, tc_prod(_u16405, _u16406)), tc_fun(tc_fun(_u16410, _u16406), tc_fun(_u16410, tc_prod(_u16405, _u16406))), _u16405), c_COMBB(_u16406, tc_prod(_u16405, _u16406), _u16410)), c_Product__Type_OPair(_u16405, _u16406))), _u16411)))), hAPP(hAPP(c_List_Ozip(_u16405, _u16410), _u16409), _u16412))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16413, _u16414), _u16415), _u16416), hAPP(hAPP(c_List_Ozip(_u16413, _u16414), hAPP(hAPP(c_List_Omap(_u16417, _u16413), _u16418), _u16419)), _u16420)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16417, _u16414), _u16415), hAPP(c_Product__Type_Oprod_Oprod__case(_u16417, _u16414, _u16415), hAPP(hAPP(c_COMBB(tc_fun(_u16414, tc_prod(_u16413, _u16414)), tc_fun(_u16414, _u16415), _u16417), hAPP(c_COMBB(tc_prod(_u16413, _u16414), _u16415, _u16414), _u16416)), hAPP(hAPP(c_COMBB(_u16413, tc_fun(_u16414, tc_prod(_u16413, _u16414)), _u16417), c_Product__Type_OPair(_u16413, _u16414)), _u16418)))), hAPP(hAPP(c_List_Ozip(_u16417, _u16414), _u16419), _u16420))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u16426 != _u16428) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16430)), _u16426) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16430)), _u16428)) )).
% 12.21/12.42 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u16426 != _u16428) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16430, _u16430)), _u16421), hAPP(c_List_Oset(tc_prod(_u16430, _u16430)), hAPP(hAPP(c_List_Ozip(_u16430, _u16430), _u16426), _u16428)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16430, _u16430, tc_HOL_Obool), c_fequal), _u16421)) )).
% 12.21/12.42 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u16427 = _u16429) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16429)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16431, _u16431)), skolem416(_u16431, _u16429, _u16427)), hAPP(c_List_Oset(tc_prod(_u16431, _u16431)), hAPP(hAPP(c_List_Ozip(_u16431, _u16431), _u16427), _u16429)))) )).
% 12.21/12.42 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u16427 = _u16429) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16429)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16431, _u16431, tc_HOL_Obool), c_fequal), skolem416(_u16431, _u16429, _u16427))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_Product__Type_OPair(_u16436, _u16436), _u16438), _u16440)), hAPP(c_List_Oset(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_List_Ozip(_u16436, _u16436), _u16442), _u16442)))) | hBOOL(hAPP(hAPP(c_member(_u16436), _u16438), hAPP(c_List_Oset(_u16436), _u16442))) )).
% 12.21/12.42 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_Product__Type_OPair(_u16436, _u16436), _u16438), _u16440)), hAPP(c_List_Oset(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_List_Ozip(_u16436, _u16436), _u16442), _u16442)))) | ( _u16438 = _u16440) )).
% 12.21/12.42 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16437), _u16439), hAPP(c_List_Oset(_u16437), _u16443))) | ( _u16439 != _u16441) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16437, _u16437)), hAPP(hAPP(c_Product__Type_OPair(_u16437, _u16437), _u16439), _u16441)), hAPP(c_List_Oset(tc_prod(_u16437, _u16437)), hAPP(hAPP(c_List_Ozip(_u16437, _u16437), _u16443), _u16443)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16444, _u16445)), hAPP(hAPP(c_Product__Type_OPair(_u16444, _u16445), _u16446), _u16447)), hAPP(c_List_Oset(tc_prod(_u16444, _u16445)), hAPP(hAPP(c_List_Ozip(_u16444, _u16445), _u16448), _u16449)))) | hBOOL(hAPP(hAPP(c_member(_u16444), _u16446), hAPP(c_List_Oset(_u16444), _u16448))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16451), _u16453), hAPP(c_List_Oset(_u16451), _u16455))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16450, _u16451)), hAPP(hAPP(c_Product__Type_OPair(_u16450, _u16451), _u16452), _u16453)), hAPP(c_List_Oset(tc_prod(_u16450, _u16451)), hAPP(hAPP(c_List_Ozip(_u16450, _u16451), _u16454), _u16455)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_Product__Type_OPair(_u16456, _u16457), _u16458), _u16459)), hAPP(c_List_Oset(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_List_Ozip(_u16456, _u16457), _u16460), _u16461)))) | hBOOL(hAPP(hAPP(c_member(_u16456), _u16458), hAPP(c_List_Oset(_u16456), _u16460))) )).
% 12.21/12.42 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_Product__Type_OPair(_u16456, _u16457), _u16458), _u16459)), hAPP(c_List_Oset(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_List_Ozip(_u16456, _u16457), _u16460), _u16461)))) | hBOOL(hAPP(hAPP(c_member(_u16457), _u16459), hAPP(c_List_Oset(_u16457), _u16461))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__is__None ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__is__None-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16462)), _u16463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16465)) | ( hAPP(hAPP(c_Map_Omap__of(_u16462, _u16464), hAPP(hAPP(c_List_Ozip(_u16462, _u16464), _u16463), _u16465)), _u16466) != c_Option_Ooption_ONone(_u16464)) | ~hBOOL(hAPP(hAPP(c_member(_u16462), _u16466), hAPP(c_List_Oset(_u16462), _u16463))) )).
% 12.21/12.42 cnf(fact_map__of__zip__is__None-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16462)), _u16463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16465)) | hBOOL(hAPP(hAPP(c_member(_u16462), _u16466), hAPP(c_List_Oset(_u16462), _u16463))) | ( hAPP(hAPP(c_Map_Omap__of(_u16462, _u16464), hAPP(hAPP(c_List_Ozip(_u16462, _u16464), _u16463), _u16465)), _u16466) = c_Option_Ooption_ONone(_u16464)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__is__Some ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__is__Some-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16469)), _u16470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16471)), _u16472)) | ~hBOOL(hAPP(hAPP(c_member(_u16469), _u16473), hAPP(c_List_Oset(_u16469), _u16470))) | ( hAPP(hAPP(c_Map_Omap__of(_u16469, _u16471), hAPP(hAPP(c_List_Ozip(_u16469, _u16471), _u16470), _u16472)), _u16473) = hAPP(c_Option_Ooption_OSome(_u16471), skolem417(_u16473, _u16472, _u16471, _u16470, _u16469))) )).
% 12.21/12.42 cnf(fact_map__of__zip__is__Some-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16469)), _u16470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16471)), _u16472)) | ( hAPP(hAPP(c_Map_Omap__of(_u16469, _u16471), hAPP(hAPP(c_List_Ozip(_u16469, _u16471), _u16470), _u16472)), _u16473) != hAPP(c_Option_Ooption_OSome(_u16471), _u16468)) | hBOOL(hAPP(hAPP(c_member(_u16469), _u16473), hAPP(c_List_Oset(_u16469), _u16470))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16474, _u16475), _u16476), hAPP(hAPP(c_List_Omap(_u16477, _u16475), _u16478), _u16479)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16474, _u16477), tc_prod(_u16474, _u16475)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16474, _u16477, tc_prod(_u16474, _u16475)), hAPP(hAPP(c_COMBC(_u16474, tc_fun(_u16477, _u16475), tc_fun(_u16477, tc_prod(_u16474, _u16475))), hAPP(hAPP(c_COMBB(tc_fun(_u16475, tc_prod(_u16474, _u16475)), tc_fun(tc_fun(_u16477, _u16475), tc_fun(_u16477, tc_prod(_u16474, _u16475))), _u16474), c_COMBB(_u16475, tc_prod(_u16474, _u16475), _u16477)), c_Product__Type_OPair(_u16474, _u16475))), _u16478))), hAPP(hAPP(c_List_Ozip(_u16474, _u16477), _u16476), _u16479))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16480, _u16481), hAPP(hAPP(c_List_Omap(_u16482, _u16480), _u16483), _u16484)), _u16485) = hAPP(hAPP(c_List_Omap(tc_prod(_u16482, _u16481), tc_prod(_u16480, _u16481)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16482, _u16481, tc_prod(_u16480, _u16481)), hAPP(hAPP(c_COMBB(_u16480, tc_fun(_u16481, tc_prod(_u16480, _u16481)), _u16482), c_Product__Type_OPair(_u16480, _u16481)), _u16483))), hAPP(hAPP(c_List_Ozip(_u16482, _u16481), _u16484), _u16485))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16486, _u16487), hAPP(hAPP(c_List_Omap(_u16488, _u16486), _u16489), _u16490)), hAPP(hAPP(c_List_Omap(_u16491, _u16487), _u16492), _u16493)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16488, _u16491), tc_prod(_u16486, _u16487)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16488, _u16491, tc_prod(_u16486, _u16487)), hAPP(hAPP(c_COMBC(_u16488, tc_fun(_u16491, _u16487), tc_fun(_u16491, tc_prod(_u16486, _u16487))), hAPP(hAPP(c_COMBB(tc_fun(_u16487, tc_prod(_u16486, _u16487)), tc_fun(tc_fun(_u16491, _u16487), tc_fun(_u16491, tc_prod(_u16486, _u16487))), _u16488), c_COMBB(_u16487, tc_prod(_u16486, _u16487), _u16491)), hAPP(hAPP(c_COMBB(_u16486, tc_fun(_u16487, tc_prod(_u16486, _u16487)), _u16488), c_Product__Type_OPair(_u16486, _u16487)), _u16489))), _u16492))), hAPP(hAPP(c_List_Ozip(_u16488, _u16491), _u16490), _u16493))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dom__map__of__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dom__map__of__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16494)), _u16495) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16497)) | ~hBOOL(hAPP(c_List_Odistinct(_u16494), _u16495)) | ( c_Map_Odom(_u16494, _u16496, hAPP(c_Map_Omap__of(_u16494, _u16496), hAPP(hAPP(c_List_Ozip(_u16494, _u16496), _u16495), _u16497))) = hAPP(c_List_Oset(_u16494), _u16495)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__upd ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__upd-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16499) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16501)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16502) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16501)) | hBOOL(hAPP(hAPP(c_member(_u16500), _u16503), hAPP(c_List_Oset(_u16500), _u16501))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16500, tc_Option_Ooption(_u16498)), hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16499))), _u16503), hAPP(c_Option_Ooption_OSome(_u16498), _u16504)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16500, tc_Option_Ooption(_u16498)), hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16502))), _u16503), hAPP(c_Option_Ooption_OSome(_u16498), _u16505))) | ( hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16499)) = hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16502))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16511), _u16513), hAPP(c_List_Oset(_u16511), _u16515))) | ( hAPP(hAPP(c_Map_Omap__of(_u16511, _u16517), hAPP(hAPP(c_List_Ozip(_u16511, _u16517), _u16515), hAPP(hAPP(c_List_Omap(_u16511, _u16517), _u16519), _u16515))), _u16513) = hAPP(c_Option_Ooption_OSome(_u16517), hAPP(_u16519, _u16513))) )).
% 12.21/12.42 cnf(fact_map__of__zip__map-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16512), _u16514), hAPP(c_List_Oset(_u16512), _u16516))) | ( hAPP(hAPP(c_Map_Omap__of(_u16512, _u16518), hAPP(hAPP(c_List_Ozip(_u16512, _u16518), _u16516), hAPP(hAPP(c_List_Omap(_u16512, _u16518), _u16520), _u16516))), _u16514) = c_Option_Ooption_ONone(_u16518)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), hAPP(hAPP(c_List_Olist_OCons(_u16523), _u16524), _u16525)), _u16526)), c_List_Olistrel(_u16523, _u16527))) | ( _u16526 = hAPP(hAPP(c_List_Olist_OCons(_u16523), skolem418(_u16527, _u16526, _u16525, _u16524, _u16523)), skolem419(_u16527, _u16526, _u16525, _u16524, _u16523))) )).
% 12.21/12.42 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), hAPP(hAPP(c_List_Olist_OCons(_u16523), _u16524), _u16525)), _u16526)), c_List_Olistrel(_u16523, _u16527))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16523, _u16523)), hAPP(hAPP(c_Product__Type_OPair(_u16523, _u16523), _u16524), skolem418(_u16527, _u16526, _u16525, _u16524, _u16523))), _u16527)) )).
% 12.21/12.42 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), hAPP(hAPP(c_List_Olist_OCons(_u16523), _u16524), _u16525)), _u16526)), c_List_Olistrel(_u16523, _u16527))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), _u16525), skolem419(_u16527, _u16526, _u16525, _u16524, _u16523))), c_List_Olistrel(_u16523, _u16527))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__enum__inject ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__enum__inject-1, axiom, ( ~class_Enum_Oenum(_u16528) | ~class_Enum_Oenum(_u16529) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), _u16530) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), c_Enum_Oenum__class_Oenum(_u16528))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), _u16531) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), c_Enum_Oenum__class_Oenum(_u16528))) | ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u16529), _u16529, _u16528, c_Option_Othe(_u16529)), hAPP(c_Map_Omap__of(_u16528, _u16529), hAPP(hAPP(c_List_Ozip(_u16528, _u16529), c_Enum_Oenum__class_Oenum(_u16528)), _u16530))) != hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u16529), _u16529, _u16528, c_Option_Othe(_u16529)), hAPP(c_Map_Omap__of(_u16528, _u16529), hAPP(hAPP(c_List_Ozip(_u16528, _u16529), c_Enum_Oenum__class_Oenum(_u16528)), _u16531)))) | ( _u16530 = _u16531) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__prod__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__prod__def-1, axiom, ( ~class_Enum_Oenum(_u16532) | ~class_Enum_Oenum(_u16533) | ( c_Enum_Oenum__class_Oenum(tc_prod(_u16532, _u16533)) = c_Enum_Oproduct(_u16532, _u16533, c_Enum_Oenum__class_Oenum(_u16532), c_Enum_Oenum__class_Oenum(_u16533))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__distinct ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__distinct-1, axiom, ( ~class_Enum_Oenum(_u16534) | hBOOL(hAPP(c_List_Odistinct(_u16534), c_Enum_Oenum__class_Oenum(_u16534))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__option__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__option__def-1, axiom, ( ~class_Enum_Oenum(_u16535) | ( c_Enum_Oenum__class_Oenum(tc_Option_Ooption(_u16535)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(_u16535)), c_Option_Ooption_ONone(_u16535)), hAPP(hAPP(c_List_Omap(_u16535, tc_Option_Ooption(_u16535)), c_Option_Ooption_OSome(_u16535)), c_Enum_Oenum__class_Oenum(_u16535)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__enum ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__enum-1, axiom, ( ~class_Enum_Oenum(_u16536) | hBOOL(hAPP(hAPP(c_member(_u16536), _u16537), hAPP(c_List_Oset(_u16536), c_Enum_Oenum__class_Oenum(_u16536)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_UNIV__enum ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_UNIV__enum-1, axiom, ( ~class_Enum_Oenum(_u16538) | ( c_Orderings_Otop__class_Otop(tc_fun(_u16538, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16538), c_Enum_Oenum__class_Oenum(_u16538))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__UNIV ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__UNIV-1, axiom, ( ~class_Enum_Oenum(_u16539) | ( hAPP(c_List_Oset(_u16539), c_Enum_Oenum__class_Oenum(_u16539)) = c_Orderings_Otop__class_Otop(tc_fun(_u16539, tc_HOL_Obool))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__fun__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__fun__code-1, axiom, ( ~class_Enum_Oenum(_u16540) | ~class_HOL_Oequal(_u16540) | ~class_Enum_Oenum(_u16541) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u16540, _u16541)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16541), tc_fun(_u16540, _u16541)), hAPP(hAPP(c_COMBB(tc_fun(_u16540, tc_Option_Ooption(_u16541)), tc_fun(_u16540, _u16541), tc_List_Olist(_u16541)), c_Fun_Ocomp(tc_Option_Ooption(_u16541), _u16541, _u16540, c_Option_Othe(_u16541))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16540, _u16541)), tc_fun(_u16540, tc_Option_Ooption(_u16541)), tc_List_Olist(_u16541)), c_Map_Omap__of(_u16540, _u16541)), hAPP(c_List_Ozip(_u16540, _u16541), c_Enum_Oenum__class_Oenum(_u16540))))), c_Enum_On__lists(_u16541, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16540)), c_Enum_Oenum__class_Oenum(_u16540)), c_Enum_Oenum__class_Oenum(_u16541)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__fun__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__fun__def-1, axiom, ( ~class_Enum_Oenum(_u16542) | ~class_Enum_Oenum(_u16543) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u16542, _u16543)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16543), tc_fun(_u16542, _u16543)), hAPP(hAPP(c_COMBB(tc_fun(_u16542, tc_Option_Ooption(_u16543)), tc_fun(_u16542, _u16543), tc_List_Olist(_u16543)), c_Fun_Ocomp(tc_Option_Ooption(_u16543), _u16543, _u16542, c_Option_Othe(_u16543))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16542, _u16543)), tc_fun(_u16542, tc_Option_Ooption(_u16543)), tc_List_Olist(_u16543)), c_Map_Omap__of(_u16542, _u16543)), hAPP(c_List_Ozip(_u16542, _u16543), c_Enum_Oenum__class_Oenum(_u16542))))), c_Enum_On__lists(_u16543, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), c_Enum_Oenum__class_Oenum(_u16542)), c_Enum_Oenum__class_Oenum(_u16543)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__ex__fun__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__ex__fun__def-1, axiom, ( ~class_Enum_Oenum(_u16544) | ~class_Enum_Oenum(_u16545) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16545, _u16544)), _u16546)) | c_Enum_Oex__n__lists(_u16544, hAPP(hAPP(c_COMBB(tc_fun(_u16545, _u16544), tc_HOL_Obool, tc_List_Olist(_u16544)), _u16546), hAPP(hAPP(c_COMBB(tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_fun(_u16545, _u16544), tc_List_Olist(_u16544)), c_Fun_Ocomp(tc_Option_Ooption(_u16544), _u16544, _u16545, c_Option_Othe(_u16544))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16545, _u16544)), tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_List_Olist(_u16544)), c_Map_Omap__of(_u16545, _u16544)), hAPP(c_List_Ozip(_u16545, _u16544), c_Enum_Oenum__class_Oenum(_u16545))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), c_Enum_Oenum__class_Oenum(_u16545))) )).
% 12.21/12.42 cnf(fact_enum__ex__fun__def-2, axiom, ( ~class_Enum_Oenum(_u16544) | ~class_Enum_Oenum(_u16545) | ~c_Enum_Oex__n__lists(_u16544, hAPP(hAPP(c_COMBB(tc_fun(_u16545, _u16544), tc_HOL_Obool, tc_List_Olist(_u16544)), _u16546), hAPP(hAPP(c_COMBB(tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_fun(_u16545, _u16544), tc_List_Olist(_u16544)), c_Fun_Ocomp(tc_Option_Ooption(_u16544), _u16544, _u16545, c_Option_Othe(_u16544))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16545, _u16544)), tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_List_Olist(_u16544)), c_Map_Omap__of(_u16545, _u16544)), hAPP(c_List_Ozip(_u16545, _u16544), c_Enum_Oenum__class_Oenum(_u16545))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), c_Enum_Oenum__class_Oenum(_u16545))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16545, _u16544)), _u16546)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__ex__fun__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__ex__fun__code-1, axiom, ( ~class_Enum_Oenum(_u16547) | ~class_Enum_Oenum(_u16548) | ~class_HOL_Oequal(_u16548) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16548, _u16547)), _u16549)) | c_Enum_Oex__n__lists(_u16547, hAPP(hAPP(c_COMBB(tc_fun(_u16548, _u16547), tc_HOL_Obool, tc_List_Olist(_u16547)), _u16549), hAPP(hAPP(c_COMBB(tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_fun(_u16548, _u16547), tc_List_Olist(_u16547)), c_Fun_Ocomp(tc_Option_Ooption(_u16547), _u16547, _u16548, c_Option_Othe(_u16547))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16548, _u16547)), tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_List_Olist(_u16547)), c_Map_Omap__of(_u16548, _u16547)), hAPP(c_List_Ozip(_u16548, _u16547), c_Enum_Oenum__class_Oenum(_u16548))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16548)), c_Enum_Oenum__class_Oenum(_u16548))) )).
% 12.21/12.42 cnf(fact_enum__ex__fun__code-2, axiom, ( ~class_Enum_Oenum(_u16547) | ~class_Enum_Oenum(_u16548) | ~class_HOL_Oequal(_u16548) | ~c_Enum_Oex__n__lists(_u16547, hAPP(hAPP(c_COMBB(tc_fun(_u16548, _u16547), tc_HOL_Obool, tc_List_Olist(_u16547)), _u16549), hAPP(hAPP(c_COMBB(tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_fun(_u16548, _u16547), tc_List_Olist(_u16547)), c_Fun_Ocomp(tc_Option_Ooption(_u16547), _u16547, _u16548, c_Option_Othe(_u16547))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16548, _u16547)), tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_List_Olist(_u16547)), c_Map_Omap__of(_u16548, _u16547)), hAPP(c_List_Ozip(_u16548, _u16547), c_Enum_Oenum__class_Oenum(_u16548))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16548)), c_Enum_Oenum__class_Oenum(_u16548))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16548, _u16547)), _u16549)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_ex__n__lists__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_ex__n__lists__def-1, axiom, ( ~class_Enum_Oenum(_u16552) | ~c_Enum_Oex__n__lists(_u16552, _u16553, _u16554) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16552)), skolem420(_u16554, _u16553, _u16552)), hAPP(c_List_Oset(tc_List_Olist(_u16552)), c_Enum_On__lists(_u16552, _u16554, c_Enum_Oenum__class_Oenum(_u16552))))) )).
% 12.21/12.42 cnf(fact_ex__n__lists__def-2, axiom, ( ~class_Enum_Oenum(_u16552) | ~c_Enum_Oex__n__lists(_u16552, _u16553, _u16554) | hBOOL(hAPP(_u16553, skolem420(_u16554, _u16553, _u16552))) )).
% 12.21/12.42 cnf(fact_ex__n__lists__def-3, axiom, ( ~class_Enum_Oenum(_u16552) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16552)), _u16551), hAPP(c_List_Oset(tc_List_Olist(_u16552)), c_Enum_On__lists(_u16552, _u16554, c_Enum_Oenum__class_Oenum(_u16552))))) | ~hBOOL(hAPP(_u16553, _u16551)) | c_Enum_Oex__n__lists(_u16552, _u16553, _u16554) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__all__fun__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__all__fun__def-1, axiom, ( ~class_Enum_Oenum(_u16555) | ~class_Enum_Oenum(_u16556) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16556, _u16555)), _u16557)) | c_Enum_Oall__n__lists(_u16555, hAPP(hAPP(c_COMBB(tc_fun(_u16556, _u16555), tc_HOL_Obool, tc_List_Olist(_u16555)), _u16557), hAPP(hAPP(c_COMBB(tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_fun(_u16556, _u16555), tc_List_Olist(_u16555)), c_Fun_Ocomp(tc_Option_Ooption(_u16555), _u16555, _u16556, c_Option_Othe(_u16555))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16556, _u16555)), tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_List_Olist(_u16555)), c_Map_Omap__of(_u16556, _u16555)), hAPP(c_List_Ozip(_u16556, _u16555), c_Enum_Oenum__class_Oenum(_u16556))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16556)), c_Enum_Oenum__class_Oenum(_u16556))) )).
% 12.21/12.42 cnf(fact_enum__all__fun__def-2, axiom, ( ~class_Enum_Oenum(_u16555) | ~class_Enum_Oenum(_u16556) | ~c_Enum_Oall__n__lists(_u16555, hAPP(hAPP(c_COMBB(tc_fun(_u16556, _u16555), tc_HOL_Obool, tc_List_Olist(_u16555)), _u16557), hAPP(hAPP(c_COMBB(tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_fun(_u16556, _u16555), tc_List_Olist(_u16555)), c_Fun_Ocomp(tc_Option_Ooption(_u16555), _u16555, _u16556, c_Option_Othe(_u16555))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16556, _u16555)), tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_List_Olist(_u16555)), c_Map_Omap__of(_u16556, _u16555)), hAPP(c_List_Ozip(_u16556, _u16555), c_Enum_Oenum__class_Oenum(_u16556))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16556)), c_Enum_Oenum__class_Oenum(_u16556))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16556, _u16555)), _u16557)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_enum__all__fun__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_enum__all__fun__code-1, axiom, ( ~class_Enum_Oenum(_u16558) | ~class_Enum_Oenum(_u16559) | ~class_HOL_Oequal(_u16559) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16559, _u16558)), _u16560)) | c_Enum_Oall__n__lists(_u16558, hAPP(hAPP(c_COMBB(tc_fun(_u16559, _u16558), tc_HOL_Obool, tc_List_Olist(_u16558)), _u16560), hAPP(hAPP(c_COMBB(tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_fun(_u16559, _u16558), tc_List_Olist(_u16558)), c_Fun_Ocomp(tc_Option_Ooption(_u16558), _u16558, _u16559, c_Option_Othe(_u16558))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16559, _u16558)), tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_List_Olist(_u16558)), c_Map_Omap__of(_u16559, _u16558)), hAPP(c_List_Ozip(_u16559, _u16558), c_Enum_Oenum__class_Oenum(_u16559))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16559)), c_Enum_Oenum__class_Oenum(_u16559))) )).
% 12.21/12.42 cnf(fact_enum__all__fun__code-2, axiom, ( ~class_Enum_Oenum(_u16558) | ~class_Enum_Oenum(_u16559) | ~class_HOL_Oequal(_u16559) | ~c_Enum_Oall__n__lists(_u16558, hAPP(hAPP(c_COMBB(tc_fun(_u16559, _u16558), tc_HOL_Obool, tc_List_Olist(_u16558)), _u16560), hAPP(hAPP(c_COMBB(tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_fun(_u16559, _u16558), tc_List_Olist(_u16558)), c_Fun_Ocomp(tc_Option_Ooption(_u16558), _u16558, _u16559, c_Option_Othe(_u16558))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16559, _u16558)), tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_List_Olist(_u16558)), c_Map_Omap__of(_u16559, _u16558)), hAPP(c_List_Ozip(_u16559, _u16558), c_Enum_Oenum__class_Oenum(_u16559))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16559)), c_Enum_Oenum__class_Oenum(_u16559))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16559, _u16558)), _u16560)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_all__n__lists__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_all__n__lists__def-1, axiom, ( ~class_Enum_Oenum(_u16563) | ~c_Enum_Oall__n__lists(_u16563, _u16564, _u16565) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16563)), _u16561), hAPP(c_List_Oset(tc_List_Olist(_u16563)), c_Enum_On__lists(_u16563, _u16565, c_Enum_Oenum__class_Oenum(_u16563))))) | hBOOL(hAPP(_u16564, _u16561)) )).
% 12.21/12.42 cnf(fact_all__n__lists__def-2, axiom, ( ~class_Enum_Oenum(_u16563) | c_Enum_Oall__n__lists(_u16563, _u16564, _u16565) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16563)), skolem421(_u16565, _u16564, _u16563)), hAPP(c_List_Oset(tc_List_Olist(_u16563)), c_Enum_On__lists(_u16563, _u16565, c_Enum_Oenum__class_Oenum(_u16563))))) )).
% 12.21/12.42 cnf(fact_all__n__lists__def-3, axiom, ( ~class_Enum_Oenum(_u16563) | c_Enum_Oall__n__lists(_u16563, _u16564, _u16565) | ~hBOOL(hAPP(_u16564, skolem421(_u16565, _u16564, _u16563))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u16566, _u16567)), hAPP(hAPP(c_List_Ozip(_u16566, _u16567), _u16568), _u16569)) = hAPP(c_Set_OCollect(tc_prod(_u16566, _u16567)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u16566, _u16567)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u16566, _u16567), 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(_u16566, _u16567)), 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(_u16566, _u16567)), 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(_u16566, _u16567), tc_fun(tc_Nat_Onat, tc_prod(_u16566, _u16567)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16566, _u16567), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u16566, _u16567)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u16566, _u16567)), c_COMBB(tc_prod(_u16566, _u16567), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u16567, tc_prod(_u16566, _u16567)), hAPP(hAPP(c_COMBB(_u16566, tc_fun(_u16567, tc_prod(_u16566, _u16567)), tc_Nat_Onat), c_Product__Type_OPair(_u16566, _u16567)), hAPP(c_List_Onth(_u16566), _u16568))), hAPP(c_List_Onth(_u16567), _u16569)))))), 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(_u16566)), _u16568)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16567)), _u16569))))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16570, _u16570), tc_HOL_Obool)), _u16571), hAPP(hAPP(c_Product__Type_OSigma(_u16570, _u16570), _u16572), hAPP(c_COMBK(tc_fun(_u16570, tc_HOL_Obool), _u16570), _u16572)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16570), tc_List_Olist(_u16570)), tc_HOL_Obool)), c_List_Olistrel(_u16570, _u16571)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u16570), tc_List_Olist(_u16570)), c_List_Olists(_u16570, _u16572)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16570), tc_HOL_Obool), tc_List_Olist(_u16570)), c_List_Olists(_u16570, _u16572))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16573), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16574)), _u16575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16573), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16576)), _u16577))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u16574, _u16576)), hAPP(hAPP(c_List_Ozip(_u16574, _u16576), _u16575), _u16577)), _u16573) = hAPP(hAPP(c_Product__Type_OPair(_u16574, _u16576), hAPP(hAPP(c_List_Onth(_u16574), _u16575), _u16573)), hAPP(hAPP(c_List_Onth(_u16576), _u16577), _u16573))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u16583 != _u16585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16587)), _u16583) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16587)), _u16585)) )).
% 12.21/12.42 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u16583 != _u16585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16578), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16587)), _u16583))) | ( hAPP(hAPP(c_List_Onth(_u16587), _u16583), _u16578) = hAPP(hAPP(c_List_Onth(_u16587), _u16585), _u16578)) )).
% 12.21/12.42 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u16584 = _u16586) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16584) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem422(_u16588, _u16586, _u16584)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16584))) )).
% 12.21/12.42 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u16584 = _u16586) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16584) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16586)) | ( hAPP(hAPP(c_List_Onth(_u16588), _u16584), skolem422(_u16588, _u16586, _u16584)) != hAPP(hAPP(c_List_Onth(_u16588), _u16586), skolem422(_u16588, _u16586, _u16584))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16589, tc_HOL_Obool)), _u16590), _u16591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u16589), tc_HOL_Obool)), c_List_Olists(_u16589, _u16590)), c_List_Olists(_u16589, _u16591))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16592), hAPP(hAPP(c_List_Olist_OCons(_u16592), _u16593), _u16594)), _u16595) = c_Nat_Onat_Onat__case(_u16592, _u16593, hAPP(c_List_Onth(_u16592), _u16594), _u16595)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16596), hAPP(hAPP(c_List_Olist_OCons(_u16596), _u16597), _u16598)), hAPP(c_Nat_OSuc, _u16599)) = hAPP(hAPP(c_List_Onth(_u16596), _u16598), _u16599)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16600), hAPP(hAPP(c_List_Olist_OCons(_u16600), _u16601), _u16602)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u16601) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16610)), _u16612))) | hBOOL(hAPP(_u16614, hAPP(hAPP(c_List_Onth(_u16610), _u16612), _u16604))) | hBOOL(hAPP(hAPP(c_member(_u16610), skolem423(_u16614, _u16612, _u16610)), hAPP(c_List_Oset(_u16610), _u16612))) )).
% 12.21/12.42 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16610)), _u16612))) | hBOOL(hAPP(_u16614, hAPP(hAPP(c_List_Onth(_u16610), _u16612), _u16604))) | ~hBOOL(hAPP(_u16614, skolem423(_u16614, _u16612, _u16610))) )).
% 12.21/12.42 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16611), _u16606), hAPP(c_List_Oset(_u16611), _u16613))) | hBOOL(hAPP(_u16615, _u16606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem424(_u16615, _u16613, _u16611)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16611)), _u16613))) )).
% 12.21/12.42 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16611), _u16606), hAPP(c_List_Oset(_u16611), _u16613))) | hBOOL(hAPP(_u16615, _u16606)) | ~hBOOL(hAPP(_u16615, hAPP(hAPP(c_List_Onth(_u16611), _u16613), skolem424(_u16615, _u16613, _u16611)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16617)), _u16618))) | ( hAPP(hAPP(c_List_Onth(_u16619), hAPP(hAPP(c_List_Omap(_u16617, _u16619), _u16620), _u16618)), _u16616) = hAPP(_u16620, hAPP(hAPP(c_List_Onth(_u16617), _u16618), _u16616))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16627), _u16629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16622), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16627)), _u16629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16627)), _u16629))) | ( _u16622 = _u16621) | ( hAPP(hAPP(c_List_Onth(_u16627), _u16629), _u16622) != hAPP(hAPP(c_List_Onth(_u16627), _u16629), _u16621)) )).
% 12.21/12.42 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem425(_u16630, _u16628)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16628)), _u16630))) )).
% 12.21/12.42 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem426(_u16630, _u16628)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16628)), _u16630))) )).
% 12.21/12.42 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | ( skolem425(_u16630, _u16628) != skolem426(_u16630, _u16628)) )).
% 12.21/12.42 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | ( hAPP(hAPP(c_List_Onth(_u16628), _u16630), skolem425(_u16630, _u16628)) = hAPP(hAPP(c_List_Onth(_u16628), _u16630), skolem426(_u16630, _u16628))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16631), _u16632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16634), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ( hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16633) != hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16634)) | ( _u16633 = _u16634) )).
% 12.21/12.42 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16631), _u16632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16634), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ( _u16633 != _u16634) | ( hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16633) = hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16634)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u16635, c_Orderings_Otop__class_Otop(tc_fun(_u16635, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16635), tc_HOL_Obool))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u16636, _u16637, _u16638) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u16636), c_List_Olists(_u16636, _u16637), c_List_Olistrel(_u16636, _u16638)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u16639, _u16640, _u16641) | c_Relation_Orefl__on(tc_List_Olist(_u16639), c_List_Olists(_u16639, _u16640), c_List_Olistrel(_u16639, _u16641)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16642), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16643), _u16642)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16643))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16649), _u16651), hAPP(c_List_Oset(_u16649), _u16653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem427(_u16653, _u16651, _u16649)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16649)), _u16653))) )).
% 12.21/12.42 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16649), _u16651), hAPP(c_List_Oset(_u16649), _u16653))) | ( hAPP(hAPP(c_List_Onth(_u16649), _u16653), skolem427(_u16653, _u16651, _u16649)) = _u16651) )).
% 12.21/12.42 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16645), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16650)), _u16654))) | ( hAPP(hAPP(c_List_Onth(_u16650), _u16654), _u16645) != _u16652) | hBOOL(hAPP(hAPP(c_member(_u16650), _u16652), hAPP(c_List_Oset(_u16650), _u16654))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16655), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16656)), _u16657))) | hBOOL(hAPP(hAPP(c_member(_u16656), hAPP(hAPP(c_List_Onth(_u16656), _u16657), _u16655)), hAPP(c_List_Oset(_u16656), _u16657))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__Cons_H-1, axiom, ( ( _u16662 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16664), hAPP(hAPP(c_List_Olist_OCons(_u16664), _u16666), _u16668)), _u16662) = _u16666) )).
% 12.21/12.42 cnf(fact_nth__Cons_H-2, axiom, ( ( _u16663 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16665), hAPP(hAPP(c_List_Olist_OCons(_u16665), _u16667), _u16669)), _u16663) = hAPP(hAPP(c_List_Onth(_u16665), _u16669), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16663), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u16670), _u16671) = hAPP(c_Set_OCollect(_u16670), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u16670), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u16670, 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)), _u16670), 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)), _u16670), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u16670, tc_fun(tc_Nat_Onat, _u16670), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16670, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u16670), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u16670), c_COMBB(_u16670, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u16670), _u16671))))), 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(_u16670)), _u16671)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16676)), hAPP(hAPP(c_List_Olist_OCons(_u16676), _u16678), _u16680)), c_List_Olists(_u16676, _u16682))) | hBOOL(hAPP(hAPP(c_member(_u16676), _u16678), _u16682)) )).
% 12.21/12.42 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16676)), hAPP(hAPP(c_List_Olist_OCons(_u16676), _u16678), _u16680)), c_List_Olists(_u16676, _u16682))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16676)), _u16680), c_List_Olists(_u16676, _u16682))) )).
% 12.21/12.42 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16677), _u16679), _u16683)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16677)), _u16681), c_List_Olists(_u16677, _u16683))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16679), _u16681)), c_List_Olists(_u16677, _u16683))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16689)), _u16691), c_List_Olists(_u16689, _u16693))) | ~hBOOL(hAPP(hAPP(c_member(_u16689), _u16684), hAPP(c_List_Oset(_u16689), _u16691))) | hBOOL(hAPP(hAPP(c_member(_u16689), _u16684), _u16693)) )).
% 12.21/12.42 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16690)), _u16692), c_List_Olists(_u16690, _u16694))) | hBOOL(hAPP(hAPP(c_member(_u16690), skolem428(_u16694, _u16692, _u16690)), hAPP(c_List_Oset(_u16690), _u16692))) )).
% 12.21/12.42 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16690)), _u16692), c_List_Olists(_u16690, _u16694))) | ~hBOOL(hAPP(hAPP(c_member(_u16690), skolem428(_u16694, _u16692, _u16690)), _u16694)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16699) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16701), hAPP(hAPP(c_List_Olist_OCons(_u16701), _u16703), _u16705)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16699)) = _u16703) )).
% 12.21/12.42 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16700) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16702), hAPP(hAPP(c_List_Olist_OCons(_u16702), _u16704), _u16706)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16700)) = hAPP(hAPP(c_List_Onth(_u16702), _u16706), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16700)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u16707, _u16708) = hAPP(c_Set_OCollect(tc_List_Olist(_u16707)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16707), tc_fun(_u16707, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16707, tc_HOL_Obool), tc_fun(tc_fun(_u16707, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16707)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16707, tc_HOL_Obool))), c_List_Oset(_u16707))), _u16708))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16709) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16709), _u16710) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16709), hAPP(c_List_Onth(_u16709), _u16710)), 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(_u16709)), _u16710)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u16711), c_List_Osublist(_u16711, _u16712, _u16713)) = hAPP(c_Set_OCollect(_u16711), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u16711), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u16711, 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)), _u16711), 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)), _u16711), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u16711, tc_fun(tc_Nat_Onat, _u16711), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16711, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u16711), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u16711), c_COMBB(_u16711, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u16711), _u16712))))), 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(_u16711)), _u16712)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u16713)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16720), tc_List_Olist(_u16720))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16720), tc_List_Olist(_u16720)), _u16722), _u16724)), c_List_Olistrel(_u16720, _u16726))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16720)), _u16722) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16720)), _u16724)) )).
% 12.21/12.42 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16720), tc_List_Olist(_u16720))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16720), tc_List_Olist(_u16720)), _u16722), _u16724)), c_List_Olistrel(_u16720, _u16726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16714), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16720)), _u16722))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16720, _u16720)), hAPP(hAPP(c_Product__Type_OPair(_u16720, _u16720), hAPP(hAPP(c_List_Onth(_u16720), _u16722), _u16714)), hAPP(hAPP(c_List_Onth(_u16720), _u16724), _u16714))), _u16726)) )).
% 12.21/12.42 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16721), tc_List_Olist(_u16721))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16721), tc_List_Olist(_u16721)), _u16723), _u16725)), c_List_Olistrel(_u16721, _u16727))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16723) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem429(_u16727, _u16725, _u16723, _u16721)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16723))) )).
% 12.21/12.42 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16721), tc_List_Olist(_u16721))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16721), tc_List_Olist(_u16721)), _u16723), _u16725)), c_List_Olistrel(_u16721, _u16727))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16723) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16725)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16721, _u16721)), hAPP(hAPP(c_Product__Type_OPair(_u16721, _u16721), hAPP(hAPP(c_List_Onth(_u16721), _u16723), skolem429(_u16727, _u16725, _u16723, _u16721))), hAPP(hAPP(c_List_Onth(_u16721), _u16725), skolem429(_u16727, _u16725, _u16723, _u16721)))), _u16727)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16728)), _u16729), c_List_Olists(_u16728, c_Wellfounded_Oacc(_u16728, _u16730)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16728)), _u16729), c_Wellfounded_Oacc(tc_List_Olist(_u16728), c_List_Olistrel1(_u16728, _u16730)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16731)), _u16732), c_Wellfounded_Oacc(tc_List_Olist(_u16731), c_List_Olistrel1(_u16731, _u16733)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16731)), _u16732), c_List_Olists(_u16731, c_Wellfounded_Oacc(_u16731, _u16733)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u16746, _u16744, _u16742, _u16740)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744)))) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744))) | ( hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16742) = hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16744)) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16740, _u16740)), hAPP(hAPP(c_Product__Type_OPair(_u16740, _u16740), hAPP(hAPP(c_List_Onth(_u16740), _u16742), skolem430(_u16746, _u16744, _u16742, _u16740))), hAPP(hAPP(c_List_Onth(_u16740), _u16744), skolem430(_u16746, _u16744, _u16742, _u16740)))), _u16746)) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | ( hAPP(hAPP(c_List_Otake(_u16740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), _u16744) = _u16742) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u16746, _u16744, _u16742, _u16740)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744)))) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | ( hAPP(hAPP(c_List_Otake(_u16740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), _u16744) = _u16742) | ( hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16742) = hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16744)) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | ( hAPP(hAPP(c_List_Otake(_u16740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), _u16744) = _u16742) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16740, _u16740)), hAPP(hAPP(c_Product__Type_OPair(_u16740, _u16740), hAPP(hAPP(c_List_Onth(_u16740), _u16742), skolem430(_u16746, _u16744, _u16742, _u16740))), hAPP(hAPP(c_List_Onth(_u16740), _u16744), skolem430(_u16746, _u16744, _u16742, _u16740)))), _u16746)) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16741), tc_List_Olist(_u16741))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16741), tc_List_Olist(_u16741)), _u16743), _u16745)), c_List_Olexord(_u16741, _u16747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16743)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16745))) | ( hAPP(hAPP(c_List_Otake(_u16741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16743)), _u16745) != _u16743) )).
% 12.21/12.42 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16741), tc_List_Olist(_u16741))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16741), tc_List_Olist(_u16741)), _u16743), _u16745)), c_List_Olexord(_u16741, _u16747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16735), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16743)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16745)))) | ( hAPP(hAPP(c_List_Otake(_u16741), _u16735), _u16743) != hAPP(hAPP(c_List_Otake(_u16741), _u16735), _u16745)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16741, _u16741)), hAPP(hAPP(c_Product__Type_OPair(_u16741, _u16741), hAPP(hAPP(c_List_Onth(_u16741), _u16743), _u16735)), hAPP(hAPP(c_List_Onth(_u16741), _u16745), _u16735))), _u16747)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16749)), _u16750))) | ( hAPP(c_Random_Opick(_u16749, hAPP(hAPP(c_List_Omap(_u16749, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16749)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16749), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16750)), hAPP(c_Code__Numeral_Oof__nat, _u16748)) = hAPP(hAPP(c_List_Onth(_u16749), _u16750), _u16748)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16751), _u16752)) | ( hAPP(hAPP(c_List_Onth(_u16753), hAPP(hAPP(c_List_Otake(_u16753), _u16752), _u16754)), _u16751) = hAPP(hAPP(c_List_Onth(_u16753), _u16754), _u16751)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16755), _u16756), hAPP(hAPP(c_List_Omap(_u16757, _u16755), _u16758), _u16759)) = hAPP(hAPP(c_List_Omap(_u16757, _u16755), _u16758), hAPP(hAPP(c_List_Otake(_u16757), _u16756), _u16759))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16760), hAPP(c_Nat_OSuc, _u16761)), hAPP(hAPP(c_List_Olist_OCons(_u16760), _u16762), _u16763)) = hAPP(hAPP(c_List_Olist_OCons(_u16760), _u16762), hAPP(hAPP(c_List_Otake(_u16760), _u16761), _u16763))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u16764, _u16765)), _u16766), hAPP(hAPP(c_List_Ozip(_u16764, _u16765), _u16767), _u16768)) = hAPP(hAPP(c_List_Ozip(_u16764, _u16765), hAPP(hAPP(c_List_Otake(_u16764), _u16766), _u16767)), hAPP(hAPP(c_List_Otake(_u16765), _u16766), _u16768))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16769), _u16770), hAPP(c_List_Oset(_u16769), hAPP(hAPP(c_List_Otake(_u16769), _u16771), _u16772)))) | hBOOL(hAPP(hAPP(c_member(_u16769), _u16770), hAPP(c_List_Oset(_u16769), _u16772))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16773, tc_HOL_Obool)), hAPP(c_List_Oset(_u16773), hAPP(hAPP(c_List_Otake(_u16773), _u16774), _u16775))), hAPP(c_List_Oset(_u16773), _u16775))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u16776, _u16777, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u16778)) = hAPP(hAPP(c_List_Otake(_u16776), _u16778), _u16777)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Code__Numeral_Oof__nat__code-1, axiom, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_times__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16779)), hAPP(c_Code__Numeral_Oof__nat, _u16780)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16779), _u16780))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u16783) != hAPP(c_Code__Numeral_Oof__nat, _u16785)) | ( _u16783 = _u16785) )).
% 12.21/12.42 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u16784 != _u16786) | ( hAPP(c_Code__Numeral_Oof__nat, _u16784) = hAPP(c_Code__Numeral_Oof__nat, _u16786)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16787), _u16788), hAPP(hAPP(c_List_Otake(_u16787), _u16789), _u16790)) = hAPP(hAPP(c_List_Otake(_u16787), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u16788), _u16789)), _u16790)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zero__code__numeral__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16791), _u16792)) | hBOOL(hAPP(c_List_Odistinct(_u16791), hAPP(hAPP(c_List_Otake(_u16791), _u16793), _u16792))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16794)), hAPP(hAPP(c_List_Otake(_u16794), _u16795), _u16796)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16794)), _u16796)), _u16795)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__all ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__all-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16797)), _u16798)), _u16799)) | ( hAPP(hAPP(c_List_Otake(_u16797), _u16799), _u16798) = _u16798) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_one__code__numeral__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_less__code__numeral__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16802)), hAPP(c_Code__Numeral_Oof__nat, _u16804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16802), _u16804)) )).
% 12.21/12.42 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16803), _u16805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16803)), hAPP(c_Code__Numeral_Oof__nat, _u16805))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16806), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16807), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u16806) != hAPP(c_Code__Numeral_Oof__nat, _u16807)) | ( _u16806 = _u16807) )).
% 12.21/12.42 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16806), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16807), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u16806 != _u16807) | ( hAPP(c_Code__Numeral_Oof__nat, _u16806) = hAPP(c_Code__Numeral_Oof__nat, _u16807)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_number__of__code__numeral__def-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16808), _u16809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16810, tc_HOL_Obool)), hAPP(c_List_Oset(_u16810), hAPP(hAPP(c_List_Otake(_u16810), _u16808), _u16811))), hAPP(c_List_Oset(_u16810), hAPP(hAPP(c_List_Otake(_u16810), _u16809), _u16811)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_plus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16812)), hAPP(c_Code__Numeral_Oof__nat, _u16813)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16812), _u16813))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_less__eq__code__numeral__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16816)), hAPP(c_Code__Numeral_Oof__nat, _u16818))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16816), _u16818)) )).
% 12.21/12.42 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16817), _u16819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16817)), hAPP(c_Code__Numeral_Oof__nat, _u16819))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u16821 = 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)), _u16821)) )).
% 12.21/12.42 cnf(fact_code__numeral__not__eq__zero-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16822)) | ( _u16822 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16823), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16824))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u16824), _u16823), _u16825)) = 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), _u16824)), _u16825)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16824), _u16823))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16826), _u16827)) | hBOOL(hAPP(hAPP(c_member(_u16826), _u16828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16826, tc_HOL_Obool)), hAPP(c_List_Oset(_u16826), _u16827)), hAPP(hAPP(c_Set_Oinsert(_u16826), hAPP(hAPP(c_List_Onth(_u16826), _u16827), _u16829)), c_Orderings_Obot__class_Obot(tc_fun(_u16826, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u16826), hAPP(hAPP(c_List_Olist__update(_u16826, _u16827), _u16829), _u16828))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16830, _u16831), _u16832), hAPP(hAPP(c_List_Onth(_u16830), _u16831), _u16832)) = _u16831) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u16833 = _u16834) | ( hAPP(hAPP(c_List_Onth(_u16835), hAPP(hAPP(c_List_Olist__update(_u16835, _u16836), _u16833), _u16837)), _u16834) = hAPP(hAPP(c_List_Onth(_u16835), _u16836), _u16834)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16838, _u16839), _u16840), hAPP(hAPP(c_List_Olist__update(_u16838, _u16841), _u16842), _u16843)) = hAPP(hAPP(c_List_Olist__update(_u16839, hAPP(hAPP(c_List_Omap(_u16838, _u16839), _u16840), _u16841)), _u16842), hAPP(_u16840, _u16843))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16844)), hAPP(hAPP(c_List_Olist__update(_u16844, _u16845), _u16846), _u16847)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16844)), _u16845)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__beyond-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16848)), _u16849)), _u16850)) | ( hAPP(hAPP(c_List_Olist__update(_u16848, _u16849), _u16850), _u16851) = _u16849) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16852, hAPP(hAPP(c_List_Olist__update(_u16852, _u16853), _u16854), _u16855)), _u16854), _u16856) = hAPP(hAPP(c_List_Olist__update(_u16852, _u16853), _u16854), _u16856)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__swap-1, axiom, ( ( _u16857 = _u16858) | ( hAPP(hAPP(c_List_Olist__update(_u16859, hAPP(hAPP(c_List_Olist__update(_u16859, _u16860), _u16857), _u16861)), _u16858), _u16862) = hAPP(hAPP(c_List_Olist__update(_u16859, hAPP(hAPP(c_List_Olist__update(_u16859, _u16860), _u16858), _u16862)), _u16857), _u16861)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u16863, _u16864), hAPP(hAPP(c_List_Ozip(_u16863, _u16864), _u16865), _u16866)), _u16867), _u16868) = hAPP(hAPP(c_List_Ozip(_u16863, _u16864), hAPP(hAPP(c_List_Olist__update(_u16863, _u16865), _u16867), hAPP(c_Product__Type_Ofst(_u16863, _u16864), _u16868))), hAPP(hAPP(c_List_Olist__update(_u16864, _u16866), _u16867), hAPP(c_Product__Type_Osnd(_u16863, _u16864), _u16868)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16869, _u16870), hAPP(hAPP(c_List_Olist__update(_u16869, _u16871), _u16872), _u16873)), hAPP(hAPP(c_List_Olist__update(_u16870, _u16874), _u16872), _u16875)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u16869, _u16870), hAPP(hAPP(c_List_Ozip(_u16869, _u16870), _u16871), _u16874)), _u16872), hAPP(hAPP(c_Product__Type_OPair(_u16869, _u16870), _u16873), _u16875))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16876, hAPP(hAPP(c_List_Olist_OCons(_u16876), _u16877), _u16878)), _u16879), _u16880) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16876), hAPP(hAPP(c_List_Olist_OCons(_u16876), _u16880), _u16878), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16876), tc_List_Olist(_u16876), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16876), _u16877)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u16876, tc_List_Olist(_u16876)), c_List_Olist__update(_u16876, _u16878)), _u16880)), _u16879)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16881, hAPP(hAPP(c_List_Olist_OCons(_u16881), _u16882), _u16883)), hAPP(c_Nat_OSuc, _u16884)), _u16885) = hAPP(hAPP(c_List_Olist_OCons(_u16881), _u16882), hAPP(hAPP(c_List_Olist__update(_u16881, _u16883), _u16884), _u16885))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16886, hAPP(hAPP(c_List_Olist_OCons(_u16886), _u16887), _u16888)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16889) = hAPP(hAPP(c_List_Olist_OCons(_u16886), _u16889), _u16888)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16890, tc_HOL_Obool)), hAPP(c_List_Oset(_u16890), _u16891)), _u16892)) | ~hBOOL(hAPP(hAPP(c_member(_u16890), _u16893), _u16892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16890, tc_HOL_Obool)), hAPP(c_List_Oset(_u16890), hAPP(hAPP(c_List_Olist__update(_u16890, _u16891), _u16894), _u16893))), _u16892)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16895, tc_HOL_Obool)), hAPP(c_List_Oset(_u16895), hAPP(hAPP(c_List_Olist__update(_u16895, _u16896), _u16897), _u16898))), hAPP(hAPP(c_Set_Oinsert(_u16895), _u16898), hAPP(c_List_Oset(_u16895), _u16896)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16899), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16900)), _u16901))) | ( hAPP(hAPP(c_List_Onth(_u16900), hAPP(hAPP(c_List_Olist__update(_u16900, _u16901), _u16899), _u16902)), _u16899) = _u16902) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16903), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16904)), _u16905))) | ( hAPP(hAPP(c_List_Olist__update(_u16904, _u16905), _u16903), _u16906) != _u16905) | ( hAPP(hAPP(c_List_Onth(_u16904), _u16905), _u16903) = _u16906) )).
% 12.21/12.42 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16903), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16904)), _u16905))) | ( hAPP(hAPP(c_List_Onth(_u16904), _u16905), _u16903) != _u16906) | ( hAPP(hAPP(c_List_Olist__update(_u16904, _u16905), _u16903), _u16906) = _u16905) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16907), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16908)), _u16909))) | ( _u16907 != _u16910) | ( hAPP(hAPP(c_List_Onth(_u16908), hAPP(hAPP(c_List_Olist__update(_u16908, _u16909), _u16907), _u16911)), _u16910) = _u16911) )).
% 12.21/12.42 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16907), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16908)), _u16909))) | ( _u16907 = _u16910) | ( hAPP(hAPP(c_List_Onth(_u16908), hAPP(hAPP(c_List_Olist__update(_u16908, _u16909), _u16907), _u16911)), _u16910) = hAPP(hAPP(c_List_Onth(_u16908), _u16909), _u16910)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16912), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16913)), _u16914))) | hBOOL(hAPP(hAPP(c_member(_u16913), _u16915), hAPP(c_List_Oset(_u16913), hAPP(hAPP(c_List_Olist__update(_u16913, _u16914), _u16912), _u16915)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16924), tc_List_Olist(_u16924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16924), tc_List_Olist(_u16924)), _u16926), _u16928)), c_List_Olistrel1(_u16924, _u16930))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), hAPP(hAPP(c_List_Onth(_u16924), _u16926), skolem432(_u16930, _u16928, _u16926, _u16924))), skolem431(_u16930, _u16928, _u16926, _u16924))), _u16930)) )).
% 12.21/12.42 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16924), tc_List_Olist(_u16924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16924), tc_List_Olist(_u16924)), _u16926), _u16928)), c_List_Olistrel1(_u16924, _u16930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem432(_u16930, _u16928, _u16926, _u16924)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16924)), _u16926))) )).
% 12.21/12.42 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16924), tc_List_Olist(_u16924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16924), tc_List_Olist(_u16924)), _u16926), _u16928)), c_List_Olistrel1(_u16924, _u16930))) | ( _u16928 = hAPP(hAPP(c_List_Olist__update(_u16924, _u16926), skolem432(_u16930, _u16928, _u16926, _u16924)), skolem431(_u16930, _u16928, _u16926, _u16924))) )).
% 12.21/12.42 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16925, _u16925)), hAPP(hAPP(c_Product__Type_OPair(_u16925, _u16925), hAPP(hAPP(c_List_Onth(_u16925), _u16927), _u16918)), _u16919)), _u16931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16918), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16925)), _u16927))) | ( _u16929 != hAPP(hAPP(c_List_Olist__update(_u16925, _u16927), _u16918), _u16919)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16925), tc_List_Olist(_u16925))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16925), tc_List_Olist(_u16925)), _u16927), _u16929)), c_List_Olistrel1(_u16925, _u16931))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upd__upds__conv__if ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upd__upds__conv__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16939), _u16941), hAPP(c_List_Oset(_u16939), hAPP(hAPP(c_List_Otake(_u16939), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16943)), _u16945)), _u16947)))) | ( c_Map_Omap__upds(_u16939, _u16943, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16939, tc_Option_Ooption(_u16943)), _u16949), _u16941), hAPP(c_Option_Ooption_OSome(_u16943), _u16951)), _u16947, _u16945) = c_Map_Omap__upds(_u16939, _u16943, _u16949, _u16947, _u16945)) )).
% 12.21/12.42 cnf(fact_map__upd__upds__conv__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16940), _u16942), hAPP(c_List_Oset(_u16940), hAPP(hAPP(c_List_Otake(_u16940), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16944)), _u16946)), _u16948)))) | ( c_Map_Omap__upds(_u16940, _u16944, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16940, tc_Option_Ooption(_u16944)), _u16950), _u16942), hAPP(c_Option_Ooption_OSome(_u16944), _u16952)), _u16948, _u16946) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16940, tc_Option_Ooption(_u16944)), c_Map_Omap__upds(_u16940, _u16944, _u16950, _u16948, _u16946)), _u16942), hAPP(c_Option_Ooption_OSome(_u16944), _u16952))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__apply__nontin ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__apply__nontin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16953), _u16954), hAPP(c_List_Oset(_u16953), _u16955))) | ( hAPP(c_Map_Omap__upds(_u16953, _u16956, _u16957, _u16955, _u16958), _u16954) = hAPP(_u16957, _u16954)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__add__upds ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__add__upds-1, axiom, ( ( c_Map_Omap__add(_u16959, _u16960, _u16961, c_Map_Omap__upds(_u16959, _u16960, _u16962, _u16963, _u16964)) = c_Map_Omap__upds(_u16959, _u16960, c_Map_Omap__add(_u16959, _u16960, _u16961, _u16962), _u16963, _u16964)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__Cons-1, axiom, ( ( c_Map_Omap__upds(_u16965, _u16966, _u16967, hAPP(hAPP(c_List_Olist_OCons(_u16965), _u16968), _u16969), hAPP(hAPP(c_List_Olist_OCons(_u16966), _u16970), _u16971)) = c_Map_Omap__upds(_u16965, _u16966, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16965, tc_Option_Ooption(_u16966)), _u16967), _u16968), hAPP(c_Option_Ooption_OSome(_u16966), _u16970)), _u16969, _u16971)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__list__update2__drop ( axiom ) converted to clauses:
% 12.21/12.42 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(_u16972)), _u16973)), _u16974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16974), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16975)), _u16976))) | ( c_Map_Omap__upds(_u16972, _u16975, _u16977, _u16973, hAPP(hAPP(c_List_Olist__update(_u16975, _u16976), _u16974), _u16978)) = c_Map_Omap__upds(_u16972, _u16975, _u16977, _u16973, _u16976)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__twist ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__twist-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16979), _u16980), hAPP(c_List_Oset(_u16979), _u16981))) | ( c_Map_Omap__upds(_u16979, _u16982, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16979, tc_Option_Ooption(_u16982)), _u16983), _u16980), hAPP(c_Option_Ooption_OSome(_u16982), _u16984)), _u16981, _u16985) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16979, tc_Option_Ooption(_u16982)), c_Map_Omap__upds(_u16979, _u16982, _u16983, _u16981, _u16985)), _u16980), hAPP(c_Option_Ooption_OSome(_u16982), _u16984))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_restrict__map__upds ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_restrict__map__upds-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16986, tc_HOL_Obool)), hAPP(c_List_Oset(_u16986), _u16987)), _u16990)) | ( c_Map_Orestrict__map(_u16986, _u16988, c_Map_Omap__upds(_u16986, _u16988, _u16991, _u16987, _u16989), _u16990) = c_Map_Omap__upds(_u16986, _u16988, c_Map_Orestrict__map(_u16986, _u16988, _u16991, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16986, tc_HOL_Obool)), _u16990), hAPP(c_List_Oset(_u16986), _u16987))), _u16987, _u16989)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dom__map__upds ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dom__map__upds-1, axiom, ( ( c_Map_Odom(_u16992, _u16993, c_Map_Omap__upds(_u16992, _u16993, _u16994, _u16995, _u16996)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16992, tc_HOL_Obool)), hAPP(c_List_Oset(_u16992), hAPP(hAPP(c_List_Otake(_u16992), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16993)), _u16996)), _u16995))), c_Map_Odom(_u16992, _u16993, _u16994))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_select__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u16997, _u16998) = 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(_u16997, 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(_u16997)), _u16998)))), hAPP(hAPP(c_COMBB(_u16997, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u16997, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u16997, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u16997, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u16997), _u16998)), c_Code__Numeral_Onat__of)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u16999)), hAPP(c_Code__Numeral_Oof__nat, _u17000)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16999), _u17000))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17001)) = _u17001) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17002)) = _u17002) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17003)) = _u17003) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17006) != hAPP(c_Code__Numeral_Onat__of, _u17008)) | ( _u17006 = _u17008) )).
% 12.21/12.42 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17007 != _u17009) | ( hAPP(c_Code__Numeral_Onat__of, _u17007) = hAPP(c_Code__Numeral_Onat__of, _u17009)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17012) != hAPP(c_Code__Numeral_Onat__of, _u17014)) | ( _u17012 = _u17014) )).
% 12.21/12.42 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17013 != _u17015) | ( hAPP(c_Code__Numeral_Onat__of, _u17013) = hAPP(c_Code__Numeral_Onat__of, _u17015)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_type__definition__code__numeral-1, axiom, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17018), _u17020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17018)), hAPP(c_Code__Numeral_Onat__of, _u17020))) )).
% 12.21/12.42 cnf(fact_less__code__numeral__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17019)), hAPP(c_Code__Numeral_Onat__of, _u17021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17019), _u17021)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17022)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__of__number-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17023)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17023)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_int__of__def-1, axiom, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17026), _u17028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17026)), hAPP(c_Code__Numeral_Onat__of, _u17028))) )).
% 12.21/12.42 cnf(fact_less__eq__code__numeral__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17027)), hAPP(c_Code__Numeral_Onat__of, _u17029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17027), _u17029)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17030) = c_Code__Numeral_Onat__of__aux(_u17030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17031, _u17032) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17031)), _u17032)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17033) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17033)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17034), _u17035) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17034)), hAPP(c_Code__Numeral_Onat__of, _u17035)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17036), 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, _u17036)) = _u17036) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17037), _u17038) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17037)), hAPP(c_Code__Numeral_Onat__of, _u17038)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17039), _u17040) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17039)), hAPP(c_Code__Numeral_Onat__of, _u17040)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17041), _u17042) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17041), _u17042)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17043), _u17044) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17043)), hAPP(c_Code__Numeral_Onat__of, _u17044)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17045, _u17046) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17045), hAPP(c_Code__Numeral_Onat__of, _u17046)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17047 = 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, _u17047)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17047))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_select__weigth__select-1, axiom, ( ( _u17048 = c_List_Olist_ONil(_u17049)) | ( c_Random_Oselect__weight(_u17049, hAPP(hAPP(c_List_Omap(_u17049, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17049)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17049), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17048)) = c_Random_Oselect(_u17049, _u17048)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17051) | ~class_Groups_Oordered__ab__semigroup__add(_u17051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17051), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17054), _u17053))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17055), _u17053)))) | hBOOL(hAPP(hAPP(c_member(_u17052), skolem433(_u17055, _u17054, _u17053, _u17052, _u17051)), hAPP(c_List_Oset(_u17052), _u17053))) )).
% 12.21/12.42 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17051) | ~class_Groups_Oordered__ab__semigroup__add(_u17051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17051), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17054), _u17053))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17055), _u17053)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17051), hAPP(_u17054, skolem433(_u17055, _u17054, _u17053, _u17052, _u17051))), hAPP(_u17055, skolem433(_u17055, _u17054, _u17053, _u17052, _u17051)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17056)), c_List_Olist_ONil(_u17056)), c_List_Olists(_u17056, _u17057))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17058), tc_List_Olist(_u17058))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17058), tc_List_Olist(_u17058)), _u17059), c_List_Olist_ONil(_u17058))), c_List_Olistrel(_u17058, _u17060))) | ( _u17059 = c_List_Olist_ONil(_u17058)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17061), tc_List_Olist(_u17061))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17061), tc_List_Olist(_u17061)), c_List_Olist_ONil(_u17061)), _u17062)), c_List_Olistrel(_u17061, _u17063))) | ( _u17062 = c_List_Olist_ONil(_u17061)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17067), _u17069), _u17071) != c_List_Olist_ONil(_u17067)) | ( _u17069 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17071 = c_List_Olist_ONil(_u17067)) )).
% 12.21/12.42 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17068), _u17070), _u17072) = c_List_Olist_ONil(_u17068)) | ( _u17070 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17068), _u17070), _u17072) = c_List_Olist_ONil(_u17068)) | ( _u17072 != c_List_Olist_ONil(_u17068)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17073), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17074) = c_List_Olist_ONil(_u17073)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17075), _u17076), c_List_Olist_ONil(_u17075)) = c_List_Olist_ONil(_u17075)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u17077, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17078) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17077)), c_List_Olist_ONil(_u17077)), c_List_Olist_ONil(tc_List_Olist(_u17077)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_n__lists__Nil-1, axiom, ( ( _u17081 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17083, _u17081, c_List_Olist_ONil(_u17083)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17083)), c_List_Olist_ONil(_u17083)), c_List_Olist_ONil(tc_List_Olist(_u17083)))) )).
% 12.21/12.42 cnf(fact_n__lists__Nil-2, axiom, ( ( _u17082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17084, _u17082, c_List_Olist_ONil(_u17084)) = c_List_Olist_ONil(tc_List_Olist(_u17084))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u17085, c_List_Olist_ONil(_u17085)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17085)), c_List_Olist_ONil(_u17085)), c_List_Olist_ONil(tc_List_Olist(_u17085)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17086), _u17087), _u17088) != c_List_Olist_ONil(_u17086)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u17089) != hAPP(hAPP(c_List_Olist_OCons(_u17089), _u17090), _u17091)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17092, _u17093), c_List_Olist_ONil(_u17092)), _u17094) = c_List_Olist_ONil(tc_prod(_u17092, _u17093))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17095, _u17096), _u17097), c_List_Olist_ONil(_u17096)) = c_List_Olist_ONil(tc_prod(_u17095, _u17096))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u17098, _u17099, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u17098)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17100), _u17101)) | ( c_List_Oupto(_u17101, _u17100) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u17104), _u17106) != c_Orderings_Obot__class_Obot(tc_fun(_u17104, tc_HOL_Obool))) | ( _u17106 = c_List_Olist_ONil(_u17104)) )).
% 12.21/12.42 cnf(fact_set__empty-2, axiom, ( ( _u17107 != c_List_Olist_ONil(_u17105)) | ( hAPP(c_List_Oset(_u17105), _u17107) = c_Orderings_Obot__class_Obot(tc_fun(_u17105, tc_HOL_Obool))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u17110, tc_HOL_Obool)) != hAPP(c_List_Oset(_u17110), _u17112)) | ( _u17112 = c_List_Olist_ONil(_u17110)) )).
% 12.21/12.42 cnf(fact_set__empty2-2, axiom, ( ( _u17113 != c_List_Olist_ONil(_u17111)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u17111, tc_HOL_Obool)) = hAPP(c_List_Oset(_u17111), _u17113)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u17114), c_List_Olist_ONil(_u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17114, tc_HOL_Obool))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u17115, c_List_Olist_ONil(_u17115), _u17116) = c_List_Olist_ONil(_u17115)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u17117) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17117), c_List_Olist_ONil(_u17117)) = c_Groups_Ozero__class_Ozero(_u17117)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u17118, _u17119, _u17120, c_List_Olist_ONil(_u17118), _u17121) = _u17121) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__Cons__code_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__Cons__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u17122, _u17123), c_List_Olist_ONil(tc_prod(_u17122, _u17123))), _u17124) = c_Option_Ooption_ONone(_u17123)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u17125, _u17126, c_List_Olist_ONil(_u17125), _u17127) = c_List_Olist_ONil(tc_prod(_u17125, _u17126))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u17128, _u17129, c_List_Olist_ONil(_u17128)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u17130, _u17131, c_List_Olist_ONil(_u17130), c_List_Olist_ONil(_u17130)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u17132, _u17133, c_List_Olist_ONil(_u17132), c_List_Olist_ONil(_u17132)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17134), c_List_Olist_ONil(_u17134))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17135)), c_List_Olist_ONil(_u17135)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17138)), _u17140) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17140 = c_List_Olist_ONil(_u17138)) )).
% 12.21/12.42 cnf(fact_length__0__conv-2, axiom, ( ( _u17141 != c_List_Olist_ONil(_u17139)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17139)), _u17141) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17146, _u17148), _u17150), _u17152) != c_List_Olist_ONil(_u17148)) | ( _u17152 = c_List_Olist_ONil(_u17146)) )).
% 12.21/12.42 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u17153 != c_List_Olist_ONil(_u17147)) | ( hAPP(hAPP(c_List_Omap(_u17147, _u17149), _u17151), _u17153) = c_List_Olist_ONil(_u17149)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17154, _u17155), _u17156), c_List_Olist_ONil(_u17154)) = c_List_Olist_ONil(_u17155)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u17167 = c_List_Olist_ONil(_u17163)) | ( c_List_Olist_ONil(_u17161) != hAPP(hAPP(c_List_Omap(_u17163, _u17161), _u17165), _u17167)) )).
% 12.21/12.42 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u17168 != c_List_Olist_ONil(_u17164)) | ( c_List_Olist_ONil(_u17162) = hAPP(hAPP(c_List_Omap(_u17164, _u17162), _u17166), _u17168)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u17169, _u17170), c_List_Olist_ONil(tc_prod(_u17169, _u17170))), _u17171) = c_Option_Ooption_ONone(_u17170)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__Nil1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__Nil1-1, axiom, ( ( c_Map_Omap__upds(_u17172, _u17173, _u17174, c_List_Olist_ONil(_u17172), _u17175) = _u17174) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__Nil2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__Nil2-1, axiom, ( ( c_Map_Omap__upds(_u17176, _u17177, _u17178, _u17179, c_List_Olist_ONil(_u17177)) = _u17178) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u17180, c_List_Olist_ONil(_u17180)), _u17181), _u17182) = c_List_Olist_ONil(_u17180)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u17183, c_List_Olist_ONil(_u17183)), _u17184), _u17185) = c_List_Olist_ONil(_u17183)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u17190, _u17192), _u17194), _u17196) != c_List_Olist_ONil(_u17190)) | ( _u17192 = c_List_Olist_ONil(_u17190)) )).
% 12.21/12.42 cnf(fact_list__update__nonempty-2, axiom, ( ( _u17193 != c_List_Olist_ONil(_u17191)) | ( hAPP(hAPP(c_List_Olist__update(_u17191, _u17193), _u17195), _u17197) = c_List_Olist_ONil(_u17191)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__greater__0__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17200)), _u17202))) | ( _u17202 != c_List_Olist_ONil(_u17200)) )).
% 12.21/12.42 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u17203 = c_List_Olist_ONil(_u17201)) | 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(_u17201)), _u17203))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17204), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u17204), _u17205), _u17206)) = hAPP(hAPP(c_List_Olist_OCons(_u17204), _u17205), c_List_Olist_ONil(_u17204))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17207), tc_List_Olist(_u17207))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17207), tc_List_Olist(_u17207)), _u17208), c_List_Olist_ONil(_u17207))), c_List_Olistrel1(_u17207, _u17209))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17210), tc_List_Olist(_u17210))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17210), tc_List_Olist(_u17210)), c_List_Olist_ONil(_u17210)), _u17211)), c_List_Olistrel1(_u17210, _u17212))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17213), tc_List_Olist(_u17213))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17213), tc_List_Olist(_u17213)), c_List_Olist_ONil(_u17213)), c_List_Olist_ONil(_u17213))), c_List_Olistrel(_u17213, _u17214))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17215), tc_List_Olist(_u17215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17215), tc_List_Olist(_u17215)), _u17216), c_List_Olist_ONil(_u17215))), c_List_Olexord(_u17215, _u17217))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17218), tc_List_Olist(_u17218))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17218), tc_List_Olist(_u17218)), _u17219), c_List_Olist_ONil(_u17218))), c_List_Olex(_u17218, _u17220))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17221), tc_List_Olist(_u17221))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17221), tc_List_Olist(_u17221)), c_List_Olist_ONil(_u17221)), _u17222)), c_List_Olex(_u17221, _u17223))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17224), _u17225), hAPP(hAPP(c_List_Olist_OCons(_u17224), _u17226), _u17227)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17224), c_List_Olist_ONil(_u17224), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17224), tc_List_Olist(_u17224), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u17224), _u17226)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17224), tc_List_Olist(_u17224)), c_List_Otake(_u17224)), _u17227)), _u17225)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17230), _u17232)) | ( c_List_Oupto(_u17230, _u17232) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u17230), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17230), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17232))) )).
% 12.21/12.42 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17231), _u17233)) | ( c_List_Oupto(_u17231, _u17233) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17237)) | ( c_List_Osublist(_u17239, hAPP(hAPP(c_List_Olist_OCons(_u17239), _u17241), c_List_Olist_ONil(_u17239)), _u17237) = hAPP(hAPP(c_List_Olist_OCons(_u17239), _u17241), c_List_Olist_ONil(_u17239))) )).
% 12.21/12.42 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17238)) | ( c_List_Osublist(_u17240, hAPP(hAPP(c_List_Olist_OCons(_u17240), _u17242), c_List_Olist_ONil(_u17240)), _u17238) = c_List_Olist_ONil(_u17240)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u17243, c_Orderings_Obot__class_Obot(tc_fun(_u17243, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17243)), c_List_Olist_ONil(_u17243)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17243), tc_HOL_Obool)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Cons_H-1, axiom, ( ( _u17248 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17250), _u17248), hAPP(hAPP(c_List_Olist_OCons(_u17250), _u17252), _u17254)) = c_List_Olist_ONil(_u17250)) )).
% 12.21/12.42 cnf(fact_take__Cons_H-2, axiom, ( ( _u17249 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17251), _u17249), hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17253), _u17255)) = hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17253), hAPP(hAPP(c_List_Otake(_u17251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17249), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17255))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upto__rec__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17260))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17260)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17260)))) )).
% 12.21/12.42 cnf(fact_upto__rec__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17259)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17261))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17261)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_select ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_select-1, axiom, ( ( _u17262 = c_List_Olist_ONil(_u17263)) | hBOOL(hAPP(hAPP(c_member(_u17263), hAPP(c_Product__Type_Ofst(_u17263, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u17263, _u17262), _u17264))), hAPP(c_List_Oset(_u17263), _u17262))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u17265), tc_List_Olist(_u17265), c_List_Olistrel(_u17265, _u17266)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17265)), c_List_Olist_ONil(_u17265)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17265), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17265)), c_List_Olist_ONil(_u17265)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17265), tc_HOL_Obool)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u17267, _u17268, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17267)), c_List_Olist_ONil(_u17267)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17267), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u17267, tc_List_Olist(_u17267), hAPP(hAPP(c_COMBC(_u17267, tc_List_Olist(_u17267), tc_List_Olist(_u17267)), c_List_Olist_OCons(_u17267)), c_List_Olist_ONil(_u17267))), _u17268)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17273) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17275), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17273)), hAPP(hAPP(c_List_Olist_OCons(_u17275), _u17277), _u17279)) = c_List_Olist_ONil(_u17275)) )).
% 12.21/12.42 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17274) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17276), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17274)), hAPP(hAPP(c_List_Olist_OCons(_u17276), _u17278), _u17280)) = hAPP(hAPP(c_List_Olist_OCons(_u17276), _u17278), hAPP(hAPP(c_List_Otake(_u17276), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17274)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17280))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upto_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17281), _u17282))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17281), _u17282)) | ( c_List_Oupto(_u17281, _u17282) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u17281), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17281), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17282))) )).
% 12.21/12.42 cnf(fact_upto_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17281), _u17282))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17281), _u17282)) | ( c_List_Oupto(_u17281, _u17282) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u17288 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u17290, _u17292, _u17294), _u17288), _u17296) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17292), _u17290), c_List_Olist_ONil(_u17292)), _u17296)) )).
% 12.21/12.42 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u17289 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u17291, _u17293, _u17295), _u17289), _u17297) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(_u17293, _u17291), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17293), _u17291), c_List_Olist_ONil(_u17293)), _u17297), hAPP(c_Product__Type_Oprod_Oprod__case(_u17293, _u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), hAPP(hAPP(c_COMBC(_u17293, tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(tc_List_Olist(_u17293), _u17291)), tc_fun(tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), _u17293), c_COMBB(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(tc_List_Olist(_u17293), _u17291), _u17291)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17293), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), tc_fun(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(tc_List_Olist(_u17293), _u17291)), _u17293), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17293), _u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17293), tc_List_Olist(_u17293)), tc_fun(tc_List_Olist(_u17293), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), _u17293), hAPP(c_COMBB(tc_List_Olist(_u17293), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), tc_List_Olist(_u17293)), c_Product__Type_OPair(tc_List_Olist(_u17293), _u17291))), c_List_Olist_OCons(_u17293))))), hAPP(c_Lazy__Sequence_Oanamorph(_u17291, _u17293, _u17295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17289), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u17295, _u17297))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u17298, c_List_Olist_ONil(tc_fun(_u17298, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17298)), c_List_Olist_ONil(_u17298)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17298), tc_HOL_Obool)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17299, _u17300), hAPP(hAPP(c_List_Olist_OCons(_u17299), _u17301), _u17302)), _u17303) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u17299, _u17300)), _u17300, c_List_Olist_ONil(tc_prod(_u17299, _u17300)), hAPP(hAPP(c_COMBC(_u17300, tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300))), tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(tc_prod(_u17299, _u17300))), tc_fun(tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300))), tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300)))), _u17300), c_COMBB(tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(_u17300))), hAPP(hAPP(c_COMBB(tc_prod(_u17299, _u17300), tc_fun(tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(tc_prod(_u17299, _u17300))), _u17300), c_List_Olist_OCons(tc_prod(_u17299, _u17300))), hAPP(c_Product__Type_OPair(_u17299, _u17300), _u17301)))), hAPP(c_List_Ozip(_u17299, _u17300), _u17302))), _u17303)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u17304, _u17305, _u17306, _u17307), hAPP(hAPP(c_List_Olist_OCons(_u17305), _u17308), _u17309)) = hAPP(hAPP(_u17307, _u17308), _u17309)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u17310, _u17311, _u17312, _u17313), c_List_Olist_ONil(_u17311)) = _u17312) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u17314, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u17314, tc_HOL_Obool)), _u17315), _u17316)) = c_List_Oset__Cons(_u17314, _u17315, c_List_Olistset(_u17314, _u17316))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17317, _u17318), _u17319), hAPP(hAPP(c_List_Olist_OCons(_u17318), _u17320), _u17321)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u17317, _u17318)), _u17317, c_List_Olist_ONil(tc_prod(_u17317, _u17318)), hAPP(hAPP(c_COMBC(_u17317, tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318))), tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(tc_prod(_u17317, _u17318))), tc_fun(tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318))), tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318)))), _u17317), c_COMBB(tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(_u17317))), hAPP(hAPP(c_COMBB(tc_prod(_u17317, _u17318), tc_fun(tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(tc_prod(_u17317, _u17318))), _u17317), c_List_Olist_OCons(tc_prod(_u17317, _u17318))), hAPP(hAPP(c_COMBC(_u17317, _u17318, tc_prod(_u17317, _u17318)), c_Product__Type_OPair(_u17317, _u17318)), _u17320)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17317), tc_List_Olist(_u17318), tc_List_Olist(tc_prod(_u17317, _u17318))), c_List_Ozip(_u17317, _u17318)), _u17321))), _u17319)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upto_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17324), _u17325))) | hBOOL(hAPP(hAPP(_u17326, _u17324), _u17325)) | 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), skolem434(_u17326, _u17325, _u17324)), skolem435(_u17326, _u17325, _u17324)))) )).
% 12.21/12.42 cnf(fact_upto_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17324), _u17325))) | hBOOL(hAPP(hAPP(_u17326, _u17324), _u17325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem434(_u17326, _u17325, _u17324)), skolem435(_u17326, _u17325, _u17324))) | hBOOL(hAPP(hAPP(_u17326, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem434(_u17326, _u17325, _u17324)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem435(_u17326, _u17325, _u17324))) )).
% 12.21/12.42 cnf(fact_upto_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17324), _u17325))) | hBOOL(hAPP(hAPP(_u17326, _u17324), _u17325)) | ~hBOOL(hAPP(hAPP(_u17326, skolem434(_u17326, _u17325, _u17324)), skolem435(_u17326, _u17325, _u17324))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__append1 ( axiom ) converted to clauses:
% 12.21/12.42 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(_u17327)), _u17328)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17329)), _u17330))) | ( c_Map_Omap__upds(_u17327, _u17329, _u17331, hAPP(hAPP(c_List_Oappend(_u17327), _u17328), hAPP(hAPP(c_List_Olist_OCons(_u17327), _u17332), c_List_Olist_ONil(_u17327))), _u17330) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17327, tc_Option_Ooption(_u17329)), c_Map_Omap__upds(_u17327, _u17329, _u17331, _u17328, _u17330)), _u17332), hAPP(c_Option_Ooption_OSome(_u17329), hAPP(hAPP(c_List_Onth(_u17329), _u17330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17327)), _u17328))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17338), _u17340), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17342), c_List_Olist_ONil(_u17338))) != hAPP(hAPP(c_List_Oappend(_u17338), _u17344), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17346), c_List_Olist_ONil(_u17338)))) | ( _u17340 = _u17344) )).
% 12.21/12.42 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17338), _u17340), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17342), c_List_Olist_ONil(_u17338))) != hAPP(hAPP(c_List_Oappend(_u17338), _u17344), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17346), c_List_Olist_ONil(_u17338)))) | ( _u17342 = _u17346) )).
% 12.21/12.42 cnf(fact_append1__eq__conv-3, axiom, ( ( _u17341 != _u17345) | ( _u17343 != _u17347) | ( hAPP(hAPP(c_List_Oappend(_u17339), _u17341), hAPP(hAPP(c_List_Olist_OCons(_u17339), _u17343), c_List_Olist_ONil(_u17339))) = hAPP(hAPP(c_List_Oappend(_u17339), _u17345), hAPP(hAPP(c_List_Olist_OCons(_u17339), _u17347), c_List_Olist_ONil(_u17339)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( _u17361 = c_List_Olist_ONil(_u17355)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)) = _u17361) )).
% 12.21/12.42 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( _u17361 = c_List_Olist_ONil(_u17355)) | ( _u17359 = hAPP(hAPP(c_List_Oappend(_u17355), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)), _u17363)) )).
% 12.21/12.42 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) = _u17363) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)) = _u17361) )).
% 12.21/12.42 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) = _u17363) | ( _u17359 = hAPP(hAPP(c_List_Oappend(_u17355), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)), _u17363)) )).
% 12.21/12.42 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17360) = hAPP(hAPP(c_List_Oappend(_u17356), _u17362), _u17364)) | ( _u17362 != c_List_Olist_ONil(_u17356)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17360) != _u17364) )).
% 12.21/12.42 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17360) = hAPP(hAPP(c_List_Oappend(_u17356), _u17362), _u17364)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17349) != _u17362) | ( _u17360 != hAPP(hAPP(c_List_Oappend(_u17356), _u17349), _u17364)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17374 = c_List_Olist_ONil(_u17372)) | ( _u17374 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372))) )).
% 12.21/12.42 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17374 = c_List_Olist_ONil(_u17372)) | ( hAPP(hAPP(c_List_Oappend(_u17372), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372)), _u17376) = _u17380) )).
% 12.21/12.42 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17376 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17374 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372))) )).
% 12.21/12.42 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17376 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( hAPP(hAPP(c_List_Oappend(_u17372), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372)), _u17376) = _u17380) )).
% 12.21/12.42 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17373), _u17375), _u17377) = hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17381)) | ( _u17375 != c_List_Olist_ONil(_u17373)) | ( _u17377 != hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17381)) )).
% 12.21/12.42 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17373), _u17375), _u17377) = hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17381)) | ( _u17375 != hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17366)) | ( hAPP(hAPP(c_List_Oappend(_u17373), _u17366), _u17377) != _u17381) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u17382 != _u17383) | ( _u17382 = hAPP(hAPP(c_List_Oappend(_u17384), c_List_Olist_ONil(_u17384)), _u17383)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17388), _u17390), _u17392) != _u17392) | ( _u17390 = c_List_Olist_ONil(_u17388)) )).
% 12.21/12.42 cnf(fact_append__self__conv2-2, axiom, ( ( _u17391 != c_List_Olist_ONil(_u17389)) | ( hAPP(hAPP(c_List_Oappend(_u17389), _u17391), _u17393) = _u17393) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17397), _u17399), _u17401) != _u17399) | ( _u17401 = c_List_Olist_ONil(_u17397)) )).
% 12.21/12.42 cnf(fact_append__self__conv-2, axiom, ( ( _u17402 != c_List_Olist_ONil(_u17398)) | ( hAPP(hAPP(c_List_Oappend(_u17398), _u17400), _u17402) = _u17400) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17406), _u17408), _u17410) != c_List_Olist_ONil(_u17406)) | ( _u17408 = c_List_Olist_ONil(_u17406)) )).
% 12.21/12.42 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17406), _u17408), _u17410) != c_List_Olist_ONil(_u17406)) | ( _u17410 = c_List_Olist_ONil(_u17406)) )).
% 12.21/12.42 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u17409 != c_List_Olist_ONil(_u17407)) | ( _u17411 != c_List_Olist_ONil(_u17407)) | ( hAPP(hAPP(c_List_Oappend(_u17407), _u17409), _u17411) = c_List_Olist_ONil(_u17407)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_self__append__conv2-1, axiom, ( ( _u17419 = c_List_Olist_ONil(_u17417)) | ( _u17415 != hAPP(hAPP(c_List_Oappend(_u17417), _u17419), _u17415)) )).
% 12.21/12.42 cnf(fact_self__append__conv2-2, axiom, ( ( _u17420 != c_List_Olist_ONil(_u17418)) | ( _u17416 = hAPP(hAPP(c_List_Oappend(_u17418), _u17420), _u17416)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_self__append__conv-1, axiom, ( ( _u17428 = c_List_Olist_ONil(_u17426)) | ( _u17424 != hAPP(hAPP(c_List_Oappend(_u17426), _u17424), _u17428)) )).
% 12.21/12.42 cnf(fact_self__append__conv-2, axiom, ( ( _u17429 != c_List_Olist_ONil(_u17427)) | ( _u17425 = hAPP(hAPP(c_List_Oappend(_u17427), _u17425), _u17429)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17430), _u17431), c_List_Olist_ONil(_u17430)) = _u17431) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u17435) != hAPP(hAPP(c_List_Oappend(_u17435), _u17437), _u17439)) | ( _u17437 = c_List_Olist_ONil(_u17435)) )).
% 12.21/12.42 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u17435) != hAPP(hAPP(c_List_Oappend(_u17435), _u17437), _u17439)) | ( _u17439 = c_List_Olist_ONil(_u17435)) )).
% 12.21/12.42 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u17438 != c_List_Olist_ONil(_u17436)) | ( _u17440 != c_List_Olist_ONil(_u17436)) | ( c_List_Olist_ONil(_u17436) = hAPP(hAPP(c_List_Oappend(_u17436), _u17438), _u17440)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17441), c_List_Olist_ONil(_u17441)), _u17442) = _u17442) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_fun__upds__append__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_fun__upds__append__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17443)), _u17444) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17445)), _u17446)) | ( c_Map_Omap__upds(_u17443, _u17445, _u17447, hAPP(hAPP(c_List_Oappend(_u17443), _u17444), _u17448), _u17446) = c_Map_Omap__upds(_u17443, _u17445, _u17447, _u17444, _u17446)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_fun__upds__append2__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_fun__upds__append2__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17449)), _u17450) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17451)), _u17452)) | ( c_Map_Omap__upds(_u17449, _u17451, _u17453, _u17450, hAPP(hAPP(c_List_Oappend(_u17451), _u17452), _u17454)) = c_Map_Omap__upds(_u17449, _u17451, _u17453, _u17450, _u17452)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17455, _u17456), _u17457), hAPP(hAPP(c_List_Oappend(_u17455), _u17458), _u17459)) = hAPP(hAPP(c_List_Oappend(_u17456), hAPP(hAPP(c_List_Omap(_u17455, _u17456), _u17457), _u17458)), hAPP(hAPP(c_List_Omap(_u17455, _u17456), _u17457), _u17459))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17460)), hAPP(hAPP(c_List_Oappend(_u17460), _u17461), _u17462)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17460)), _u17461)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17460)), _u17462))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17463)), _u17464) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17465)), _u17466)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17463)), _u17467) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17465)), _u17468)) | ( hAPP(hAPP(c_List_Ozip(_u17463, _u17465), hAPP(hAPP(c_List_Oappend(_u17463), _u17464), _u17467)), hAPP(hAPP(c_List_Oappend(_u17465), _u17466), _u17468)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17463, _u17465)), hAPP(hAPP(c_List_Ozip(_u17463, _u17465), _u17464), _u17466)), hAPP(hAPP(c_List_Ozip(_u17463, _u17465), _u17467), _u17468))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__append-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17469, _u17470), hAPP(hAPP(c_List_Oappend(tc_prod(_u17469, _u17470)), _u17471), _u17472)) = c_Map_Omap__add(_u17469, _u17470, hAPP(c_Map_Omap__of(_u17469, _u17470), _u17472), hAPP(c_Map_Omap__of(_u17469, _u17470), _u17471))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17473), hAPP(hAPP(c_List_Oappend(_u17473), _u17474), _u17475)), _u17476) = hAPP(hAPP(c_List_Oappend(_u17473), _u17474), hAPP(hAPP(c_List_Oappend(_u17473), _u17475), _u17476))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( _u17490 = hAPP(hAPP(c_List_Oappend(_u17488), _u17494), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488))) | ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)) = _u17494) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( _u17490 = hAPP(hAPP(c_List_Oappend(_u17488), _u17494), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488))) | ( _u17492 = hAPP(hAPP(c_List_Oappend(_u17488), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17496)) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( hAPP(hAPP(c_List_Oappend(_u17488), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17492) = _u17496) | ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)) = _u17494) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( hAPP(hAPP(c_List_Oappend(_u17488), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17492) = _u17496) | ( _u17492 = hAPP(hAPP(c_List_Oappend(_u17488), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17496)) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17489), _u17491), _u17493) = hAPP(hAPP(c_List_Oappend(_u17489), _u17495), _u17497)) | ( _u17491 != hAPP(hAPP(c_List_Oappend(_u17489), _u17495), _u17486)) | ( hAPP(hAPP(c_List_Oappend(_u17489), _u17486), _u17493) != _u17497) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17489), _u17491), _u17493) = hAPP(hAPP(c_List_Oappend(_u17489), _u17495), _u17497)) | ( hAPP(hAPP(c_List_Oappend(_u17489), _u17491), _u17487) != _u17495) | ( _u17493 != hAPP(hAPP(c_List_Oappend(_u17489), _u17487), _u17497)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_same__append__eq-1, axiom, ( ( _u17506 = _u17508) | ( hAPP(hAPP(c_List_Oappend(_u17502), _u17504), _u17506) != hAPP(hAPP(c_List_Oappend(_u17502), _u17504), _u17508)) )).
% 12.21/12.42 cnf(fact_same__append__eq-2, axiom, ( ( _u17507 != _u17509) | ( hAPP(hAPP(c_List_Oappend(_u17503), _u17505), _u17507) = hAPP(hAPP(c_List_Oappend(_u17503), _u17505), _u17509)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__same__eq-1, axiom, ( ( _u17516 = _u17520) | ( hAPP(hAPP(c_List_Oappend(_u17514), _u17516), _u17518) != hAPP(hAPP(c_List_Oappend(_u17514), _u17520), _u17518)) )).
% 12.21/12.42 cnf(fact_append__same__eq-2, axiom, ( ( _u17517 != _u17521) | ( hAPP(hAPP(c_List_Oappend(_u17515), _u17517), _u17519) = hAPP(hAPP(c_List_Oappend(_u17515), _u17521), _u17519)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17522), _u17523), _u17524) != _u17525) | ( _u17526 != hAPP(hAPP(c_List_Oappend(_u17522), _u17524), _u17527)) | ( hAPP(hAPP(c_List_Oappend(_u17522), _u17523), _u17526) = hAPP(hAPP(c_List_Oappend(_u17522), _u17525), _u17527)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u17528, _u17529, _u17530, hAPP(hAPP(c_List_Oappend(_u17528), _u17531), _u17532), _u17533) = c_List_Ofoldr(_u17528, _u17529, _u17530, _u17531, c_List_Ofoldr(_u17528, _u17529, _u17530, _u17532, _u17533))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u17534) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17534), hAPP(hAPP(c_List_Oappend(_u17534), _u17535), _u17536)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17534), hAPP(c_List_Omonoid__add__class_Olistsum(_u17534), _u17535)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17534), _u17536))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u17537), hAPP(hAPP(c_List_Oappend(_u17537), _u17538), _u17539)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17537, tc_HOL_Obool)), hAPP(c_List_Oset(_u17537), _u17538)), hAPP(c_List_Oset(_u17537), _u17539))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), hAPP(hAPP(c_List_Oappend(_u17544), _u17546), _u17548)), c_List_Olists(_u17544, _u17550))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), _u17546), c_List_Olists(_u17544, _u17550))) )).
% 12.21/12.42 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), hAPP(hAPP(c_List_Oappend(_u17544), _u17546), _u17548)), c_List_Olists(_u17544, _u17550))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), _u17548), c_List_Olists(_u17544, _u17550))) )).
% 12.21/12.42 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17545)), _u17547), c_List_Olists(_u17545, _u17551))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17545)), _u17549), c_List_Olists(_u17545, _u17551))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17545)), hAPP(hAPP(c_List_Oappend(_u17545), _u17547), _u17549)), c_List_Olists(_u17545, _u17551))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17552), _u17553), _u17554) != _u17555) | ( _u17556 != hAPP(hAPP(c_List_Oappend(_u17552), _u17554), _u17557)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17552), _u17553), _u17556) = hAPP(hAPP(c_List_Oappend(_u17552), _u17555), _u17557)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17558), hAPP(hAPP(c_List_Olist_OCons(_u17558), _u17559), _u17560)), _u17561) = hAPP(hAPP(c_List_Olist_OCons(_u17558), _u17559), hAPP(hAPP(c_List_Oappend(_u17558), _u17560), _u17561))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17562, hAPP(hAPP(c_List_Olist_OCons(_u17562), _u17563), _u17564)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562))), c_Enum_Osublists(_u17562, _u17564)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17562)), tc_fun(tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562))), tc_List_Olist(tc_List_Olist(_u17562))), c_List_Oappend(tc_List_Olist(_u17562))), hAPP(c_List_Omap(tc_List_Olist(_u17562), tc_List_Olist(_u17562)), hAPP(c_List_Olist_OCons(_u17562), _u17563)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17562)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u17565), hAPP(hAPP(c_List_Oappend(_u17565), _u17566), hAPP(hAPP(c_List_Olist_OCons(_u17565), _u17567), _u17568))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17565)), _u17566)) = _u17567) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u17569), hAPP(hAPP(c_List_Oappend(_u17569), _u17570), _u17571)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17569)), _u17570)), _u17572)) = hAPP(hAPP(c_List_Onth(_u17569), _u17571), _u17572)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17573), _u17574), hAPP(hAPP(c_List_Oappend(_u17573), _u17575), _u17576)) = hAPP(hAPP(c_List_Oappend(_u17573), hAPP(hAPP(c_List_Otake(_u17573), _u17574), _u17575)), hAPP(hAPP(c_List_Otake(_u17573), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17574), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), _u17575))), _u17576))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17577), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579))) | ( hAPP(hAPP(c_List_Olist__update(_u17578, hAPP(hAPP(c_List_Oappend(_u17578), _u17579), _u17580)), _u17577), _u17581) = hAPP(hAPP(c_List_Oappend(_u17578), hAPP(hAPP(c_List_Olist__update(_u17578, _u17579), _u17577), _u17581)), _u17580)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u17582, hAPP(hAPP(c_List_Oappend(_u17582), _u17583), hAPP(hAPP(c_List_Olist_OCons(_u17582), _u17584), _u17585))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17582)), _u17583)), _u17586) = hAPP(hAPP(c_List_Oappend(_u17582), _u17583), hAPP(hAPP(c_List_Olist_OCons(_u17582), _u17586), _u17585))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), hAPP(hAPP(c_List_Oappend(_u17587), _u17588), _u17591)), hAPP(hAPP(c_List_Oappend(_u17587), _u17589), _u17592))), c_List_Olistrel1(_u17587, _u17590))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), _u17588), _u17589)), c_List_Olistrel1(_u17587, _u17590))) | ( _u17591 != _u17592) )).
% 12.21/12.42 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), hAPP(hAPP(c_List_Oappend(_u17587), _u17588), _u17591)), hAPP(hAPP(c_List_Oappend(_u17587), _u17589), _u17592))), c_List_Olistrel1(_u17587, _u17590))) | ( _u17588 != _u17589) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), _u17591), _u17592)), c_List_Olistrel1(_u17587, _u17590))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17593), tc_List_Olist(_u17593))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17593), tc_List_Olist(_u17593)), _u17594), _u17595)), c_List_Olexord(_u17593, _u17596))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17593), tc_List_Olist(_u17593))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17593), tc_List_Olist(_u17593)), hAPP(hAPP(c_List_Oappend(_u17593), _u17597), _u17594)), hAPP(hAPP(c_List_Oappend(_u17593), _u17597), _u17595))), c_List_Olexord(_u17593, _u17596))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), hAPP(hAPP(c_List_Oappend(_u17601), _u17603), _u17605))) | hBOOL(hAPP(c_List_Odistinct(_u17601), _u17603)) )).
% 12.21/12.42 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), hAPP(hAPP(c_List_Oappend(_u17601), _u17603), _u17605))) | hBOOL(hAPP(c_List_Odistinct(_u17601), _u17605)) )).
% 12.21/12.42 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), hAPP(hAPP(c_List_Oappend(_u17601), _u17603), _u17605))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17601, tc_HOL_Obool)), hAPP(c_List_Oset(_u17601), _u17603)), hAPP(c_List_Oset(_u17601), _u17605)) = c_Orderings_Obot__class_Obot(tc_fun(_u17601, tc_HOL_Obool))) )).
% 12.21/12.42 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17602), _u17604)) | ~hBOOL(hAPP(c_List_Odistinct(_u17602), _u17606)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17602, tc_HOL_Obool)), hAPP(c_List_Oset(_u17602), _u17604)), hAPP(c_List_Oset(_u17602), _u17606)) != c_Orderings_Obot__class_Obot(tc_fun(_u17602, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u17602), hAPP(hAPP(c_List_Oappend(_u17602), _u17604), _u17606))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17611), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17613)), _u17615))) | ( hAPP(hAPP(c_List_Onth(_u17613), hAPP(hAPP(c_List_Oappend(_u17613), _u17615), _u17617)), _u17611) = hAPP(hAPP(c_List_Onth(_u17613), _u17615), _u17611)) )).
% 12.21/12.42 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17612), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17614)), _u17616))) | ( hAPP(hAPP(c_List_Onth(_u17614), hAPP(hAPP(c_List_Oappend(_u17614), _u17616), _u17618)), _u17612) = hAPP(hAPP(c_List_Onth(_u17614), _u17618), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17612), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17614)), _u17616)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17624), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17626)), _u17628))) | ( hAPP(hAPP(c_List_Olist__update(_u17626, hAPP(hAPP(c_List_Oappend(_u17626), _u17628), _u17630)), _u17624), _u17632) = hAPP(hAPP(c_List_Oappend(_u17626), hAPP(hAPP(c_List_Olist__update(_u17626, _u17628), _u17624), _u17632)), _u17630)) )).
% 12.21/12.42 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17627)), _u17629))) | ( hAPP(hAPP(c_List_Olist__update(_u17627, hAPP(hAPP(c_List_Oappend(_u17627), _u17629), _u17631)), _u17625), _u17633) = hAPP(hAPP(c_List_Oappend(_u17627), _u17629), hAPP(hAPP(c_List_Olist__update(_u17627, _u17631), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17627)), _u17629))), _u17633))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17634, _u17635, hAPP(hAPP(c_List_Olist_OCons(_u17634), _u17636), _u17637), _u17638) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17634, _u17635)), hAPP(hAPP(c_List_Omap(_u17635, tc_prod(_u17634, _u17635)), hAPP(c_Product__Type_OPair(_u17634, _u17635), _u17636)), _u17638)), c_Enum_Oproduct(_u17634, _u17635, _u17637, _u17638))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u17639, hAPP(hAPP(c_List_Oappend(_u17639), _u17640), _u17641), _u17642) = hAPP(hAPP(c_List_Oappend(_u17639), c_List_Osublist(_u17639, _u17640, _u17642)), c_List_Osublist(_u17639, _u17641, 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(_u17639)), _u17640)))), _u17642))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17643, _u17643)), hAPP(hAPP(c_Product__Type_OPair(_u17643, _u17643), _u17644), _u17645)), _u17646)) | ( _u17647 != hAPP(hAPP(c_List_Oappend(_u17643), _u17648), hAPP(hAPP(c_List_Olist_OCons(_u17643), _u17644), _u17649))) | ( _u17650 != hAPP(hAPP(c_List_Oappend(_u17643), _u17648), hAPP(hAPP(c_List_Olist_OCons(_u17643), _u17645), _u17649))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17643), tc_List_Olist(_u17643))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17643), tc_List_Olist(_u17643)), _u17647), _u17650)), c_List_Olistrel1(_u17643, _u17646))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17651, _u17651)), hAPP(hAPP(c_Product__Type_OPair(_u17651, _u17651), _u17652), _u17653)), _u17654)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17651), tc_List_Olist(_u17651))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17651), tc_List_Olist(_u17651)), hAPP(hAPP(c_List_Oappend(_u17651), _u17655), hAPP(hAPP(c_List_Olist_OCons(_u17651), _u17652), _u17656))), hAPP(hAPP(c_List_Oappend(_u17651), _u17655), hAPP(hAPP(c_List_Olist_OCons(_u17651), _u17653), _u17657)))), c_List_Olexord(_u17651, _u17654))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17658), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17659)), _u17660))) | ( hAPP(hAPP(c_List_Otake(_u17659), hAPP(c_Nat_OSuc, _u17658)), _u17660) = hAPP(hAPP(c_List_Oappend(_u17659), hAPP(hAPP(c_List_Otake(_u17659), _u17658), _u17660)), hAPP(hAPP(c_List_Olist_OCons(_u17659), hAPP(hAPP(c_List_Onth(_u17659), _u17660), _u17658)), c_List_Olist_ONil(_u17659)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), _u17669), _u17673)), c_List_Olistrel1(_u17667, _u17677))) | ( _u17669 = _u17673) )).
% 12.21/12.42 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), _u17669), _u17673)), c_List_Olistrel1(_u17667, _u17677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17667, _u17667)), hAPP(hAPP(c_Product__Type_OPair(_u17667, _u17667), _u17671), _u17675)), _u17677)) )).
% 12.21/12.42 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | ( _u17671 = _u17675) | ( _u17669 = _u17673) )).
% 12.21/12.42 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | ( _u17671 = _u17675) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17667, _u17667)), hAPP(hAPP(c_Product__Type_OPair(_u17667, _u17667), _u17671), _u17675)), _u17677)) )).
% 12.21/12.42 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17668), tc_List_Olist(_u17668))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17668), tc_List_Olist(_u17668)), hAPP(hAPP(c_List_Oappend(_u17668), _u17670), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17672), c_List_Olist_ONil(_u17668)))), hAPP(hAPP(c_List_Oappend(_u17668), _u17674), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17676), c_List_Olist_ONil(_u17668))))), c_List_Olistrel1(_u17668, _u17678))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17668), tc_List_Olist(_u17668))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17668), tc_List_Olist(_u17668)), _u17670), _u17674)), c_List_Olistrel1(_u17668, _u17678))) | ( _u17672 != _u17676) )).
% 12.21/12.42 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17668), tc_List_Olist(_u17668))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17668), tc_List_Olist(_u17668)), hAPP(hAPP(c_List_Oappend(_u17668), _u17670), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17672), c_List_Olist_ONil(_u17668)))), hAPP(hAPP(c_List_Oappend(_u17668), _u17674), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17676), c_List_Olist_ONil(_u17668))))), c_List_Olistrel1(_u17668, _u17678))) | ( _u17670 != _u17674) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17668, _u17668)), hAPP(hAPP(c_Product__Type_OPair(_u17668, _u17668), _u17672), _u17676)), _u17678)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u17679, hAPP(hAPP(c_List_Olist_OCons(_u17679), _u17680), _u17681), _u17682) = hAPP(hAPP(c_List_Oappend(_u17679), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u17679)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17682)), hAPP(hAPP(c_List_Olist_OCons(_u17679), _u17680), c_List_Olist_ONil(_u17679))), c_List_Olist_ONil(_u17679))), c_List_Osublist(_u17679, _u17681, 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)), _u17682))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17687), tc_List_Olist(_u17687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17687), tc_List_Olist(_u17687)), _u17688), _u17689)), c_List_Olistrel1(_u17687, _u17690))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17687, _u17687)), hAPP(hAPP(c_Product__Type_OPair(_u17687, _u17687), skolem440(_u17690, _u17689, _u17688, _u17687)), skolem441(_u17690, _u17689, _u17688, _u17687))), _u17690)) )).
% 12.21/12.42 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17687), tc_List_Olist(_u17687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17687), tc_List_Olist(_u17687)), _u17688), _u17689)), c_List_Olistrel1(_u17687, _u17690))) | ( _u17688 = hAPP(hAPP(c_List_Oappend(_u17687), skolem442(_u17690, _u17689, _u17688, _u17687)), hAPP(hAPP(c_List_Olist_OCons(_u17687), skolem440(_u17690, _u17689, _u17688, _u17687)), skolem443(_u17690, _u17689, _u17688, _u17687)))) )).
% 12.21/12.42 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17687), tc_List_Olist(_u17687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17687), tc_List_Olist(_u17687)), _u17688), _u17689)), c_List_Olistrel1(_u17687, _u17690))) | ( _u17689 = hAPP(hAPP(c_List_Oappend(_u17687), skolem442(_u17690, _u17689, _u17688, _u17687)), hAPP(hAPP(c_List_Olist_OCons(_u17687), skolem441(_u17690, _u17689, _u17688, _u17687)), skolem443(_u17690, _u17689, _u17688, _u17687)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17692), tc_List_Olist(_u17692))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17692), tc_List_Olist(_u17692)), hAPP(hAPP(c_List_Oappend(_u17692), _u17693), _u17694)), hAPP(hAPP(c_List_Oappend(_u17692), _u17693), _u17695))), c_List_Olexord(_u17692, _u17696))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17692, _u17692)), hAPP(hAPP(c_Product__Type_OPair(_u17692, _u17692), skolem444(_u17696, _u17695, _u17694, _u17693, _u17692)), skolem444(_u17696, _u17695, _u17694, _u17693, _u17692))), _u17696)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17692), tc_List_Olist(_u17692))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17692), tc_List_Olist(_u17692)), _u17694), _u17695)), c_List_Olexord(_u17692, _u17696))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u17697), _u17698) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17697), _u17697, c_List_Olist_ONil(_u17697), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17697), tc_fun(tc_List_Olist(_u17697), tc_List_Olist(_u17697)), _u17697), hAPP(c_COMBC(tc_List_Olist(_u17697), tc_List_Olist(_u17697), tc_List_Olist(_u17697)), c_List_Oappend(_u17697))), hAPP(hAPP(c_COMBC(_u17697, tc_List_Olist(_u17697), tc_List_Olist(_u17697)), c_List_Olist_OCons(_u17697)), c_List_Olist_ONil(_u17697)))), _u17698)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17699), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17700)), _u17701))) | ( hAPP(hAPP(c_List_Olist__update(_u17700, _u17701), _u17699), _u17702) = hAPP(hAPP(c_List_Oappend(_u17700), hAPP(hAPP(c_List_Otake(_u17700), _u17699), _u17701)), hAPP(hAPP(c_List_Olist_OCons(_u17700), _u17702), hAPP(hAPP(c_List_Odrop(_u17700), hAPP(c_Nat_OSuc, _u17699)), _u17701)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17703), hAPP(hAPP(c_List_Otake(_u17703), _u17704), _u17705)), hAPP(hAPP(c_List_Odrop(_u17703), _u17704), _u17705)) = _u17705) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17706), _u17707), hAPP(hAPP(c_List_Omap(_u17708, _u17706), _u17709), _u17710)) = hAPP(hAPP(c_List_Omap(_u17708, _u17706), _u17709), hAPP(hAPP(c_List_Odrop(_u17708), _u17707), _u17710))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u17713), _u17715) != c_List_Olist_ONil(_u17713)) | ( _u17715 = c_List_Olist_ONil(_u17713)) )).
% 12.21/12.42 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u17716 != c_List_Olist_ONil(_u17714)) | ( hAPP(c_List_Orotate1(_u17714), _u17716) = c_List_Olist_ONil(_u17714)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17717), _u17718), c_List_Olist_ONil(_u17717)) = c_List_Olist_ONil(_u17717)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17719, tc_HOL_Obool)), hAPP(c_List_Oset(_u17719), hAPP(hAPP(c_List_Odrop(_u17719), _u17720), _u17721))), hAPP(c_List_Oset(_u17719), _u17721))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17722)), hAPP(c_List_Orotate1(_u17722), _u17723)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17722)), _u17723)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), hAPP(hAPP(c_List_Odrop(_u17724), _u17725), _u17726)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), _u17726)), _u17725)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17729), hAPP(c_List_Orotate1(_u17729), _u17731))) | hBOOL(hAPP(c_List_Odistinct(_u17729), _u17731)) )).
% 12.21/12.42 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17730), _u17732)) | hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(c_List_Orotate1(_u17730), _u17732))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17733), _u17734)) | hBOOL(hAPP(c_List_Odistinct(_u17733), hAPP(hAPP(c_List_Odrop(_u17733), _u17735), _u17734))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17736), _u17737), hAPP(hAPP(c_List_Odrop(_u17736), _u17738), _u17739)) = hAPP(hAPP(c_List_Odrop(_u17736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17737), _u17738)), _u17739)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17740), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17741) = _u17741) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u17742), hAPP(c_List_Orotate1(_u17742), _u17743)) = hAPP(c_List_Oset(_u17742), _u17743)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17744), _u17745), hAPP(c_List_Oset(_u17744), hAPP(hAPP(c_List_Odrop(_u17744), _u17746), _u17747)))) | hBOOL(hAPP(hAPP(c_member(_u17744), _u17745), hAPP(c_List_Oset(_u17744), _u17747))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u17748, _u17749)), _u17750), hAPP(hAPP(c_List_Ozip(_u17748, _u17749), _u17751), _u17752)) = hAPP(hAPP(c_List_Ozip(_u17748, _u17749), hAPP(hAPP(c_List_Odrop(_u17748), _u17750), _u17751)), hAPP(hAPP(c_List_Odrop(_u17749), _u17750), _u17752))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17753), _u17754), hAPP(hAPP(c_List_Odrop(_u17753), _u17755), _u17756)) = hAPP(hAPP(c_List_Odrop(_u17753), _u17755), hAPP(hAPP(c_List_Otake(_u17753), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17754), _u17755)), _u17756))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17757), _u17758), hAPP(hAPP(c_List_Otake(_u17757), _u17759), _u17760)) = hAPP(hAPP(c_List_Otake(_u17757), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17759), _u17758)), hAPP(hAPP(c_List_Odrop(_u17757), _u17758), _u17760))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17761), _u17762), _u17763) != hAPP(hAPP(c_List_Olist_OCons(_u17761), _u17764), _u17765)) | ( hAPP(hAPP(c_List_Onth(_u17761), _u17763), _u17762) = _u17764) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17766), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u17766), _u17767), _u17768)) = _u17768) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17769), hAPP(c_Nat_OSuc, _u17770)), hAPP(hAPP(c_List_Olist_OCons(_u17769), _u17771), _u17772)) = hAPP(hAPP(c_List_Odrop(_u17769), _u17770), _u17772)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17773), _u17774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17775, tc_HOL_Obool)), hAPP(c_List_Oset(_u17775), hAPP(hAPP(c_List_Odrop(_u17775), _u17774), _u17776))), hAPP(c_List_Oset(_u17775), hAPP(hAPP(c_List_Odrop(_u17775), _u17773), _u17776)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__all-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17777)), _u17778)), _u17779)) | ( hAPP(hAPP(c_List_Odrop(_u17777), _u17779), _u17778) = c_List_Olist_ONil(_u17777)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17783), _u17785), _u17787) != c_List_Olist_ONil(_u17783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17783)), _u17787)), _u17785)) )).
% 12.21/12.42 cnf(fact_drop__eq__Nil-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17784)), _u17788)), _u17786)) | ( hAPP(hAPP(c_List_Odrop(_u17784), _u17786), _u17788) = c_List_Olist_ONil(_u17784)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17789), _u17790), hAPP(hAPP(c_List_Oappend(_u17789), _u17791), _u17792)) = hAPP(hAPP(c_List_Oappend(_u17789), hAPP(hAPP(c_List_Odrop(_u17789), _u17790), _u17791)), hAPP(hAPP(c_List_Odrop(_u17789), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17790), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17789)), _u17791))), _u17792))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17797), _u17799), _u17801) != _u17803) | ( _u17799 = hAPP(hAPP(c_List_Otake(_u17797), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17797)), _u17799)), _u17803)) )).
% 12.21/12.42 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17797), _u17799), _u17801) != _u17803) | ( _u17801 = hAPP(hAPP(c_List_Odrop(_u17797), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17797)), _u17799)), _u17803)) )).
% 12.21/12.42 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u17800 != hAPP(hAPP(c_List_Otake(_u17798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), _u17800)), _u17804)) | ( _u17802 != hAPP(hAPP(c_List_Odrop(_u17798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), _u17800)), _u17804)) | ( hAPP(hAPP(c_List_Oappend(_u17798), _u17800), _u17802) = _u17804) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17805), _u17806), hAPP(hAPP(c_List_Olist_OCons(_u17805), _u17807), _u17808)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17805), hAPP(hAPP(c_List_Olist_OCons(_u17805), _u17807), _u17808), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17805), tc_List_Olist(_u17805)), c_List_Odrop(_u17805)), _u17808), _u17806)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__Cons_H-1, axiom, ( ( _u17813 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17815), _u17813), hAPP(hAPP(c_List_Olist_OCons(_u17815), _u17817), _u17819)) = hAPP(hAPP(c_List_Olist_OCons(_u17815), _u17817), _u17819)) )).
% 12.21/12.42 cnf(fact_drop__Cons_H-2, axiom, ( ( _u17814 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17816), _u17814), hAPP(hAPP(c_List_Olist_OCons(_u17816), _u17818), _u17820)) = hAPP(hAPP(c_List_Odrop(_u17816), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17814), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17820)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17821), _u17822)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17823)), _u17824))) | ( hAPP(hAPP(c_List_Onth(_u17823), hAPP(hAPP(c_List_Odrop(_u17823), _u17821), _u17824)), _u17822) = hAPP(hAPP(c_List_Onth(_u17823), _u17824), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17821), _u17822))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( _u17832 = hAPP(hAPP(c_List_Otake(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), _u17836)) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( _u17834 = hAPP(hAPP(c_List_Oappend(_u17830), hAPP(hAPP(c_List_Odrop(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), _u17836)), _u17838)) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( hAPP(hAPP(c_List_Otake(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836)), _u17832) = _u17836) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( hAPP(hAPP(c_List_Oappend(_u17830), hAPP(hAPP(c_List_Odrop(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836)), _u17832)), _u17834) = _u17838) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17831), _u17833), _u17835) = hAPP(hAPP(c_List_Oappend(_u17831), _u17837), _u17839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837))) | ( hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833) != _u17837) | ( hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833)), _u17835) != _u17839) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17831), _u17833), _u17835) = hAPP(hAPP(c_List_Oappend(_u17831), _u17837), _u17839)) | ( _u17833 != hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)) | ( _u17835 != hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)), _u17839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837))) )).
% 12.21/12.42 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17831), _u17833), _u17835) = hAPP(hAPP(c_List_Oappend(_u17831), _u17837), _u17839)) | ( _u17833 != hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)) | ( _u17835 != hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)), _u17839)) | ( hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833) != _u17837) | ( hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833)), _u17835) != _u17839) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17840), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17841)), _u17842))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17841), hAPP(hAPP(c_List_Onth(_u17841), _u17842), _u17840)), hAPP(hAPP(c_List_Odrop(_u17841), hAPP(c_Nat_OSuc, _u17840)), _u17842)) = hAPP(hAPP(c_List_Odrop(_u17841), _u17840), _u17842)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u17843), c_List_Olist_ONil(_u17843)) = c_List_Olist_ONil(_u17843)) )).
% 12.21/12.42 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u17844), hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17845), _u17846)) = hAPP(hAPP(c_List_Oappend(_u17844), _u17846), hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17845), c_List_Olist_ONil(_u17844)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17851) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17853), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17851)), hAPP(hAPP(c_List_Olist_OCons(_u17853), _u17855), _u17857)) = hAPP(hAPP(c_List_Olist_OCons(_u17853), _u17855), _u17857)) )).
% 12.21/12.42 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17852) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17854), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17852)), hAPP(hAPP(c_List_Olist_OCons(_u17854), _u17856), _u17858)) = hAPP(hAPP(c_List_Odrop(_u17854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17852)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17858)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__add ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17859), _u17860)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)), _u17862))) | ( hAPP(hAPP(c_List_Otake(_u17861), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17859), _u17860)), _u17862) = hAPP(hAPP(c_List_Oappend(_u17861), hAPP(hAPP(c_List_Otake(_u17861), _u17859), _u17862)), hAPP(hAPP(c_List_Otake(_u17861), _u17860), hAPP(hAPP(c_List_Odrop(_u17861), _u17859), _u17862)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate1__length01-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17863)), _u17864)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u17863), _u17864) = _u17864) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17865, _u17866), _u17867), hAPP(hAPP(c_List_Oappend(_u17866), _u17868), _u17869)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17865, _u17866)), hAPP(hAPP(c_List_Ozip(_u17865, _u17866), hAPP(hAPP(c_List_Otake(_u17865), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17866)), _u17868)), _u17867)), _u17868)), hAPP(hAPP(c_List_Ozip(_u17865, _u17866), hAPP(hAPP(c_List_Odrop(_u17865), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17866)), _u17868)), _u17867)), _u17869))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17870, _u17871), hAPP(hAPP(c_List_Oappend(_u17870), _u17872), _u17873)), _u17874) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17870, _u17871)), hAPP(hAPP(c_List_Ozip(_u17870, _u17871), _u17872), hAPP(hAPP(c_List_Otake(_u17871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17870)), _u17872)), _u17874))), hAPP(hAPP(c_List_Ozip(_u17870, _u17871), _u17873), hAPP(hAPP(c_List_Odrop(_u17871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17870)), _u17872)), _u17874)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17875), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17876)), _u17877))) | ( _u17877 = hAPP(hAPP(c_List_Oappend(_u17876), hAPP(hAPP(c_List_Otake(_u17876), _u17875), _u17877)), hAPP(hAPP(c_List_Olist_OCons(_u17876), hAPP(hAPP(c_List_Onth(_u17876), _u17877), _u17875)), hAPP(hAPP(c_List_Odrop(_u17876), hAPP(c_Nat_OSuc, _u17875)), _u17877)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17879)), _u17880))) | ( hAPP(hAPP(c_List_Oappend(_u17879), hAPP(hAPP(c_List_Otake(_u17879), _u17878), _u17880)), hAPP(hAPP(c_List_Olist_OCons(_u17879), hAPP(c_List_Ohd(_u17879), hAPP(hAPP(c_List_Odrop(_u17879), _u17878), _u17880))), c_List_Olist_ONil(_u17879))) = hAPP(hAPP(c_List_Otake(_u17879), hAPP(c_Nat_OSuc, _u17878)), _u17880)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u17881 = c_List_Olist_ONil(_u17882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17883), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17882)), _u17881))) | ( hAPP(c_List_Ohd(_u17882), hAPP(hAPP(c_List_Odrop(_u17882), _u17883), _u17881)) = hAPP(hAPP(c_List_Onth(_u17882), _u17881), _u17883)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u17884), hAPP(hAPP(c_List_Olist_OCons(_u17884), _u17885), _u17886)) = _u17885) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__map-1, axiom, ( ( _u17887 = c_List_Olist_ONil(_u17888)) | ( hAPP(c_List_Ohd(_u17889), hAPP(hAPP(c_List_Omap(_u17888, _u17889), _u17890), _u17887)) = hAPP(_u17890, hAPP(c_List_Ohd(_u17888), _u17887))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__append-1, axiom, ( ( _u17894 != c_List_Olist_ONil(_u17896)) | ( hAPP(c_List_Ohd(_u17896), hAPP(hAPP(c_List_Oappend(_u17896), _u17894), _u17898)) = hAPP(c_List_Ohd(_u17896), _u17898)) )).
% 12.21/12.42 cnf(fact_hd__append-2, axiom, ( ( _u17895 = c_List_Olist_ONil(_u17897)) | ( hAPP(c_List_Ohd(_u17897), hAPP(hAPP(c_List_Oappend(_u17897), _u17895), _u17899)) = hAPP(c_List_Ohd(_u17897), _u17895)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__append2-1, axiom, ( ( _u17900 = c_List_Olist_ONil(_u17901)) | ( hAPP(c_List_Ohd(_u17901), hAPP(hAPP(c_List_Oappend(_u17901), _u17900), _u17902)) = hAPP(c_List_Ohd(_u17901), _u17900)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__in__set-1, axiom, ( ( _u17903 = c_List_Olist_ONil(_u17904)) | hBOOL(hAPP(hAPP(c_member(_u17904), hAPP(c_List_Ohd(_u17904), _u17903)), hAPP(c_List_Oset(_u17904), _u17903))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__conv__nth-1, axiom, ( ( _u17905 = c_List_Olist_ONil(_u17906)) | ( hAPP(c_List_Ohd(_u17906), _u17905) = hAPP(hAPP(c_List_Onth(_u17906), _u17905), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u17907 = c_List_Olist_ONil(_u17908)) | ( hAPP(c_List_Orotate1(_u17908), _u17907) = hAPP(hAPP(c_List_Oappend(_u17908), hAPP(c_List_Otl(_u17908), _u17907)), hAPP(hAPP(c_List_Olist_OCons(_u17908), hAPP(c_List_Ohd(_u17908), _u17907)), c_List_Olist_ONil(_u17908)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u17909 = c_List_Olist_ONil(_u17910)) | ( hAPP(c_List_Ohd(_u17910), hAPP(c_List_Orotate(_u17910, _u17911), _u17909)) = hAPP(hAPP(c_List_Onth(_u17910), _u17909), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17911, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17910)), _u17909)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u17912), hAPP(hAPP(c_List_Odrop(_u17912), _u17913), _u17914)) = hAPP(hAPP(c_List_Odrop(_u17912), _u17913), hAPP(c_List_Otl(_u17912), _u17914))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17915), _u17916), hAPP(c_List_Otl(_u17915), _u17917)) = hAPP(c_List_Otl(_u17915), hAPP(hAPP(c_List_Odrop(_u17915), _u17916), _u17917))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u17918, _u17919), _u17920) = hAPP(c_List_Orotate(_u17918, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17919, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17918)), _u17920))), _u17920)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17921), hAPP(c_Nat_OSuc, _u17922)), _u17923) = hAPP(hAPP(c_List_Odrop(_u17921), _u17922), hAPP(c_List_Otl(_u17921), _u17923))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_tl__append2-1, axiom, ( ( _u17924 = c_List_Olist_ONil(_u17925)) | ( hAPP(c_List_Otl(_u17925), hAPP(hAPP(c_List_Oappend(_u17925), _u17924), _u17926)) = hAPP(hAPP(c_List_Oappend(_u17925), hAPP(c_List_Otl(_u17925), _u17924)), _u17926)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u17927, _u17928), hAPP(hAPP(c_List_Omap(_u17929, _u17927), _u17930), _u17931)) = hAPP(hAPP(c_List_Omap(_u17929, _u17927), _u17930), hAPP(c_List_Orotate(_u17929, _u17928), _u17931))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17932, _u17933), _u17934), hAPP(c_List_Otl(_u17932), _u17935)) = hAPP(c_List_Otl(_u17933), hAPP(hAPP(c_List_Omap(_u17932, _u17933), _u17934), _u17935))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u17939, _u17941), _u17943) != c_List_Olist_ONil(_u17939)) | ( _u17943 = c_List_Olist_ONil(_u17939)) )).
% 12.21/12.42 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u17944 != c_List_Olist_ONil(_u17940)) | ( hAPP(c_List_Orotate(_u17940, _u17942), _u17944) = c_List_Olist_ONil(_u17940)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u17945), c_List_Olist_ONil(_u17945)) = c_List_Olist_ONil(_u17945)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), hAPP(c_List_Orotate(_u17946, _u17947), _u17948)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), _u17948)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17952), hAPP(c_List_Orotate(_u17952, _u17954), _u17956))) | hBOOL(hAPP(c_List_Odistinct(_u17952), _u17956)) )).
% 12.21/12.42 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17953), _u17957)) | hBOOL(hAPP(c_List_Odistinct(_u17953), hAPP(c_List_Orotate(_u17953, _u17955), _u17957))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17958), _u17959)) | hBOOL(hAPP(c_List_Odistinct(_u17958), hAPP(c_List_Otl(_u17958), _u17959))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u17960, _u17961), hAPP(c_List_Orotate(_u17960, _u17962), _u17963)) = hAPP(c_List_Orotate(_u17960, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17961), _u17962)), _u17963)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u17964), hAPP(c_List_Orotate(_u17964, _u17965), _u17966)) = hAPP(c_List_Oset(_u17964), _u17966)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u17967), hAPP(hAPP(c_List_Olist_OCons(_u17967), _u17968), _u17969)) = _u17969) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17970), _u17971), hAPP(c_List_Otl(_u17970), _u17972)) = hAPP(c_List_Otl(_u17970), hAPP(hAPP(c_List_Otake(_u17970), hAPP(c_Nat_OSuc, _u17971)), _u17972))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u17973), hAPP(c_List_Orotate(_u17973, _u17974), _u17975)) = hAPP(c_List_Orotate(_u17973, _u17974), hAPP(c_List_Orotate1(_u17973), _u17975))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u17976, _u17977) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u17976), tc_List_Olist(_u17976)), _u17977), c_List_Orotate1(_u17976))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u17978, hAPP(c_Nat_OSuc, _u17979)), _u17980) = hAPP(c_List_Orotate1(_u17978), hAPP(c_List_Orotate(_u17978, _u17979), _u17980))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u17981), hAPP(hAPP(c_List_Oappend(_u17981), _u17982), _u17983)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17981), _u17981, hAPP(c_List_Otl(_u17981), _u17983), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17981), tc_List_Olist(_u17981)), _u17981), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17981), tc_List_Olist(_u17981), tc_List_Olist(_u17981)), c_List_Oappend(_u17981)), _u17983))), _u17982)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u17984, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u17984))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u17985, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17986), _u17987)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u17985), tc_List_Olist(_u17985), tc_List_Olist(_u17985), c_List_Orotate(_u17985, _u17986)), c_List_Orotate(_u17985, _u17987))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17988, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17990)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u17989, _u17988), _u17990) = _u17990) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__length01-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17991)), _u17992)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u17991, _u17993), _u17992) = _u17992) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17994)), hAPP(c_List_Otl(_u17994), _u17995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17994)), _u17995)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u17996), hAPP(hAPP(c_List_Otake(_u17996), _u17997), _u17998)) = hAPP(hAPP(c_List_Otake(_u17996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17997), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u17996), _u17998))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__Suc-1, axiom, ( ( _u17999 = c_List_Olist_ONil(_u18000)) | ( hAPP(hAPP(c_List_Otake(_u18000), hAPP(c_Nat_OSuc, _u18001)), _u17999) = hAPP(hAPP(c_List_Olist_OCons(_u18000), hAPP(c_List_Ohd(_u18000), _u17999)), hAPP(hAPP(c_List_Otake(_u18000), _u18001), hAPP(c_List_Otl(_u18000), _u17999)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u18002, _u18003), _u18004) = hAPP(hAPP(c_List_Oappend(_u18002), hAPP(hAPP(c_List_Odrop(_u18002), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18003, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18004))), _u18004)), hAPP(hAPP(c_List_Otake(_u18002), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18003, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18004))), _u18004))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u18005) | ( _u18006 = c_List_Olist_ONil(_u18005)) | ( hAPP(c_Finite__Set_Ofold1(_u18005, c_Groups_Otimes__class_Otimes(_u18005)), hAPP(c_List_Oset(_u18005), _u18006)) = hAPP(c_List_Ofoldl(_u18005, _u18005, c_Groups_Otimes__class_Otimes(_u18005), hAPP(c_List_Ohd(_u18005), _u18006)), hAPP(c_List_Otl(_u18005), _u18006))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u18009 != hAPP(hAPP(c_List_Olist_OCons(_u18010), _u18008), _u18007)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18010), tc_List_Olist(_u18010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18010), tc_List_Olist(_u18010)), _u18011), hAPP(hAPP(c_List_Oappend(_u18010), _u18011), _u18009))), c_List_Olexord(_u18010, _u18012))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18013, _u18014, _u18015, _u18016), hAPP(hAPP(c_List_Olist_OCons(_u18014), _u18017), _u18018)) = hAPP(c_List_Ofoldl(_u18013, _u18014, _u18015, hAPP(hAPP(_u18015, _u18016), _u18017)), _u18018)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u18019) | ( hAPP(c_List_Ofoldl(_u18019, _u18019, c_Groups_Oplus__class_Oplus(_u18019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18019), _u18020), _u18021)), _u18022) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18019), _u18020), hAPP(c_List_Ofoldl(_u18019, _u18019, c_Groups_Oplus__class_Oplus(_u18019), _u18021), _u18022))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u18023) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18023), _u18024), hAPP(c_List_Ofoldl(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), c_Groups_Ozero__class_Ozero(_u18023)), _u18025)) = hAPP(c_List_Ofoldl(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), _u18024), _u18025)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u18026) | ( c_List_Ofoldr(_u18026, _u18026, c_Groups_Oplus__class_Oplus(_u18026), _u18027, _u18028) = hAPP(c_List_Ofoldl(_u18026, _u18026, c_Groups_Oplus__class_Oplus(_u18026), _u18028), _u18027)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18029), _u18030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18029), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18030), _u18031))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18032, _u18033, _u18034, _u18035), c_List_Olist_ONil(_u18033)) = _u18035) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18036, _u18037, _u18038, _u18039), hAPP(hAPP(c_List_Omap(_u18040, _u18037), _u18041), _u18042)) = hAPP(c_List_Ofoldl(_u18036, _u18040, hAPP(hAPP(c_COMBC(_u18036, tc_fun(_u18040, _u18037), tc_fun(_u18040, _u18036)), hAPP(hAPP(c_COMBB(tc_fun(_u18037, _u18036), tc_fun(tc_fun(_u18040, _u18037), tc_fun(_u18040, _u18036)), _u18036), c_COMBB(_u18037, _u18036, _u18040)), _u18038)), _u18041), _u18039), _u18042)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18043, _u18044, _u18045, _u18046), hAPP(hAPP(c_List_Oappend(_u18044), _u18047), _u18048)) = hAPP(c_List_Ofoldl(_u18043, _u18044, _u18045, hAPP(c_List_Ofoldl(_u18043, _u18044, _u18045, _u18046), _u18047)), _u18048)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u18049) | ( c_List_Omonoid__add__class_Olistsum(_u18049) = c_List_Ofoldl(_u18049, _u18049, c_Groups_Oplus__class_Oplus(_u18049), c_Groups_Ozero__class_Ozero(_u18049))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u18050) | ( hAPP(c_List_Ofoldl(_u18050, _u18050, c_Groups_Oplus__class_Oplus(_u18050), c_Groups_Ozero__class_Ozero(_u18050)), _u18051) = c_List_Ofoldr(_u18050, _u18050, c_Groups_Oplus__class_Oplus(_u18050), _u18051, c_Groups_Ozero__class_Ozero(_u18050))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u18052) | ( hAPP(c_List_Ofoldl(_u18052, _u18052, c_Groups_Oplus__class_Oplus(_u18052), _u18053), _u18054) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18052), _u18053), c_List_Ofoldr(_u18052, _u18052, c_Groups_Oplus__class_Oplus(_u18052), _u18054, c_Groups_Ozero__class_Ozero(_u18052)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sum__eq__0__conv-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18059), _u18061) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42 cnf(fact_sum__eq__0__conv-2, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18059), _u18061) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18055), hAPP(c_List_Oset(tc_Nat_Onat), _u18061))) | ( _u18055 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42 cnf(fact_sum__eq__0__conv-3, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18060), _u18062) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18060 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem445(_u18062, _u18060)), hAPP(c_List_Oset(tc_Nat_Onat), _u18062))) )).
% 12.21/12.42 cnf(fact_sum__eq__0__conv-4, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18060), _u18062) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18060 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem445(_u18062, _u18060) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u18063, _u18064, _u18065) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u18063, _u18064, _u18065), _u18066), hAPP(c_List_Oset(_u18063), _u18067)) = hAPP(c_List_Ofoldl(_u18064, _u18063, hAPP(c_COMBC(_u18063, _u18064, _u18064), _u18065), _u18066), _u18067)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18068) | ( c_Complete__Lattice_OSup__class_OSup(_u18068, hAPP(c_List_Oset(_u18068), _u18069)) = hAPP(c_List_Ofoldl(_u18068, _u18068, c_Lattices_Osemilattice__sup__class_Osup(_u18068), c_Orderings_Obot__class_Obot(_u18068)), _u18069)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18070) | ( c_Complete__Lattice_OInf__class_OInf(_u18070, hAPP(c_List_Oset(_u18070), _u18071)) = hAPP(c_List_Ofoldl(_u18070, _u18070, c_Lattices_Osemilattice__inf__class_Oinf(_u18070), c_Orderings_Otop__class_Otop(_u18070)), _u18071)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u18072) | ( c_Big__Operators_Olattice__class_OSup__fin(_u18072, hAPP(c_List_Oset(_u18072), hAPP(hAPP(c_List_Olist_OCons(_u18072), _u18073), _u18074))) = hAPP(c_List_Ofoldl(_u18072, _u18072, c_Lattices_Osemilattice__sup__class_Osup(_u18072), _u18073), _u18074)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u18075) | ( c_Big__Operators_Olattice__class_OInf__fin(_u18075, hAPP(c_List_Oset(_u18075), hAPP(hAPP(c_List_Olist_OCons(_u18075), _u18076), _u18077))) = hAPP(c_List_Ofoldl(_u18075, _u18075, c_Lattices_Osemilattice__inf__class_Oinf(_u18075), _u18076), _u18077)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u18078) | ( c_Big__Operators_Olinorder__class_OMin(_u18078, hAPP(c_List_Oset(_u18078), hAPP(hAPP(c_List_Olist_OCons(_u18078), _u18079), _u18080))) = hAPP(c_List_Ofoldl(_u18078, _u18078, c_Orderings_Oord__class_Omin(_u18078), _u18079), _u18080)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u18081) | ( c_Big__Operators_Olinorder__class_OMax(_u18081, hAPP(c_List_Oset(_u18081), hAPP(hAPP(c_List_Olist_OCons(_u18081), _u18082), _u18083))) = hAPP(c_List_Ofoldl(_u18081, _u18081, c_Orderings_Oord__class_Omax(_u18081), _u18082), _u18083)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u18084) | ( c_Big__Operators_Olattice_OInf__fin(_u18084, c_Orderings_Oord__class_Omin(_u18084), hAPP(c_List_Oset(_u18084), hAPP(hAPP(c_List_Olist_OCons(_u18084), _u18085), _u18086))) = hAPP(c_List_Ofoldl(_u18084, _u18084, c_Orderings_Oord__class_Omin(_u18084), _u18085), _u18086)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u18087) | ( c_Big__Operators_Olattice_OSup__fin(_u18087, c_Orderings_Oord__class_Omax(_u18087), hAPP(c_List_Oset(_u18087), hAPP(hAPP(c_List_Olist_OCons(_u18087), _u18088), _u18089))) = hAPP(c_List_Ofoldl(_u18087, _u18087, c_Orderings_Oord__class_Omax(_u18087), _u18088), _u18089)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18090) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18091, _u18090), hAPP(c_List_Oset(_u18091), _u18092)), _u18093) = hAPP(c_List_Ofoldl(_u18090, _u18091, hAPP(c_COMBC(_u18091, _u18090, _u18090), hAPP(hAPP(c_COMBB(_u18090, tc_fun(_u18090, _u18090), _u18091), c_Lattices_Osemilattice__sup__class_Osup(_u18090)), _u18093)), c_Orderings_Obot__class_Obot(_u18090)), _u18092)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18094) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18095, _u18094), hAPP(c_List_Oset(_u18095), _u18096)), _u18097) = hAPP(c_List_Ofoldl(_u18094, _u18095, hAPP(c_COMBC(_u18095, _u18094, _u18094), hAPP(hAPP(c_COMBB(_u18094, tc_fun(_u18094, _u18094), _u18095), c_Lattices_Osemilattice__inf__class_Oinf(_u18094)), _u18097)), c_Orderings_Otop__class_Otop(_u18094)), _u18096)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__fold__map__upd ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__fold__map__upd-1, axiom, ( ( c_Map_Omap__upds(_u18098, _u18099, _u18100, _u18101, _u18102) = hAPP(c_List_Ofoldl(tc_fun(_u18098, tc_Option_Ooption(_u18099)), tc_prod(_u18098, _u18099), hAPP(hAPP(c_COMBB(tc_fun(_u18098, tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099)))), tc_fun(tc_prod(_u18098, _u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099))), tc_fun(_u18098, tc_Option_Ooption(_u18099))), c_Product__Type_Oprod_Oprod__case(_u18098, _u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099)))), hAPP(hAPP(c_COMBC(tc_fun(_u18098, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18098, tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), hAPP(hAPP(c_COMBB(tc_fun(_u18098, tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18098, tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), tc_fun(_u18098, tc_Option_Ooption(_u18099))), c_COMBC(_u18098, tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), hAPP(hAPP(c_COMBB(tc_fun(_u18098, tc_fun(tc_Option_Ooption(_u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099)))), tc_fun(_u18098, tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), tc_fun(_u18098, tc_Option_Ooption(_u18099))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099))), tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099)))), _u18098), c_COMBB(tc_Option_Ooption(_u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099)), _u18099))), c_Fun_Ofun__upd(_u18098, tc_Option_Ooption(_u18099))))), c_Option_Ooption_OSome(_u18099))), _u18100), hAPP(hAPP(c_List_Ozip(_u18098, _u18099), _u18101), _u18102))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18103), hAPP(c_List_Oset(tc_Nat_Onat), _u18104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18103), 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)), _u18104))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18112), tc_List_Olist(_u18112))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18112), tc_List_Olist(_u18112)), c_List_Olist_ONil(_u18112)), _u18114)), c_List_Olexord(_u18112, _u18116))) | ( _u18114 = hAPP(hAPP(c_List_Olist_OCons(_u18112), skolem446(_u18116, _u18114, _u18112)), skolem447(_u18116, _u18114, _u18112))) )).
% 12.21/12.42 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u18115 != hAPP(hAPP(c_List_Olist_OCons(_u18113), _u18108), _u18107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18113), tc_List_Olist(_u18113))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18113), tc_List_Olist(_u18113)), c_List_Olist_ONil(_u18113)), _u18115)), c_List_Olexord(_u18113, _u18117))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__list__update-1, axiom, ( ( _u18118 = c_List_Olist_ONil(_u18119)) | ( _u18120 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18119)), _u18118)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u18119, hAPP(hAPP(c_List_Olist__update(_u18119, _u18118), _u18120), _u18121)) = _u18121) )).
% 12.21/12.42 cnf(fact_last__list__update-2, axiom, ( ( _u18118 = c_List_Olist_ONil(_u18119)) | ( _u18120 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18119)), _u18118)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u18119, hAPP(hAPP(c_List_Olist__update(_u18119, _u18118), _u18120), _u18121)) = c_List_Olast(_u18119, _u18118)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__appendL-1, axiom, ( ( _u18122 != c_List_Olist_ONil(_u18123)) | ( c_List_Olast(_u18123, hAPP(hAPP(c_List_Oappend(_u18123), _u18124), _u18122)) = c_List_Olast(_u18123, _u18124)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__appendR-1, axiom, ( ( _u18125 = c_List_Olist_ONil(_u18126)) | ( c_List_Olast(_u18126, hAPP(hAPP(c_List_Oappend(_u18126), _u18127), _u18125)) = c_List_Olast(_u18126, _u18125)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__append-1, axiom, ( ( _u18131 != c_List_Olist_ONil(_u18133)) | ( c_List_Olast(_u18133, hAPP(hAPP(c_List_Oappend(_u18133), _u18135), _u18131)) = c_List_Olast(_u18133, _u18135)) )).
% 12.21/12.42 cnf(fact_last__append-2, axiom, ( ( _u18132 = c_List_Olist_ONil(_u18134)) | ( c_List_Olast(_u18134, hAPP(hAPP(c_List_Oappend(_u18134), _u18136), _u18132)) = c_List_Olast(_u18134, _u18132)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__map-1, axiom, ( ( _u18137 = c_List_Olist_ONil(_u18138)) | ( c_List_Olast(_u18139, hAPP(hAPP(c_List_Omap(_u18138, _u18139), _u18140), _u18137)) = hAPP(_u18140, c_List_Olast(_u18138, _u18137))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last_Osimps-1, axiom, ( ( _u18144 != c_List_Olist_ONil(_u18146)) | ( c_List_Olast(_u18146, hAPP(hAPP(c_List_Olist_OCons(_u18146), _u18148), _u18144)) = _u18148) )).
% 12.21/12.42 cnf(fact_last_Osimps-2, axiom, ( ( _u18145 = c_List_Olist_ONil(_u18147)) | ( c_List_Olast(_u18147, hAPP(hAPP(c_List_Olist_OCons(_u18147), _u18149), _u18145)) = c_List_Olast(_u18147, _u18145)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__ConsR-1, axiom, ( ( _u18150 = c_List_Olist_ONil(_u18151)) | ( c_List_Olast(_u18151, hAPP(hAPP(c_List_Olist_OCons(_u18151), _u18152), _u18150)) = c_List_Olast(_u18151, _u18150)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__ConsL-1, axiom, ( ( _u18153 != c_List_Olist_ONil(_u18154)) | ( c_List_Olast(_u18154, hAPP(hAPP(c_List_Olist_OCons(_u18154), _u18155), _u18153)) = _u18155) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__in__set-1, axiom, ( ( _u18156 = c_List_Olist_ONil(_u18157)) | hBOOL(hAPP(hAPP(c_member(_u18157), c_List_Olast(_u18157, _u18156)), hAPP(c_List_Oset(_u18157), _u18156))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u18158, hAPP(hAPP(c_List_Oappend(_u18158), _u18159), hAPP(hAPP(c_List_Olist_OCons(_u18158), _u18160), c_List_Olist_ONil(_u18158)))) = _u18160) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18161), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18162)), _u18163))) | ( c_List_Olast(_u18162, hAPP(hAPP(c_List_Odrop(_u18162), _u18161), _u18163)) = c_List_Olast(_u18162, _u18163)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__conv__nth-1, axiom, ( ( _u18164 = c_List_Olist_ONil(_u18165)) | ( c_List_Olast(_u18165, _u18164) = hAPP(hAPP(c_List_Onth(_u18165), _u18164), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18165)), _u18164)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__zip__enum__is__Some ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__zip__enum__is__Some-1, axiom, ( ~class_Enum_Oenum(_u18167) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18168)), _u18169) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18167)), c_Enum_Oenum__class_Oenum(_u18167))) | ( hAPP(hAPP(c_Map_Omap__of(_u18167, _u18168), hAPP(hAPP(c_List_Ozip(_u18167, _u18168), c_Enum_Oenum__class_Oenum(_u18167)), _u18169)), _u18170) = hAPP(c_Option_Ooption_OSome(_u18168), skolem448(_u18170, _u18169, _u18168, _u18167))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u18171), _u18172) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u18171, 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)))), _u18172)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18174, _u18174)), hAPP(hAPP(c_Product__Type_OPair(_u18174, _u18174), skolem449(_u18176, _u18175, _u18174)), skolem449(_u18176, _u18175, _u18174))), _u18175)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18174), tc_List_Olist(_u18174))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18174), tc_List_Olist(_u18174)), _u18176), _u18176)), c_List_Olexord(_u18174, _u18175))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18181), _u18182)), c_List_Olexord(_u18179, _u18180))) | ( _u18181 = _u18182) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18182), _u18181)), c_List_Olexord(_u18179, _u18180))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18179, _u18179)), hAPP(hAPP(c_Product__Type_OPair(_u18179, _u18179), skolem450(_u18182, _u18181, _u18180, _u18179)), skolem451(_u18182, _u18181, _u18180, _u18179))), _u18180)) )).
% 12.21/12.42 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18181), _u18182)), c_List_Olexord(_u18179, _u18180))) | ( _u18181 = _u18182) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18182), _u18181)), c_List_Olexord(_u18179, _u18180))) | ( skolem450(_u18182, _u18181, _u18180, _u18179) != skolem451(_u18182, _u18181, _u18180, _u18179)) )).
% 12.21/12.42 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18181), _u18182)), c_List_Olexord(_u18179, _u18180))) | ( _u18181 = _u18182) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18182), _u18181)), c_List_Olexord(_u18179, _u18180))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18179, _u18179)), hAPP(hAPP(c_Product__Type_OPair(_u18179, _u18179), skolem451(_u18182, _u18181, _u18180, _u18179)), skolem450(_u18182, _u18181, _u18180, _u18179))), _u18180)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), _u18192), c_List_Olists(_u18190, _u18194))) | ( _u18192 = c_List_Olist_ONil(_u18190)) | hBOOL(hAPP(hAPP(c_member(_u18190), skolem452(_u18194, _u18192, _u18190)), _u18194)) )).
% 12.21/12.42 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), _u18192), c_List_Olists(_u18190, _u18194))) | ( _u18192 = c_List_Olist_ONil(_u18190)) | ( _u18192 = hAPP(hAPP(c_List_Olist_OCons(_u18190), skolem452(_u18194, _u18192, _u18190)), skolem453(_u18194, _u18192, _u18190))) )).
% 12.21/12.42 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), _u18192), c_List_Olists(_u18190, _u18194))) | ( _u18192 = c_List_Olist_ONil(_u18190)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), skolem453(_u18194, _u18192, _u18190)), c_List_Olists(_u18190, _u18194))) )).
% 12.21/12.42 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18191)), _u18193), c_List_Olists(_u18191, _u18195))) | ( _u18193 != c_List_Olist_ONil(_u18191)) )).
% 12.21/12.42 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18191)), _u18193), c_List_Olists(_u18191, _u18195))) | ~hBOOL(hAPP(hAPP(c_member(_u18191), _u18186), _u18195)) | ( _u18193 != hAPP(hAPP(c_List_Olist_OCons(_u18191), _u18186), _u18185)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18191)), _u18185), c_List_Olists(_u18191, _u18195))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_weak__map__of__SomeI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_weak__map__of__SomeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18197, _u18198)), hAPP(hAPP(c_Product__Type_OPair(_u18197, _u18198), _u18199), _u18200)), hAPP(c_List_Oset(tc_prod(_u18197, _u18198)), _u18201))) | ( hAPP(hAPP(c_Map_Omap__of(_u18197, _u18198), _u18201), _u18199) = hAPP(c_Option_Ooption_OSome(_u18198), skolem454(_u18201, _u18200, _u18199, _u18198, _u18197))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u18203, _u18205, _u18204)), c_List_Olist_Olist__size(_u18203, _u18206, _u18204))) | hBOOL(hAPP(hAPP(c_member(_u18203), skolem455(_u18206, _u18205, _u18204, _u18203)), hAPP(c_List_Oset(_u18203), _u18204))) )).
% 12.21/12.42 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u18203, _u18205, _u18204)), c_List_Olist_Olist__size(_u18203, _u18206, _u18204))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18205, skolem455(_u18206, _u18205, _u18204, _u18203))), hAPP(_u18206, skolem455(_u18206, _u18205, _u18204, _u18203)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18207), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18209))) | ( c_List_Obutlast(_u18208, hAPP(hAPP(c_List_Otake(_u18208), _u18207), _u18209)) = hAPP(hAPP(c_List_Otake(_u18208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18207), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18209)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u18210, hAPP(hAPP(c_List_Odrop(_u18210), _u18211), _u18212)) = hAPP(hAPP(c_List_Odrop(_u18210), _u18211), c_List_Obutlast(_u18210, _u18212))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u18213), _u18214), c_List_Obutlast(_u18213, _u18215)) = c_List_Obutlast(_u18213, hAPP(hAPP(c_List_Odrop(_u18213), _u18214), _u18215))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast__append-1, axiom, ( ( _u18219 != c_List_Olist_ONil(_u18221)) | ( c_List_Obutlast(_u18221, hAPP(hAPP(c_List_Oappend(_u18221), _u18223), _u18219)) = c_List_Obutlast(_u18221, _u18223)) )).
% 12.21/12.42 cnf(fact_butlast__append-2, axiom, ( ( _u18220 = c_List_Olist_ONil(_u18222)) | ( c_List_Obutlast(_u18222, hAPP(hAPP(c_List_Oappend(_u18222), _u18224), _u18220)) = hAPP(hAPP(c_List_Oappend(_u18222), _u18224), c_List_Obutlast(_u18222, _u18220))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18225, _u18226), _u18227), c_List_Obutlast(_u18225, _u18228)) = c_List_Obutlast(_u18226, hAPP(hAPP(c_List_Omap(_u18225, _u18226), _u18227), _u18228))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u18229, c_List_Olist_ONil(_u18229)) = c_List_Olist_ONil(_u18229)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__butlast-1, axiom, ( ( _u18230 = c_List_Olist_ONil(_u18231)) | ~hBOOL(hAPP(c_List_Odistinct(_u18231), _u18230)) | hBOOL(hAPP(c_List_Odistinct(_u18231), c_List_Obutlast(_u18231, _u18230))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18232), _u18233), hAPP(c_List_Oset(_u18232), c_List_Obutlast(_u18232, _u18234)))) | hBOOL(hAPP(hAPP(c_member(_u18232), _u18233), hAPP(c_List_Oset(_u18232), _u18234))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u18238 != c_List_Olist_ONil(_u18240)) | ( c_List_Obutlast(_u18240, hAPP(hAPP(c_List_Olist_OCons(_u18240), _u18242), _u18238)) = c_List_Olist_ONil(_u18240)) )).
% 12.21/12.42 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u18239 = c_List_Olist_ONil(_u18241)) | ( c_List_Obutlast(_u18241, hAPP(hAPP(c_List_Olist_OCons(_u18241), _u18243), _u18239)) = hAPP(hAPP(c_List_Olist_OCons(_u18241), _u18243), c_List_Obutlast(_u18241, _u18239))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, hAPP(hAPP(c_List_Oappend(_u18244), _u18246), _u18247))))) | ~hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, _u18246)))) )).
% 12.21/12.42 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, hAPP(hAPP(c_List_Oappend(_u18244), _u18246), _u18247))))) | ~hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, _u18247)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u18248, hAPP(hAPP(c_List_Oappend(_u18248), _u18249), hAPP(hAPP(c_List_Olist_OCons(_u18248), _u18250), c_List_Olist_ONil(_u18248)))) = _u18249) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18251), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18252)), _u18253))) | ( hAPP(hAPP(c_List_Otake(_u18252), _u18251), c_List_Obutlast(_u18252, _u18253)) = hAPP(hAPP(c_List_Otake(_u18252), _u18251), _u18253)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18254)), c_List_Obutlast(_u18254, _u18255)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18254)), _u18255)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u18256, _u18257) = hAPP(hAPP(c_List_Otake(_u18256), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18256)), _u18257)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18257)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_butlast__list__update-1, axiom, ( ( _u18262 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18264)), _u18266)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u18264, hAPP(hAPP(c_List_Olist__update(_u18264, _u18266), _u18262), _u18268)) = c_List_Obutlast(_u18264, _u18266)) )).
% 12.21/12.42 cnf(fact_butlast__list__update-2, axiom, ( ( _u18263 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18265)), _u18267)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u18265, hAPP(hAPP(c_List_Olist__update(_u18265, _u18267), _u18263), _u18269)) = hAPP(hAPP(c_List_Olist__update(_u18265, c_List_Obutlast(_u18265, _u18267)), _u18263), _u18269)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u18270 = c_List_Olist_ONil(_u18271)) | ( hAPP(hAPP(c_List_Oappend(_u18271), c_List_Obutlast(_u18271, _u18270)), hAPP(hAPP(c_List_Olist_OCons(_u18271), c_List_Olast(_u18271, _u18270)), c_List_Olist_ONil(_u18271))) = _u18270) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18276), _u18278), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18280), c_List_Olist_ONil(_u18276))) != _u18282) | ( _u18282 != c_List_Olist_ONil(_u18276)) )).
% 12.21/12.42 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18276), _u18278), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18280), c_List_Olist_ONil(_u18276))) != _u18282) | ( c_List_Obutlast(_u18276, _u18282) = _u18278) )).
% 12.21/12.42 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18276), _u18278), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18280), c_List_Olist_ONil(_u18276))) != _u18282) | ( c_List_Olast(_u18276, _u18282) = _u18280) )).
% 12.21/12.42 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u18283 = c_List_Olist_ONil(_u18277)) | ( c_List_Obutlast(_u18277, _u18283) != _u18279) | ( c_List_Olast(_u18277, _u18283) != _u18281) | ( hAPP(hAPP(c_List_Oappend(_u18277), _u18279), hAPP(hAPP(c_List_Olist_OCons(_u18277), _u18281), c_List_Olist_ONil(_u18277))) = _u18283) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18288))) | ( hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18287) = hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem456(_u18288, _u18287, _u18286, _u18285)), _u18285)) )).
% 12.21/12.42 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18288))) | ( hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18287) = hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18288)) | ( hAPP(hAPP(c_List_Onth(_u18286), _u18287), skolem456(_u18288, _u18287, _u18286, _u18285)) != hAPP(hAPP(c_List_Onth(_u18286), _u18288), skolem456(_u18288, _u18287, _u18286, _u18285))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18289))), c_List_Otranspose(_u18289, _u18290)) = c_List_Ofoldr(tc_List_Olist(_u18289), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18289)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18289))), _u18290, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u18291, c_List_Olist_ONil(tc_List_Olist(_u18291))) = c_List_Olist_ONil(tc_List_Olist(_u18291))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u18292, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18292)), c_List_Olist_ONil(_u18292)), _u18293)) = c_List_Otranspose(_u18292, _u18293)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u18294, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18295), tc_List_Olist(_u18294)), hAPP(c_List_Omap(_u18295, _u18294), _u18296)), _u18297)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18295), tc_List_Olist(_u18294)), hAPP(c_List_Omap(_u18295, _u18294), _u18296)), c_List_Otranspose(_u18295, _u18297))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u18302, _u18304) != c_List_Olist_ONil(tc_List_Olist(_u18302))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18302)), _u18298), hAPP(c_List_Oset(tc_List_Olist(_u18302)), _u18304))) | ( _u18298 = c_List_Olist_ONil(_u18302)) )).
% 12.21/12.42 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u18303, _u18305) = c_List_Olist_ONil(tc_List_Olist(_u18303))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18303)), skolem457(_u18305, _u18303)), hAPP(c_List_Oset(tc_List_Olist(_u18303)), _u18305))) )).
% 12.21/12.42 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u18303, _u18305) = c_List_Olist_ONil(tc_List_Olist(_u18303))) | ( skolem457(_u18305, _u18303) != c_List_Olist_ONil(_u18303)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18306)), c_List_Otranspose__rel(_u18306)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18306)), c_List_Olist_ONil(_u18306)), _u18307))) | ( c_List_Otranspose(_u18306, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18306)), c_List_Olist_ONil(_u18306)), _u18307)) = c_List_Otranspose(_u18306, _u18307)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u18308), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18308)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18308))), c_List_Otranspose(_u18308, _u18309), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18308))), hAPP(c_List_Ofilter(tc_List_Olist(_u18308), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18308)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18308), tc_List_Olist(_u18308), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18308)))), _u18309))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u18310, _u18311), hAPP(hAPP(c_List_Oappend(_u18310), _u18312), _u18313)) = hAPP(hAPP(c_List_Oappend(_u18310), hAPP(c_List_Ofilter(_u18310, _u18311), _u18312)), hAPP(c_List_Ofilter(_u18310, _u18311), _u18313))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18314)), hAPP(c_List_Ofilter(_u18314, _u18315), hAPP(hAPP(c_List_Omap(_u18316, _u18314), _u18317), _u18318))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18316)), hAPP(c_List_Ofilter(_u18316, hAPP(c_Fun_Ocomp(_u18314, tc_HOL_Obool, _u18316, _u18315), _u18317)), _u18318))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u18319, _u18320), hAPP(hAPP(c_List_Omap(_u18321, _u18319), _u18322), _u18323)) = hAPP(hAPP(c_List_Omap(_u18321, _u18319), _u18322), hAPP(c_List_Ofilter(_u18321, hAPP(c_Fun_Ocomp(_u18319, tc_HOL_Obool, _u18321, _u18320), _u18322)), _u18323))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u18329, _u18331), _u18333) != c_List_Olist_ONil(_u18329)) | ~hBOOL(hAPP(hAPP(c_member(_u18329), _u18324), hAPP(c_List_Oset(_u18329), _u18333))) | ~hBOOL(hAPP(_u18331, _u18324)) )).
% 12.21/12.42 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u18330, _u18332), _u18334) = c_List_Olist_ONil(_u18330)) | hBOOL(hAPP(hAPP(c_member(_u18330), skolem458(_u18334, _u18332, _u18330)), hAPP(c_List_Oset(_u18330), _u18334))) )).
% 12.21/12.42 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u18330, _u18332), _u18334) = c_List_Olist_ONil(_u18330)) | hBOOL(hAPP(_u18332, skolem458(_u18334, _u18332, _u18330))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u18335, _u18336), c_List_Olist_ONil(_u18335)) = c_List_Olist_ONil(_u18335)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18337, tc_HOL_Obool)), hAPP(c_List_Oset(_u18337), hAPP(c_List_Ofilter(_u18337, _u18338), _u18339))), hAPP(c_List_Oset(_u18337), _u18339))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 12.21/12.42 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(_u18340)), hAPP(c_List_Ofilter(_u18340, _u18341), _u18342))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18340)), hAPP(c_List_Ofilter(_u18340, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18340), c_fNot), _u18341)), _u18342))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18340)), _u18342)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 12.21/12.42 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(_u18343)), hAPP(c_List_Ofilter(_u18343, _u18344), _u18345))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18343)), _u18345))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18346), _u18347)) | hBOOL(hAPP(c_List_Odistinct(_u18346), hAPP(c_List_Ofilter(_u18346, _u18348), _u18347))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u18349, _u18350), hAPP(c_List_Ofilter(_u18349, _u18351), _u18352)) = hAPP(c_List_Ofilter(_u18349, hAPP(hAPP(c_COMBS(_u18349, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18349), c_fconj), _u18351)), _u18350)), _u18352)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u18358, _u18360), _u18362) != _u18362) | ~hBOOL(hAPP(hAPP(c_member(_u18358), _u18353), hAPP(c_List_Oset(_u18358), _u18362))) | hBOOL(hAPP(_u18360, _u18353)) )).
% 12.21/12.42 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u18359, _u18361), _u18363) = _u18363) | hBOOL(hAPP(hAPP(c_member(_u18359), skolem459(_u18363, _u18361, _u18359)), hAPP(c_List_Oset(_u18359), _u18363))) )).
% 12.21/12.42 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u18359, _u18361), _u18363) = _u18363) | ~hBOOL(hAPP(_u18361, skolem459(_u18363, _u18361, _u18359))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18368, _u18370)) | ( hAPP(c_List_Ofilter(_u18372, _u18368), hAPP(hAPP(c_List_Olist_OCons(_u18372), _u18370), _u18374)) = hAPP(hAPP(c_List_Olist_OCons(_u18372), _u18370), hAPP(c_List_Ofilter(_u18372, _u18368), _u18374))) )).
% 12.21/12.42 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18369, _u18371)) | ( hAPP(c_List_Ofilter(_u18373, _u18369), hAPP(hAPP(c_List_Olist_OCons(_u18373), _u18371), _u18375)) = hAPP(c_List_Ofilter(_u18373, _u18369), _u18375)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u18376), hAPP(c_List_Ofilter(_u18376, _u18377), _u18378)) = hAPP(c_Set_OCollect(_u18376), hAPP(hAPP(c_COMBS(_u18376, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18376), c_fconj), hAPP(hAPP(c_COMBC(_u18376, tc_fun(_u18376, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18376)), hAPP(c_List_Oset(_u18376), _u18378)))), _u18377))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18379), _u18380), hAPP(c_List_Oset(_u18379), _u18381))) | hBOOL(hAPP(_u18382, _u18380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), hAPP(c_List_Ofilter(_u18379, _u18382), _u18381))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), _u18381))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18383, tc_HOL_Obool)), hAPP(c_List_Oset(_u18383), _u18384)), hAPP(hAPP(c_Set_Oinsert(_u18383), _u18385), c_Orderings_Obot__class_Obot(tc_fun(_u18383, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18383), hAPP(c_List_Ofilter(_u18383, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18383), c_fNot), hAPP(hAPP(c_COMBC(_u18383, _u18383, tc_HOL_Obool), c_fequal), _u18385))), _u18384))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18386), _u18387)) | ( hAPP(c_List_Ofilter(_u18386, hAPP(hAPP(c_COMBC(_u18386, tc_fun(_u18386, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18386)), hAPP(c_List_Oset(_u18386), c_List_Osublist(_u18386, _u18387, _u18388)))), _u18387) = c_List_Osublist(_u18386, _u18387, _u18388)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18389)), hAPP(c_List_Ofilter(_u18389, _u18390), _u18391)) = 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(_u18389)), _u18391)))), hAPP(hAPP(c_COMBB(_u18389, tc_HOL_Obool, tc_Nat_Onat), _u18390), hAPP(c_List_Onth(_u18389), _u18391)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18393))), c_List_Otranspose(_u18393, _u18394)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18393)), c_List_Otranspose(_u18393, _u18394)), _u18392) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18393), _u18393), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18393), tc_Nat_Onat, _u18393), c_List_Onth(_u18393)), _u18392)), hAPP(c_List_Ofilter(tc_List_Olist(_u18393), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18393)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18392)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18393)))), _u18394))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 12.21/12.42 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(_u18395)), _u18396))), c_List_Ofoldr(tc_List_Olist(_u18397), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18397)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397))), _u18398, 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(_u18395)), _u18396)), c_List_Ofoldr(tc_List_Olist(_u18397), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18397)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18397), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18397)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18397), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18397)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18397), tc_List_Olist(_u18397), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18397)))), _u18398), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18399)), c_List_Otranspose__rel(_u18399)), c_List_Olist_ONil(tc_List_Olist(_u18399)))) | ( c_List_Otranspose(_u18399, c_List_Olist_ONil(tc_List_Olist(_u18399))) = c_List_Olist_ONil(tc_List_Olist(_u18399))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__filter__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__filter__def-1, axiom, ( ( c_List_Omap__filter(_u18400, _u18401, _u18402, _u18403) = hAPP(hAPP(c_List_Omap(_u18400, _u18401), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u18401), _u18401, _u18400, c_Option_Othe(_u18401)), _u18402)), hAPP(c_List_Ofilter(_u18400, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18400), c_fNot), hAPP(hAPP(c_COMBC(_u18400, tc_Option_Ooption(_u18401), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u18401), tc_fun(tc_Option_Ooption(_u18401), tc_HOL_Obool), _u18400), c_fequal), _u18402)), c_Option_Ooption_ONone(_u18401)))), _u18403))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u18404, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18404), tc_List_Olist(_u18404)), c_List_Olist_Olist__case(tc_List_Olist(_u18404), _u18404, c_List_Olist_ONil(_u18404), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18404), tc_fun(tc_List_Olist(_u18404), tc_List_Olist(_u18404)), _u18404), c_COMBK(tc_List_Olist(_u18404), tc_List_Olist(_u18404))), hAPP(hAPP(c_COMBC(_u18404, tc_List_Olist(_u18404), tc_List_Olist(_u18404)), c_List_Olist_OCons(_u18404)), c_List_Olist_ONil(_u18404))))), _u18405)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18404), _u18404), c_List_Ohd(_u18404)), hAPP(c_List_Ofilter(tc_List_Olist(_u18404), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18404)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18404), tc_List_Olist(_u18404), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18404)))), _u18405))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18406, _u18407), _u18408), c_List_Oconcat(_u18406, _u18409)) = c_List_Oconcat(_u18407, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18406), tc_List_Olist(_u18407)), hAPP(c_List_Omap(_u18406, _u18407), _u18408)), _u18409))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u18410), tc_List_Olist(_u18410), c_List_Oappend(_u18410), _u18411), _u18412) = hAPP(hAPP(c_List_Oappend(_u18410), _u18411), c_List_Oconcat(_u18410, _u18412))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u18413, _u18414) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18413), tc_List_Olist(_u18413), c_List_Oappend(_u18413), c_List_Olist_ONil(_u18413)), _u18414)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__filter__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__filter__simps_I2_J-1, axiom, ( ( c_List_Omap__filter(_u18415, _u18416, _u18417, c_List_Olist_ONil(_u18415)) = c_List_Olist_ONil(_u18416)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u18418, c_List_Olist_ONil(tc_List_Olist(_u18418))) = c_List_Olist_ONil(_u18418)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u18419, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18419)), _u18420), _u18421)) = hAPP(hAPP(c_List_Oappend(_u18419), _u18420), c_List_Oconcat(_u18419, _u18421))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u18426, _u18428) != c_List_Olist_ONil(_u18426)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18426)), _u18422), hAPP(c_List_Oset(tc_List_Olist(_u18426)), _u18428))) | ( _u18422 = c_List_Olist_ONil(_u18426)) )).
% 12.21/12.42 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u18427, _u18429) = c_List_Olist_ONil(_u18427)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18427)), skolem460(_u18429, _u18427)), hAPP(c_List_Oset(tc_List_Olist(_u18427)), _u18429))) )).
% 12.21/12.42 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u18427, _u18429) = c_List_Olist_ONil(_u18427)) | ( skolem460(_u18429, _u18427) != c_List_Olist_ONil(_u18427)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u18434) != c_List_Oconcat(_u18434, _u18436)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), _u18430), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18436))) | ( _u18430 = c_List_Olist_ONil(_u18434)) )).
% 12.21/12.42 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u18435) = c_List_Oconcat(_u18435, _u18437)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18435)), skolem461(_u18437, _u18435)), hAPP(c_List_Oset(tc_List_Olist(_u18435)), _u18437))) )).
% 12.21/12.42 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u18435) = c_List_Oconcat(_u18435, _u18437)) | ( skolem461(_u18437, _u18435) != c_List_Olist_ONil(_u18435)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u18438, _u18439), c_List_Oconcat(_u18438, _u18440)) = c_List_Oconcat(_u18438, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18438), tc_List_Olist(_u18438)), c_List_Ofilter(_u18438, _u18439)), _u18440))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18441)), c_List_Oconcat(_u18441, _u18442)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18441), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18441))), _u18442))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__of__filter__in ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__of__filter__in-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u18443, _u18444), _u18445), _u18446) != hAPP(c_Option_Ooption_OSome(_u18444), _u18447)) | ~hBOOL(hAPP(hAPP(_u18448, _u18446), _u18447)) | ( hAPP(hAPP(c_Map_Omap__of(_u18443, _u18444), hAPP(c_List_Ofilter(tc_prod(_u18443, _u18444), hAPP(c_Product__Type_Oprod_Oprod__case(_u18443, _u18444, tc_HOL_Obool), _u18448)), _u18445)), _u18446) = hAPP(c_Option_Ooption_OSome(_u18444), _u18447)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__filter__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__filter__simps_I1_J-1, axiom, ( ( c_List_Omap__filter(_u18449, _u18450, _u18451, hAPP(hAPP(c_List_Olist_OCons(_u18449), _u18452), _u18453)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u18450), _u18450, c_List_Omap__filter(_u18449, _u18450, _u18451, _u18453), hAPP(hAPP(c_COMBC(_u18450, tc_List_Olist(_u18450), tc_List_Olist(_u18450)), c_List_Olist_OCons(_u18450)), c_List_Omap__filter(_u18449, _u18450, _u18451, _u18453))), hAPP(_u18451, _u18452))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u18454), c_List_Oconcat(_u18454, _u18455)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18454), tc_fun(_u18454, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18454)), _u18455)), c_List_Oset(_u18454))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u18456, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u18456)), _u18457), _u18458)) = hAPP(hAPP(c_List_Oappend(_u18456), c_List_Oconcat(_u18456, _u18457)), c_List_Oconcat(_u18456, _u18458))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18459, tc_Nat_Onat), _u18459), c_Product__Type_Ofst(_u18459, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18459, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18459, tc_Nat_Onat)), _u18460), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18459, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18459, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18459, tc_Nat_Onat), _u18461), _u18462))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18459, tc_Nat_Onat), _u18459), c_Product__Type_Ofst(_u18459, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18459, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18459, tc_Nat_Onat)), _u18460), c_Product__Type_Osnd(_u18459, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18459, tc_Nat_Onat), _u18461), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18462))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u18463, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18463), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18463, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18463, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18463)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18464)) = c_Random_Opick(_u18463, _u18464)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18465, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18465), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18465, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18465, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18465)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18466)) = c_Random_Oselect__weight(_u18465, _u18466)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u18467, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18467)), hAPP(hAPP(c_List_Olist_OCons(_u18467), _u18468), _u18469)), _u18470)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18467)), hAPP(hAPP(c_List_Olist_OCons(_u18467), _u18468), c_List_Oconcat(_u18467, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18467), tc_List_Olist(_u18467)), c_List_Olist_Olist__case(tc_List_Olist(_u18467), _u18467, c_List_Olist_ONil(_u18467), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18467), tc_fun(tc_List_Olist(_u18467), tc_List_Olist(_u18467)), _u18467), c_COMBK(tc_List_Olist(_u18467), tc_List_Olist(_u18467))), hAPP(hAPP(c_COMBC(_u18467, tc_List_Olist(_u18467), tc_List_Olist(_u18467)), c_List_Olist_OCons(_u18467)), c_List_Olist_ONil(_u18467))))), _u18470)))), c_List_Otranspose(_u18467, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18467)), _u18469), c_List_Oconcat(tc_List_Olist(_u18467), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18467), tc_List_Olist(tc_List_Olist(_u18467))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18467)), _u18467, c_List_Olist_ONil(tc_List_Olist(_u18467)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18467), tc_List_Olist(tc_List_Olist(_u18467))), _u18467), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18467), tc_List_Olist(tc_List_Olist(_u18467)), tc_List_Olist(tc_List_Olist(_u18467))), c_List_Olist_OCons(tc_List_Olist(_u18467))), c_List_Olist_ONil(tc_List_Olist(_u18467)))))), _u18470)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u18472, _u18473) != c_List_Oconcat(_u18472, _u18474)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18473) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18474)) | ( _u18473 = _u18474) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18472), tc_List_Olist(_u18472))), skolem462(_u18474, _u18473, _u18472)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18472), tc_List_Olist(_u18472))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18472), tc_List_Olist(_u18472)), _u18473), _u18474)))) )).
% 12.21/12.42 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u18472, _u18473) != c_List_Oconcat(_u18472, _u18474)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18473) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18474)) | ( _u18473 = _u18474) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18472), tc_List_Olist(_u18472), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18472), tc_fun(tc_List_Olist(_u18472), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18472), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18472), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18472), tc_HOL_Obool)), tc_List_Olist(_u18472)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18472))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18472)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18472))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18472)))), skolem462(_u18474, _u18473, _u18472))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), skolem463(_u18478, _u18477, _u18476)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18476), tc_List_Olist(_u18476)), _u18477), _u18478)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( c_List_Oconcat(_u18476, _u18477) != c_List_Oconcat(_u18476, _u18478)) | ( _u18477 = _u18478) )).
% 12.21/12.42 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), skolem463(_u18478, _u18477, _u18476)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18476), tc_List_Olist(_u18476)), _u18477), _u18478)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( _u18477 != _u18478) | ( c_List_Oconcat(_u18476, _u18477) = c_List_Oconcat(_u18476, _u18478)) )).
% 12.21/12.42 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18476), tc_List_Olist(_u18476), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18476), tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), tc_List_Olist(_u18476)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18476))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18476)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476)))), skolem463(_u18478, _u18477, _u18476))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( c_List_Oconcat(_u18476, _u18477) != c_List_Oconcat(_u18476, _u18478)) | ( _u18477 = _u18478) )).
% 12.21/12.42 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18476), tc_List_Olist(_u18476), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18476), tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), tc_List_Olist(_u18476)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18476))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18476)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476)))), skolem463(_u18478, _u18477, _u18476))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( _u18477 != _u18478) | ( c_List_Oconcat(_u18476, _u18477) = c_List_Oconcat(_u18476, _u18478)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u18479, hAPP(hAPP(c_List_Omap(_u18480, tc_List_Olist(_u18479)), hAPP(hAPP(c_COMBC(_u18480, tc_List_Olist(_u18479), tc_List_Olist(_u18479)), hAPP(hAPP(c_COMBB(_u18479, tc_fun(tc_List_Olist(_u18479), tc_List_Olist(_u18479)), _u18480), c_List_Olist_OCons(_u18479)), _u18481)), c_List_Olist_ONil(_u18479))), _u18482)) = hAPP(hAPP(c_List_Omap(_u18480, _u18479), _u18481), _u18482)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u18483, hAPP(c_Nat_OSuc, _u18484), _u18485) = c_List_Oconcat(tc_List_Olist(_u18483), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18483), tc_List_Olist(tc_List_Olist(_u18483))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18483), tc_List_Olist(_u18483), tc_List_Olist(tc_List_Olist(_u18483))), hAPP(hAPP(c_COMBB(tc_fun(_u18483, tc_List_Olist(_u18483)), tc_fun(tc_List_Olist(_u18483), tc_List_Olist(tc_List_Olist(_u18483))), tc_List_Olist(_u18483)), c_List_Omap(_u18483, tc_List_Olist(_u18483))), hAPP(c_COMBC(_u18483, tc_List_Olist(_u18483), tc_List_Olist(_u18483)), c_List_Olist_OCons(_u18483)))), _u18485)), c_Enum_On__lists(_u18483, _u18484, _u18485)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18486)), c_List_Otranspose__rel(_u18486)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), hAPP(hAPP(c_List_Olist_OCons(_u18486), _u18487), _u18488)), _u18489))) | ( c_List_Otranspose(_u18486, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), hAPP(hAPP(c_List_Olist_OCons(_u18486), _u18487), _u18488)), _u18489)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), hAPP(hAPP(c_List_Olist_OCons(_u18486), _u18487), c_List_Oconcat(_u18486, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), c_List_Olist_Olist__case(tc_List_Olist(_u18486), _u18486, c_List_Olist_ONil(_u18486), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18486), tc_fun(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18486), c_COMBK(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_COMBC(_u18486, tc_List_Olist(_u18486), tc_List_Olist(_u18486)), c_List_Olist_OCons(_u18486)), c_List_Olist_ONil(_u18486))))), _u18489)))), c_List_Otranspose(_u18486, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), _u18488), c_List_Oconcat(tc_List_Olist(_u18486), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18486), tc_List_Olist(tc_List_Olist(_u18486))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18486)), _u18486, c_List_Olist_ONil(tc_List_Olist(_u18486)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18486), tc_List_Olist(tc_List_Olist(_u18486))), _u18486), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18486), tc_List_Olist(tc_List_Olist(_u18486)), tc_List_Olist(tc_List_Olist(_u18486))), c_List_Olist_OCons(tc_List_Olist(_u18486))), c_List_Olist_ONil(tc_List_Olist(_u18486)))))), _u18489)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u18490), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18490), tc_List_Olist(tc_List_Olist(_u18490))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18490)), _u18490, c_List_Olist_ONil(tc_List_Olist(_u18490)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18490), tc_List_Olist(tc_List_Olist(_u18490))), _u18490), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18490), tc_List_Olist(tc_List_Olist(_u18490)), tc_List_Olist(tc_List_Olist(_u18490))), c_List_Olist_OCons(tc_List_Olist(_u18490))), c_List_Olist_ONil(tc_List_Olist(_u18490)))))), _u18491)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18490), tc_List_Olist(_u18490)), c_List_Otl(_u18490)), hAPP(c_List_Ofilter(tc_List_Olist(_u18490), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18490)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18490), tc_List_Olist(_u18490), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18490)))), _u18491))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__filter__map__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__filter__map__filter-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18492, _u18493), _u18494), hAPP(c_List_Ofilter(_u18492, _u18495), _u18496)) = c_List_Omap__filter(_u18492, _u18493, hAPP(hAPP(c_COMBC(_u18492, tc_Option_Ooption(_u18493), tc_Option_Ooption(_u18493)), hAPP(hAPP(c_COMBS(_u18492, tc_Option_Ooption(_u18493), tc_fun(tc_Option_Ooption(_u18493), tc_Option_Ooption(_u18493))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u18493), tc_fun(tc_Option_Ooption(_u18493), tc_Option_Ooption(_u18493))), _u18492), c_If(tc_Option_Ooption(_u18493))), _u18495)), hAPP(hAPP(c_COMBB(_u18493, tc_Option_Ooption(_u18493), _u18492), c_Option_Ooption_OSome(_u18493)), _u18494))), c_Option_Ooption_ONone(_u18493)), _u18496)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u18497, _u18498, _u18499) = hAPP(hAPP(c_List_Omap(tc_prod(_u18497, tc_Nat_Onat), _u18497), c_Product__Type_Ofst(_u18497, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18497, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18497, 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(_u18497, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18497, tc_Nat_Onat))), _u18499)), hAPP(hAPP(c_List_Ozip(_u18497, tc_Nat_Onat), _u18498), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18497)), _u18498)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18500, tc_Nat_Onat), _u18500), c_Product__Type_Ofst(_u18500, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18500, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18500, 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(_u18500, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18500, tc_Nat_Onat))), _u18501)), hAPP(hAPP(c_List_Ozip(_u18500, tc_Nat_Onat), _u18502), c_List_Oupt(_u18503, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18503), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18500)), _u18502)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18500, tc_Nat_Onat), _u18500), c_Product__Type_Ofst(_u18500, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18500, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18500, 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(_u18500, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18500, 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(_u18500, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18500, tc_Nat_Onat))), _u18503))), _u18501)), hAPP(hAPP(c_List_Ozip(_u18500, tc_Nat_Onat), _u18502), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18500)), _u18502)))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18504, _u18505)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18504), hAPP(c_Nat_OSuc, _u18505))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18506), c_List_Oupt(_u18507, _u18508)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18507), _u18506), _u18508)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), _u18510)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18509, _u18510)) = _u18509) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18513), _u18515)) | ( c_List_Oupt(_u18513, hAPP(c_Nat_OSuc, _u18515)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18513, _u18515)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18515), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.21/12.42 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), _u18516)) | ( c_List_Oupt(_u18514, hAPP(c_Nat_OSuc, _u18516)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18517), _u18518)) | ( c_List_Oupt(_u18517, hAPP(c_Nat_OSuc, _u18518)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18517, _u18518)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18518), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18519), _u18520)) | ( c_List_Oupt(_u18519, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18520), _u18521)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18519, _u18520)), c_List_Oupt(_u18520, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18520), _u18521)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u18522, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18523), _u18524)) | ( c_List_Oupt(_u18524, _u18523) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u18527, _u18529) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18529), _u18527)) )).
% 12.21/12.42 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u18528, _u18530) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u18528, _u18530) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18530), _u18528)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18531, _u18532)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18531), _u18532)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18533), _u18534) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18533, _u18534))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18535, _u18536))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 12.21/12.42 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), _u18537), _u18538)), _u18539)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18538), c_List_Oupt(_u18537, _u18539)) = c_List_Oupt(_u18537, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18537), _u18538))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18540), _u18541)) | ( c_List_Oupt(_u18540, _u18541) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18540), c_List_Oupt(hAPP(c_Nat_OSuc, _u18540), _u18541))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18544), _u18546)) | ( c_List_Oupt(_u18544, _u18546) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18544), c_List_Oupt(hAPP(c_Nat_OSuc, _u18544), _u18546))) )).
% 12.21/12.42 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18545), _u18547)) | ( c_List_Oupt(_u18545, _u18547) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18548, _u18549)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18549), _u18548)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 12.21/12.42 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), _u18552)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18554))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18554)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18554)))) )).
% 12.21/12.42 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), _u18553)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18555))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18553), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18555)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u18560, _u18562) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18564), _u18566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18560), _u18562)) )).
% 12.21/12.42 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u18560, _u18562) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18564), _u18566)) | ( _u18560 = _u18564) )).
% 12.21/12.42 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u18560, _u18562) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18564), _u18566)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18560), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18562) = _u18566) )).
% 12.21/12.42 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18561), _u18563)) | ( _u18561 != _u18565) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18561), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18563) != _u18567) | ( c_List_Oupt(_u18561, _u18563) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18565), _u18567)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18568), _u18569)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18568, _u18569)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18569), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18570), hAPP(c_List_Onth(_u18570), _u18571)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18570)), _u18571))) = _u18571) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18572, _u18573) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18572, hAPP(c_Nat_OSuc, _u18573)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18574) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18574))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18575) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18575), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18575), _u18576), c_List_Oupt(_u18577, _u18578))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18575), _u18576), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18577, _u18578)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18579) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18579), _u18580), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18581, _u18582))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18579), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18579), _u18580), c_List_Oupt(_u18581, _u18582)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 12.21/12.42 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), _u18583), _u18584)), _u18585)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18583, _u18585)), _u18584) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18583), _u18584)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18586, _u18587) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18586), hAPP(c_Nat_OSuc, _u18587)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18588, _u18589) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18588), _u18589))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18591), _u18592))) | ( hAPP(hAPP(c_List_Onth(_u18593), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18593), _u18594), c_List_Oupt(_u18592, _u18591))), _u18590) = hAPP(_u18594, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18592), _u18590))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18595) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18595)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transpose__rectangle-1, axiom, ( ( _u18597 = c_List_Olist_ONil(tc_List_Olist(_u18598))) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18599, _u18598, _u18597)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597))) )).
% 12.21/12.42 cnf(fact_transpose__rectangle-2, axiom, ( ( _u18597 = c_List_Olist_ONil(tc_List_Olist(_u18598))) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597), skolem464(_u18599, _u18598, _u18597))) != _u18599) )).
% 12.21/12.42 cnf(fact_transpose__rectangle-3, axiom, ( ( _u18599 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18599, _u18598, _u18597)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597))) )).
% 12.21/12.42 cnf(fact_transpose__rectangle-4, axiom, ( ( _u18599 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597), skolem464(_u18599, _u18598, _u18597))) != _u18599) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18600)), c_List_Oremdups(_u18600, c_List_Oconcat(_u18600, _u18601))) = hAPP(c_Finite__Set_Ocard(_u18600), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18600), tc_fun(_u18600, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18600)), _u18601)), c_List_Oset(_u18600)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18602), c_List_Oremdups(_u18602, _u18603))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__remdups__leq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18604)), c_List_Oremdups(_u18604, _u18605))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18604)), _u18605))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u18606, hAPP(c_List_Ofilter(_u18606, _u18607), _u18608)) = hAPP(c_List_Ofilter(_u18606, _u18607), c_List_Oremdups(_u18606, _u18608))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u18609, hAPP(hAPP(c_List_Omap(_u18610, _u18609), _u18611), c_List_Oremdups(_u18610, _u18612))) = c_List_Oremdups(_u18609, hAPP(hAPP(c_List_Omap(_u18610, _u18609), _u18611), _u18612))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u18613), c_List_Oremdups(_u18613, _u18614)) = hAPP(c_List_Oset(_u18613), _u18614)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u18615, c_List_Oremdups(_u18615, _u18616)) = c_List_Oremdups(_u18615, _u18616)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18617), _u18618)) | ( c_List_Oremdups(_u18617, _u18618) = _u18618) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u18621, _u18623) != _u18623) | hBOOL(hAPP(c_List_Odistinct(_u18621), _u18623)) )).
% 12.21/12.42 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18622), _u18624)) | ( c_List_Oremdups(_u18622, _u18624) = _u18624) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18627)), c_List_Oremdups(_u18627, _u18629)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18627)), _u18629)) | ( c_List_Oremdups(_u18627, _u18629) = _u18629) )).
% 12.21/12.42 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u18628, _u18630) != _u18630) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18628)), c_List_Oremdups(_u18628, _u18630)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18628)), _u18630)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u18631, c_List_Olist_ONil(_u18631)) = c_List_Olist_ONil(_u18631)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u18634) != c_List_Oremdups(_u18634, _u18636)) | ( _u18636 = c_List_Olist_ONil(_u18634)) )).
% 12.21/12.42 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u18637 != c_List_Olist_ONil(_u18635)) | ( c_List_Olist_ONil(_u18635) = c_List_Oremdups(_u18635, _u18637)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u18640, _u18642) != c_List_Olist_ONil(_u18640)) | ( _u18642 = c_List_Olist_ONil(_u18640)) )).
% 12.21/12.42 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u18643 != c_List_Olist_ONil(_u18641)) | ( c_List_Oremdups(_u18641, _u18643) = c_List_Olist_ONil(_u18641)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18647), _u18649), hAPP(c_List_Oset(_u18647), _u18651))) | ( c_List_Oremdups(_u18647, hAPP(hAPP(c_List_Olist_OCons(_u18647), _u18649), _u18651)) = c_List_Oremdups(_u18647, _u18651)) )).
% 12.21/12.42 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18648), _u18650), hAPP(c_List_Oset(_u18648), _u18652))) | ( c_List_Oremdups(_u18648, hAPP(hAPP(c_List_Olist_OCons(_u18648), _u18650), _u18652)) = hAPP(hAPP(c_List_Olist_OCons(_u18648), _u18650), c_List_Oremdups(_u18648, _u18652))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18653)), c_List_Oremdups(_u18653, _u18654)) = hAPP(c_Finite__Set_Ocard(_u18653), hAPP(c_List_Oset(_u18653), _u18654))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u18655, _u18656, _u18657) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u18655, _u18656, _u18657), _u18658), hAPP(c_List_Oset(_u18655), _u18659)) = hAPP(c_List_Ofoldl(_u18656, _u18655, hAPP(c_COMBC(_u18655, _u18656, _u18656), _u18657), _u18658), c_List_Oremdups(_u18655, _u18659))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transfer__nat__int__list__functions_I2_J-1, axiom, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18661) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), hAPP(c_List_Ofilter(_u18662, _u18664), _u18663))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), _u18663))) | hBOOL(hAPP(hAPP(c_member(_u18662), skolem465(_u18665, _u18664, _u18663, _u18662, _u18661)), hAPP(c_List_Oset(_u18662), _u18663))) )).
% 12.21/12.42 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18661) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), hAPP(c_List_Ofilter(_u18662, _u18664), _u18663))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), _u18663))) | ~hBOOL(hAPP(_u18664, skolem465(_u18665, _u18664, _u18663, _u18662, _u18661))) )).
% 12.21/12.42 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18661) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), hAPP(c_List_Ofilter(_u18662, _u18664), _u18663))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), _u18663))) | ( hAPP(_u18665, skolem465(_u18665, _u18664, _u18663, _u18662, _u18661)) != c_Groups_Ozero__class_Ozero(_u18661)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u18666) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18666)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u18667) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18667)) = _u18667) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18668), _u18669) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18668)), c_List_Oembed__list(_u18669)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18670) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18670)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18671) | ~hBOOL(hAPP(hAPP(c_member(_u18672), _u18673), hAPP(c_List_Oset(_u18672), _u18674))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18671), hAPP(hAPP(c_List_Omap(_u18672, _u18671), _u18675), _u18674)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18671), hAPP(_u18675, _u18673)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18671), hAPP(hAPP(c_List_Omap(_u18672, _u18671), _u18675), c_List_Oremove1(_u18672, _u18673, _u18674))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18676), _u18677)) | ( hAPP(c_List_Oset(_u18676), c_List_Oremove1(_u18676, _u18678, _u18677)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18676, tc_HOL_Obool)), hAPP(c_List_Oset(_u18676), _u18677)), hAPP(hAPP(c_Set_Oinsert(_u18676), _u18678), c_Orderings_Obot__class_Obot(tc_fun(_u18676, tc_HOL_Obool))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u18683 != _u18685) | ( c_List_Oremove1(_u18687, _u18683, hAPP(hAPP(c_List_Olist_OCons(_u18687), _u18685), _u18689)) = _u18689) )).
% 12.21/12.42 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u18684 = _u18686) | ( c_List_Oremove1(_u18688, _u18684, hAPP(hAPP(c_List_Olist_OCons(_u18688), _u18686), _u18690)) = hAPP(hAPP(c_List_Olist_OCons(_u18688), _u18686), c_List_Oremove1(_u18688, _u18684, _u18690))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18691), _u18692)) | ( c_List_Oremove1(_u18691, _u18693, c_List_Oremdups(_u18691, _u18692)) = c_List_Oremdups(_u18691, c_List_Oremove1(_u18691, _u18693, _u18692))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18694), _u18695)) | hBOOL(hAPP(c_List_Odistinct(_u18694), c_List_Oremove1(_u18694, _u18696, _u18695))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u18697, _u18698, c_List_Olist_ONil(_u18697)) = c_List_Olist_ONil(_u18697)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u18699, _u18700, c_List_Oremove1(_u18699, _u18701, _u18702)) = c_List_Oremove1(_u18699, _u18701, c_List_Oremove1(_u18699, _u18700, _u18702))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18703), _u18704), hAPP(c_List_Oset(_u18703), _u18705))) | ( c_List_Oremove1(_u18703, _u18704, _u18705) = _u18705) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18706), _u18707), hAPP(c_List_Oset(_u18706), _u18708))) | ~hBOOL(hAPP(hAPP(c_member(_u18706), _u18707), hAPP(c_List_Oset(_u18706), c_List_Oremove1(_u18706, _u18709, _u18708)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__set__remove1-1, axiom, ( ( _u18710 = _u18711) | ~hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), c_List_Oremove1(_u18712, _u18711, _u18713)))) | hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), _u18713))) )).
% 12.21/12.42 cnf(fact_in__set__remove1-2, axiom, ( ( _u18710 = _u18711) | ~hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), _u18713))) | hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), c_List_Oremove1(_u18712, _u18711, _u18713)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18714, tc_HOL_Obool)), hAPP(c_List_Oset(_u18714), c_List_Oremove1(_u18714, _u18715, _u18716))), hAPP(c_List_Oset(_u18714), _u18716))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u18717, _u18718)) | ( c_List_Oremove1(_u18719, _u18718, hAPP(c_List_Ofilter(_u18719, _u18717), _u18720)) = hAPP(c_List_Ofilter(_u18719, _u18717), _u18720)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u18721, _u18722), c_List_Oremove1(_u18721, _u18723, _u18724)) = c_List_Oremove1(_u18721, _u18723, hAPP(c_List_Ofilter(_u18721, _u18722), _u18724))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18729), _u18731), hAPP(c_List_Oset(_u18729), _u18733))) | ( c_List_Oremove1(_u18729, _u18731, hAPP(hAPP(c_List_Oappend(_u18729), _u18733), _u18735)) = hAPP(hAPP(c_List_Oappend(_u18729), c_List_Oremove1(_u18729, _u18731, _u18733)), _u18735)) )).
% 12.21/12.42 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18730), _u18732), hAPP(c_List_Oset(_u18730), _u18734))) | ( c_List_Oremove1(_u18730, _u18732, hAPP(hAPP(c_List_Oappend(_u18730), _u18734), _u18736)) = hAPP(hAPP(c_List_Oappend(_u18730), _u18734), c_List_Oremove1(_u18730, _u18732, _u18736))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18740), _u18742), hAPP(c_List_Oset(_u18740), _u18744))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18740)), c_List_Oremove1(_u18740, _u18742, _u18744)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18740)), _u18744)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.42 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18741), _u18743), hAPP(c_List_Oset(_u18741), _u18745))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18741)), c_List_Oremove1(_u18741, _u18743, _u18745)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18741)), _u18745)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u18746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18746), _u18747)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18746, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18746, tc_HOL_Obool)), _u18747), hAPP(hAPP(c_Set_Oinsert(_u18746), _u18748), c_Orderings_Obot__class_Obot(tc_fun(_u18746, tc_HOL_Obool))))) = c_List_Oremove1(_u18746, _u18748, c_List_Olinorder__class_Osorted__list__of__set(_u18746, _u18747))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u18749, _u18750, _u18751) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18749), tc_List_Olist(_u18749)), _u18752), _u18753)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18749, tc_HOL_Obool)), hAPP(c_List_Oset(_u18749), _u18752)), hAPP(c_List_Oset(_u18749), _u18753)) = hAPP(c_List_Oset(_u18749), _u18751)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u18754), tc_List_Olist(_u18754)), c_List_Opartition(_u18754, _u18755, _u18756)) = hAPP(c_List_Ofilter(_u18754, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18754, c_fNot), _u18755)), _u18756)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u18757), tc_List_Olist(_u18757)), c_List_Opartition(_u18757, _u18758, _u18759)) = hAPP(c_List_Ofilter(_u18757, _u18758), _u18759)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u18760) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18760, c_Orderings_Obot__class_Obot(tc_fun(_u18760, tc_HOL_Obool))) = c_List_Olist_ONil(_u18760)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 12.21/12.42 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, _u18761), _u18762)) = c_List_Oupt(_u18761, _u18762)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u18765, _u18766, _u18767) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18765), tc_List_Olist(_u18765)), _u18768), _u18769)) | ~hBOOL(hAPP(hAPP(c_member(_u18765), _u18763), hAPP(c_List_Oset(_u18765), _u18768))) | hBOOL(hAPP(_u18766, _u18763)) )).
% 12.21/12.42 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u18765, _u18766, _u18767) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18765), tc_List_Olist(_u18765)), _u18768), _u18769)) | ~hBOOL(hAPP(hAPP(c_member(_u18765), _u18764), hAPP(c_List_Oset(_u18765), _u18769))) | ~hBOOL(hAPP(_u18766, _u18764)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u18770, _u18771, c_List_Olist_ONil(_u18770)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18770), tc_List_Olist(_u18770)), c_List_Olist_ONil(_u18770)), c_List_Olist_ONil(_u18770))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u18772, _u18773, _u18774) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18772), tc_List_Olist(_u18772)), hAPP(c_List_Ofilter(_u18772, _u18773), _u18774)), hAPP(c_List_Ofilter(_u18772, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18772, c_fNot), _u18773)), _u18774))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u18775, _u18776, hAPP(hAPP(c_List_Olist_OCons(_u18775), _u18777), _u18778)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18775), tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18775), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18775), tc_fun(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_fun(tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_List_Olist(_u18775)), c_COMBS(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_List_Olist(_u18775), tc_fun(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_List_Olist(_u18775)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_fun(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_List_Olist(_u18775)), hAPP(c_If(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), hAPP(_u18776, _u18777)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18775), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_List_Olist(_u18775)), c_Product__Type_OPair(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), hAPP(c_List_Olist_OCons(_u18775), _u18777))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18775), tc_fun(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_fun(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_List_Olist(_u18775)), c_COMBB(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_List_Olist(_u18775))), c_Product__Type_OPair(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(c_List_Olist_OCons(_u18775), _u18777)))), c_List_Opartition(_u18775, _u18776, _u18778))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18779) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18779), _u18780)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18779, hAPP(hAPP(c_Set_Oinsert(_u18779), _u18781), _u18780)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18779, _u18779, c_COMBI(_u18779)), _u18781), c_List_Olinorder__class_Osorted__list__of__set(_u18779, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18779, tc_HOL_Obool)), _u18780), hAPP(hAPP(c_Set_Oinsert(_u18779), _u18781), c_Orderings_Obot__class_Obot(tc_fun(_u18779, tc_HOL_Obool))))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18782) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18782, hAPP(c_List_Oset(_u18782), _u18783)) = c_List_Olinorder__class_Osort__key(_u18782, _u18782, c_COMBI(_u18782), c_List_Oremdups(_u18782, _u18783))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18784) | ( c_List_Olinorder__class_Osort__key(_u18784, _u18784, c_COMBI(_u18784), _u18785) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18784), _u18784, hAPP(c_COMBC(_u18784, tc_List_Olist(_u18784), tc_List_Olist(_u18784)), c_List_Olinorder__class_Oinsort__key(_u18784, _u18784, c_COMBI(_u18784))), c_List_Olist_ONil(_u18784)), _u18785)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18786) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18787, _u18786, _u18788), _u18789), c_List_Olist_ONil(_u18787)) = hAPP(hAPP(c_List_Olist_OCons(_u18787), _u18789), c_List_Olist_ONil(_u18787))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18790) | ( c_List_Olinorder__class_Osort__key(_u18791, _u18790, _u18792, hAPP(hAPP(c_List_Olist_OCons(_u18791), _u18793), _u18794)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18791, _u18790, _u18792), _u18793), c_List_Olinorder__class_Osort__key(_u18791, _u18790, _u18792, _u18794))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18795), hAPP(_u18796, _u18797)), hAPP(_u18796, _u18798))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18799, _u18795, _u18796), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), _u18800)) = hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), _u18800))) )).
% 12.21/12.42 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18795) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18795), hAPP(_u18796, _u18797)), hAPP(_u18796, _u18798))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18799, _u18795, _u18796), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), _u18800)) = hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18799, _u18795, _u18796), _u18797), _u18800))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18801) | ~hBOOL(hAPP(c_List_Odistinct(_u18802), c_List_Olinorder__class_Osort__key(_u18802, _u18801, _u18803, _u18804))) | hBOOL(hAPP(c_List_Odistinct(_u18802), _u18804)) )).
% 12.21/12.42 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u18801) | ~hBOOL(hAPP(c_List_Odistinct(_u18802), _u18804)) | hBOOL(hAPP(c_List_Odistinct(_u18802), c_List_Olinorder__class_Osort__key(_u18802, _u18801, _u18803, _u18804))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u18805) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18806, _u18805, _u18807), _u18808), _u18809) != c_List_Olist_ONil(_u18806)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18810) | ( c_List_Olinorder__class_Osort__key(_u18811, _u18810, _u18812, c_List_Olist_ONil(_u18811)) = c_List_Olist_ONil(_u18811)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18813) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18814)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18814, _u18813, _u18815), _u18816), _u18817)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18814)), _u18817))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18818) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18819)), c_List_Olinorder__class_Osort__key(_u18819, _u18818, _u18820, _u18821)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18819)), _u18821)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u18822) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18823), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18824), _u18825)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18824), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18823), _u18825))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u18826) | ( hAPP(_u18827, _u18828) = hAPP(_u18827, _u18829)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18829), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18828), _u18831)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18828), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18829), _u18831))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18832) | c_Finite__Set_Ofun__left__comm(_u18832, tc_List_Olist(_u18832), c_List_Olinorder__class_Oinsort__key(_u18832, _u18832, c_COMBI(_u18832))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18833) | ( hAPP(c_List_Oset(_u18834), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18834, _u18833, _u18835), _u18836), _u18837)) = hAPP(hAPP(c_Set_Oinsert(_u18834), _u18836), hAPP(c_List_Oset(_u18834), _u18837))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18838) | ( hAPP(c_List_Oset(_u18839), c_List_Olinorder__class_Osort__key(_u18839, _u18838, _u18840, _u18841)) = hAPP(c_List_Oset(_u18839), _u18841)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18842) | hBOOL(hAPP(_u18843, _u18844)) | ( hAPP(c_List_Ofilter(_u18845, _u18843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18845, _u18842, _u18846), _u18844), _u18847)) = hAPP(c_List_Ofilter(_u18845, _u18843), _u18847)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18848) | ( hAPP(c_List_Ofilter(_u18849, _u18850), c_List_Olinorder__class_Osort__key(_u18849, _u18848, _u18851, _u18852)) = c_List_Olinorder__class_Osort__key(_u18849, _u18848, _u18851, hAPP(c_List_Ofilter(_u18849, _u18850), _u18852))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18853) | ( c_List_Oremove1(_u18853, _u18854, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18853, _u18853, c_COMBI(_u18853)), _u18854), _u18855)) = _u18855) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18856) | ~hBOOL(hAPP(c_List_Odistinct(_u18857), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18857, _u18856, _u18858), _u18859), _u18860))) | ~hBOOL(hAPP(hAPP(c_member(_u18857), _u18859), hAPP(c_List_Oset(_u18857), _u18860))) )).
% 12.21/12.42 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18856) | ~hBOOL(hAPP(c_List_Odistinct(_u18857), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18857, _u18856, _u18858), _u18859), _u18860))) | hBOOL(hAPP(c_List_Odistinct(_u18857), _u18860)) )).
% 12.21/12.42 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u18856) | hBOOL(hAPP(hAPP(c_member(_u18857), _u18859), hAPP(c_List_Oset(_u18857), _u18860))) | ~hBOOL(hAPP(c_List_Odistinct(_u18857), _u18860)) | hBOOL(hAPP(c_List_Odistinct(_u18857), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18857, _u18856, _u18858), _u18859), _u18860))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18861) | ~hBOOL(hAPP(hAPP(c_member(_u18862), _u18863), hAPP(c_List_Oset(_u18862), _u18864))) | ~c_List_Olinorder__class_Osorted(_u18861, hAPP(hAPP(c_List_Omap(_u18862, _u18861), _u18865), _u18864)) | ( hAPP(c_List_Ohd(_u18862), hAPP(c_List_Ofilter(_u18862, hAPP(hAPP(c_COMBB(_u18861, tc_HOL_Obool, _u18862), hAPP(c_fequal, hAPP(_u18865, _u18863))), _u18865)), _u18864)) != _u18863) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18862, _u18861, _u18865), _u18863), c_List_Oremove1(_u18862, _u18863, _u18864)) = _u18864) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18866) | hBOOL(hAPP(hAPP(c_member(_u18866), hAPP(_u18867, _u18868)), hAPP(c_Set_Oimage(_u18869, _u18866, _u18867), hAPP(c_List_Oset(_u18869), _u18870)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18869, _u18866, _u18867, _u18868, _u18870) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18869, _u18866, _u18867), _u18868), _u18870)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u18871) | c_List_Olinorder__class_Osorted(_u18871, c_List_Olist_ONil(_u18871)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u18872) | c_List_Olinorder__class_Osorted(_u18872, hAPP(hAPP(c_List_Olist_OCons(_u18872), _u18873), c_List_Olist_ONil(_u18872))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18874) | ~c_List_Olinorder__class_Osorted(_u18874, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18874, _u18874, c_COMBI(_u18874)), _u18875), _u18876)) | c_List_Olinorder__class_Osorted(_u18874, _u18876) )).
% 12.21/12.42 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18874) | ~c_List_Olinorder__class_Osorted(_u18874, _u18876) | c_List_Olinorder__class_Osorted(_u18874, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18874, _u18874, c_COMBI(_u18874)), _u18875), _u18876)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18877) | c_List_Olinorder__class_Osorted(_u18877, c_List_Olinorder__class_Osort__key(_u18877, _u18877, c_COMBI(_u18877), _u18878)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18879) | c_List_Olinorder__class_Osorted(_u18879, hAPP(hAPP(c_List_Omap(_u18880, _u18879), _u18881), c_List_Olinorder__class_Osort__key(_u18880, _u18879, _u18881, _u18882))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18883) | ~c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18884, _u18883, _u18885), _u18886), _u18887))) | c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), _u18887)) )).
% 12.21/12.42 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u18883) | ~c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), _u18887)) | c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18884, _u18883, _u18885), _u18886), _u18887))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, hAPP(hAPP(c_List_Omap(_u18889, _u18888), _u18890), _u18891)) | c_List_Olinorder__class_Osorted(_u18888, hAPP(hAPP(c_List_Omap(_u18889, _u18888), _u18890), c_List_Olinorder__class_Oinsort__insert__key(_u18889, _u18888, _u18890, _u18892, _u18891))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18893) | ~c_List_Olinorder__class_Osorted(_u18893, hAPP(hAPP(c_List_Omap(_u18894, _u18893), _u18895), _u18896)) | c_List_Olinorder__class_Osorted(_u18893, hAPP(hAPP(c_List_Omap(_u18894, _u18893), _u18895), c_List_Oremove1(_u18894, _u18897, _u18896))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u18898) | c_List_Olinorder__class_Osorted(_u18898, hAPP(hAPP(c_List_Omap(_u18899, _u18898), _u18900), hAPP(c_List_Ofilter(_u18899, hAPP(hAPP(c_COMBC(_u18899, _u18898, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18898, tc_fun(_u18898, tc_HOL_Obool), _u18899), c_fequal), _u18900)), hAPP(_u18901, _u18902))), _u18902))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u18903) | ~c_List_Olinorder__class_Osorted(_u18903, hAPP(hAPP(c_List_Omap(_u18904, _u18903), _u18905), _u18906)) | c_List_Olinorder__class_Osorted(_u18903, hAPP(hAPP(c_List_Omap(_u18904, _u18903), _u18905), hAPP(c_List_Ofilter(_u18904, _u18907), _u18906))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18908) | ~c_List_Olinorder__class_Osorted(_u18908, _u18909) | c_List_Olinorder__class_Osorted(_u18908, c_List_Oremove1(_u18908, _u18910, _u18909)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u18911) | c_List_Olinorder__class_Osorted(_u18911, hAPP(c_List_Ofilter(_u18911, hAPP(hAPP(c_COMBC(_u18911, _u18911, tc_HOL_Obool), c_fequal), hAPP(_u18912, _u18913))), _u18913)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18914, _u18915)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u18916) | ~c_List_Olinorder__class_Osorted(_u18916, _u18917) | c_List_Olinorder__class_Osorted(_u18916, hAPP(c_List_Otl(_u18916), _u18917)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18918, _u18919)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18920) | ~c_List_Olinorder__class_Osorted(_u18920, _u18921) | c_List_Olinorder__class_Osorted(_u18920, c_List_Olinorder__class_Oinsort__insert__key(_u18920, _u18920, c_COMBI(_u18920), _u18922, _u18921)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u18923) | ~c_List_Olinorder__class_Osorted(_u18923, _u18924) | c_List_Olinorder__class_Osorted(_u18923, hAPP(hAPP(c_List_Odrop(_u18923), _u18925), _u18924)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18926) | c_List_Olinorder__class_Osorted(_u18926, c_List_Olist_ONil(_u18926)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18927) | ~hBOOL(hAPP(c_List_Odistinct(_u18928), _u18929)) | hBOOL(hAPP(c_List_Odistinct(_u18928), c_List_Olinorder__class_Oinsort__insert__key(_u18928, _u18927, _u18930, _u18931, _u18929))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18932) | ~c_List_Olinorder__class_Osorted(_u18932, _u18933) | c_List_Olinorder__class_Osorted(_u18932, c_List_Oremdups(_u18932, _u18933)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u18934) | ~c_List_Olinorder__class_Osorted(_u18934, _u18935) | c_List_Olinorder__class_Osorted(_u18934, hAPP(hAPP(c_List_Otake(_u18934), _u18936), _u18935)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u18937) | ~c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18938), hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18937), _u18938), _u18939)) )).
% 12.21/12.42 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u18937) | ~c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18938), hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940))) | c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940)) )).
% 12.21/12.42 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u18937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18937), _u18938), _u18939)) | ~c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940)) | c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18938), hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u18941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18941), _u18942), _u18943)) | ~c_List_Olinorder__class_Osorted(_u18941, hAPP(hAPP(c_List_Olist_OCons(_u18941), _u18943), _u18944)) | c_List_Olinorder__class_Osorted(_u18941, hAPP(hAPP(c_List_Olist_OCons(_u18941), _u18942), hAPP(hAPP(c_List_Olist_OCons(_u18941), _u18943), _u18944))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u18945) | ( _u18946 = c_List_Olist_ONil(_u18945)) | ~c_List_Olinorder__class_Osorted(_u18945, _u18946) | c_List_Olinorder__class_Osorted(_u18945, c_List_Obutlast(_u18945, _u18946)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18947) | ~c_List_Olinorder__class_Osorted(_u18947, _u18948) | ~hBOOL(hAPP(c_List_Odistinct(_u18947), _u18948)) | ~c_List_Olinorder__class_Osorted(_u18947, _u18949) | ~hBOOL(hAPP(c_List_Odistinct(_u18947), _u18949)) | ( hAPP(c_List_Oset(_u18947), _u18948) != hAPP(c_List_Oset(_u18947), _u18949)) | ( _u18948 = _u18949) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18952) | ~c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | c_List_Olinorder__class_Osorted(_u18952, _u18954) )).
% 12.21/12.42 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18952) | ~c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | ~hBOOL(hAPP(hAPP(c_member(_u18952), _u18950), hAPP(c_List_Oset(_u18952), _u18954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18952), _u18953), _u18950)) )).
% 12.21/12.42 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u18952) | c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | ~c_List_Olinorder__class_Osorted(_u18952, _u18954) | hBOOL(hAPP(hAPP(c_member(_u18952), skolem466(_u18954, _u18953, _u18952)), hAPP(c_List_Oset(_u18952), _u18954))) )).
% 12.21/12.42 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u18952) | c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | ~c_List_Olinorder__class_Osorted(_u18952, _u18954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18952), _u18953), skolem466(_u18954, _u18953, _u18952))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u18959) | ~c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | c_List_Olinorder__class_Osorted(_u18959, _u18960) )).
% 12.21/12.42 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u18959) | ~c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | c_List_Olinorder__class_Osorted(_u18959, _u18961) )).
% 12.21/12.42 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u18959) | ~c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~hBOOL(hAPP(hAPP(c_member(_u18959), _u18956), hAPP(c_List_Oset(_u18959), _u18960))) | ~hBOOL(hAPP(hAPP(c_member(_u18959), _u18955), hAPP(c_List_Oset(_u18959), _u18961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18959), _u18956), _u18955)) )).
% 12.21/12.42 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u18959) | c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~c_List_Olinorder__class_Osorted(_u18959, _u18960) | ~c_List_Olinorder__class_Osorted(_u18959, _u18961) | hBOOL(hAPP(hAPP(c_member(_u18959), skolem467(_u18961, _u18960, _u18959)), hAPP(c_List_Oset(_u18959), _u18960))) )).
% 12.21/12.42 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u18959) | c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~c_List_Olinorder__class_Osorted(_u18959, _u18960) | ~c_List_Olinorder__class_Osorted(_u18959, _u18961) | hBOOL(hAPP(hAPP(c_member(_u18959), skolem468(_u18961, _u18960, _u18959)), hAPP(c_List_Oset(_u18959), _u18961))) )).
% 12.21/12.42 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u18959) | c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~c_List_Olinorder__class_Osorted(_u18959, _u18960) | ~c_List_Olinorder__class_Osorted(_u18959, _u18961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18959), skolem467(_u18961, _u18960, _u18959)), skolem468(_u18961, _u18960, _u18959))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18962) | ~c_List_Olinorder__class_Osorted(_u18962, hAPP(hAPP(c_List_Omap(_u18963, _u18962), _u18964), _u18965)) | ~hBOOL(hAPP(_u18966, _u18967)) | ( hAPP(c_List_Ofilter(_u18963, _u18966), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18963, _u18962, _u18964), _u18967), _u18965)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18963, _u18962, _u18964), _u18967), hAPP(c_List_Ofilter(_u18963, _u18966), _u18965))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18970) | ~c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | ~hBOOL(hAPP(hAPP(c_member(_u18970), _u18968), hAPP(c_List_Oset(_u18970), _u18972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18970), _u18971), _u18968)) )).
% 12.21/12.42 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18970) | ~c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | c_List_Olinorder__class_Osorted(_u18970, _u18972) )).
% 12.21/12.42 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u18970) | c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | ~c_List_Olinorder__class_Osorted(_u18970, _u18972) | hBOOL(hAPP(hAPP(c_member(_u18970), skolem469(_u18972, _u18971, _u18970)), hAPP(c_List_Oset(_u18970), _u18972))) )).
% 12.21/12.42 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u18970) | c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | ~c_List_Olinorder__class_Osorted(_u18970, _u18972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18970), _u18971), skolem469(_u18972, _u18971, _u18970))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18973) | ~hBOOL(hAPP(hAPP(c_member(_u18973), _u18974), hAPP(c_List_Oset(_u18973), _u18975))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18973, _u18973, c_COMBI(_u18973), _u18974, _u18975) = _u18975) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18976) | ( hAPP(c_List_Oset(_u18976), c_List_Olinorder__class_Oinsort__insert__key(_u18976, _u18976, c_COMBI(_u18976), _u18977, _u18978)) = hAPP(hAPP(c_Set_Oinsert(_u18976), _u18977), hAPP(c_List_Oset(_u18976), _u18978))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u18979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18979), _u18980)) | ( hAPP(c_List_Oset(_u18979), c_List_Olinorder__class_Osorted__list__of__set(_u18979, _u18980)) = _u18980) )).
% 12.21/12.42 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u18979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18979), _u18980)) | c_List_Olinorder__class_Osorted(_u18979, c_List_Olinorder__class_Osorted__list__of__set(_u18979, _u18980)) )).
% 12.21/12.42 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u18979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18979), _u18980)) | hBOOL(hAPP(c_List_Odistinct(_u18979), c_List_Olinorder__class_Osorted__list__of__set(_u18979, _u18980))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18981) | ~hBOOL(hAPP(hAPP(c_member(_u18981), _u18982), hAPP(c_List_Oset(_u18981), _u18983))) | ~c_List_Olinorder__class_Osorted(_u18981, _u18983) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18981, _u18981, c_COMBI(_u18981)), _u18982), c_List_Oremove1(_u18981, _u18982, _u18983)) = _u18983) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18988) | ~c_List_Olinorder__class_Osorted(_u18988, _u18989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18985), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18988)), _u18989))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18984), _u18985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18988), hAPP(hAPP(c_List_Onth(_u18988), _u18989), _u18984)), hAPP(hAPP(c_List_Onth(_u18988), _u18989), _u18985))) )).
% 12.21/12.42 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18988) | c_List_Olinorder__class_Osorted(_u18988, _u18989) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem470(_u18989, _u18988)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18988)), _u18989))) )).
% 12.21/12.42 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18988) | c_List_Olinorder__class_Osorted(_u18988, _u18989) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem471(_u18989, _u18988)), skolem470(_u18989, _u18988))) )).
% 12.21/12.42 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18988) | c_List_Olinorder__class_Osorted(_u18988, _u18989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18988), hAPP(hAPP(c_List_Onth(_u18988), _u18989), skolem471(_u18989, _u18988))), hAPP(hAPP(c_List_Onth(_u18988), _u18989), skolem470(_u18989, _u18988)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18990) | ~c_List_Olinorder__class_Osorted(_u18990, _u18991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18992), _u18993)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18993), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18990)), _u18991))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18990), hAPP(hAPP(c_List_Onth(_u18990), _u18991), _u18992)), hAPP(hAPP(c_List_Onth(_u18990), _u18991), _u18993))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18994) | ~c_Fun_Oinj__on(_u18995, _u18994, _u18996, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18995, tc_HOL_Obool)), hAPP(c_List_Oset(_u18995), _u18997)), hAPP(c_List_Oset(_u18995), _u18998))) | ~c_List_Olinorder__class_Osorted(_u18994, hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18997)) | ~hBOOL(hAPP(c_List_Odistinct(_u18994), hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18997))) | ~c_List_Olinorder__class_Osorted(_u18994, hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18998)) | ~hBOOL(hAPP(c_List_Odistinct(_u18994), hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18998))) | ( hAPP(c_List_Oset(_u18995), _u18997) != hAPP(c_List_Oset(_u18995), _u18998)) | ( _u18997 = _u18998) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18999) | ~hBOOL(hAPP(hAPP(c_member(_u18999), hAPP(_u19000, _u19001)), hAPP(c_Set_Oimage(_u19002, _u18999, _u19000), hAPP(c_List_Oset(_u19002), _u19003)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u19002, _u18999, _u19000, _u19001, _u19003) = _u19003) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u19004) | hBOOL(hAPP(hAPP(c_member(_u19004), _u19005), hAPP(c_List_Oset(_u19004), _u19006))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u19004, _u19004, c_COMBI(_u19004), _u19005, _u19006) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19004, _u19004, c_COMBI(_u19004)), _u19005), _u19006)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19007), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19007))), _u19008))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19009), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19007))), _u19008))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19007), _u19007), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19007), tc_Nat_Onat, _u19007), c_List_Onth(_u19007)), _u19009)), hAPP(c_List_Ofilter(tc_List_Olist(_u19007), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u19007)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19009)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19007)))), c_List_Otranspose(_u19007, _u19008))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19007)), _u19008), _u19009)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19010), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19010))), _u19011))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19012), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19010))), c_List_Otranspose(_u19010, _u19011)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19013), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19010))), hAPP(c_List_Ofilter(tc_List_Olist(_u19010), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u19010)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19012)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19010)))), _u19011)))) | ( hAPP(hAPP(c_List_Onth(_u19010), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19010)), c_List_Otranspose(_u19010, _u19011)), _u19012)), _u19013) = hAPP(hAPP(c_List_Onth(_u19010), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19010)), _u19011), _u19013)), _u19012)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u19014), tc_List_Olist(_u19014), c_List_Orev(_u19014), _u19015) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u19016, _u19017, _u19018, _u19019, _u19020) = hAPP(c_List_Ofoldl(_u19017, _u19016, hAPP(c_COMBC(_u19016, _u19017, _u19017), _u19018), _u19020), hAPP(c_List_Orev(_u19016), _u19019))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19021, _u19022, _u19023, _u19024), _u19025) = c_List_Ofoldr(_u19022, _u19021, hAPP(c_COMBC(_u19021, _u19022, _u19021), _u19023), hAPP(c_List_Orev(_u19022), _u19025), _u19024)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u19026), hAPP(hAPP(c_List_Oappend(_u19026), _u19027), _u19028)) = hAPP(hAPP(c_List_Oappend(_u19026), hAPP(c_List_Orev(_u19026), _u19028)), hAPP(c_List_Orev(_u19026), _u19027))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19032), _u19034), c_List_Olist_ONil(_u19032)) != hAPP(c_List_Orev(_u19032), _u19036)) | ( _u19036 = hAPP(hAPP(c_List_Olist_OCons(_u19032), _u19034), c_List_Olist_ONil(_u19032))) )).
% 12.21/12.42 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u19037 != hAPP(hAPP(c_List_Olist_OCons(_u19033), _u19035), c_List_Olist_ONil(_u19033))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19033), _u19035), c_List_Olist_ONil(_u19033)) = hAPP(c_List_Orev(_u19033), _u19037)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u19041), _u19043) != hAPP(hAPP(c_List_Olist_OCons(_u19041), _u19045), c_List_Olist_ONil(_u19041))) | ( _u19043 = hAPP(hAPP(c_List_Olist_OCons(_u19041), _u19045), c_List_Olist_ONil(_u19041))) )).
% 12.21/12.42 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u19044 != hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), c_List_Olist_ONil(_u19042))) | ( hAPP(c_List_Orev(_u19042), _u19044) = hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), c_List_Olist_ONil(_u19042))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19049), hAPP(c_List_Orev(_u19049), _u19051))) | hBOOL(hAPP(c_List_Odistinct(_u19049), _u19051)) )).
% 12.21/12.42 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19050), _u19052)) | hBOOL(hAPP(c_List_Odistinct(_u19050), hAPP(c_List_Orev(_u19050), _u19052))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u19053), c_List_Olist_ONil(_u19053)) = c_List_Olist_ONil(_u19053)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u19056) != hAPP(c_List_Orev(_u19056), _u19058)) | ( _u19058 = c_List_Olist_ONil(_u19056)) )).
% 12.21/12.42 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u19059 != c_List_Olist_ONil(_u19057)) | ( c_List_Olist_ONil(_u19057) = hAPP(c_List_Orev(_u19057), _u19059)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u19062), _u19064) != c_List_Olist_ONil(_u19062)) | ( _u19064 = c_List_Olist_ONil(_u19062)) )).
% 12.21/12.42 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u19065 != c_List_Olist_ONil(_u19063)) | ( hAPP(c_List_Orev(_u19063), _u19065) = c_List_Olist_ONil(_u19063)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19066)), hAPP(c_List_Orev(_u19066), _u19067)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19066)), _u19067)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u19068), hAPP(c_List_Orev(_u19068), _u19069)) = _u19069) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u19073), _u19075) != _u19077) | ( _u19075 = hAPP(c_List_Orev(_u19073), _u19077)) )).
% 12.21/12.42 cnf(fact_rev__swap-2, axiom, ( ( _u19076 != hAPP(c_List_Orev(_u19074), _u19078)) | ( hAPP(c_List_Orev(_u19074), _u19076) = _u19078) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u19084 = _u19086) | ( hAPP(c_List_Orev(_u19082), _u19084) != hAPP(c_List_Orev(_u19082), _u19086)) )).
% 12.21/12.42 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u19085 != _u19087) | ( hAPP(c_List_Orev(_u19083), _u19085) = hAPP(c_List_Orev(_u19083), _u19087)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19088) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19088), hAPP(c_List_Orev(_u19088), _u19089)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19088), _u19089)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u19090), hAPP(c_List_Orev(_u19090), _u19091)) = hAPP(c_List_Oset(_u19090), _u19091)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19092)), _u19093) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19094)), _u19095)) | ( hAPP(hAPP(c_List_Ozip(_u19092, _u19094), hAPP(c_List_Orev(_u19092), _u19093)), hAPP(c_List_Orev(_u19094), _u19095)) = hAPP(c_List_Orev(tc_prod(_u19092, _u19094)), hAPP(hAPP(c_List_Ozip(_u19092, _u19094), _u19093), _u19095))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u19096), hAPP(c_List_Ofilter(_u19096, _u19097), _u19098)) = hAPP(c_List_Ofilter(_u19096, _u19097), hAPP(c_List_Orev(_u19096), _u19098))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u19099), c_List_Oconcat(_u19099, _u19100)) = c_List_Oconcat(_u19099, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19099), tc_List_Olist(_u19099)), c_List_Orev(_u19099)), hAPP(c_List_Orev(tc_List_Olist(_u19099)), _u19100)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u19101), hAPP(hAPP(c_List_Omap(_u19102, _u19101), _u19103), _u19104)) = hAPP(hAPP(c_List_Omap(_u19102, _u19101), _u19103), hAPP(c_List_Orev(_u19102), _u19104))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u19109), _u19111) != hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19113), _u19115)) | ( _u19111 = hAPP(hAPP(c_List_Oappend(_u19109), hAPP(c_List_Orev(_u19109), _u19115)), hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19113), c_List_Olist_ONil(_u19109)))) )).
% 12.21/12.42 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u19112 != hAPP(hAPP(c_List_Oappend(_u19110), hAPP(c_List_Orev(_u19110), _u19116)), hAPP(hAPP(c_List_Olist_OCons(_u19110), _u19114), c_List_Olist_ONil(_u19110)))) | ( hAPP(c_List_Orev(_u19110), _u19112) = hAPP(hAPP(c_List_Olist_OCons(_u19110), _u19114), _u19116)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u19117), hAPP(hAPP(c_List_Olist_OCons(_u19117), _u19118), _u19119)) = hAPP(hAPP(c_List_Oappend(_u19117), hAPP(c_List_Orev(_u19117), _u19119)), hAPP(hAPP(c_List_Olist_OCons(_u19117), _u19118), c_List_Olist_ONil(_u19117)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__rev-1, axiom, ( ( _u19120 = c_List_Olist_ONil(_u19121)) | ( hAPP(c_List_Ohd(_u19121), hAPP(c_List_Orev(_u19121), _u19120)) = c_List_Olast(_u19121, _u19120)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_last__rev-1, axiom, ( ( _u19122 = c_List_Olist_ONil(_u19123)) | ( c_List_Olast(_u19123, hAPP(c_List_Orev(_u19123), _u19122)) = hAPP(c_List_Ohd(_u19123), _u19122)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19124), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19124))), c_List_Otranspose(_u19124, _u19125)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u19126), _u19127) = hAPP(c_List_Ofoldl(tc_List_Olist(_u19126), _u19126, hAPP(c_COMBC(_u19126, tc_List_Olist(_u19126), tc_List_Olist(_u19126)), c_List_Olist_OCons(_u19126)), c_List_Olist_ONil(_u19126)), _u19127)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u19128), hAPP(hAPP(c_List_Odrop(_u19128), _u19129), _u19130)) = hAPP(hAPP(c_List_Otake(_u19128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19128)), _u19130)), _u19129)), hAPP(c_List_Orev(_u19128), _u19130))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u19131), hAPP(hAPP(c_List_Otake(_u19131), _u19132), _u19133)) = hAPP(hAPP(c_List_Odrop(_u19131), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19131)), _u19133)), _u19132)), hAPP(c_List_Orev(_u19131), _u19133))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u19134, _u19135), hAPP(c_List_Orev(_u19134), _u19136)) = hAPP(c_List_Orev(_u19134), hAPP(c_List_Orotate(_u19134, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19136)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19135, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19136)))), _u19136))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19137), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19138)), _u19139))) | ( hAPP(hAPP(c_List_Onth(_u19138), hAPP(c_List_Orev(_u19138), _u19139)), _u19137) = hAPP(hAPP(c_List_Onth(_u19138), _u19139), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19138)), _u19139)), hAPP(c_Nat_OSuc, _u19137)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19140), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19141)), _u19142))) | ( hAPP(c_List_Orev(_u19141), hAPP(hAPP(c_List_Olist__update(_u19141, _u19142), _u19140), _u19143)) = hAPP(hAPP(c_List_Olist__update(_u19141, hAPP(c_List_Orev(_u19141), _u19142)), 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(_u19141)), _u19142)), _u19140)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19143)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u19144) | ~c_List_Olinorder__class_Osorted(_u19144, hAPP(c_List_Orev(_u19144), _u19145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19146), _u19147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19147), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19144)), _u19145))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19144), hAPP(hAPP(c_List_Onth(_u19144), _u19145), _u19147)), hAPP(hAPP(c_List_Onth(_u19144), _u19145), _u19146))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u19148) | ~c_List_Olinorder__class_Osorted(_u19148, hAPP(c_List_Orev(_u19148), _u19149)) | ( _u19149 != c_List_Olist_ONil(_u19148)) | ( c_List_Ofoldr(_u19148, _u19148, c_Orderings_Oord__class_Omax(_u19148), _u19149, _u19150) = _u19150) )).
% 12.21/12.42 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u19148) | ~c_List_Olinorder__class_Osorted(_u19148, hAPP(c_List_Orev(_u19148), _u19149)) | ( _u19149 = c_List_Olist_ONil(_u19148)) | ( c_List_Ofoldr(_u19148, _u19148, c_Orderings_Oord__class_Omax(_u19148), _u19149, _u19150) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19148), hAPP(hAPP(c_List_Onth(_u19148), _u19149), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u19150)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19151), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19151))), _u19152))) | ( _u19152 != c_List_Olist_ONil(tc_List_Olist(_u19151))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19151))), c_List_Otranspose(_u19151, _u19152)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.42 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(_u19151), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19151))), _u19152))) | ( _u19152 = c_List_Olist_ONil(tc_List_Olist(_u19151))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19151))), c_List_Otranspose(_u19151, _u19152)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19151)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19151)), _u19152), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19153), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19153))), _u19154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19155), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19153))), _u19154))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19153))), hAPP(c_List_Ofilter(tc_List_Olist(_u19153), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u19153)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19155)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19153)))), c_List_Otranspose(_u19153, _u19154))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19153)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19153)), _u19154), _u19155))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19156), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19156))), _u19157))) | ( c_List_Otranspose(_u19156, c_List_Otranspose(_u19156, _u19157)) = c_List_OtakeWhile(tc_List_Olist(_u19156), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u19156)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19156), tc_List_Olist(_u19156), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u19156))), _u19157)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u19160) | c_List_Olinorder__class_Osorted(_u19160, _u19161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem472(_u19161, _u19160)), skolem473(_u19161, _u19160))) )).
% 12.21/12.42 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u19160) | c_List_Olinorder__class_Osorted(_u19160, _u19161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem473(_u19161, _u19160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19160)), _u19161))) )).
% 12.21/12.42 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u19160) | c_List_Olinorder__class_Osorted(_u19160, _u19161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19160), hAPP(hAPP(c_List_Onth(_u19160), _u19161), skolem472(_u19161, _u19160))), hAPP(hAPP(c_List_Onth(_u19160), _u19161), skolem473(_u19161, _u19160)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u19162) | ~c_List_Olinorder__class_Osorted(_u19162, _u19163) | c_List_Olinorder__class_Osorted(_u19162, c_List_OtakeWhile(_u19162, _u19164, _u19163)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19165, _u19166), _u19167), c_List_OtakeWhile(_u19166, _u19168, _u19169)) = c_List_OtakeWhile(tc_prod(_u19165, _u19166), hAPP(c_Fun_Ocomp(_u19166, tc_HOL_Obool, tc_prod(_u19165, _u19166), _u19168), c_Product__Type_Osnd(_u19165, _u19166)), hAPP(hAPP(c_List_Ozip(_u19165, _u19166), _u19167), _u19169))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19170, _u19171), c_List_OtakeWhile(_u19170, _u19172, _u19173)), _u19174) = c_List_OtakeWhile(tc_prod(_u19170, _u19171), hAPP(c_Fun_Ocomp(_u19170, tc_HOL_Obool, tc_prod(_u19170, _u19171), _u19172), c_Product__Type_Ofst(_u19170, _u19171)), hAPP(hAPP(c_List_Ozip(_u19170, _u19171), _u19173), _u19174))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u19175, _u19176, hAPP(hAPP(c_List_Omap(_u19177, _u19175), _u19178), _u19179)) = hAPP(hAPP(c_List_Omap(_u19177, _u19175), _u19178), c_List_OtakeWhile(_u19177, hAPP(c_Fun_Ocomp(_u19175, tc_HOL_Obool, _u19177, _u19176), _u19178), _u19179))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u19185, _u19187, _u19189) != _u19189) | ~hBOOL(hAPP(hAPP(c_member(_u19185), _u19180), hAPP(c_List_Oset(_u19185), _u19189))) | hBOOL(hAPP(_u19187, _u19180)) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u19186, _u19188, _u19190) = _u19190) | hBOOL(hAPP(hAPP(c_member(_u19186), skolem474(_u19190, _u19188, _u19186)), hAPP(c_List_Oset(_u19186), _u19190))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u19186, _u19188, _u19190) = _u19190) | ~hBOOL(hAPP(_u19188, skolem474(_u19190, _u19188, _u19186))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19191), _u19192), hAPP(c_List_Oset(_u19191), c_List_OtakeWhile(_u19191, _u19193, _u19194)))) | hBOOL(hAPP(hAPP(c_member(_u19191), _u19192), hAPP(c_List_Oset(_u19191), _u19194))) )).
% 12.21/12.42 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19191), _u19192), hAPP(c_List_Oset(_u19191), c_List_OtakeWhile(_u19191, _u19193, _u19194)))) | hBOOL(hAPP(_u19193, _u19192)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19195)), c_List_OtakeWhile(_u19195, _u19196, _u19197))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19195)), _u19197))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u19198, _u19199, c_List_Olist_ONil(_u19198)) = c_List_Olist_ONil(_u19198)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19200), _u19201)) | hBOOL(hAPP(c_List_Odistinct(_u19200), c_List_OtakeWhile(_u19200, _u19202, _u19201))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u19203, _u19204, _u19205) = hAPP(hAPP(c_List_Otake(_u19203), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19203)), c_List_OtakeWhile(_u19203, _u19204, _u19205))), _u19205)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u19210, _u19212)) | ( c_List_OtakeWhile(_u19214, _u19210, hAPP(hAPP(c_List_Olist_OCons(_u19214), _u19212), _u19216)) = hAPP(hAPP(c_List_Olist_OCons(_u19214), _u19212), c_List_OtakeWhile(_u19214, _u19210, _u19216))) )).
% 12.21/12.42 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u19211, _u19213)) | ( c_List_OtakeWhile(_u19215, _u19211, hAPP(hAPP(c_List_Olist_OCons(_u19215), _u19213), _u19217)) = c_List_Olist_ONil(_u19215)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u19218, _u19219)) | ( c_List_OtakeWhile(_u19220, _u19218, hAPP(hAPP(c_List_Oappend(_u19220), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19219), _u19222))) = c_List_OtakeWhile(_u19220, _u19218, _u19221)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19223), _u19224), hAPP(c_List_Oset(_u19223), _u19225))) | hBOOL(hAPP(_u19226, _u19224)) | ( c_List_OtakeWhile(_u19223, _u19226, hAPP(hAPP(c_List_Oappend(_u19223), _u19225), _u19227)) = c_List_OtakeWhile(_u19223, _u19226, _u19225)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19228)), c_List_OtakeWhile(_u19228, _u19229, _u19230))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19228)), _u19230))) | ~hBOOL(hAPP(_u19229, hAPP(hAPP(c_List_Onth(_u19228), _u19230), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19228)), c_List_OtakeWhile(_u19228, _u19229, _u19230))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19231), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), c_List_OtakeWhile(_u19232, _u19233, _u19234)))) | ( hAPP(hAPP(c_List_Onth(_u19232), c_List_OtakeWhile(_u19232, _u19233, _u19234)), _u19231) = hAPP(hAPP(c_List_Onth(_u19232), _u19234), _u19231)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_map__upds__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_map__upds__def-1, axiom, ( ( c_Map_Omap__upds(_u19235, _u19236, _u19237, _u19238, _u19239) = c_Map_Omap__add(_u19235, _u19236, _u19237, hAPP(c_Map_Omap__of(_u19235, _u19236), hAPP(c_List_Orev(tc_prod(_u19235, _u19236)), hAPP(hAPP(c_List_Ozip(_u19235, _u19236), _u19238), _u19239))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u19240 = c_List_Olist_ONil(_u19241)) | ~hBOOL(hAPP(c_List_Odistinct(_u19241), _u19240)) | ( c_List_OtakeWhile(_u19241, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19241), c_fNot), hAPP(hAPP(c_COMBC(_u19241, _u19241, tc_HOL_Obool), c_fequal), c_List_Olast(_u19241, _u19240))), _u19240) = c_List_Obutlast(_u19241, _u19240)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u19242) | ~c_List_Olinorder__class_Osorted(_u19242, hAPP(c_List_Orev(_u19242), hAPP(hAPP(c_List_Omap(_u19243, _u19242), _u19244), _u19245))) | ( hAPP(c_List_Ofilter(_u19243, hAPP(hAPP(c_COMBB(_u19242, tc_HOL_Obool, _u19243), hAPP(c_Orderings_Oord__class_Oless(_u19242), _u19246)), _u19244)), _u19245) = c_List_OtakeWhile(_u19243, hAPP(hAPP(c_COMBB(_u19242, tc_HOL_Obool, _u19243), hAPP(c_Orderings_Oord__class_Oless(_u19242), _u19246)), _u19244), _u19245)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19247), _u19248)) | ~hBOOL(hAPP(hAPP(c_member(_u19247), _u19249), hAPP(c_List_Oset(_u19247), _u19248))) | ( c_List_OtakeWhile(_u19247, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19247), c_fNot), hAPP(hAPP(c_COMBC(_u19247, _u19247, tc_HOL_Obool), c_fequal), _u19249)), hAPP(c_List_Orev(_u19247), _u19248)) = hAPP(c_List_Orev(_u19247), hAPP(c_List_Otl(_u19247), c_List_OdropWhile(_u19247, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19247), c_fNot), hAPP(hAPP(c_COMBC(_u19247, _u19247, tc_HOL_Obool), c_fequal), _u19249)), _u19248)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19250), _u19251)) | ~hBOOL(hAPP(hAPP(c_member(_u19250), _u19252), hAPP(c_List_Oset(_u19250), _u19251))) | ( c_List_OdropWhile(_u19250, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19250), c_fNot), hAPP(hAPP(c_COMBC(_u19250, _u19250, tc_HOL_Obool), c_fequal), _u19252)), hAPP(c_List_Orev(_u19250), _u19251)) = hAPP(hAPP(c_List_Olist_OCons(_u19250), _u19252), hAPP(c_List_Orev(_u19250), c_List_OtakeWhile(_u19250, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19250), c_fNot), hAPP(hAPP(c_COMBC(_u19250, _u19250, tc_HOL_Obool), c_fequal), _u19252)), _u19251)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19253), c_List_OtakeWhile(_u19253, _u19254, _u19255)), c_List_OdropWhile(_u19253, _u19254, _u19255)) = _u19255) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u19261, _u19263, _u19265) != c_List_Olist_ONil(_u19261)) | ~hBOOL(hAPP(hAPP(c_member(_u19261), _u19256), hAPP(c_List_Oset(_u19261), _u19265))) | hBOOL(hAPP(_u19263, _u19256)) )).
% 12.21/12.42 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u19262, _u19264, _u19266) = c_List_Olist_ONil(_u19262)) | hBOOL(hAPP(hAPP(c_member(_u19262), skolem475(_u19266, _u19264, _u19262)), hAPP(c_List_Oset(_u19262), _u19266))) )).
% 12.21/12.42 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u19262, _u19264, _u19266) = c_List_Olist_ONil(_u19262)) | ~hBOOL(hAPP(_u19264, skolem475(_u19266, _u19264, _u19262))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u19271, _u19273)) | ( c_List_OdropWhile(_u19275, _u19271, hAPP(hAPP(c_List_Olist_OCons(_u19275), _u19273), _u19277)) = c_List_OdropWhile(_u19275, _u19271, _u19277)) )).
% 12.21/12.42 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u19272, _u19274)) | ( c_List_OdropWhile(_u19276, _u19272, hAPP(hAPP(c_List_Olist_OCons(_u19276), _u19274), _u19278)) = hAPP(hAPP(c_List_Olist_OCons(_u19276), _u19274), _u19278)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19279), _u19280)) | hBOOL(hAPP(c_List_Odistinct(_u19279), c_List_OdropWhile(_u19279, _u19281, _u19280))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u19282, _u19283, c_List_Olist_ONil(_u19282)) = c_List_Olist_ONil(_u19282)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u19284, _u19285, _u19286) = c_List_Olist_ONil(_u19284)) | ~hBOOL(hAPP(_u19285, hAPP(c_List_Ohd(_u19284), c_List_OdropWhile(_u19284, _u19285, _u19286)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 12.21/12.42 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(_u19287)), c_List_OdropWhile(_u19287, _u19288, _u19289))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19287)), _u19289))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u19290) | ~c_List_Olinorder__class_Osorted(_u19290, _u19291) | c_List_Olinorder__class_Osorted(_u19290, c_List_OdropWhile(_u19290, _u19292, _u19291)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u19293, _u19294, hAPP(hAPP(c_List_Omap(_u19295, _u19293), _u19296), _u19297)) = hAPP(hAPP(c_List_Omap(_u19295, _u19293), _u19296), c_List_OdropWhile(_u19295, hAPP(c_Fun_Ocomp(_u19293, tc_HOL_Obool, _u19295, _u19294), _u19296), _u19297))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19298), _u19299), hAPP(c_List_Oset(_u19298), _u19300))) | hBOOL(hAPP(_u19301, _u19299)) | ( c_List_OdropWhile(_u19298, _u19301, hAPP(hAPP(c_List_Oappend(_u19298), _u19300), _u19302)) = hAPP(hAPP(c_List_Oappend(_u19298), c_List_OdropWhile(_u19298, _u19301, _u19300)), _u19302)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u19308, _u19310, _u19312) != hAPP(hAPP(c_List_Olist_OCons(_u19308), _u19314), _u19316)) | ( _u19312 = hAPP(hAPP(c_List_Oappend(_u19308), c_List_OtakeWhile(_u19308, _u19310, _u19312)), hAPP(hAPP(c_List_Olist_OCons(_u19308), _u19314), _u19316))) )).
% 12.21/12.42 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u19308, _u19310, _u19312) != hAPP(hAPP(c_List_Olist_OCons(_u19308), _u19314), _u19316)) | ~hBOOL(hAPP(_u19310, _u19314)) )).
% 12.21/12.42 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u19313 != hAPP(hAPP(c_List_Oappend(_u19309), c_List_OtakeWhile(_u19309, _u19311, _u19313)), hAPP(hAPP(c_List_Olist_OCons(_u19309), _u19315), _u19317))) | hBOOL(hAPP(_u19311, _u19315)) | ( c_List_OdropWhile(_u19309, _u19311, _u19313) = hAPP(hAPP(c_List_Olist_OCons(_u19309), _u19315), _u19317)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u19318, _u19319, _u19320) = hAPP(hAPP(c_List_Odrop(_u19318), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19318)), c_List_OtakeWhile(_u19318, _u19319, _u19320))), _u19320)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19321), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19322)), c_List_OdropWhile(_u19322, _u19323, _u19324)))) | ( hAPP(hAPP(c_List_Onth(_u19322), c_List_OdropWhile(_u19322, _u19323, _u19324)), _u19321) = hAPP(hAPP(c_List_Onth(_u19322), _u19324), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19321), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19322)), c_List_OtakeWhile(_u19322, _u19323, _u19324))))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u19326, _u19327, _u19328) = hAPP(c_List_Ofilter(_u19326, _u19327), _u19328)) | hBOOL(hAPP(hAPP(c_member(_u19326), skolem476(_u19328, _u19327, _u19326)), hAPP(c_List_Oset(_u19326), c_List_OdropWhile(_u19326, _u19327, _u19328)))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u19326, _u19327, _u19328) = hAPP(c_List_Ofilter(_u19326, _u19327), _u19328)) | hBOOL(hAPP(_u19327, skolem476(_u19328, _u19327, _u19326))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), _u19330)) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), _u19330)) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), _u19330))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), _u19330))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), skolem477(_u19333, _u19332, _u19331, _u19330)))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) )).
% 12.21/12.42 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), skolem477(_u19333, _u19332, _u19331, _u19330)))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), _u19330))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), _u19338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), c_List_OtakeWhile(_u19337, _u19336, _u19338)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem478(_u19338, _u19337, _u19336, _u19335)), _u19335)) )).
% 12.21/12.42 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), _u19338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), c_List_OtakeWhile(_u19337, _u19336, _u19338)))) | ~hBOOL(hAPP(_u19336, hAPP(hAPP(c_List_Onth(_u19337), _u19338), skolem478(_u19338, _u19337, _u19336, _u19335)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19339)), _u19340), c_List_Olists(_u19339, _u19341))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19339)), _u19340), c_List_Olists(_u19339, _u19342))) | hBOOL(hAPP(c_List_Olistsp(_u19339, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19339, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u19339, tc_fun(_u19339, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19339)), _u19341)), hAPP(hAPP(c_COMBC(_u19339, tc_fun(_u19339, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19339)), _u19342))), _u19340)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u19343, _u19344), c_List_Olist_ONil(_u19343))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), hAPP(hAPP(c_List_Oappend(_u19349), _u19353), _u19355))) | hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), _u19353)) )).
% 12.21/12.42 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), hAPP(hAPP(c_List_Oappend(_u19349), _u19353), _u19355))) | hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), _u19355)) )).
% 12.21/12.42 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19350, _u19352), _u19354)) | ~hBOOL(hAPP(c_List_Olistsp(_u19350, _u19352), _u19356)) | hBOOL(hAPP(c_List_Olistsp(_u19350, _u19352), hAPP(hAPP(c_List_Oappend(_u19350), _u19354), _u19356))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19361, _u19363), hAPP(hAPP(c_List_Olist_OCons(_u19361), _u19365), _u19367))) | hBOOL(hAPP(_u19363, _u19365)) )).
% 12.21/12.42 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19361, _u19363), hAPP(hAPP(c_List_Olist_OCons(_u19361), _u19365), _u19367))) | hBOOL(hAPP(c_List_Olistsp(_u19361, _u19363), _u19367)) )).
% 12.21/12.42 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u19364, _u19366)) | ~hBOOL(hAPP(c_List_Olistsp(_u19362, _u19364), _u19368)) | hBOOL(hAPP(c_List_Olistsp(_u19362, _u19364), hAPP(hAPP(c_List_Olist_OCons(_u19362), _u19366), _u19368))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u19369, _u19370), c_List_Olist_ONil(_u19369))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u19371, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19371, tc_HOL_Obool)), _u19372), _u19373)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u19371), tc_HOL_Obool)), c_List_Olistsp(_u19371, _u19372)), c_List_Olistsp(_u19371, _u19373))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19374, _u19375), _u19376)) | ~hBOOL(hAPP(c_List_Olistsp(_u19374, _u19377), _u19376)) | hBOOL(hAPP(c_List_Olistsp(_u19374, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19374, tc_HOL_Obool)), _u19375), _u19377)), _u19376)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19382, hAPP(hAPP(c_COMBS(_u19382, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19382), c_fconj), _u19384)), _u19386)), _u19388)) | hBOOL(hAPP(c_List_Olistsp(_u19382, _u19384), _u19388)) )).
% 12.21/12.42 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19382, hAPP(hAPP(c_COMBS(_u19382, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19382), c_fconj), _u19384)), _u19386)), _u19388)) | hBOOL(hAPP(c_List_Olistsp(_u19382, _u19386), _u19388)) )).
% 12.21/12.42 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19383, _u19385), _u19389)) | ~hBOOL(hAPP(c_List_Olistsp(_u19383, _u19387), _u19389)) | hBOOL(hAPP(c_List_Olistsp(_u19383, hAPP(hAPP(c_COMBS(_u19383, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19383), c_fconj), _u19385)), _u19387)), _u19389)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19395, _u19397), _u19399)) | ~hBOOL(hAPP(hAPP(c_member(_u19395), _u19390), hAPP(c_List_Oset(_u19395), _u19399))) | hBOOL(hAPP(_u19397, _u19390)) )).
% 12.21/12.42 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u19396, _u19398), _u19400)) | hBOOL(hAPP(hAPP(c_member(_u19396), skolem479(_u19400, _u19398, _u19396)), hAPP(c_List_Oset(_u19396), _u19400))) )).
% 12.21/12.42 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u19396, _u19398), _u19400)) | ~hBOOL(hAPP(_u19398, skolem479(_u19400, _u19398, _u19396))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19401, tc_HOL_Obool)), _u19402), _u19403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u19401), tc_HOL_Obool)), c_List_Olistsp(_u19401, _u19402)), c_List_Olistsp(_u19401, _u19403))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u19407, hAPP(hAPP(c_COMBC(_u19407, tc_fun(_u19407, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19407)), _u19409)), _u19411)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19407)), _u19411), c_List_Olists(_u19407, _u19409))) )).
% 12.21/12.42 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19408)), _u19412), c_List_Olists(_u19408, _u19410))) | hBOOL(hAPP(c_List_Olistsp(_u19408, hAPP(hAPP(c_COMBC(_u19408, tc_fun(_u19408, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19408)), _u19410)), _u19412)) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u19413, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19413, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u19413, tc_fun(_u19413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19413)), _u19414)), hAPP(hAPP(c_COMBC(_u19413, tc_fun(_u19413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19413)), _u19415))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u19413), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19413), tc_fun(tc_List_Olist(_u19413), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u19413))), c_List_Olists(_u19413, _u19414))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19413), tc_fun(tc_List_Olist(_u19413), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u19413))), c_List_Olists(_u19413, _u19415)))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u19423, _u19425, _u19427, _u19429, _u19431) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19423)), _u19429) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19425)), _u19431)) )).
% 12.21/12.42 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u19423, _u19425, _u19427, _u19429, _u19431) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19423, _u19425)), _u19416), hAPP(c_List_Oset(tc_prod(_u19423, _u19425)), hAPP(hAPP(c_List_Ozip(_u19423, _u19425), _u19429), _u19431)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19423, _u19425, tc_HOL_Obool), _u19427), _u19416)) )).
% 12.21/12.42 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u19424, _u19426, _u19428, _u19430, _u19432) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19424)), _u19430) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19426)), _u19432)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19424, _u19426)), skolem480(_u19432, _u19430, _u19428, _u19426, _u19424)), hAPP(c_List_Oset(tc_prod(_u19424, _u19426)), hAPP(hAPP(c_List_Ozip(_u19424, _u19426), _u19430), _u19432)))) )).
% 12.21/12.42 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u19424, _u19426, _u19428, _u19430, _u19432) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19424)), _u19430) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19426)), _u19432)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19424, _u19426, tc_HOL_Obool), _u19428), skolem480(_u19432, _u19430, _u19428, _u19426, _u19424))) )).
% 12.21/12.42
% 12.21/12.42 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 12.21/12.42 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u19439) | ~c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 = c_List_Olist_ONil(_u19439)) | c_List_Olinorder__class_Osorted(_u19439, skolem481(_u19440, _u19439)) )).
% 12.21/12.43 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u19439) | ~c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 = c_List_Olist_ONil(_u19439)) | ( _u19440 = hAPP(hAPP(c_List_Olist_OCons(_u19439), skolem482(_u19440, _u19439)), skolem481(_u19440, _u19439))) )).
% 12.21/12.43 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u19439) | ~c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 = c_List_Olist_ONil(_u19439)) | ~hBOOL(hAPP(hAPP(c_member(_u19439), _u19433), hAPP(c_List_Oset(_u19439), skolem481(_u19440, _u19439)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19439), skolem482(_u19440, _u19439)), _u19433)) )).
% 12.21/12.43 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u19439) | c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 != c_List_Olist_ONil(_u19439)) )).
% 12.21/12.43 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u19439) | c_List_Olinorder__class_Osorted(_u19439, _u19440) | ~c_List_Olinorder__class_Osorted(_u19439, _u19438) | ( _u19440 != hAPP(hAPP(c_List_Olist_OCons(_u19439), _u19437), _u19438)) | hBOOL(hAPP(hAPP(c_member(_u19439), skolem483(_u19440, _u19439, _u19438, _u19437)), hAPP(c_List_Oset(_u19439), _u19438))) )).
% 12.21/12.43 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u19439) | c_List_Olinorder__class_Osorted(_u19439, _u19440) | ~c_List_Olinorder__class_Osorted(_u19439, _u19438) | ( _u19440 != hAPP(hAPP(c_List_Olist_OCons(_u19439), _u19437), _u19438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19439), _u19437), skolem483(_u19440, _u19439, _u19438, _u19437))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u19441, _u19442, _u19443, _u19444, _u19445) | ~hBOOL(hAPP(hAPP(_u19443, _u19446), _u19447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19448), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19442)), _u19445))) | c_List_Olist__all2(_u19441, _u19442, _u19443, hAPP(hAPP(c_List_Olist__update(_u19441, _u19444), _u19448), _u19446), hAPP(hAPP(c_List_Olist__update(_u19442, _u19445), _u19448), _u19447)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19449), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19450)), _u19451))) | ~c_List_Olist__all2(_u19450, _u19452, _u19453, _u19451, _u19454) | ~hBOOL(hAPP(hAPP(_u19453, _u19455), _u19456)) | c_List_Olist__all2(_u19450, _u19452, _u19453, hAPP(hAPP(c_List_Olist__update(_u19450, _u19451), _u19449), _u19455), hAPP(hAPP(c_List_Olist__update(_u19452, _u19454), _u19449), _u19456)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u19464, _u19466, _u19468, _u19470, _u19472) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19464)), _u19470) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19466)), _u19472)) )).
% 12.21/12.43 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u19464, _u19466, _u19468, _u19470, _u19472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19457), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19464)), _u19470))) | hBOOL(hAPP(hAPP(_u19468, hAPP(hAPP(c_List_Onth(_u19464), _u19470), _u19457)), hAPP(hAPP(c_List_Onth(_u19466), _u19472), _u19457))) )).
% 12.21/12.43 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u19465, _u19467, _u19469, _u19471, _u19473) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19465)), _u19471) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19467)), _u19473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem484(_u19473, _u19471, _u19469, _u19467, _u19465)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19465)), _u19471))) )).
% 12.21/12.43 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u19465, _u19467, _u19469, _u19471, _u19473) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19465)), _u19471) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19467)), _u19473)) | ~hBOOL(hAPP(hAPP(_u19469, hAPP(hAPP(c_List_Onth(_u19465), _u19471), skolem484(_u19473, _u19471, _u19469, _u19467, _u19465))), hAPP(hAPP(c_List_Onth(_u19467), _u19473), skolem484(_u19473, _u19471, _u19469, _u19467, _u19465)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u19474, _u19475, _u19476, _u19477, _u19478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19479), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19477))) | hBOOL(hAPP(hAPP(_u19476, hAPP(hAPP(c_List_Onth(_u19474), _u19477), _u19479)), hAPP(hAPP(c_List_Onth(_u19475), _u19478), _u19479))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u19480, _u19481, _u19482, _u19483, _u19484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19485), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19481)), _u19484))) | hBOOL(hAPP(hAPP(_u19482, hAPP(hAPP(c_List_Onth(_u19480), _u19483), _u19485)), hAPP(hAPP(c_List_Onth(_u19481), _u19484), _u19485))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u19493, _u19495, _u19497, _u19499, hAPP(hAPP(c_List_Omap(_u19501, _u19495), _u19503), _u19505)) | c_List_Olist__all2(_u19493, _u19501, hAPP(hAPP(c_COMBC(_u19493, tc_fun(_u19501, _u19495), tc_fun(_u19501, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19495, tc_HOL_Obool), tc_fun(tc_fun(_u19501, _u19495), tc_fun(_u19501, tc_HOL_Obool)), _u19493), c_COMBB(_u19495, tc_HOL_Obool, _u19501)), _u19497)), _u19503), _u19499, _u19505) )).
% 12.21/12.43 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u19494, _u19502, hAPP(hAPP(c_COMBC(_u19494, tc_fun(_u19502, _u19496), tc_fun(_u19502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19496, tc_HOL_Obool), tc_fun(tc_fun(_u19502, _u19496), tc_fun(_u19502, tc_HOL_Obool)), _u19494), c_COMBB(_u19496, tc_HOL_Obool, _u19502)), _u19498)), _u19504), _u19500, _u19506) | c_List_Olist__all2(_u19494, _u19496, _u19498, _u19500, hAPP(hAPP(c_List_Omap(_u19502, _u19496), _u19504), _u19506)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u19514, _u19516, _u19518, hAPP(hAPP(c_List_Omap(_u19520, _u19514), _u19522), _u19524), _u19526) | c_List_Olist__all2(_u19520, _u19516, hAPP(hAPP(c_COMBB(_u19514, tc_fun(_u19516, tc_HOL_Obool), _u19520), _u19518), _u19522), _u19524, _u19526) )).
% 12.21/12.43 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u19521, _u19517, hAPP(hAPP(c_COMBB(_u19515, tc_fun(_u19517, tc_HOL_Obool), _u19521), _u19519), _u19523), _u19525, _u19527) | c_List_Olist__all2(_u19515, _u19517, _u19519, hAPP(hAPP(c_List_Omap(_u19521, _u19515), _u19523), _u19525), _u19527) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__eq-1, axiom, ( ( _u19531 != _u19533) | c_List_Olist__all2(_u19535, _u19535, c_fequal, _u19531, _u19533) )).
% 12.21/12.43 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u19536, _u19536, c_fequal, _u19532, _u19534) | ( _u19532 = _u19534) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u19537, _u19538, _u19539, _u19540, _u19541) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19537)), _u19540) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19538)), _u19541)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u19542, _u19543, _u19544, _u19545, _u19546) | c_List_Olist__all2(_u19542, _u19543, _u19544, hAPP(hAPP(c_List_Odrop(_u19542), _u19547), _u19545), hAPP(hAPP(c_List_Odrop(_u19543), _u19547), _u19546)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u19552, _u19554, _u19556, _u19558, c_List_Olist_ONil(_u19554)) | ( _u19558 = c_List_Olist_ONil(_u19552)) )).
% 12.21/12.43 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u19559 != c_List_Olist_ONil(_u19553)) | c_List_Olist__all2(_u19553, _u19555, _u19557, _u19559, c_List_Olist_ONil(_u19555)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__Nil-1, axiom, ( ( _u19570 = c_List_Olist_ONil(_u19566)) | ~c_List_Olist__all2(_u19564, _u19566, _u19568, c_List_Olist_ONil(_u19564), _u19570) )).
% 12.21/12.43 cnf(fact_list__all2__Nil-2, axiom, ( ( _u19571 != c_List_Olist_ONil(_u19567)) | c_List_Olist__all2(_u19565, _u19567, _u19569, c_List_Olist_ONil(_u19565), _u19571) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u19572, _u19573, _u19574, _u19575, _u19576) | c_List_Olist__all2(_u19572, _u19573, _u19574, hAPP(hAPP(c_List_Otake(_u19572), _u19577), _u19575), hAPP(hAPP(c_List_Otake(_u19573), _u19577), _u19576)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u19585, _u19587, _u19589, hAPP(hAPP(c_List_Olist_OCons(_u19585), _u19591), _u19593), hAPP(hAPP(c_List_Olist_OCons(_u19587), _u19595), _u19597)) | hBOOL(hAPP(hAPP(_u19589, _u19591), _u19595)) )).
% 12.21/12.43 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u19585, _u19587, _u19589, hAPP(hAPP(c_List_Olist_OCons(_u19585), _u19591), _u19593), hAPP(hAPP(c_List_Olist_OCons(_u19587), _u19595), _u19597)) | c_List_Olist__all2(_u19585, _u19587, _u19589, _u19593, _u19597) )).
% 12.21/12.43 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u19590, _u19592), _u19596)) | ~c_List_Olist__all2(_u19586, _u19588, _u19590, _u19594, _u19598) | c_List_Olist__all2(_u19586, _u19588, _u19590, hAPP(hAPP(c_List_Olist_OCons(_u19586), _u19592), _u19594), hAPP(hAPP(c_List_Olist_OCons(_u19588), _u19596), _u19598)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u19599, _u19600, _u19601, _u19602, _u19603) | ~c_List_Olist__all2(_u19599, _u19600, _u19601, _u19604, _u19605) | c_List_Olist__all2(_u19599, _u19600, _u19601, hAPP(hAPP(c_List_Oappend(_u19599), _u19602), _u19604), hAPP(hAPP(c_List_Oappend(_u19600), _u19603), _u19605)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19606)), _u19607) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19608)), _u19609)) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, hAPP(hAPP(c_List_Oappend(_u19606), _u19607), _u19611), hAPP(hAPP(c_List_Oappend(_u19608), _u19609), _u19612)) | c_List_Olist__all2(_u19606, _u19608, _u19610, _u19607, _u19609) )).
% 12.21/12.43 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19606)), _u19607) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19608)), _u19609)) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, hAPP(hAPP(c_List_Oappend(_u19606), _u19607), _u19611), hAPP(hAPP(c_List_Oappend(_u19608), _u19609), _u19612)) | c_List_Olist__all2(_u19606, _u19608, _u19610, _u19611, _u19612) )).
% 12.21/12.43 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19606)), _u19607) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19608)), _u19609)) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, _u19607, _u19609) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, _u19611, _u19612) | c_List_Olist__all2(_u19606, _u19608, _u19610, hAPP(hAPP(c_List_Oappend(_u19606), _u19607), _u19611), hAPP(hAPP(c_List_Oappend(_u19608), _u19609), _u19612)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u19618, _u19620, _u19622, hAPP(c_List_Orev(_u19618), _u19624), hAPP(c_List_Orev(_u19620), _u19626)) | c_List_Olist__all2(_u19618, _u19620, _u19622, _u19624, _u19626) )).
% 12.21/12.43 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u19619, _u19621, _u19623, _u19625, _u19627) | c_List_Olist__all2(_u19619, _u19621, _u19623, hAPP(c_List_Orev(_u19619), _u19625), hAPP(c_List_Orev(_u19621), _u19627)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u19633, _u19635, _u19637, hAPP(c_List_Orev(_u19633), _u19639), _u19641) | c_List_Olist__all2(_u19633, _u19635, _u19637, _u19639, hAPP(c_List_Orev(_u19635), _u19641)) )).
% 12.21/12.43 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u19634, _u19636, _u19638, _u19640, hAPP(c_List_Orev(_u19636), _u19642)) | c_List_Olist__all2(_u19634, _u19636, _u19638, hAPP(c_List_Orev(_u19634), _u19640), _u19642) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19644)), _u19646) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)) | c_List_Olist__all2(_u19644, _u19645, _u19648, _u19646, _u19647) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19644, _u19645)), skolem485(_u19648, _u19647, _u19646, _u19645, _u19644)), hAPP(c_List_Oset(tc_prod(_u19644, _u19645)), hAPP(hAPP(c_List_Ozip(_u19644, _u19645), _u19646), _u19647)))) )).
% 12.21/12.43 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19644)), _u19646) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)) | c_List_Olist__all2(_u19644, _u19645, _u19648, _u19646, _u19647) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19644, _u19645, tc_HOL_Obool), _u19648), skolem485(_u19648, _u19647, _u19646, _u19645, _u19644))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19650), _u19653), hAPP(c_List_Oset(_u19650), _u19651))) | hBOOL(hAPP(_u19652, _u19653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem486(_u19653, _u19652, _u19651, _u19650)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19650)), _u19651))) )).
% 12.21/12.43 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19650), _u19653), hAPP(c_List_Oset(_u19650), _u19651))) | hBOOL(hAPP(_u19652, _u19653)) | ~hBOOL(hAPP(_u19652, hAPP(hAPP(c_List_Onth(_u19650), _u19651), skolem486(_u19653, _u19652, _u19651, _u19650)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u19654, _u19655, _u19656, hAPP(hAPP(c_Set_Oinsert(_u19654), _u19657), hAPP(c_List_Oset(_u19654), _u19658))) | ( hAPP(hAPP(c_List_Omap(_u19654, _u19655), _u19656), hAPP(c_List_OremoveAll(_u19654, _u19657), _u19658)) = hAPP(c_List_OremoveAll(_u19655, hAPP(_u19656, _u19657)), hAPP(hAPP(c_List_Omap(_u19654, _u19655), _u19656), _u19658))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19659), _u19660), hAPP(c_List_Oset(_u19659), _u19661))) | ( c_List_Oinsert(_u19659, _u19660, _u19661) = hAPP(hAPP(c_List_Olist_OCons(_u19659), _u19660), _u19661)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19662), _u19663), hAPP(c_List_Oset(_u19662), _u19664))) | ( hAPP(c_List_OremoveAll(_u19662, _u19663), _u19664) = _u19664) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u19665, _u19666) = c_List_Ofilter(_u19665, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19665), c_fNot), hAPP(c_fequal, _u19666)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u19667, _u19668)) | ( hAPP(c_List_OremoveAll(_u19669, _u19668), hAPP(c_List_Ofilter(_u19669, _u19667), _u19670)) = hAPP(c_List_Ofilter(_u19669, _u19667), _u19670)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u19671, _u19672), c_List_Olist_ONil(_u19671)) = c_List_Olist_ONil(_u19671)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19673), _u19674)) | hBOOL(hAPP(c_List_Odistinct(_u19673), c_List_Oinsert(_u19673, _u19675, _u19674))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19676), _u19677)) | hBOOL(hAPP(c_List_Odistinct(_u19676), hAPP(c_List_OremoveAll(_u19676, _u19678), _u19677))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u19679, _u19680, c_List_Oremdups(_u19679, _u19681)) = c_List_Oremdups(_u19679, c_List_Oinsert(_u19679, _u19680, _u19681))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u19686 != _u19688) | ( hAPP(c_List_OremoveAll(_u19690, _u19686), hAPP(hAPP(c_List_Olist_OCons(_u19690), _u19688), _u19692)) = hAPP(c_List_OremoveAll(_u19690, _u19686), _u19692)) )).
% 12.21/12.43 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u19687 = _u19689) | ( hAPP(c_List_OremoveAll(_u19691, _u19687), hAPP(hAPP(c_List_Olist_OCons(_u19691), _u19689), _u19693)) = hAPP(hAPP(c_List_Olist_OCons(_u19691), _u19689), hAPP(c_List_OremoveAll(_u19691, _u19687), _u19693))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u19694, _u19695), hAPP(hAPP(c_List_Oappend(_u19694), _u19696), _u19697)) = hAPP(hAPP(c_List_Oappend(_u19694), hAPP(c_List_OremoveAll(_u19694, _u19695), _u19696)), hAPP(c_List_OremoveAll(_u19694, _u19695), _u19697))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19698), _u19699)) | ( c_List_Oremove1(_u19698, _u19700, _u19699) = hAPP(c_List_OremoveAll(_u19698, _u19700), _u19699)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19701), _u19702), hAPP(c_List_Oset(_u19701), _u19703))) | ( c_List_Oinsert(_u19701, _u19702, _u19703) = _u19703) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u19704), c_List_Oinsert(_u19704, _u19705, _u19706)) = hAPP(hAPP(c_Set_Oinsert(_u19704), _u19705), hAPP(c_List_Oset(_u19704), _u19706))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u19707, _u19708, c_List_Olist_ONil(_u19707)) = hAPP(hAPP(c_List_Olist_OCons(_u19707), _u19708), c_List_Olist_ONil(_u19707))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u19709, _u19710, _u19711, c_Orderings_Otop__class_Otop(tc_fun(_u19709, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u19709, _u19710), _u19711), hAPP(c_List_OremoveAll(_u19709, _u19712), _u19713)) = hAPP(c_List_OremoveAll(_u19710, hAPP(_u19711, _u19712)), hAPP(hAPP(c_List_Omap(_u19709, _u19710), _u19711), _u19713))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u19714), hAPP(c_List_OremoveAll(_u19714, _u19715), _u19716)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19714, tc_HOL_Obool)), hAPP(c_List_Oset(_u19714), _u19716)), hAPP(hAPP(c_Set_Oinsert(_u19714), _u19715), c_Orderings_Obot__class_Obot(tc_fun(_u19714, tc_HOL_Obool))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19720), _u19722), hAPP(c_List_Oset(_u19720), _u19724))) | ( c_List_Oinsert(_u19720, _u19722, _u19724) = _u19724) )).
% 12.21/12.43 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19721), _u19723), hAPP(c_List_Oset(_u19721), _u19725))) | ( c_List_Oinsert(_u19721, _u19723, _u19725) = hAPP(hAPP(c_List_Olist_OCons(_u19721), _u19723), _u19725)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u19726, hAPP(hAPP(c_List_Omap(_u19727, tc_List_Olist(_u19726)), _u19728), _u19729)) = c_List_Omaps(_u19727, _u19726, _u19728, _u19729)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u19730, _u19731, _u19732, _u19733) = c_List_Oconcat(_u19731, hAPP(hAPP(c_List_Omap(_u19730, tc_List_Olist(_u19731)), _u19732), _u19733))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u19734, _u19735, _u19736, c_List_Olist_ONil(_u19734)) = c_List_Olist_ONil(_u19735)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u19737, _u19738, _u19739, hAPP(hAPP(c_List_Olist_OCons(_u19737), _u19740), _u19741)) = hAPP(hAPP(c_List_Oappend(_u19738), hAPP(_u19739, _u19740)), c_List_Omaps(_u19737, _u19738, _u19739, _u19741))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem488(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.43 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem489(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.43 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( skolem488(_u19746, _u19745) != skolem489(_u19746, _u19745)) )).
% 12.21/12.43 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19745, tc_HOL_Obool)), hAPP(c_List_Oset(_u19745), skolem488(_u19746, _u19745))), hAPP(c_List_Oset(_u19745), skolem489(_u19746, _u19745))) != c_Orderings_Obot__class_Obot(tc_fun(_u19745, tc_HOL_Obool))) )).
% 12.21/12.43 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem488(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.43 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem489(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.43 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( skolem488(_u19746, _u19745) != skolem489(_u19746, _u19745)) )).
% 12.21/12.43 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19745, tc_HOL_Obool)), hAPP(c_List_Oset(_u19745), skolem488(_u19746, _u19745))), hAPP(c_List_Oset(_u19745), skolem489(_u19746, _u19745))) != c_Orderings_Obot__class_Obot(tc_fun(_u19745, tc_HOL_Obool))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u19747, _u19748)), hAPP(_u19747, _u19749))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), _u19748), _u19749)), c_List_Omeasures(_u19750, _u19751))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), _u19748), _u19749)), c_List_Omeasures(_u19750, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19750, tc_Nat_Onat)), _u19747), _u19751)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u19752, c_List_Omeasures(_u19752, _u19753)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19754, _u19754)), hAPP(hAPP(c_Product__Type_OPair(_u19754, _u19754), _u19755), _u19756)), c_List_Omeasures(_u19754, c_List_Olist_ONil(tc_fun(_u19754, tc_Nat_Onat))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u19757, _u19758) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u19757), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u19757, tc_List_Olist(tc_fun(_u19757, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19757, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u19757, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u19757), c_List_Omap(tc_fun(_u19757, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u19757, tc_Nat_Onat), _u19757, tc_Nat_Onat), c_COMBI(tc_fun(_u19757, tc_Nat_Onat))))), _u19758))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19759, _u19760)), hAPP(_u19759, _u19761))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19762, _u19762)), hAPP(hAPP(c_Product__Type_OPair(_u19762, _u19762), _u19760), _u19761)), c_List_Omeasures(_u19762, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19762, tc_Nat_Onat)), _u19759), _u19763)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19769, _u19769)), hAPP(hAPP(c_Product__Type_OPair(_u19769, _u19769), _u19771), _u19773)), c_List_Omeasures(_u19769, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19769, tc_Nat_Onat)), _u19775), _u19777)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19775, _u19771)), hAPP(_u19775, _u19773))) | ( hAPP(_u19775, _u19771) = hAPP(_u19775, _u19773)) )).
% 12.21/12.43 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19769, _u19769)), hAPP(hAPP(c_Product__Type_OPair(_u19769, _u19769), _u19771), _u19773)), c_List_Omeasures(_u19769, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19769, tc_Nat_Onat)), _u19775), _u19777)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19775, _u19771)), hAPP(_u19775, _u19773))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19769, _u19769)), hAPP(hAPP(c_Product__Type_OPair(_u19769, _u19769), _u19771), _u19773)), c_List_Omeasures(_u19769, _u19777))) )).
% 12.21/12.43 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19772), _u19774)), c_List_Omeasures(_u19770, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19770, tc_Nat_Onat)), _u19776), _u19778)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19776, _u19772)), hAPP(_u19776, _u19774))) )).
% 12.21/12.43 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19772), _u19774)), c_List_Omeasures(_u19770, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19770, tc_Nat_Onat)), _u19776), _u19778)))) | ( hAPP(_u19776, _u19772) != hAPP(_u19776, _u19774)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19772), _u19774)), c_List_Omeasures(_u19770, _u19778))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19782, _u19780, hAPP(c_COMBC(_u19780, _u19782, _u19782), _u19784), hAPP(_u19785, _u19787)), _u19781) = hAPP(_u19785, hAPP(c_List_Ofoldl(_u19783, _u19780, hAPP(c_COMBC(_u19780, _u19783, _u19783), _u19786), _u19787), _u19781))) | hBOOL(hAPP(hAPP(c_member(_u19780), skolem490(_u19787, _u19786, _u19785, _u19784, _u19783, _u19782, _u19781, _u19780)), hAPP(c_List_Oset(_u19780), _u19781))) )).
% 12.21/12.43 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u19782, _u19780, hAPP(c_COMBC(_u19780, _u19782, _u19782), _u19784), hAPP(_u19785, _u19787)), _u19781) = hAPP(_u19785, hAPP(c_List_Ofoldl(_u19783, _u19780, hAPP(c_COMBC(_u19780, _u19783, _u19783), _u19786), _u19787), _u19781))) | ( hAPP(c_Fun_Ocomp(_u19782, _u19782, _u19783, hAPP(_u19784, skolem490(_u19787, _u19786, _u19785, _u19784, _u19783, _u19782, _u19781, _u19780))), _u19785) != hAPP(c_Fun_Ocomp(_u19783, _u19782, _u19783, _u19785), hAPP(_u19786, skolem490(_u19787, _u19786, _u19785, _u19784, _u19783, _u19782, _u19781, _u19780)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u19792, hAPP(hAPP(c_List_Ozip(_u19788, _u19790), _u19789), _u19791))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), hAPP(hAPP(c_List_Otake(_u19788), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19789)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), hAPP(hAPP(c_List_Otake(_u19790), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19791))) )).
% 12.21/12.43 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u19792, hAPP(hAPP(c_List_Ozip(_u19788, _u19790), _u19789), _u19791))) | ~hBOOL(hAPP(_u19792, hAPP(hAPP(c_List_Ozip(_u19788, _u19790), hAPP(hAPP(c_List_Otake(_u19788), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19789)), hAPP(hAPP(c_List_Otake(_u19790), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19791)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_map__of__eqI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_map__of__eqI-1, axiom, ( ( hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19796)) != hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19797))) | ( hAPP(c_Map_Omap__of(_u19794, _u19795), _u19796) = hAPP(c_Map_Omap__of(_u19794, _u19795), _u19797)) | hBOOL(hAPP(hAPP(c_member(_u19794), skolem491(_u19797, _u19796, _u19795, _u19794)), hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19796)))) )).
% 12.21/12.43 cnf(fact_map__of__eqI-2, axiom, ( ( hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19796)) != hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19797))) | ( hAPP(c_Map_Omap__of(_u19794, _u19795), _u19796) = hAPP(c_Map_Omap__of(_u19794, _u19795), _u19797)) | ( hAPP(hAPP(c_Map_Omap__of(_u19794, _u19795), _u19796), skolem491(_u19797, _u19796, _u19795, _u19794)) != hAPP(hAPP(c_Map_Omap__of(_u19794, _u19795), _u19797), skolem491(_u19797, _u19796, _u19795, _u19794))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u19798, _u19799, _u19800, _u19801) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u19798, _u19799), _u19800), _u19801))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u19803, _u19805, hAPP(hAPP(c_List_Oappend(_u19803), _u19804), _u19806)) = c_List_OdropWhile(_u19803, _u19805, _u19806)) | hBOOL(hAPP(hAPP(c_member(_u19803), skolem492(_u19806, _u19805, _u19804, _u19803)), hAPP(c_List_Oset(_u19803), _u19804))) )).
% 12.21/12.43 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u19803, _u19805, hAPP(hAPP(c_List_Oappend(_u19803), _u19804), _u19806)) = c_List_OdropWhile(_u19803, _u19805, _u19806)) | ~hBOOL(hAPP(_u19805, skolem492(_u19806, _u19805, _u19804, _u19803))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19808)), _u19809) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19810)), _u19811)) | c_List_Olist__all2(_u19808, _u19810, _u19812, _u19809, _u19811) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem493(_u19812, _u19811, _u19810, _u19809, _u19808)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19808)), _u19809))) )).
% 12.21/12.43 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19808)), _u19809) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19810)), _u19811)) | c_List_Olist__all2(_u19808, _u19810, _u19812, _u19809, _u19811) | ~hBOOL(hAPP(hAPP(_u19812, hAPP(hAPP(c_List_Onth(_u19808), _u19809), skolem493(_u19812, _u19811, _u19810, _u19809, _u19808))), hAPP(hAPP(c_List_Onth(_u19810), _u19811), skolem493(_u19812, _u19811, _u19810, _u19809, _u19808)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | ( hAPP(c_List_Oset(_u19815), skolem494(_u19816, _u19815)) = _u19816) )).
% 12.21/12.43 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | c_List_Olinorder__class_Osorted(_u19815, skolem494(_u19816, _u19815)) )).
% 12.21/12.43 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | hBOOL(hAPP(c_List_Odistinct(_u19815), skolem494(_u19816, _u19815))) )).
% 12.21/12.43 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | ( hAPP(c_List_Oset(_u19815), _u19813) != _u19816) | ~c_List_Olinorder__class_Osorted(_u19815, _u19813) | ~hBOOL(hAPP(c_List_Odistinct(_u19815), _u19813)) | ( _u19813 = skolem494(_u19816, _u19815)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u19818, _u19820, hAPP(hAPP(c_List_Oappend(_u19818), _u19819), _u19821)) = hAPP(hAPP(c_List_Oappend(_u19818), _u19819), c_List_OtakeWhile(_u19818, _u19820, _u19821))) | hBOOL(hAPP(hAPP(c_member(_u19818), skolem495(_u19821, _u19820, _u19819, _u19818)), hAPP(c_List_Oset(_u19818), _u19819))) )).
% 12.21/12.43 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u19818, _u19820, hAPP(hAPP(c_List_Oappend(_u19818), _u19819), _u19821)) = hAPP(hAPP(c_List_Oappend(_u19818), _u19819), c_List_OtakeWhile(_u19818, _u19820, _u19821))) | ~hBOOL(hAPP(_u19820, skolem495(_u19821, _u19820, _u19819, _u19818))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u19823) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19824, _u19823, _u19826), _u19827), _u19825) = hAPP(hAPP(c_List_Olist_OCons(_u19824), _u19827), _u19825)) | hBOOL(hAPP(hAPP(c_member(_u19824), skolem496(_u19827, _u19826, _u19825, _u19824, _u19823)), hAPP(c_List_Oset(_u19824), _u19825))) )).
% 12.21/12.43 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u19823) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19824, _u19823, _u19826), _u19827), _u19825) = hAPP(hAPP(c_List_Olist_OCons(_u19824), _u19827), _u19825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19823), hAPP(_u19826, _u19827)), hAPP(_u19826, skolem496(_u19827, _u19826, _u19825, _u19824, _u19823)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | hBOOL(hAPP(_u19841, _u19845)) )).
% 12.21/12.43 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | ~hBOOL(hAPP(hAPP(c_member(_u19839), _u19828), hAPP(c_List_Oset(_u19839), skolem497(_u19847, _u19845, _u19843, _u19841, _u19839)))) | ~hBOOL(hAPP(_u19841, _u19828)) )).
% 12.21/12.43 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | ( _u19843 = hAPP(hAPP(c_List_Oappend(_u19839), skolem497(_u19847, _u19845, _u19843, _u19841, _u19839)), hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), skolem498(_u19847, _u19845, _u19843, _u19841, _u19839)))) )).
% 12.21/12.43 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | ( _u19847 = hAPP(c_List_Ofilter(_u19839, _u19841), skolem498(_u19847, _u19845, _u19843, _u19841, _u19839))) )).
% 12.21/12.43 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u19840, _u19842), _u19844) = hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19848)) | ~hBOOL(hAPP(_u19842, _u19846)) | ( _u19844 != hAPP(hAPP(c_List_Oappend(_u19840), _u19833), hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19832))) | ( _u19848 != hAPP(c_List_Ofilter(_u19840, _u19842), _u19832)) | hBOOL(hAPP(hAPP(c_member(_u19840), skolem499(_u19848, _u19846, _u19844, _u19842, _u19840, _u19833)), hAPP(c_List_Oset(_u19840), _u19833))) )).
% 12.21/12.43 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u19840, _u19842), _u19844) = hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19848)) | ~hBOOL(hAPP(_u19842, _u19846)) | ( _u19844 != hAPP(hAPP(c_List_Oappend(_u19840), _u19833), hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19832))) | ( _u19848 != hAPP(c_List_Ofilter(_u19840, _u19842), _u19832)) | hBOOL(hAPP(_u19842, skolem499(_u19848, _u19846, _u19844, _u19842, _u19840, _u19833))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | hBOOL(hAPP(_u19866, _u19862)) )).
% 12.21/12.43 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | ~hBOOL(hAPP(hAPP(c_member(_u19860), _u19849), hAPP(c_List_Oset(_u19860), skolem500(_u19868, _u19866, _u19864, _u19862, _u19860)))) | ~hBOOL(hAPP(_u19866, _u19849)) )).
% 12.21/12.43 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | ( _u19868 = hAPP(hAPP(c_List_Oappend(_u19860), skolem500(_u19868, _u19866, _u19864, _u19862, _u19860)), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), skolem501(_u19868, _u19866, _u19864, _u19862, _u19860)))) )).
% 12.21/12.43 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | ( _u19864 = hAPP(c_List_Ofilter(_u19860, _u19866), skolem501(_u19868, _u19866, _u19864, _u19862, _u19860))) )).
% 12.21/12.43 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19865) = hAPP(c_List_Ofilter(_u19861, _u19867), _u19869)) | ~hBOOL(hAPP(_u19867, _u19863)) | ( _u19869 != hAPP(hAPP(c_List_Oappend(_u19861), _u19854), hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19853))) | ( _u19865 != hAPP(c_List_Ofilter(_u19861, _u19867), _u19853)) | hBOOL(hAPP(hAPP(c_member(_u19861), skolem502(_u19869, _u19867, _u19865, _u19863, _u19861, _u19854)), hAPP(c_List_Oset(_u19861), _u19854))) )).
% 12.21/12.43 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19865) = hAPP(c_List_Ofilter(_u19861, _u19867), _u19869)) | ~hBOOL(hAPP(_u19867, _u19863)) | ( _u19869 != hAPP(hAPP(c_List_Oappend(_u19861), _u19854), hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19853))) | ( _u19865 != hAPP(c_List_Ofilter(_u19861, _u19867), _u19853)) | hBOOL(hAPP(_u19867, skolem502(_u19869, _u19867, _u19865, _u19863, _u19861, _u19854))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19872)), _u19873))) | hBOOL(hAPP(_u19874, hAPP(hAPP(c_List_Onth(_u19872), _u19873), _u19871))) | hBOOL(hAPP(hAPP(c_member(_u19872), skolem503(_u19874, _u19873, _u19872, _u19871)), hAPP(c_List_Oset(_u19872), _u19873))) )).
% 12.21/12.43 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19872)), _u19873))) | hBOOL(hAPP(_u19874, hAPP(hAPP(c_List_Onth(_u19872), _u19873), _u19871))) | ~hBOOL(hAPP(_u19874, skolem503(_u19874, _u19873, _u19872, _u19871))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u19876) | ~c_List_Olinorder__class_Osorted(_u19876, _u19877) | c_List_Olinorder__class_Osorted(_u19876, hAPP(hAPP(c_List_Olist_OCons(_u19876), _u19878), _u19877)) | hBOOL(hAPP(hAPP(c_member(_u19876), skolem504(_u19878, _u19877, _u19876)), hAPP(c_List_Oset(_u19876), _u19877))) )).
% 12.21/12.43 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u19876) | ~c_List_Olinorder__class_Osorted(_u19876, _u19877) | c_List_Olinorder__class_Osorted(_u19876, hAPP(hAPP(c_List_Olist_OCons(_u19876), _u19878), _u19877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19876), _u19878), skolem504(_u19878, _u19877, _u19876))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u19884, _u19886, _u19888) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem505(_u19888, _u19886, _u19884)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19884)), _u19888))) )).
% 12.21/12.43 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u19884, _u19886, _u19888) | hBOOL(hAPP(_u19886, hAPP(hAPP(c_List_Onth(_u19884), _u19888), skolem505(_u19888, _u19886, _u19884)))) )).
% 12.21/12.43 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19880), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19885)), _u19889))) | ~hBOOL(hAPP(_u19887, hAPP(hAPP(c_List_Onth(_u19885), _u19889), _u19880))) | c_List_Olist__ex(_u19885, _u19887, _u19889) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u19894, _u19896, hAPP(hAPP(c_List_Olist_OCons(_u19894), _u19898), _u19900)) | hBOOL(hAPP(_u19896, _u19898)) | c_List_Olist__ex(_u19894, _u19896, _u19900) )).
% 12.21/12.43 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u19895, _u19897, hAPP(hAPP(c_List_Olist_OCons(_u19895), _u19899), _u19901)) | ~hBOOL(hAPP(_u19897, _u19899)) )).
% 12.21/12.43 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u19895, _u19897, hAPP(hAPP(c_List_Olist_OCons(_u19895), _u19899), _u19901)) | ~c_List_Olist__ex(_u19895, _u19897, _u19901) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u19905, _u19907, hAPP(c_List_Orev(_u19905), _u19909)) | c_List_Olist__ex(_u19905, _u19907, _u19909) )).
% 12.21/12.43 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u19906, _u19908, _u19910) | c_List_Olist__ex(_u19906, _u19908, hAPP(c_List_Orev(_u19906), _u19910)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u19915, _u19917, hAPP(hAPP(c_List_Oappend(_u19915), _u19919), _u19921)) | c_List_Olist__ex(_u19915, _u19917, _u19919) | c_List_Olist__ex(_u19915, _u19917, _u19921) )).
% 12.21/12.43 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u19916, _u19918, hAPP(hAPP(c_List_Oappend(_u19916), _u19920), _u19922)) | ~c_List_Olist__ex(_u19916, _u19918, _u19920) )).
% 12.21/12.43 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u19916, _u19918, hAPP(hAPP(c_List_Oappend(_u19916), _u19920), _u19922)) | ~c_List_Olist__ex(_u19916, _u19918, _u19922) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u19928, _u19930, _u19932) | hBOOL(hAPP(hAPP(c_member(_u19928), skolem506(_u19932, _u19930, _u19928)), hAPP(c_List_Oset(_u19928), _u19932))) )).
% 12.21/12.43 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u19928, _u19930, _u19932) | hBOOL(hAPP(_u19930, skolem506(_u19932, _u19930, _u19928))) )).
% 12.21/12.43 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19929), _u19924), hAPP(c_List_Oset(_u19929), _u19933))) | ~hBOOL(hAPP(_u19931, _u19924)) | c_List_Olist__ex(_u19929, _u19931, _u19933) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u19934, _u19935, c_List_Olist_ONil(_u19934)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19943), _u19945), hAPP(c_List_Oset(_u19943), _u19947))) | ( _u19947 = hAPP(hAPP(c_List_Oappend(_u19943), skolem507(_u19947, _u19945, _u19943)), hAPP(hAPP(c_List_Olist_OCons(_u19943), _u19945), skolem508(_u19947, _u19945, _u19943)))) )).
% 12.21/12.43 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19943), _u19945), hAPP(c_List_Oset(_u19943), _u19947))) | ~hBOOL(hAPP(hAPP(c_member(_u19943), _u19945), hAPP(c_List_Oset(_u19943), skolem507(_u19947, _u19945, _u19943)))) )).
% 12.21/12.43 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u19948 != hAPP(hAPP(c_List_Oappend(_u19944), _u19939), hAPP(hAPP(c_List_Olist_OCons(_u19944), _u19946), _u19938))) | hBOOL(hAPP(hAPP(c_member(_u19944), _u19946), hAPP(c_List_Oset(_u19944), _u19939))) | hBOOL(hAPP(hAPP(c_member(_u19944), _u19946), hAPP(c_List_Oset(_u19944), _u19948))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), _u19960))) | ( _u19960 = hAPP(hAPP(c_List_Oappend(_u19956), skolem509(_u19960, _u19958, _u19956)), hAPP(hAPP(c_List_Olist_OCons(_u19956), _u19958), skolem510(_u19960, _u19958, _u19956)))) )).
% 12.21/12.43 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), _u19960))) | ~hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), skolem510(_u19960, _u19958, _u19956)))) )).
% 12.21/12.43 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u19961 != hAPP(hAPP(c_List_Oappend(_u19957), _u19952), hAPP(hAPP(c_List_Olist_OCons(_u19957), _u19959), _u19951))) | hBOOL(hAPP(hAPP(c_member(_u19957), _u19959), hAPP(c_List_Oset(_u19957), _u19951))) | hBOOL(hAPP(hAPP(c_member(_u19957), _u19959), hAPP(c_List_Oset(_u19957), _u19961))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19969), _u19971), hAPP(c_List_Oset(_u19969), _u19973))) | ( _u19973 = hAPP(hAPP(c_List_Oappend(_u19969), skolem511(_u19973, _u19971, _u19969)), hAPP(hAPP(c_List_Olist_OCons(_u19969), _u19971), skolem512(_u19973, _u19971, _u19969)))) )).
% 12.21/12.43 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u19974 != hAPP(hAPP(c_List_Oappend(_u19970), _u19965), hAPP(hAPP(c_List_Olist_OCons(_u19970), _u19972), _u19964))) | hBOOL(hAPP(hAPP(c_member(_u19970), _u19972), hAPP(c_List_Oset(_u19970), _u19974))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u19975, _u19976, _u19977) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u19975), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u19975), _u19976), hAPP(c_Nitpick_Odenom(_u19975), _u19977))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u19975), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u19975), tc_Int_Oint), c_Nitpick_Ofrac(_u19975)), 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(_u19975), _u19976))), 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(_u19975), _u19976))))), 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(_u19975), _u19977))), 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(_u19975), _u19977)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u19978, _u19979, _u19980) = hAPP(hAPP(c_Nitpick_Ofrac(_u19978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19978), _u19979)), hAPP(c_Nitpick_Onum(_u19978), _u19980))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u19978), _u19979)), hAPP(c_Nitpick_Odenom(_u19978), _u19980)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u19981) | ~class_Rings_Oring__1(_u19981) | ( c_Nitpick_Oof__frac(_u19982, _u19981, _u19983) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u19981), hAPP(c_Int_Oring__1__class_Oof__int(_u19981), hAPP(c_Nitpick_Onum(_u19982), _u19983))), hAPP(c_Int_Oring__1__class_Oof__int(_u19981), hAPP(c_Nitpick_Odenom(_u19982), _u19983)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u19984, _u19985) = hAPP(hAPP(c_Nitpick_Ofrac(_u19984), hAPP(c_Nitpick_Odenom(_u19984), _u19985)), hAPP(c_Nitpick_Onum(_u19984), _u19985))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u19986, _u19987) = c_Nitpick_OAbs__Frac(_u19986, 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(_u19986), _u19987))), hAPP(c_Nitpick_Odenom(_u19986), _u19987)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u19991, _u19993, _u19995) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19991), c_Nitpick_Oplus__frac(_u19991, _u19993, c_Nitpick_Ouminus__frac(_u19991, _u19995)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.43 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19992), c_Nitpick_Oplus__frac(_u19992, _u19994, c_Nitpick_Ouminus__frac(_u19992, _u19996)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u19992, _u19994, _u19996) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u20000, _u20002, _u20004) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20000), c_Nitpick_Oplus__frac(_u20000, _u20002, c_Nitpick_Ouminus__frac(_u20000, _u20004)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.43 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(_u20001), c_Nitpick_Oplus__frac(_u20001, _u20003, c_Nitpick_Ouminus__frac(_u20001, _u20005)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u20001, _u20003, _u20005) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u20006) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20006, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20006))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u20007) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20007, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20007))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u20009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20009), c_Groups_Ozero__class_Ozero(_u20009)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20010, _u20009), _u20012), _u20011))) | hBOOL(hAPP(hAPP(c_member(_u20010), skolem513(_u20012, _u20011, _u20010, _u20009)), _u20011)) )).
% 12.21/12.43 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u20009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20009), c_Groups_Ozero__class_Ozero(_u20009)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20010, _u20009), _u20012), _u20011))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20009), c_Groups_Ozero__class_Ozero(_u20009)), hAPP(_u20012, skolem513(_u20012, _u20011, _u20010, _u20009)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u20018, _u20020, _u20022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20013), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20018)), _u20022))) | hBOOL(hAPP(_u20020, hAPP(hAPP(c_List_Onth(_u20018), _u20022), _u20013))) )).
% 12.21/12.43 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u20019, _u20021, _u20023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem514(_u20023, _u20021, _u20019)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20019)), _u20023))) )).
% 12.21/12.43 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u20019, _u20021, _u20023) | ~hBOOL(hAPP(_u20021, hAPP(hAPP(c_List_Onth(_u20019), _u20023), skolem514(_u20023, _u20021, _u20019)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u20024, _u20025, c_List_Olist_ONil(_u20024)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u20031, _u20033, _u20035) | ~hBOOL(hAPP(hAPP(c_member(_u20031), _u20026), hAPP(c_List_Oset(_u20031), _u20035))) | hBOOL(hAPP(_u20033, _u20026)) )).
% 12.21/12.43 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u20032, _u20034, _u20036) | hBOOL(hAPP(hAPP(c_member(_u20032), skolem515(_u20036, _u20034, _u20032)), hAPP(c_List_Oset(_u20032), _u20036))) )).
% 12.21/12.43 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u20032, _u20034, _u20036) | ~hBOOL(hAPP(_u20034, skolem515(_u20036, _u20034, _u20032))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u20041, _u20043, hAPP(hAPP(c_List_Oappend(_u20041), _u20045), _u20047)) | c_List_Olist__all(_u20041, _u20043, _u20045) )).
% 12.21/12.43 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u20041, _u20043, hAPP(hAPP(c_List_Oappend(_u20041), _u20045), _u20047)) | c_List_Olist__all(_u20041, _u20043, _u20047) )).
% 12.21/12.43 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u20042, _u20044, _u20046) | ~c_List_Olist__all(_u20042, _u20044, _u20048) | c_List_Olist__all(_u20042, _u20044, hAPP(hAPP(c_List_Oappend(_u20042), _u20046), _u20048)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u20052, _u20054, hAPP(c_List_Orev(_u20052), _u20056)) | c_List_Olist__all(_u20052, _u20054, _u20056) )).
% 12.21/12.43 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u20053, _u20055, _u20057) | c_List_Olist__all(_u20053, _u20055, hAPP(c_List_Orev(_u20053), _u20057)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u20063, _u20067, _u20065) | hBOOL(hAPP(hAPP(c_member(_u20063), skolem516(_u20067, _u20065, _u20063)), hAPP(c_List_Oset(_u20063), _u20065))) )).
% 12.21/12.43 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u20063, _u20067, _u20065) | ~hBOOL(hAPP(_u20067, skolem516(_u20067, _u20065, _u20063))) )).
% 12.21/12.43 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u20064, _u20068, _u20066) | ~hBOOL(hAPP(hAPP(c_member(_u20064), _u20059), hAPP(c_List_Oset(_u20064), _u20066))) | hBOOL(hAPP(_u20068, _u20059)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u20073, _u20075, hAPP(hAPP(c_List_Olist_OCons(_u20073), _u20077), _u20079)) | hBOOL(hAPP(_u20075, _u20077)) )).
% 12.21/12.43 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u20073, _u20075, hAPP(hAPP(c_List_Olist_OCons(_u20073), _u20077), _u20079)) | c_List_Olist__all(_u20073, _u20075, _u20079) )).
% 12.21/12.43 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u20076, _u20078)) | ~c_List_Olist__all(_u20074, _u20076, _u20080) | c_List_Olist__all(_u20074, _u20076, hAPP(hAPP(c_List_Olist_OCons(_u20074), _u20078), _u20080)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u20086, _u20088, _u20090) | ~hBOOL(hAPP(hAPP(c_member(_u20086), _u20081), hAPP(c_List_Oset(_u20086), _u20090))) | hBOOL(hAPP(_u20088, _u20081)) )).
% 12.21/12.43 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u20087, _u20089, _u20091) | hBOOL(hAPP(hAPP(c_member(_u20087), skolem517(_u20091, _u20089, _u20087)), hAPP(c_List_Oset(_u20087), _u20091))) )).
% 12.21/12.43 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u20087, _u20089, _u20091) | ~hBOOL(hAPP(_u20089, skolem517(_u20091, _u20089, _u20087))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u20096, _u20098, hAPP(hAPP(c_List_Olist_OCons(_u20096), _u20100), _u20102)) | ~hBOOL(hAPP(_u20098, _u20100)) | c_List_Olist__all(_u20096, hAPP(hAPP(c_COMBS(_u20096, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20096), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20096), c_fNot), _u20098))), hAPP(c_fequal, _u20100)), _u20102) )).
% 12.21/12.43 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u20096, _u20098, hAPP(hAPP(c_List_Olist_OCons(_u20096), _u20100), _u20102)) | hBOOL(hAPP(_u20098, _u20100)) | c_List_Olist__ex1(_u20096, _u20098, _u20102) )).
% 12.21/12.43 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u20097, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20101), _u20103)) | hBOOL(hAPP(_u20099, _u20101)) | ~c_List_Olist__ex1(_u20097, _u20099, _u20103) )).
% 12.21/12.43 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u20097, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20101), _u20103)) | ~c_List_Olist__all(_u20097, hAPP(hAPP(c_COMBS(_u20097, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20097), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20097), c_fNot), _u20099))), hAPP(c_fequal, _u20101)), _u20103) | ~hBOOL(hAPP(_u20099, _u20101)) )).
% 12.21/12.43 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u20097, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20101), _u20103)) | ~c_List_Olist__all(_u20097, hAPP(hAPP(c_COMBS(_u20097, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20097), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20097), c_fNot), _u20099))), hAPP(c_fequal, _u20101)), _u20103) | ~c_List_Olist__ex1(_u20097, _u20099, _u20103) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u20104, _u20105, _u20106) = c_Product__Type_Oprod_Oprod__case(_u20104, _u20105, _u20106)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_exists1__code ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_exists1__code-1, axiom, ( ~class_Enum_Oenum(_u20111) | c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | ~hBOOL(hAPP(_u20112, _u20108)) | hBOOL(hAPP(_u20112, skolem518(_u20112, _u20111, _u20108))) )).
% 12.21/12.43 cnf(fact_exists1__code-2, axiom, ( ~class_Enum_Oenum(_u20111) | c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | ~hBOOL(hAPP(_u20112, _u20108)) | ( skolem518(_u20112, _u20111, _u20108) != _u20108) )).
% 12.21/12.43 cnf(fact_exists1__code-3, axiom, ( ~class_Enum_Oenum(_u20111) | ~c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | hBOOL(hAPP(_u20112, skolem519(_u20112, _u20111))) )).
% 12.21/12.43 cnf(fact_exists1__code-4, axiom, ( ~class_Enum_Oenum(_u20111) | ~c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | ~hBOOL(hAPP(_u20112, _u20109)) | ( _u20109 = skolem519(_u20112, _u20111)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u20113, _u20114, c_List_Olist_ONil(_u20113)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u20115, _u20116, _u20117), _u20118), hAPP(hAPP(c_Product__Type_OPair(_u20115, _u20116), _u20119), _u20120)) = hAPP(hAPP(_u20118, _u20119), _u20120)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u20128, _u20130, _u20132) | hBOOL(hAPP(hAPP(c_member(_u20128), skolem520(_u20132, _u20130, _u20128)), hAPP(c_List_Oset(_u20128), _u20132))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u20128, _u20130, _u20132) | hBOOL(hAPP(_u20130, skolem520(_u20132, _u20130, _u20128))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u20128, _u20130, _u20132) | ~hBOOL(hAPP(hAPP(c_member(_u20128), _u20121), hAPP(c_List_Oset(_u20128), _u20132))) | ~hBOOL(hAPP(_u20130, _u20121)) | ( _u20121 = skolem520(_u20132, _u20130, _u20128)) )).
% 12.21/12.43 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u20129, _u20131, _u20133) | ~hBOOL(hAPP(hAPP(c_member(_u20129), _u20124), hAPP(c_List_Oset(_u20129), _u20133))) | ~hBOOL(hAPP(_u20131, _u20124)) | hBOOL(hAPP(hAPP(c_member(_u20129), skolem521(_u20133, _u20131, _u20129, _u20124)), hAPP(c_List_Oset(_u20129), _u20133))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u20129, _u20131, _u20133) | ~hBOOL(hAPP(hAPP(c_member(_u20129), _u20124), hAPP(c_List_Oset(_u20129), _u20133))) | ~hBOOL(hAPP(_u20131, _u20124)) | hBOOL(hAPP(_u20131, skolem521(_u20133, _u20131, _u20129, _u20124))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u20129, _u20131, _u20133) | ~hBOOL(hAPP(hAPP(c_member(_u20129), _u20124), hAPP(c_List_Oset(_u20129), _u20133))) | ~hBOOL(hAPP(_u20131, _u20124)) | ( skolem521(_u20133, _u20131, _u20129, _u20124) != _u20124) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u20135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20135), c_Groups_Ozero__class_Ozero(_u20135)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20136, _u20135), _u20138), _u20137))) | hBOOL(hAPP(hAPP(c_member(_u20136), skolem522(_u20138, _u20137, _u20136, _u20135)), _u20137)) )).
% 12.21/12.43 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u20135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20135), c_Groups_Ozero__class_Ozero(_u20135)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20136, _u20135), _u20138), _u20137))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20135), c_Groups_Ozero__class_Ozero(_u20135)), hAPP(_u20138, skolem522(_u20138, _u20137, _u20136, _u20135)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem523(_u20141, _u20140)), hAPP(_u20140, skolem523(_u20141, _u20140)))) | 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)), _u20140)), _u20141)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), skolem525(_u20146, _u20145, _u20144))) )).
% 12.21/12.43 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | ~hBOOL(hAPP(hAPP(c_member(_u20144), skolem524(_u20146, _u20145, _u20144)), skolem525(_u20146, _u20145, _u20144))) )).
% 12.21/12.43 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | hBOOL(hAPP(_u20146, skolem525(_u20146, _u20145, _u20144))) )).
% 12.21/12.43 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | ~hBOOL(hAPP(_u20146, hAPP(hAPP(c_Set_Oinsert(_u20144), skolem524(_u20146, _u20145, _u20144)), skolem525(_u20146, _u20145, _u20144)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measure__function__int-1, axiom, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equal__fun__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equal__fun__def-1, axiom, ( ~class_HOL_Oequal(_u20149) | ~class_Enum_Oenum(_u20150) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20150, _u20149)), _u20151), _u20152)) | ~hBOOL(hAPP(hAPP(c_member(_u20150), _u20147), hAPP(c_List_Oset(_u20150), c_Enum_Oenum__class_Oenum(_u20150)))) | ( hAPP(_u20151, _u20147) = hAPP(_u20152, _u20147)) )).
% 12.21/12.43 cnf(fact_equal__fun__def-2, axiom, ( ~class_HOL_Oequal(_u20149) | ~class_Enum_Oenum(_u20150) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20150, _u20149)), _u20151), _u20152)) | hBOOL(hAPP(hAPP(c_member(_u20150), skolem526(_u20152, _u20151, _u20150, _u20149)), hAPP(c_List_Oset(_u20150), c_Enum_Oenum__class_Oenum(_u20150)))) )).
% 12.21/12.43 cnf(fact_equal__fun__def-3, axiom, ( ~class_HOL_Oequal(_u20149) | ~class_Enum_Oenum(_u20150) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20150, _u20149)), _u20151), _u20152)) | ( hAPP(_u20151, skolem526(_u20152, _u20151, _u20150, _u20149)) != hAPP(_u20152, skolem526(_u20152, _u20151, _u20150, _u20149))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u20153, _u20154) | c_FunDef_Ois__measure(tc_prod(_u20155, _u20153), hAPP(hAPP(c_COMBB(_u20153, tc_Nat_Onat, tc_prod(_u20155, _u20153)), _u20154), c_Product__Type_Osnd(_u20155, _u20153))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u20156, _u20157) | c_FunDef_Ois__measure(tc_prod(_u20156, _u20158), hAPP(hAPP(c_COMBB(_u20156, tc_Nat_Onat, tc_prod(_u20156, _u20158)), _u20157), c_Product__Type_Ofst(_u20156, _u20158))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u20159) | c_FunDef_Ois__measure(_u20159, c_Nat_Osize__class_Osize(_u20159)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__equal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__equal-1, axiom, ( ~class_HOL_Oequal(_u20160) | ( c_fequal = c_HOL_Oequal__class_Oequal(_u20160)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equal__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equal__eq-1, axiom, ( ~class_HOL_Oequal(_u20161) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20161), _u20162), _u20163)) | ( _u20162 = _u20163) )).
% 12.21/12.43 cnf(fact_equal__eq-2, axiom, ( ~class_HOL_Oequal(_u20161) | ( _u20162 != _u20163) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20161), _u20162), _u20163)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equal__refl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equal__refl-1, axiom, ( ~class_HOL_Oequal(_u20164) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20164), _u20165), _u20165)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equal-1, axiom, ( ~class_HOL_Oequal(_u20166) | ( c_HOL_Oequal__class_Oequal(_u20166) = c_fequal) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u20167, _u20168) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u20169, _u20170) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u20171, _u20172) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_transfer__morphism__int__nat-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u20178 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u20180, _u20182, _u20184, _u20186), _u20178) = c_Lazy__Sequence_Oempty(_u20182)) )).
% 12.21/12.43 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u20179 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u20181, _u20183, _u20185, _u20187), _u20179) = hAPP(c_Lazy__Sequence_Obind(_u20181, _u20183, hAPP(_u20185, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20179), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u20181, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20183)), _u20187), _u20179))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_equal__int__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_equal__int__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20190), _u20192)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20190), _u20192) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.43 cnf(fact_equal__int__def-2, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20191), _u20193) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20191), _u20193)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 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)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20196)), c_Int_OBit1(_u20198))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20196), _u20198)) )).
% 12.21/12.43 cnf(fact_eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20197), _u20199)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20197)), c_Int_OBit1(_u20199))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__number__of__int__code ( axiom ) converted to clauses:
% 12.21/12.43 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), _u20202)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20204))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20202), _u20204)) )).
% 12.21/12.43 cnf(fact_eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20203), _u20205)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20203)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20205))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20208)), c_Int_OBit0(_u20210))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20208), _u20210)) )).
% 12.21/12.43 cnf(fact_eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20209), _u20211)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20209)), c_Int_OBit0(_u20211))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I6_J ( axiom ) converted to clauses:
% 12.21/12.43 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)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20212)), c_Int_OBit0(_u20213))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20214)), c_Int_OBit1(_u20215))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I9_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20217)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20217), c_Int_OPls)) )).
% 12.21/12.43 cnf(fact_eq__int__code_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20218), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20218)), c_Int_OPls)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I3_J ( axiom ) converted to clauses:
% 12.21/12.43 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(_u20220))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20220)) )).
% 12.21/12.43 cnf(fact_eq__int__code_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20221)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20221))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I10_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20222)), c_Int_OPls)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I4_J ( axiom ) converted to clauses:
% 12.21/12.43 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(_u20223))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I11_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20224)), c_Int_OMin)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I7_J ( axiom ) converted to clauses:
% 12.21/12.43 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(_u20225))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I12_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__code_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20227)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20227), c_Int_OMin)) )).
% 12.21/12.43 cnf(fact_eq__int__code_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20228), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20228)), c_Int_OMin)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I8_J ( axiom ) converted to clauses:
% 12.21/12.43 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(_u20230))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20230)) )).
% 12.21/12.43 cnf(fact_eq__int__code_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20231)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20231))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 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)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__code_I5_J ( axiom ) converted to clauses:
% 12.21/12.43 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)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bool_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_bool_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u20232, _u20233, _u20234, _u20235, _u20236, _u20237, _u20238) = c_New__DSequence_Opos__decr__bind(_u20232, _u20233, hAPP(hAPP(hAPP(_u20234, _u20236), _u20237), _u20238), hAPP(hAPP(c_COMBC(_u20232, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20233))), hAPP(hAPP(c_COMBC(_u20232, 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(_u20233)))), hAPP(hAPP(c_COMBC(_u20232, 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(_u20233))))), _u20235), _u20236)), _u20237)), _u20238))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u20239), _u20240) = c_Lazy__Sequence_Oempty(_u20239)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__int__refl ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__int__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20241), _u20241)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u20242, _u20243, _u20244, _u20245) = c_New__DSequence_Opos__empty(_u20242)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u20246, _u20247, _u20248, _u20249), _u20250) = hAPP(c_Lazy__Sequence_Obind(_u20246, _u20247, hAPP(_u20248, _u20250)), hAPP(hAPP(c_COMBC(_u20246, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20247)), _u20249), _u20250))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u20251, _u20252, _u20253, _u20254), _u20255), _u20256), _u20257) = c_New__DSequence_Opos__bind(_u20251, _u20252, hAPP(hAPP(hAPP(_u20253, _u20255), _u20256), _u20257), hAPP(hAPP(c_COMBC(_u20251, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20252))), hAPP(hAPP(c_COMBC(_u20251, 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(_u20252)))), hAPP(hAPP(c_COMBC(_u20251, 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(_u20252))))), _u20254), _u20255)), _u20256)), _u20257))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_size__code ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20258)), _u20259) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20258, tc_Lazy__Sequence_Olazy__sequence(_u20258)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20258, tc_Lazy__Sequence_Olazy__sequence(_u20258), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20258), tc_Nat_Onat), _u20258), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20258), 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(_u20258)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20258)))), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), hAPP(c_Lazy__Sequence_Oyield(_u20258), _u20259))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20260, _u20261), _u20262) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20260, tc_Lazy__Sequence_Olazy__sequence(_u20260)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20260, tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20260, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), _u20260), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20260), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20260)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20260, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), _u20260), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20260))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20260), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20261))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20260, _u20261))))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20260), _u20262))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20263, _u20264, _u20265, _u20266, _u20267) = hAPP(c_Option_Ooption_Ooption__case(_u20263, tc_prod(_u20264, tc_Lazy__Sequence_Olazy__sequence(_u20264)), _u20265, hAPP(c_Product__Type_Oprod_Oprod__case(_u20264, tc_Lazy__Sequence_Olazy__sequence(_u20264), _u20263), _u20266)), hAPP(c_Lazy__Sequence_Oyield(_u20264), _u20267))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u20268) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20268), _u20268, c_Lazy__Sequence_Oyield(_u20268))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20269, _u20270), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20269, _u20271, _u20272)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20270, _u20271)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20269, _u20270), _u20272))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20273, _u20274, _u20275, _u20276, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20274, _u20277, _u20278)) = hAPP(hAPP(_u20276, _u20277), _u20278)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20286, _u20288) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20290, _u20292)) | ( _u20286 = _u20290) )).
% 12.21/12.43 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20286, _u20288) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20290, _u20292)) | ( _u20288 = _u20292) )).
% 12.21/12.43 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u20287 != _u20291) | ( _u20289 != _u20293) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20285, _u20287, _u20289) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20285, _u20291, _u20293)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__01 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__01-1, axiom, ( ( hAPP(c_Lazy__Sequence_Oyield(_u20294), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20294, _u20295, _u20296)) = hAPP(c_Option_Ooption_OSome(tc_prod(_u20294, tc_Lazy__Sequence_Olazy__sequence(_u20294))), hAPP(hAPP(c_Product__Type_OPair(_u20294, tc_Lazy__Sequence_Olazy__sequence(_u20294)), _u20295), _u20296))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20297)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20297, _u20298, _u20299)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20297)), _u20299)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u20300, _u20301, _u20302, _u20303) = c_New__Random__Sequence_Opos__bind(_u20300, _u20301, _u20303, hAPP(c_Fun_Ocomp(_u20301, 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(_u20301))))), _u20300, c_New__Random__Sequence_Opos__single(_u20301)), _u20302))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u20309 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20311, _u20313, _u20315, _u20317), _u20309) = c_Lazy__Sequence_Ohit__bound(_u20313)) )).
% 12.21/12.43 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u20310 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20312, _u20314, _u20316, _u20318), _u20310) = c_Lazy__Sequence_Ohb__bind(_u20312, _u20314, hAPP(_u20316, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20310), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u20312, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20314))), _u20318), _u20310))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u20319, _u20320, _u20321, _u20322, _u20323, _u20324, _u20325) = c_New__DSequence_Oneg__decr__bind(_u20319, _u20320, hAPP(hAPP(hAPP(_u20321, _u20323), _u20324), _u20325), hAPP(hAPP(c_COMBC(_u20319, 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(_u20320)))), hAPP(hAPP(c_COMBC(_u20319, 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(_u20320))))), hAPP(hAPP(c_COMBC(_u20319, 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(_u20320)))))), _u20322), _u20323)), _u20324)), _u20325))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u20326), _u20327), _u20328), _u20329), _u20330) = c_New__DSequence_Opos__single(_u20326, _u20327)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u20331, _u20332), _u20333) = hAPP(c_Lazy__Sequence_Osingle(_u20331), _u20332)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u20334, _u20335, _u20336, _u20337), _u20338) = c_Lazy__Sequence_Ohb__bind(_u20334, _u20335, hAPP(_u20336, _u20338), hAPP(hAPP(c_COMBC(_u20334, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20335))), _u20337), _u20338))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u20339, _u20340, _u20341, _u20342), _u20343), _u20344), _u20345) = c_New__DSequence_Oneg__bind(_u20339, _u20340, hAPP(hAPP(hAPP(_u20341, _u20343), _u20344), _u20345), hAPP(hAPP(c_COMBC(_u20339, 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(_u20340)))), hAPP(hAPP(c_COMBC(_u20339, 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(_u20340))))), hAPP(hAPP(c_COMBC(_u20339, 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(_u20340)))))), _u20342), _u20343)), _u20344)), _u20345))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__02 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u20346, _u20347, _u20348, _u20349) = hAPP(c_Lazy__Sequence_Obind(_u20346, tc_prod(_u20346, _u20347), _u20348), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347)), _u20346), c_Lazy__Sequence_Obind(_u20347, tc_prod(_u20346, _u20347), _u20349)), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_prod(_u20346, _u20347)), tc_fun(_u20347, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347))), _u20346), hAPP(c_COMBB(tc_prod(_u20346, _u20347), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347)), _u20347), c_Lazy__Sequence_Osingle(tc_prod(_u20346, _u20347)))), c_Product__Type_OPair(_u20346, _u20347))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u20350, _u20351, _u20352, _u20353) = c_New__Random__Sequence_Oneg__bind(_u20350, _u20351, _u20353, hAPP(c_Fun_Ocomp(_u20351, 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(_u20351)))))), _u20350, c_New__Random__Sequence_Oneg__single(_u20351)), _u20352))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20354) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20354), _u20355) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u20354), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u20354)), c_List_Olist_ONil(_u20354)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u20355)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u20354, tc_List_Olist(_u20354)), tc_List_Olist(_u20354), c_Lazy__Sequence_Oproduct(_u20354, tc_List_Olist(_u20354), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20354, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20355), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20354), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20355), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u20354, tc_List_Olist(_u20354), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20354), tc_List_Olist(_u20354)), tc_fun(tc_List_Olist(_u20354), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354))), _u20354), hAPP(c_COMBB(tc_List_Olist(_u20354), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354)), tc_List_Olist(_u20354)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u20354)))), c_List_Olist_OCons(_u20354))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u20354))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20356) | ~class_Lazy__Sequence_Osmall__lazy(_u20357) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u20356, _u20357), _u20358) = c_Lazy__Sequence_Oproduct(_u20356, _u20357, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20356, _u20358), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20357, _u20358))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__03 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__03-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20359, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20359, _u20360, _u20361), _u20362) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20359, _u20360, c_Lazy__Sequence_Oappend(_u20359, _u20361, _u20362))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u20363), _u20364), _u20365), _u20366), _u20367) = c_New__DSequence_Oneg__single(_u20363, _u20364)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u20368, _u20369, _u20370), _u20371) = c_Lazy__Sequence_Oappend(_u20368, hAPP(_u20369, _u20371), hAPP(_u20370, _u20371))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u20372, _u20373), _u20374) = c_Lazy__Sequence_Ohb__single(_u20372, _u20373)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u20375, _u20376, _u20377, _u20378, _u20379, _u20380) = c_New__DSequence_Opos__union(_u20375, hAPP(hAPP(hAPP(_u20376, _u20378), _u20379), _u20380), hAPP(hAPP(hAPP(_u20377, _u20378), _u20379), _u20380))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20383), _u20385)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20383, _u20385) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.21/12.43 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20384), _u20386)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20384, _u20386) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20386), c_Lazy__Sequence_Osmall__lazy_H(_u20384, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20386), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_small__lazy_H_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20387), _u20388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20387), _u20388)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20387, _u20388) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.21/12.43 cnf(fact_small__lazy_H_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20387), _u20388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20387), _u20388)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20387, _u20388) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20388), c_Lazy__Sequence_Osmall__lazy_H(_u20387, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20388), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u20389) = c_Lazy__Sequence_Osmall__lazy_H(_u20389, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u20389))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_small__lazy_H_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20392), _u20393))) | hBOOL(hAPP(hAPP(_u20394, _u20392), _u20393)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem527(_u20394, _u20393, _u20392)), skolem528(_u20394, _u20393, _u20392)))) )).
% 12.21/12.43 cnf(fact_small__lazy_H_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20392), _u20393))) | hBOOL(hAPP(hAPP(_u20394, _u20392), _u20393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem527(_u20394, _u20393, _u20392)), skolem528(_u20394, _u20393, _u20392))) | hBOOL(hAPP(hAPP(_u20394, skolem527(_u20394, _u20393, _u20392)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem528(_u20394, _u20393, _u20392)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.43 cnf(fact_small__lazy_H_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20392), _u20393))) | hBOOL(hAPP(hAPP(_u20394, _u20392), _u20393)) | ~hBOOL(hAPP(hAPP(_u20394, skolem527(_u20394, _u20393, _u20392)), skolem528(_u20394, _u20393, _u20392))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_hb__flat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_hb__flat_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Ohb__flat(_u20395, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395))), _u20396, _u20397)) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(_u20395), hAPP(c_Option_Ooption_Ooption__case(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395)), tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395)), c_Lazy__Sequence_Ohit__bound(_u20395), c_COMBI(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395)))), _u20396), c_Lazy__Sequence_Ohb__flat(_u20395, _u20397))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Oneg__union__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Oneg__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__union(_u20398, _u20399, _u20400), _u20401) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(_u20398), hAPP(_u20399, _u20401), hAPP(_u20400, _u20401))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_hb__bind__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_hb__bind__def-1, axiom, ( ( c_Lazy__Sequence_Ohb__bind(_u20402, _u20403, _u20404, _u20405) = c_Lazy__Sequence_Ohb__flat(_u20403, c_Lazy__Sequence_Ohb__map(_u20402, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20403)), _u20405, _u20404))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_hb__map_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_hb__map_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Ohb__map(_u20406, _u20407, _u20408, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(_u20406), _u20409, _u20410)) = c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(_u20407), hAPP(hAPP(c_Option_Omap(_u20406, _u20407), _u20408), _u20409), c_Lazy__Sequence_Ohb__map(_u20406, _u20407, _u20408, _u20410))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_neg__union__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_neg__union__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__union(_u20411, _u20412, _u20413, _u20414, _u20415, _u20416) = c_New__DSequence_Oneg__union(_u20411, hAPP(hAPP(hAPP(_u20412, _u20414), _u20415), _u20416), hAPP(hAPP(hAPP(_u20413, _u20414), _u20415), _u20416))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_New__DSequence_Oneg__map__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_New__DSequence_Oneg__map__def-1, axiom, ( ( c_New__DSequence_Oneg__map(_u20417, _u20418, _u20419, _u20420, _u20421) = c_Lazy__Sequence_Ohb__map(_u20417, _u20418, _u20419, hAPP(_u20420, _u20421))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20422)), c_List_Osplice(_u20422, _u20423, _u20424)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20422)), _u20423)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20422)), _u20424))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u20427, hAPP(c_Set_OCollect(tc_prod(_u20427, _u20427)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20427, _u20427, tc_HOL_Obool), c_Predicate_Oconversep(_u20427, _u20427, _u20429)))) | c_Wellfounded_Oacyclic(_u20427, hAPP(c_Set_OCollect(tc_prod(_u20427, _u20427)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20427, _u20427, tc_HOL_Obool), _u20429))) )).
% 12.21/12.43 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u20428, hAPP(c_Set_OCollect(tc_prod(_u20428, _u20428)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20428, _u20428, tc_HOL_Obool), _u20430))) | c_Wellfounded_Oacyclic(_u20428, hAPP(c_Set_OCollect(tc_prod(_u20428, _u20428)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20428, _u20428, tc_HOL_Obool), c_Predicate_Oconversep(_u20428, _u20428, _u20430)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u20431, c_List_Olist_ONil(_u20431), _u20432) = _u20432) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u20433, _u20434, c_List_Olist_ONil(_u20433)) = _u20434) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u20435, _u20436, c_Predicate_Opred__comp(_u20435, _u20437, _u20436, _u20438, _u20439)) = c_Predicate_Opred__comp(_u20436, _u20437, _u20435, c_Predicate_Oconversep(_u20437, _u20436, _u20439), c_Predicate_Oconversep(_u20435, _u20437, _u20438))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep__noteq-1, axiom, ( ( _u20445 != _u20447) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20443, _u20443, hAPP(hAPP(c_COMBB(tc_fun(_u20443, tc_HOL_Obool), tc_fun(_u20443, tc_HOL_Obool), _u20443), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20443), c_fNot)), c_fequal)), _u20445), _u20447)) )).
% 12.21/12.43 cnf(fact_conversep__noteq-2, axiom, ( ( _u20446 = _u20448) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20444, _u20444, hAPP(hAPP(c_COMBB(tc_fun(_u20444, tc_HOL_Obool), tc_fun(_u20444, tc_HOL_Obool), _u20444), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20444), c_fNot)), c_fequal)), _u20446), _u20448)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u20451, _u20453), _u20452)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20449, _u20450, _u20451), _u20452), _u20453)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20454, _u20455), _u20456)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20457, _u20458, _u20454), _u20456), _u20455)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u20468, _u20472), _u20470)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20464, _u20466, _u20468), _u20470), _u20472)) )).
% 12.21/12.43 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20469, _u20473), _u20471)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20465, _u20467, _u20469), _u20471), _u20473)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u20483, _u20487), _u20485)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20479, _u20481, _u20483), _u20485), _u20487)) )).
% 12.21/12.43 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20484, _u20488), _u20486)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20480, _u20482, _u20484), _u20486), _u20488)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u20489, _u20490, c_Predicate_Oconversep(_u20490, _u20489, _u20491)) = _u20491) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u20492, _u20492, c_fequal) = c_fequal) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u20493, _u20494, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20493, tc_fun(_u20494, tc_HOL_Obool))), _u20495), _u20496)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20494, tc_fun(_u20493, tc_HOL_Obool))), c_Predicate_Oconversep(_u20493, _u20494, _u20495)), c_Predicate_Oconversep(_u20493, _u20494, _u20496))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u20497, _u20498, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20497, tc_fun(_u20498, tc_HOL_Obool))), _u20499), _u20500)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20498, tc_fun(_u20497, tc_HOL_Obool))), c_Predicate_Oconversep(_u20497, _u20498, _u20499)), c_Predicate_Oconversep(_u20497, _u20498, _u20500))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u20501, hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20502), _u20503), hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20504), _u20505)) = hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20502), hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20504), c_List_Osplice(_u20501, _u20503, _u20505)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20511, _u20513, hAPP(hAPP(c_COMBC(_u20511, tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_fun(_u20513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20513, tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_fun(_u20513, tc_HOL_Obool)), _u20511), c_COMBC(_u20513, tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20513, tc_prod(_u20511, _u20513)), tc_fun(_u20513, tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool)), _u20511), hAPP(c_COMBB(tc_prod(_u20511, _u20513), tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool), _u20513), c_member(tc_prod(_u20511, _u20513)))), c_Product__Type_OPair(_u20511, _u20513)))), _u20515)), _u20517), _u20519)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20513, _u20511)), hAPP(hAPP(c_Product__Type_OPair(_u20513, _u20511), _u20517), _u20519)), hAPP(c_Relation_Oconverse(_u20511, _u20513), _u20515))) )).
% 12.21/12.43 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20514, _u20512)), hAPP(hAPP(c_Product__Type_OPair(_u20514, _u20512), _u20518), _u20520)), hAPP(c_Relation_Oconverse(_u20512, _u20514), _u20516))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20512, _u20514, hAPP(hAPP(c_COMBC(_u20512, tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_fun(_u20514, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20514, tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_fun(_u20514, tc_HOL_Obool)), _u20512), c_COMBC(_u20514, tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20514, tc_prod(_u20512, _u20514)), tc_fun(_u20514, tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool)), _u20512), hAPP(c_COMBB(tc_prod(_u20512, _u20514), tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool), _u20514), c_member(tc_prod(_u20512, _u20514)))), c_Product__Type_OPair(_u20512, _u20514)))), _u20516)), _u20518), _u20520)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u20521, hAPP(hAPP(c_List_Olist_OCons(_u20521), _u20522), _u20523), c_List_Olist_ONil(_u20521)) = hAPP(hAPP(c_List_Olist_OCons(_u20521), _u20522), _u20523)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_tl__replicate-1, axiom, ( ( _u20524 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u20525), c_List_Oreplicate(_u20525, _u20524, _u20526)) = c_List_Oreplicate(_u20525, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20524), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20526)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u20527, _u20527, _u20527, c_fequal, c_Predicate_Opred__comp(_u20527, _u20527, _u20527, _u20528, c_fequal)) = _u20528) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20529), c_List_Oreplicate(_u20529, _u20530, _u20531)), hAPP(hAPP(c_List_Olist_OCons(_u20529), _u20531), c_List_Olist_ONil(_u20529))) = hAPP(hAPP(c_List_Olist_OCons(_u20529), _u20531), c_List_Oreplicate(_u20529, _u20530, _u20531))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20532, _u20533), hAPP(c_COMBK(_u20533, _u20532), _u20534)), _u20535) = c_List_Oreplicate(_u20533, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20532)), _u20535), _u20534)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u20536, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20536)), hAPP(c_List_Ofilter(_u20536, hAPP(c_fequal, _u20537)), _u20538)), _u20537) = hAPP(c_List_Ofilter(_u20536, hAPP(c_fequal, _u20537)), _u20538)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20539)), c_List_Oreplicate(_u20539, _u20540, _u20541)) = _u20540) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u20542, hAPP(c_Nat_OSuc, _u20543), _u20544) = hAPP(hAPP(c_List_Olist_OCons(_u20542), _u20544), c_List_Oreplicate(_u20542, _u20543, _u20544))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20545), c_List_Oreplicate(_u20545, _u20546, _u20547)), hAPP(hAPP(c_List_Olist_OCons(_u20545), _u20547), _u20548)) = hAPP(hAPP(c_List_Olist_OCons(_u20545), _u20547), hAPP(hAPP(c_List_Oappend(_u20545), c_List_Oreplicate(_u20545, _u20546, _u20547)), _u20548))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u20549), c_List_Oreplicate(_u20549, _u20550, _u20551)) = c_List_Oreplicate(_u20549, _u20550, _u20551)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u20552, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20553), _u20554), _u20555) = hAPP(hAPP(c_List_Oappend(_u20552), c_List_Oreplicate(_u20552, _u20553, _u20555)), c_List_Oreplicate(_u20552, _u20554, _u20555))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20556), c_List_Oreplicate(_u20556, _u20557, _u20558)), c_List_Oreplicate(_u20556, _u20559, _u20558)) = hAPP(hAPP(c_List_Oappend(_u20556), c_List_Oreplicate(_u20556, _u20559, _u20558)), c_List_Oreplicate(_u20556, _u20557, _u20558))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_last__replicate-1, axiom, ( ( _u20560 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u20561, c_List_Oreplicate(_u20561, _u20560, _u20562)) = _u20562) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u20563), _u20564), c_List_Oreplicate(_u20563, _u20565, _u20566)) = c_List_Oreplicate(_u20563, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u20564), _u20565), _u20566)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_hd__replicate-1, axiom, ( ( _u20567 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u20568), c_List_Oreplicate(_u20568, _u20567, _u20569)) = _u20569) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u20570), _u20571), c_List_Oreplicate(_u20570, _u20572, _u20573)) = c_List_Oreplicate(_u20570, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20572), _u20571), _u20573)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20574), _u20575)) | ( hAPP(hAPP(c_List_Onth(_u20576), c_List_Oreplicate(_u20576, _u20575, _u20577)), _u20574) = _u20577) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u20583, _u20585, _u20587) != c_List_Oreplicate(_u20583, _u20589, _u20591)) | ( _u20585 = _u20589) )).
% 12.21/12.43 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u20583, _u20585, _u20587) != c_List_Oreplicate(_u20583, _u20589, _u20591)) | ( _u20585 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u20587 = _u20591) )).
% 12.21/12.43 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u20584, _u20586, _u20588) = c_List_Oreplicate(_u20584, _u20590, _u20592)) | ( _u20586 != _u20590) | ( _u20586 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u20584, _u20586, _u20588) = c_List_Oreplicate(_u20584, _u20590, _u20592)) | ( _u20586 != _u20590) | ( _u20588 != _u20592) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20599), _u20593), hAPP(c_List_Oset(_u20599), c_List_Oreplicate(_u20599, _u20601, _u20603)))) | ~hBOOL(hAPP(_u20605, _u20593)) | hBOOL(hAPP(_u20605, _u20603)) )).
% 12.21/12.43 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20599), _u20593), hAPP(c_List_Oset(_u20599), c_List_Oreplicate(_u20599, _u20601, _u20603)))) | ~hBOOL(hAPP(_u20605, _u20593)) | ( _u20601 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u20606, _u20604)) | ( _u20602 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20600), skolem529(_u20606, _u20604, _u20602, _u20600)), hAPP(c_List_Oset(_u20600), c_List_Oreplicate(_u20600, _u20602, _u20604)))) )).
% 12.21/12.43 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u20606, _u20604)) | ( _u20602 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u20606, skolem529(_u20606, _u20604, _u20602, _u20600))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u20619, _u20617)) | ( _u20615 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20613), skolem530(_u20619, _u20617, _u20615, _u20613)), hAPP(c_List_Oset(_u20613), c_List_Oreplicate(_u20613, _u20615, _u20617)))) )).
% 12.21/12.43 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u20619, _u20617)) | ( _u20615 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u20619, skolem530(_u20619, _u20617, _u20615, _u20613))) )).
% 12.21/12.43 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20614), _u20608), hAPP(c_List_Oset(_u20614), c_List_Oreplicate(_u20614, _u20616, _u20618)))) | hBOOL(hAPP(_u20620, _u20608)) | ~hBOOL(hAPP(_u20620, _u20618)) )).
% 12.21/12.43 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20614), _u20608), hAPP(c_List_Oset(_u20614), c_List_Oreplicate(_u20614, _u20616, _u20618)))) | hBOOL(hAPP(_u20620, _u20608)) | ( _u20616 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20621, _u20622), _u20623), c_List_Oreplicate(_u20621, _u20624, _u20625)) = c_List_Oreplicate(_u20622, _u20624, hAPP(_u20623, _u20625))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__empty-1, axiom, ( ( _u20631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u20629, _u20631, _u20633) != c_List_Olist_ONil(_u20629)) )).
% 12.21/12.43 cnf(fact_replicate__empty-2, axiom, ( ( _u20632 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u20630, _u20632, _u20634) = c_List_Olist_ONil(_u20630)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_empty__replicate-1, axiom, ( ( _u20640 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u20638) != c_List_Oreplicate(_u20638, _u20640, _u20642)) )).
% 12.21/12.43 cnf(fact_empty__replicate-2, axiom, ( ( _u20641 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u20639) = c_List_Oreplicate(_u20639, _u20641, _u20643)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u20644, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20645) = c_List_Olist_ONil(_u20644)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u20646, c_List_Oreplicate(tc_List_Olist(_u20646), _u20647, c_List_Olist_ONil(_u20646))) = c_List_Olist_ONil(_u20646)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u20652, _u20654)) | ( hAPP(c_List_Ofilter(_u20656, _u20652), c_List_Oreplicate(_u20656, _u20658, _u20654)) = c_List_Oreplicate(_u20656, _u20658, _u20654)) )).
% 12.21/12.43 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u20653, _u20655)) | ( hAPP(c_List_Ofilter(_u20657, _u20653), c_List_Oreplicate(_u20657, _u20659, _u20655)) = c_List_Olist_ONil(_u20657)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20664), _u20666), hAPP(c_List_Oset(_u20664), c_List_Oreplicate(_u20664, _u20668, _u20670)))) | ( _u20666 = _u20670) )).
% 12.21/12.43 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20664), _u20666), hAPP(c_List_Oset(_u20664), c_List_Oreplicate(_u20664, _u20668, _u20670)))) | ( _u20668 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43 cnf(fact_in__set__replicate-3, axiom, ( ( _u20667 != _u20671) | ( _u20669 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20665), _u20667), hAPP(c_List_Oset(_u20665), c_List_Oreplicate(_u20665, _u20669, _u20671)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u20672, _u20673), c_List_Oreplicate(_u20672, _u20674, _u20675)), c_List_Oreplicate(_u20673, _u20676, _u20677)) = c_List_Oreplicate(tc_prod(_u20672, _u20673), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u20674), _u20676), hAPP(hAPP(c_Product__Type_OPair(_u20672, _u20673), _u20675), _u20677))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20678), hAPP(c_COMBK(_u20678, tc_Nat_Onat), _u20679)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20680)) = c_List_Oreplicate(_u20678, _u20680, _u20679)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u20684 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20686), c_List_Oreplicate(_u20686, _u20684, _u20688)) = c_Orderings_Obot__class_Obot(tc_fun(_u20686, tc_HOL_Obool))) )).
% 12.21/12.43 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u20685 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20687), c_List_Oreplicate(_u20687, _u20685, _u20689)) = hAPP(hAPP(c_Set_Oinsert(_u20687), _u20689), c_Orderings_Obot__class_Obot(tc_fun(_u20687, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_set__replicate-1, axiom, ( ( _u20690 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20691), c_List_Oreplicate(_u20691, _u20690, _u20692)) = hAPP(hAPP(c_Set_Oinsert(_u20691), _u20692), c_Orderings_Obot__class_Obot(tc_fun(_u20691, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u20693), c_List_Oreplicate(_u20693, hAPP(c_Nat_OSuc, _u20694), _u20695)) = hAPP(hAPP(c_Set_Oinsert(_u20693), _u20695), c_Orderings_Obot__class_Obot(tc_fun(_u20693, tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u20697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20697), _u20698), _u20699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20697), c_Groups_Ozero__class_Ozero(_u20697)), skolem531(_u20699, _u20698, _u20697))) )).
% 12.21/12.43 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u20697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20697), _u20698), _u20699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20697), _u20698), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20697), _u20699), skolem531(_u20699, _u20698, _u20697)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u20703, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(_u20703, tc_HOL_Obool)), _u20702), _u20704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(tc_prod(_u20703, _u20703), tc_HOL_Obool)), _u20702), _u20705)) | hBOOL(hAPP(hAPP(c_member(_u20701), skolem532(_u20705, _u20704, _u20703, _u20702, _u20701)), _u20702)) )).
% 12.21/12.43 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u20703, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(_u20703, tc_HOL_Obool)), _u20702), _u20704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(tc_prod(_u20703, _u20703), tc_HOL_Obool)), _u20702), _u20705)) | ~c_Relation_Orefl__on(_u20703, hAPP(_u20704, skolem532(_u20705, _u20704, _u20703, _u20702, _u20701)), hAPP(_u20705, skolem532(_u20705, _u20704, _u20703, _u20702, _u20701))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20709), _u20711), _u20713)) | hBOOL(hAPP(hAPP(c_member(_u20709), _u20713), hAPP(c_List_Oset(_u20709), _u20711))) )).
% 12.21/12.43 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20710), _u20714), hAPP(c_List_Oset(_u20710), _u20712))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20710), _u20712), _u20714)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20718), _u20720), hAPP(c_List_Oset(_u20718), _u20722))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20718), _u20722), _u20720)) )).
% 12.21/12.43 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20719), _u20723), _u20721)) | hBOOL(hAPP(hAPP(c_member(_u20719), _u20721), hAPP(c_List_Oset(_u20719), _u20723))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20728), hAPP(hAPP(c_List_Olist_OCons(_u20728), _u20730), _u20732)), _u20734)) | ( _u20730 = _u20734) | hBOOL(hAPP(hAPP(c_List_Omember(_u20728), _u20732), _u20734)) )).
% 12.21/12.43 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20729), hAPP(hAPP(c_List_Olist_OCons(_u20729), _u20731), _u20733)), _u20735)) | ( _u20731 != _u20735) )).
% 12.21/12.43 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20729), hAPP(hAPP(c_List_Olist_OCons(_u20729), _u20731), _u20733)), _u20735)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u20729), _u20733), _u20735)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_member__set ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u20736) = c_List_Oset(_u20736)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20737), c_List_Olist_ONil(_u20737)), _u20738)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u20739, _u20740, _u20741, _u20742, c_Nitpick_Opair__box_OPairBox(_u20739, _u20740, _u20743, _u20744)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20741, _u20743)), hAPP(_u20742, _u20744))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u20752, _u20754, _u20756) | hBOOL(hAPP(hAPP(c_member(_u20752), skolem533(_u20756, _u20754, _u20752)), hAPP(c_List_Oset(_u20752), _u20756))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u20752, _u20754, _u20756) | hBOOL(hAPP(_u20754, skolem533(_u20756, _u20754, _u20752))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u20752, _u20754, _u20756) | ~hBOOL(hAPP(hAPP(c_member(_u20752), _u20745), hAPP(c_List_Oset(_u20752), _u20756))) | ~hBOOL(hAPP(_u20754, _u20745)) | ( _u20745 = skolem533(_u20756, _u20754, _u20752)) )).
% 12.21/12.43 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u20753, _u20755, _u20757) | ~hBOOL(hAPP(hAPP(c_member(_u20753), _u20748), hAPP(c_List_Oset(_u20753), _u20757))) | ~hBOOL(hAPP(_u20755, _u20748)) | hBOOL(hAPP(hAPP(c_member(_u20753), skolem534(_u20757, _u20755, _u20753, _u20748)), hAPP(c_List_Oset(_u20753), _u20757))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u20753, _u20755, _u20757) | ~hBOOL(hAPP(hAPP(c_member(_u20753), _u20748), hAPP(c_List_Oset(_u20753), _u20757))) | ~hBOOL(hAPP(_u20755, _u20748)) | hBOOL(hAPP(_u20755, skolem534(_u20757, _u20755, _u20753, _u20748))) )).
% 12.21/12.43 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u20753, _u20755, _u20757) | ~hBOOL(hAPP(hAPP(c_member(_u20753), _u20748), hAPP(c_List_Oset(_u20753), _u20757))) | ~hBOOL(hAPP(_u20755, _u20748)) | ( skolem534(_u20757, _u20755, _u20753, _u20748) != _u20748) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20768, _u20770) != c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20772, _u20774)) | ( _u20768 = _u20772) )).
% 12.21/12.43 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20768, _u20770) != c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20772, _u20774)) | ( _u20770 = _u20774) )).
% 12.21/12.43 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u20769 != _u20773) | ( _u20771 != _u20775) | ( c_Nitpick_Opair__box_OPairBox(_u20765, _u20767, _u20769, _u20771) = c_Nitpick_Opair__box_OPairBox(_u20765, _u20767, _u20773, _u20775)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u20776, _u20777)), c_Nitpick_Opair__box_OPairBox(_u20776, _u20777, _u20778, _u20779)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u20780, _u20781, _u20782, _u20783, c_Nitpick_Opair__box_OPairBox(_u20780, _u20781, _u20784, _u20785)) = hAPP(hAPP(_u20783, _u20784), _u20785)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u20786, _u20787, _u20788, _u20789, c_Nitpick_Opair__box_OPairBox(_u20786, _u20787, _u20790, _u20791)) = hAPP(hAPP(_u20789, _u20790), _u20791)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u20801, _u20803, _u20799) = c_HOL_OThe(_u20801, _u20799)) | ~hBOOL(hAPP(_u20799, _u20793)) | hBOOL(hAPP(_u20799, skolem535(_u20803, _u20801, _u20799, _u20793))) )).
% 12.21/12.43 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u20801, _u20803, _u20799) = c_HOL_OThe(_u20801, _u20799)) | ~hBOOL(hAPP(_u20799, _u20793)) | ( skolem535(_u20803, _u20801, _u20799, _u20793) != _u20793) )).
% 12.21/12.43 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u20802, _u20804, _u20800) = _u20804) | hBOOL(hAPP(_u20800, skolem536(_u20804, _u20802, _u20800))) )).
% 12.21/12.43 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u20802, _u20804, _u20800) = _u20804) | ~hBOOL(hAPP(_u20800, _u20794)) | ( _u20794 = skolem536(_u20804, _u20802, _u20800)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem538(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem539(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( skolem538(_u20812, _u20811, _u20810, _u20809) != skolem539(_u20812, _u20811, _u20810, _u20809)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem538(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem539(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( hAPP(_u20812, skolem540(_u20812, _u20811, _u20810, _u20809)) != c_Groups_Ozero__class_Ozero(_u20809)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem538(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem539(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( skolem538(_u20812, _u20811, _u20810, _u20809) != skolem539(_u20812, _u20811, _u20810, _u20809)) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem538(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem539(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.43 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( hAPP(_u20812, skolem540(_u20812, _u20811, _u20810, _u20809)) != c_Groups_Ozero__class_Ozero(_u20809)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20814, tc_fun(_u20815, tc_fun(_u20816, tc_HOL_Obool))), _u20817), _u20818), _u20819), _u20820)) | hBOOL(hAPP(hAPP(c_member(_u20814), skolem541(_u20820, _u20819, _u20818, _u20817, _u20816, _u20815, _u20814)), _u20817)) )).
% 12.21/12.43 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20814, tc_fun(_u20815, tc_fun(_u20816, tc_HOL_Obool))), _u20817), _u20818), _u20819), _u20820)) | hBOOL(hAPP(hAPP(hAPP(_u20818, skolem541(_u20820, _u20819, _u20818, _u20817, _u20816, _u20815, _u20814)), _u20819), _u20820)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20822, tc_fun(_u20827, tc_fun(_u20828, tc_HOL_Obool))), _u20823), _u20824), _u20825), _u20826)) | hBOOL(hAPP(hAPP(c_member(_u20822), skolem542(_u20828, _u20827, _u20826, _u20825, _u20824, _u20823, _u20822)), _u20823)) )).
% 12.21/12.43 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20822, tc_fun(_u20827, tc_fun(_u20828, tc_HOL_Obool))), _u20823), _u20824), _u20825), _u20826)) | ~hBOOL(hAPP(hAPP(hAPP(_u20824, skolem542(_u20828, _u20827, _u20826, _u20825, _u20824, _u20823, _u20822)), _u20825), _u20826)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20831)), _u20832)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20831)), _u20829), _u20832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20831)), _u20829)), skolem543(_u20832, _u20831))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20833, _u20834), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20833)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_hb__map_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_hb__map_Osimps_I1_J-1, axiom, ( ( c_Lazy__Sequence_Ohb__map(_u20835, _u20836, _u20837, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(_u20835))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(_u20836))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20838) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20838, _u20839, _u20840)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20841, _u20842, _u20843) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20841)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__04 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__04-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20844, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20844), _u20845) = _u20845) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_hb__flat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_hb__flat_Osimps_I1_J-1, axiom, ( ( c_Lazy__Sequence_Ohb__flat(_u20846, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20846))))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(_u20846))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20847, _u20848, _u20849, _u20850, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20848)) = _u20849) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact__05 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact__05-1, axiom, ( ( hAPP(c_Lazy__Sequence_Oyield(_u20851), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20851)) = c_Option_Ooption_ONone(tc_prod(_u20851, tc_Lazy__Sequence_Olazy__sequence(_u20851)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20852)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20852)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u20856, c_List_Oupto(_u20858, _u20860)) | c_List_Oall__interval__int(_u20856, _u20858, _u20860) )).
% 12.21/12.43 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u20857, _u20859, _u20861) | c_List_Olist__all(tc_Int_Oint, _u20857, c_List_Oupto(_u20859, _u20861)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u20865, c_List_Oupto(_u20867, _u20869)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20865), _u20867, _u20869) )).
% 12.21/12.43 cnf(fact_list__ex__iff__not__all__inverval__int-2, axiom, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20866), _u20868, _u20870) | c_List_Olist__ex(tc_Int_Oint, _u20866, c_List_Oupto(_u20868, _u20870)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u20876, _u20878, _u20880) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20871), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20878, _u20880))) | hBOOL(hAPP(_u20876, _u20871)) )).
% 12.21/12.43 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u20877, _u20879, _u20881) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem544(_u20881, _u20879, _u20877)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20879, _u20881))) )).
% 12.21/12.43 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u20877, _u20879, _u20881) | ~hBOOL(hAPP(_u20877, skolem544(_u20881, _u20879, _u20877))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20882, _u20883, _u20884, c_Code__Numeral_OSuc__code__numeral(_u20885)) = hAPP(hAPP(_u20884, _u20885), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20882, _u20883, _u20884, _u20885))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20890), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20892, _u20894, _u20890, _u20896) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20892)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20892))) )).
% 12.21/12.43 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20891), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20893, _u20895, _u20891, _u20897) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20895, _u20897)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20893, _u20895, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20891), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20897))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893))))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20893)), hAPP(hAPP(c_COMBB(_u20893, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20893)), c_Product__Type_Ofst(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20898, _u20899, _u20900, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u20899) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u20901, _u20902, _u20903) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20901)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20901))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20904), _u20905), _u20906), _u20907) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20904)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20904), _u20905))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u20908, _u20909, _u20910, _u20911) = c_Random__Sequence_Obind(_u20908, _u20909, _u20911, hAPP(c_Fun_Ocomp(_u20909, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20909)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20908, c_Random__Sequence_Osingle(_u20909)), _u20910))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_option__map__o__sum__case ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_option__map__o__sum__case-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20912), tc_Option_Ooption(_u20913), tc_sum(_u20914, _u20915), hAPP(c_Option_Omap(_u20912, _u20913), _u20916)), c_Sum__Type_Osum_Osum__case(_u20914, tc_Option_Ooption(_u20912), _u20915, _u20917, _u20918)) = c_Sum__Type_Osum_Osum__case(_u20914, tc_Option_Ooption(_u20913), _u20915, hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20912), tc_Option_Ooption(_u20913), _u20914, hAPP(c_Option_Omap(_u20912, _u20913), _u20916)), _u20917), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20912), tc_Option_Ooption(_u20913), _u20915, hAPP(c_Option_Omap(_u20912, _u20913), _u20916)), _u20918))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sum__case__KK ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sum__case__KK-1, axiom, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u20919, _u20920, _u20921, hAPP(c_COMBK(_u20920, _u20919), _u20922), hAPP(c_COMBK(_u20920, _u20921), _u20922)), _u20923) = _u20922) )).
% 12.21/12.43
% 12.21/12.43 % Formula: fact_sum__case__inject ( axiom ) converted to clauses:
% 12.21/12.43 cnf(fact_sum__case__inject-1, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20927, _u20928) != c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20929, _u20930)) | ( _u20927 = _u20929) )).
% 12.21/12.43 cnf(fact_sum__case__inject-2, axiom, ( ( c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20927, _u20928) != c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20929, _u20930)) | ( _u20928 = _u20930) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20931) | class_Lattices_Obounded__lattice(tc_fun(_u20932, _u20931)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20933) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20934, _u20933)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20935) | class_Lattices_Obounded__lattice__top(tc_fun(_u20936, _u20935)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20937) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20938, _u20937)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20939) | class_Lattices_Osemilattice__sup(tc_fun(_u20940, _u20939)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20941) | class_Lattices_Osemilattice__inf(tc_fun(_u20942, _u20941)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20943) | class_Lattices_Odistrib__lattice(tc_fun(_u20944, _u20943)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20945) | class_Lattices_Oboolean__algebra(tc_fun(_u20946, _u20945)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20947) | class_Orderings_Opreorder(tc_fun(_u20948, _u20947)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20949) | ~class_Finite__Set_Ofinite(_u20950) | class_Finite__Set_Ofinite(tc_fun(_u20949, _u20950)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20951) | class_Lattices_Olattice(tc_fun(_u20952, _u20951)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20953) | class_Orderings_Oorder(tc_fun(_u20954, _u20953)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20955) | class_Orderings_Otop(tc_fun(_u20956, _u20955)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20957) | class_Orderings_Oord(tc_fun(_u20958, _u20957)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20959) | class_Orderings_Obot(tc_fun(_u20960, _u20959)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20961) | class_Groups_Ouminus(tc_fun(_u20962, _u20961)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20963) | class_Groups_Ominus(tc_fun(_u20964, _u20963)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__HOL_Oequal-1, axiom, ( ~class_Enum_Oenum(_u20965) | ~class_HOL_Oequal(_u20966) | class_HOL_Oequal(tc_fun(_u20965, _u20966)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20967) | ~class_Enum_Oenum(_u20968) | class_Enum_Oenum(tc_fun(_u20967, _u20968)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Smallcheck_Osmall ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Int__Oint__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Int__Oint__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Int_Oint) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20969) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20969)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_List__Olist__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_List__Olist__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_List_Olist(_u20970)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20971)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20972) | ~class_Finite__Set_Ofinite(_u20973) | class_Finite__Set_Ofinite(tc_sum(_u20972, _u20973)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_sum__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_sum__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_sum(_u20974, _u20975)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20976) | ~class_Enum_Oenum(_u20977) | class_Enum_Oenum(tc_sum(_u20976, _u20977)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20978, _u20979)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20980) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20980)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Option__Ooption__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Option__Ooption__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Option_Ooption(_u20981)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20982) | class_Enum_Oenum(tc_Option_Ooption(_u20982)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20983)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nitpick__Opair____box__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nitpick__Opair____box__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Nitpick_Opair__box(_u20984, _u20985)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20986, _u20987)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20988) | ~class_Lazy__Sequence_Osmall__lazy(_u20989) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20988, _u20989)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20990) | ~class_Finite__Set_Ofinite(_u20991) | class_Finite__Set_Ofinite(tc_prod(_u20990, _u20991)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_prod__Smallcheck_Osmall ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_prod__Smallcheck_Osmall-1, axiom, ( ~class_Smallcheck_Osmall(_u20992) | ~class_Smallcheck_Osmall(_u20993) | class_Smallcheck_Osmall(tc_prod(_u20992, _u20993)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_prod__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_prod__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_prod(_u20994, _u20995)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20996) | ~class_Enum_Oenum(_u20997) | class_Enum_Oenum(tc_prod(_u20996, _u20997)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20998, _u20999)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Product____Type__Ounit__Smallcheck_Osmall ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Product____Type__Ounit__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Product____Type__Ounit__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Product____Type__Ounit__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Product__Type_Ounit) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Evaluation__Oterm__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Evaluation__Oterm__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Code__Evaluation_Oterm) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Hoare____Mirabelle__Otriple__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Hoare____Mirabelle__Otriple__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(_u21000)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u21001)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(_u21002)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 12.21/12.43 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21003)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u21004), _u21005) = _u21005) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u21006, _u21007), _u21008), _u21009) = _u21008) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u21010, _u21011, _u21012), _u21013), _u21014), _u21015) = hAPP(_u21013, hAPP(_u21014, _u21015))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21016, _u21017, _u21018), _u21019), _u21020), _u21021) = hAPP(hAPP(_u21019, _u21021), _u21020)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21022, _u21023, _u21024), _u21025), _u21026), _u21027) = hAPP(hAPP(_u21025, _u21027), hAPP(_u21026, _u21027))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21028), _u21029)) | ( _u21028 = _u21029) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fequal__2-1, axiom, ( ( _u21030 != _u21031) | hBOOL(hAPP(hAPP(c_fequal, _u21030), _u21031)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u21032)) | ~hBOOL(_u21032) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u21033) | hBOOL(hAPP(c_fNot, _u21033)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u21035) | ~hBOOL(_u21034) | hBOOL(hAPP(hAPP(c_fconj, _u21034), _u21035)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21036), _u21037)) | hBOOL(_u21036) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u21039) | ~hBOOL(hAPP(hAPP(c_fconj, _u21038), _u21039)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u21040) | hBOOL(hAPP(hAPP(c_fdisj, _u21040), _u21041)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u21042) | hBOOL(hAPP(hAPP(c_fdisj, _u21043), _u21042)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u21045) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21044), _u21045)) | hBOOL(_u21044) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u21046) | hBOOL(hAPP(hAPP(c_fimplies, _u21046), _u21047)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u21048) | hBOOL(hAPP(hAPP(c_fimplies, _u21049), _u21048)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 12.21/12.43 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u21051) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21050), _u21051)) | ~hBOOL(_u21050) )).
% 12.21/12.43
% 12.21/12.43 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.21/12.43 cnf(conj_0-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 12.21/12.43 cnf(conj_1-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, v_ts) )).
% 12.21/12.43
% 12.21/12.43 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 12.21/12.43 cnf(conj_2-1, 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)) )).
% 12.21/12.43
% 12.21/12.43 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 12.21/12.43 cnf(conj_3-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 12.21/12.43
% 12.21/12.43 % Formula: conj_4 ( hypothesis ) converted to clauses:
% 12.21/12.43 cnf(conj_4-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_ts) )).
% 12.21/12.43
% 12.21/12.43 % Formula: conj_5 ( conjecture ) (definitionally) converted to clauses:
% 12.21/12.43 cnf(conj_5-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), v_ts)) )).
% 12.21/12.43
% 12.21/12.43 % Problem matrix:
% 12.21/12.43 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.21/12.43 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.21/12.43 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.21/12.43 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Othe__elem(__eqx_0, __eqx_1) = c_Set_Othe__elem(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2) = c_COMBS(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2) = c_COMBB(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-13, 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)) )).
% 12.21/12.43 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)) )).
% 12.21/12.43 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Oenum__the(__eqx_0, __eqx_1) = c_Enum_Oenum__the(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-26, 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)) )).
% 12.21/12.43 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Partial__Function_Oflat__lub(__eqx_0, __eqx_1, __eqx_2) = c_Partial__Function_Oflat__lub(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-30, 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)) )).
% 12.21/12.43 cnf(matrix-31, 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)) )).
% 12.21/12.43 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ooverride__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ooverride__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-37, 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)) )).
% 12.21/12.43 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-41, 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)) )).
% 12.21/12.43 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Finite__Set_Ofold__graph(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold__graph(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hilbert__Choice_Oinv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hilbert__Choice_Oinv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold1Set(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold1Set(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OPair(__eqx_0, __eqx_1) = c_Product__Type_OPair(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-52, 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)) )).
% 12.21/12.43 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-60, 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)) )).
% 12.21/12.43 cnf(matrix-61, 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)) )).
% 12.21/12.43 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OInf__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OInf__fin(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OSup__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OSup__fin(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatLeast(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatLeast(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OlessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OlessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OgreaterThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OgreaterThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OatLeastLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OatLeastLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold__image(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold__image(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ofold1(__eqx_0, __eqx_1) = c_Finite__Set_Ofold1(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMax(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMax(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMin(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMin(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-82, 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)) )).
% 12.21/12.43 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OPlus(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OPlus(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Wellfounded_Olex__prod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Wellfounded_Olex__prod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Osame__fst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Osame__fst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat__Transfer_Otsub(__eqx_0, __eqx_1) = c_Nat__Transfer_Otsub(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__int__rel(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omax__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omax__ext(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onorm__frac(__eqx_0, __eqx_1) = c_Nitpick_Onorm__frac(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int(__eqx_0, __eqx_1) = c_Divides_Odivmod__int(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat__rel(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Osnd(__eqx_0, __eqx_1) = c_Product__Type_Osnd(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Ofst(__eqx_0, __eqx_1) = c_Product__Type_Ofst(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oprod_Oprod__case(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oprod_Oprod__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Oprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Oprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1) = c_Relation_Oinv__image(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_FunDef_Orp__inv__image(__eqx_0, __eqx_1) = c_FunDef_Orp__inv__image(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omin__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omin__ext(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onat__aux(__eqx_0, __eqx_1) = c_Int_Onat__aux(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nat_Onat_Onat__rec(__eqx_0, __eqx_1, __eqx_2) = c_Nat_Onat_Onat__rec(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Odiv__mod__code__numeral(__eqx_0, __eqx_1) = c_Code__Numeral_Odiv__mod__code__numeral(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Osemiring__1__class_Oof__nat__aux(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Onat__of__aux(__eqx_0, __eqx_1) = c_Code__Numeral_Onat__of__aux(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omax(__eqx_0, __eqx_1) = c_Orderings_Oord_Omax(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omin(__eqx_0, __eqx_1) = c_Orderings_Oord_Omin(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqx_0) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OInf__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OInf__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OSup__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OSup__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SetInterval_Oord__class_OatLeastLessThan(__eqx_0, __eqx_1) = c_SetInterval_Oord__class_OatLeastLessThan(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapsnd(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapsnd(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__gcd(__eqx_0, __eqx_1) = c_Nitpick_Onat__gcd(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__lcm(__eqx_0, __eqx_1) = c_Nitpick_Onat__lcm(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oint__lcm(__eqx_0, __eqx_1) = c_Nitpick_Oint__lcm(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapfst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapfst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Orel__comp(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Orel__comp(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Predicate_Opred__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Predicate_Opred__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_OAbs__Frac(__eqx_0, __eqx_1) = c_Nitpick_OAbs__Frac(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onumber__of__frac(__eqx_0, __eqx_1) = c_Nitpick_Onumber__of__frac(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ORangeP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ORangeP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ODomainP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ODomainP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1) = c_Product__Type_OSigma(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Product__Type_Omap__pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Product__Type_Omap__pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Hilbert__Choice_OEps(__eqx_0, __eqx_1) = c_Hilbert__Choice_OEps(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oscomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oscomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random_Oiterate(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random_Oiterate(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random_Ominus__shift(__eqx_0, __eqx_1, __eqx_2) = c_Random_Ominus__shift(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oinc__shift(__eqx_0, __eqx_1) = c_Random_Oinc__shift(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OInf__class_OInf(__eqx_0, __eqx_1) = c_Complete__Lattice_OInf__class_OInf(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OSup__class_OSup(__eqx_0, __eqx_1) = c_Complete__Lattice_OSup__class_OSup(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-201, 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)) )).
% 12.21/12.43 cnf(matrix-202, 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)) )).
% 12.21/12.43 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-204, 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)) )).
% 12.21/12.43 cnf(matrix-205, 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)) )).
% 12.21/12.43 cnf(matrix-206, 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)) )).
% 12.21/12.43 cnf(matrix-207, 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)) )).
% 12.21/12.43 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( c_Smallcheck_Osmall__class_Osmall(__eqx_0) = c_Smallcheck_Osmall__class_Osmall(__eqy_0)) )).
% 12.21/12.43 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)) )).
% 12.21/12.43 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Omap(__eqx_0, __eqx_1) = c_Option_Omap(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-211, plain, ( ( __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)) )).
% 12.21/12.43 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oset__Cons(__eqx_0, __eqx_1, __eqx_2) = c_List_Oset__Cons(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect__weight(__eqx_0, __eqx_1) = c_Random_Oselect__weight(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Enum_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Enum_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Osetsum_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Osetsum_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ocard_H(__eqx_0, __eqx_1) = c_Nitpick_Ocard_H(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Enum_On__lists(__eqx_0, __eqx_1, __eqx_2) = c_Enum_On__lists(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osublist(__eqx_0, __eqx_1, __eqx_2) = c_List_Osublist(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_Olist__size(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_Olist__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum(__eqx_0) = c_Enum_Oenum__class_Oenum(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olist__update(__eqx_0, __eqx_1) = c_List_Olist__update(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-237, 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)) )).
% 12.21/12.43 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oanamorph(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oanamorph(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olist_Olist__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olist_Olist__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ofoldl(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ofoldl(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-257, 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)) )).
% 12.21/12.43 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oremove1(__eqx_0, __eqx_1, __eqx_2) = c_List_Oremove1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olinorder__class_Osorted__list__of__set(__eqx_0, __eqx_1) = c_List_Olinorder__class_Osorted__list__of__set(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Opartition(__eqx_0, __eqx_1, __eqx_2) = c_List_Opartition(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olinorder__class_Oinsort__key(__eqx_0, __eqx_1, __eqx_2) = c_List_Olinorder__class_Oinsort__key(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olinorder__class_Osort__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olinorder__class_Osort__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olinorder__class_Oinsort__insert__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olinorder__class_Oinsort__insert__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OtakeWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OtakeWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OdropWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OdropWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_List_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omaps(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omaps(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__not__random__dseq(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__not__random__dseq(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oplus__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oplus__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-280, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Otimes__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Otimes__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oof__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oof__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oinverse__frac(__eqx_0, __eqx_1) = c_Nitpick_Oinverse__frac(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ouminus__frac(__eqx_0, __eqx_1) = c_Nitpick_Ouminus__frac(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oequal__class_Oequal(__eqx_0) = c_HOL_Oequal__class_Oequal(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-294, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__empty(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__empty(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqx_0, __eqx_1) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-301, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-302, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-304, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Ohb__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Ohb__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Opos__single(__eqx_0, __eqx_1) = c_New__DSequence_Opos__single(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-311, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oappend(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oappend(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Oneg__single(__eqx_0, __eqx_1) = c_New__DSequence_Oneg__single(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_New__DSequence_Opos__union(__eqx_0, __eqx_1, __eqx_2) = c_New__DSequence_Opos__union(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Ohb__single(__eqx_0, __eqx_1) = c_Lazy__Sequence_Ohb__single(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_New__Random__Sequence_Opos__union(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_New__Random__Sequence_Opos__union(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy_H(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy_H(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Ohb__flat(__eqx_0, __eqx_1) = c_Lazy__Sequence_Ohb__flat(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_New__DSequence_Oneg__union(__eqx_0, __eqx_1, __eqx_2) = c_New__DSequence_Oneg__union(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Ohb__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Ohb__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_New__Random__Sequence_Oneg__union(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_New__Random__Sequence_Oneg__union(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_New__DSequence_Oneg__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_New__DSequence_Oneg__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osplice(__eqx_0, __eqx_1, __eqx_2) = c_List_Osplice(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_Oconversep(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_Oconversep(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oreplicate(__eqx_0, __eqx_1, __eqx_2) = c_List_Oreplicate(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Opair__box_OPairBox(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Opair__box_OPairBox(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_Nitpick_Opair__box(__eqx_0, __eqx_1) = tc_Nitpick_Opair__box(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_OTHE__default(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_OTHE__default(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_ORandom(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_ORandom(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random__Sequence_Oempty(__eqx_0, __eqx_1, __eqx_2) = c_Random__Sequence_Oempty(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Sum__Type_Osum_Osum__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Sum__Type_Osum_Osum__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-350, 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)) )).
% 12.21/12.43 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-362, 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)) )).
% 12.21/12.43 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-364, 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)) )).
% 12.21/12.43 cnf(matrix-365, 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)) )).
% 12.21/12.43 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem18(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem18(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem19(__eqx_0, __eqx_1) = skolem19(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem20(__eqx_0, __eqx_1) = skolem20(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem23(__eqx_0, __eqx_1, __eqx_2) = skolem23(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem24(__eqx_0, __eqx_1, __eqx_2) = skolem24(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem26(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem26(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem28(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem28(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-378, plain, ( ( __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) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem31(__eqx_0, __eqx_1, __eqx_2) = skolem31(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem32(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem32(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem38(__eqx_0, __eqx_1, __eqx_2) = skolem38(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem39(__eqx_0, __eqx_1, __eqx_2) = skolem39(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-388, 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)) )).
% 12.21/12.43 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem41(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem41(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-390, 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)) )).
% 12.21/12.43 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem43(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem43(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem44(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem44(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem45(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem45(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-394, 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)) )).
% 12.21/12.43 cnf(matrix-395, 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)) )).
% 12.21/12.43 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem48(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem48(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem49(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem49(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem50(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem50(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem51(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem51(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem53(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem53(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-402, plain, ( ( __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) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.21/12.43 cnf(matrix-403, plain, ( ( __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) | ( skolem55(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem55(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.21/12.43 cnf(matrix-404, plain, ( ( __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) | ( skolem56(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem56(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem57(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem57(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem58(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem58(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-409, 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)) )).
% 12.21/12.43 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem62(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem62(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem63(__eqx_0, __eqx_1) = skolem63(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-412, plain, ( ( __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) | ( skolem64(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem64(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-413, plain, ( ( __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) | ( skolem65(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem65(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem66(__eqx_0, __eqx_1) = skolem66(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem67(__eqx_0, __eqx_1) = skolem67(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-417, plain, ( ( __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) | ( skolem69(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem69(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem70(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem70(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem71(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem71(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( skolem72(__eqx_0) = skolem72(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( skolem73(__eqx_0) = skolem73(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( skolem74(__eqx_0) = skolem74(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( skolem75(__eqx_0) = skolem75(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem76(__eqx_0, __eqx_1, __eqx_2) = skolem76(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-425, 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)) )).
% 12.21/12.43 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( skolem78(__eqx_0) = skolem78(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem79(__eqx_0, __eqx_1) = skolem79(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-428, plain, ( ( __eqx_0 != __eqy_0) | ( skolem80(__eqx_0) = skolem80(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem81(__eqx_0, __eqx_1) = skolem81(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem83(__eqx_0, __eqx_1) = skolem83(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem84(__eqx_0, __eqx_1) = skolem84(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem85(__eqx_0, __eqx_1) = skolem85(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-434, 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)) )).
% 12.21/12.43 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem88(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem88(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem89(__eqx_0, __eqx_1, __eqx_2) = skolem89(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem90(__eqx_0, __eqx_1, __eqx_2) = skolem90(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem91(__eqx_0, __eqx_1, __eqx_2) = skolem91(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem92(__eqx_0, __eqx_1, __eqx_2) = skolem92(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem93(__eqx_0, __eqx_1, __eqx_2) = skolem93(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem94(__eqx_0, __eqx_1, __eqx_2) = skolem94(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem95(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem95(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem96(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem96(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem97(__eqx_0, __eqx_1) = skolem97(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem98(__eqx_0, __eqx_1) = skolem98(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem99(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem99(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem100(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem100(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-449, plain, ( ( __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) | ( skolem101(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem101(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-450, 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)) )).
% 12.21/12.43 cnf(matrix-451, 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)) )).
% 12.21/12.43 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem104(__eqx_0, __eqx_1) = skolem104(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem105(__eqx_0, __eqx_1) = skolem105(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem106(__eqx_0, __eqx_1, __eqx_2) = skolem106(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem107(__eqx_0, __eqx_1, __eqx_2) = skolem107(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem108(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem108(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem109(__eqx_0, __eqx_1) = skolem109(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem110(__eqx_0, __eqx_1) = skolem110(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem111(__eqx_0, __eqx_1) = skolem111(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( skolem113(__eqx_0) = skolem113(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem114(__eqx_0, __eqx_1, __eqx_2) = skolem114(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem115(__eqx_0, __eqx_1, __eqx_2) = skolem115(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem116(__eqx_0, __eqx_1, __eqx_2) = skolem116(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem117(__eqx_0, __eqx_1, __eqx_2) = skolem117(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem118(__eqx_0, __eqx_1, __eqx_2) = skolem118(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem119(__eqx_0, __eqx_1) = skolem119(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem120(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem120(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem121(__eqx_0, __eqx_1, __eqx_2) = skolem121(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem122(__eqx_0, __eqx_1, __eqx_2) = skolem122(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem123(__eqx_0, __eqx_1, __eqx_2) = skolem123(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem124(__eqx_0, __eqx_1, __eqx_2) = skolem124(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem125(__eqx_0, __eqx_1, __eqx_2) = skolem125(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem126(__eqx_0, __eqx_1, __eqx_2) = skolem126(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem127(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem127(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem128(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem128(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem129(__eqx_0, __eqx_1) = skolem129(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem130(__eqx_0, __eqx_1, __eqx_2) = skolem130(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem131(__eqx_0, __eqx_1, __eqx_2) = skolem131(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem132(__eqx_0, __eqx_1, __eqx_2) = skolem132(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem133(__eqx_0, __eqx_1, __eqx_2) = skolem133(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-482, 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)) )).
% 12.21/12.43 cnf(matrix-483, 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)) )).
% 12.21/12.43 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem136(__eqx_0, __eqx_1, __eqx_2) = skolem136(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem137(__eqx_0, __eqx_1, __eqx_2) = skolem137(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem138(__eqx_0, __eqx_1, __eqx_2) = skolem138(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-487, 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)) )).
% 12.21/12.43 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem140(__eqx_0, __eqx_1, __eqx_2) = skolem140(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-489, 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)) )).
% 12.21/12.43 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem142(__eqx_0, __eqx_1, __eqx_2) = skolem142(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem143(__eqx_0, __eqx_1) = skolem143(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem144(__eqx_0, __eqx_1, __eqx_2) = skolem144(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem145(__eqx_0, __eqx_1, __eqx_2) = skolem145(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem146(__eqx_0, __eqx_1, __eqx_2) = skolem146(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-495, 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)) )).
% 12.21/12.43 cnf(matrix-496, 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)) )).
% 12.21/12.43 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem149(__eqx_0, __eqx_1, __eqx_2) = skolem149(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem150(__eqx_0, __eqx_1, __eqx_2) = skolem150(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-499, plain, ( ( __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)) )).
% 12.21/12.43 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem152(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem152(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem153(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem153(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( skolem154(__eqx_0) = skolem154(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( skolem155(__eqx_0) = skolem155(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( skolem156(__eqx_0) = skolem156(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( skolem157(__eqx_0) = skolem157(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem158(__eqx_0, __eqx_1, __eqx_2) = skolem158(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( skolem160(__eqx_0) = skolem160(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( skolem161(__eqx_0) = skolem161(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( skolem162(__eqx_0) = skolem162(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( skolem163(__eqx_0) = skolem163(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem164(__eqx_0, __eqx_1) = skolem164(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem165(__eqx_0, __eqx_1) = skolem165(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem166(__eqx_0, __eqx_1) = skolem166(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem167(__eqx_0, __eqx_1, __eqx_2) = skolem167(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem168(__eqx_0, __eqx_1, __eqx_2) = skolem168(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem169(__eqx_0, __eqx_1, __eqx_2) = skolem169(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem170(__eqx_0, __eqx_1, __eqx_2) = skolem170(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem171(__eqx_0, __eqx_1, __eqx_2) = skolem171(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem172(__eqx_0, __eqx_1, __eqx_2) = skolem172(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( skolem173(__eqx_0) = skolem173(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem174(__eqx_0, __eqx_1) = skolem174(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem175(__eqx_0, __eqx_1) = skolem175(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem176(__eqx_0, __eqx_1, __eqx_2) = skolem176(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( skolem177(__eqx_0) = skolem177(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( skolem178(__eqx_0) = skolem178(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem179(__eqx_0, __eqx_1) = skolem179(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem180(__eqx_0, __eqx_1) = skolem180(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem181(__eqx_0, __eqx_1) = skolem181(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem182(__eqx_0, __eqx_1) = skolem182(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem183(__eqx_0, __eqx_1) = skolem183(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem184(__eqx_0, __eqx_1) = skolem184(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-533, 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)) )).
% 12.21/12.43 cnf(matrix-534, 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)) )).
% 12.21/12.43 cnf(matrix-535, 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)) )).
% 12.21/12.43 cnf(matrix-536, 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)) )).
% 12.21/12.43 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem189(__eqx_0, __eqx_1, __eqx_2) = skolem189(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem190(__eqx_0, __eqx_1, __eqx_2) = skolem190(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem191(__eqx_0, __eqx_1, __eqx_2) = skolem191(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem192(__eqx_0, __eqx_1, __eqx_2) = skolem192(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-541, 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)) )).
% 12.21/12.43 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( skolem194(__eqx_0) = skolem194(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-543, 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)) )).
% 12.21/12.43 cnf(matrix-544, plain, ( ( __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) | ( skolem196(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem196(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.43 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem197(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem197(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem198(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem198(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( skolem199(__eqx_0) = skolem199(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem200(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem200(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem201(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem201(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem202(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem202(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-551, 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)) )).
% 12.21/12.43 cnf(matrix-552, 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)) )).
% 12.21/12.43 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem205(__eqx_0, __eqx_1, __eqx_2) = skolem205(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem206(__eqx_0, __eqx_1) = skolem206(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem207(__eqx_0, __eqx_1) = skolem207(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem208(__eqx_0, __eqx_1) = skolem208(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem209(__eqx_0, __eqx_1) = skolem209(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem210(__eqx_0, __eqx_1) = skolem210(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem211(__eqx_0, __eqx_1) = skolem211(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem212(__eqx_0, __eqx_1) = skolem212(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem213(__eqx_0, __eqx_1) = skolem213(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem214(__eqx_0, __eqx_1, __eqx_2) = skolem214(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-563, 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)) )).
% 12.21/12.43 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem218(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem218(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem221(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem221(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem222(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem222(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem223(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem223(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem224(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem224(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem225(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem225(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem226(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem226(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem227(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem227(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem228(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem228(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem229(__eqx_0, __eqx_1) = skolem229(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem230(__eqx_0, __eqx_1) = skolem230(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem231(__eqx_0, __eqx_1) = skolem231(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem232(__eqx_0, __eqx_1) = skolem232(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem233(__eqx_0, __eqx_1) = skolem233(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem234(__eqx_0, __eqx_1) = skolem234(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-583, 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)) )).
% 12.21/12.43 cnf(matrix-584, 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)) )).
% 12.21/12.43 cnf(matrix-585, 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)) )).
% 12.21/12.43 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem238(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem238(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem239(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem239(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem240(__eqx_0, __eqx_1, __eqx_2) = skolem240(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem241(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem241(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem242(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem242(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem243(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem243(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem244(__eqx_0, __eqx_1, __eqx_2) = skolem244(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem245(__eqx_0, __eqx_1, __eqx_2) = skolem245(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem246(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem246(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-595, 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)) )).
% 12.21/12.43 cnf(matrix-596, 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)) )).
% 12.21/12.43 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem249(__eqx_0, __eqx_1, __eqx_2) = skolem249(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem252(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem252(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem254(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem254(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem256(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem256(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem258(__eqx_0, __eqx_1, __eqx_2) = skolem258(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem259(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem259(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem261(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem261(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem262(__eqx_0, __eqx_1, __eqx_2) = skolem262(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem263(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem263(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-612, 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)) )).
% 12.21/12.43 cnf(matrix-613, 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)) )).
% 12.21/12.43 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-615, 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)) )).
% 12.21/12.43 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem268(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem268(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem269(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem269(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem270(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem270(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem271(__eqx_0, __eqx_1) = skolem271(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem272(__eqx_0, __eqx_1, __eqx_2) = skolem272(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem273(__eqx_0, __eqx_1) = skolem273(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem274(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem274(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem275(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem275(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem277(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem277(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem278(__eqx_0, __eqx_1) = skolem278(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem279(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem279(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem280(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem280(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem281(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem281(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem282(__eqx_0, __eqx_1) = skolem282(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem283(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem283(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 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) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem285(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem285(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem286(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem286(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem287(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem287(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem288(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem288(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem289(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem289(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.43 cnf(matrix-640, plain, ( ( __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) | ( skolem292(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem292(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.43 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem293(__eqx_0, __eqx_1, __eqx_2) = skolem293(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem294(__eqx_0, __eqx_1, __eqx_2) = skolem294(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem295(__eqx_0, __eqx_1, __eqx_2) = skolem295(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem296(__eqx_0, __eqx_1, __eqx_2) = skolem296(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem297(__eqx_0, __eqx_1, __eqx_2) = skolem297(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem298(__eqx_0, __eqx_1, __eqx_2) = skolem298(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem299(__eqx_0, __eqx_1, __eqx_2) = skolem299(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem300(__eqx_0, __eqx_1) = skolem300(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem301(__eqx_0, __eqx_1) = skolem301(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( skolem302(__eqx_0) = skolem302(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-652, 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)) )).
% 12.21/12.43 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem305(__eqx_0, __eqx_1, __eqx_2) = skolem305(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem306(__eqx_0, __eqx_1) = skolem306(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem307(__eqx_0, __eqx_1, __eqx_2) = skolem307(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem308(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem308(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( skolem309(__eqx_0) = skolem309(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem311(__eqx_0, __eqx_1) = skolem311(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem312(__eqx_0, __eqx_1, __eqx_2) = skolem312(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem313(__eqx_0, __eqx_1, __eqx_2) = skolem313(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem314(__eqx_0, __eqx_1, __eqx_2) = skolem314(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-663, 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)) )).
% 12.21/12.43 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem316(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem316(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem317(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem317(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem318(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem318(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem319(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem319(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem321(__eqx_0, __eqx_1) = skolem321(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem322(__eqx_0, __eqx_1, __eqx_2) = skolem322(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem323(__eqx_0, __eqx_1) = skolem323(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem324(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem324(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem325(__eqx_0, __eqx_1, __eqx_2) = skolem325(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-674, 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)) )).
% 12.21/12.43 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem327(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem327(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem328(__eqx_0, __eqx_1) = skolem328(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem329(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem329(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem330(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem330(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem331(__eqx_0, __eqx_1, __eqx_2) = skolem331(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem332(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem332(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-681, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem333(__eqx_0, __eqx_1, __eqx_2) = skolem333(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem334(__eqx_0, __eqx_1, __eqx_2) = skolem334(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem335(__eqx_0, __eqx_1, __eqx_2) = skolem335(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem336(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem336(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.43 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem337(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem337(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.43 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem338(__eqx_0, __eqx_1) = skolem338(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem339(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem339(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-688, 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)) )).
% 12.21/12.43 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem341(__eqx_0, __eqx_1, __eqx_2) = skolem341(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem342(__eqx_0, __eqx_1) = skolem342(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-691, 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)) )).
% 12.21/12.43 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem344(__eqx_0, __eqx_1, __eqx_2) = skolem344(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-693, 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)) )).
% 12.21/12.43 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem346(__eqx_0, __eqx_1, __eqx_2) = skolem346(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem347(__eqx_0, __eqx_1, __eqx_2) = skolem347(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-697, 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)) )).
% 12.21/12.43 cnf(matrix-698, 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)) )).
% 12.21/12.43 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem351(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem351(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-700, 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)) )).
% 12.21/12.43 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem353(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem353(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-702, 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)) )).
% 12.21/12.43 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem355(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem355(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem356(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem356(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-705, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem357(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem357(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem358(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem358(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem359(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem359(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem360(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem360(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem361(__eqx_0, __eqx_1) = skolem361(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem362(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem362(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem363(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem363(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-712, plain, ( ( __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) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem365(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem365(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-714, 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)) )).
% 12.21/12.43 cnf(matrix-715, 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)) )).
% 12.21/12.43 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem368(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem368(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-719, plain, ( ( __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) | ( skolem371(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem371(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem372(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem372(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-721, 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)) )).
% 12.21/12.43 cnf(matrix-722, 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)) )).
% 12.21/12.43 cnf(matrix-723, 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)) )).
% 12.21/12.43 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem376(__eqx_0, __eqx_1, __eqx_2) = skolem376(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-725, 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)) )).
% 12.21/12.43 cnf(matrix-726, plain, ( ( __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) | ( skolem378(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem378(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.43 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem379(__eqx_0, __eqx_1, __eqx_2) = skolem379(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem380(__eqx_0, __eqx_1, __eqx_2) = skolem380(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem381(__eqx_0, __eqx_1, __eqx_2) = skolem381(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem382(__eqx_0, __eqx_1) = skolem382(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem383(__eqx_0, __eqx_1, __eqx_2) = skolem383(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem384(__eqx_0, __eqx_1, __eqx_2) = skolem384(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem385(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem385(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem386(__eqx_0, __eqx_1, __eqx_2) = skolem386(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem387(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem387(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-736, plain, ( ( __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) | ( skolem388(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem388(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem389(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem389(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem391(__eqx_0, __eqx_1, __eqx_2) = skolem391(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem392(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem392(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem394(__eqx_0, __eqx_1, __eqx_2) = skolem394(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem395(__eqx_0, __eqx_1) = skolem395(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem396(__eqx_0, __eqx_1) = skolem396(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem397(__eqx_0, __eqx_1, __eqx_2) = skolem397(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem398(__eqx_0, __eqx_1) = skolem398(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem399(__eqx_0, __eqx_1, __eqx_2) = skolem399(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem401(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem401(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem402(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem402(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-751, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem403(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem403(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 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) | ( skolem404(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem404(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem406(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem406(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem407(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem407(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem408(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem408(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-757, plain, ( ( __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) | ( skolem409(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem409(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.43 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem410(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem410(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.43 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem411(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem411(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( skolem412(__eqx_0) = skolem412(__eqy_0)) )).
% 12.21/12.43 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem413(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem413(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem414(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem414(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem416(__eqx_0, __eqx_1, __eqx_2) = skolem416(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem417(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem417(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem418(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem418(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem420(__eqx_0, __eqx_1, __eqx_2) = skolem420(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem421(__eqx_0, __eqx_1, __eqx_2) = skolem421(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem422(__eqx_0, __eqx_1, __eqx_2) = skolem422(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem423(__eqx_0, __eqx_1, __eqx_2) = skolem423(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem424(__eqx_0, __eqx_1, __eqx_2) = skolem424(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem425(__eqx_0, __eqx_1) = skolem425(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem426(__eqx_0, __eqx_1) = skolem426(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem427(__eqx_0, __eqx_1, __eqx_2) = skolem427(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem428(__eqx_0, __eqx_1, __eqx_2) = skolem428(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem429(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem429(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem430(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem430(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem431(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem431(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem432(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem432(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem433(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem433(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem435(__eqx_0, __eqx_1, __eqx_2) = skolem435(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem436(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem436(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-786, 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)) )).
% 12.21/12.43 cnf(matrix-787, 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)) )).
% 12.21/12.43 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem440(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem440(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem441(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem441(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem442(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem442(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-791, 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)) )).
% 12.21/12.43 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem444(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem444(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem445(__eqx_0, __eqx_1) = skolem445(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem446(__eqx_0, __eqx_1, __eqx_2) = skolem446(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem447(__eqx_0, __eqx_1, __eqx_2) = skolem447(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem448(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem448(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem449(__eqx_0, __eqx_1, __eqx_2) = skolem449(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-799, 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)) )).
% 12.21/12.43 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem452(__eqx_0, __eqx_1, __eqx_2) = skolem452(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem453(__eqx_0, __eqx_1, __eqx_2) = skolem453(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem456(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem456(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.43 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem457(__eqx_0, __eqx_1) = skolem457(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem458(__eqx_0, __eqx_1, __eqx_2) = skolem458(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-807, 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)) )).
% 12.21/12.43 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem460(__eqx_0, __eqx_1) = skolem460(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem461(__eqx_0, __eqx_1) = skolem461(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem462(__eqx_0, __eqx_1, __eqx_2) = skolem462(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem463(__eqx_0, __eqx_1, __eqx_2) = skolem463(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem464(__eqx_0, __eqx_1, __eqx_2) = skolem464(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem465(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem465(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.43 cnf(matrix-814, 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)) )).
% 12.21/12.43 cnf(matrix-815, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem467(__eqx_0, __eqx_1, __eqx_2) = skolem467(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem468(__eqx_0, __eqx_1, __eqx_2) = skolem468(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem469(__eqx_0, __eqx_1, __eqx_2) = skolem469(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem470(__eqx_0, __eqx_1) = skolem470(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem471(__eqx_0, __eqx_1) = skolem471(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem472(__eqx_0, __eqx_1) = skolem472(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem473(__eqx_0, __eqx_1) = skolem473(__eqy_0, __eqy_1)) )).
% 12.21/12.43 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem474(__eqx_0, __eqx_1, __eqx_2) = skolem474(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem475(__eqx_0, __eqx_1, __eqx_2) = skolem475(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem476(__eqx_0, __eqx_1, __eqx_2) = skolem476(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.43 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem477(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem477(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem478(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem478(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem479(__eqx_0, __eqx_1, __eqx_2) = skolem479(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem480(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem480(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem481(__eqx_0, __eqx_1) = skolem481(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem482(__eqx_0, __eqx_1) = skolem482(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem483(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem483(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem484(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem484(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem485(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem485(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem486(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem486(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem487(__eqx_0, __eqx_1) = skolem487(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem488(__eqx_0, __eqx_1) = skolem488(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem489(__eqx_0, __eqx_1) = skolem489(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem490(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem490(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.21/12.44 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem491(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem491(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem492(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem492(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem493(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem493(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem494(__eqx_0, __eqx_1) = skolem494(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem495(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem495(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem496(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem496(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem497(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem497(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem498(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem498(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem499(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem499(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem500(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem500(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem501(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem501(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 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) | ( skolem502(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem502(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.21/12.44 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem503(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem503(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem504(__eqx_0, __eqx_1, __eqx_2) = skolem504(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem505(__eqx_0, __eqx_1, __eqx_2) = skolem505(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem506(__eqx_0, __eqx_1, __eqx_2) = skolem506(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem507(__eqx_0, __eqx_1, __eqx_2) = skolem507(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem508(__eqx_0, __eqx_1, __eqx_2) = skolem508(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem509(__eqx_0, __eqx_1, __eqx_2) = skolem509(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem510(__eqx_0, __eqx_1, __eqx_2) = skolem510(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem511(__eqx_0, __eqx_1, __eqx_2) = skolem511(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem512(__eqx_0, __eqx_1, __eqx_2) = skolem512(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem513(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem513(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem514(__eqx_0, __eqx_1, __eqx_2) = skolem514(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem515(__eqx_0, __eqx_1, __eqx_2) = skolem515(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem516(__eqx_0, __eqx_1, __eqx_2) = skolem516(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem517(__eqx_0, __eqx_1, __eqx_2) = skolem517(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem518(__eqx_0, __eqx_1, __eqx_2) = skolem518(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem519(__eqx_0, __eqx_1) = skolem519(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-868, 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)) )).
% 12.21/12.44 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem521(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem521(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem522(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem522(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem523(__eqx_0, __eqx_1) = skolem523(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-872, 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)) )).
% 12.21/12.44 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem525(__eqx_0, __eqx_1, __eqx_2) = skolem525(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem526(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem526(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem527(__eqx_0, __eqx_1, __eqx_2) = skolem527(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem528(__eqx_0, __eqx_1, __eqx_2) = skolem528(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem529(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem529(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-878, 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)) )).
% 12.21/12.44 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem531(__eqx_0, __eqx_1, __eqx_2) = skolem531(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem532(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem532(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.21/12.44 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem533(__eqx_0, __eqx_1, __eqx_2) = skolem533(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem534(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem534(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem535(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem535(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem536(__eqx_0, __eqx_1, __eqx_2) = skolem536(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.21/12.44 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem537(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem537(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-886, 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)) )).
% 12.21/12.44 cnf(matrix-887, 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)) )).
% 12.21/12.44 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem540(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem540(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.21/12.44 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem541(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem541(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem542(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem542(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.21/12.44 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem543(__eqx_0, __eqx_1) = skolem543(__eqy_0, __eqy_1)) )).
% 12.21/12.44 cnf(matrix-892, 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)) )).
% 12.21/12.44 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__derivs(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__derivs(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.21/12.44 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.21/12.44 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 12.21/12.44 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 12.21/12.44 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 12.21/12.44 cnf(matrix-902, 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) )).
% 12.21/12.44 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~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) )).
% 12.21/12.44 cnf(matrix-904, 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) )).
% 12.21/12.44 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 12.21/12.44 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 12.21/12.44 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 12.21/12.44 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 12.21/12.44 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.21/12.44 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-916, 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) )).
% 12.21/12.44 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.21/12.44 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 12.21/12.44 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Equiv__Relations_Ocongruent2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Equiv__Relations_Ocongruent2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.21/12.44 cnf(matrix-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) )).
% 12.21/12.44 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) )).
% 12.21/12.44 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Oequivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Oequivp(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 12.21/12.44 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 12.21/12.44 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 12.21/12.44 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.21/12.44 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Finite__Set_Ofolding__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Finite__Set_Ofolding__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.21/12.44 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.21/12.44 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.21/12.44 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Big__Operators_Osemilattice__big(__eqx_0, __eqx_1, __eqx_2) | c_Big__Operators_Osemilattice__big(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Big__Operators_Ocomm__monoid__big(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Big__Operators_Ocomm__monoid__big(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.21/12.44 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.21/12.44 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.21/12.44 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.21/12.44 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.21/12.44 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 12.21/12.44 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 12.21/12.44 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.21/12.44 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.21/12.44 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.21/12.44 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.21/12.44 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.21/12.44 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.21/12.44 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.21/12.44 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.21/12.44 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Wellfounded_Omax__extp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Wellfounded_Omax__extp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.21/12.44 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 12.21/12.44 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 12.21/12.44 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 12.21/12.44 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 12.21/12.44 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 12.21/12.44 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Oreduction__pair(__eqx_0, __eqx_1) | c_FunDef_Oreduction__pair(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Nat__Transfer_Otransfer__morphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Nat__Transfer_Otransfer__morphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 12.21/12.44 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Typedef_Otype__definition(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Typedef_Otype__definition(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.21/12.44 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Owf_H(__eqx_0, __eqx_1) | c_Nitpick_Owf_H(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Ototal__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Ototal__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1015, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1016, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.21/12.44 cnf(matrix-1018, plain, ( ( __eqx_0 != __eqy_0) | ~class_Smallcheck_Osmall(__eqx_0) | class_Smallcheck_Osmall(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_List_Olistrelp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_List_Olistrelp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.21/12.44 cnf(matrix-1021, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oequal(__eqx_0) | class_HOL_Oequal(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1022, 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) )).
% 12.21/12.44 cnf(matrix-1023, 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) )).
% 12.21/12.44 cnf(matrix-1024, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1025, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Olinorder__class_Osorted(__eqx_0, __eqx_1) | c_List_Olinorder__class_Osorted(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_List_Olist__all2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_List_Olist__all2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.21/12.44 cnf(matrix-1027, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1028, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1029, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__eq__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__eq__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__all(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__all(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1032, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex1(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex1(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1033, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Ois__measure(__eqx_0, __eqx_1) | c_FunDef_Ois__measure(__eqy_0, __eqy_1) )).
% 12.21/12.44 cnf(matrix-1034, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1036, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__int(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__int(__eqy_0, __eqy_1, __eqy_2) )).
% 12.21/12.44 cnf(matrix-1037, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.21/12.44 cnf(matrix-1038, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.21/12.44 cnf(matrix-1039, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1040, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7), tc_HOL_Obool)), _u8), _u9)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u9, _u8) )).
% 12.21/12.44 cnf(matrix-1042, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, _u12) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10), tc_HOL_Obool)), _u13), _u12)) | c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, _u13) )).
% 12.21/12.44 cnf(matrix-1043, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u14, _u15, _u16) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u14, _u17, _u15) | c_Hoare__Mirabelle_Ohoare__derivs(_u14, _u17, _u16) )).
% 12.21/12.44 cnf(matrix-1044, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u18, _u19, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u18)), _u20), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u18), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u18, _u19, _u21) | c_Hoare__Mirabelle_Ohoare__derivs(_u18, _u19, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u18)), _u20), _u21)) )).
% 12.21/12.44 cnf(matrix-1045, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u22, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u22, tc_HOL_Obool))), _u23)) )).
% 12.21/12.44 cnf(matrix-1046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u24, tc_HOL_Obool)), _u25), hAPP(hAPP(c_Set_Oinsert(_u24), _u26), c_Orderings_Obot__class_Obot(tc_fun(_u24, tc_HOL_Obool))))) | ( _u25 = c_Orderings_Obot__class_Obot(tc_fun(_u24, tc_HOL_Obool))) | ( _u25 = hAPP(hAPP(c_Set_Oinsert(_u24), _u26), c_Orderings_Obot__class_Obot(tc_fun(_u24, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u27, tc_HOL_Obool)), _u28), _u29)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u27, tc_HOL_Obool)), _u29), _u28)) | ( _u28 = _u29) )).
% 12.21/12.44 cnf(matrix-1048, plain, ( ~class_Orderings_Opreorder(_u30) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u30), _u31), _u31)) )).
% 12.21/12.44 cnf(matrix-1049, plain, ( ~class_Orderings_Obot(_u32) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u33, _u32)), _u34) = c_Orderings_Obot__class_Obot(_u32)) )).
% 12.21/12.44 cnf(matrix-1050, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u35, tc_HOL_Obool)), _u36), hAPP(hAPP(c_Set_Oinsert(_u35), _u37), _u36))) )).
% 12.21/12.44 cnf(matrix-1051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u38, tc_HOL_Obool)), _u39), _u40)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u38, tc_HOL_Obool)), _u39), hAPP(hAPP(c_Set_Oinsert(_u38), _u41), _u40))) )).
% 12.21/12.44 cnf(matrix-1052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u42, tc_HOL_Obool)), _u43), _u44)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u42, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u42), _u45), _u43)), hAPP(hAPP(c_Set_Oinsert(_u42), _u45), _u44))) )).
% 12.21/12.44 cnf(matrix-1053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u50), c_Orderings_Obot__class_Obot(tc_fun(_u48, tc_HOL_Obool)))) | ( _u50 = c_Orderings_Obot__class_Obot(tc_fun(_u48, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1054, plain, ( ( _u51 != c_Orderings_Obot__class_Obot(tc_fun(_u49, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u49, tc_HOL_Obool)), _u51), c_Orderings_Obot__class_Obot(tc_fun(_u49, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1055, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u52, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u52), _u53), _u54)) )).
% 12.21/12.44 cnf(matrix-1056, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u55), _u56), _u57) != c_Orderings_Obot__class_Obot(tc_fun(_u55, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1057, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u65 = _u71) )).
% 12.21/12.44 cnf(matrix-1058, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u65 = _u69) | ( _u67 = _u69) )).
% 12.21/12.44 cnf(matrix-1059, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u65 = _u71) )).
% 12.21/12.44 cnf(matrix-1060, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u63), _u65), hAPP(hAPP(c_Set_Oinsert(_u63), _u67), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u63), _u69), hAPP(hAPP(c_Set_Oinsert(_u63), _u71), c_Orderings_Obot__class_Obot(tc_fun(_u63, tc_HOL_Obool))))) | ( _u67 = _u71) | ( _u67 = _u69) )).
% 12.21/12.44 cnf(matrix-1061, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 != _u70) | ( _u68 != _u72) )).
% 12.21/12.44 cnf(matrix-1062, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 != _u72) | ( _u68 != _u70) )).
% 12.21/12.44 cnf(matrix-1063, plain, ( ~class_Orderings_Olinorder(_u73) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u73), _u74), _u75)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u73), _u75), _u74)) )).
% 12.21/12.44 cnf(matrix-1064, plain, ( ~class_Orderings_Oorder(_u76) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u76), _u77), _u78)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u76), _u79), _u77)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u76), _u79), _u78)) )).
% 12.21/12.44 cnf(matrix-1065, plain, ( ~class_Orderings_Oorder(_u80) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u80), _u81), _u82)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u80), _u82), _u81)) | ( _u82 = _u81) )).
% 12.21/12.44 cnf(matrix-1066, plain, ( ~class_Orderings_Opreorder(_u83) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u83), _u84), _u85)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u83), _u85), _u86)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u83), _u84), _u86)) )).
% 12.21/12.44 cnf(matrix-1067, plain, ( ~class_Orderings_Oorder(_u87) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u87), _u88), _u89)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u87), _u89), _u88)) | ( _u88 = _u89) )).
% 12.21/12.44 cnf(matrix-1068, plain, ( ~class_Orderings_Oorder(_u90) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u90), _u91), _u92)) | ( _u91 != _u93) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u90), _u93), _u92)) )).
% 12.21/12.44 cnf(matrix-1069, plain, ( ~class_Orderings_Oord(_u94) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u95), _u96)) | ( _u96 != _u97) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u95), _u97)) )).
% 12.21/12.44 cnf(matrix-1070, plain, ( ~class_Orderings_Oorder(_u98) | ( _u99 != _u100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u98), _u101), _u100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u98), _u101), _u99)) )).
% 12.21/12.44 cnf(matrix-1071, plain, ( ~class_Orderings_Oord(_u102) | ( _u103 != _u104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u102), _u104), _u105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u102), _u103), _u105)) )).
% 12.21/12.44 cnf(matrix-1072, plain, ( ~class_Orderings_Oorder(_u106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u107), _u108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u108), _u107)) | ( _u108 = _u107) )).
% 12.21/12.44 cnf(matrix-1073, plain, ( ~class_Orderings_Oorder(_u106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u107), _u108)) | ( _u108 != _u107) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u108), _u107)) )).
% 12.21/12.44 cnf(matrix-1074, plain, ( ~class_Orderings_Opreorder(_u109) | ( _u110 != _u111) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u109), _u110), _u111)) )).
% 12.21/12.44 cnf(matrix-1075, plain, ( ~class_Orderings_Oorder(_u112) | ( _u113 != _u114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u113), _u114)) )).
% 12.21/12.44 cnf(matrix-1076, plain, ( ~class_Orderings_Oorder(_u112) | ( _u113 != _u114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u114), _u113)) )).
% 12.21/12.44 cnf(matrix-1077, plain, ( ~class_Orderings_Oorder(_u112) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u113), _u114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u112), _u114), _u113)) | ( _u113 = _u114) )).
% 12.21/12.44 cnf(matrix-1078, plain, ( ~class_Orderings_Olinorder(_u115) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u116), _u117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u117), _u116)) )).
% 12.21/12.44 cnf(matrix-1079, plain, ( ( _u124 = _u128) | hBOOL(hAPP(_u126, _u128)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u122), _u124), _u126), _u128)) )).
% 12.21/12.44 cnf(matrix-1080, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u123), _u125), _u127), _u129)) | ( _u125 != _u129) )).
% 12.21/12.44 cnf(matrix-1081, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u123), _u125), _u127), _u129)) | ~hBOOL(hAPP(_u127, _u129)) )).
% 12.21/12.44 cnf(matrix-1082, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u130), _u131), hAPP(hAPP(c_Set_Oinsert(_u130), _u132), _u133)) = hAPP(hAPP(c_Set_Oinsert(_u130), _u132), hAPP(hAPP(c_Set_Oinsert(_u130), _u131), _u133))) )).
% 12.21/12.44 cnf(matrix-1083, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u134), _u135), hAPP(hAPP(c_Set_Oinsert(_u134), _u135), _u136)) = hAPP(hAPP(c_Set_Oinsert(_u134), _u135), _u136)) )).
% 12.21/12.44 cnf(matrix-1084, plain, ( ( _u137 != _u138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u139, tc_HOL_Obool)), _u137), _u138)) )).
% 12.21/12.44 cnf(matrix-1085, plain, ( ( _u137 != _u138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u139, tc_HOL_Obool)), _u138), _u137)) )).
% 12.21/12.44 cnf(matrix-1086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u140, tc_HOL_Obool)), _u141), _u142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u140, tc_HOL_Obool)), _u142), _u143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u140, tc_HOL_Obool)), _u141), _u143)) )).
% 12.21/12.44 cnf(matrix-1087, plain, ( ( _u144 != _u145) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u146, tc_HOL_Obool)), _u145), _u144)) )).
% 12.21/12.44 cnf(matrix-1088, plain, ( ( _u147 != _u148) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u149, tc_HOL_Obool)), _u147), _u148)) )).
% 12.21/12.44 cnf(matrix-1089, plain, ( ( _u153 != _u155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u157, tc_HOL_Obool)), _u153), _u155)) )).
% 12.21/12.44 cnf(matrix-1090, plain, ( ( _u153 != _u155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u157, tc_HOL_Obool)), _u155), _u153)) )).
% 12.21/12.44 cnf(matrix-1091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u158, tc_HOL_Obool)), _u154), _u156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u158, tc_HOL_Obool)), _u156), _u154)) | ( _u154 = _u156) )).
% 12.21/12.44 cnf(matrix-1092, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), _u160), _u160)) )).
% 12.21/12.44 cnf(matrix-1093, plain, ( ~class_Orderings_Obot(_u161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u161), c_Orderings_Obot__class_Obot(_u161)), _u162)) )).
% 12.21/12.44 cnf(matrix-1094, plain, ( ~class_Orderings_Oord(_u163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u164, _u163)), _u165), _u166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u163), hAPP(_u165, _u167)), hAPP(_u166, _u167))) )).
% 12.21/12.44 cnf(matrix-1095, plain, ( ~class_Orderings_Oord(_u168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u169, _u168)), _u170), _u171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u168), hAPP(_u170, _u172)), hAPP(_u171, _u172))) )).
% 12.21/12.44 cnf(matrix-1096, plain, ( ~class_Orderings_Oord(_u175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u176, _u175)), _u177), _u178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u175), hAPP(_u177, _u173)), hAPP(_u178, _u173))) )).
% 12.21/12.44 cnf(matrix-1097, plain, ( ~class_Orderings_Oord(_u175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u175), hAPP(_u177, skolem2(_u178, _u177, _u176, _u175))), hAPP(_u178, skolem2(_u178, _u177, _u176, _u175)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u176, _u175)), _u177), _u178)) )).
% 12.21/12.44 cnf(matrix-1098, plain, ( ~class_Orderings_Obot(_u179) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u180, _u179)), _u181) = c_Orderings_Obot__class_Obot(_u179)) )).
% 12.21/12.44 cnf(matrix-1099, plain, ( ( _u183 = _u184) | ( hAPP(hAPP(c_Set_Oinsert(_u182), _u183), c_Orderings_Obot__class_Obot(tc_fun(_u182, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u182), _u184), c_Orderings_Obot__class_Obot(tc_fun(_u182, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1100, plain, ( ( c_Set_Othe__elem(_u185, hAPP(hAPP(c_Set_Oinsert(_u185), _u186), c_Orderings_Obot__class_Obot(tc_fun(_u185, tc_HOL_Obool)))) = _u186) )).
% 12.21/12.44 cnf(matrix-1101, plain, ( ~hBOOL(hAPP(_u188, _u190)) | hBOOL(hAPP(_u189, _u190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u188), _u189)) )).
% 12.21/12.44 cnf(matrix-1102, plain, ( ~hBOOL(hAPP(_u191, _u192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u193, tc_HOL_Obool)), _u191), _u194)) | hBOOL(hAPP(_u194, _u192)) )).
% 12.21/12.44 cnf(matrix-1103, plain, ( ~class_Orderings_Oorder(_u195) | ~class_Enum_Oenum(_u196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u196, _u195)), _u197), _u198)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u196), hAPP(hAPP(c_COMBS(_u196, _u195, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u195, tc_fun(_u195, tc_HOL_Obool), _u196), c_Orderings_Oord__class_Oless__eq(_u195)), _u197)), _u198))) )).
% 12.21/12.44 cnf(matrix-1104, plain, ( ~class_Orderings_Oorder(_u195) | ~class_Enum_Oenum(_u196) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u196), hAPP(hAPP(c_COMBS(_u196, _u195, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u195, tc_fun(_u195, tc_HOL_Obool), _u196), c_Orderings_Oord__class_Oless__eq(_u195)), _u197)), _u198))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u196, _u195)), _u197), _u198)) )).
% 12.21/12.44 cnf(matrix-1105, plain, ( ~class_Orderings_Owellorder(_u199) | ~hBOOL(hAPP(_u200, _u201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u199), c_Orderings_Oord__class_OLeast(_u199, _u200)), _u201)) )).
% 12.21/12.44 cnf(matrix-1106, plain, ( ~class_Orderings_Oord(_u203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u203), hAPP(_u204, skolem3(_u206, _u205, _u204, _u203))), hAPP(_u205, skolem3(_u206, _u205, _u204, _u203)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u206, _u203)), _u204), _u205)) )).
% 12.21/12.44 cnf(matrix-1107, plain, ( ~class_Orderings_Oorder(_u207) | ~class_Orderings_Olinorder(_u208) | ~c_Orderings_Oorder__class_Ostrict__mono(_u208, _u207, _u209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u207), hAPP(_u209, _u210)), hAPP(_u209, _u211))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u208), _u210), _u211)) )).
% 12.21/12.44 cnf(matrix-1108, plain, ( ~class_Orderings_Oorder(_u207) | ~class_Orderings_Olinorder(_u208) | ~c_Orderings_Oorder__class_Ostrict__mono(_u208, _u207, _u209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u208), _u210), _u211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u207), hAPP(_u209, _u210)), hAPP(_u209, _u211))) )).
% 12.21/12.44 cnf(matrix-1109, plain, ( ( c_Set_Othe__elem(_u212, _u213) = c_HOL_OThe(_u212, hAPP(hAPP(c_COMBB(tc_fun(_u212, tc_HOL_Obool), tc_HOL_Obool, _u212), hAPP(c_fequal, _u213)), hAPP(hAPP(c_COMBC(_u212, tc_fun(_u212, tc_HOL_Obool), tc_fun(_u212, tc_HOL_Obool)), c_Set_Oinsert(_u212)), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1110, plain, ( ~hBOOL(hAPP(_u217, _u219)) | ( hAPP(c_Set_OCollect(_u221), hAPP(hAPP(c_COMBS(_u221, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u221), c_fconj), hAPP(hAPP(c_COMBC(_u221, _u221, tc_HOL_Obool), c_fequal), _u219))), _u217)) = hAPP(hAPP(c_Set_Oinsert(_u221), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u221, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1111, plain, ( hBOOL(hAPP(_u218, _u220)) | ( hAPP(c_Set_OCollect(_u222), hAPP(hAPP(c_COMBS(_u222, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u222), c_fconj), hAPP(hAPP(c_COMBC(_u222, _u222, tc_HOL_Obool), c_fequal), _u220))), _u218)) = c_Orderings_Obot__class_Obot(tc_fun(_u222, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1112, plain, ( ~hBOOL(hAPP(_u226, _u228)) | ( hAPP(c_Set_OCollect(_u230), hAPP(hAPP(c_COMBS(_u230, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u230), c_fconj), hAPP(c_fequal, _u228))), _u226)) = hAPP(hAPP(c_Set_Oinsert(_u230), _u228), c_Orderings_Obot__class_Obot(tc_fun(_u230, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1113, plain, ( hBOOL(hAPP(_u227, _u229)) | ( hAPP(c_Set_OCollect(_u231), hAPP(hAPP(c_COMBS(_u231, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u231), c_fconj), hAPP(c_fequal, _u229))), _u227)) = c_Orderings_Obot__class_Obot(tc_fun(_u231, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1114, plain, ( ( hAPP(c_Set_OCollect(_u232), hAPP(hAPP(c_COMBC(_u232, _u232, tc_HOL_Obool), c_fequal), _u233)) = hAPP(hAPP(c_Set_Oinsert(_u232), _u233), c_Orderings_Obot__class_Obot(tc_fun(_u232, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1115, plain, ( ( hAPP(c_Set_OCollect(_u234), hAPP(c_fequal, _u235)) = hAPP(hAPP(c_Set_Oinsert(_u234), _u235), c_Orderings_Obot__class_Obot(tc_fun(_u234, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1116, plain, ( ( hAPP(c_Set_OCollect(_u236), _u237) = _u237) )).
% 12.21/12.44 cnf(matrix-1117, plain, ( ~class_Enum_Oenum(_u240) | ~hBOOL(hAPP(_u241, skolem4(_u241, _u240))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u240), _u241)) )).
% 12.21/12.44 cnf(matrix-1118, plain, ( ~class_Enum_Oenum(_u240) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u240), _u241)) | hBOOL(hAPP(_u241, _u239)) )).
% 12.21/12.44 cnf(matrix-1119, plain, ( ~class_Enum_Oenum(_u244) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u244), _u245)) | hBOOL(hAPP(_u245, _u242)) )).
% 12.21/12.44 cnf(matrix-1120, plain, ( ~class_Enum_Oenum(_u244) | ~hBOOL(hAPP(_u245, skolem5(_u245, _u244))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u244), _u245)) )).
% 12.21/12.44 cnf(matrix-1121, plain, ( ~class_Orderings_Owellorder(_u247) | ~hBOOL(hAPP(_u248, _u246)) | hBOOL(hAPP(_u248, c_Orderings_Oord__class_OLeast(_u247, _u248))) )).
% 12.21/12.44 cnf(matrix-1122, plain, ( ~class_Orderings_Oorder(_u249) | ~class_Orderings_Olinorder(_u250) | ~c_Orderings_Oorder__class_Ostrict__mono(_u250, _u249, _u251) | ( hAPP(_u251, _u252) != hAPP(_u251, _u253)) | ( _u252 = _u253) )).
% 12.21/12.44 cnf(matrix-1123, plain, ( ~class_Orderings_Oorder(_u249) | ~class_Orderings_Olinorder(_u250) | ~c_Orderings_Oorder__class_Ostrict__mono(_u250, _u249, _u251) | ( _u252 != _u253) | ( hAPP(_u251, _u252) = hAPP(_u251, _u253)) )).
% 12.21/12.44 cnf(matrix-1124, plain, ( ~hBOOL(hAPP(_u260, _u254)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u258, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u258), _u260)) )).
% 12.21/12.44 cnf(matrix-1125, plain, ( hBOOL(hAPP(_u261, skolem6(_u261))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u259, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u259), _u261)) )).
% 12.21/12.44 cnf(matrix-1126, plain, ( ~hBOOL(hAPP(_u268, _u262)) | ( hAPP(c_Set_OCollect(_u266), _u268) != c_Orderings_Obot__class_Obot(tc_fun(_u266, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1127, plain, ( hBOOL(hAPP(_u269, skolem7(_u269))) | ( hAPP(c_Set_OCollect(_u267), _u269) = c_Orderings_Obot__class_Obot(tc_fun(_u267, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1128, plain, ( ~class_Orderings_Owellorder(_u270) | ~hBOOL(hAPP(_u271, _u272)) | hBOOL(hAPP(_u271, c_Orderings_Oord__class_OLeast(_u270, _u271))) )).
% 12.21/12.44 cnf(matrix-1129, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u273, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u273), hAPP(c_COMBK(tc_HOL_Obool, _u273), c_fFalse))) )).
% 12.21/12.44 cnf(matrix-1130, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u274), _u275), hAPP(c_Set_OCollect(_u274), _u276)) = hAPP(c_Set_OCollect(_u274), hAPP(hAPP(c_COMBS(_u274, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u274), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u274), c_fNot), hAPP(hAPP(c_COMBC(_u274, _u274, tc_HOL_Obool), c_fequal), _u275)))), _u276))) )).
% 12.21/12.44 cnf(matrix-1131, plain, ( ( c_Enum_Oenum__the(_u277, _u278) = c_HOL_OThe(_u277, _u278)) )).
% 12.21/12.44 cnf(matrix-1132, plain, ( ( c_HOL_OThe(_u279, hAPP(hAPP(c_COMBC(_u279, _u279, tc_HOL_Obool), c_fequal), _u280)) = _u280) )).
% 12.21/12.44 cnf(matrix-1133, plain, ( ( c_HOL_OThe(_u281, hAPP(c_fequal, _u282)) = _u282) )).
% 12.21/12.44 cnf(matrix-1134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u283, tc_HOL_Obool)), _u284), _u285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u283, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u283, _u284)), c_Predicate_OPowp(_u283, _u285))) )).
% 12.21/12.44 cnf(matrix-1135, plain, ( ~class_Orderings_Oorder(_u287) | ~hBOOL(hAPP(_u288, _u289)) | ( c_Orderings_Oord__class_OLeast(_u287, _u288) = _u289) | hBOOL(hAPP(_u288, skolem8(_u289, _u288, _u287))) )).
% 12.21/12.44 cnf(matrix-1136, plain, ( ~class_Orderings_Oorder(_u287) | ~hBOOL(hAPP(_u288, _u289)) | ( c_Orderings_Oord__class_OLeast(_u287, _u288) = _u289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u287), _u289), skolem8(_u289, _u288, _u287))) )).
% 12.21/12.44 cnf(matrix-1137, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u293, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u293), _u291)), hAPP(c_Set_OCollect(_u293), _u292))) | hBOOL(hAPP(_u291, skolem9(_u293, _u292, _u291))) )).
% 12.21/12.44 cnf(matrix-1138, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u293, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u293), _u291)), hAPP(c_Set_OCollect(_u293), _u292))) | ~hBOOL(hAPP(_u292, skolem9(_u293, _u292, _u291))) )).
% 12.21/12.44 cnf(matrix-1139, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u294), _u295), _u296) = hAPP(c_Set_OCollect(_u294), hAPP(hAPP(c_COMBS(_u294, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u294), c_fdisj), hAPP(hAPP(c_COMBC(_u294, _u294, tc_HOL_Obool), c_fequal), _u295))), hAPP(hAPP(c_COMBC(_u294, tc_fun(_u294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u294)), _u296)))) )).
% 12.21/12.44 cnf(matrix-1140, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u297), _u298), _u299) = hAPP(c_Set_OCollect(_u297), hAPP(hAPP(c_COMBS(_u297, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u297), c_fdisj), hAPP(hAPP(c_COMBC(_u297, _u297, tc_HOL_Obool), c_fequal), _u298))), hAPP(hAPP(c_COMBC(_u297, tc_fun(_u297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u297)), _u299)))) )).
% 12.21/12.44 cnf(matrix-1141, plain, ( hBOOL(hAPP(hAPP(_u310, hAPP(_u312, _u314)), hAPP(_u312, _u316))) | ~c_Predicate_Oinv__imagep(_u306, _u308, _u310, _u312, _u314, _u316) )).
% 12.21/12.44 cnf(matrix-1142, plain, ( ~hBOOL(hAPP(hAPP(_u311, hAPP(_u313, _u315)), hAPP(_u313, _u317))) | c_Predicate_Oinv__imagep(_u307, _u309, _u311, _u313, _u315, _u317) )).
% 12.21/12.44 cnf(matrix-1143, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u318), _u319), _u320) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u318, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u318), hAPP(hAPP(c_COMBC(_u318, _u318, tc_HOL_Obool), c_fequal), _u319))), _u320)) )).
% 12.21/12.44 cnf(matrix-1144, plain, ( ( _u325 != c_Orderings_Obot__class_Obot(tc_fun(_u327, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u327, _u329, hAPP(c_COMBK(_u329, _u327), _u331)), _u325) = c_Orderings_Obot__class_Obot(tc_fun(_u329, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1145, plain, ( ( _u326 = c_Orderings_Obot__class_Obot(tc_fun(_u328, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u328, _u330, hAPP(c_COMBK(_u330, _u328), _u332)), _u326) = hAPP(hAPP(c_Set_Oinsert(_u330), _u332), c_Orderings_Obot__class_Obot(tc_fun(_u330, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1146, plain, ( ~class_Orderings_Oorder(_u333) | ~class_Orderings_Oorder(_u334) | ~c_Orderings_Oorder__class_Ostrict__mono(_u334, _u333, _u335) | c_Orderings_Oorder__class_Omono(_u334, _u333, _u335) )).
% 12.21/12.44 cnf(matrix-1147, plain, ( ( _u336 != _u337) | hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u336)) | ~hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u337)) )).
% 12.21/12.44 cnf(matrix-1148, plain, ( ( _u336 != _u337) | hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u337)) | ~hBOOL(hAPP(hAPP(c_member(_u338), _u339), _u336)) )).
% 12.21/12.44 cnf(matrix-1149, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u343, tc_HOL_Obool)), _u342), _u340), _u341)) | ~hBOOL(hAPP(_u340, _u341)) )).
% 12.21/12.44 cnf(matrix-1150, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u343, tc_HOL_Obool)), _u342), _u340), _u341)) | ~hBOOL(hAPP(_u342, _u341)) )).
% 12.21/12.44 cnf(matrix-1151, plain, ( hBOOL(hAPP(_u345, _u347)) | hBOOL(hAPP(_u346, _u347)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u344, tc_HOL_Obool)), _u345), _u346), _u347)) )).
% 12.21/12.44 cnf(matrix-1152, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u348), _u349), c_Orderings_Obot__class_Obot(tc_fun(_u348, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1153, plain, ( hBOOL(hAPP(hAPP(c_member(_u350), _u351), hAPP(hAPP(c_Set_Oinsert(_u350), _u353), _u352))) | ~hBOOL(hAPP(hAPP(c_member(_u350), _u351), _u352)) )).
% 12.21/12.44 cnf(matrix-1154, plain, ( hBOOL(hAPP(hAPP(c_member(_u350), _u351), hAPP(hAPP(c_Set_Oinsert(_u350), _u353), _u352))) | ( _u351 != _u353) )).
% 12.21/12.44 cnf(matrix-1155, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u354), _u355), hAPP(hAPP(c_Set_Oinsert(_u354), _u356), _u357))) | ( _u355 = _u356) | hBOOL(hAPP(hAPP(c_member(_u354), _u355), _u357)) )).
% 12.21/12.44 cnf(matrix-1156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u358, tc_HOL_Obool)), _u359), _u360)) | ~hBOOL(hAPP(hAPP(c_member(_u358), _u361), _u359)) | hBOOL(hAPP(hAPP(c_member(_u358), _u361), _u360)) )).
% 12.21/12.44 cnf(matrix-1157, plain, ( ( _u362 != hAPP(_u363, _u364)) | ~hBOOL(hAPP(hAPP(c_member(_u365), _u364), _u366)) | hBOOL(hAPP(hAPP(c_member(_u367), _u362), hAPP(c_Set_Oimage(_u365, _u367, _u363), _u366))) )).
% 12.21/12.44 cnf(matrix-1158, plain, ( hBOOL(hAPP(hAPP(c_member(_u368), _u369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u368, tc_HOL_Obool)), _u371), _u370))) | ~hBOOL(hAPP(hAPP(c_member(_u368), _u369), _u370)) )).
% 12.21/12.44 cnf(matrix-1159, plain, ( hBOOL(hAPP(hAPP(c_member(_u368), _u369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u368, tc_HOL_Obool)), _u371), _u370))) | ~hBOOL(hAPP(hAPP(c_member(_u368), _u369), _u371)) )).
% 12.21/12.44 cnf(matrix-1160, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u372), _u373), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u372, tc_HOL_Obool)), _u374), _u375))) | hBOOL(hAPP(hAPP(c_member(_u372), _u373), _u374)) | hBOOL(hAPP(hAPP(c_member(_u372), _u373), _u375)) )).
% 12.21/12.44 cnf(matrix-1161, plain, ( ~hBOOL(hAPP(_u376, _u377)) | hBOOL(hAPP(hAPP(c_member(_u378), _u377), hAPP(c_Set_OCollect(_u378), _u376))) )).
% 12.21/12.44 cnf(matrix-1162, plain, ( ~hBOOL(hAPP(_u379, _u380)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u381, tc_HOL_Obool)), _u382), _u379), _u380)) )).
% 12.21/12.44 cnf(matrix-1163, plain, ( ~hBOOL(hAPP(_u383, _u384)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u385, tc_HOL_Obool)), _u383), _u386), _u384)) )).
% 12.21/12.44 cnf(matrix-1164, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u391, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u391, tc_fun(_u391, tc_HOL_Obool), tc_HOL_Obool), c_member(_u391)), _u393)), hAPP(hAPP(c_COMBC(_u391, tc_fun(_u391, tc_HOL_Obool), tc_HOL_Obool), c_member(_u391)), _u395)), _u397)) | hBOOL(hAPP(hAPP(c_member(_u391), _u397), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u391, tc_HOL_Obool)), _u393), _u395))) )).
% 12.21/12.44 cnf(matrix-1165, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u392), _u398), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u392, tc_HOL_Obool)), _u394), _u396))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u392, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u392, tc_fun(_u392, tc_HOL_Obool), tc_HOL_Obool), c_member(_u392)), _u394)), hAPP(hAPP(c_COMBC(_u392, tc_fun(_u392, tc_HOL_Obool), tc_HOL_Obool), c_member(_u392)), _u396)), _u398)) )).
% 12.21/12.44 cnf(matrix-1166, plain, ( ( _u404 = _u406) | ~hBOOL(hAPP(hAPP(c_member(_u402), _u404), hAPP(c_fequal, _u406))) )).
% 12.21/12.44 cnf(matrix-1167, plain, ( ( _u405 != _u407) | hBOOL(hAPP(hAPP(c_member(_u403), _u405), hAPP(c_fequal, _u407))) )).
% 12.21/12.44 cnf(matrix-1168, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u408), _u409), _u410)) | ( _u411 != hAPP(_u412, _u409)) | hBOOL(hAPP(hAPP(c_member(_u413), _u411), hAPP(c_Set_Oimage(_u408, _u413, _u412), _u410))) )).
% 12.21/12.44 cnf(matrix-1169, plain, ( ( _u414 != _u415) | ~hBOOL(hAPP(hAPP(c_member(_u416), _u415), _u417)) | hBOOL(hAPP(hAPP(c_member(_u416), _u414), _u417)) )).
% 12.21/12.44 cnf(matrix-1170, plain, ( ( _u418 != _u419) | ~hBOOL(hAPP(hAPP(c_member(_u420), _u418), _u421)) | hBOOL(hAPP(hAPP(c_member(_u420), _u419), _u421)) )).
% 12.21/12.44 cnf(matrix-1171, plain, ( ( _u418 != _u419) | ~hBOOL(hAPP(hAPP(c_member(_u420), _u419), _u421)) | hBOOL(hAPP(hAPP(c_member(_u420), _u418), _u421)) )).
% 12.21/12.44 cnf(matrix-1172, plain, ( ( _u422 != _u423) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u422)) | hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u423)) )).
% 12.21/12.44 cnf(matrix-1173, plain, ( ( _u422 != _u423) | ~hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u423)) | hBOOL(hAPP(hAPP(c_member(_u424), _u425), _u422)) )).
% 12.21/12.44 cnf(matrix-1174, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u426), _u427), _u428)) | hBOOL(hAPP(hAPP(c_member(_u429), hAPP(_u430, _u427)), hAPP(c_Set_Oimage(_u426, _u429, _u430), _u428))) )).
% 12.21/12.44 cnf(matrix-1175, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u431), _u432), _u433)) | hBOOL(hAPP(hAPP(c_member(_u431), _u432), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u431, tc_HOL_Obool)), _u434), _u433))) )).
% 12.21/12.44 cnf(matrix-1176, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u435), _u436), _u437)) | hBOOL(hAPP(hAPP(c_member(_u435), _u436), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u435, tc_HOL_Obool)), _u437), _u438))) )).
% 12.21/12.44 cnf(matrix-1177, plain, ( hBOOL(hAPP(hAPP(c_member(_u449), skolem10(_u455, _u453, _u451, _u449)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u449, tc_HOL_Obool)), _u451), _u453))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u440), _u451)) | hBOOL(hAPP(_u455, _u440)) )).
% 12.21/12.44 cnf(matrix-1178, plain, ( hBOOL(hAPP(hAPP(c_member(_u449), skolem10(_u455, _u453, _u451, _u449)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u449, tc_HOL_Obool)), _u451), _u453))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u441), _u453)) | hBOOL(hAPP(_u455, _u441)) )).
% 12.21/12.44 cnf(matrix-1179, plain, ( ~hBOOL(hAPP(_u455, skolem10(_u455, _u453, _u451, _u449))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u440), _u451)) | hBOOL(hAPP(_u455, _u440)) )).
% 12.21/12.44 cnf(matrix-1180, plain, ( ~hBOOL(hAPP(_u455, skolem10(_u455, _u453, _u451, _u449))) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u441), _u453)) | hBOOL(hAPP(_u455, _u441)) )).
% 12.21/12.44 cnf(matrix-1181, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem11(_u456, _u454, _u452, _u450)), _u452)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem12(_u456, _u454, _u452, _u450)), _u454)) )).
% 12.21/12.44 cnf(matrix-1182, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem11(_u456, _u454, _u452, _u450)), _u452)) | ~hBOOL(hAPP(_u456, skolem12(_u456, _u454, _u452, _u450))) )).
% 12.21/12.44 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | ~hBOOL(hAPP(_u456, skolem11(_u456, _u454, _u452, _u450))) | hBOOL(hAPP(hAPP(c_member(_u450), skolem12(_u456, _u454, _u452, _u450)), _u454)) )).
% 12.21/12.44 cnf(matrix-1184, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u444), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u450, tc_HOL_Obool)), _u452), _u454))) | hBOOL(hAPP(_u456, _u444)) | ~hBOOL(hAPP(_u456, skolem11(_u456, _u454, _u452, _u450))) | ~hBOOL(hAPP(_u456, skolem12(_u456, _u454, _u452, _u450))) )).
% 12.21/12.44 cnf(matrix-1185, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(hAPP(c_member(_u467), skolem13(_u473, _u471, _u469, _u467)), _u469)) | hBOOL(hAPP(hAPP(c_member(_u467), skolem14(_u473, _u471, _u469, _u467)), _u471)) )).
% 12.21/12.44 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(hAPP(c_member(_u467), skolem13(_u473, _u471, _u469, _u467)), _u469)) | hBOOL(hAPP(_u473, skolem14(_u473, _u471, _u469, _u467))) )).
% 12.21/12.44 cnf(matrix-1187, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(_u473, skolem13(_u473, _u471, _u469, _u467))) | hBOOL(hAPP(hAPP(c_member(_u467), skolem14(_u473, _u471, _u469, _u467)), _u471)) )).
% 12.21/12.44 cnf(matrix-1188, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u457), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u467, tc_HOL_Obool)), _u469), _u471))) | ~hBOOL(hAPP(_u473, _u457)) | hBOOL(hAPP(_u473, skolem13(_u473, _u471, _u469, _u467))) | hBOOL(hAPP(_u473, skolem14(_u473, _u471, _u469, _u467))) )).
% 12.21/12.44 cnf(matrix-1189, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u460), _u470)) | ~hBOOL(hAPP(_u474, _u460)) | hBOOL(hAPP(hAPP(c_member(_u468), skolem15(_u474, _u472, _u470, _u468)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u468, tc_HOL_Obool)), _u470), _u472))) )).
% 12.21/12.44 cnf(matrix-1190, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u460), _u470)) | ~hBOOL(hAPP(_u474, _u460)) | hBOOL(hAPP(_u474, skolem15(_u474, _u472, _u470, _u468))) )).
% 12.21/12.44 cnf(matrix-1191, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u461), _u472)) | ~hBOOL(hAPP(_u474, _u461)) | hBOOL(hAPP(hAPP(c_member(_u468), skolem15(_u474, _u472, _u470, _u468)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u468, tc_HOL_Obool)), _u470), _u472))) )).
% 12.21/12.44 cnf(matrix-1192, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u468), _u461), _u472)) | ~hBOOL(hAPP(_u474, _u461)) | hBOOL(hAPP(_u474, skolem15(_u474, _u472, _u470, _u468))) )).
% 12.21/12.44 cnf(matrix-1193, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), _u476), _u477)), _u478) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), _u476), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u475, tc_HOL_Obool)), _u477), _u478))) )).
% 12.21/12.44 cnf(matrix-1194, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u483), _u485), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u483, tc_HOL_Obool)), _u487), _u489))) | hBOOL(hAPP(hAPP(c_member(_u483), _u485), _u487)) | hBOOL(hAPP(hAPP(c_member(_u483), _u485), _u489)) )).
% 12.21/12.44 cnf(matrix-1195, plain, ( hBOOL(hAPP(hAPP(c_member(_u484), _u486), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u484, tc_HOL_Obool)), _u488), _u490))) | ~hBOOL(hAPP(hAPP(c_member(_u484), _u486), _u488)) )).
% 12.21/12.44 cnf(matrix-1196, plain, ( hBOOL(hAPP(hAPP(c_member(_u484), _u486), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u484, tc_HOL_Obool)), _u488), _u490))) | ~hBOOL(hAPP(hAPP(c_member(_u484), _u486), _u490)) )).
% 12.21/12.44 cnf(matrix-1197, plain, ( ( hAPP(c_Set_Oimage(_u491, _u492, _u493), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u491, tc_HOL_Obool)), _u494), _u495)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u492, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u491, _u492, _u493), _u494)), hAPP(c_Set_Oimage(_u491, _u492, _u493), _u495))) )).
% 12.21/12.44 cnf(matrix-1198, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u497), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u498), _u499)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u496, tc_HOL_Obool)), _u497), _u499))) )).
% 12.21/12.44 cnf(matrix-1199, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u507), _u509), hAPP(c_Set_Oimage(_u511, _u507, _u513), _u515))) | hBOOL(hAPP(hAPP(c_member(_u511), skolem16(_u515, _u513, _u511, _u509)), _u515)) )).
% 12.21/12.44 cnf(matrix-1200, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u507), _u509), hAPP(c_Set_Oimage(_u511, _u507, _u513), _u515))) | ( _u509 = hAPP(_u513, skolem16(_u515, _u513, _u511, _u509))) )).
% 12.21/12.44 cnf(matrix-1201, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u512), _u501), _u516)) | ( _u510 != hAPP(_u514, _u501)) | hBOOL(hAPP(hAPP(c_member(_u508), _u510), hAPP(c_Set_Oimage(_u512, _u508, _u514), _u516))) )).
% 12.21/12.44 cnf(matrix-1202, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u517, tc_HOL_Obool)), _u518), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u517, tc_HOL_Obool)), _u518), _u519)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u517, tc_HOL_Obool)), _u518), _u519)) )).
% 12.21/12.44 cnf(matrix-1203, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u520, tc_HOL_Obool)), _u521), _u522) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u520, tc_HOL_Obool)), _u522), _u521)) )).
% 12.21/12.44 cnf(matrix-1204, plain, ( hBOOL(hAPP(_u530, _u528)) | ~hBOOL(hAPP(hAPP(c_member(_u526), _u528), _u530)) )).
% 12.21/12.44 cnf(matrix-1205, plain, ( ~hBOOL(hAPP(_u531, _u529)) | hBOOL(hAPP(hAPP(c_member(_u527), _u529), _u531)) )).
% 12.21/12.44 cnf(matrix-1206, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u532, tc_HOL_Obool)), _u533), _u533) = _u533) )).
% 12.21/12.44 cnf(matrix-1207, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u534), _u535), _u536)) | ( hAPP(hAPP(c_Set_Oinsert(_u537), hAPP(_u538, _u535)), hAPP(c_Set_Oimage(_u534, _u537, _u538), _u536)) = hAPP(c_Set_Oimage(_u534, _u537, _u538), _u536)) )).
% 12.21/12.44 cnf(matrix-1208, plain, ( ( hAPP(c_Set_Oimage(_u539, _u540, _u541), hAPP(c_Set_Oimage(_u542, _u539, _u543), _u544)) = hAPP(c_Set_Oimage(_u542, _u540, hAPP(hAPP(c_COMBB(_u539, _u540, _u542), _u541), _u543)), _u544)) )).
% 12.21/12.44 cnf(matrix-1209, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u545, tc_HOL_Obool), tc_fun(_u546, tc_HOL_Obool), _u547) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u546, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u546, tc_HOL_Obool)), hAPP(_u547, _u548)), hAPP(_u547, _u549))), hAPP(_u547, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u545, tc_HOL_Obool)), _u548), _u549)))) )).
% 12.21/12.44 cnf(matrix-1210, plain, ( ( _u555 = _u557) | ( hAPP(hAPP(c_COMBC(_u553, tc_fun(_u553, tc_HOL_Obool), tc_HOL_Obool), c_member(_u553)), _u555) != hAPP(hAPP(c_COMBC(_u553, tc_fun(_u553, tc_HOL_Obool), tc_HOL_Obool), c_member(_u553)), _u557)) )).
% 12.21/12.44 cnf(matrix-1211, plain, ( ( _u556 != _u558) | ( hAPP(hAPP(c_COMBC(_u554, tc_fun(_u554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u554)), _u556) = hAPP(hAPP(c_COMBC(_u554, tc_fun(_u554, tc_HOL_Obool), tc_HOL_Obool), c_member(_u554)), _u558)) )).
% 12.21/12.44 cnf(matrix-1212, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u559, tc_HOL_Obool)), _u560), _u561) = hAPP(c_Set_OCollect(_u559), hAPP(hAPP(c_COMBS(_u559, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u559), c_fdisj), hAPP(hAPP(c_COMBC(_u559, tc_fun(_u559, tc_HOL_Obool), tc_HOL_Obool), c_member(_u559)), _u560))), hAPP(hAPP(c_COMBC(_u559, tc_fun(_u559, tc_HOL_Obool), tc_HOL_Obool), c_member(_u559)), _u561)))) )).
% 12.21/12.44 cnf(matrix-1213, plain, ( ~class_Orderings_Oorder(_u564) | ~class_Orderings_Oorder(_u565) | ~c_Orderings_Oorder__class_Omono(_u565, _u564, _u566) | ( c_Orderings_Oord__class_OLeast(_u564, hAPP(hAPP(c_COMBC(_u564, tc_fun(_u564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u564)), hAPP(c_Set_Oimage(_u565, _u564, _u566), _u567))) = hAPP(_u566, c_Orderings_Oord__class_OLeast(_u565, hAPP(hAPP(c_COMBC(_u565, tc_fun(_u565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u565)), _u567)))) | ~hBOOL(hAPP(hAPP(c_member(_u565), _u563), _u567)) | hBOOL(hAPP(hAPP(c_member(_u565), skolem17(_u567, _u566, _u565, _u564, _u563)), _u567)) )).
% 12.21/12.44 cnf(matrix-1214, plain, ( ~class_Orderings_Oorder(_u564) | ~class_Orderings_Oorder(_u565) | ~c_Orderings_Oorder__class_Omono(_u565, _u564, _u566) | ( c_Orderings_Oord__class_OLeast(_u564, hAPP(hAPP(c_COMBC(_u564, tc_fun(_u564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u564)), hAPP(c_Set_Oimage(_u565, _u564, _u566), _u567))) = hAPP(_u566, c_Orderings_Oord__class_OLeast(_u565, hAPP(hAPP(c_COMBC(_u565, tc_fun(_u565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u565)), _u567)))) | ~hBOOL(hAPP(hAPP(c_member(_u565), _u563), _u567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u565), _u563), skolem17(_u567, _u566, _u565, _u564, _u563))) )).
% 12.21/12.44 cnf(matrix-1215, plain, ( ( hAPP(c_Set_Oimage(_u572, _u574, _u576), _u578) != c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))) | ( _u578 = c_Orderings_Obot__class_Obot(tc_fun(_u572, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1216, plain, ( ( _u579 != c_Orderings_Obot__class_Obot(tc_fun(_u573, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u573, _u575, _u577), _u579) = c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1217, plain, ( ( hAPP(c_Set_Oimage(_u580, _u581, _u582), c_Orderings_Obot__class_Obot(tc_fun(_u580, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u581, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1218, plain, ( ( _u593 = c_Orderings_Obot__class_Obot(tc_fun(_u589, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u587, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u589, _u587, _u591), _u593)) )).
% 12.21/12.44 cnf(matrix-1219, plain, ( ( _u594 != c_Orderings_Obot__class_Obot(tc_fun(_u590, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u588, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u590, _u588, _u592), _u594)) )).
% 12.21/12.44 cnf(matrix-1220, plain, ( ( hAPP(c_Set_Oimage(_u595, _u596, _u597), hAPP(hAPP(c_Set_Oinsert(_u595), _u598), _u599)) = hAPP(hAPP(c_Set_Oinsert(_u596), hAPP(_u597, _u598)), hAPP(c_Set_Oimage(_u595, _u596, _u597), _u599))) )).
% 12.21/12.44 cnf(matrix-1221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u600, tc_HOL_Obool)), _u601), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u603, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u600, _u603, _u604), _u601)), hAPP(c_Set_Oimage(_u600, _u603, _u604), _u602))) )).
% 12.21/12.44 cnf(matrix-1222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), _u614), hAPP(c_Set_Oimage(_u616, _u612, _u618), _u620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u616, tc_HOL_Obool)), skolem18(_u620, _u618, _u616, _u614, _u612)), _u620)) )).
% 12.21/12.44 cnf(matrix-1223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), _u614), hAPP(c_Set_Oimage(_u616, _u612, _u618), _u620))) | ( _u614 = hAPP(c_Set_Oimage(_u616, _u612, _u618), skolem18(_u620, _u618, _u616, _u614, _u612))) )).
% 12.21/12.44 cnf(matrix-1224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u617, tc_HOL_Obool)), _u606), _u621)) | ( _u615 != hAPP(c_Set_Oimage(_u617, _u613, _u619), _u606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u613, tc_HOL_Obool)), _u615), hAPP(c_Set_Oimage(_u617, _u613, _u619), _u621))) )).
% 12.21/12.44 cnf(matrix-1225, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u622), _u623), _u624)) | ( hAPP(c_Set_Oimage(_u622, _u625, hAPP(c_COMBK(_u625, _u622), _u626)), _u624) = hAPP(hAPP(c_Set_Oinsert(_u625), _u626), c_Orderings_Obot__class_Obot(tc_fun(_u625, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1226, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u632), _u634) != c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) | ( _u632 = c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1227, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u632), _u634) != c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) | ( _u634 = c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1228, plain, ( ( _u633 != c_Orderings_Obot__class_Obot(tc_fun(_u631, tc_HOL_Obool))) | ( _u635 != c_Orderings_Obot__class_Obot(tc_fun(_u631, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u631, tc_HOL_Obool)), _u633), _u635) = c_Orderings_Obot__class_Obot(tc_fun(_u631, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1229, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u636, tc_HOL_Obool)), _u637), c_Orderings_Obot__class_Obot(tc_fun(_u636, tc_HOL_Obool))) = _u637) )).
% 12.21/12.44 cnf(matrix-1230, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u638, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u638, tc_HOL_Obool))), _u639) = _u639) )).
% 12.21/12.44 cnf(matrix-1231, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u640, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u640), _u641), _u642)), _u643) = hAPP(hAPP(c_Set_Oinsert(_u640), _u641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u640, tc_HOL_Obool)), _u642), _u643))) )).
% 12.21/12.44 cnf(matrix-1232, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u644, tc_HOL_Obool)), _u645), hAPP(hAPP(c_Set_Oinsert(_u644), _u646), _u647)) = hAPP(hAPP(c_Set_Oinsert(_u644), _u646), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u644, tc_HOL_Obool)), _u645), _u647))) )).
% 12.21/12.44 cnf(matrix-1233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u649), _u650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u651), _u652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u648, tc_HOL_Obool)), _u649), _u651)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u648, tc_HOL_Obool)), _u650), _u652))) )).
% 12.21/12.44 cnf(matrix-1234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u653, tc_HOL_Obool)), _u654), _u655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u653, tc_HOL_Obool)), _u656), _u655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u653, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u653, tc_HOL_Obool)), _u654), _u656)), _u655)) )).
% 12.21/12.44 cnf(matrix-1235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u657, tc_HOL_Obool)), _u658), _u659)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u657, tc_HOL_Obool)), _u659), _u658) = _u659) )).
% 12.21/12.44 cnf(matrix-1236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u660, tc_HOL_Obool)), _u661), _u662)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u660, tc_HOL_Obool)), _u661), _u662) = _u662) )).
% 12.21/12.44 cnf(matrix-1237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u666, tc_HOL_Obool)), _u668), _u670)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u666, tc_HOL_Obool)), _u668), _u670) = _u670) )).
% 12.21/12.44 cnf(matrix-1238, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u667, tc_HOL_Obool)), _u669), _u671) != _u671) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u667, tc_HOL_Obool)), _u669), _u671)) )).
% 12.21/12.44 cnf(matrix-1239, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u672, tc_HOL_Obool)), _u673), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u672, tc_HOL_Obool)), _u674), _u673))) )).
% 12.21/12.44 cnf(matrix-1240, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u675, tc_HOL_Obool)), _u676), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u675, tc_HOL_Obool)), _u676), _u677))) )).
% 12.21/12.44 cnf(matrix-1241, plain, ( hBOOL(hAPP(hAPP(_u688, hAPP(_u690, _u692)), hAPP(_u690, _u694))) | ~c_Predicate_Oinv__imagep(_u684, _u686, _u688, _u690, _u692, _u694) )).
% 12.21/12.44 cnf(matrix-1242, plain, ( ~hBOOL(hAPP(hAPP(_u689, hAPP(_u691, _u693)), hAPP(_u691, _u695))) | c_Predicate_Oinv__imagep(_u685, _u687, _u689, _u691, _u693, _u695) )).
% 12.21/12.44 cnf(matrix-1243, plain, ( ( _u696 != c_Orderings_Obot__class_Obot(tc_fun(_u697, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u697), _u698), _u696)) )).
% 12.21/12.44 cnf(matrix-1244, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u699), _u700), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1245, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u705), _u701), _u707)) | ( _u707 != c_Orderings_Obot__class_Obot(tc_fun(_u705, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1246, plain, ( ( _u708 = c_Orderings_Obot__class_Obot(tc_fun(_u706, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u706), skolem19(_u708, _u706)), _u708)) )).
% 12.21/12.44 cnf(matrix-1247, plain, ( hBOOL(hAPP(hAPP(c_member(_u713), skolem20(_u715, _u713)), _u715)) | ( _u715 = c_Orderings_Obot__class_Obot(tc_fun(_u713, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1248, plain, ( ( _u716 != c_Orderings_Obot__class_Obot(tc_fun(_u714, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u714), _u710), _u716)) )).
% 12.21/12.44 cnf(matrix-1249, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u717), _u718), _u719)) | ( hAPP(hAPP(c_Set_Oinsert(_u717), _u718), _u719) = _u719) )).
% 12.21/12.44 cnf(matrix-1250, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u720), _u721), _u722)) | hBOOL(hAPP(hAPP(c_member(_u720), _u721), hAPP(hAPP(c_Set_Oinsert(_u720), _u723), _u722))) )).
% 12.21/12.44 cnf(matrix-1251, plain, ( hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u726)) | hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u727)) | ( hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u726) != hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u727)) | ( _u726 = _u727) )).
% 12.21/12.44 cnf(matrix-1252, plain, ( hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u726)) | hBOOL(hAPP(hAPP(c_member(_u724), _u725), _u727)) | ( _u726 != _u727) | ( hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u726) = hAPP(hAPP(c_Set_Oinsert(_u724), _u725), _u727)) )).
% 12.21/12.44 cnf(matrix-1253, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u732), _u734), hAPP(hAPP(c_Set_Oinsert(_u732), _u736), _u738))) | ( _u734 = _u736) | hBOOL(hAPP(hAPP(c_member(_u732), _u734), _u738)) )).
% 12.21/12.44 cnf(matrix-1254, plain, ( hBOOL(hAPP(hAPP(c_member(_u733), _u735), hAPP(hAPP(c_Set_Oinsert(_u733), _u737), _u739))) | ( _u735 != _u737) )).
% 12.21/12.44 cnf(matrix-1255, plain, ( hBOOL(hAPP(hAPP(c_member(_u733), _u735), hAPP(hAPP(c_Set_Oinsert(_u733), _u737), _u739))) | ~hBOOL(hAPP(hAPP(c_member(_u733), _u735), _u739)) )).
% 12.21/12.44 cnf(matrix-1256, plain, ( hBOOL(hAPP(hAPP(c_member(_u740), _u741), hAPP(hAPP(c_Set_Oinsert(_u740), _u741), _u742))) )).
% 12.21/12.44 cnf(matrix-1257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u743, tc_HOL_Obool)), _u744), _u745)) | ~hBOOL(hAPP(hAPP(c_member(_u743), _u746), _u744)) | hBOOL(hAPP(hAPP(c_member(_u743), _u746), _u745)) )).
% 12.21/12.44 cnf(matrix-1258, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), _u750)) | hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u750)) )).
% 12.21/12.44 cnf(matrix-1259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u751, tc_HOL_Obool)), _u752), _u753)) | ~hBOOL(hAPP(hAPP(c_member(_u751), _u754), _u752)) | hBOOL(hAPP(hAPP(c_member(_u751), _u754), _u753)) )).
% 12.21/12.44 cnf(matrix-1260, plain, ( ( hAPP(c_Set_OCollect(_u755), hAPP(hAPP(c_COMBS(_u755, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u755), c_fdisj), _u756)), _u757)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u755, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u755), _u756)), hAPP(c_Set_OCollect(_u755), _u757))) )).
% 12.21/12.44 cnf(matrix-1261, plain, ( ~class_Orderings_Oorder(_u758) | ~class_Orderings_Oorder(_u759) | ~c_Orderings_Oorder__class_Omono(_u759, _u758, _u760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u759), _u761), _u762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(_u760, _u761)), hAPP(_u760, _u762))) )).
% 12.21/12.44 cnf(matrix-1262, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u765, tc_HOL_Obool)), _u767)) | hBOOL(hAPP(hAPP(c_member(_u765), _u767), c_Orderings_Obot__class_Obot(tc_fun(_u765, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1263, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u766), _u768), c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool)), _u768)) )).
% 12.21/12.44 cnf(matrix-1264, plain, ( hBOOL(hAPP(_u771, _u770)) | ~hBOOL(hAPP(hAPP(c_member(_u769), _u770), hAPP(c_Set_OCollect(_u769), _u771))) )).
% 12.21/12.44 cnf(matrix-1265, plain, ( hBOOL(hAPP(_u774, _u773)) | ~hBOOL(hAPP(hAPP(c_member(_u772), _u773), hAPP(c_Set_OCollect(_u772), _u774))) )).
% 12.21/12.44 cnf(matrix-1266, plain, ( hBOOL(hAPP(_u782, _u780)) | ~hBOOL(hAPP(hAPP(c_member(_u778), _u780), hAPP(c_Set_OCollect(_u778), _u782))) )).
% 12.21/12.44 cnf(matrix-1267, plain, ( ~hBOOL(hAPP(_u783, _u781)) | hBOOL(hAPP(hAPP(c_member(_u779), _u781), hAPP(c_Set_OCollect(_u779), _u783))) )).
% 12.21/12.44 cnf(matrix-1268, plain, ( ( hAPP(c_Set_OCollect(_u784), hAPP(hAPP(c_COMBC(_u784, tc_fun(_u784, tc_HOL_Obool), tc_HOL_Obool), c_member(_u784)), _u785)) = _u785) )).
% 12.21/12.44 cnf(matrix-1269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u789, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u789, tc_fun(_u789, tc_HOL_Obool), tc_HOL_Obool), c_member(_u789)), _u791)), hAPP(hAPP(c_COMBC(_u789, tc_fun(_u789, tc_HOL_Obool), tc_HOL_Obool), c_member(_u789)), _u793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u789, tc_HOL_Obool)), _u791), _u793)) )).
% 12.21/12.44 cnf(matrix-1270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u790, tc_HOL_Obool)), _u792), _u794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u790, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u790, tc_fun(_u790, tc_HOL_Obool), tc_HOL_Obool), c_member(_u790)), _u792)), hAPP(hAPP(c_COMBC(_u790, tc_fun(_u790, tc_HOL_Obool), tc_HOL_Obool), c_member(_u790)), _u794))) )).
% 12.21/12.44 cnf(matrix-1271, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u795), _u796), _u797) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u795, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u795), _u796), c_Orderings_Obot__class_Obot(tc_fun(_u795, tc_HOL_Obool)))), _u797)) )).
% 12.21/12.44 cnf(matrix-1272, plain, ( ( _u799 = _u800) | ~hBOOL(hAPP(hAPP(c_member(_u798), _u799), hAPP(hAPP(c_Set_Oinsert(_u798), _u800), c_Orderings_Obot__class_Obot(tc_fun(_u798, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1273, plain, ( ( _u806 = _u808) | ~hBOOL(hAPP(hAPP(c_member(_u804), _u806), hAPP(hAPP(c_Set_Oinsert(_u804), _u808), c_Orderings_Obot__class_Obot(tc_fun(_u804, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1274, plain, ( ( _u807 != _u809) | hBOOL(hAPP(hAPP(c_member(_u805), _u807), hAPP(hAPP(c_Set_Oinsert(_u805), _u809), c_Orderings_Obot__class_Obot(tc_fun(_u805, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1275, plain, ( hBOOL(hAPP(hAPP(c_member(_u810), _u811), _u812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), hAPP(hAPP(c_Set_Oinsert(_u810), _u811), _u813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), _u813)) )).
% 12.21/12.44 cnf(matrix-1276, plain, ( hBOOL(hAPP(hAPP(c_member(_u810), _u811), _u812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), _u813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u810, tc_HOL_Obool)), _u812), hAPP(hAPP(c_Set_Oinsert(_u810), _u811), _u813))) )).
% 12.21/12.44 cnf(matrix-1277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u818, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u818), _u820), _u822)), _u824)) | hBOOL(hAPP(hAPP(c_member(_u818), _u820), _u824)) )).
% 12.21/12.44 cnf(matrix-1278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u818, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u818), _u820), _u822)), _u824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u818, tc_HOL_Obool)), _u822), _u824)) )).
% 12.21/12.44 cnf(matrix-1279, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u819), _u821), _u825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u819, tc_HOL_Obool)), _u823), _u825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u819, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u819), _u821), _u823)), _u825)) )).
% 12.21/12.44 cnf(matrix-1280, plain, ( ~class_Lattices_Osemilattice__sup(_u826) | ~class_Lattices_Osemilattice__sup(_u827) | ~c_Orderings_Oorder__class_Omono(_u827, _u826, _u828) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u826), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u826), hAPP(_u828, _u829)), hAPP(_u828, _u830))), hAPP(_u828, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u827), _u829), _u830)))) )).
% 12.21/12.44 cnf(matrix-1281, plain, ( ~class_Lattices_Olattice(_u831) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u832, _u831)), _u833), _u834), _u835) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u831), hAPP(_u833, _u835)), hAPP(_u834, _u835))) )).
% 12.21/12.44 cnf(matrix-1282, plain, ( ~class_Lattices_Olattice(_u836) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u837, _u836)), _u838), _u839), _u840) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u836), hAPP(_u838, _u840)), hAPP(_u839, _u840))) )).
% 12.21/12.44 cnf(matrix-1283, plain, ( ~class_Lattices_Obounded__lattice__bot(_u841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u841), _u842), _u843) != c_Orderings_Obot__class_Obot(_u841)) | ( _u842 = c_Orderings_Obot__class_Obot(_u841)) )).
% 12.21/12.44 cnf(matrix-1284, plain, ( ~class_Lattices_Obounded__lattice__bot(_u841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u841), _u842), _u843) != c_Orderings_Obot__class_Obot(_u841)) | ( _u843 = c_Orderings_Obot__class_Obot(_u841)) )).
% 12.21/12.44 cnf(matrix-1285, plain, ( ~class_Lattices_Obounded__lattice__bot(_u841) | ( _u842 != c_Orderings_Obot__class_Obot(_u841)) | ( _u843 != c_Orderings_Obot__class_Obot(_u841)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u841), _u842), _u843) = c_Orderings_Obot__class_Obot(_u841)) )).
% 12.21/12.44 cnf(matrix-1286, plain, ( ~class_Lattices_Obounded__lattice__bot(_u844) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u844), _u845), c_Orderings_Obot__class_Obot(_u844)) = _u845) )).
% 12.21/12.44 cnf(matrix-1287, plain, ( ~class_Lattices_Obounded__lattice__bot(_u846) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u846), c_Orderings_Obot__class_Obot(_u846)), _u847) = _u847) )).
% 12.21/12.44 cnf(matrix-1288, plain, ( ~class_Lattices_Osemilattice__sup(_u848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u848), _u849), _u850)), _u851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), _u849), _u851)) )).
% 12.21/12.44 cnf(matrix-1289, plain, ( ~class_Lattices_Osemilattice__sup(_u848) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u848), _u849), _u850)), _u851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u848), _u850), _u851)) )).
% 12.21/12.44 cnf(matrix-1290, plain, ( ~class_Lattices_Osemilattice__sup(_u852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u852), _u853), _u854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u852), _u855), _u856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u852), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u852), _u853), _u855)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u852), _u854), _u856))) )).
% 12.21/12.44 cnf(matrix-1291, plain, ( ~class_Lattices_Osemilattice__sup(_u857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u857), _u858), _u859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u857), _u860), _u859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u857), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u857), _u858), _u860)), _u859)) )).
% 12.21/12.44 cnf(matrix-1292, plain, ( ~class_Lattices_Osemilattice__sup(_u861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u861), _u862), _u863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u861), _u864), _u863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u861), _u862), _u864)), _u863)) )).
% 12.21/12.44 cnf(matrix-1293, plain, ( ~class_Lattices_Osemilattice__sup(_u865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u865), _u866), _u867)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u865), _u867), _u866) = _u867) )).
% 12.21/12.44 cnf(matrix-1294, plain, ( ~class_Lattices_Osemilattice__sup(_u868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u868), _u869), _u870)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u868), _u869), _u870) = _u870) )).
% 12.21/12.44 cnf(matrix-1295, plain, ( ~class_Lattices_Osemilattice__sup(_u871) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), _u872), _u873)), _u874) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), _u872), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u871), _u873), _u874))) )).
% 12.21/12.44 cnf(matrix-1296, plain, ( ~class_Lattices_Olattice(_u875) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), _u876), _u877)), _u878) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), _u876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u875), _u877), _u878))) )).
% 12.21/12.44 cnf(matrix-1297, plain, ( ~class_Lattices_Osemilattice__sup(_u879) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), _u880), _u881)), _u882) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), _u880), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u879), _u881), _u882))) )).
% 12.21/12.44 cnf(matrix-1298, plain, ( ~class_Lattices_Osemilattice__sup(_u883) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u884), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u885), _u886)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u885), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u883), _u884), _u886))) )).
% 12.21/12.44 cnf(matrix-1299, plain, ( ~class_Lattices_Olattice(_u887) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u888), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u889), _u890)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u889), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u887), _u888), _u890))) )).
% 12.21/12.44 cnf(matrix-1300, plain, ( ~class_Lattices_Osemilattice__sup(_u891) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u893), _u894)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u893), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u891), _u892), _u894))) )).
% 12.21/12.44 cnf(matrix-1301, plain, ( ~class_Lattices_Osemilattice__sup(_u895) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u895), _u896), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u895), _u896), _u897)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u895), _u896), _u897)) )).
% 12.21/12.44 cnf(matrix-1302, plain, ( ~class_Lattices_Olattice(_u898) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u898), _u899), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u898), _u899), _u900)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u898), _u899), _u900)) )).
% 12.21/12.44 cnf(matrix-1303, plain, ( ~class_Lattices_Osemilattice__sup(_u901) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u901), _u902), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u901), _u902), _u903)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u901), _u902), _u903)) )).
% 12.21/12.44 cnf(matrix-1304, plain, ( ~class_Lattices_Osemilattice__sup(_u904) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u904), _u905), _u906) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u904), _u906), _u905)) )).
% 12.21/12.44 cnf(matrix-1305, plain, ( ~class_Lattices_Olattice(_u907) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u907), _u908), _u909) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u907), _u909), _u908)) )).
% 12.21/12.44 cnf(matrix-1306, plain, ( ~class_Lattices_Osemilattice__sup(_u910) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u910), _u911), _u912) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u910), _u912), _u911)) )).
% 12.21/12.44 cnf(matrix-1307, plain, ( ~class_Lattices_Osemilattice__sup(_u913) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u913), _u914), _u914) = _u914) )).
% 12.21/12.44 cnf(matrix-1308, plain, ( ~class_Lattices_Osemilattice__sup(_u915) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u915), _u916), _u916) = _u916) )).
% 12.21/12.44 cnf(matrix-1309, plain, ( ~class_Lattices_Olattice(_u917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u917), _u918), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u917), _u918), _u919))) )).
% 12.21/12.44 cnf(matrix-1310, plain, ( ~class_Lattices_Osemilattice__sup(_u920) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u920), _u921), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u920), _u921), _u922))) )).
% 12.21/12.44 cnf(matrix-1311, plain, ( ~class_Lattices_Olattice(_u923) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u923), _u924), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u923), _u925), _u924))) )).
% 12.21/12.44 cnf(matrix-1312, plain, ( ~class_Lattices_Osemilattice__sup(_u926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u926), _u927), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u926), _u928), _u927))) )).
% 12.21/12.44 cnf(matrix-1313, plain, ( ~class_Lattices_Osemilattice__sup(_u929) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u929), _u930), _u931)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u929), _u930), _u931) = _u931) )).
% 12.21/12.44 cnf(matrix-1314, plain, ( ~class_Lattices_Osemilattice__sup(_u929) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u929), _u930), _u931) != _u931) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u929), _u930), _u931)) )).
% 12.21/12.44 cnf(matrix-1315, plain, ( ~class_Lattices_Osemilattice__sup(_u932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u932), _u933), _u934)), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u933), _u935)) )).
% 12.21/12.44 cnf(matrix-1316, plain, ( ~class_Lattices_Osemilattice__sup(_u932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u932), _u933), _u934)), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u934), _u935)) )).
% 12.21/12.44 cnf(matrix-1317, plain, ( ~class_Lattices_Osemilattice__sup(_u932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u933), _u935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), _u934), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u932), _u933), _u934)), _u935)) )).
% 12.21/12.44 cnf(matrix-1318, plain, ( ~class_Lattices_Osemilattice__sup(_u936) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u936), _u937), _u938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u936), _u937), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u936), _u938), _u939))) )).
% 12.21/12.44 cnf(matrix-1319, plain, ( ~class_Lattices_Osemilattice__sup(_u940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u940), _u941), _u942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u940), _u941), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u940), _u943), _u942))) )).
% 12.21/12.44 cnf(matrix-1320, plain, ( ~class_Orderings_Oorder(_u944) | ~c_Orderings_Oorder__class_Omono(_u944, tc_fun(_u945, tc_HOL_Obool), _u946) | c_Orderings_Oorder__class_Omono(_u944, tc_fun(_u945, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u944, tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u945, tc_HOL_Obool), tc_fun(tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), _u944), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u945, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u944, tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u945, tc_HOL_Obool), tc_fun(tc_fun(_u945, tc_HOL_Obool), tc_fun(_u945, tc_HOL_Obool)), _u944), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u945, tc_HOL_Obool))), _u946)), _u947))), _u948)) )).
% 12.21/12.44 cnf(matrix-1321, plain, ( ( hAPP(c_Set_Oimage(_u949, _u949, c_COMBI(_u949)), _u950) = _u950) )).
% 12.21/12.44 cnf(matrix-1322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u951, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u952, _u951, _u953), _u954)), _u955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u951, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u952, tc_HOL_Obool), tc_fun(_u951, tc_HOL_Obool), c_Set_Oimage(_u952, _u951, _u953)), hAPP(c_Set_OPow(_u952), _u954))), hAPP(c_Set_OPow(_u951), _u955))) )).
% 12.21/12.44 cnf(matrix-1323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), _u962), hAPP(hAPP(c_Set_Oinsert(_u960), _u964), _u966))) | ~hBOOL(hAPP(hAPP(c_member(_u960), _u964), _u962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u960, tc_HOL_Obool)), _u962), hAPP(hAPP(c_Set_Oinsert(_u960), _u964), c_Orderings_Obot__class_Obot(tc_fun(_u960, tc_HOL_Obool))))), _u966)) )).
% 12.21/12.44 cnf(matrix-1324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), _u962), hAPP(hAPP(c_Set_Oinsert(_u960), _u964), _u966))) | hBOOL(hAPP(hAPP(c_member(_u960), _u964), _u962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u960, tc_HOL_Obool)), _u962), _u966)) )).
% 12.21/12.44 cnf(matrix-1325, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), _u967))) | hBOOL(hAPP(hAPP(c_member(_u961), _u965), _u963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), _u967)) )).
% 12.21/12.44 cnf(matrix-1326, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), _u967))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), c_Orderings_Obot__class_Obot(tc_fun(_u961, tc_HOL_Obool))))), _u967)) | ~hBOOL(hAPP(hAPP(c_member(_u961), _u965), _u963)) )).
% 12.21/12.44 cnf(matrix-1327, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), _u967))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u961, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Set_Oinsert(_u961), _u965), c_Orderings_Obot__class_Obot(tc_fun(_u961, tc_HOL_Obool))))), _u967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u961, tc_HOL_Obool)), _u963), _u967)) )).
% 12.21/12.44 cnf(matrix-1328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u968, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u968, tc_HOL_Obool)), _u969), hAPP(hAPP(c_Set_Oinsert(_u968), _u970), c_Orderings_Obot__class_Obot(tc_fun(_u968, tc_HOL_Obool))))), _u971)) | ~hBOOL(hAPP(hAPP(c_member(_u968), _u970), _u969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u968, tc_HOL_Obool)), _u969), hAPP(hAPP(c_Set_Oinsert(_u968), _u970), _u971))) )).
% 12.21/12.44 cnf(matrix-1329, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u973), _u974), hAPP(c_Set_Oimage(_u975, _u973, _u976), _u977))) | ( _u974 = hAPP(_u976, skolem21(_u977, _u976, _u975, _u974))) )).
% 12.21/12.44 cnf(matrix-1330, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u973), _u974), hAPP(c_Set_Oimage(_u975, _u973, _u976), _u977))) | hBOOL(hAPP(hAPP(c_member(_u975), skolem21(_u977, _u976, _u975, _u974)), _u977)) )).
% 12.21/12.44 cnf(matrix-1331, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u981, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u979, _u981, _u982), _u980)), _u983)) | hBOOL(hAPP(hAPP(c_member(_u979), skolem22(_u983, _u982, _u981, _u980, _u979)), _u980)) )).
% 12.21/12.44 cnf(matrix-1332, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u981, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u979, _u981, _u982), _u980)), _u983)) | ~hBOOL(hAPP(hAPP(c_member(_u981), hAPP(_u982, skolem22(_u983, _u982, _u981, _u980, _u979))), _u983)) )).
% 12.21/12.44 cnf(matrix-1333, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u987, hAPP(hAPP(c_COMBC(_u987, tc_fun(_u987, tc_HOL_Obool), tc_HOL_Obool), c_member(_u987)), _u989)), _u991)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u987, tc_HOL_Obool)), _u991), hAPP(c_Set_OPow(_u987), _u989))) )).
% 12.21/12.44 cnf(matrix-1334, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u988, tc_HOL_Obool)), _u992), hAPP(c_Set_OPow(_u988), _u990))) | hBOOL(hAPP(c_Predicate_OPowp(_u988, hAPP(hAPP(c_COMBC(_u988, tc_fun(_u988, tc_HOL_Obool), tc_HOL_Obool), c_member(_u988)), _u990)), _u992)) )).
% 12.21/12.44 cnf(matrix-1335, plain, ( ( _u993 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u994, tc_HOL_Obool), _u995)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u994, tc_HOL_Obool), tc_fun(_u994, tc_HOL_Obool), _u995) | ~hBOOL(hAPP(hAPP(c_member(_u994), _u996), _u997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), _u997), hAPP(_u995, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u994, tc_HOL_Obool)), _u997), _u993)))) | hBOOL(hAPP(hAPP(c_member(_u994), _u996), _u993)) )).
% 12.21/12.44 cnf(matrix-1336, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u998, tc_HOL_Obool), tc_fun(_u998, tc_HOL_Obool), _u999) | ~hBOOL(hAPP(hAPP(c_member(_u998), _u1000), _u1001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u998, tc_HOL_Obool)), _u1001), hAPP(_u999, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u998, tc_HOL_Obool)), _u1001), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u998, tc_HOL_Obool), _u999))))) | hBOOL(hAPP(hAPP(c_member(_u998), _u1000), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u998, tc_HOL_Obool), _u999))) )).
% 12.21/12.44 cnf(matrix-1337, plain, ( ( hAPP(c_Set_Oimage(_u1002, _u1003, hAPP(hAPP(c_COMBS(_u1002, _u1003, _u1003), hAPP(hAPP(c_COMBS(_u1002, _u1003, tc_fun(_u1003, _u1003)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u1003, tc_fun(_u1003, _u1003)), _u1002), c_If(_u1003)), _u1004)), _u1005)), _u1006)), _u1007) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1003, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1002, _u1003, _u1005), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1002, tc_HOL_Obool)), _u1007), hAPP(c_Set_OCollect(_u1002), _u1004)))), hAPP(c_Set_Oimage(_u1002, _u1003, _u1006), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1002, tc_HOL_Obool)), _u1007), hAPP(c_Set_OCollect(_u1002), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1002), c_fNot), _u1004)))))) )).
% 12.21/12.44 cnf(matrix-1338, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool)), _u1009), _u1010), _u1011)) | hBOOL(hAPP(_u1009, _u1011)) )).
% 12.21/12.44 cnf(matrix-1339, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1008, tc_HOL_Obool)), _u1009), _u1010), _u1011)) | hBOOL(hAPP(_u1010, _u1011)) )).
% 12.21/12.44 cnf(matrix-1340, plain, ( ~hBOOL(hAPP(_u1012, _u1013)) | ~hBOOL(hAPP(_u1014, _u1013)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1015, tc_HOL_Obool)), _u1012), _u1014), _u1013)) )).
% 12.21/12.44 cnf(matrix-1341, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1016, tc_HOL_Obool)), _u1018), _u1019))) | hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), _u1018)) )).
% 12.21/12.44 cnf(matrix-1342, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1016, tc_HOL_Obool)), _u1018), _u1019))) | hBOOL(hAPP(hAPP(c_member(_u1016), _u1017), _u1019)) )).
% 12.21/12.44 cnf(matrix-1343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1021), _u1022)) | ~hBOOL(hAPP(hAPP(c_member(_u1020), _u1021), _u1023)) | hBOOL(hAPP(hAPP(c_member(_u1020), _u1021), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1020, tc_HOL_Obool)), _u1022), _u1023))) )).
% 12.21/12.44 cnf(matrix-1344, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1024, tc_HOL_Obool)), _u1026), _u1027))) | hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), _u1026)) )).
% 12.21/12.44 cnf(matrix-1345, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1024, tc_HOL_Obool)), _u1026), _u1027))) | ~hBOOL(hAPP(hAPP(c_member(_u1024), _u1025), _u1027)) )).
% 12.21/12.44 cnf(matrix-1346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1028), _u1029), _u1030)) | hBOOL(hAPP(hAPP(c_member(_u1028), _u1029), _u1031)) | hBOOL(hAPP(hAPP(c_member(_u1028), _u1029), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1028, tc_HOL_Obool)), _u1030), _u1031))) )).
% 12.21/12.44 cnf(matrix-1347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1032, tc_HOL_Obool)), _u1033), _u1034)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1032, tc_HOL_Obool)), _u1033), hAPP(c_Set_OPow(_u1032), _u1034))) )).
% 12.21/12.44 cnf(matrix-1348, plain, ( ~class_Lattices_Olattice(_u1035) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1036, _u1035)), _u1037), _u1038), _u1039) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1035), hAPP(_u1037, _u1039)), hAPP(_u1038, _u1039))) )).
% 12.21/12.44 cnf(matrix-1349, plain, ( ~class_Groups_Ominus(_u1040) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1041, _u1040)), _u1042), _u1043), _u1044) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1040), hAPP(_u1042, _u1044)), hAPP(_u1043, _u1044))) )).
% 12.21/12.44 cnf(matrix-1350, plain, ( ~class_Lattices_Osemilattice__inf(_u1045) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), _u1046), _u1047)), _u1048) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), _u1046), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1045), _u1047), _u1048))) )).
% 12.21/12.44 cnf(matrix-1351, plain, ( ~class_Lattices_Olattice(_u1049) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), _u1050), _u1051)), _u1052) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), _u1050), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1049), _u1051), _u1052))) )).
% 12.21/12.44 cnf(matrix-1352, plain, ( ~class_Lattices_Osemilattice__inf(_u1053) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), _u1054), _u1055)), _u1056) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), _u1054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1053), _u1055), _u1056))) )).
% 12.21/12.44 cnf(matrix-1353, plain, ( ~class_Lattices_Osemilattice__inf(_u1057) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1059), _u1060)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1057), _u1058), _u1060))) )).
% 12.21/12.44 cnf(matrix-1354, plain, ( ~class_Lattices_Olattice(_u1061) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1062), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1063), _u1064)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1063), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1061), _u1062), _u1064))) )).
% 12.21/12.44 cnf(matrix-1355, plain, ( ~class_Lattices_Osemilattice__inf(_u1065) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1066), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1067), _u1068)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1067), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1065), _u1066), _u1068))) )).
% 12.21/12.44 cnf(matrix-1356, plain, ( ~class_Lattices_Osemilattice__inf(_u1069) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1069), _u1070), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1069), _u1070), _u1071)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1069), _u1070), _u1071)) )).
% 12.21/12.44 cnf(matrix-1357, plain, ( ~class_Lattices_Olattice(_u1072) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1072), _u1073), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1072), _u1073), _u1074)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1072), _u1073), _u1074)) )).
% 12.21/12.44 cnf(matrix-1358, plain, ( ~class_Lattices_Osemilattice__inf(_u1075) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1075), _u1076), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1075), _u1076), _u1077)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1075), _u1076), _u1077)) )).
% 12.21/12.44 cnf(matrix-1359, plain, ( ~class_Lattices_Osemilattice__inf(_u1078) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1078), _u1079), _u1080) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1078), _u1080), _u1079)) )).
% 12.21/12.44 cnf(matrix-1360, plain, ( ~class_Lattices_Olattice(_u1081) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1081), _u1082), _u1083) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1081), _u1083), _u1082)) )).
% 12.21/12.44 cnf(matrix-1361, plain, ( ~class_Lattices_Osemilattice__inf(_u1084) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1084), _u1085), _u1086) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1084), _u1086), _u1085)) )).
% 12.21/12.44 cnf(matrix-1362, plain, ( ~class_Lattices_Olattice(_u1087) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1088, _u1087)), _u1089), _u1090), _u1091) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1087), hAPP(_u1089, _u1091)), hAPP(_u1090, _u1091))) )).
% 12.21/12.44 cnf(matrix-1363, plain, ( ~class_Groups_Ominus(_u1092) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1093, _u1092)), _u1094), _u1095), _u1096) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1092), hAPP(_u1094, _u1096)), hAPP(_u1095, _u1096))) )).
% 12.21/12.44 cnf(matrix-1364, plain, ( ~class_Lattices_Osemilattice__inf(_u1097) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1097), _u1098), _u1098) = _u1098) )).
% 12.21/12.44 cnf(matrix-1365, plain, ( ~class_Lattices_Osemilattice__inf(_u1099) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1099), _u1100), _u1100) = _u1100) )).
% 12.21/12.44 cnf(matrix-1366, plain, ( hBOOL(hAPP(_u1103, _u1104)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1101, tc_HOL_Obool)), _u1102), _u1103), _u1104)) )).
% 12.21/12.44 cnf(matrix-1367, plain, ( hBOOL(hAPP(_u1106, _u1108)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1105, tc_HOL_Obool)), _u1106), _u1107), _u1108)) )).
% 12.21/12.44 cnf(matrix-1368, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1109, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1109, tc_HOL_Obool)), _u1110), _u1111)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1109, tc_HOL_Obool)), _u1112), _u1111)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1109, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1109, tc_HOL_Obool)), _u1110), _u1111)), _u1112)) )).
% 12.21/12.44 cnf(matrix-1369, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1113, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1113, tc_HOL_Obool)), _u1114), _u1115)), _u1116) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1113, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1113, tc_HOL_Obool)), _u1114), _u1116)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1113, tc_HOL_Obool)), _u1115), _u1116))) )).
% 12.21/12.44 cnf(matrix-1370, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), _u1118), _u1119)), _u1120) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), _u1118), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1117, tc_HOL_Obool)), _u1119), _u1120))) )).
% 12.21/12.44 cnf(matrix-1371, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1121, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1121, tc_HOL_Obool)), _u1122), _u1123)), _u1124) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1121, tc_HOL_Obool)), _u1122), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1121, tc_HOL_Obool)), _u1123), _u1124))) )).
% 12.21/12.44 cnf(matrix-1372, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1126), _u1127)), _u1127) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1126), _u1127)) )).
% 12.21/12.44 cnf(matrix-1373, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1128, tc_HOL_Obool)), _u1129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), _u1130), _u1131)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1128, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1130)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1128, tc_HOL_Obool)), _u1129), _u1131))) )).
% 12.21/12.44 cnf(matrix-1374, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1133), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1134), _u1135)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1134), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1132, tc_HOL_Obool)), _u1133), _u1135))) )).
% 12.21/12.44 cnf(matrix-1375, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1136, tc_HOL_Obool)), _u1137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1136, tc_HOL_Obool)), _u1137), _u1138)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1136, tc_HOL_Obool)), _u1137), _u1138)) )).
% 12.21/12.44 cnf(matrix-1376, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1139, tc_HOL_Obool)), _u1140), _u1141) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1139, tc_HOL_Obool)), _u1141), _u1140)) )).
% 12.21/12.44 cnf(matrix-1377, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1142, tc_HOL_Obool)), _u1143), _u1143) = _u1143) )).
% 12.21/12.44 cnf(matrix-1378, plain, ( ( hAPP(c_Set_OPow(_u1144), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1144, tc_HOL_Obool)), _u1145), _u1146)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1144, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1144), _u1145)), hAPP(c_Set_OPow(_u1144), _u1146))) )).
% 12.21/12.44 cnf(matrix-1379, plain, ( ( hAPP(c_Set_OPow(_u1147), _u1148) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1147, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1380, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1149, tc_HOL_Obool)), _u1150), hAPP(c_Set_OPow(_u1149), _u1150))) )).
% 12.21/12.44 cnf(matrix-1381, plain, ( ( hAPP(c_Set_Oimage(_u1152, tc_fun(_u1152, tc_HOL_Obool), _u1151), _u1153) != hAPP(c_Set_OPow(_u1152), _u1153)) )).
% 12.21/12.44 cnf(matrix-1382, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1154, tc_HOL_Obool)), _u1155), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1154, tc_HOL_Obool)), _u1156), _u1155)) = c_Orderings_Obot__class_Obot(tc_fun(_u1154, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1383, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1157, tc_HOL_Obool)), _u1158), _u1159) != c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1157, tc_HOL_Obool)), _u1158), _u1159) = _u1158) )).
% 12.21/12.44 cnf(matrix-1384, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1160, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1160, tc_HOL_Obool)), _u1161), _u1162)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1160, tc_HOL_Obool)), _u1161), _u1162)) = _u1161) )).
% 12.21/12.44 cnf(matrix-1385, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1163, tc_HOL_Obool)), _u1164), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1163, tc_HOL_Obool)), _u1165), _u1166)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1163, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1163, tc_HOL_Obool)), _u1164), _u1165)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1163, tc_HOL_Obool)), _u1164), _u1166))) )).
% 12.21/12.44 cnf(matrix-1386, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1167, tc_HOL_Obool)), _u1168), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1167, tc_HOL_Obool)), _u1169), _u1170)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1167, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1167, tc_HOL_Obool)), _u1168), _u1169)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1167, tc_HOL_Obool)), _u1168), _u1170))) )).
% 12.21/12.44 cnf(matrix-1387, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1171), _u1172), hAPP(_u1173, _u1172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1171), _u1172), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1171, _u1173))) )).
% 12.21/12.44 cnf(matrix-1388, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1174) | ~c_Orderings_Oorder__class_Omono(_u1174, _u1174, _u1175) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u1174, _u1175) = hAPP(_u1175, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1174, _u1175))) )).
% 12.21/12.44 cnf(matrix-1389, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1176) | ( _u1177 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1176, _u1178)) | ~c_Orderings_Oorder__class_Omono(_u1176, _u1176, _u1178) | ( _u1177 = hAPP(_u1178, _u1177)) )).
% 12.21/12.44 cnf(matrix-1390, plain, ( ~class_Lattices_Osemilattice__inf(_u1179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1179), _u1181), _u1182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), _u1181)) )).
% 12.21/12.44 cnf(matrix-1391, plain, ( ~class_Lattices_Osemilattice__inf(_u1179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1179), _u1181), _u1182))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1179), _u1180), _u1182)) )).
% 12.21/12.44 cnf(matrix-1392, plain, ( ~class_Lattices_Osemilattice__inf(_u1183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1183), _u1184), _u1185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1183), _u1186), _u1187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1183), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1183), _u1184), _u1186)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1183), _u1185), _u1187))) )).
% 12.21/12.44 cnf(matrix-1393, plain, ( ~class_Lattices_Osemilattice__inf(_u1188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1188), _u1189), _u1190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1188), _u1189), _u1191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1188), _u1189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1188), _u1190), _u1191))) )).
% 12.21/12.44 cnf(matrix-1394, plain, ( ~class_Lattices_Osemilattice__inf(_u1192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1192), _u1193), _u1194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1192), _u1193), _u1195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1192), _u1193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1192), _u1194), _u1195))) )).
% 12.21/12.44 cnf(matrix-1395, plain, ( ~class_Lattices_Osemilattice__inf(_u1196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1196), _u1197), _u1198)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1196), _u1198), _u1197) = _u1197) )).
% 12.21/12.44 cnf(matrix-1396, plain, ( ~class_Lattices_Osemilattice__inf(_u1199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1199), _u1200), _u1201)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1199), _u1200), _u1201) = _u1200) )).
% 12.21/12.44 cnf(matrix-1397, plain, ( ~class_Lattices_Osemilattice__inf(_u1202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1202), _u1203), _u1204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1202), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1202), _u1205), _u1203)), _u1204)) )).
% 12.21/12.44 cnf(matrix-1398, plain, ( ~class_Lattices_Osemilattice__inf(_u1206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1206), _u1207), _u1208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1206), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1206), _u1207), _u1209)), _u1208)) )).
% 12.21/12.44 cnf(matrix-1399, plain, ( ~class_Lattices_Osemilattice__inf(_u1210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1210), _u1212), _u1213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1212)) )).
% 12.21/12.44 cnf(matrix-1400, plain, ( ~class_Lattices_Osemilattice__inf(_u1210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1210), _u1212), _u1213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1213)) )).
% 12.21/12.44 cnf(matrix-1401, plain, ( ~class_Lattices_Osemilattice__inf(_u1210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), _u1213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1210), _u1211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1210), _u1212), _u1213))) )).
% 12.21/12.44 cnf(matrix-1402, plain, ( ~class_Lattices_Osemilattice__inf(_u1214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1214), _u1215), _u1216)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1214), _u1215), _u1216) = _u1215) )).
% 12.21/12.44 cnf(matrix-1403, plain, ( ~class_Lattices_Osemilattice__inf(_u1214) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1214), _u1215), _u1216) != _u1215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1214), _u1215), _u1216)) )).
% 12.21/12.44 cnf(matrix-1404, plain, ( ~class_Lattices_Osemilattice__inf(_u1217) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1217), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1217), _u1218), _u1219)), _u1219)) )).
% 12.21/12.44 cnf(matrix-1405, plain, ( ~class_Lattices_Olattice(_u1220) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1220), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1220), _u1221), _u1222)), _u1222)) )).
% 12.21/12.44 cnf(matrix-1406, plain, ( ~class_Lattices_Osemilattice__inf(_u1223) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1223), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1223), _u1224), _u1225)), _u1224)) )).
% 12.21/12.44 cnf(matrix-1407, plain, ( ~class_Lattices_Olattice(_u1226) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1226), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1226), _u1227), _u1228)), _u1227)) )).
% 12.21/12.44 cnf(matrix-1408, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1229) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1229), _u1230), c_Orderings_Obot__class_Obot(_u1229)) = c_Orderings_Obot__class_Obot(_u1229)) )).
% 12.21/12.44 cnf(matrix-1409, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1231) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1231), c_Orderings_Obot__class_Obot(_u1231)), _u1232) = c_Orderings_Obot__class_Obot(_u1231)) )).
% 12.21/12.44 cnf(matrix-1410, plain, ( ~class_Lattices_Olattice(_u1233) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1233), _u1234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1233), _u1234), _u1235)) = _u1234) )).
% 12.21/12.44 cnf(matrix-1411, plain, ( ~class_Lattices_Olattice(_u1236) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1236), _u1237), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1236), _u1237), _u1238)) = _u1237) )).
% 12.21/12.44 cnf(matrix-1412, plain, ( ~class_Lattices_Odistrib__lattice(_u1239) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1239), _u1240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1239), _u1241), _u1242)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1239), _u1240), _u1241)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1239), _u1240), _u1242))) )).
% 12.21/12.44 cnf(matrix-1413, plain, ( ~class_Lattices_Odistrib__lattice(_u1243) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1243), _u1244), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1243), _u1245), _u1246)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1243), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1243), _u1244), _u1245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1243), _u1244), _u1246))) )).
% 12.21/12.44 cnf(matrix-1414, plain, ( ~class_Lattices_Odistrib__lattice(_u1247) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1247), _u1248), _u1249)), _u1250) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1247), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1247), _u1248), _u1250)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1247), _u1249), _u1250))) )).
% 12.21/12.44 cnf(matrix-1415, plain, ( ~class_Lattices_Odistrib__lattice(_u1251) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1251), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1251), _u1252), _u1253)), _u1254) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1251), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1251), _u1252), _u1254)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1251), _u1253), _u1254))) )).
% 12.21/12.44 cnf(matrix-1416, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1255), _u1256), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1255, tc_HOL_Obool)), _u1257), _u1258))) | ~hBOOL(hAPP(hAPP(c_member(_u1255), _u1256), _u1258)) )).
% 12.21/12.44 cnf(matrix-1417, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1259), _u1260), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1259, tc_HOL_Obool)), _u1261), _u1262))) | hBOOL(hAPP(hAPP(c_member(_u1259), _u1260), _u1261)) )).
% 12.21/12.44 cnf(matrix-1418, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1267, tc_HOL_Obool)), _u1271), _u1273))) | hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), _u1271)) )).
% 12.21/12.44 cnf(matrix-1419, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1267, tc_HOL_Obool)), _u1271), _u1273))) | ~hBOOL(hAPP(hAPP(c_member(_u1267), _u1269), _u1273)) )).
% 12.21/12.44 cnf(matrix-1420, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1268), _u1270), _u1272)) | hBOOL(hAPP(hAPP(c_member(_u1268), _u1270), _u1274)) | hBOOL(hAPP(hAPP(c_member(_u1268), _u1270), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1268, tc_HOL_Obool)), _u1272), _u1274))) )).
% 12.21/12.44 cnf(matrix-1421, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1275), _u1276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1275, tc_HOL_Obool)), _u1277), _u1278))) | hBOOL(hAPP(hAPP(c_member(_u1275), _u1276), _u1278)) )).
% 12.21/12.44 cnf(matrix-1422, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1279), _u1280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1279, tc_HOL_Obool)), _u1281), _u1282))) | hBOOL(hAPP(hAPP(c_member(_u1279), _u1280), _u1281)) )).
% 12.21/12.44 cnf(matrix-1423, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1287, tc_HOL_Obool)), _u1291), _u1293))) | hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), _u1291)) )).
% 12.21/12.44 cnf(matrix-1424, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1287, tc_HOL_Obool)), _u1291), _u1293))) | hBOOL(hAPP(hAPP(c_member(_u1287), _u1289), _u1293)) )).
% 12.21/12.44 cnf(matrix-1425, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1288), _u1290), _u1292)) | ~hBOOL(hAPP(hAPP(c_member(_u1288), _u1290), _u1294)) | hBOOL(hAPP(hAPP(c_member(_u1288), _u1290), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1288, tc_HOL_Obool)), _u1292), _u1294))) )).
% 12.21/12.44 cnf(matrix-1426, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1295, tc_HOL_Obool)), _u1296), _u1296) = c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1427, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1297, tc_HOL_Obool)), _u1298), c_Orderings_Obot__class_Obot(tc_fun(_u1297, tc_HOL_Obool))) = _u1298) )).
% 12.21/12.44 cnf(matrix-1428, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1299, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1299, tc_HOL_Obool))), _u1300) = c_Orderings_Obot__class_Obot(tc_fun(_u1299, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1429, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1308, tc_HOL_Obool)), _u1310), _u1312) != c_Orderings_Obot__class_Obot(tc_fun(_u1308, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1308), _u1302), _u1310)) | ~hBOOL(hAPP(hAPP(c_member(_u1308), _u1301), _u1312)) | ( _u1302 != _u1301) )).
% 12.21/12.44 cnf(matrix-1430, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1309, tc_HOL_Obool)), _u1311), _u1313) = c_Orderings_Obot__class_Obot(tc_fun(_u1309, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1309), skolem23(_u1313, _u1311, _u1309)), _u1311)) )).
% 12.21/12.44 cnf(matrix-1431, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1309, tc_HOL_Obool)), _u1311), _u1313) = c_Orderings_Obot__class_Obot(tc_fun(_u1309, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1309), skolem24(_u1313, _u1311, _u1309)), _u1313)) )).
% 12.21/12.44 cnf(matrix-1432, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1309, tc_HOL_Obool)), _u1311), _u1313) = c_Orderings_Obot__class_Obot(tc_fun(_u1309, tc_HOL_Obool))) | ( skolem23(_u1313, _u1311, _u1309) = skolem24(_u1313, _u1311, _u1309)) )).
% 12.21/12.44 cnf(matrix-1433, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1314, tc_HOL_Obool)), _u1315), c_Orderings_Obot__class_Obot(tc_fun(_u1314, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1314, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1434, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1316, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))), _u1317) = c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1318, tc_HOL_Obool)), _u1319), _u1320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1318, tc_HOL_Obool)), _u1320), _u1321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1318, tc_HOL_Obool)), _u1320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1318, tc_HOL_Obool)), _u1321), _u1319)) = _u1319) )).
% 12.21/12.44 cnf(matrix-1436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1322, tc_HOL_Obool)), _u1323), _u1324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1322, tc_HOL_Obool)), _u1325), _u1326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1322, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1322, tc_HOL_Obool)), _u1323), _u1326)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1322, tc_HOL_Obool)), _u1324), _u1325))) )).
% 12.21/12.44 cnf(matrix-1437, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1327, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1327, tc_HOL_Obool)), _u1328), _u1329)), _u1328)) )).
% 12.21/12.44 cnf(matrix-1438, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1330), _u1331), _u1332)), hAPP(hAPP(c_Set_Oinsert(_u1330), _u1331), _u1333)) = hAPP(hAPP(c_Set_Oinsert(_u1330), _u1331), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), _u1332), _u1333))) )).
% 12.21/12.44 cnf(matrix-1439, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1334, tc_HOL_Obool)), _u1335), _u1336)), _u1337) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1334, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1334, tc_HOL_Obool)), _u1335), _u1337)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1334, tc_HOL_Obool)), _u1336), _u1337))) )).
% 12.21/12.44 cnf(matrix-1440, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1338, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1338, tc_HOL_Obool)), _u1339), _u1340)), _u1340) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1338, tc_HOL_Obool)), _u1339), _u1340)) )).
% 12.21/12.44 cnf(matrix-1441, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1341, tc_HOL_Obool)), _u1343), _u1342)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), _u1343)) )).
% 12.21/12.44 cnf(matrix-1442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1344, tc_HOL_Obool)), _u1345), _u1346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1344, tc_HOL_Obool)), _u1347), _u1348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1344, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1344, tc_HOL_Obool)), _u1345), _u1347)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1344, tc_HOL_Obool)), _u1346), _u1348))) )).
% 12.21/12.44 cnf(matrix-1443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1349, tc_HOL_Obool)), _u1350), _u1351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1349, tc_HOL_Obool)), _u1350), _u1352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1349, tc_HOL_Obool)), _u1350), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1349, tc_HOL_Obool)), _u1351), _u1352))) )).
% 12.21/12.44 cnf(matrix-1444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1353, tc_HOL_Obool)), _u1354), _u1355)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1353, tc_HOL_Obool)), _u1355), _u1354) = _u1354) )).
% 12.21/12.44 cnf(matrix-1445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1356, tc_HOL_Obool)), _u1357), _u1358)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1356, tc_HOL_Obool)), _u1357), _u1358) = _u1357) )).
% 12.21/12.44 cnf(matrix-1446, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1359, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1359, tc_HOL_Obool)), _u1360), _u1361)), _u1361)) )).
% 12.21/12.44 cnf(matrix-1447, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1362, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1362, tc_HOL_Obool)), _u1363), _u1364)), _u1363)) )).
% 12.21/12.44 cnf(matrix-1448, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), _u1366), _u1367)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), _u1367), _u1368))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), _u1368), _u1366)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1365, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), _u1366), _u1367)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), _u1367), _u1368))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1365, tc_HOL_Obool)), _u1368), _u1366))) )).
% 12.21/12.44 cnf(matrix-1449, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1369, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1369, tc_HOL_Obool)), _u1370), _u1371)), _u1372) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1369, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1369, tc_HOL_Obool)), _u1370), _u1372)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1369, tc_HOL_Obool)), _u1371), _u1372))) )).
% 12.21/12.44 cnf(matrix-1450, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1373, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1373, tc_HOL_Obool)), _u1374), _u1375)), _u1376) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1373, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1373, tc_HOL_Obool)), _u1374), _u1376)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1373, tc_HOL_Obool)), _u1375), _u1376))) )).
% 12.21/12.44 cnf(matrix-1451, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1378), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1377, tc_HOL_Obool)), _u1379), _u1380)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1377, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1378), _u1379)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1378), _u1380))) )).
% 12.21/12.44 cnf(matrix-1452, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1381, tc_HOL_Obool)), _u1382), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1381, tc_HOL_Obool)), _u1383), _u1384)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1381, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1381, tc_HOL_Obool)), _u1382), _u1383)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1381, tc_HOL_Obool)), _u1382), _u1384))) )).
% 12.21/12.44 cnf(matrix-1453, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1385, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1385, tc_HOL_Obool))), hAPP(c_Set_OPow(_u1385), _u1386))) )).
% 12.21/12.44 cnf(matrix-1454, plain, ( ( hAPP(c_Set_OPow(_u1387), c_Orderings_Obot__class_Obot(tc_fun(_u1387, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1387, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1387, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1387, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1455, plain, ( ( hAPP(c_Set_OPow(_u1388), hAPP(hAPP(c_Set_Oinsert(_u1388), _u1389), _u1390)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1388, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1388), _u1390)), hAPP(c_Set_Oimage(tc_fun(_u1388, tc_HOL_Obool), tc_fun(_u1388, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u1388), _u1389)), hAPP(c_Set_OPow(_u1388), _u1390)))) )).
% 12.21/12.44 cnf(matrix-1456, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1394, tc_HOL_Obool)), _u1396), hAPP(c_Set_OPow(_u1394), _u1398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1394, tc_HOL_Obool)), _u1396), _u1398)) )).
% 12.21/12.44 cnf(matrix-1457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1395, tc_HOL_Obool)), _u1397), hAPP(c_Set_OPow(_u1395), _u1399))) )).
% 12.21/12.44 cnf(matrix-1458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1400, tc_HOL_Obool)), _u1401), hAPP(c_Set_OPow(_u1400), _u1402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1400, tc_HOL_Obool)), _u1401), _u1402)) )).
% 12.21/12.44 cnf(matrix-1459, plain, ( ( hAPP(c_Set_Oimage(_u1403, _u1404, _u1405), _u1406) != _u1407) | ( hAPP(c_Set_Oimage(tc_fun(_u1403, tc_HOL_Obool), tc_fun(_u1404, tc_HOL_Obool), c_Set_Oimage(_u1403, _u1404, _u1405)), hAPP(c_Set_OPow(_u1403), _u1406)) = hAPP(c_Set_OPow(_u1404), _u1407)) )).
% 12.21/12.44 cnf(matrix-1460, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1412, tc_fun(_u1412, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1412)), _u1414)), hAPP(hAPP(c_COMBC(_u1412, tc_fun(_u1412, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1412)), _u1416)), _u1418)) | hBOOL(hAPP(hAPP(c_member(_u1412), _u1418), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1414), _u1416))) )).
% 12.21/12.44 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1413), _u1419), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1413, tc_HOL_Obool)), _u1415), _u1417))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1413, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1413, tc_fun(_u1413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1413)), _u1415)), hAPP(hAPP(c_COMBC(_u1413, tc_fun(_u1413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1413)), _u1417)), _u1419)) )).
% 12.21/12.44 cnf(matrix-1462, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1420), _u1421), _u1422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1420, tc_HOL_Obool)), _u1422), hAPP(_u1423, _u1422))) | hBOOL(hAPP(hAPP(c_member(_u1420), _u1421), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1420, tc_HOL_Obool), _u1423))) )).
% 12.21/12.44 cnf(matrix-1463, plain, ( ( hAPP(c_Set_OCollect(_u1424), hAPP(hAPP(c_COMBS(_u1424, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1424), c_fconj), _u1425)), _u1426)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1424, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1424), _u1425)), hAPP(c_Set_OCollect(_u1424), _u1426))) )).
% 12.21/12.44 cnf(matrix-1464, plain, ( ( hAPP(c_Set_OPow(_u1427), _u1428) = hAPP(c_Set_OCollect(tc_fun(_u1427, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u1427, tc_HOL_Obool), tc_fun(_u1427, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u1427, tc_HOL_Obool))), _u1428))) )).
% 12.21/12.44 cnf(matrix-1465, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1429) | ~c_Orderings_Oorder__class_Omono(_u1429, _u1429, _u1430) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1429), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1429, _u1430)), hAPP(_u1430, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1429, _u1430)))) )).
% 12.21/12.44 cnf(matrix-1466, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1431) | ~c_Orderings_Oorder__class_Omono(_u1431, _u1431, _u1432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1431), hAPP(_u1432, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1431, _u1432))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1431, _u1432))) )).
% 12.21/12.44 cnf(matrix-1467, plain, ( ~class_Lattices_Olattice(_u1433) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1433), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1433), _u1434), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1433), _u1435), _u1436))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1433), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1433), _u1434), _u1435)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1433), _u1434), _u1436)))) )).
% 12.21/12.44 cnf(matrix-1468, plain, ( ~class_Lattices_Olattice(_u1437) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1437), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1437), _u1438), _u1439)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1437), _u1438), _u1440))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1437), _u1438), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1437), _u1439), _u1440)))) )).
% 12.21/12.44 cnf(matrix-1469, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1445), _u1447), _u1449)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1445, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1445), _u1447), _u1451)), _u1449) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1445, tc_HOL_Obool)), _u1451), _u1449)) )).
% 12.21/12.44 cnf(matrix-1470, plain, ( hBOOL(hAPP(hAPP(c_member(_u1446), _u1448), _u1450)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1446, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1446), _u1448), _u1452)), _u1450) = hAPP(hAPP(c_Set_Oinsert(_u1446), _u1448), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1446, tc_HOL_Obool)), _u1452), _u1450))) )).
% 12.21/12.44 cnf(matrix-1471, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1453), _u1454), _u1455)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1453, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1453), _u1454), _u1456)), _u1455) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1453, tc_HOL_Obool)), _u1456), _u1455)) )).
% 12.21/12.44 cnf(matrix-1472, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1457), _u1458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1457, tc_HOL_Obool)), _u1459), hAPP(hAPP(c_Set_Oinsert(_u1457), _u1458), c_Orderings_Obot__class_Obot(tc_fun(_u1457, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1457), _u1458), _u1459)) )).
% 12.21/12.44 cnf(matrix-1473, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1460, tc_HOL_Obool)), _u1461), hAPP(hAPP(c_Set_Oinsert(_u1460), _u1462), _u1463)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1460, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1460, tc_HOL_Obool)), _u1461), hAPP(hAPP(c_Set_Oinsert(_u1460), _u1462), c_Orderings_Obot__class_Obot(tc_fun(_u1460, tc_HOL_Obool))))), _u1463)) )).
% 12.21/12.44 cnf(matrix-1474, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1464, tc_HOL_Obool)), _u1465), hAPP(hAPP(c_Set_Oinsert(_u1464), _u1466), _u1467)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1464, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1464, tc_HOL_Obool)), _u1465), _u1467)), hAPP(hAPP(c_Set_Oinsert(_u1464), _u1466), c_Orderings_Obot__class_Obot(tc_fun(_u1464, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1475, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1472), _u1474), _u1476)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1472, tc_HOL_Obool)), _u1476), hAPP(hAPP(c_Set_Oinsert(_u1472), _u1474), _u1478)) = hAPP(hAPP(c_Set_Oinsert(_u1472), _u1474), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1472, tc_HOL_Obool)), _u1476), _u1478))) )).
% 12.21/12.44 cnf(matrix-1476, plain, ( hBOOL(hAPP(hAPP(c_member(_u1473), _u1475), _u1477)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1473, tc_HOL_Obool)), _u1477), hAPP(hAPP(c_Set_Oinsert(_u1473), _u1475), _u1479)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1473, tc_HOL_Obool)), _u1477), _u1479)) )).
% 12.21/12.44 cnf(matrix-1477, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1484), _u1486), _u1488)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1484), _u1486), _u1490)), _u1488) = hAPP(hAPP(c_Set_Oinsert(_u1484), _u1486), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1484, tc_HOL_Obool)), _u1490), _u1488))) )).
% 12.21/12.44 cnf(matrix-1478, plain, ( hBOOL(hAPP(hAPP(c_member(_u1485), _u1487), _u1489)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1485, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1485), _u1487), _u1491)), _u1489) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1485, tc_HOL_Obool)), _u1491), _u1489)) )).
% 12.21/12.44 cnf(matrix-1479, plain, ( hBOOL(hAPP(hAPP(c_member(_u1492), _u1493), _u1494)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool)), _u1494), hAPP(hAPP(c_Set_Oinsert(_u1492), _u1493), _u1495)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1492, tc_HOL_Obool)), _u1494), _u1495)) )).
% 12.21/12.44 cnf(matrix-1480, plain, ( hBOOL(hAPP(hAPP(c_member(_u1496), _u1497), _u1498)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1496, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1496), _u1497), _u1499)), _u1498) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1496, tc_HOL_Obool)), _u1499), _u1498)) )).
% 12.21/12.44 cnf(matrix-1481, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1501), _u1502)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool)), _u1502), hAPP(hAPP(c_Set_Oinsert(_u1500), _u1501), _u1503)) = hAPP(hAPP(c_Set_Oinsert(_u1500), _u1501), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1500, tc_HOL_Obool)), _u1502), _u1503))) )).
% 12.21/12.44 cnf(matrix-1482, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1504), _u1505), _u1506)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1504, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1504), _u1505), _u1507)), _u1506) = hAPP(hAPP(c_Set_Oinsert(_u1504), _u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1504, tc_HOL_Obool)), _u1507), _u1506))) )).
% 12.21/12.44 cnf(matrix-1483, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1508, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1508, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1509, _u1508, _u1510), _u1511)), hAPP(c_Set_Oimage(_u1509, _u1508, _u1510), _u1512))), hAPP(c_Set_Oimage(_u1509, _u1508, _u1510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1509, tc_HOL_Obool)), _u1511), _u1512)))) )).
% 12.21/12.44 cnf(matrix-1484, plain, ( ~class_Lattices_Osemilattice__inf(_u1513) | ~class_Lattices_Osemilattice__inf(_u1514) | ~c_Orderings_Oorder__class_Omono(_u1514, _u1513, _u1515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1513), hAPP(_u1515, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1514), _u1516), _u1517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), hAPP(_u1515, _u1516)), hAPP(_u1515, _u1517)))) )).
% 12.21/12.44 cnf(matrix-1485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1522, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1522, tc_HOL_Obool)), _u1524), _u1526)), _u1528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1522, tc_HOL_Obool)), _u1524), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1522, tc_HOL_Obool)), _u1526), _u1528))) )).
% 12.21/12.44 cnf(matrix-1486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1523, tc_HOL_Obool)), _u1525), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1523, tc_HOL_Obool)), _u1527), _u1529))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1523, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1523, tc_HOL_Obool)), _u1525), _u1527)), _u1529)) )).
% 12.21/12.44 cnf(matrix-1487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1530, tc_HOL_Obool)), _u1531), _u1532)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1530, tc_HOL_Obool)), _u1531), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1530, tc_HOL_Obool)), _u1532), _u1531)) = _u1532) )).
% 12.21/12.44 cnf(matrix-1488, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1533, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1534, _u1533, _u1535), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1534, tc_HOL_Obool)), _u1536), _u1537))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1533, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1534, _u1533, _u1535), _u1536)), hAPP(c_Set_Oimage(_u1534, _u1533, _u1535), _u1537)))) )).
% 12.21/12.44 cnf(matrix-1489, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1542, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1542, tc_HOL_Obool)), _u1544), _u1546)), _u1548) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1542, tc_HOL_Obool)), _u1544), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1542, tc_HOL_Obool)), _u1546), _u1548))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1542, tc_HOL_Obool)), _u1548), _u1544)) )).
% 12.21/12.44 cnf(matrix-1490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1543, tc_HOL_Obool)), _u1549), _u1545)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1543, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1543, tc_HOL_Obool)), _u1545), _u1547)), _u1549) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1543, tc_HOL_Obool)), _u1545), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1543, tc_HOL_Obool)), _u1547), _u1549))) )).
% 12.21/12.44 cnf(matrix-1491, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1550), _u1551), _u1552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1553, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1550, _u1553, _u1554), _u1552)), hAPP(_u1555, hAPP(c_Set_Oimage(_u1550, _u1553, _u1554), _u1552)))) | hBOOL(hAPP(hAPP(c_member(_u1553), hAPP(_u1554, _u1551)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1553, tc_HOL_Obool), _u1555))) )).
% 12.21/12.44 cnf(matrix-1492, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1556, tc_HOL_Obool)), _u1557), _u1558) = hAPP(c_Set_OCollect(_u1556), hAPP(hAPP(c_COMBS(_u1556, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1556), c_fconj), hAPP(hAPP(c_COMBC(_u1556, tc_fun(_u1556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1556)), _u1557))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1556), c_fNot), hAPP(hAPP(c_COMBC(_u1556, tc_fun(_u1556, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1556)), _u1558))))) )).
% 12.21/12.44 cnf(matrix-1493, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1559, tc_HOL_Obool), tc_fun(_u1560, tc_HOL_Obool), _u1561) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1560, tc_HOL_Obool)), hAPP(_u1561, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1559, tc_HOL_Obool)), _u1562), _u1563))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1560, tc_HOL_Obool)), hAPP(_u1561, _u1562)), hAPP(_u1561, _u1563)))) )).
% 12.21/12.44 cnf(matrix-1494, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1568), _u1570), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), _u1572), hAPP(c_Set_OCollect(_u1568), _u1574)))) | hBOOL(hAPP(hAPP(c_member(_u1568), _u1570), _u1572)) )).
% 12.21/12.44 cnf(matrix-1495, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1568), _u1570), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), _u1572), hAPP(c_Set_OCollect(_u1568), _u1574)))) | hBOOL(hAPP(_u1574, _u1570)) )).
% 12.21/12.44 cnf(matrix-1496, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1569), _u1571), _u1573)) | ~hBOOL(hAPP(_u1575, _u1571)) | hBOOL(hAPP(hAPP(c_member(_u1569), _u1571), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1569, tc_HOL_Obool)), _u1573), hAPP(c_Set_OCollect(_u1569), _u1575)))) )).
% 12.21/12.44 cnf(matrix-1497, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1576, tc_HOL_Obool)), _u1577), _u1578) = hAPP(c_Set_OCollect(_u1576), hAPP(hAPP(c_COMBS(_u1576, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1576), c_fconj), hAPP(hAPP(c_COMBC(_u1576, tc_fun(_u1576, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1576)), _u1577))), hAPP(hAPP(c_COMBC(_u1576, tc_fun(_u1576, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1576)), _u1578)))) )).
% 12.21/12.44 cnf(matrix-1498, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1579, tc_HOL_Obool), tc_fun(_u1579, tc_HOL_Obool), _u1580) | ~hBOOL(hAPP(hAPP(c_member(_u1579), _u1581), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1579, tc_HOL_Obool), _u1580))) | hBOOL(hAPP(hAPP(c_member(_u1579), _u1581), hAPP(_u1580, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1579, tc_HOL_Obool)), _u1582), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1579, tc_HOL_Obool), _u1580))))) )).
% 12.21/12.44 cnf(matrix-1499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1583, tc_HOL_Obool)), _u1584), _u1585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1583, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1583), _u1584)), hAPP(c_Set_OPow(_u1583), _u1585))) )).
% 12.21/12.44 cnf(matrix-1500, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1586) | ~c_Orderings_Oorder__class_Omono(_u1586, _u1586, _u1587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1586), _u1588), hAPP(_u1587, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1586), _u1588), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1586, _u1587))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1586), _u1588), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1586, _u1587))) )).
% 12.21/12.44 cnf(matrix-1501, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1589), _u1590), hAPP(_u1591, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1589, _u1591))))) | ~c_Orderings_Oorder__class_Omono(_u1589, _u1589, _u1591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1589, _u1591))), hAPP(_u1591, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1589, _u1591))))) )).
% 12.21/12.44 cnf(matrix-1502, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1592) | ( _u1593 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1592, _u1594)) | ~c_Orderings_Oorder__class_Omono(_u1592, _u1592, _u1594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1592), _u1595), hAPP(_u1594, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1592), _u1595), _u1593)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1592), _u1595), _u1593)) )).
% 12.21/12.44 cnf(matrix-1503, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1596, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1596, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1596), _u1597)), hAPP(c_Set_OPow(_u1596), _u1598))), hAPP(c_Set_OPow(_u1596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1596, tc_HOL_Obool)), _u1597), _u1598)))) )).
% 12.21/12.44 cnf(matrix-1504, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1599), _u1600), _u1601)) | ( hAPP(hAPP(c_Set_Oinsert(_u1599), _u1600), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1599, tc_HOL_Obool)), _u1601), hAPP(hAPP(c_Set_Oinsert(_u1599), _u1600), c_Orderings_Obot__class_Obot(tc_fun(_u1599, tc_HOL_Obool))))) = _u1601) )).
% 12.21/12.44 cnf(matrix-1505, plain, ( hBOOL(hAPP(hAPP(c_member(_u1602), _u1603), _u1604)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1602, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1602), _u1603), _u1604)), hAPP(hAPP(c_Set_Oinsert(_u1602), _u1603), c_Orderings_Obot__class_Obot(tc_fun(_u1602, tc_HOL_Obool)))) = _u1604) )).
% 12.21/12.44 cnf(matrix-1506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1608, tc_HOL_Obool)), _u1610), hAPP(hAPP(c_Set_Oinsert(_u1608), _u1612), c_Orderings_Obot__class_Obot(tc_fun(_u1608, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1608, _u1612, _u1610) = _u1612) )).
% 12.21/12.44 cnf(matrix-1507, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), c_Orderings_Obot__class_Obot(tc_fun(_u1609, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1609, _u1613, _u1611) = c_HOL_OThe(_u1609, hAPP(hAPP(c_COMBC(_u1609, tc_fun(_u1609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1609)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), c_Orderings_Obot__class_Obot(tc_fun(_u1609, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1508, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool), _u1615) | ~hBOOL(hAPP(hAPP(c_member(_u1614), _u1616), _u1617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1614, tc_HOL_Obool)), _u1617), hAPP(_u1615, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1614, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1614, tc_HOL_Obool), tc_fun(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), tc_fun(_u1614, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1614, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1614, tc_HOL_Obool), tc_fun(tc_fun(_u1614, tc_HOL_Obool), tc_fun(_u1614, tc_HOL_Obool)), tc_fun(_u1614, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1614, tc_HOL_Obool))), _u1615)), _u1617))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1614, tc_HOL_Obool), _u1615)))))) | hBOOL(hAPP(hAPP(c_member(_u1614), _u1616), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1614, tc_HOL_Obool), _u1615))) )).
% 12.21/12.44 cnf(matrix-1509, plain, ( ( _u1618 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1619, tc_HOL_Obool), _u1620)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool), _u1620) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1621), _u1622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1622), hAPP(_u1620, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1619, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1619, tc_HOL_Obool), tc_fun(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), tc_fun(_u1619, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1619, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1619, tc_HOL_Obool), tc_fun(tc_fun(_u1619, tc_HOL_Obool), tc_fun(_u1619, tc_HOL_Obool)), tc_fun(_u1619, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1619, tc_HOL_Obool))), _u1620)), _u1622))), _u1618))))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1621), _u1618)) )).
% 12.21/12.44 cnf(matrix-1510, plain, ( ( _u1624 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626)) | ~hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1628)) | hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1624)) | hBOOL(hAPP(hAPP(c_member(_u1625), skolem25(_u1628, _u1627, _u1626, _u1625, _u1624)), _u1628)) )).
% 12.21/12.44 cnf(matrix-1511, plain, ( ( _u1624 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool), tc_fun(_u1625, tc_HOL_Obool)), c_Set_OCollect(_u1625)), _u1626)) | ~hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1628)) | hBOOL(hAPP(hAPP(c_member(_u1625), _u1627), _u1624)) | ~hBOOL(hAPP(hAPP(_u1626, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1625, tc_HOL_Obool)), _u1628), _u1624)), skolem25(_u1628, _u1627, _u1626, _u1625, _u1624))) )).
% 12.21/12.44 cnf(matrix-1512, plain, ( ~class_Groups_Oordered__ab__group__add(_u1629) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1630), _u1631) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1632), _u1633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1632), _u1633)) )).
% 12.21/12.44 cnf(matrix-1513, plain, ( ~class_Groups_Oordered__ab__group__add(_u1629) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1630), _u1631) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1629), _u1632), _u1633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1632), _u1633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) )).
% 12.21/12.44 cnf(matrix-1514, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1640), _u1642), _u1644)) | ( hAPP(c_Set_Oimage(_u1640, _u1646, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1640, _u1646), _u1648), _u1642), _u1650)), _u1644) = hAPP(hAPP(c_Set_Oinsert(_u1646), _u1650), hAPP(c_Set_Oimage(_u1640, _u1646, _u1648), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1640, tc_HOL_Obool)), _u1644), hAPP(hAPP(c_Set_Oinsert(_u1640), _u1642), c_Orderings_Obot__class_Obot(tc_fun(_u1640, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1515, plain, ( hBOOL(hAPP(hAPP(c_member(_u1641), _u1643), _u1645)) | ( hAPP(c_Set_Oimage(_u1641, _u1647, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1641, _u1647), _u1649), _u1643), _u1651)), _u1645) = hAPP(c_Set_Oimage(_u1641, _u1647, _u1649), _u1645)) )).
% 12.21/12.44 cnf(matrix-1516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1652, tc_HOL_Obool)), _u1653), hAPP(_u1654, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1652, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), _u1654)), _u1653))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1652, tc_HOL_Obool), _u1654)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), _u1654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1652, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1652, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), _u1654)), _u1653))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1652, tc_HOL_Obool), _u1654)))), hAPP(_u1654, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1652, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1652, tc_HOL_Obool), tc_fun(tc_fun(_u1652, tc_HOL_Obool), tc_fun(_u1652, tc_HOL_Obool)), tc_fun(_u1652, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1652, tc_HOL_Obool))), _u1654)), _u1653))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1652, tc_HOL_Obool), _u1654)))))) )).
% 12.21/12.44 cnf(matrix-1517, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), _u1665))) | ~hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1665)) )).
% 12.21/12.44 cnf(matrix-1518, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), _u1665))) | hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1665)) | ~hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), c_Orderings_Obot__class_Obot(tc_fun(_u1659, tc_HOL_Obool))))), _u1665)) )).
% 12.21/12.44 cnf(matrix-1519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1659, tc_HOL_Obool)), _u1661), hAPP(hAPP(c_Set_Oinsert(_u1659), _u1663), _u1665))) | hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1665)) | hBOOL(hAPP(hAPP(c_member(_u1659), _u1663), _u1661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1659, tc_HOL_Obool)), _u1661), _u1665)) )).
% 12.21/12.44 cnf(matrix-1520, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.44 cnf(matrix-1521, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) )).
% 12.21/12.44 cnf(matrix-1522, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.44 cnf(matrix-1523, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | ~hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1666)) )).
% 12.21/12.44 cnf(matrix-1524, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.44 cnf(matrix-1525, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_member(_u1660), _u1664), _u1662)) )).
% 12.21/12.44 cnf(matrix-1526, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), _u1666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1660, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1660, tc_HOL_Obool)), _u1662), hAPP(hAPP(c_Set_Oinsert(_u1660), _u1664), c_Orderings_Obot__class_Obot(tc_fun(_u1660, tc_HOL_Obool))))), _u1666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), _u1662), _u1666)) )).
% 12.21/12.44 cnf(matrix-1527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), _u1669), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1669), hAPP(c_Set_OCollect(_u1668), _u1671))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1670), hAPP(c_Set_OCollect(_u1668), _u1672)))) | hBOOL(hAPP(hAPP(c_member(_u1668), skolem26(_u1672, _u1671, _u1670, _u1669, _u1668)), _u1669)) )).
% 12.21/12.44 cnf(matrix-1528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), _u1669), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1669), hAPP(c_Set_OCollect(_u1668), _u1671))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1670), hAPP(c_Set_OCollect(_u1668), _u1672)))) | hBOOL(hAPP(_u1671, skolem26(_u1672, _u1671, _u1670, _u1669, _u1668))) )).
% 12.21/12.44 cnf(matrix-1529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), _u1669), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1669), hAPP(c_Set_OCollect(_u1668), _u1671))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1670), hAPP(c_Set_OCollect(_u1668), _u1672)))) | ~hBOOL(hAPP(_u1672, skolem26(_u1672, _u1671, _u1670, _u1669, _u1668))) )).
% 12.21/12.44 cnf(matrix-1530, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1673), _u1674), _u1675)) | ~c_Nitpick_Ofold__graph_H(_u1673, _u1676, _u1677, _u1678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1673, tc_HOL_Obool)), _u1675), hAPP(hAPP(c_Set_Oinsert(_u1673), _u1674), c_Orderings_Obot__class_Obot(tc_fun(_u1673, tc_HOL_Obool)))), _u1679) | c_Nitpick_Ofold__graph_H(_u1673, _u1676, _u1677, _u1678, _u1675, hAPP(hAPP(_u1677, _u1674), _u1679)) )).
% 12.21/12.44 cnf(matrix-1531, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1680) | ~c_Orderings_Oorder__class_Omono(_u1680, _u1680, _u1681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1680), hAPP(_u1681, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1680), c_Inductive_Ocomplete__lattice__class_Olfp(_u1680, _u1681)), _u1682))), _u1682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1680), c_Inductive_Ocomplete__lattice__class_Olfp(_u1680, _u1681)), _u1682)) )).
% 12.21/12.44 cnf(matrix-1532, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1683, _u1684), _u1685), _u1686), hAPP(_u1685, _u1686)) = _u1685) )).
% 12.21/12.44 cnf(matrix-1533, plain, ( ( hAPP(_u1696, _u1698) = _u1700) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1692, _u1694), _u1696), _u1698), _u1700) != _u1696) )).
% 12.21/12.44 cnf(matrix-1534, plain, ( ( hAPP(_u1697, _u1699) != _u1701) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1693, _u1695), _u1697), _u1699), _u1701) = _u1697) )).
% 12.21/12.44 cnf(matrix-1535, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1702, _u1703), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1702, _u1703), _u1704), _u1705), _u1706)), _u1705), _u1707) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1702, _u1703), _u1704), _u1705), _u1707)) )).
% 12.21/12.44 cnf(matrix-1536, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1708, _u1709), _u1710), _u1711), _u1712), _u1711) = _u1712) )).
% 12.21/12.44 cnf(matrix-1537, plain, ( ( _u1719 != _u1721) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1723, _u1725), _u1727), _u1721), _u1729), _u1719) = _u1729) )).
% 12.21/12.44 cnf(matrix-1538, plain, ( ( _u1720 = _u1722) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1724, _u1726), _u1728), _u1722), _u1730), _u1720) = hAPP(_u1728, _u1720)) )).
% 12.21/12.44 cnf(matrix-1539, plain, ( ( _u1731 = _u1732) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), _u1735), _u1731), _u1736)), _u1732), _u1737) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1733, _u1734), _u1735), _u1732), _u1737)), _u1731), _u1736)) )).
% 12.21/12.44 cnf(matrix-1540, plain, ( ( _u1738 = _u1739) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1740, _u1741), _u1742), _u1739), _u1743), _u1738) = hAPP(_u1742, _u1738)) )).
% 12.21/12.44 cnf(matrix-1541, plain, ( ( hAPP(_u1744, _u1745) != _u1746) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1747, _u1748), _u1744), _u1745), _u1746) = _u1744) )).
% 12.21/12.44 cnf(matrix-1542, plain, ( ~class_Orderings_Opreorder(_u1749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1749), _u1750), _u1750)) )).
% 12.21/12.44 cnf(matrix-1543, plain, ( ~class_Orderings_Olinorder(_u1751) | ( _u1752 = _u1753) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1752), _u1753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1753), _u1752)) )).
% 12.21/12.44 cnf(matrix-1544, plain, ( ~class_Orderings_Olinorder(_u1751) | ( _u1752 != _u1753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1752), _u1753)) )).
% 12.21/12.44 cnf(matrix-1545, plain, ( ~class_Orderings_Olinorder(_u1751) | ( _u1752 != _u1753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1751), _u1753), _u1752)) )).
% 12.21/12.44 cnf(matrix-1546, plain, ( ~class_Orderings_Olinorder(_u1754) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1755), _u1756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1756), _u1755)) | ( _u1755 = _u1756) )).
% 12.21/12.44 cnf(matrix-1547, plain, ( ~class_Orderings_Olinorder(_u1754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1755), _u1756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1756), _u1755)) )).
% 12.21/12.44 cnf(matrix-1548, plain, ( ~class_Orderings_Olinorder(_u1754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1754), _u1755), _u1756)) | ( _u1755 != _u1756) )).
% 12.21/12.44 cnf(matrix-1549, plain, ( ~class_Orderings_Olinorder(_u1757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1758), _u1759)) | ( _u1758 = _u1759) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1757), _u1759), _u1758)) )).
% 12.21/12.44 cnf(matrix-1550, plain, ( ~class_Orderings_Olinorder(_u1760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1761), _u1762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1762), _u1761)) | ( _u1762 = _u1761) )).
% 12.21/12.44 cnf(matrix-1551, plain, ( ~class_Orderings_Olinorder(_u1760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1761), _u1762)) | ( _u1762 != _u1761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1760), _u1762), _u1761)) )).
% 12.21/12.44 cnf(matrix-1552, plain, ( ~class_Orderings_Olinorder(_u1763) | ( _u1764 = _u1765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1764), _u1765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1763), _u1765), _u1764)) )).
% 12.21/12.44 cnf(matrix-1553, plain, ( ~class_Orderings_Oorder(_u1766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1766), _u1767), _u1768)) | ( _u1767 != _u1768) )).
% 12.21/12.44 cnf(matrix-1554, plain, ( ~class_Orderings_Opreorder(_u1769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), _u1770), _u1771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1769), _u1771), _u1770)) )).
% 12.21/12.44 cnf(matrix-1555, plain, ( ~class_Orderings_Opreorder(_u1772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1772), _u1773), _u1774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1772), _u1774), _u1773)) )).
% 12.21/12.44 cnf(matrix-1556, plain, ( ~class_Orderings_Oorder(_u1775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1775), _u1776), _u1777)) | ( _u1776 != _u1777) )).
% 12.21/12.44 cnf(matrix-1557, plain, ( ~class_Orderings_Oorder(_u1778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1778), _u1779), _u1780)) | ( _u1780 != _u1779) )).
% 12.21/12.44 cnf(matrix-1558, plain, ( ~class_Orderings_Opreorder(_u1781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1781), _u1782), _u1783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1781), _u1783), _u1782)) )).
% 12.21/12.44 cnf(matrix-1559, plain, ( ~class_Orderings_Oorder(_u1784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1784), _u1785), _u1786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1784), _u1786), _u1785)) )).
% 12.21/12.44 cnf(matrix-1560, plain, ( ~class_Orderings_Oord(_u1787) | ( _u1788 != _u1789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1787), _u1789), _u1790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1787), _u1788), _u1790)) )).
% 12.21/12.44 cnf(matrix-1561, plain, ( ~class_Orderings_Oorder(_u1791) | ( _u1792 != _u1793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), _u1794), _u1793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1791), _u1794), _u1792)) )).
% 12.21/12.44 cnf(matrix-1562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1795, tc_HOL_Obool)), _u1797), _u1798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1795, tc_HOL_Obool)), _u1796), _u1798)) )).
% 12.21/12.44 cnf(matrix-1563, plain, ( ~class_Orderings_Oord(_u1799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1799), _u1800), _u1801)) | ( _u1801 != _u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1799), _u1800), _u1802)) )).
% 12.21/12.44 cnf(matrix-1564, plain, ( ~class_Orderings_Oorder(_u1803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1803), _u1804), _u1805)) | ( _u1804 != _u1806) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1803), _u1806), _u1805)) )).
% 12.21/12.44 cnf(matrix-1565, plain, ( ~class_Orderings_Opreorder(_u1807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1807), _u1808), _u1809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1807), _u1809), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1807), _u1808), _u1810)) )).
% 12.21/12.44 cnf(matrix-1566, plain, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1814), _u1812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1814), _u1813)) )).
% 12.21/12.44 cnf(matrix-1567, plain, ( ~class_Orderings_Opreorder(_u1815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), _u1817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1817), _u1816)) )).
% 12.21/12.44 cnf(matrix-1568, plain, ( ~class_Orderings_Olinorder(_u1818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1818), _u1819), _u1820)) | ( _u1819 = _u1820) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1818), _u1820), _u1819)) )).
% 12.21/12.44 cnf(matrix-1569, plain, ( ~class_Groups_Oordered__ab__group__add(_u1821) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1822), _u1823) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1824), _u1825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1822), _u1823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1824), _u1825)) )).
% 12.21/12.44 cnf(matrix-1570, plain, ( ~class_Groups_Oordered__ab__group__add(_u1821) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1822), _u1823) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1821), _u1824), _u1825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1824), _u1825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1821), _u1822), _u1823)) )).
% 12.21/12.44 cnf(matrix-1571, plain, ( ( _u1832 != _u1834) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1836, _u1838), _u1840), _u1834), _u1842), _u1832) = _u1842) )).
% 12.21/12.44 cnf(matrix-1572, plain, ( ( _u1833 = _u1835) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u1837, _u1839), _u1841), _u1835), _u1843), _u1833) = hAPP(_u1841, _u1833)) )).
% 12.21/12.44 cnf(matrix-1573, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1844) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u1844, hAPP(c_COMBK(_u1844, _u1844), _u1845)) = _u1845) )).
% 12.21/12.44 cnf(matrix-1574, plain, ( c_Nitpick_Ofold__graph_H(_u1846, _u1847, _u1848, _u1849, c_Orderings_Obot__class_Obot(tc_fun(_u1846, tc_HOL_Obool)), _u1849) )).
% 12.21/12.44 cnf(matrix-1575, plain, ( c_Nitpick_Ofold__graph_H(_u1850, _u1851, _u1852, _u1853, c_Orderings_Obot__class_Obot(tc_fun(_u1850, tc_HOL_Obool)), _u1853) )).
% 12.21/12.44 cnf(matrix-1576, plain, ( ~class_Orderings_Oord(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1855, _u1854)), _u1856), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1856), _u1857)) )).
% 12.21/12.44 cnf(matrix-1577, plain, ( ~class_Orderings_Oord(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1855, _u1854)), _u1856), _u1857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1857), _u1856)) )).
% 12.21/12.44 cnf(matrix-1578, plain, ( ~class_Orderings_Oord(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1856), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1855, _u1854)), _u1857), _u1856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1855, _u1854)), _u1856), _u1857)) )).
% 12.21/12.44 cnf(matrix-1579, plain, ( ~class_Orderings_Olinorder(_u1858) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), _u1859), _u1860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1858), _u1860), _u1859)) )).
% 12.21/12.44 cnf(matrix-1580, plain, ( ~class_Orderings_Olinorder(_u1858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1858), _u1860), _u1859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1858), _u1859), _u1860)) )).
% 12.21/12.44 cnf(matrix-1581, plain, ( ~class_Orderings_Olinorder(_u1861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), _u1862), _u1863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1863), _u1862)) )).
% 12.21/12.44 cnf(matrix-1582, plain, ( ~class_Orderings_Olinorder(_u1861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1863), _u1862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), _u1862), _u1863)) )).
% 12.21/12.44 cnf(matrix-1583, plain, ( ~class_Orderings_Olinorder(_u1864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1864), _u1865), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1864), _u1866), _u1865)) )).
% 12.21/12.44 cnf(matrix-1584, plain, ( ~class_Orderings_Oorder(_u1867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1867), _u1868), _u1869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1867), _u1868), _u1869)) )).
% 12.21/12.44 cnf(matrix-1585, plain, ( ~class_Orderings_Oorder(_u1867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1867), _u1868), _u1869)) | ( _u1868 != _u1869) )).
% 12.21/12.44 cnf(matrix-1586, plain, ( ~class_Orderings_Oorder(_u1867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1867), _u1868), _u1869)) | ( _u1868 = _u1869) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1867), _u1868), _u1869)) )).
% 12.21/12.44 cnf(matrix-1587, plain, ( ~class_Orderings_Opreorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1871), _u1872)) )).
% 12.21/12.44 cnf(matrix-1588, plain, ( ~class_Orderings_Opreorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1872), _u1871)) )).
% 12.21/12.44 cnf(matrix-1589, plain, ( ~class_Orderings_Opreorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1871), _u1872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1870), _u1872), _u1871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1872)) )).
% 12.21/12.44 cnf(matrix-1590, plain, ( ~class_Orderings_Oorder(_u1873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1873), _u1874), _u1875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), _u1874), _u1875)) | ( _u1874 = _u1875) )).
% 12.21/12.44 cnf(matrix-1591, plain, ( ~class_Orderings_Oorder(_u1873) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1873), _u1874), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1873), _u1874), _u1875)) )).
% 12.21/12.44 cnf(matrix-1592, plain, ( ~class_Orderings_Oorder(_u1873) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1873), _u1874), _u1875)) | ( _u1874 != _u1875) )).
% 12.21/12.44 cnf(matrix-1593, plain, ( ~class_Orderings_Olinorder(_u1876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1876), _u1877), _u1878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1876), _u1878), _u1877)) )).
% 12.21/12.44 cnf(matrix-1594, plain, ( ~class_Orderings_Olinorder(_u1879) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1879), _u1880), _u1881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1879), _u1881), _u1880)) )).
% 12.21/12.44 cnf(matrix-1595, plain, ( ~class_Orderings_Olinorder(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), _u1883), _u1884)) | ( _u1883 = _u1884) )).
% 12.21/12.44 cnf(matrix-1596, plain, ( ~class_Orderings_Olinorder(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1884)) | ( _u1883 != _u1884) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), _u1883), _u1884)) )).
% 12.21/12.44 cnf(matrix-1597, plain, ( ~class_Orderings_Oorder(_u1885) | ( _u1886 = _u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1885), _u1886), _u1887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1885), _u1886), _u1887)) )).
% 12.21/12.44 cnf(matrix-1598, plain, ( ~class_Orderings_Oorder(_u1888) | ( _u1889 = _u1890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1888), _u1890), _u1889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), _u1890), _u1889)) )).
% 12.21/12.44 cnf(matrix-1599, plain, ( ~class_Orderings_Olinorder(_u1891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1891), _u1892), _u1893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), _u1893), _u1892)) )).
% 12.21/12.44 cnf(matrix-1600, plain, ( ~class_Orderings_Opreorder(_u1894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1894), _u1895), _u1896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1894), _u1895), _u1896)) )).
% 12.21/12.44 cnf(matrix-1601, plain, ( ~class_Orderings_Olinorder(_u1897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1897), _u1898), _u1899)) | ( _u1898 = _u1899) )).
% 12.21/12.44 cnf(matrix-1602, plain, ( ~class_Orderings_Olinorder(_u1897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) | ( _u1898 != _u1899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1897), _u1898), _u1899)) )).
% 12.21/12.44 cnf(matrix-1603, plain, ( ~class_Orderings_Oorder(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1900), _u1901), _u1902)) | ( _u1901 = _u1902) )).
% 12.21/12.44 cnf(matrix-1604, plain, ( ~class_Orderings_Oorder(_u1903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1903), _u1904), _u1905)) | ( _u1904 = _u1905) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1903), _u1904), _u1905)) )).
% 12.21/12.44 cnf(matrix-1605, plain, ( ~class_Orderings_Oorder(_u1906) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1906), _u1907), _u1908)) | ( _u1908 = _u1907) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1906), _u1907), _u1908)) )).
% 12.21/12.44 cnf(matrix-1606, plain, ( ~class_Orderings_Opreorder(_u1909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1909), _u1910), _u1911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1909), _u1911), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1909), _u1910), _u1912)) )).
% 12.21/12.44 cnf(matrix-1607, plain, ( ~class_Orderings_Oorder(_u1913) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1913), _u1914), _u1915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1913), _u1916), _u1914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1913), _u1916), _u1915)) )).
% 12.21/12.44 cnf(matrix-1608, plain, ( ~class_Orderings_Opreorder(_u1917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), _u1919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1919), _u1920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1918), _u1920)) )).
% 12.21/12.44 cnf(matrix-1609, plain, ( ~class_Orderings_Oorder(_u1921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1921), _u1922), _u1923)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1921), _u1924), _u1922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1921), _u1924), _u1923)) )).
% 12.21/12.44 cnf(matrix-1610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1925, tc_HOL_Obool)), _u1926), _u1927)) | ~hBOOL(hAPP(hAPP(c_member(_u1925), _u1928), _u1926)) | hBOOL(hAPP(hAPP(c_member(_u1925), _u1928), _u1927)) )).
% 12.21/12.44 cnf(matrix-1611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1929, tc_HOL_Obool)), _u1930), c_Orderings_Obot__class_Obot(tc_fun(_u1929, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1612, plain, ( ~class_Lattices_Osemilattice__sup(_u1931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1931), _u1932), _u1933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1931), _u1932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1931), _u1934), _u1933))) )).
% 12.21/12.44 cnf(matrix-1613, plain, ( ~class_Lattices_Osemilattice__sup(_u1935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1935), _u1936), _u1937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1935), _u1936), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1935), _u1937), _u1938))) )).
% 12.21/12.44 cnf(matrix-1614, plain, ( ~class_Lattices_Osemilattice__inf(_u1939) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1939), _u1940), _u1941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1939), _u1940), _u1942)), _u1941)) )).
% 12.21/12.44 cnf(matrix-1615, plain, ( ~class_Lattices_Osemilattice__inf(_u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1943), _u1944), _u1945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1943), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1943), _u1946), _u1944)), _u1945)) )).
% 12.21/12.44 cnf(matrix-1616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1950, tc_HOL_Obool)), _u1952), _u1954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1950, tc_HOL_Obool)), _u1952), _u1954)) )).
% 12.21/12.44 cnf(matrix-1617, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1950, tc_HOL_Obool)), _u1952), _u1954)) | ( _u1952 != _u1954) )).
% 12.21/12.44 cnf(matrix-1618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1951, tc_HOL_Obool)), _u1953), _u1955)) | ( _u1953 = _u1955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1951, tc_HOL_Obool)), _u1953), _u1955)) )).
% 12.21/12.44 cnf(matrix-1619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1959, tc_HOL_Obool)), _u1961), _u1963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1959, tc_HOL_Obool)), _u1961), _u1963)) | ( _u1961 = _u1963) )).
% 12.21/12.44 cnf(matrix-1620, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1960, tc_HOL_Obool)), _u1962), _u1964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1960, tc_HOL_Obool)), _u1962), _u1964)) )).
% 12.21/12.44 cnf(matrix-1621, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1960, tc_HOL_Obool)), _u1962), _u1964)) | ( _u1962 != _u1964) )).
% 12.21/12.44 cnf(matrix-1622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967)) )).
% 12.21/12.44 cnf(matrix-1623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1968, tc_HOL_Obool)), _u1970), _u1971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1971)) )).
% 12.21/12.44 cnf(matrix-1624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1972, tc_HOL_Obool)), _u1973), _u1974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1972, tc_HOL_Obool)), _u1974), _u1975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1972, tc_HOL_Obool)), _u1973), _u1975)) )).
% 12.21/12.44 cnf(matrix-1625, plain, ( ~class_Orderings_Oorder(_u1976) | ~class_Orderings_Olinorder(_u1977) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1977, _u1976, _u1978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), hAPP(_u1978, _u1979)), hAPP(_u1978, _u1980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1979), _u1980)) )).
% 12.21/12.44 cnf(matrix-1626, plain, ( ~class_Orderings_Oorder(_u1976) | ~class_Orderings_Olinorder(_u1977) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1977, _u1976, _u1978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1979), _u1980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1976), hAPP(_u1978, _u1979)), hAPP(_u1978, _u1980))) )).
% 12.21/12.44 cnf(matrix-1627, plain, ( ~class_Orderings_Oorder(_u1981) | ~class_Orderings_Oorder(_u1982) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1982, _u1981, _u1983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1982), _u1984), _u1985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1981), hAPP(_u1983, _u1984)), hAPP(_u1983, _u1985))) )).
% 12.21/12.44 cnf(matrix-1628, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1986), hAPP(_u1987, _u1988)), _u1988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1986), c_Inductive_Ocomplete__lattice__class_Olfp(_u1986, _u1987)), _u1988)) )).
% 12.21/12.44 cnf(matrix-1629, plain, ( ~class_Orderings_Owellorder(_u1989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1989), _u1990), c_Orderings_Oord__class_OLeast(_u1989, _u1991))) | ~hBOOL(hAPP(_u1991, _u1990)) )).
% 12.21/12.44 cnf(matrix-1630, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1992) | ( _u1993 != c_Inductive_Ocomplete__lattice__class_Olfp(_u1992, _u1994)) | ~c_Orderings_Oorder__class_Omono(_u1992, _u1992, _u1994) | ( _u1993 = hAPP(_u1994, _u1993)) )).
% 12.21/12.44 cnf(matrix-1631, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1995) | ~c_Orderings_Oorder__class_Omono(_u1995, _u1995, _u1996) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u1995, _u1996) = hAPP(_u1996, c_Inductive_Ocomplete__lattice__class_Olfp(_u1995, _u1996))) )).
% 12.21/12.44 cnf(matrix-1632, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1997) | ~c_Orderings_Oorder__class_Omono(_u1997, _u1997, _u1998) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), hAPP(_u1998, c_Inductive_Ocomplete__lattice__class_Olfp(_u1997, _u1998))), c_Inductive_Ocomplete__lattice__class_Olfp(_u1997, _u1998))) )).
% 12.21/12.44 cnf(matrix-1633, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1999) | ~c_Orderings_Oorder__class_Omono(_u1999, _u1999, _u2000) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1999), c_Inductive_Ocomplete__lattice__class_Olfp(_u1999, _u2000)), hAPP(_u2000, c_Inductive_Ocomplete__lattice__class_Olfp(_u1999, _u2000)))) )).
% 12.21/12.44 cnf(matrix-1634, plain, ( ~class_Groups_Oab__group__add(_u2001) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2002), _u2003) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2004), _u2005)) | ( _u2002 != _u2003) | ( _u2004 = _u2005) )).
% 12.21/12.44 cnf(matrix-1635, plain, ( ~class_Groups_Oab__group__add(_u2001) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2002), _u2003) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), _u2004), _u2005)) | ( _u2004 != _u2005) | ( _u2002 = _u2003) )).
% 12.21/12.44 cnf(matrix-1636, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2006) | ( _u2007 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2006, _u2008)) | ~c_Orderings_Oorder__class_Omono(_u2006, _u2006, _u2008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2006), hAPP(_u2008, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2006), _u2007), _u2009))), _u2009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2006), _u2007), _u2009)) )).
% 12.21/12.44 cnf(matrix-1637, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2011), _u2012), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2011, tc_HOL_Obool), _u2013))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2011, tc_HOL_Obool), tc_fun(_u2011, tc_HOL_Obool), _u2013) | hBOOL(hAPP(_u2014, _u2012)) | hBOOL(hAPP(hAPP(c_member(_u2011), skolem27(_u2014, _u2013, _u2012, _u2011)), hAPP(_u2013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2011, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2011, tc_HOL_Obool), _u2013)), hAPP(c_Set_OCollect(_u2011), _u2014))))) )).
% 12.21/12.44 cnf(matrix-1638, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2011), _u2012), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2011, tc_HOL_Obool), _u2013))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2011, tc_HOL_Obool), tc_fun(_u2011, tc_HOL_Obool), _u2013) | hBOOL(hAPP(_u2014, _u2012)) | ~hBOOL(hAPP(_u2014, skolem27(_u2014, _u2013, _u2012, _u2011))) )).
% 12.21/12.44 cnf(matrix-1639, plain, ( ( _u2016 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2017, tc_HOL_Obool), _u2018)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2017, tc_HOL_Obool), tc_fun(_u2017, tc_HOL_Obool), _u2018) | ~hBOOL(hAPP(hAPP(c_member(_u2017), _u2019), _u2016)) | hBOOL(hAPP(_u2020, _u2019)) | hBOOL(hAPP(hAPP(c_member(_u2017), skolem28(_u2020, _u2019, _u2018, _u2017, _u2016)), hAPP(_u2018, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2017, tc_HOL_Obool)), _u2016), hAPP(c_Set_OCollect(_u2017), _u2020))))) )).
% 12.21/12.44 cnf(matrix-1640, plain, ( ( _u2016 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2017, tc_HOL_Obool), _u2018)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2017, tc_HOL_Obool), tc_fun(_u2017, tc_HOL_Obool), _u2018) | ~hBOOL(hAPP(hAPP(c_member(_u2017), _u2019), _u2016)) | hBOOL(hAPP(_u2020, _u2019)) | ~hBOOL(hAPP(_u2020, skolem28(_u2020, _u2019, _u2018, _u2017, _u2016))) )).
% 12.21/12.44 cnf(matrix-1641, plain, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( _u2040 = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), _u2040)) )).
% 12.21/12.44 cnf(matrix-1642, plain, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( _u2040 = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = hAPP(hAPP(_u2036, skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032))) )).
% 12.21/12.44 cnf(matrix-1643, plain, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( _u2040 = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2032, tc_HOL_Obool)), _u2040), hAPP(hAPP(c_Set_Oinsert(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool)))), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)) )).
% 12.21/12.44 cnf(matrix-1644, plain, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = _u2038) | hBOOL(hAPP(hAPP(c_member(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), _u2040)) )).
% 12.21/12.44 cnf(matrix-1645, plain, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = _u2038) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = hAPP(hAPP(_u2036, skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032))) )).
% 12.21/12.44 cnf(matrix-1646, plain, ( ~c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, _u2040, hAPP(hAPP(_u2036, _u2042), _u2044)) | ( hAPP(hAPP(_u2036, _u2042), _u2044) = _u2038) | c_Nitpick_Ofold__graph_H(_u2032, _u2034, _u2036, _u2038, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2032, tc_HOL_Obool)), _u2040), hAPP(hAPP(c_Set_Oinsert(_u2032), skolem29(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)), c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool)))), skolem30(_u2044, _u2042, _u2040, _u2038, _u2036, _u2034, _u2032)) )).
% 12.21/12.44 cnf(matrix-1647, plain, ( c_Nitpick_Ofold__graph_H(_u2033, _u2035, _u2037, _u2039, _u2041, hAPP(hAPP(_u2037, _u2043), _u2045)) | ( _u2041 != c_Orderings_Obot__class_Obot(tc_fun(_u2033, tc_HOL_Obool))) | ( hAPP(hAPP(_u2037, _u2043), _u2045) != _u2039) )).
% 12.21/12.44 cnf(matrix-1648, plain, ( c_Nitpick_Ofold__graph_H(_u2033, _u2035, _u2037, _u2039, _u2041, hAPP(hAPP(_u2037, _u2043), _u2045)) | ~hBOOL(hAPP(hAPP(c_member(_u2033), _u2024), _u2041)) | ( hAPP(hAPP(_u2037, _u2043), _u2045) != hAPP(hAPP(_u2037, _u2024), _u2023)) | ~c_Nitpick_Ofold__graph_H(_u2033, _u2035, _u2037, _u2039, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2033, tc_HOL_Obool)), _u2041), hAPP(hAPP(c_Set_Oinsert(_u2033), _u2024), c_Orderings_Obot__class_Obot(tc_fun(_u2033, tc_HOL_Obool)))), _u2023) )).
% 12.21/12.44 cnf(matrix-1649, plain, ( ~class_Orderings_Oorder(_u2046) | ~class_Enum_Oenum(_u2047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2047, _u2046)), _u2048), _u2049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2047, _u2046)), _u2048), _u2049)) )).
% 12.21/12.44 cnf(matrix-1650, plain, ( ~class_Orderings_Oorder(_u2046) | ~class_Enum_Oenum(_u2047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2047, _u2046)), _u2048), _u2049)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2047), c_fNot), hAPP(hAPP(c_COMBS(_u2047, _u2046, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2046, tc_fun(_u2046, tc_HOL_Obool), _u2047), c_fequal), _u2048)), _u2049)))) )).
% 12.21/12.44 cnf(matrix-1651, plain, ( ~class_Orderings_Oorder(_u2046) | ~class_Enum_Oenum(_u2047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2047, _u2046)), _u2048), _u2049)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2047), c_fNot), hAPP(hAPP(c_COMBS(_u2047, _u2046, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2046, tc_fun(_u2046, tc_HOL_Obool), _u2047), c_fequal), _u2048)), _u2049)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2047, _u2046)), _u2048), _u2049)) )).
% 12.21/12.44 cnf(matrix-1652, plain, ( ~c_Fun_Oinj__on(_u2055, _u2057, _u2059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063)) | c_Fun_Oinj__on(_u2055, _u2057, _u2059, _u2061) )).
% 12.21/12.44 cnf(matrix-1653, plain, ( ~c_Fun_Oinj__on(_u2055, _u2057, _u2059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063)) | c_Fun_Oinj__on(_u2055, _u2057, _u2059, _u2063) )).
% 12.21/12.44 cnf(matrix-1654, plain, ( ~c_Fun_Oinj__on(_u2055, _u2057, _u2059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2057, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2055, _u2057, _u2059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2055, tc_HOL_Obool)), _u2061), _u2063))), hAPP(c_Set_Oimage(_u2055, _u2057, _u2059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2055, tc_HOL_Obool)), _u2063), _u2061))) = c_Orderings_Obot__class_Obot(tc_fun(_u2057, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1655, plain, ( ~c_Fun_Oinj__on(_u2056, _u2058, _u2060, _u2062) | ~c_Fun_Oinj__on(_u2056, _u2058, _u2060, _u2064) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2058, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2056, _u2058, _u2060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2056, tc_HOL_Obool)), _u2062), _u2064))), hAPP(c_Set_Oimage(_u2056, _u2058, _u2060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2056, tc_HOL_Obool)), _u2064), _u2062))) != c_Orderings_Obot__class_Obot(tc_fun(_u2058, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2056, _u2058, _u2060, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2056, tc_HOL_Obool)), _u2062), _u2064)) )).
% 12.21/12.44 cnf(matrix-1656, plain, ( ~c_Fun_Oinj__on(_u2070, _u2072, _u2074, hAPP(hAPP(c_Set_Oinsert(_u2070), _u2076), _u2078)) | c_Fun_Oinj__on(_u2070, _u2072, _u2074, _u2078) )).
% 12.21/12.44 cnf(matrix-1657, plain, ( ~c_Fun_Oinj__on(_u2070, _u2072, _u2074, hAPP(hAPP(c_Set_Oinsert(_u2070), _u2076), _u2078)) | ~hBOOL(hAPP(hAPP(c_member(_u2072), hAPP(_u2074, _u2076)), hAPP(c_Set_Oimage(_u2070, _u2072, _u2074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2070, tc_HOL_Obool)), _u2078), hAPP(hAPP(c_Set_Oinsert(_u2070), _u2076), c_Orderings_Obot__class_Obot(tc_fun(_u2070, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-1658, plain, ( ~c_Fun_Oinj__on(_u2071, _u2073, _u2075, _u2079) | hBOOL(hAPP(hAPP(c_member(_u2073), hAPP(_u2075, _u2077)), hAPP(c_Set_Oimage(_u2071, _u2073, _u2075), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2071, tc_HOL_Obool)), _u2079), hAPP(hAPP(c_Set_Oinsert(_u2071), _u2077), c_Orderings_Obot__class_Obot(tc_fun(_u2071, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u2071, _u2073, _u2075, hAPP(hAPP(c_Set_Oinsert(_u2071), _u2077), _u2079)) )).
% 12.21/12.44 cnf(matrix-1659, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u2080, _u2081, _u2082, _u2083), _u2084) = c_HOL_OThe(_u2080, hAPP(hAPP(c_COMBS(_u2080, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2080), c_fconj), hAPP(hAPP(c_COMBC(_u2080, tc_fun(_u2080, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2080)), _u2082))), hAPP(hAPP(c_COMBC(_u2080, _u2081, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2081, tc_fun(_u2081, tc_HOL_Obool), _u2080), c_fequal), _u2083)), _u2084)))) )).
% 12.21/12.44 cnf(matrix-1660, plain, ( ~c_Partial__Function_Omk__less(_u2089, _u2091, _u2093, _u2095) | hBOOL(hAPP(hAPP(_u2091, _u2093), _u2095)) )).
% 12.21/12.44 cnf(matrix-1661, plain, ( ~c_Partial__Function_Omk__less(_u2089, _u2091, _u2093, _u2095) | ~hBOOL(hAPP(hAPP(_u2091, _u2095), _u2093)) )).
% 12.21/12.44 cnf(matrix-1662, plain, ( ~hBOOL(hAPP(hAPP(_u2092, _u2094), _u2096)) | hBOOL(hAPP(hAPP(_u2092, _u2096), _u2094)) | c_Partial__Function_Omk__less(_u2090, _u2092, _u2094, _u2096) )).
% 12.21/12.44 cnf(matrix-1663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2098, tc_HOL_Obool)), _u2099), _u2100)) | hBOOL(hAPP(hAPP(c_member(_u2098), skolem31(_u2100, _u2099, _u2098)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2098, tc_HOL_Obool)), _u2100), _u2099))) )).
% 12.21/12.44 cnf(matrix-1664, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2107), _u2109), _u2111)) | ( hAPP(c_Fun_Ooverride__on(_u2107, _u2113, _u2115, _u2117, _u2111), _u2109) = hAPP(_u2117, _u2109)) )).
% 12.21/12.44 cnf(matrix-1665, plain, ( hBOOL(hAPP(hAPP(c_member(_u2108), _u2110), _u2112)) | ( hAPP(c_Fun_Ooverride__on(_u2108, _u2114, _u2116, _u2118, _u2112), _u2110) = hAPP(_u2116, _u2110)) )).
% 12.21/12.44 cnf(matrix-1666, plain, ( c_Fun_Oinj__on(_u2119, _u2120, _u2121, c_Orderings_Obot__class_Obot(tc_fun(_u2119, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1667, plain, ( c_Fun_Oinj__on(_u2122, _u2122, c_COMBI(_u2122), _u2123) )).
% 12.21/12.44 cnf(matrix-1668, plain, ( ~c_Fun_Oinj__on(_u2132, _u2134, _u2136, _u2138) | ~hBOOL(hAPP(hAPP(c_member(_u2132), _u2125), _u2138)) | ~hBOOL(hAPP(hAPP(c_member(_u2132), _u2124), _u2138)) | ( hAPP(_u2136, _u2125) != hAPP(_u2136, _u2124)) | ( _u2125 = _u2124) )).
% 12.21/12.44 cnf(matrix-1669, plain, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | hBOOL(hAPP(hAPP(c_member(_u2133), skolem32(_u2139, _u2137, _u2135, _u2133)), _u2139)) )).
% 12.21/12.44 cnf(matrix-1670, plain, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | hBOOL(hAPP(hAPP(c_member(_u2133), skolem33(_u2139, _u2137, _u2135, _u2133)), _u2139)) )).
% 12.21/12.44 cnf(matrix-1671, plain, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | ( hAPP(_u2137, skolem32(_u2139, _u2137, _u2135, _u2133)) = hAPP(_u2137, skolem33(_u2139, _u2137, _u2135, _u2133))) )).
% 12.21/12.44 cnf(matrix-1672, plain, ( c_Fun_Oinj__on(_u2133, _u2135, _u2137, _u2139) | ( skolem32(_u2139, _u2137, _u2135, _u2133) != skolem33(_u2139, _u2137, _u2135, _u2133)) )).
% 12.21/12.44 cnf(matrix-1673, plain, ( ~c_Fun_Oinj__on(_u2140, _u2141, _u2142, _u2143) | ( hAPP(_u2142, _u2144) != _u2145) | ~hBOOL(hAPP(hAPP(c_member(_u2140), _u2144), _u2143)) | ( hAPP(c_Fun_Othe__inv__into(_u2140, _u2141, _u2143, _u2142), _u2145) = _u2144) )).
% 12.21/12.44 cnf(matrix-1674, plain, ( ~c_Fun_Oinj__on(_u2146, _u2147, _u2148, _u2149) | ~hBOOL(hAPP(hAPP(c_member(_u2146), _u2150), _u2149)) | ( hAPP(c_Fun_Othe__inv__into(_u2146, _u2147, _u2149, _u2148), hAPP(_u2148, _u2150)) = _u2150) )).
% 12.21/12.44 cnf(matrix-1675, plain, ( ~class_Enum_Oenum(_u2153) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2153), _u2154)) | hBOOL(hAPP(_u2154, skolem34(_u2154, _u2153))) )).
% 12.21/12.44 cnf(matrix-1676, plain, ( ~class_Enum_Oenum(_u2153) | ~hBOOL(hAPP(_u2154, _u2152)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2153), _u2154)) )).
% 12.21/12.44 cnf(matrix-1677, plain, ( ~class_Enum_Oenum(_u2157) | ~hBOOL(hAPP(_u2158, _u2155)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2157), _u2158)) )).
% 12.21/12.44 cnf(matrix-1678, plain, ( ~class_Enum_Oenum(_u2157) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2157), _u2158)) | hBOOL(hAPP(_u2158, skolem35(_u2158, _u2157))) )).
% 12.21/12.44 cnf(matrix-1679, plain, ( ~c_Fun_Oinj__on(_u2159, _u2160, _u2161, _u2162) | ( hAPP(c_Set_Oimage(_u2160, _u2159, c_Fun_Othe__inv__into(_u2159, _u2160, _u2162, _u2161)), hAPP(c_Set_Oimage(_u2159, _u2160, _u2161), _u2162)) = _u2162) )).
% 12.21/12.44 cnf(matrix-1680, plain, ( ~c_Fun_Oinj__on(_u2163, _u2164, _u2165, _u2166) | c_Fun_Oinj__on(_u2164, _u2163, c_Fun_Othe__inv__into(_u2163, _u2164, _u2166, _u2165), hAPP(c_Set_Oimage(_u2163, _u2164, _u2165), _u2166)) )).
% 12.21/12.44 cnf(matrix-1681, plain, ( ~c_Fun_Oinj__on(_u2167, _u2168, _u2169, _u2170) | ( _u2171 = _u2172) | ~hBOOL(hAPP(hAPP(c_member(_u2167), _u2171), _u2170)) | ~hBOOL(hAPP(hAPP(c_member(_u2167), _u2172), _u2170)) | ( hAPP(_u2169, _u2171) != hAPP(_u2169, _u2172)) )).
% 12.21/12.44 cnf(matrix-1682, plain, ( ~c_Fun_Oinj__on(_u2173, _u2174, _u2175, _u2176) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2177), _u2176)) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2178), _u2176)) | ( hAPP(_u2175, _u2177) != hAPP(_u2175, _u2178)) | ( _u2177 = _u2178) )).
% 12.21/12.44 cnf(matrix-1683, plain, ( ~c_Fun_Oinj__on(_u2173, _u2174, _u2175, _u2176) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2177), _u2176)) | ~hBOOL(hAPP(hAPP(c_member(_u2173), _u2178), _u2176)) | ( _u2177 != _u2178) | ( hAPP(_u2175, _u2177) = hAPP(_u2175, _u2178)) )).
% 12.21/12.44 cnf(matrix-1684, plain, ( ~c_Fun_Oinj__on(_u2179, _u2180, _u2181, _u2182) | ( hAPP(_u2181, _u2183) != hAPP(_u2181, _u2184)) | ~hBOOL(hAPP(hAPP(c_member(_u2179), _u2183), _u2182)) | ~hBOOL(hAPP(hAPP(c_member(_u2179), _u2184), _u2182)) | ( _u2183 = _u2184) )).
% 12.21/12.44 cnf(matrix-1685, plain, ( ~c_Fun_Oinj__on(_u2185, _u2186, _u2187, _u2188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2185, tc_HOL_Obool)), _u2189), _u2188)) | c_Fun_Oinj__on(_u2185, _u2186, _u2187, _u2189) )).
% 12.21/12.44 cnf(matrix-1686, plain, ( ~c_Fun_Oinj__on(_u2190, _u2191, _u2192, _u2193) | ~c_Fun_Oinj__on(_u2190, _u2191, _u2192, _u2194) | c_Fun_Oinj__on(_u2190, _u2191, _u2192, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2190, tc_HOL_Obool)), _u2193), _u2194)) )).
% 12.21/12.44 cnf(matrix-1687, plain, ( ~c_Fun_Oinj__on(_u2195, _u2196, _u2197, _u2198) | c_Fun_Oinj__on(_u2195, _u2196, _u2197, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2195, tc_HOL_Obool)), _u2198), _u2199)) )).
% 12.21/12.44 cnf(matrix-1688, plain, ( ~c_Fun_Oinj__on(_u2200, _u2201, _u2202, _u2203) | ~hBOOL(hAPP(hAPP(c_member(_u2201), _u2204), hAPP(c_Set_Oimage(_u2200, _u2201, _u2202), _u2203))) | ( hAPP(_u2202, hAPP(c_Fun_Othe__inv__into(_u2200, _u2201, _u2203, _u2202), _u2204)) = _u2204) )).
% 12.21/12.44 cnf(matrix-1689, plain, ( ~class_Orderings_Oorder(_u2205) | ~class_Orderings_Olinorder(_u2206) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2206, _u2205, _u2207) | c_Fun_Oinj__on(_u2206, _u2205, _u2207, _u2208) )).
% 12.21/12.44 cnf(matrix-1690, plain, ( ~c_Fun_Oinj__on(_u2209, _u2210, _u2211, _u2212) | ~hBOOL(hAPP(hAPP(c_member(_u2210), _u2213), hAPP(c_Set_Oimage(_u2209, _u2210, _u2211), _u2212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2209, tc_HOL_Obool)), _u2212), _u2214)) | hBOOL(hAPP(hAPP(c_member(_u2209), hAPP(c_Fun_Othe__inv__into(_u2209, _u2210, _u2212, _u2211), _u2213)), _u2214)) )).
% 12.21/12.44 cnf(matrix-1691, plain, ( ~c_Fun_Oinj__on(_u2215, _u2216, _u2217, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), _u2218), _u2219)) | ( hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2218) != hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2219)) | ( _u2218 = _u2219) )).
% 12.21/12.44 cnf(matrix-1692, plain, ( ~c_Fun_Oinj__on(_u2215, _u2216, _u2217, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2215, tc_HOL_Obool)), _u2218), _u2219)) | ( _u2218 != _u2219) | ( hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2218) = hAPP(c_Set_Oimage(_u2215, _u2216, _u2217), _u2219)) )).
% 12.21/12.44 cnf(matrix-1693, plain, ( ~c_Fun_Oinj__on(_u2220, _u2221, _u2222, _u2223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2220, tc_HOL_Obool)), _u2224), _u2223)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2221, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2220, _u2221, _u2222), _u2224)), hAPP(c_Set_Oimage(_u2220, _u2221, _u2222), _u2223))) )).
% 12.21/12.44 cnf(matrix-1694, plain, ( ~c_Fun_Oinj__on(_u2225, _u2226, _u2227, _u2228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2225, tc_HOL_Obool)), _u2229), _u2228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2225, tc_HOL_Obool)), _u2230), _u2228)) | ( hAPP(c_Set_Oimage(_u2225, _u2226, _u2227), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2225, tc_HOL_Obool)), _u2229), _u2230)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2226, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2225, _u2226, _u2227), _u2229)), hAPP(c_Set_Oimage(_u2225, _u2226, _u2227), _u2230))) )).
% 12.21/12.44 cnf(matrix-1695, plain, ( ~c_Fun_Oinj__on(_u2231, _u2232, _u2233, _u2234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2231, tc_HOL_Obool)), _u2235), _u2234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2231, tc_HOL_Obool)), _u2236), _u2234)) | ( hAPP(c_Set_Oimage(_u2231, _u2232, _u2233), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2231, tc_HOL_Obool)), _u2235), _u2236)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2232, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2231, _u2232, _u2233), _u2235)), hAPP(c_Set_Oimage(_u2231, _u2232, _u2233), _u2236))) )).
% 12.21/12.44 cnf(matrix-1696, plain, ( ~c_Fun_Oinj__on(_u2237, _u2238, _u2239, _u2240) | hBOOL(hAPP(hAPP(c_member(_u2238), _u2241), hAPP(c_Set_Oimage(_u2237, _u2238, _u2239), _u2240))) | c_Fun_Oinj__on(_u2237, _u2238, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2237, _u2238), _u2239), _u2242), _u2241), _u2240) )).
% 12.21/12.44 cnf(matrix-1697, plain, ( hBOOL(hAPP(hAPP(c_member(_u2243), _u2244), _u2245)) | ( hAPP(c_Fun_Ooverride__on(_u2243, _u2246, _u2247, _u2248, _u2245), _u2244) = hAPP(_u2247, _u2244)) )).
% 12.21/12.44 cnf(matrix-1698, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2249), _u2250), _u2251)) | ( hAPP(c_Fun_Ooverride__on(_u2249, _u2252, _u2253, _u2254, _u2251), _u2250) = hAPP(_u2254, _u2250)) )).
% 12.21/12.44 cnf(matrix-1699, plain, ( ( c_Fun_Ooverride__on(_u2255, _u2256, _u2257, _u2258, c_Orderings_Obot__class_Obot(tc_fun(_u2255, tc_HOL_Obool))) = _u2257) )).
% 12.21/12.44 cnf(matrix-1700, plain, ( ( _u2263 = c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2264, _u2265, _u2259, _u2263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2264, _u2265, _u2259), _u2263)), _u2266)) | ( hAPP(c_Set_Oimage(_u2265, _u2264, skolem36(_u2266, _u2265, _u2264, _u2263)), _u2266) = _u2263) )).
% 12.21/12.44 cnf(matrix-1701, plain, ( ( _u2263 = c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2265, _u2264, _u2261), _u2266) != _u2263) | c_Fun_Oinj__on(_u2264, _u2265, skolem37(_u2266, _u2265, _u2264, _u2263), _u2263) )).
% 12.21/12.44 cnf(matrix-1702, plain, ( ( _u2263 = c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2265, _u2264, _u2261), _u2266) != _u2263) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2264, _u2265, skolem37(_u2266, _u2265, _u2264, _u2263)), _u2263)), _u2266)) )).
% 12.21/12.44 cnf(matrix-1703, plain, ( ( c_Map_Odom(_u2267, _u2268, c_Fun_Ooverride__on(_u2267, tc_Option_Ooption(_u2268), _u2269, _u2270, _u2271)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2267, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2267, tc_HOL_Obool)), c_Map_Odom(_u2267, _u2268, _u2269)), hAPP(c_Set_OCollect(_u2267), hAPP(hAPP(c_COMBC(_u2267, tc_fun(_u2267, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2267)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2267, tc_HOL_Obool)), _u2271), c_Map_Odom(_u2267, _u2268, _u2270)))))), hAPP(c_Set_OCollect(_u2267), hAPP(hAPP(c_COMBC(_u2267, tc_fun(_u2267, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2267)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2267, tc_HOL_Obool)), _u2271), c_Map_Odom(_u2267, _u2268, _u2270)))))) )).
% 12.21/12.44 cnf(matrix-1704, plain, ( ~c_Fun_Oinj__on(_u2272, _u2273, _u2274, hAPP(c_Set_Oimage(_u2275, _u2272, _u2276), _u2277)) | ~c_Fun_Oinj__on(_u2275, _u2272, _u2276, _u2277) | ~hBOOL(hAPP(hAPP(c_member(_u2273), _u2278), hAPP(c_Set_Oimage(_u2272, _u2273, _u2274), hAPP(c_Set_Oimage(_u2275, _u2272, _u2276), _u2277)))) | ( hAPP(c_Fun_Othe__inv__into(_u2275, _u2273, _u2277, hAPP(c_Fun_Ocomp(_u2272, _u2273, _u2275, _u2274), _u2276)), _u2278) = hAPP(hAPP(c_Fun_Ocomp(_u2272, _u2275, _u2273, c_Fun_Othe__inv__into(_u2275, _u2272, _u2277, _u2276)), c_Fun_Othe__inv__into(_u2272, _u2273, hAPP(c_Set_Oimage(_u2275, _u2272, _u2276), _u2277), _u2274)), _u2278)) )).
% 12.21/12.44 cnf(matrix-1705, plain, ( ~c_Fun_Oinj__on(_u2279, tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2279, tc_fun(tc_prod(_u2279, _u2279), tc_HOL_Obool), tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2279, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u2279, _u2279), tc_HOL_Obool), tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool)), _u2279), c_Equiv__Relations_Oquotient(_u2279)), hAPP(hAPP(c_COMBC(_u2279, tc_fun(_u2279, tc_HOL_Obool), tc_fun(_u2279, tc_HOL_Obool)), c_Set_Oinsert(_u2279)), c_Orderings_Obot__class_Obot(tc_fun(_u2279, tc_HOL_Obool))))), _u2280), _u2281) | ~hBOOL(hAPP(hAPP(c_member(_u2279), _u2282), _u2281)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2279), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2279, tc_HOL_Obool)), _u2281), hAPP(hAPP(c_Set_Oinsert(_u2279), _u2282), c_Orderings_Obot__class_Obot(tc_fun(_u2279, tc_HOL_Obool))))), _u2280) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u2279, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2279), _u2281), _u2280)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2279), hAPP(hAPP(c_Set_Oinsert(_u2279), _u2282), c_Orderings_Obot__class_Obot(tc_fun(_u2279, tc_HOL_Obool)))), _u2280))) )).
% 12.21/12.44 cnf(matrix-1706, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u2283, tc_fun(_u2283, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2283, tc_HOL_Obool), tc_fun(tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool)), _u2283), hAPP(c_COMBC(tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u2283, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u2283, tc_fun(_u2283, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool)), c_Set_Oinsert(_u2283)), c_Orderings_Obot__class_Obot(tc_fun(_u2283, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1707, plain, ( ~class_Lattices_Olattice(_u2284) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2284), _u2285), _u2285) = _u2285) )).
% 12.21/12.44 cnf(matrix-1708, plain, ( ~class_Lattices_Olattice(_u2286) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2286), _u2287), _u2287) = _u2287) )).
% 12.21/12.44 cnf(matrix-1709, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2288), _u2289), _u2290)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2288, tc_Option_Ooption(_u2291)), c_Map_Orestrict__map(_u2288, _u2291, _u2292, _u2290)), _u2289), _u2293) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2288, tc_Option_Ooption(_u2291)), c_Map_Orestrict__map(_u2288, _u2291, _u2292, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2288, tc_HOL_Obool)), _u2290), hAPP(hAPP(c_Set_Oinsert(_u2288), _u2289), c_Orderings_Obot__class_Obot(tc_fun(_u2288, tc_HOL_Obool)))))), _u2289), _u2293)) )).
% 12.21/12.44 cnf(matrix-1710, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2300), _u2302), _u2304)) | ( c_Map_Orestrict__map(_u2300, _u2306, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2300, tc_Option_Ooption(_u2306)), _u2308), _u2302), _u2310), _u2304) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2300, tc_Option_Ooption(_u2306)), c_Map_Orestrict__map(_u2300, _u2306, _u2308, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2300, tc_HOL_Obool)), _u2304), hAPP(hAPP(c_Set_Oinsert(_u2300), _u2302), c_Orderings_Obot__class_Obot(tc_fun(_u2300, tc_HOL_Obool)))))), _u2302), _u2310)) )).
% 12.21/12.44 cnf(matrix-1711, plain, ( hBOOL(hAPP(hAPP(c_member(_u2301), _u2303), _u2305)) | ( c_Map_Orestrict__map(_u2301, _u2307, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2301, tc_Option_Ooption(_u2307)), _u2309), _u2303), _u2311), _u2305) = c_Map_Orestrict__map(_u2301, _u2307, _u2309, _u2305)) )).
% 12.21/12.44 cnf(matrix-1712, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2315)) | hBOOL(hAPP(hAPP(c_member(_u2313), skolem38(_u2315, _u2314, _u2313)), _u2314)) )).
% 12.21/12.44 cnf(matrix-1713, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2315)) | ~hBOOL(hAPP(hAPP(c_member(_u2313), skolem38(_u2315, _u2314, _u2313)), _u2315)) )).
% 12.21/12.44 cnf(matrix-1714, plain, ( ( hAPP(c_Fun_Ocomp(_u2316, _u2317, _u2318, _u2319), hAPP(c_Fun_Ocomp(_u2320, _u2316, _u2318, _u2321), _u2322)) = hAPP(c_Fun_Ocomp(_u2320, _u2317, _u2318, hAPP(c_Fun_Ocomp(_u2316, _u2317, _u2320, _u2319), _u2321)), _u2322)) )).
% 12.21/12.44 cnf(matrix-1715, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u2323, _u2324, _u2325, _u2326), _u2327), _u2328) = hAPP(_u2326, hAPP(_u2327, _u2328))) )).
% 12.21/12.44 cnf(matrix-1716, plain, ( ( hAPP(_u2332, hAPP(_u2333, _u2337)) = hAPP(_u2335, hAPP(_u2336, _u2337))) | ( hAPP(c_Fun_Ocomp(_u2329, _u2330, _u2331, _u2332), _u2333) != hAPP(c_Fun_Ocomp(_u2334, _u2330, _u2331, _u2335), _u2336)) )).
% 12.21/12.44 cnf(matrix-1717, plain, ( ( hAPP(_u2342, hAPP(_u2343, _u2338)) = hAPP(_u2345, hAPP(_u2346, _u2338))) | ( hAPP(c_Fun_Ocomp(_u2339, _u2340, _u2341, _u2342), _u2343) != hAPP(c_Fun_Ocomp(_u2344, _u2340, _u2341, _u2345), _u2346)) )).
% 12.21/12.44 cnf(matrix-1718, plain, ( ( hAPP(hAPP(_u2349, _u2350), hAPP(hAPP(_u2349, _u2350), _u2351)) = hAPP(hAPP(_u2349, _u2350), _u2351)) | ~c_Finite__Set_Ofun__left__comm__idem(_u2347, _u2348, _u2349) )).
% 12.21/12.44 cnf(matrix-1719, plain, ( ( hAPP(c_Fun_Ocomp(_u2353, _u2353, _u2353, hAPP(_u2354, _u2355)), hAPP(_u2354, _u2355)) = hAPP(_u2354, _u2355)) | ~c_Finite__Set_Ofun__left__comm__idem(_u2352, _u2353, _u2354) )).
% 12.21/12.44 cnf(matrix-1720, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u2356, _u2357, _u2358) | c_Finite__Set_Ofun__left__comm__idem(_u2359, _u2357, hAPP(hAPP(c_COMBB(_u2356, tc_fun(_u2357, _u2357), _u2359), _u2358), _u2360)) )).
% 12.21/12.44 cnf(matrix-1721, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u2361, _u2362, _u2363, _u2364), _u2365), _u2366) = hAPP(_u2364, hAPP(_u2365, _u2366))) )).
% 12.21/12.44 cnf(matrix-1722, plain, ( ( c_Map_Odom(_u2367, _u2368, c_Map_Orestrict__map(_u2367, _u2368, _u2369, _u2370)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2367, tc_HOL_Obool)), c_Map_Odom(_u2367, _u2368, _u2369)), _u2370)) )).
% 12.21/12.44 cnf(matrix-1723, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2371), _u2372), _u2373)) | ( hAPP(c_Map_Orestrict__map(_u2371, _u2374, _u2375, _u2373), _u2372) = hAPP(_u2375, _u2372)) )).
% 12.21/12.44 cnf(matrix-1724, plain, ( ( c_Map_Orestrict__map(_u2376, _u2377, _u2378, hAPP(hAPP(c_Set_Oinsert(_u2376), _u2379), _u2380)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2376, tc_Option_Ooption(_u2377)), c_Map_Orestrict__map(_u2376, _u2377, _u2378, _u2380)), _u2379), hAPP(_u2378, _u2379))) )).
% 12.21/12.44 cnf(matrix-1725, plain, ( ( c_Map_Orestrict__map(_u2381, _u2382, c_Map_Orestrict__map(_u2381, _u2382, _u2383, _u2384), _u2385) = c_Map_Orestrict__map(_u2381, _u2382, _u2383, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2381, tc_HOL_Obool)), _u2384), _u2385))) )).
% 12.21/12.44 cnf(matrix-1726, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u2386, tc_fun(_u2386, tc_HOL_Obool), c_Set_Oinsert(_u2386)) )).
% 12.21/12.44 cnf(matrix-1727, plain, ( ~class_Lattices_Osemilattice__sup(_u2387) | c_Finite__Set_Ofun__left__comm__idem(_u2387, _u2387, c_Lattices_Osemilattice__sup__class_Osup(_u2387)) )).
% 12.21/12.44 cnf(matrix-1728, plain, ( ~class_Lattices_Osemilattice__inf(_u2388) | c_Finite__Set_Ofun__left__comm__idem(_u2388, _u2388, c_Lattices_Osemilattice__inf__class_Oinf(_u2388)) )).
% 12.21/12.44 cnf(matrix-1729, plain, ( ( hAPP(c_Set_Oimage(_u2389, _u2390, hAPP(c_Fun_Ocomp(_u2391, _u2390, _u2389, _u2392), _u2393)), _u2394) = hAPP(c_Set_Oimage(_u2391, _u2390, _u2392), hAPP(c_Set_Oimage(_u2389, _u2391, _u2393), _u2394))) )).
% 12.21/12.44 cnf(matrix-1730, plain, ( ~c_Fun_Oinj__on(_u2395, _u2396, hAPP(c_Fun_Ocomp(_u2397, _u2396, _u2395, _u2398), _u2399), _u2400) | c_Fun_Oinj__on(_u2395, _u2397, _u2399, _u2400) )).
% 12.21/12.44 cnf(matrix-1731, plain, ( ( hAPP(c_Fun_Ocomp(_u2401, _u2402, _u2403, _u2404), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2403, _u2401), _u2405), _u2406), _u2407)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2403, _u2402), hAPP(c_Fun_Ocomp(_u2401, _u2402, _u2403, _u2404), _u2405)), _u2406), hAPP(_u2404, _u2407))) )).
% 12.21/12.44 cnf(matrix-1732, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2408), c_Orderings_Obot__class_Obot(tc_fun(_u2408, tc_HOL_Obool))), _u2409) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2408, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1733, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2413, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2413), _u2415), _u2417)) | ( _u2415 = c_Orderings_Obot__class_Obot(tc_fun(_u2413, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1734, plain, ( ( _u2416 != c_Orderings_Obot__class_Obot(tc_fun(_u2414, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2414, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2414), _u2416), _u2418)) )).
% 12.21/12.44 cnf(matrix-1735, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2422), _u2424), _u2426) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2422, tc_HOL_Obool), tc_HOL_Obool))) | ( _u2424 = c_Orderings_Obot__class_Obot(tc_fun(_u2422, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1736, plain, ( ( _u2425 != c_Orderings_Obot__class_Obot(tc_fun(_u2423, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2423), _u2425), _u2427) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2423, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1737, plain, ( ~c_Fun_Oinj__on(_u2428, _u2429, _u2430, _u2431) | ~c_Fun_Oinj__on(_u2429, _u2432, _u2433, hAPP(c_Set_Oimage(_u2428, _u2429, _u2430), _u2431)) | c_Fun_Oinj__on(_u2428, _u2432, hAPP(c_Fun_Ocomp(_u2429, _u2432, _u2428, _u2433), _u2430), _u2431) )).
% 12.21/12.44 cnf(matrix-1738, plain, ( ~c_Fun_Oinj__on(_u2428, _u2429, _u2430, _u2431) | ~c_Fun_Oinj__on(_u2428, _u2432, hAPP(c_Fun_Ocomp(_u2429, _u2432, _u2428, _u2433), _u2430), _u2431) | c_Fun_Oinj__on(_u2429, _u2432, _u2433, hAPP(c_Set_Oimage(_u2428, _u2429, _u2430), _u2431)) )).
% 12.21/12.44 cnf(matrix-1739, plain, ( ~c_Fun_Oinj__on(_u2434, _u2435, _u2436, _u2437) | ~c_Fun_Oinj__on(_u2435, _u2438, _u2439, hAPP(c_Set_Oimage(_u2434, _u2435, _u2436), _u2437)) | c_Fun_Oinj__on(_u2434, _u2438, hAPP(c_Fun_Ocomp(_u2435, _u2438, _u2434, _u2439), _u2436), _u2437) )).
% 12.21/12.44 cnf(matrix-1740, plain, ( ~c_Fun_Oinj__on(_u2440, _u2441, hAPP(c_Fun_Ocomp(_u2442, _u2441, _u2440, _u2443), _u2444), _u2445) | c_Fun_Oinj__on(_u2442, _u2441, _u2443, hAPP(c_Set_Oimage(_u2440, _u2442, _u2444), _u2445)) )).
% 12.21/12.44 cnf(matrix-1741, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2446, tc_Option_Ooption(_u2447)), c_Map_Orestrict__map(_u2446, _u2447, _u2448, _u2449)), _u2450), _u2451) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2446, tc_Option_Ooption(_u2447)), c_Map_Orestrict__map(_u2446, _u2447, _u2448, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2446, tc_HOL_Obool)), _u2449), hAPP(hAPP(c_Set_Oinsert(_u2446), _u2450), c_Orderings_Obot__class_Obot(tc_fun(_u2446, tc_HOL_Obool)))))), _u2450), _u2451)) )).
% 12.21/12.44 cnf(matrix-1742, plain, ( ( c_Map_Odom(_u2452, _u2453, hAPP(hAPP(c_COMBS(_u2452, tc_Option_Ooption(_u2453), tc_Option_Ooption(_u2453)), hAPP(hAPP(c_COMBS(_u2452, tc_Option_Ooption(_u2453), tc_fun(tc_Option_Ooption(_u2453), tc_Option_Ooption(_u2453))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u2453), tc_fun(tc_Option_Ooption(_u2453), tc_Option_Ooption(_u2453))), _u2452), c_If(tc_Option_Ooption(_u2453))), _u2454)), _u2455)), _u2456)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2452, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2452, tc_HOL_Obool)), c_Map_Odom(_u2452, _u2453, _u2455)), hAPP(c_Set_OCollect(_u2452), _u2454))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2452, tc_HOL_Obool)), c_Map_Odom(_u2452, _u2453, _u2456)), hAPP(c_Set_OCollect(_u2452), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2452), c_fNot), _u2454))))) )).
% 12.21/12.44 cnf(matrix-1743, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2462), _u2464), _u2466)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2462, tc_Option_Ooption(_u2468)), c_Map_Orestrict__map(_u2462, _u2468, _u2470, _u2466)), _u2464), c_Option_Ooption_ONone(_u2468)) = c_Map_Orestrict__map(_u2462, _u2468, _u2470, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2462, tc_HOL_Obool)), _u2466), hAPP(hAPP(c_Set_Oinsert(_u2462), _u2464), c_Orderings_Obot__class_Obot(tc_fun(_u2462, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1744, plain, ( hBOOL(hAPP(hAPP(c_member(_u2463), _u2465), _u2467)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2463, tc_Option_Ooption(_u2469)), c_Map_Orestrict__map(_u2463, _u2469, _u2471, _u2467)), _u2465), c_Option_Ooption_ONone(_u2469)) = c_Map_Orestrict__map(_u2463, _u2469, _u2471, _u2467)) )).
% 12.21/12.44 cnf(matrix-1745, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2472), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2473), c_Orderings_Obot__class_Obot(tc_fun(_u2472, tc_HOL_Obool)))), _u2474) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2472, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2472, _u2472, _u2474), hAPP(hAPP(c_Set_Oinsert(_u2472), _u2473), c_Orderings_Obot__class_Obot(tc_fun(_u2472, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2472, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1746, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2475), _u2476), _u2477)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2475, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2475, _u2475, _u2478), hAPP(hAPP(c_Set_Oinsert(_u2475), _u2476), c_Orderings_Obot__class_Obot(tc_fun(_u2475, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2475), _u2477), _u2478))) )).
% 12.21/12.44 cnf(matrix-1747, plain, ( ( _u2484 != c_Option_Ooption_ONone(_u2486)) | ( c_Map_Odom(_u2488, _u2486, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2488, tc_Option_Ooption(_u2486)), _u2490), _u2492), _u2484)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2488, tc_HOL_Obool)), c_Map_Odom(_u2488, _u2486, _u2490)), hAPP(hAPP(c_Set_Oinsert(_u2488), _u2492), c_Orderings_Obot__class_Obot(tc_fun(_u2488, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1748, plain, ( ( _u2485 = c_Option_Ooption_ONone(_u2487)) | ( c_Map_Odom(_u2489, _u2487, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2489, tc_Option_Ooption(_u2487)), _u2491), _u2493), _u2485)) = hAPP(hAPP(c_Set_Oinsert(_u2489), _u2493), c_Map_Odom(_u2489, _u2487, _u2491))) )).
% 12.21/12.44 cnf(matrix-1749, plain, ( ~c_Equiv__Relations_Oequiv(_u2494, _u2495, _u2496) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2494, tc_HOL_Obool)), _u2497), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2494), _u2495), _u2496))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2494, tc_HOL_Obool)), _u2498), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2494), _u2495), _u2496))) | ( _u2497 = _u2498) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2494, tc_HOL_Obool)), _u2497), _u2498) = c_Orderings_Obot__class_Obot(tc_fun(_u2494, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1750, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u2499, _u2500, _u2501, hAPP(c_COMBK(_u2500, _u2499), _u2502)), _u2503), _u2504) = _u2502) )).
% 12.21/12.44 cnf(matrix-1751, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2505, _u2506, _u2507, _u2508, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2505, tc_HOL_Obool)), _u2509), hAPP(hAPP(c_Set_Oinsert(_u2505), _u2510), c_Orderings_Obot__class_Obot(tc_fun(_u2505, tc_HOL_Obool))))), _u2511)) | ~hBOOL(hAPP(hAPP(c_member(_u2505), _u2510), _u2509)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2505, _u2506, _u2507, _u2508, _u2509), hAPP(hAPP(_u2507, _u2510), _u2511))) )).
% 12.21/12.44 cnf(matrix-1752, plain, ( ~c_Fun_Oinj__on(_u2512, _u2513, _u2514, hAPP(c_Set_Oimage(_u2515, _u2512, _u2516), _u2517)) | ~c_Fun_Oinj__on(_u2515, _u2512, _u2516, _u2517) | ~hBOOL(hAPP(hAPP(c_member(_u2513), _u2518), hAPP(c_Set_Oimage(_u2512, _u2513, _u2514), hAPP(c_Set_Oimage(_u2515, _u2512, _u2516), _u2517)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2515, _u2513, _u2517, hAPP(c_Fun_Ocomp(_u2512, _u2513, _u2515, _u2514), _u2516)), _u2518) = hAPP(hAPP(c_Fun_Ocomp(_u2512, _u2515, _u2513, c_Hilbert__Choice_Oinv__into(_u2515, _u2512, _u2517, _u2516)), c_Hilbert__Choice_Oinv__into(_u2512, _u2513, hAPP(c_Set_Oimage(_u2515, _u2512, _u2516), _u2517), _u2514)), _u2518)) )).
% 12.21/12.44 cnf(matrix-1753, plain, ( c_Fun_Oinj__on(_u2519, tc_fun(_u2519, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2519, tc_fun(_u2519, tc_HOL_Obool), tc_fun(_u2519, tc_HOL_Obool)), c_Set_Oinsert(_u2519)), c_Orderings_Obot__class_Obot(tc_fun(_u2519, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u2519, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1754, plain, ( ( _u2528 = _u2530) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2524, _u2526, hAPP(hAPP(c_Set_Oinsert(_u2524), _u2528), c_Orderings_Obot__class_Obot(tc_fun(_u2524, tc_HOL_Obool)))), _u2530)) )).
% 12.21/12.44 cnf(matrix-1755, plain, ( ( _u2529 != _u2531) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2525, _u2527, hAPP(hAPP(c_Set_Oinsert(_u2525), _u2529), c_Orderings_Obot__class_Obot(tc_fun(_u2525, tc_HOL_Obool)))), _u2531)) )).
% 12.21/12.44 cnf(matrix-1756, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2532, tc_HOL_Obool)), _u2533)) )).
% 12.21/12.44 cnf(matrix-1757, plain, ( hBOOL(hAPP(hAPP(c_member(_u2534), _u2535), c_Orderings_Otop__class_Otop(tc_fun(_u2534, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1758, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2536, _u2536, _u2537, _u2538, _u2539), _u2540)) | hBOOL(hAPP(hAPP(c_member(_u2536), _u2538), _u2539)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2536, _u2537, hAPP(hAPP(c_Set_Oinsert(_u2536), _u2538), _u2539)), _u2540)) )).
% 12.21/12.44 cnf(matrix-1759, plain, ( ( hAPP(c_Set_Oimage(_u2546, _u2548, _u2550), c_Orderings_Otop__class_Otop(tc_fun(_u2546, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2548, tc_HOL_Obool))) | ( hAPP(_u2550, hAPP(c_Hilbert__Choice_Oinv__into(_u2546, _u2548, c_Orderings_Otop__class_Otop(tc_fun(_u2546, tc_HOL_Obool)), _u2550), _u2541)) = _u2541) )).
% 12.21/12.44 cnf(matrix-1760, plain, ( ( hAPP(_u2551, hAPP(c_Hilbert__Choice_Oinv__into(_u2547, _u2549, c_Orderings_Otop__class_Otop(tc_fun(_u2547, tc_HOL_Obool)), _u2551), skolem39(_u2551, _u2549, _u2547))) != skolem39(_u2551, _u2549, _u2547)) | ( hAPP(c_Set_Oimage(_u2547, _u2549, _u2551), c_Orderings_Otop__class_Otop(tc_fun(_u2547, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2549, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1761, plain, ( ( hAPP(c_Set_Oimage(_u2552, _u2553, _u2554), c_Orderings_Otop__class_Otop(tc_fun(_u2552, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2553, tc_HOL_Obool))) | ( hAPP(_u2554, hAPP(c_Hilbert__Choice_Oinv__into(_u2552, _u2553, c_Orderings_Otop__class_Otop(tc_fun(_u2552, tc_HOL_Obool)), _u2554), _u2555)) = _u2555) )).
% 12.21/12.44 cnf(matrix-1762, plain, ( ( hAPP(c_Set_Oimage(_u2556, _u2557, _u2558), c_Orderings_Otop__class_Otop(tc_fun(_u2556, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2557, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2556, _u2557, _u2558), hAPP(c_Set_Oimage(_u2557, _u2556, c_Hilbert__Choice_Oinv__into(_u2556, _u2557, c_Orderings_Otop__class_Otop(tc_fun(_u2556, tc_HOL_Obool)), _u2558)), _u2559)) = _u2559) )).
% 12.21/12.44 cnf(matrix-1763, plain, ( ~class_Orderings_Otop(_u2560) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2561, _u2560)), _u2562) = c_Orderings_Otop__class_Otop(_u2560)) )).
% 12.21/12.44 cnf(matrix-1764, plain, ( ~c_Fun_Oinj__on(_u2563, _u2564, _u2565, c_Orderings_Otop__class_Otop(tc_fun(_u2563, tc_HOL_Obool))) | ( hAPP(_u2565, _u2566) != _u2567) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2563, _u2564, c_Orderings_Otop__class_Otop(tc_fun(_u2563, tc_HOL_Obool)), _u2565), _u2567) = _u2566) )).
% 12.21/12.44 cnf(matrix-1765, plain, ( ~c_Fun_Oinj__on(_u2568, _u2569, _u2570, c_Orderings_Otop__class_Otop(tc_fun(_u2568, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2568, _u2569, c_Orderings_Otop__class_Otop(tc_fun(_u2568, tc_HOL_Obool)), _u2570), hAPP(_u2570, _u2571)) = _u2571) )).
% 12.21/12.44 cnf(matrix-1766, plain, ( hBOOL(hAPP(hAPP(c_member(_u2572), _u2573), c_Orderings_Otop__class_Otop(tc_fun(_u2572, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1767, plain, ( ( hAPP(c_Set_OPow(_u2574), c_Orderings_Otop__class_Otop(tc_fun(_u2574, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2574, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1768, plain, ( ( hAPP(c_Set_Oimage(_u2575, _u2576, _u2577), c_Orderings_Otop__class_Otop(tc_fun(_u2575, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2576, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2576, _u2575, c_Hilbert__Choice_Oinv__into(_u2575, _u2576, c_Orderings_Otop__class_Otop(tc_fun(_u2575, tc_HOL_Obool)), _u2577), c_Orderings_Otop__class_Otop(tc_fun(_u2576, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1769, plain, ( ~c_Fun_Oinj__on(_u2578, _u2579, _u2580, c_Orderings_Otop__class_Otop(tc_fun(_u2578, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2579, _u2578, c_Hilbert__Choice_Oinv__into(_u2578, _u2579, c_Orderings_Otop__class_Otop(tc_fun(_u2578, tc_HOL_Obool)), _u2580)), hAPP(c_Set_Oimage(_u2578, _u2579, _u2580), _u2581)) = _u2581) )).
% 12.21/12.44 cnf(matrix-1770, plain, ( ~c_Fun_Oinj__on(_u2582, _u2583, _u2584, c_Orderings_Otop__class_Otop(tc_fun(_u2582, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2583, _u2582, c_Hilbert__Choice_Oinv__into(_u2582, _u2583, c_Orderings_Otop__class_Otop(tc_fun(_u2582, tc_HOL_Obool)), _u2584)), hAPP(c_Set_Oimage(_u2582, _u2583, _u2584), _u2585)) = _u2585) )).
% 12.21/12.44 cnf(matrix-1771, plain, ( ~c_Fun_Oinj__on(_u2586, _u2587, _u2588, c_Orderings_Otop__class_Otop(tc_fun(_u2586, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2587, _u2586, c_Hilbert__Choice_Oinv__into(_u2586, _u2587, c_Orderings_Otop__class_Otop(tc_fun(_u2586, tc_HOL_Obool)), _u2588)), c_Orderings_Otop__class_Otop(tc_fun(_u2587, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2586, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1772, plain, ( ~c_Fun_Oinj__on(_u2589, _u2590, _u2591, c_Orderings_Otop__class_Otop(tc_fun(_u2589, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u2590, _u2592, _u2589, hAPP(c_Fun_Ocomp(_u2589, _u2592, _u2590, _u2593), c_Hilbert__Choice_Oinv__into(_u2589, _u2590, c_Orderings_Otop__class_Otop(tc_fun(_u2589, tc_HOL_Obool)), _u2591))), _u2591) = _u2593) )).
% 12.21/12.44 cnf(matrix-1773, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u2594, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u2594, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1774, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2595, tc_HOL_Obool)), _u2596), c_Orderings_Otop__class_Otop(tc_fun(_u2595, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1775, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2597, tc_HOL_Obool)), _u2598), c_Orderings_Otop__class_Otop(tc_fun(_u2597, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2597, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1776, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2599, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2599, tc_HOL_Obool))), _u2600) = c_Orderings_Otop__class_Otop(tc_fun(_u2599, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1777, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2601, tc_HOL_Obool)), _u2602), c_Orderings_Otop__class_Otop(tc_fun(_u2601, tc_HOL_Obool))) = _u2602) )).
% 12.21/12.44 cnf(matrix-1778, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2603, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2603, tc_HOL_Obool))), _u2604) = _u2604) )).
% 12.21/12.44 cnf(matrix-1779, plain, ( ( hAPP(_u2607, _u2608) != hAPP(_u2607, _u2609)) | ( _u2608 = _u2609) | ~c_Fun_Oinj__on(_u2605, _u2606, _u2607, c_Orderings_Otop__class_Otop(tc_fun(_u2605, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1780, plain, ( ~c_Fun_Oinj__on(_u2610, _u2611, _u2612, c_Orderings_Otop__class_Otop(tc_fun(_u2610, tc_HOL_Obool))) | ( hAPP(_u2612, _u2613) != hAPP(_u2612, _u2614)) | ( _u2613 = _u2614) )).
% 12.21/12.44 cnf(matrix-1781, plain, ( ~c_Fun_Oinj__on(_u2610, _u2611, _u2612, c_Orderings_Otop__class_Otop(tc_fun(_u2610, tc_HOL_Obool))) | ( _u2613 != _u2614) | ( hAPP(_u2612, _u2613) = hAPP(_u2612, _u2614)) )).
% 12.21/12.44 cnf(matrix-1782, plain, ( ( _u2619 = _u2618) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2615, _u2616, _u2617, _u2618, c_Orderings_Obot__class_Obot(tc_fun(_u2615, tc_HOL_Obool))), _u2619)) )).
% 12.21/12.44 cnf(matrix-1783, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2620, _u2621, _u2622, _u2623, c_Orderings_Obot__class_Obot(tc_fun(_u2620, tc_HOL_Obool))), _u2623)) )).
% 12.21/12.44 cnf(matrix-1784, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2624, _u2625, _u2626, _u2627, c_Orderings_Obot__class_Obot(tc_fun(_u2624, tc_HOL_Obool))), _u2627)) )).
% 12.21/12.44 cnf(matrix-1785, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u2628, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u2628), hAPP(c_COMBK(tc_HOL_Obool, _u2628), c_fTrue))) )).
% 12.21/12.44 cnf(matrix-1786, plain, ( ( hAPP(c_Set_Oimage(_u2629, _u2630, hAPP(hAPP(c_COMBB(_u2631, _u2630, _u2629), _u2632), _u2633)), c_Orderings_Otop__class_Otop(tc_fun(_u2629, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u2631, _u2630, _u2632), hAPP(c_Set_Oimage(_u2629, _u2631, _u2633), c_Orderings_Otop__class_Otop(tc_fun(_u2629, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1787, plain, ( ~c_Equiv__Relations_Oequiv(_u2634, _u2635, _u2636) | ~hBOOL(hAPP(hAPP(c_member(_u2634), _u2637), _u2635)) | hBOOL(hAPP(hAPP(c_member(_u2634), _u2637), hAPP(c_Relation_OImage(_u2634, _u2634, _u2636), hAPP(hAPP(c_Set_Oinsert(_u2634), _u2637), c_Orderings_Obot__class_Obot(tc_fun(_u2634, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1788, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2638, tc_Option_Ooption(_u2639)), hAPP(c_COMBK(tc_Option_Ooption(_u2639), _u2638), c_Option_Ooption_ONone(_u2639))), _u2640), c_Option_Ooption_ONone(_u2639)), _u2641) = c_Option_Ooption_ONone(_u2639)) )).
% 12.21/12.44 cnf(matrix-1789, plain, ( ~class_Orderings_Otop(_u2642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2642), _u2643), c_Orderings_Otop__class_Otop(_u2642))) )).
% 12.21/12.44 cnf(matrix-1790, plain, ( ( hAPP(c_Map_Orestrict__map(_u2644, _u2645, hAPP(c_COMBK(tc_Option_Ooption(_u2645), _u2644), c_Option_Ooption_ONone(_u2645)), _u2646), _u2647) = c_Option_Ooption_ONone(_u2645)) )).
% 12.21/12.44 cnf(matrix-1791, plain, ( ~class_Lattices_Obounded__lattice__top(_u2648) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2648), c_Orderings_Otop__class_Otop(_u2648)), _u2649) = c_Orderings_Otop__class_Otop(_u2648)) )).
% 12.21/12.44 cnf(matrix-1792, plain, ( ~class_Lattices_Obounded__lattice__top(_u2650) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2650), _u2651), c_Orderings_Otop__class_Otop(_u2650)) = c_Orderings_Otop__class_Otop(_u2650)) )).
% 12.21/12.44 cnf(matrix-1793, plain, ( ~class_Lattices_Obounded__lattice__top(_u2652) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2652), _u2653), _u2654) != c_Orderings_Otop__class_Otop(_u2652)) | ( _u2653 = c_Orderings_Otop__class_Otop(_u2652)) )).
% 12.21/12.44 cnf(matrix-1794, plain, ( ~class_Lattices_Obounded__lattice__top(_u2652) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2652), _u2653), _u2654) != c_Orderings_Otop__class_Otop(_u2652)) | ( _u2654 = c_Orderings_Otop__class_Otop(_u2652)) )).
% 12.21/12.44 cnf(matrix-1795, plain, ( ~class_Lattices_Obounded__lattice__top(_u2652) | ( _u2653 != c_Orderings_Otop__class_Otop(_u2652)) | ( _u2654 != c_Orderings_Otop__class_Otop(_u2652)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2652), _u2653), _u2654) = c_Orderings_Otop__class_Otop(_u2652)) )).
% 12.21/12.44 cnf(matrix-1796, plain, ( ~class_Lattices_Obounded__lattice__top(_u2655) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2655), _u2656), c_Orderings_Otop__class_Otop(_u2655)) = _u2656) )).
% 12.21/12.44 cnf(matrix-1797, plain, ( ~class_Lattices_Obounded__lattice__top(_u2657) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2657), c_Orderings_Otop__class_Otop(_u2657)), _u2658) = _u2658) )).
% 12.21/12.44 cnf(matrix-1798, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2659, _u2660, _u2661), _u2662)) | ( _u2661 != c_Orderings_Obot__class_Obot(tc_fun(_u2659, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1799, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2663, _u2664, c_Orderings_Obot__class_Obot(tc_fun(_u2663, tc_HOL_Obool))), _u2665)) )).
% 12.21/12.44 cnf(matrix-1800, plain, ( ( hAPP(_u2676, _u2672) != c_Option_Ooption_ONone(_u2674)) | ~hBOOL(hAPP(hAPP(c_member(_u2670), _u2672), c_Map_Odom(_u2670, _u2674, _u2676))) )).
% 12.21/12.44 cnf(matrix-1801, plain, ( ( hAPP(_u2677, _u2673) = c_Option_Ooption_ONone(_u2675)) | hBOOL(hAPP(hAPP(c_member(_u2671), _u2673), c_Map_Odom(_u2671, _u2675, _u2677))) )).
% 12.21/12.44 cnf(matrix-1802, plain, ( ( _u2678 != hAPP(_u2679, _u2680)) | hBOOL(hAPP(hAPP(c_member(_u2681), _u2678), hAPP(c_Set_Oimage(_u2682, _u2681, _u2679), c_Orderings_Otop__class_Otop(tc_fun(_u2682, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1803, plain, ( hBOOL(hAPP(hAPP(c_member(_u2683), hAPP(_u2684, _u2685)), hAPP(c_Set_Oimage(_u2686, _u2683, _u2684), c_Orderings_Otop__class_Otop(tc_fun(_u2686, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1804, plain, ( hBOOL(hAPP(hAPP(c_member(_u2687), _u2688), _u2689)) | ( hAPP(c_Map_Orestrict__map(_u2687, _u2690, _u2691, _u2689), _u2688) = c_Option_Ooption_ONone(_u2690)) )).
% 12.21/12.44 cnf(matrix-1805, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2692, tc_HOL_Obool)), _u2693), c_Orderings_Otop__class_Otop(tc_fun(_u2692, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2692, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1806, plain, ( ( hAPP(c_Set_Oimage(_u2694, _u2695, _u2696), c_Orderings_Otop__class_Otop(tc_fun(_u2694, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2695, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2695, _u2697, _u2698), c_Orderings_Otop__class_Otop(tc_fun(_u2695, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2697, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2694, _u2697, hAPP(c_Fun_Ocomp(_u2695, _u2697, _u2694, _u2698), _u2696)), c_Orderings_Otop__class_Otop(tc_fun(_u2694, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2697, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1807, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2699), _u2700), hAPP(c_Set_Oimage(_u2701, _u2699, _u2702), _u2703))) | ( hAPP(_u2702, hAPP(c_Hilbert__Choice_Oinv__into(_u2701, _u2699, _u2703, _u2702), _u2700)) = _u2700) )).
% 12.21/12.44 cnf(matrix-1808, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2704), _u2705), hAPP(c_Set_Oimage(_u2706, _u2704, _u2707), _u2708))) | hBOOL(hAPP(hAPP(c_member(_u2706), hAPP(c_Hilbert__Choice_Oinv__into(_u2706, _u2704, _u2708, _u2707), _u2705)), _u2708)) )).
% 12.21/12.44 cnf(matrix-1809, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u2709, _u2710, _u2711, _u2712), _u2713) != hAPP(c_Hilbert__Choice_Oinv__into(_u2709, _u2710, _u2711, _u2712), _u2714)) | ~hBOOL(hAPP(hAPP(c_member(_u2710), _u2713), hAPP(c_Set_Oimage(_u2709, _u2710, _u2712), _u2711))) | ~hBOOL(hAPP(hAPP(c_member(_u2710), _u2714), hAPP(c_Set_Oimage(_u2709, _u2710, _u2712), _u2711))) | ( _u2713 = _u2714) )).
% 12.21/12.44 cnf(matrix-1810, plain, ( ~c_Fun_Oinj__on(_u2715, _u2716, _u2717, c_Orderings_Otop__class_Otop(tc_fun(_u2715, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2718) != hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2719)) | ( _u2718 = _u2719) )).
% 12.21/12.44 cnf(matrix-1811, plain, ( ~c_Fun_Oinj__on(_u2715, _u2716, _u2717, c_Orderings_Otop__class_Otop(tc_fun(_u2715, tc_HOL_Obool))) | ( _u2718 != _u2719) | ( hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2718) = hAPP(c_Set_Oimage(_u2715, _u2716, _u2717), _u2719)) )).
% 12.21/12.44 cnf(matrix-1812, plain, ( ~c_Fun_Oinj__on(_u2720, _u2721, _u2722, c_Orderings_Otop__class_Otop(tc_fun(_u2720, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2723, _u2720, _u2724, c_Orderings_Otop__class_Otop(tc_fun(_u2723, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2723, _u2721, hAPP(c_Fun_Ocomp(_u2720, _u2721, _u2723, _u2722), _u2724), c_Orderings_Otop__class_Otop(tc_fun(_u2723, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1813, plain, ( ~c_Fun_Oinj__on(_u2725, _u2726, _u2727, _u2728) | ~hBOOL(hAPP(hAPP(c_member(_u2725), _u2729), _u2728)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2725, _u2726, _u2728, _u2727), hAPP(_u2727, _u2729)) = _u2729) )).
% 12.21/12.44 cnf(matrix-1814, plain, ( ~c_Fun_Oinj__on(_u2730, _u2731, _u2732, _u2733) | ~hBOOL(hAPP(hAPP(c_member(_u2730), _u2734), _u2733)) | ( hAPP(_u2732, _u2734) != _u2735) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u2730, _u2731, _u2733, _u2732), _u2735) = _u2734) )).
% 12.21/12.44 cnf(matrix-1815, plain, ( ( hAPP(c_Set_Oimage(_u2736, _u2737, _u2738), _u2739) != _u2740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2737, tc_HOL_Obool)), _u2741), _u2740)) | ( hAPP(c_Set_Oimage(_u2736, _u2737, _u2738), hAPP(c_Set_Oimage(_u2737, _u2736, c_Hilbert__Choice_Oinv__into(_u2736, _u2737, _u2739, _u2738)), _u2741)) = _u2741) )).
% 12.21/12.44 cnf(matrix-1816, plain, ( hBOOL(hAPP(hAPP(c_member(_u2742), _u2743), _u2744)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2742, _u2745, _u2746, _u2747, _u2744), _u2748)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2742, _u2745, _u2746, _u2747, hAPP(hAPP(c_Set_Oinsert(_u2742), _u2743), _u2744)), hAPP(hAPP(_u2746, _u2743), _u2748))) )).
% 12.21/12.44 cnf(matrix-1817, plain, ( ( c_Map_Odom(_u2752, _u2754, _u2756) != c_Orderings_Obot__class_Obot(tc_fun(_u2752, tc_HOL_Obool))) | ( _u2756 = hAPP(c_COMBK(tc_Option_Ooption(_u2754), _u2752), c_Option_Ooption_ONone(_u2754))) )).
% 12.21/12.44 cnf(matrix-1818, plain, ( ( _u2757 != hAPP(c_COMBK(tc_Option_Ooption(_u2755), _u2753), c_Option_Ooption_ONone(_u2755))) | ( c_Map_Odom(_u2753, _u2755, _u2757) = c_Orderings_Obot__class_Obot(tc_fun(_u2753, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1819, plain, ( ( c_Map_Odom(_u2758, _u2759, hAPP(c_COMBK(tc_Option_Ooption(_u2759), _u2758), c_Option_Ooption_ONone(_u2759))) = c_Orderings_Obot__class_Obot(tc_fun(_u2758, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1820, plain, ( ( c_Map_Odom(_u2760, _u2761, _u2762) = hAPP(c_Set_OCollect(_u2760), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2760), c_fNot), hAPP(hAPP(c_COMBC(_u2760, tc_Option_Ooption(_u2761), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u2761), tc_fun(tc_Option_Ooption(_u2761), tc_HOL_Obool), _u2760), c_fequal), _u2762)), c_Option_Ooption_ONone(_u2761))))) )).
% 12.21/12.44 cnf(matrix-1821, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2768), _u2770), _u2772)) | ( hAPP(c_Map_Orestrict__map(_u2768, _u2774, _u2776, _u2772), _u2770) = hAPP(_u2776, _u2770)) )).
% 12.21/12.44 cnf(matrix-1822, plain, ( hBOOL(hAPP(hAPP(c_member(_u2769), _u2771), _u2773)) | ( hAPP(c_Map_Orestrict__map(_u2769, _u2775, _u2777, _u2773), _u2771) = c_Option_Ooption_ONone(_u2775)) )).
% 12.21/12.44 cnf(matrix-1823, plain, ( ~c_Fun_Oinj__on(_u2778, _u2779, _u2780, c_Orderings_Otop__class_Otop(tc_fun(_u2778, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u2778, _u2779, c_Orderings_Otop__class_Otop(tc_fun(_u2778, tc_HOL_Obool)), _u2780), hAPP(_u2780, _u2781)) = _u2781) )).
% 12.21/12.44 cnf(matrix-1824, plain, ( ( hAPP(c_Map_Orestrict__map(_u2782, _u2783, _u2784, c_Orderings_Obot__class_Obot(tc_fun(_u2782, tc_HOL_Obool))), _u2785) = c_Option_Ooption_ONone(_u2783)) )).
% 12.21/12.44 cnf(matrix-1825, plain, ( ~c_Fun_Oinj__on(_u2786, _u2787, _u2788, c_Orderings_Otop__class_Otop(tc_fun(_u2786, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2786, tc_fun(_u2789, _u2787), hAPP(hAPP(c_COMBB(_u2787, tc_fun(_u2789, _u2787), _u2786), c_COMBK(_u2787, _u2789)), _u2788), c_Orderings_Otop__class_Otop(tc_fun(_u2786, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1826, plain, ( ( hAPP(_u2790, _u2791) != c_Option_Ooption_ONone(_u2792)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2793, tc_HOL_Obool)), c_Map_Odom(_u2793, _u2792, _u2790)), hAPP(hAPP(c_Set_Oinsert(_u2793), _u2791), _u2794)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2793, tc_HOL_Obool)), c_Map_Odom(_u2793, _u2792, _u2790)), _u2794)) )).
% 12.21/12.44 cnf(matrix-1827, plain, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 = hAPP(_u2801, skolem40(_u2802, _u2801, _u2800, _u2799))) )).
% 12.21/12.44 cnf(matrix-1828, plain, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 != hAPP(_u2801, _u2795)) | ( _u2795 = skolem40(_u2802, _u2801, _u2800, _u2799)) )).
% 12.21/12.44 cnf(matrix-1829, plain, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 != hAPP(_u2801, _u2798)) | ( _u2802 = hAPP(_u2801, skolem41(_u2802, _u2801, _u2800, _u2799, _u2798))) )).
% 12.21/12.44 cnf(matrix-1830, plain, ( ~c_Fun_Oinj__on(_u2799, _u2800, _u2801, c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2800), _u2802), hAPP(c_Set_Oimage(_u2799, _u2800, _u2801), c_Orderings_Otop__class_Otop(tc_fun(_u2799, tc_HOL_Obool))))) | ( _u2802 != hAPP(_u2801, _u2798)) | ( skolem41(_u2802, _u2801, _u2800, _u2799, _u2798) != _u2798) )).
% 12.21/12.44 cnf(matrix-1831, plain, ( ~c_Fun_Oinj__on(_u2803, _u2804, _u2805, c_Orderings_Otop__class_Otop(tc_fun(_u2803, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2804), hAPP(_u2805, _u2806)), hAPP(c_Set_Oimage(_u2803, _u2804, _u2805), _u2807))) | hBOOL(hAPP(hAPP(c_member(_u2803), _u2806), _u2807)) )).
% 12.21/12.44 cnf(matrix-1832, plain, ( ~c_Fun_Oinj__on(_u2803, _u2804, _u2805, c_Orderings_Otop__class_Otop(tc_fun(_u2803, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2803), _u2806), _u2807)) | hBOOL(hAPP(hAPP(c_member(_u2804), hAPP(_u2805, _u2806)), hAPP(c_Set_Oimage(_u2803, _u2804, _u2805), _u2807))) )).
% 12.21/12.44 cnf(matrix-1833, plain, ( ~c_Fun_Oinj__on(_u2808, _u2809, _u2810, c_Orderings_Otop__class_Otop(tc_fun(_u2808, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2809, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2811)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2812))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2808, tc_HOL_Obool)), _u2811), _u2812)) )).
% 12.21/12.44 cnf(matrix-1834, plain, ( ~c_Fun_Oinj__on(_u2808, _u2809, _u2810, c_Orderings_Otop__class_Otop(tc_fun(_u2808, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2808, tc_HOL_Obool)), _u2811), _u2812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2809, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2811)), hAPP(c_Set_Oimage(_u2808, _u2809, _u2810), _u2812))) )).
% 12.21/12.44 cnf(matrix-1835, plain, ( ~c_Fun_Oinj__on(_u2813, _u2814, _u2815, c_Orderings_Otop__class_Otop(tc_fun(_u2813, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2813, _u2814, _u2815), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2813, tc_HOL_Obool)), _u2816), _u2817)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2814, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2813, _u2814, _u2815), _u2816)), hAPP(c_Set_Oimage(_u2813, _u2814, _u2815), _u2817))) )).
% 12.21/12.44 cnf(matrix-1836, plain, ( ~c_Fun_Oinj__on(_u2818, _u2819, _u2820, c_Orderings_Otop__class_Otop(tc_fun(_u2818, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2818, _u2819, _u2820), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2818, tc_HOL_Obool)), _u2821), _u2822)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2819, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2818, _u2819, _u2820), _u2821)), hAPP(c_Set_Oimage(_u2818, _u2819, _u2820), _u2822))) )).
% 12.21/12.44 cnf(matrix-1837, plain, ( ~c_Fun_Oinj__on(_u2823, _u2824, _u2825, _u2826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2823, tc_HOL_Obool)), _u2827), _u2826)) | ( hAPP(c_Set_Oimage(_u2824, _u2823, c_Hilbert__Choice_Oinv__into(_u2823, _u2824, _u2826, _u2825)), hAPP(c_Set_Oimage(_u2823, _u2824, _u2825), _u2827)) = _u2827) )).
% 12.21/12.44 cnf(matrix-1838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2828, tc_HOL_Obool)), _u2829), hAPP(c_Set_Oimage(_u2830, _u2828, _u2831), _u2832))) | c_Fun_Oinj__on(_u2828, _u2830, c_Hilbert__Choice_Oinv__into(_u2830, _u2828, _u2832, _u2831), _u2829) )).
% 12.21/12.44 cnf(matrix-1839, plain, ( ( hAPP(_u2836, hAPP(_u2837, _u2839)) = hAPP(_u2838, _u2839)) | ( hAPP(c_Fun_Ocomp(_u2833, _u2834, _u2835, _u2836), _u2837) != _u2838) )).
% 12.21/12.44 cnf(matrix-1840, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2840, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2841, _u2840, _u2842), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2841, tc_HOL_Obool)), _u2843), _u2844))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2840, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2841, _u2840, _u2842), _u2843)), hAPP(c_Relation_OImage(_u2841, _u2840, _u2842), _u2844)))) )).
% 12.21/12.44 cnf(matrix-1841, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2846, tc_HOL_Obool)), _u2847), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2846), _u2848), _u2849))) | ( _u2847 = hAPP(c_Relation_OImage(_u2846, _u2846, _u2849), hAPP(hAPP(c_Set_Oinsert(_u2846), skolem42(_u2849, _u2848, _u2847, _u2846)), c_Orderings_Obot__class_Obot(tc_fun(_u2846, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1842, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2846, tc_HOL_Obool)), _u2847), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2846), _u2848), _u2849))) | hBOOL(hAPP(hAPP(c_member(_u2846), skolem42(_u2849, _u2848, _u2847, _u2846)), _u2848)) )).
% 12.21/12.44 cnf(matrix-1843, plain, ( ( hAPP(c_Relation_OImage(_u2850, _u2851, _u2852), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2850, tc_HOL_Obool)), _u2853), _u2854)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2851, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2850, _u2851, _u2852), _u2853)), hAPP(c_Relation_OImage(_u2850, _u2851, _u2852), _u2854))) )).
% 12.21/12.44 cnf(matrix-1844, plain, ( ( hAPP(c_Relation_OImage(_u2855, _u2856, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u2855, _u2856), tc_HOL_Obool)), _u2857), _u2858)), _u2859) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2856, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2855, _u2856, _u2857), _u2859)), hAPP(c_Relation_OImage(_u2855, _u2856, _u2858), _u2859))) )).
% 12.21/12.44 cnf(matrix-1845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u2860, _u2861), tc_HOL_Obool)), _u2862), _u2863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2860, tc_HOL_Obool)), _u2864), _u2865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2861, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u2860, _u2861, _u2862), _u2864)), hAPP(c_Relation_OImage(_u2860, _u2861, _u2863), _u2865))) )).
% 12.21/12.44 cnf(matrix-1846, plain, ( ( hAPP(c_Relation_OImage(_u2866, _u2867, _u2868), c_Orderings_Obot__class_Obot(tc_fun(_u2866, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2867, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1847, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u2869), _u2870), _u2871) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2869, tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool)), _u2870), hAPP(hAPP(c_COMBC(_u2869, tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2869, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool)), _u2869), c_Set_Oinsert(tc_fun(_u2869, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u2869, tc_HOL_Obool), tc_fun(_u2869, tc_HOL_Obool), _u2869), c_Relation_OImage(_u2869, _u2869, _u2871)), hAPP(hAPP(c_COMBC(_u2869, tc_fun(_u2869, tc_HOL_Obool), tc_fun(_u2869, tc_HOL_Obool)), c_Set_Oinsert(_u2869)), c_Orderings_Obot__class_Obot(tc_fun(_u2869, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2869, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1848, plain, ( ~c_Fun_Oinj__on(_u2872, _u2873, _u2874, c_Orderings_Otop__class_Otop(tc_fun(_u2872, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2872, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2872, _u2873, _u2874), hAPP(hAPP(c_Set_Oinsert(_u2873), _u2875), c_Orderings_Obot__class_Obot(tc_fun(_u2873, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u2872), c_HOL_OThe(_u2872, hAPP(hAPP(c_COMBC(_u2872, _u2873, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2873, tc_fun(_u2873, tc_HOL_Obool), _u2872), c_fequal), _u2874)), _u2875))), c_Orderings_Obot__class_Obot(tc_fun(_u2872, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1849, plain, ( ~c_Fun_Oinj__on(_u2877, _u2878, _u2879, c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool))) | hBOOL(hAPP(_u2880, _u2881)) | hBOOL(hAPP(hAPP(c_member(_u2878), skolem43(_u2881, _u2880, _u2879, _u2878, _u2877)), hAPP(c_Set_Oimage(_u2877, _u2878, _u2879), c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1850, plain, ( ~c_Fun_Oinj__on(_u2877, _u2878, _u2879, c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool))) | hBOOL(hAPP(_u2880, _u2881)) | ~hBOOL(hAPP(_u2880, hAPP(c_Hilbert__Choice_Oinv__into(_u2877, _u2878, c_Orderings_Otop__class_Otop(tc_fun(_u2877, tc_HOL_Obool)), _u2879), skolem43(_u2881, _u2880, _u2879, _u2878, _u2877)))) )).
% 12.21/12.44 cnf(matrix-1851, plain, ( ( hAPP(_u2882, _u2883) != _u2884) | ~hBOOL(hAPP(hAPP(c_member(_u2885), _u2884), _u2886)) | hBOOL(hAPP(hAPP(c_member(_u2887), _u2883), hAPP(c_Set_Ovimage(_u2887, _u2885, _u2882), _u2886))) )).
% 12.21/12.44 cnf(matrix-1852, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2888), _u2889), _u2890)) | ~hBOOL(hAPP(hAPP(_u2891, _u2889), _u2892)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2888, tc_fun(_u2893, tc_HOL_Obool)), _u2890), _u2891), _u2892)) )).
% 12.21/12.44 cnf(matrix-1853, plain, ( hBOOL(hAPP(_u2905, hAPP(_u2903, _u2907))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u2899, _u2901, _u2903), _u2905), _u2907)) )).
% 12.21/12.44 cnf(matrix-1854, plain, ( ~hBOOL(hAPP(_u2906, hAPP(_u2904, _u2908))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u2900, _u2902, _u2904), _u2906), _u2908)) )).
% 12.21/12.44 cnf(matrix-1855, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2916, tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2922), _u2924)) | hBOOL(hAPP(hAPP(c_member(_u2916), skolem44(_u2924, _u2922, _u2920, _u2918, _u2916)), _u2920)) )).
% 12.21/12.44 cnf(matrix-1856, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2916, tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2922), _u2924)) | hBOOL(hAPP(hAPP(_u2922, skolem44(_u2924, _u2922, _u2920, _u2918, _u2916)), _u2924)) )).
% 12.21/12.44 cnf(matrix-1857, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2917), _u2910), _u2921)) | ~hBOOL(hAPP(hAPP(_u2923, _u2910), _u2925)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2917, tc_fun(_u2919, tc_HOL_Obool)), _u2921), _u2923), _u2925)) )).
% 12.21/12.44 cnf(matrix-1858, plain, ( ( hAPP(c_Set_Ovimage(_u2926, _u2926, c_COMBI(_u2926)), _u2927) = _u2927) )).
% 12.21/12.44 cnf(matrix-1859, plain, ( ( hAPP(c_Relation_OImage(_u2928, _u2929, _u2930), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2931, tc_fun(_u2928, tc_HOL_Obool)), _u2932), _u2933)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2931, tc_fun(_u2929, tc_HOL_Obool)), _u2932), hAPP(hAPP(c_COMBB(tc_fun(_u2928, tc_HOL_Obool), tc_fun(_u2929, tc_HOL_Obool), _u2931), c_Relation_OImage(_u2928, _u2929, _u2930)), _u2933))) )).
% 12.21/12.44 cnf(matrix-1860, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2934, tc_fun(_u2935, tc_HOL_Obool)), _u2936), hAPP(c_Fun_Ocomp(_u2937, tc_fun(_u2935, tc_HOL_Obool), _u2934, _u2938), _u2939)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2937, tc_fun(_u2935, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2934, _u2937, _u2939), _u2936)), _u2938)) )).
% 12.21/12.44 cnf(matrix-1861, plain, ( hBOOL(hAPP(hAPP(c_member(_u2949), hAPP(_u2951, _u2947)), _u2953)) | ~hBOOL(hAPP(hAPP(c_member(_u2945), _u2947), hAPP(c_Set_Ovimage(_u2945, _u2949, _u2951), _u2953))) )).
% 12.21/12.44 cnf(matrix-1862, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2950), hAPP(_u2952, _u2948)), _u2954)) | hBOOL(hAPP(hAPP(c_member(_u2946), _u2948), hAPP(c_Set_Ovimage(_u2946, _u2950, _u2952), _u2954))) )).
% 12.21/12.44 cnf(matrix-1863, plain, ( hBOOL(hAPP(hAPP(c_member(_u2957), hAPP(_u2958, _u2956)), _u2959)) | ~hBOOL(hAPP(hAPP(c_member(_u2955), _u2956), hAPP(c_Set_Ovimage(_u2955, _u2957, _u2958), _u2959))) )).
% 12.21/12.44 cnf(matrix-1864, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2960), hAPP(_u2961, _u2962)), _u2963)) | hBOOL(hAPP(hAPP(c_member(_u2964), _u2962), hAPP(c_Set_Ovimage(_u2964, _u2960, _u2961), _u2963))) )).
% 12.21/12.44 cnf(matrix-1865, plain, ( ( hAPP(c_Set_Ovimage(_u2965, _u2966, _u2967), c_Orderings_Obot__class_Obot(tc_fun(_u2966, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2965, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2971, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2971, _u2968, _u2972), _u2969)), hAPP(c_Set_Ovimage(_u2971, _u2968, _u2972), _u2970))) )).
% 12.21/12.44 cnf(matrix-1867, plain, ( ( hAPP(c_Set_Ovimage(_u2973, _u2974, _u2975), c_Orderings_Otop__class_Otop(tc_fun(_u2974, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2973, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1868, plain, ( ( hAPP(c_Set_Ovimage(_u2976, _u2977, _u2978), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2977, tc_HOL_Obool)), _u2979), _u2980)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2976, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2976, _u2977, _u2978), _u2979)), hAPP(c_Set_Ovimage(_u2976, _u2977, _u2978), _u2980))) )).
% 12.21/12.44 cnf(matrix-1869, plain, ( ( hAPP(c_Set_Ovimage(_u2981, _u2982, _u2983), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2982, tc_HOL_Obool)), _u2984), _u2985)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2981, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2981, _u2982, _u2983), _u2984)), hAPP(c_Set_Ovimage(_u2981, _u2982, _u2983), _u2985))) )).
% 12.21/12.44 cnf(matrix-1870, plain, ( ( hAPP(c_Set_Ovimage(_u2986, _u2987, hAPP(c_Fun_Ocomp(_u2988, _u2987, _u2986, _u2989), _u2990)), _u2991) = hAPP(c_Set_Ovimage(_u2986, _u2988, _u2990), hAPP(c_Set_Ovimage(_u2988, _u2987, _u2989), _u2991))) )).
% 12.21/12.44 cnf(matrix-1871, plain, ( ( hAPP(c_Set_Ovimage(_u2992, _u2993, _u2994), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2993, tc_HOL_Obool)), _u2995), _u2996)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2992, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u2992, _u2993, _u2994), _u2995)), hAPP(c_Set_Ovimage(_u2992, _u2993, _u2994), _u2996))) )).
% 12.21/12.44 cnf(matrix-1872, plain, ( ( hAPP(c_Set_Ovimage(_u2997, _u2998, _u2999), hAPP(c_Set_OCollect(_u2998), _u3000)) = hAPP(c_Set_OCollect(_u2997), hAPP(hAPP(c_COMBB(_u2998, tc_HOL_Obool, _u2997), _u3000), _u2999))) )).
% 12.21/12.44 cnf(matrix-1873, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3001, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3002, _u3001, _u3003), hAPP(c_Set_Ovimage(_u3002, _u3001, _u3003), _u3004))), _u3004)) )).
% 12.21/12.44 cnf(matrix-1874, plain, ( ( hAPP(c_Set_Oimage(_u3005, _u3006, _u3007), c_Orderings_Otop__class_Otop(tc_fun(_u3005, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3006, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3005, _u3006, _u3007), hAPP(c_Set_Ovimage(_u3005, _u3006, _u3007), _u3008)) = _u3008) )).
% 12.21/12.44 cnf(matrix-1875, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3013, tc_fun(_u3015, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3013, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u3015, tc_HOL_Obool), tc_fun(_u3015, tc_HOL_Obool), _u3013), hAPP(c_COMBC(_u3015, tc_fun(_u3015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3015))), _u3017)), _u3019)) | hBOOL(hAPP(hAPP(c_member(_u3015), _u3019), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3013, tc_fun(_u3015, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3013, tc_HOL_Obool))), _u3017))) )).
% 12.21/12.44 cnf(matrix-1876, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3016), _u3020), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3014, tc_fun(_u3016, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3014, tc_HOL_Obool))), _u3018))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3014, tc_fun(_u3016, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3014, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u3016, tc_HOL_Obool), tc_fun(_u3016, tc_HOL_Obool), _u3014), hAPP(c_COMBC(_u3016, tc_fun(_u3016, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3016))), _u3018)), _u3020)) )).
% 12.21/12.44 cnf(matrix-1877, plain, ( ( hAPP(c_Relation_OImage(_u3021, _u3022, _u3023), _u3024) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3021, tc_fun(_u3022, tc_HOL_Obool)), _u3024), hAPP(hAPP(c_COMBB(tc_fun(_u3021, tc_HOL_Obool), tc_fun(_u3022, tc_HOL_Obool), _u3021), c_Relation_OImage(_u3021, _u3022, _u3023)), hAPP(hAPP(c_COMBC(_u3021, tc_fun(_u3021, tc_HOL_Obool), tc_fun(_u3021, tc_HOL_Obool)), c_Set_Oinsert(_u3021)), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1878, plain, ( ( hAPP(c_Set_Ovimage(_u3025, _u3026, _u3027), _u3028) = hAPP(c_Set_OCollect(_u3025), hAPP(hAPP(c_COMBC(_u3025, tc_fun(_u3026, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u3026, tc_fun(tc_fun(_u3026, tc_HOL_Obool), tc_HOL_Obool), _u3025), c_member(_u3026)), _u3027)), _u3028))) )).
% 12.21/12.44 cnf(matrix-1879, plain, ( ( hAPP(_u3040, _u3036) = _u3042) | ~hBOOL(hAPP(hAPP(c_member(_u3034), _u3036), hAPP(c_Set_Ovimage(_u3034, _u3038, _u3040), hAPP(hAPP(c_Set_Oinsert(_u3038), _u3042), c_Orderings_Obot__class_Obot(tc_fun(_u3038, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1880, plain, ( ( hAPP(_u3041, _u3037) != _u3043) | hBOOL(hAPP(hAPP(c_member(_u3035), _u3037), hAPP(c_Set_Ovimage(_u3035, _u3039, _u3041), hAPP(hAPP(c_Set_Oinsert(_u3039), _u3043), c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1881, plain, ( ( hAPP(c_Set_Ovimage(_u3044, _u3045, _u3046), hAPP(hAPP(c_Set_Oinsert(_u3045), _u3047), _u3048)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3044, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3044, _u3045, _u3046), hAPP(hAPP(c_Set_Oinsert(_u3045), _u3047), c_Orderings_Obot__class_Obot(tc_fun(_u3045, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u3044, _u3045, _u3046), _u3048))) )).
% 12.21/12.44 cnf(matrix-1882, plain, ( ( hAPP(c_Set_Oimage(_u3049, _u3050, _u3051), c_Orderings_Otop__class_Otop(tc_fun(_u3049, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3050, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3049, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3049, _u3050, _u3051), _u3052)), _u3053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3050, tc_HOL_Obool)), _u3052), hAPP(c_Set_Oimage(_u3049, _u3050, _u3051), _u3053))) )).
% 12.21/12.44 cnf(matrix-1883, plain, ( ( hAPP(c_Set_Oimage(_u3054, _u3055, _u3056), hAPP(c_Set_Ovimage(_u3054, _u3055, _u3056), _u3057)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3055, tc_HOL_Obool)), _u3057), hAPP(c_Set_Oimage(_u3054, _u3055, _u3056), c_Orderings_Otop__class_Otop(tc_fun(_u3054, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1884, plain, ( ~c_Fun_Oinj__on(_u3058, _u3059, _u3060, c_Orderings_Otop__class_Otop(tc_fun(_u3058, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u3058, _u3059, _u3060), hAPP(c_Set_Oimage(_u3058, _u3059, _u3060), _u3061)) = _u3061) )).
% 12.21/12.44 cnf(matrix-1885, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3066), _u3068), _u3070)) | ( hAPP(c_Set_Ovimage(_u3072, _u3066, hAPP(c_COMBK(_u3066, _u3072), _u3068)), _u3070) = c_Orderings_Otop__class_Otop(tc_fun(_u3072, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1886, plain, ( hBOOL(hAPP(hAPP(c_member(_u3067), _u3069), _u3071)) | ( hAPP(c_Set_Ovimage(_u3073, _u3067, hAPP(c_COMBK(_u3067, _u3073), _u3069)), _u3071) = c_Orderings_Obot__class_Obot(tc_fun(_u3073, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1887, plain, ( ~c_Fun_Oinj__on(_u3074, _u3075, _u3076, c_Orderings_Otop__class_Otop(tc_fun(_u3074, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3075, tc_HOL_Obool)), _u3077), hAPP(c_Set_Oimage(_u3074, _u3075, _u3076), _u3078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3074, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3074, _u3075, _u3076), _u3077)), _u3078)) )).
% 12.21/12.44 cnf(matrix-1888, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3079), _u3080), _u3081)) | ~hBOOL(hAPP(hAPP(c_member(_u3082), _u3083), hAPP(_u3084, _u3080))) | hBOOL(hAPP(hAPP(c_member(_u3082), _u3083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3079, tc_fun(_u3082, tc_HOL_Obool)), _u3081), _u3084))) )).
% 12.21/12.44 cnf(matrix-1889, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3086, tc_fun(tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool)), _u3087), hAPP(hAPP(c_COMBB(tc_fun(_u3085, tc_HOL_Obool), tc_fun(tc_fun(_u3085, tc_HOL_Obool), tc_HOL_Obool), _u3086), c_Set_OPow(_u3085)), _u3088))), hAPP(c_Set_OPow(_u3085), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3086, tc_fun(_u3085, tc_HOL_Obool)), _u3087), _u3088)))) )).
% 12.21/12.44 cnf(matrix-1890, plain, ( ( hAPP(c_Set_Ovimage(_u3089, _u3090, _u3091), _u3092) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3090, tc_fun(_u3089, tc_HOL_Obool)), _u3092), hAPP(hAPP(c_COMBB(tc_fun(_u3090, tc_HOL_Obool), tc_fun(_u3089, tc_HOL_Obool), _u3090), c_Set_Ovimage(_u3089, _u3090, _u3091)), hAPP(hAPP(c_COMBC(_u3090, tc_fun(_u3090, tc_HOL_Obool), tc_fun(_u3090, tc_HOL_Obool)), c_Set_Oinsert(_u3090)), c_Orderings_Obot__class_Obot(tc_fun(_u3090, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1891, plain, ( ( hAPP(c_Set_Oimage(_u3093, _u3094, _u3095), _u3096) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3093, tc_fun(_u3094, tc_HOL_Obool)), _u3096), hAPP(hAPP(c_COMBC(_u3093, tc_fun(_u3094, tc_HOL_Obool), tc_fun(_u3094, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3094, tc_fun(tc_fun(_u3094, tc_HOL_Obool), tc_fun(_u3094, tc_HOL_Obool)), _u3093), c_Set_Oinsert(_u3094)), _u3095)), c_Orderings_Obot__class_Obot(tc_fun(_u3094, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-1892, plain, ( ~c_Equiv__Relations_Oequiv(_u3097, _u3098, _u3099) | ~c_Equiv__Relations_Ocongruent(_u3097, tc_fun(_u3100, tc_HOL_Obool), _u3099, _u3101) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3102), _u3098)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3097, tc_fun(_u3100, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3097, _u3097, _u3099), hAPP(hAPP(c_Set_Oinsert(_u3097), _u3102), c_Orderings_Obot__class_Obot(tc_fun(_u3097, tc_HOL_Obool))))), _u3101) = hAPP(_u3101, _u3102)) )).
% 12.21/12.44 cnf(matrix-1893, plain, ( ~c_Equiv__Relations_Oequiv(_u3103, _u3104, _u3105) | ~c_Equiv__Relations_Oequiv(_u3106, _u3107, _u3108) | ~c_Equiv__Relations_Ocongruent2(_u3103, _u3106, tc_fun(_u3109, tc_HOL_Obool), _u3105, _u3108, _u3110) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3111), _u3104)) | ~hBOOL(hAPP(hAPP(c_member(_u3106), _u3112), _u3107)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3103, tc_fun(_u3109, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3103, _u3103, _u3105), hAPP(hAPP(c_Set_Oinsert(_u3103), _u3111), c_Orderings_Obot__class_Obot(tc_fun(_u3103, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u3106, tc_fun(_u3109, tc_HOL_Obool)), tc_fun(_u3109, tc_HOL_Obool), _u3103), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3106, tc_fun(_u3109, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3106, _u3106, _u3108), hAPP(hAPP(c_Set_Oinsert(_u3106), _u3112), c_Orderings_Obot__class_Obot(tc_fun(_u3106, tc_HOL_Obool)))))), _u3110)) = hAPP(hAPP(_u3110, _u3111), _u3112)) )).
% 12.21/12.44 cnf(matrix-1894, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3113, tc_fun(_u3114, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3113), _u3115), _u3116)), _u3117) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3114, tc_HOL_Obool)), hAPP(_u3117, _u3115)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3113, tc_fun(_u3114, tc_HOL_Obool)), _u3116), _u3117))) )).
% 12.21/12.44 cnf(matrix-1895, plain, ( ( _u3123 != c_Orderings_Obot__class_Obot(tc_fun(_u3125, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3127, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3125, tc_fun(_u3127, tc_HOL_Obool)), _u3123), _u3129)), _u3131) = _u3131) )).
% 12.21/12.44 cnf(matrix-1896, plain, ( ( _u3124 = c_Orderings_Obot__class_Obot(tc_fun(_u3126, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3128, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3126, tc_fun(_u3128, tc_HOL_Obool)), _u3124), _u3130)), _u3132) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3126, tc_fun(_u3128, tc_HOL_Obool)), _u3124), hAPP(hAPP(c_COMBC(_u3126, tc_fun(_u3128, tc_HOL_Obool), tc_fun(_u3128, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3128, tc_HOL_Obool), tc_fun(tc_fun(_u3128, tc_HOL_Obool), tc_fun(_u3128, tc_HOL_Obool)), _u3126), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3128, tc_HOL_Obool))), _u3130)), _u3132))) )).
% 12.21/12.44 cnf(matrix-1897, plain, ( ( _u3138 != c_Orderings_Obot__class_Obot(tc_fun(_u3140, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3142, tc_HOL_Obool)), _u3144), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3140, tc_fun(_u3142, tc_HOL_Obool)), _u3138), _u3146)) = _u3144) )).
% 12.21/12.44 cnf(matrix-1898, plain, ( ( _u3139 = c_Orderings_Obot__class_Obot(tc_fun(_u3141, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3143, tc_HOL_Obool)), _u3145), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3141, tc_fun(_u3143, tc_HOL_Obool)), _u3139), _u3147)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3141, tc_fun(_u3143, tc_HOL_Obool)), _u3139), hAPP(hAPP(c_COMBB(tc_fun(_u3143, tc_HOL_Obool), tc_fun(_u3143, tc_HOL_Obool), _u3141), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3143, tc_HOL_Obool)), _u3145)), _u3147))) )).
% 12.21/12.44 cnf(matrix-1899, plain, ( ~c_Equiv__Relations_Oequiv(_u3148, _u3149, _u3150) | ~c_Equiv__Relations_Ocongruent2(_u3148, _u3151, _u3152, _u3150, _u3153, _u3154) | ~hBOOL(hAPP(hAPP(c_member(_u3148), _u3155), _u3149)) | c_Equiv__Relations_Ocongruent(_u3151, _u3152, _u3153, hAPP(_u3154, _u3155)) )).
% 12.21/12.44 cnf(matrix-1900, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3169), _u3158), _u3171)) | ~hBOOL(hAPP(hAPP(c_member(_u3167), _u3157), hAPP(_u3173, _u3158))) | hBOOL(hAPP(_u3175, _u3157)) | hBOOL(hAPP(hAPP(c_member(_u3167), skolem45(_u3175, _u3173, _u3171, _u3169, _u3167)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3169, tc_fun(_u3167, tc_HOL_Obool)), _u3171), _u3173))) )).
% 12.21/12.44 cnf(matrix-1901, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3169), _u3158), _u3171)) | ~hBOOL(hAPP(hAPP(c_member(_u3167), _u3157), hAPP(_u3173, _u3158))) | hBOOL(hAPP(_u3175, _u3157)) | ~hBOOL(hAPP(_u3175, skolem45(_u3175, _u3173, _u3171, _u3169, _u3167))) )).
% 12.21/12.44 cnf(matrix-1902, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3168), _u3161), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3170, tc_fun(_u3168, tc_HOL_Obool)), _u3172), _u3174))) | hBOOL(hAPP(_u3176, _u3161)) | hBOOL(hAPP(hAPP(c_member(_u3170), skolem46(_u3176, _u3174, _u3172, _u3170, _u3168)), _u3172)) )).
% 12.21/12.44 cnf(matrix-1903, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3168), _u3161), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3170, tc_fun(_u3168, tc_HOL_Obool)), _u3172), _u3174))) | hBOOL(hAPP(_u3176, _u3161)) | hBOOL(hAPP(hAPP(c_member(_u3168), skolem47(_u3176, _u3174, _u3172, _u3170, _u3168)), hAPP(_u3174, skolem46(_u3176, _u3174, _u3172, _u3170, _u3168)))) )).
% 12.21/12.44 cnf(matrix-1904, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3168), _u3161), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3170, tc_fun(_u3168, tc_HOL_Obool)), _u3172), _u3174))) | hBOOL(hAPP(_u3176, _u3161)) | ~hBOOL(hAPP(_u3176, skolem47(_u3176, _u3174, _u3172, _u3170, _u3168))) )).
% 12.21/12.44 cnf(matrix-1905, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3177) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3178, _u3177), _u3179), hAPP(hAPP(c_COMBB(tc_fun(_u3180, _u3177), _u3177, _u3178), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3180, _u3177), _u3181)), _u3182)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3180, _u3177), _u3181), hAPP(hAPP(c_COMBB(tc_fun(_u3178, _u3177), _u3177, _u3180), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3178, _u3177), _u3179)), hAPP(c_COMBC(_u3178, _u3180, _u3177), _u3182)))) )).
% 12.21/12.44 cnf(matrix-1906, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3183, tc_fun(_u3184, tc_HOL_Obool)), _u3185), hAPP(hAPP(c_COMBC(_u3183, tc_fun(_u3186, tc_fun(_u3184, tc_HOL_Obool)), tc_fun(_u3184, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3186, tc_HOL_Obool), tc_fun(tc_fun(_u3186, tc_fun(_u3184, tc_HOL_Obool)), tc_fun(_u3184, tc_HOL_Obool)), _u3183), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3186, tc_fun(_u3184, tc_HOL_Obool))), _u3187)), _u3188)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3186, tc_fun(_u3184, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3183, tc_fun(_u3186, tc_HOL_Obool)), _u3185), _u3187)), _u3188)) )).
% 12.21/12.44 cnf(matrix-1907, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3189, tc_fun(_u3190, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3191, tc_fun(_u3189, tc_HOL_Obool)), _u3192), _u3193)), _u3194) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3191, tc_fun(_u3190, tc_HOL_Obool)), _u3192), hAPP(hAPP(c_COMBC(_u3191, tc_fun(_u3189, tc_fun(_u3190, tc_HOL_Obool)), tc_fun(_u3190, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3189, tc_HOL_Obool), tc_fun(tc_fun(_u3189, tc_fun(_u3190, tc_HOL_Obool)), tc_fun(_u3190, tc_HOL_Obool)), _u3191), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3189, tc_fun(_u3190, tc_HOL_Obool))), _u3193)), _u3194))) )).
% 12.21/12.44 cnf(matrix-1908, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3195, tc_fun(_u3196, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3197, tc_fun(_u3195, tc_HOL_Obool)), _u3198), _u3199)), _u3200) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3197, tc_fun(_u3196, tc_HOL_Obool)), _u3198), hAPP(hAPP(c_COMBC(_u3197, tc_fun(_u3195, tc_fun(_u3196, tc_HOL_Obool)), tc_fun(_u3196, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3195, tc_HOL_Obool), tc_fun(tc_fun(_u3195, tc_fun(_u3196, tc_HOL_Obool)), tc_fun(_u3196, tc_HOL_Obool)), _u3197), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3195, tc_fun(_u3196, tc_HOL_Obool))), _u3199)), _u3200))) )).
% 12.21/12.44 cnf(matrix-1909, plain, ( ~c_Equiv__Relations_Oequiv(_u3201, _u3202, _u3203) | ~c_Equiv__Relations_Oequiv(_u3204, _u3205, _u3206) | ~c_Equiv__Relations_Ocongruent2(_u3201, _u3204, tc_fun(_u3207, tc_HOL_Obool), _u3203, _u3206, _u3208) | ~hBOOL(hAPP(hAPP(c_member(_u3204), _u3209), _u3205)) | c_Equiv__Relations_Ocongruent(_u3201, tc_fun(_u3207, tc_HOL_Obool), _u3203, hAPP(hAPP(c_COMBB(tc_fun(_u3204, tc_fun(_u3207, tc_HOL_Obool)), tc_fun(_u3207, tc_HOL_Obool), _u3201), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3204, tc_fun(_u3207, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3204, _u3204, _u3206), hAPP(hAPP(c_Set_Oinsert(_u3204), _u3209), c_Orderings_Obot__class_Obot(tc_fun(_u3204, tc_HOL_Obool)))))), _u3208)) )).
% 12.21/12.44 cnf(matrix-1910, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3213, _u3212), _u3214), _u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_member(_u3213), _u3210), _u3214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(_u3215, _u3210)), _u3216)) )).
% 12.21/12.44 cnf(matrix-1911, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3213, _u3212), _u3214), _u3215)), _u3216)) | hBOOL(hAPP(hAPP(c_member(_u3213), skolem48(_u3216, _u3215, _u3214, _u3213, _u3212)), _u3214)) )).
% 12.21/12.44 cnf(matrix-1912, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3212) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3213, _u3212), _u3214), _u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), hAPP(_u3215, skolem48(_u3216, _u3215, _u3214, _u3213, _u3212))), _u3216)) )).
% 12.21/12.44 cnf(matrix-1913, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3219) | ~class_Orderings_Olinorder(_u3219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3221, _u3219), _u3222), _u3223))) | hBOOL(hAPP(hAPP(c_member(_u3221), skolem49(_u3223, _u3222, _u3221, _u3220, _u3219)), _u3222)) )).
% 12.21/12.44 cnf(matrix-1914, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3219) | ~class_Orderings_Olinorder(_u3219) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3221, _u3219), _u3222), _u3223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(_u3223, skolem49(_u3223, _u3222, _u3221, _u3220, _u3219)))) )).
% 12.21/12.44 cnf(matrix-1915, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3219) | ~class_Orderings_Olinorder(_u3219) | ~hBOOL(hAPP(hAPP(c_member(_u3221), _u3218), _u3222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(_u3223, _u3218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3219), _u3220), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3221, _u3219), _u3222), _u3223))) )).
% 12.21/12.44 cnf(matrix-1916, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3231), _u3233), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3235, tc_fun(_u3231, tc_HOL_Obool)), _u3237), _u3239))) | hBOOL(hAPP(hAPP(c_member(_u3235), skolem50(_u3239, _u3237, _u3235, _u3233, _u3231)), _u3237)) )).
% 12.21/12.44 cnf(matrix-1917, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3231), _u3233), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3235, tc_fun(_u3231, tc_HOL_Obool)), _u3237), _u3239))) | hBOOL(hAPP(hAPP(c_member(_u3231), _u3233), hAPP(_u3239, skolem50(_u3239, _u3237, _u3235, _u3233, _u3231)))) )).
% 12.21/12.44 cnf(matrix-1918, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3236), _u3225), _u3238)) | ~hBOOL(hAPP(hAPP(c_member(_u3232), _u3234), hAPP(_u3240, _u3225))) | hBOOL(hAPP(hAPP(c_member(_u3232), _u3234), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3236, tc_fun(_u3232, tc_HOL_Obool)), _u3238), _u3240))) )).
% 12.21/12.44 cnf(matrix-1919, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3241) | ( _u3242 = c_Orderings_Obot__class_Obot(tc_fun(_u3243, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3243, _u3241), _u3242), hAPP(c_COMBK(_u3241, _u3243), _u3244)) = _u3244) )).
% 12.21/12.44 cnf(matrix-1920, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3251, tc_fun(_u3253, tc_HOL_Obool)), _u3255), _u3257) != c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3251), _u3245), _u3255)) | ( hAPP(_u3257, _u3245) = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1921, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3252, tc_fun(_u3254, tc_HOL_Obool)), _u3256), _u3258) = c_Orderings_Obot__class_Obot(tc_fun(_u3254, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3252), skolem51(_u3258, _u3256, _u3254, _u3252)), _u3256)) )).
% 12.21/12.44 cnf(matrix-1922, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3252, tc_fun(_u3254, tc_HOL_Obool)), _u3256), _u3258) = c_Orderings_Obot__class_Obot(tc_fun(_u3254, tc_HOL_Obool))) | ( hAPP(_u3258, skolem51(_u3258, _u3256, _u3254, _u3252)) != c_Orderings_Obot__class_Obot(tc_fun(_u3254, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1923, plain, ( ( _u3263 != c_Orderings_Obot__class_Obot(tc_fun(_u3265, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3265, tc_fun(_u3267, tc_HOL_Obool)), _u3263), hAPP(c_COMBK(tc_fun(_u3267, tc_HOL_Obool), _u3265), _u3269)) = c_Orderings_Obot__class_Obot(tc_fun(_u3267, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1924, plain, ( ( _u3264 = c_Orderings_Obot__class_Obot(tc_fun(_u3266, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3266, tc_fun(_u3268, tc_HOL_Obool)), _u3264), hAPP(c_COMBK(tc_fun(_u3268, tc_HOL_Obool), _u3266), _u3270)) = _u3270) )).
% 12.21/12.44 cnf(matrix-1925, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3271, tc_fun(_u3272, tc_HOL_Obool)), _u3273), hAPP(c_COMBK(tc_fun(_u3272, tc_HOL_Obool), _u3271), c_Orderings_Obot__class_Obot(tc_fun(_u3272, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3272, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1926, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u3280, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3282, tc_fun(_u3280, tc_HOL_Obool)), _u3284), _u3286)) | ~hBOOL(hAPP(hAPP(c_member(_u3282), _u3274), _u3284)) | ( hAPP(_u3286, _u3274) = c_Orderings_Obot__class_Obot(tc_fun(_u3280, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1927, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u3281, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3283, tc_fun(_u3281, tc_HOL_Obool)), _u3285), _u3287)) | hBOOL(hAPP(hAPP(c_member(_u3283), skolem52(_u3287, _u3285, _u3283, _u3281)), _u3285)) )).
% 12.21/12.44 cnf(matrix-1928, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u3281, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3283, tc_fun(_u3281, tc_HOL_Obool)), _u3285), _u3287)) | ( hAPP(_u3287, skolem52(_u3287, _u3285, _u3283, _u3281)) != c_Orderings_Obot__class_Obot(tc_fun(_u3281, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3295, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3297, tc_fun(_u3295, tc_HOL_Obool)), _u3299), _u3301)), _u3303)) | ~hBOOL(hAPP(hAPP(c_member(_u3297), _u3288), _u3299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3295, tc_HOL_Obool)), hAPP(_u3301, _u3288)), _u3303)) )).
% 12.21/12.44 cnf(matrix-1930, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3296, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3298, tc_fun(_u3296, tc_HOL_Obool)), _u3300), _u3302)), _u3304)) | hBOOL(hAPP(hAPP(c_member(_u3298), skolem53(_u3304, _u3302, _u3300, _u3298, _u3296)), _u3300)) )).
% 12.21/12.44 cnf(matrix-1931, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3296, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3298, tc_fun(_u3296, tc_HOL_Obool)), _u3300), _u3302)), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3296, tc_HOL_Obool)), hAPP(_u3302, skolem53(_u3304, _u3302, _u3300, _u3298, _u3296))), _u3304)) )).
% 12.21/12.44 cnf(matrix-1932, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3305, tc_fun(_u3306, tc_HOL_Obool)), _u3307), hAPP(hAPP(c_COMBB(_u3308, tc_fun(_u3306, tc_HOL_Obool), _u3305), _u3309), _u3310)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3308, tc_fun(_u3306, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3305, _u3308, _u3310), _u3307)), _u3309)) )).
% 12.21/12.44 cnf(matrix-1933, plain, ( ( hAPP(c_Set_Oimage(_u3311, _u3312, _u3313), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3314, tc_fun(_u3311, tc_HOL_Obool)), _u3315), _u3316)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3314, tc_fun(_u3312, tc_HOL_Obool)), _u3315), hAPP(hAPP(c_COMBB(tc_fun(_u3311, tc_HOL_Obool), tc_fun(_u3312, tc_HOL_Obool), _u3314), c_Set_Oimage(_u3311, _u3312, _u3313)), _u3316))) )).
% 12.21/12.44 cnf(matrix-1934, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3317, tc_fun(_u3318, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3319, _u3317, _u3320), _u3321)), _u3322) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3319, tc_fun(_u3318, tc_HOL_Obool)), _u3321), hAPP(hAPP(c_COMBB(_u3317, tc_fun(_u3318, tc_HOL_Obool), _u3319), _u3322), _u3320))) )).
% 12.21/12.44 cnf(matrix-1935, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3323, tc_fun(_u3324, tc_HOL_Obool)), _u3325), hAPP(hAPP(c_COMBS(_u3323, tc_fun(_u3324, tc_HOL_Obool), tc_fun(_u3324, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3324, tc_HOL_Obool), tc_fun(tc_fun(_u3324, tc_HOL_Obool), tc_fun(_u3324, tc_HOL_Obool)), _u3323), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3324, tc_HOL_Obool))), _u3326)), _u3327)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3324, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3323, tc_fun(_u3324, tc_HOL_Obool)), _u3325), _u3326)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3323, tc_fun(_u3324, tc_HOL_Obool)), _u3325), _u3327))) )).
% 12.21/12.44 cnf(matrix-1936, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3328, tc_fun(_u3329, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3328, tc_HOL_Obool)), _u3330), _u3331)), _u3332) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3329, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3328, tc_fun(_u3329, tc_HOL_Obool)), _u3330), _u3332)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3328, tc_fun(_u3329, tc_HOL_Obool)), _u3331), _u3332))) )).
% 12.21/12.44 cnf(matrix-1937, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3333, tc_fun(_u3334, tc_HOL_Obool)), _u3335), hAPP(hAPP(c_COMBB(tc_fun(_u3334, tc_HOL_Obool), tc_fun(_u3334, tc_HOL_Obool), _u3333), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3334, tc_HOL_Obool)), _u3336)), _u3337)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3334, tc_HOL_Obool)), _u3336), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3333, tc_fun(_u3334, tc_HOL_Obool)), _u3335), _u3337))) )).
% 12.21/12.44 cnf(matrix-1938, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3338, tc_fun(_u3339, tc_HOL_Obool)), _u3340), hAPP(hAPP(c_COMBC(_u3338, tc_fun(_u3339, tc_HOL_Obool), tc_fun(_u3339, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3339, tc_HOL_Obool), tc_fun(tc_fun(_u3339, tc_HOL_Obool), tc_fun(_u3339, tc_HOL_Obool)), _u3338), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3339, tc_HOL_Obool))), _u3341)), _u3342)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3339, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3338, tc_fun(_u3339, tc_HOL_Obool)), _u3340), _u3341)), _u3342)) )).
% 12.21/12.44 cnf(matrix-1939, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3343, tc_HOL_Obool)), _u3344), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3345, tc_fun(_u3343, tc_HOL_Obool)), _u3346), _u3347)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3345, tc_fun(_u3343, tc_HOL_Obool)), _u3346), hAPP(hAPP(c_COMBB(tc_fun(_u3343, tc_HOL_Obool), tc_fun(_u3343, tc_HOL_Obool), _u3345), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3343, tc_HOL_Obool)), _u3344)), _u3347))) )).
% 12.21/12.44 cnf(matrix-1940, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3348, tc_HOL_Obool)), _u3349), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3350, tc_fun(_u3348, tc_HOL_Obool)), _u3351), _u3352)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3350, tc_fun(_u3348, tc_HOL_Obool)), _u3351), hAPP(hAPP(c_COMBB(tc_fun(_u3348, tc_HOL_Obool), tc_fun(_u3348, tc_HOL_Obool), _u3350), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3348, tc_HOL_Obool)), _u3349)), _u3352))) )).
% 12.21/12.44 cnf(matrix-1941, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3353, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3354, tc_fun(_u3353, tc_HOL_Obool)), _u3355), _u3356)), _u3357) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3354, tc_fun(_u3353, tc_HOL_Obool)), _u3355), hAPP(hAPP(c_COMBC(_u3354, tc_fun(_u3353, tc_HOL_Obool), tc_fun(_u3353, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3353, tc_HOL_Obool), tc_fun(tc_fun(_u3353, tc_HOL_Obool), tc_fun(_u3353, tc_HOL_Obool)), _u3354), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3353, tc_HOL_Obool))), _u3356)), _u3357))) )).
% 12.21/12.44 cnf(matrix-1942, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3358, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3359, tc_fun(_u3358, tc_HOL_Obool)), _u3360), _u3361)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3362, tc_fun(_u3358, tc_HOL_Obool)), _u3363), _u3364)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3359, tc_fun(_u3358, tc_HOL_Obool)), _u3360), hAPP(hAPP(c_COMBB(tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool)), tc_fun(_u3358, tc_HOL_Obool), _u3359), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3362, tc_fun(_u3358, tc_HOL_Obool)), _u3363)), hAPP(hAPP(c_COMBC(_u3359, tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool)), tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u3358, tc_HOL_Obool), tc_fun(_u3358, tc_HOL_Obool)), tc_fun(tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool)), tc_fun(_u3362, tc_fun(_u3358, tc_HOL_Obool))), _u3359), c_COMBB(tc_fun(_u3358, tc_HOL_Obool), tc_fun(_u3358, tc_HOL_Obool), _u3362)), hAPP(hAPP(c_COMBB(tc_fun(_u3358, tc_HOL_Obool), tc_fun(tc_fun(_u3358, tc_HOL_Obool), tc_fun(_u3358, tc_HOL_Obool)), _u3359), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3358, tc_HOL_Obool))), _u3361))), _u3364)))) )).
% 12.21/12.44 cnf(matrix-1943, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3365) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3366, tc_fun(_u3367, _u3365)), _u3368), _u3369), _u3370) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3366, _u3365), _u3368), hAPP(hAPP(c_COMBC(_u3366, _u3367, _u3365), _u3369), _u3370))) )).
% 12.21/12.44 cnf(matrix-1944, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3371, tc_fun(_u3372, tc_HOL_Obool)), _u3373), hAPP(hAPP(c_COMBC(_u3371, tc_fun(_u3372, tc_HOL_Obool), tc_fun(_u3372, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3372, tc_HOL_Obool), tc_fun(tc_fun(_u3372, tc_HOL_Obool), tc_fun(_u3372, tc_HOL_Obool)), _u3371), c_Groups_Ominus__class_Ominus(tc_fun(_u3372, tc_HOL_Obool))), _u3374)), _u3375)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3372, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3371, tc_fun(_u3372, tc_HOL_Obool)), _u3373), _u3374)), _u3375)) )).
% 12.21/12.44 cnf(matrix-1945, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3376, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3377, tc_fun(_u3376, tc_HOL_Obool)), _u3378), _u3379)), _u3380) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3377, tc_fun(_u3376, tc_HOL_Obool)), _u3378), hAPP(hAPP(c_COMBC(_u3377, tc_fun(_u3376, tc_HOL_Obool), tc_fun(_u3376, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3376, tc_HOL_Obool), tc_fun(tc_fun(_u3376, tc_HOL_Obool), tc_fun(_u3376, tc_HOL_Obool)), _u3377), c_Groups_Ominus__class_Ominus(tc_fun(_u3376, tc_HOL_Obool))), _u3379)), _u3380))) )).
% 12.21/12.44 cnf(matrix-1946, plain, ( ( hAPP(c_Set_Ovimage(_u3381, _u3382, _u3383), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3384, tc_fun(_u3382, tc_HOL_Obool)), _u3385), _u3386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3384, tc_fun(_u3381, tc_HOL_Obool)), _u3385), hAPP(hAPP(c_COMBB(tc_fun(_u3382, tc_HOL_Obool), tc_fun(_u3381, tc_HOL_Obool), _u3384), c_Set_Ovimage(_u3381, _u3382, _u3383)), _u3386))) )).
% 12.21/12.44 cnf(matrix-1947, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3388, tc_HOL_Obool)), _u3389), _u3390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3387), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3388, _u3387), _u3389), _u3391)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3388, _u3387), _u3390), _u3391))) )).
% 12.21/12.44 cnf(matrix-1948, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3392) | ~hBOOL(hAPP(hAPP(c_member(_u3393), _u3394), _u3395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3392), hAPP(_u3396, _u3394)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3393, _u3392), _u3395), _u3396))) )).
% 12.21/12.44 cnf(matrix-1949, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3397), _u3398), _u3399)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3397, tc_fun(_u3400, tc_HOL_Obool)), _u3399), hAPP(hAPP(c_COMBB(tc_fun(_u3400, tc_HOL_Obool), tc_fun(_u3400, tc_HOL_Obool), _u3397), hAPP(c_Set_Oinsert(_u3400), _u3401)), _u3402)) = hAPP(hAPP(c_Set_Oinsert(_u3400), _u3401), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3397, tc_fun(_u3400, tc_HOL_Obool)), _u3399), _u3402))) )).
% 12.21/12.44 cnf(matrix-1950, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3403), _u3404), _u3405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3406, tc_HOL_Obool)), hAPP(_u3407, _u3404)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3403, tc_fun(_u3406, tc_HOL_Obool)), _u3405), _u3407))) )).
% 12.21/12.44 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3408), _u3409), _u3410)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3411, tc_HOL_Obool)), hAPP(_u3412, _u3409)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3408, tc_fun(_u3411, tc_HOL_Obool)), _u3410), _u3412)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3408, tc_fun(_u3411, tc_HOL_Obool)), _u3410), _u3412)) )).
% 12.21/12.44 cnf(matrix-1952, plain, ( ( _u3418 != c_Orderings_Obot__class_Obot(tc_fun(_u3420, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u3422), _u3424), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3420, tc_fun(_u3422, tc_HOL_Obool)), _u3418), _u3426)) = hAPP(hAPP(c_Set_Oinsert(_u3422), _u3424), c_Orderings_Obot__class_Obot(tc_fun(_u3422, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1953, plain, ( ( _u3419 = c_Orderings_Obot__class_Obot(tc_fun(_u3421, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u3423), _u3425), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3421, tc_fun(_u3423, tc_HOL_Obool)), _u3419), _u3427)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3421, tc_fun(_u3423, tc_HOL_Obool)), _u3419), hAPP(hAPP(c_COMBB(tc_fun(_u3423, tc_HOL_Obool), tc_fun(_u3423, tc_HOL_Obool), _u3421), hAPP(c_Set_Oinsert(_u3423), _u3425)), _u3427))) )).
% 12.21/12.44 cnf(matrix-1954, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3428, tc_fun(_u3428, tc_HOL_Obool)), _u3429), hAPP(hAPP(c_COMBC(_u3428, tc_fun(_u3428, tc_HOL_Obool), tc_fun(_u3428, tc_HOL_Obool)), c_Set_Oinsert(_u3428)), c_Orderings_Obot__class_Obot(tc_fun(_u3428, tc_HOL_Obool)))) = _u3429) )).
% 12.21/12.44 cnf(matrix-1955, plain, ( ( _u3435 != c_Orderings_Obot__class_Obot(tc_fun(_u3437, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3437, tc_fun(_u3439, tc_HOL_Obool)), _u3435), hAPP(hAPP(c_COMBB(tc_fun(_u3439, tc_HOL_Obool), tc_fun(_u3439, tc_HOL_Obool), _u3437), hAPP(c_Set_Oinsert(_u3439), _u3441)), _u3443)) = c_Orderings_Obot__class_Obot(tc_fun(_u3439, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1956, plain, ( ( _u3436 = c_Orderings_Obot__class_Obot(tc_fun(_u3438, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3438, tc_fun(_u3440, tc_HOL_Obool)), _u3436), hAPP(hAPP(c_COMBB(tc_fun(_u3440, tc_HOL_Obool), tc_fun(_u3440, tc_HOL_Obool), _u3438), hAPP(c_Set_Oinsert(_u3440), _u3442)), _u3444)) = hAPP(hAPP(c_Set_Oinsert(_u3440), _u3442), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3438, tc_fun(_u3440, tc_HOL_Obool)), _u3436), _u3444))) )).
% 12.21/12.44 cnf(matrix-1957, plain, ( ( _u3450 != c_Orderings_Obot__class_Obot(tc_fun(_u3452, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3452, tc_fun(_u3454, tc_HOL_Obool)), _u3450), hAPP(hAPP(c_COMBB(tc_fun(_u3454, tc_HOL_Obool), tc_fun(_u3454, tc_HOL_Obool), _u3452), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3454, tc_HOL_Obool)), _u3456)), _u3458)) = c_Orderings_Obot__class_Obot(tc_fun(_u3454, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1958, plain, ( ( _u3451 = c_Orderings_Obot__class_Obot(tc_fun(_u3453, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3453, tc_fun(_u3455, tc_HOL_Obool)), _u3451), hAPP(hAPP(c_COMBB(tc_fun(_u3455, tc_HOL_Obool), tc_fun(_u3455, tc_HOL_Obool), _u3453), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3455, tc_HOL_Obool)), _u3457)), _u3459)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3455, tc_HOL_Obool)), _u3457), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3453, tc_fun(_u3455, tc_HOL_Obool)), _u3451), _u3459))) )).
% 12.21/12.44 cnf(matrix-1959, plain, ( ( _u3465 != c_Orderings_Obot__class_Obot(tc_fun(_u3467, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3467, tc_fun(_u3469, tc_HOL_Obool)), _u3465), hAPP(hAPP(c_COMBC(_u3467, tc_fun(_u3469, tc_HOL_Obool), tc_fun(_u3469, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3469, tc_HOL_Obool), tc_fun(tc_fun(_u3469, tc_HOL_Obool), tc_fun(_u3469, tc_HOL_Obool)), _u3467), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3469, tc_HOL_Obool))), _u3471)), _u3473)) = c_Orderings_Obot__class_Obot(tc_fun(_u3469, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-1960, plain, ( ( _u3466 = c_Orderings_Obot__class_Obot(tc_fun(_u3468, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3468, tc_fun(_u3470, tc_HOL_Obool)), _u3466), hAPP(hAPP(c_COMBC(_u3468, tc_fun(_u3470, tc_HOL_Obool), tc_fun(_u3470, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3470, tc_HOL_Obool), tc_fun(tc_fun(_u3470, tc_HOL_Obool), tc_fun(_u3470, tc_HOL_Obool)), _u3468), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3470, tc_HOL_Obool))), _u3472)), _u3474)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3470, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3468, tc_fun(_u3470, tc_HOL_Obool)), _u3466), _u3472)), _u3474)) )).
% 12.21/12.44 cnf(matrix-1961, plain, ( ~c_Equiv__Relations_Oequiv(_u3477, _u3478, _u3479) | ~c_Equiv__Relations_Oequiv(_u3480, _u3481, _u3482) | ~c_Equiv__Relations_Ocongruent2(_u3477, _u3480, tc_fun(_u3483, tc_HOL_Obool), _u3479, _u3482, _u3484) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3477, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3477), _u3478), _u3479))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3480, tc_HOL_Obool)), _u3486), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3480), _u3481), _u3482))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3477, tc_fun(_u3483, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_COMBB(tc_fun(_u3480, tc_fun(_u3483, tc_HOL_Obool)), tc_fun(_u3483, tc_HOL_Obool), _u3477), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3480, tc_fun(_u3483, tc_HOL_Obool)), _u3486)), _u3484))), _u3487)) | hBOOL(hAPP(hAPP(c_member(_u3477), skolem54(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477)), _u3478)) )).
% 12.21/12.44 cnf(matrix-1962, plain, ( ~c_Equiv__Relations_Oequiv(_u3477, _u3478, _u3479) | ~c_Equiv__Relations_Oequiv(_u3480, _u3481, _u3482) | ~c_Equiv__Relations_Ocongruent2(_u3477, _u3480, tc_fun(_u3483, tc_HOL_Obool), _u3479, _u3482, _u3484) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3477, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3477), _u3478), _u3479))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3480, tc_HOL_Obool)), _u3486), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3480), _u3481), _u3482))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3477, tc_fun(_u3483, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_COMBB(tc_fun(_u3480, tc_fun(_u3483, tc_HOL_Obool)), tc_fun(_u3483, tc_HOL_Obool), _u3477), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3480, tc_fun(_u3483, tc_HOL_Obool)), _u3486)), _u3484))), _u3487)) | hBOOL(hAPP(hAPP(c_member(_u3480), skolem55(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477)), _u3481)) )).
% 12.21/12.44 cnf(matrix-1963, plain, ( ~c_Equiv__Relations_Oequiv(_u3477, _u3478, _u3479) | ~c_Equiv__Relations_Oequiv(_u3480, _u3481, _u3482) | ~c_Equiv__Relations_Ocongruent2(_u3477, _u3480, tc_fun(_u3483, tc_HOL_Obool), _u3479, _u3482, _u3484) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3477, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3477), _u3478), _u3479))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3480, tc_HOL_Obool)), _u3486), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3480), _u3481), _u3482))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3477, tc_fun(_u3483, tc_HOL_Obool)), _u3485), hAPP(hAPP(c_COMBB(tc_fun(_u3480, tc_fun(_u3483, tc_HOL_Obool)), tc_fun(_u3483, tc_HOL_Obool), _u3477), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3480, tc_fun(_u3483, tc_HOL_Obool)), _u3486)), _u3484))), _u3487)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3483, tc_HOL_Obool)), hAPP(hAPP(_u3484, skolem54(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477)), skolem55(_u3487, _u3486, _u3485, _u3484, _u3483, _u3482, _u3481, _u3480, _u3479, _u3478, _u3477))), _u3487)) )).
% 12.21/12.44 cnf(matrix-1964, plain, ( ~c_Equiv__Relations_Oequiv(_u3489, _u3490, _u3491) | ~c_Equiv__Relations_Ocongruent(_u3489, tc_fun(_u3492, tc_HOL_Obool), _u3491, _u3493) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3489, tc_HOL_Obool)), _u3494), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3489), _u3490), _u3491))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3492, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3489, tc_fun(_u3492, tc_HOL_Obool)), _u3494), _u3493)), _u3495)) | hBOOL(hAPP(hAPP(c_member(_u3489), skolem56(_u3495, _u3494, _u3493, _u3492, _u3491, _u3490, _u3489)), _u3490)) )).
% 12.21/12.44 cnf(matrix-1965, plain, ( ~c_Equiv__Relations_Oequiv(_u3489, _u3490, _u3491) | ~c_Equiv__Relations_Ocongruent(_u3489, tc_fun(_u3492, tc_HOL_Obool), _u3491, _u3493) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3489, tc_HOL_Obool)), _u3494), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3489), _u3490), _u3491))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3492, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3489, tc_fun(_u3492, tc_HOL_Obool)), _u3494), _u3493)), _u3495)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3492, tc_HOL_Obool)), hAPP(_u3493, skolem56(_u3495, _u3494, _u3493, _u3492, _u3491, _u3490, _u3489))), _u3495)) )).
% 12.21/12.44 cnf(matrix-1966, plain, ( ~c_Equiv__Relations_Oequiv(_u3496, _u3497, _u3498) | ~hBOOL(hAPP(hAPP(c_member(_u3496), _u3499), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3496, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3496, _u3496, _u3498), hAPP(hAPP(c_Set_Oinsert(_u3496), _u3500), c_Orderings_Obot__class_Obot(tc_fun(_u3496, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u3496, _u3496, _u3498), hAPP(hAPP(c_Set_Oinsert(_u3496), _u3501), c_Orderings_Obot__class_Obot(tc_fun(_u3496, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3496, _u3496)), hAPP(hAPP(c_Product__Type_OPair(_u3496, _u3496), _u3500), _u3501)), _u3498)) )).
% 12.21/12.44 cnf(matrix-1967, plain, ( ~c_Equiv__Relations_Oequiv(_u3502, _u3503, _u3504) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3502, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3502, _u3502, _u3504), hAPP(hAPP(c_Set_Oinsert(_u3502), _u3505), c_Orderings_Obot__class_Obot(tc_fun(_u3502, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u3502, _u3502, _u3504), hAPP(hAPP(c_Set_Oinsert(_u3502), _u3506), c_Orderings_Obot__class_Obot(tc_fun(_u3502, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3505), _u3503)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3502, _u3502)), hAPP(hAPP(c_Product__Type_OPair(_u3502, _u3502), _u3506), _u3505)), _u3504)) )).
% 12.21/12.44 cnf(matrix-1968, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3509, _u3510, hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512)), _u3513)) | ( hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512) = hAPP(hAPP(c_Set_Oinsert(_u3509), skolem57(_u3513, _u3512, _u3511, _u3510, _u3509)), skolem58(_u3513, _u3512, _u3511, _u3510, _u3509))) )).
% 12.21/12.44 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3509, _u3510, hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512)), _u3513)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3509, _u3509, _u3510, skolem57(_u3513, _u3512, _u3511, _u3510, _u3509), skolem58(_u3513, _u3512, _u3511, _u3510, _u3509)), _u3513)) )).
% 12.21/12.44 cnf(matrix-1970, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3509, _u3510, hAPP(hAPP(c_Set_Oinsert(_u3509), _u3511), _u3512)), _u3513)) | ~hBOOL(hAPP(hAPP(c_member(_u3509), skolem57(_u3513, _u3512, _u3511, _u3510, _u3509)), skolem58(_u3513, _u3512, _u3511, _u3510, _u3509))) )).
% 12.21/12.44 cnf(matrix-1971, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3523, _u3525, hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529)), _u3531)) | ( hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529) = hAPP(hAPP(c_Set_Oinsert(_u3523), skolem59(_u3531, _u3529, _u3527, _u3525, _u3523)), skolem60(_u3531, _u3529, _u3527, _u3525, _u3523))) )).
% 12.21/12.44 cnf(matrix-1972, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3523, _u3525, hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529)), _u3531)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3523, _u3523, _u3525, skolem59(_u3531, _u3529, _u3527, _u3525, _u3523), skolem60(_u3531, _u3529, _u3527, _u3525, _u3523)), _u3531)) )).
% 12.21/12.44 cnf(matrix-1973, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3523, _u3525, hAPP(hAPP(c_Set_Oinsert(_u3523), _u3527), _u3529)), _u3531)) | ~hBOOL(hAPP(hAPP(c_member(_u3523), skolem59(_u3531, _u3529, _u3527, _u3525, _u3523)), skolem60(_u3531, _u3529, _u3527, _u3525, _u3523))) )).
% 12.21/12.44 cnf(matrix-1974, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u3524), _u3528), _u3530) != hAPP(hAPP(c_Set_Oinsert(_u3524), _u3517), _u3516)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3524, _u3524, _u3526, _u3517, _u3516), _u3532)) | hBOOL(hAPP(hAPP(c_member(_u3524), _u3517), _u3516)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u3524, _u3526, hAPP(hAPP(c_Set_Oinsert(_u3524), _u3528), _u3530)), _u3532)) )).
% 12.21/12.44 cnf(matrix-1975, plain, ( ~c_Equiv__Relations_Oequiv(_u3533, _u3534, _u3535) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3536), _u3534)) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3537), _u3534)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3536), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3537), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3533, _u3533)), hAPP(hAPP(c_Product__Type_OPair(_u3533, _u3533), _u3536), _u3537)), _u3535)) )).
% 12.21/12.44 cnf(matrix-1976, plain, ( ~c_Equiv__Relations_Oequiv(_u3533, _u3534, _u3535) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3536), _u3534)) | ~hBOOL(hAPP(hAPP(c_member(_u3533), _u3537), _u3534)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3533, _u3533)), hAPP(hAPP(c_Product__Type_OPair(_u3533, _u3533), _u3536), _u3537)), _u3535)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3536), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3533), hAPP(hAPP(c_Set_Oinsert(_u3533), _u3537), c_Orderings_Obot__class_Obot(tc_fun(_u3533, tc_HOL_Obool)))), _u3535)) )).
% 12.21/12.44 cnf(matrix-1977, plain, ( ~c_Equiv__Relations_Oequiv(_u3538, _u3539, _u3540) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3538, _u3538)), hAPP(hAPP(c_Product__Type_OPair(_u3538, _u3538), _u3541), _u3542)), _u3540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3538, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3538, _u3538, _u3540), hAPP(hAPP(c_Set_Oinsert(_u3538), _u3541), c_Orderings_Obot__class_Obot(tc_fun(_u3538, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u3538, _u3538, _u3540), hAPP(hAPP(c_Set_Oinsert(_u3538), _u3542), c_Orderings_Obot__class_Obot(tc_fun(_u3538, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-1978, plain, ( ( c_Map_Odom(_u3549, _u3551, _u3553) != hAPP(hAPP(c_Set_Oinsert(_u3549), _u3555), c_Orderings_Obot__class_Obot(tc_fun(_u3549, tc_HOL_Obool)))) | ( _u3553 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3549, tc_Option_Ooption(_u3551)), hAPP(c_COMBK(tc_Option_Ooption(_u3551), _u3549), c_Option_Ooption_ONone(_u3551))), _u3555), hAPP(c_Option_Ooption_OSome(_u3551), skolem61(_u3555, _u3553, _u3551, _u3549)))) )).
% 12.21/12.44 cnf(matrix-1979, plain, ( ( _u3554 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3550, tc_Option_Ooption(_u3552)), hAPP(c_COMBK(tc_Option_Ooption(_u3552), _u3550), c_Option_Ooption_ONone(_u3552))), _u3556), hAPP(c_Option_Ooption_OSome(_u3552), _u3544))) | ( c_Map_Odom(_u3550, _u3552, _u3554) = hAPP(hAPP(c_Set_Oinsert(_u3550), _u3556), c_Orderings_Obot__class_Obot(tc_fun(_u3550, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1980, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3557), _u3558), _u3559)) | ~hBOOL(hAPP(hAPP(hAPP(_u3560, _u3558), _u3561), _u3562)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3557, tc_fun(_u3563, tc_fun(_u3564, tc_HOL_Obool))), _u3559), _u3560), _u3561), _u3562)) )).
% 12.21/12.44 cnf(matrix-1981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_fun(_u3571, tc_HOL_Obool))), _u3573), _u3575)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3569, _u3571)), hAPP(hAPP(c_Product__Type_OPair(_u3569, _u3571), _u3573), _u3575)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3569, _u3571), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-1982, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3570, _u3572)), hAPP(hAPP(c_Product__Type_OPair(_u3570, _u3572), _u3574), _u3576)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3570, _u3572), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u3570, tc_fun(_u3572, tc_HOL_Obool))), _u3574), _u3576)) )).
% 12.21/12.44 cnf(matrix-1983, plain, ( ( _u3585 = _u3587) | ( hAPP(hAPP(c_COMBC(_u3581, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), _u3581), c_COMBC(_u3583, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_prod(_u3581, _u3583)), tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), _u3581), hAPP(c_COMBB(tc_prod(_u3581, _u3583), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool), _u3583), c_member(tc_prod(_u3581, _u3583)))), c_Product__Type_OPair(_u3581, _u3583)))), _u3585) != hAPP(hAPP(c_COMBC(_u3581, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_fun(_u3583, tc_HOL_Obool)), _u3581), c_COMBC(_u3583, tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3583, tc_prod(_u3581, _u3583)), tc_fun(_u3583, tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool)), _u3581), hAPP(c_COMBB(tc_prod(_u3581, _u3583), tc_fun(tc_fun(tc_prod(_u3581, _u3583), tc_HOL_Obool), tc_HOL_Obool), _u3583), c_member(tc_prod(_u3581, _u3583)))), c_Product__Type_OPair(_u3581, _u3583)))), _u3587)) )).
% 12.21/12.44 cnf(matrix-1984, plain, ( ( _u3586 != _u3588) | ( hAPP(hAPP(c_COMBC(_u3582, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), _u3582), c_COMBC(_u3584, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_prod(_u3582, _u3584)), tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), _u3582), hAPP(c_COMBB(tc_prod(_u3582, _u3584), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool), _u3584), c_member(tc_prod(_u3582, _u3584)))), c_Product__Type_OPair(_u3582, _u3584)))), _u3586) = hAPP(hAPP(c_COMBC(_u3582, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_fun(_u3584, tc_HOL_Obool)), _u3582), c_COMBC(_u3584, tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3584, tc_prod(_u3582, _u3584)), tc_fun(_u3584, tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool)), _u3582), hAPP(c_COMBB(tc_prod(_u3582, _u3584), tc_fun(tc_fun(tc_prod(_u3582, _u3584), tc_HOL_Obool), tc_HOL_Obool), _u3584), c_member(tc_prod(_u3582, _u3584)))), c_Product__Type_OPair(_u3582, _u3584)))), _u3588)) )).
% 12.21/12.44 cnf(matrix-1985, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3595, tc_fun(_u3597, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3595, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), _u3595), c_COMBC(_u3597, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_prod(_u3595, _u3597)), tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), _u3595), hAPP(c_COMBB(tc_prod(_u3595, _u3597), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool), _u3597), c_member(tc_prod(_u3595, _u3597)))), c_Product__Type_OPair(_u3595, _u3597)))), _u3599)), hAPP(hAPP(c_COMBC(_u3595, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_fun(_u3597, tc_HOL_Obool)), _u3595), c_COMBC(_u3597, tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3597, tc_prod(_u3595, _u3597)), tc_fun(_u3597, tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool)), _u3595), hAPP(c_COMBB(tc_prod(_u3595, _u3597), tc_fun(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool), tc_HOL_Obool), _u3597), c_member(tc_prod(_u3595, _u3597)))), c_Product__Type_OPair(_u3595, _u3597)))), _u3601)), _u3603), _u3605)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3595, _u3597)), hAPP(hAPP(c_Product__Type_OPair(_u3595, _u3597), _u3603), _u3605)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u3595, _u3597), tc_HOL_Obool)), _u3599), _u3601))) )).
% 12.21/12.44 cnf(matrix-1986, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3596, _u3598)), hAPP(hAPP(c_Product__Type_OPair(_u3596, _u3598), _u3604), _u3606)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool)), _u3600), _u3602))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3596, tc_fun(_u3598, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3596, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), _u3596), c_COMBC(_u3598, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_prod(_u3596, _u3598)), tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), _u3596), hAPP(c_COMBB(tc_prod(_u3596, _u3598), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool), _u3598), c_member(tc_prod(_u3596, _u3598)))), c_Product__Type_OPair(_u3596, _u3598)))), _u3600)), hAPP(hAPP(c_COMBC(_u3596, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_fun(_u3598, tc_HOL_Obool)), _u3596), c_COMBC(_u3598, tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3598, tc_prod(_u3596, _u3598)), tc_fun(_u3598, tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool)), _u3596), hAPP(c_COMBB(tc_prod(_u3596, _u3598), tc_fun(tc_fun(tc_prod(_u3596, _u3598), tc_HOL_Obool), tc_HOL_Obool), _u3598), c_member(tc_prod(_u3596, _u3598)))), c_Product__Type_OPair(_u3596, _u3598)))), _u3602)), _u3604), _u3606)) )).
% 12.21/12.44 cnf(matrix-1987, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3613, tc_fun(_u3615, tc_fun(_u3617, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3613, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_fun(_u3615, tc_fun(_u3617, tc_HOL_Obool)), _u3613), hAPP(c_COMBC(_u3615, tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_fun(_u3617, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3617, tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_fun(_u3617, tc_HOL_Obool)), _u3615), c_COMBC(_u3617, tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3617, tc_prod(_u3615, _u3617)), tc_fun(_u3617, tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool)), _u3615), hAPP(c_COMBB(tc_prod(_u3615, _u3617), tc_fun(tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool), tc_HOL_Obool), _u3617), c_member(tc_prod(_u3615, _u3617)))), c_Product__Type_OPair(_u3615, _u3617))))), _u3619)), _u3621), _u3623)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3615, _u3617)), hAPP(hAPP(c_Product__Type_OPair(_u3615, _u3617), _u3621), _u3623)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3613, tc_fun(tc_prod(_u3615, _u3617), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3613, tc_HOL_Obool))), _u3619))) )).
% 12.21/12.44 cnf(matrix-1988, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3616, _u3618)), hAPP(hAPP(c_Product__Type_OPair(_u3616, _u3618), _u3622), _u3624)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3614, tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3614, tc_HOL_Obool))), _u3620))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3614, tc_fun(_u3616, tc_fun(_u3618, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3614, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_fun(_u3616, tc_fun(_u3618, tc_HOL_Obool)), _u3614), hAPP(c_COMBC(_u3616, tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_fun(_u3618, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3618, tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_fun(_u3618, tc_HOL_Obool)), _u3616), c_COMBC(_u3618, tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3618, tc_prod(_u3616, _u3618)), tc_fun(_u3618, tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool)), _u3616), hAPP(c_COMBB(tc_prod(_u3616, _u3618), tc_fun(tc_fun(tc_prod(_u3616, _u3618), tc_HOL_Obool), tc_HOL_Obool), _u3618), c_member(tc_prod(_u3616, _u3618)))), c_Product__Type_OPair(_u3616, _u3618))))), _u3620)), _u3622), _u3624)) )).
% 12.21/12.44 cnf(matrix-1989, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3632, tc_Option_Ooption(_u3634)), _u3636), _u3638), hAPP(c_Option_Ooption_OSome(_u3634), _u3640)), _u3642) != hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) | ( _u3642 = _u3638) | ( hAPP(_u3636, _u3642) = hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) )).
% 12.21/12.44 cnf(matrix-1990, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3632, tc_Option_Ooption(_u3634)), _u3636), _u3638), hAPP(c_Option_Ooption_OSome(_u3634), _u3640)), _u3642) != hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) | ( _u3640 = _u3644) | ( _u3642 != _u3638) )).
% 12.21/12.44 cnf(matrix-1991, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3632, tc_Option_Ooption(_u3634)), _u3636), _u3638), hAPP(c_Option_Ooption_OSome(_u3634), _u3640)), _u3642) != hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) | ( _u3640 = _u3644) | ( hAPP(_u3636, _u3642) = hAPP(c_Option_Ooption_OSome(_u3634), _u3644)) )).
% 12.21/12.44 cnf(matrix-1992, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3633, tc_Option_Ooption(_u3635)), _u3637), _u3639), hAPP(c_Option_Ooption_OSome(_u3635), _u3641)), _u3643) = hAPP(c_Option_Ooption_OSome(_u3635), _u3645)) | ( _u3643 != _u3639) | ( _u3641 != _u3645) )).
% 12.21/12.44 cnf(matrix-1993, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3633, tc_Option_Ooption(_u3635)), _u3637), _u3639), hAPP(c_Option_Ooption_OSome(_u3635), _u3641)), _u3643) = hAPP(c_Option_Ooption_OSome(_u3635), _u3645)) | ( _u3643 = _u3639) | ( hAPP(_u3637, _u3643) != hAPP(c_Option_Ooption_OSome(_u3635), _u3645)) )).
% 12.21/12.44 cnf(matrix-1994, plain, ( ( hAPP(_u3646, _u3647) != hAPP(c_Option_Ooption_OSome(_u3648), _u3649)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3650, tc_Option_Ooption(_u3648)), _u3646), _u3647), hAPP(c_Option_Ooption_OSome(_u3648), _u3649)) = _u3646) )).
% 12.21/12.44 cnf(matrix-1995, plain, ( ( _u3655 = _u3657) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3651, tc_Option_Ooption(_u3652)), _u3653), _u3654), hAPP(c_Option_Ooption_OSome(_u3652), _u3655)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3651, tc_Option_Ooption(_u3652)), _u3656), _u3654), hAPP(c_Option_Ooption_OSome(_u3652), _u3657))) )).
% 12.21/12.44 cnf(matrix-1996, plain, ( ~c_Equiv__Relations_Ocongruent(_u3658, _u3659, _u3660, _u3661) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3658, _u3658)), hAPP(hAPP(c_Product__Type_OPair(_u3658, _u3658), _u3662), _u3663)), _u3660)) | ( hAPP(_u3661, _u3662) = hAPP(_u3661, _u3663)) )).
% 12.21/12.44 cnf(matrix-1997, plain, ( ~c_Equiv__Relations_Ocongruent2(_u3664, _u3665, _u3666, _u3667, _u3668, _u3669) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3664, _u3664)), hAPP(hAPP(c_Product__Type_OPair(_u3664, _u3664), _u3670), _u3671)), _u3667)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3665, _u3665)), hAPP(hAPP(c_Product__Type_OPair(_u3665, _u3665), _u3672), _u3673)), _u3668)) | ( hAPP(hAPP(_u3669, _u3670), _u3672) = hAPP(hAPP(_u3669, _u3671), _u3673)) )).
% 12.21/12.44 cnf(matrix-1998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3678, tc_fun(_u3680, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3678, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), _u3678), c_COMBC(_u3680, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_prod(_u3678, _u3680)), tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), _u3678), hAPP(c_COMBB(tc_prod(_u3678, _u3680), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool), _u3680), c_member(tc_prod(_u3678, _u3680)))), c_Product__Type_OPair(_u3678, _u3680)))), _u3682)), hAPP(hAPP(c_COMBC(_u3678, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_fun(_u3680, tc_HOL_Obool)), _u3678), c_COMBC(_u3680, tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3680, tc_prod(_u3678, _u3680)), tc_fun(_u3680, tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool)), _u3678), hAPP(c_COMBB(tc_prod(_u3678, _u3680), tc_fun(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool), tc_HOL_Obool), _u3680), c_member(tc_prod(_u3678, _u3680)))), c_Product__Type_OPair(_u3678, _u3680)))), _u3684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u3678, _u3680), tc_HOL_Obool)), _u3682), _u3684)) )).
% 12.21/12.44 cnf(matrix-1999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool)), _u3683), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3679, tc_fun(_u3681, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3679, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), _u3679), c_COMBC(_u3681, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_prod(_u3679, _u3681)), tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), _u3679), hAPP(c_COMBB(tc_prod(_u3679, _u3681), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool), _u3681), c_member(tc_prod(_u3679, _u3681)))), c_Product__Type_OPair(_u3679, _u3681)))), _u3683)), hAPP(hAPP(c_COMBC(_u3679, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_fun(_u3681, tc_HOL_Obool)), _u3679), c_COMBC(_u3681, tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3681, tc_prod(_u3679, _u3681)), tc_fun(_u3681, tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool)), _u3679), hAPP(c_COMBB(tc_prod(_u3679, _u3681), tc_fun(tc_fun(tc_prod(_u3679, _u3681), tc_HOL_Obool), tc_HOL_Obool), _u3681), c_member(tc_prod(_u3679, _u3681)))), c_Product__Type_OPair(_u3679, _u3681)))), _u3685))) )).
% 12.21/12.44 cnf(matrix-2000, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3692, tc_fun(_u3694, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3692, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), _u3692), c_COMBC(_u3694, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_prod(_u3692, _u3694)), tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), _u3692), hAPP(c_COMBB(tc_prod(_u3692, _u3694), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool), _u3694), c_member(tc_prod(_u3692, _u3694)))), c_Product__Type_OPair(_u3692, _u3694)))), _u3696)), hAPP(hAPP(c_COMBC(_u3692, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_fun(_u3694, tc_HOL_Obool)), _u3692), c_COMBC(_u3694, tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3694, tc_prod(_u3692, _u3694)), tc_fun(_u3694, tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool)), _u3692), hAPP(c_COMBB(tc_prod(_u3692, _u3694), tc_fun(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool), tc_HOL_Obool), _u3694), c_member(tc_prod(_u3692, _u3694)))), c_Product__Type_OPair(_u3692, _u3694)))), _u3698)), _u3700), _u3702)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3692, _u3694)), hAPP(hAPP(c_Product__Type_OPair(_u3692, _u3694), _u3700), _u3702)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u3692, _u3694), tc_HOL_Obool)), _u3696), _u3698))) )).
% 12.21/12.44 cnf(matrix-2001, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3693, _u3695)), hAPP(hAPP(c_Product__Type_OPair(_u3693, _u3695), _u3701), _u3703)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool)), _u3697), _u3699))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3693, tc_fun(_u3695, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3693, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), _u3693), c_COMBC(_u3695, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_prod(_u3693, _u3695)), tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), _u3693), hAPP(c_COMBB(tc_prod(_u3693, _u3695), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool), _u3695), c_member(tc_prod(_u3693, _u3695)))), c_Product__Type_OPair(_u3693, _u3695)))), _u3697)), hAPP(hAPP(c_COMBC(_u3693, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_fun(_u3695, tc_HOL_Obool)), _u3693), c_COMBC(_u3695, tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3695, tc_prod(_u3693, _u3695)), tc_fun(_u3695, tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool)), _u3693), hAPP(c_COMBB(tc_prod(_u3693, _u3695), tc_fun(tc_fun(tc_prod(_u3693, _u3695), tc_HOL_Obool), tc_HOL_Obool), _u3695), c_member(tc_prod(_u3693, _u3695)))), c_Product__Type_OPair(_u3693, _u3695)))), _u3699)), _u3701), _u3703)) )).
% 12.21/12.44 cnf(matrix-2002, plain, ( ~class_Enum_Oenum(_u3704) | ~class_Enum_Oenum(_u3705) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u3705, _u3704)), _u3706)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3705), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_HOL_Obool), tc_HOL_Obool, _u3705), c_Enum_Oenum__class_Oenum__all(_u3704)), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_prod(_u3705, _u3704)), tc_fun(_u3704, tc_HOL_Obool), _u3705), hAPP(c_COMBB(tc_prod(_u3705, _u3704), tc_HOL_Obool, _u3704), _u3706)), c_Product__Type_OPair(_u3705, _u3704))))) )).
% 12.21/12.44 cnf(matrix-2003, plain, ( ~class_Enum_Oenum(_u3704) | ~class_Enum_Oenum(_u3705) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3705), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_HOL_Obool), tc_HOL_Obool, _u3705), c_Enum_Oenum__class_Oenum__all(_u3704)), hAPP(hAPP(c_COMBB(tc_fun(_u3704, tc_prod(_u3705, _u3704)), tc_fun(_u3704, tc_HOL_Obool), _u3705), hAPP(c_COMBB(tc_prod(_u3705, _u3704), tc_HOL_Obool, _u3704), _u3706)), c_Product__Type_OPair(_u3705, _u3704))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u3705, _u3704)), _u3706)) )).
% 12.21/12.44 cnf(matrix-2004, plain, ( ~class_Enum_Oenum(_u3707) | ~class_Enum_Oenum(_u3708) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u3708, _u3707)), _u3709)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3708), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_HOL_Obool), tc_HOL_Obool, _u3708), c_Enum_Oenum__class_Oenum__ex(_u3707)), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_prod(_u3708, _u3707)), tc_fun(_u3707, tc_HOL_Obool), _u3708), hAPP(c_COMBB(tc_prod(_u3708, _u3707), tc_HOL_Obool, _u3707), _u3709)), c_Product__Type_OPair(_u3708, _u3707))))) )).
% 12.21/12.44 cnf(matrix-2005, plain, ( ~class_Enum_Oenum(_u3707) | ~class_Enum_Oenum(_u3708) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3708), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_HOL_Obool), tc_HOL_Obool, _u3708), c_Enum_Oenum__class_Oenum__ex(_u3707)), hAPP(hAPP(c_COMBB(tc_fun(_u3707, tc_prod(_u3708, _u3707)), tc_fun(_u3707, tc_HOL_Obool), _u3708), hAPP(c_COMBB(tc_prod(_u3708, _u3707), tc_HOL_Obool, _u3707), _u3709)), c_Product__Type_OPair(_u3708, _u3707))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u3708, _u3707)), _u3709)) )).
% 12.21/12.44 cnf(matrix-2006, plain, ( ( hAPP(_u3710, _u3711) != hAPP(c_Option_Ooption_OSome(_u3712), _u3713)) | hBOOL(hAPP(hAPP(c_member(_u3714), _u3711), c_Map_Odom(_u3714, _u3712, _u3710))) )).
% 12.21/12.44 cnf(matrix-2007, plain, ( hBOOL(hAPP(hAPP(c_member(_u3715), _u3716), _u3717)) | ( hAPP(c_Set_Oimage(_u3715, tc_Option_Ooption(_u3718), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3715, tc_Option_Ooption(_u3718)), _u3719), _u3716), hAPP(c_Option_Ooption_OSome(_u3718), _u3720))), _u3717) = hAPP(c_Set_Oimage(_u3715, tc_Option_Ooption(_u3718), _u3719), _u3717)) )).
% 12.21/12.44 cnf(matrix-2008, plain, ( ( hAPP(_u3721, _u3722) != hAPP(c_Option_Ooption_OSome(_u3723), _u3724)) | ( hAPP(hAPP(c_Set_Oinsert(_u3725), _u3722), c_Map_Odom(_u3725, _u3723, _u3721)) = c_Map_Odom(_u3725, _u3723, _u3721)) )).
% 12.21/12.44 cnf(matrix-2009, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3726), _u3727), _u3728)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3726, _u3729)), hAPP(hAPP(c_Product__Type_OPair(_u3726, _u3729), _u3727), _u3730)), _u3731)) | hBOOL(hAPP(hAPP(c_member(_u3729), _u3730), hAPP(c_Relation_OImage(_u3726, _u3729, _u3731), _u3728))) )).
% 12.21/12.44 cnf(matrix-2010, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3739), _u3741), hAPP(c_Relation_OImage(_u3743, _u3739, _u3745), _u3747))) | hBOOL(hAPP(hAPP(c_member(_u3743), skolem62(_u3747, _u3745, _u3743, _u3741, _u3739)), _u3747)) )).
% 12.21/12.44 cnf(matrix-2011, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3739), _u3741), hAPP(c_Relation_OImage(_u3743, _u3739, _u3745), _u3747))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3743, _u3739)), hAPP(hAPP(c_Product__Type_OPair(_u3743, _u3739), skolem62(_u3747, _u3745, _u3743, _u3741, _u3739)), _u3741)), _u3745)) )).
% 12.21/12.44 cnf(matrix-2012, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3744), _u3733), _u3748)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3744, _u3740)), hAPP(hAPP(c_Product__Type_OPair(_u3744, _u3740), _u3733), _u3742)), _u3746)) | hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Relation_OImage(_u3744, _u3740, _u3746), _u3748))) )).
% 12.21/12.44 cnf(matrix-2013, plain, ( ( c_Map_Odom(_u3749, _u3750, hAPP(hAPP(c_COMBB(_u3750, tc_Option_Ooption(_u3750), _u3749), c_Option_Ooption_OSome(_u3750)), _u3751)) = c_Orderings_Otop__class_Otop(tc_fun(_u3749, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2014, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3752, tc_Option_Ooption(_u3753)), _u3754), _u3755), hAPP(c_Option_Ooption_OSome(_u3753), _u3756)) != hAPP(c_COMBK(tc_Option_Ooption(_u3753), _u3752), c_Option_Ooption_ONone(_u3753))) )).
% 12.21/12.44 cnf(matrix-2015, plain, ( ~class_Enum_Oenum(_u3757) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3757)), _u3758)) | hBOOL(hAPP(_u3758, c_Option_Ooption_ONone(_u3757))) )).
% 12.21/12.44 cnf(matrix-2016, plain, ( ~class_Enum_Oenum(_u3757) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3757)), _u3758)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3757), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3757), tc_HOL_Obool, _u3757), _u3758), c_Option_Ooption_OSome(_u3757)))) )).
% 12.21/12.44 cnf(matrix-2017, plain, ( ~class_Enum_Oenum(_u3757) | ~hBOOL(hAPP(_u3758, c_Option_Ooption_ONone(_u3757))) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3757), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3757), tc_HOL_Obool, _u3757), _u3758), c_Option_Ooption_OSome(_u3757)))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3757)), _u3758)) )).
% 12.21/12.44 cnf(matrix-2018, plain, ( ~class_Enum_Oenum(_u3759) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3759)), _u3760)) | hBOOL(hAPP(_u3760, c_Option_Ooption_ONone(_u3759))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3759), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3759), tc_HOL_Obool, _u3759), _u3760), c_Option_Ooption_OSome(_u3759)))) )).
% 12.21/12.44 cnf(matrix-2019, plain, ( ~class_Enum_Oenum(_u3759) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3759)), _u3760)) | ~hBOOL(hAPP(_u3760, c_Option_Ooption_ONone(_u3759))) )).
% 12.21/12.44 cnf(matrix-2020, plain, ( ~class_Enum_Oenum(_u3759) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3759)), _u3760)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3759), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3759), tc_HOL_Obool, _u3759), _u3760), c_Option_Ooption_OSome(_u3759)))) )).
% 12.21/12.44 cnf(matrix-2021, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3766), _u3768), hAPP(c_Relation_OImage(_u3770, _u3766, _u3772), hAPP(hAPP(c_Set_Oinsert(_u3770), _u3774), c_Orderings_Obot__class_Obot(tc_fun(_u3770, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3770, _u3766)), hAPP(hAPP(c_Product__Type_OPair(_u3770, _u3766), _u3774), _u3768)), _u3772)) )).
% 12.21/12.44 cnf(matrix-2022, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3771, _u3767)), hAPP(hAPP(c_Product__Type_OPair(_u3771, _u3767), _u3775), _u3769)), _u3773)) | hBOOL(hAPP(hAPP(c_member(_u3767), _u3769), hAPP(c_Relation_OImage(_u3771, _u3767, _u3773), hAPP(hAPP(c_Set_Oinsert(_u3771), _u3775), c_Orderings_Obot__class_Obot(tc_fun(_u3771, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-2023, plain, ( ~c_Equiv__Relations_Oequiv(_u3776, _u3777, _u3778) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3776, _u3776)), hAPP(hAPP(c_Product__Type_OPair(_u3776, _u3776), _u3779), _u3780)), _u3778)) | ( hAPP(c_Relation_OImage(_u3776, _u3776, _u3778), hAPP(hAPP(c_Set_Oinsert(_u3776), _u3779), c_Orderings_Obot__class_Obot(tc_fun(_u3776, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u3776, _u3776, _u3778), hAPP(hAPP(c_Set_Oinsert(_u3776), _u3780), c_Orderings_Obot__class_Obot(tc_fun(_u3776, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2024, plain, ( ~c_Equiv__Relations_Oequiv(_u3781, _u3782, _u3783) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3781, tc_HOL_Obool)), _u3784), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3781), _u3782), _u3783))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3781, tc_HOL_Obool)), _u3785), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3781), _u3782), _u3783))) | ~hBOOL(hAPP(hAPP(c_member(_u3781), _u3786), _u3784)) | ~hBOOL(hAPP(hAPP(c_member(_u3781), _u3787), _u3785)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3781, _u3781)), hAPP(hAPP(c_Product__Type_OPair(_u3781, _u3781), _u3786), _u3787)), _u3783)) | ( _u3784 = _u3785) )).
% 12.21/12.44 cnf(matrix-2025, plain, ( ~c_Equiv__Relations_Oequiv(_u3788, _u3789, _u3790) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3791), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3792), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3793), _u3791)) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3794), _u3792)) | ( _u3791 != _u3792) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3788, _u3788)), hAPP(hAPP(c_Product__Type_OPair(_u3788, _u3788), _u3793), _u3794)), _u3790)) )).
% 12.21/12.44 cnf(matrix-2026, plain, ( ~c_Equiv__Relations_Oequiv(_u3788, _u3789, _u3790) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3791), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3788, tc_HOL_Obool)), _u3792), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3788), _u3789), _u3790))) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3793), _u3791)) | ~hBOOL(hAPP(hAPP(c_member(_u3788), _u3794), _u3792)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3788, _u3788)), hAPP(hAPP(c_Product__Type_OPair(_u3788, _u3788), _u3793), _u3794)), _u3790)) | ( _u3791 = _u3792) )).
% 12.21/12.44 cnf(matrix-2027, plain, ( ( hAPP(c_Relation_OImage(_u3795, _u3796, _u3797), hAPP(hAPP(c_Set_Oinsert(_u3795), _u3798), c_Orderings_Obot__class_Obot(tc_fun(_u3795, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u3796), hAPP(hAPP(c_COMBC(_u3796, tc_fun(tc_prod(_u3795, _u3796), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u3795, _u3796), tc_fun(tc_fun(tc_prod(_u3795, _u3796), tc_HOL_Obool), tc_HOL_Obool), _u3796), c_member(tc_prod(_u3795, _u3796))), hAPP(c_Product__Type_OPair(_u3795, _u3796), _u3798))), _u3797))) )).
% 12.21/12.44 cnf(matrix-2028, plain, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) | ( hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3802), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3803), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2029, plain, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3802), _u3800)) )).
% 12.21/12.44 cnf(matrix-2030, plain, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3803), _u3800)) )).
% 12.21/12.44 cnf(matrix-2031, plain, ( ~c_Equiv__Relations_Oequiv(_u3799, _u3800, _u3801) | ( hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3802), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u3799, _u3799, _u3801), hAPP(hAPP(c_Set_Oinsert(_u3799), _u3803), c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u3799), _u3802), _u3800)) | ~hBOOL(hAPP(hAPP(c_member(_u3799), _u3803), _u3800)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3799, _u3799)), hAPP(hAPP(c_Product__Type_OPair(_u3799, _u3799), _u3802), _u3803)), _u3801)) )).
% 12.21/12.44 cnf(matrix-2032, plain, ( ~c_Equiv__Relations_Oequiv(_u3804, _u3805, _u3806) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3807), _u3805)) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3808), _u3805)) | ( hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3807), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3808), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3804, _u3804)), hAPP(hAPP(c_Product__Type_OPair(_u3804, _u3804), _u3807), _u3808)), _u3806)) )).
% 12.21/12.44 cnf(matrix-2033, plain, ( ~c_Equiv__Relations_Oequiv(_u3804, _u3805, _u3806) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3807), _u3805)) | ~hBOOL(hAPP(hAPP(c_member(_u3804), _u3808), _u3805)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3804, _u3804)), hAPP(hAPP(c_Product__Type_OPair(_u3804, _u3804), _u3807), _u3808)), _u3806)) | ( hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3807), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u3804, _u3804, _u3806), hAPP(hAPP(c_Set_Oinsert(_u3804), _u3808), c_Orderings_Obot__class_Obot(tc_fun(_u3804, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2034, plain, ( ( hAPP(c_Relation_OImage(_u3809, _u3809, _u3810), hAPP(hAPP(c_Set_Oinsert(_u3809), _u3811), c_Orderings_Obot__class_Obot(tc_fun(_u3809, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u3809, _u3809, _u3810), hAPP(hAPP(c_Set_Oinsert(_u3809), _u3812), c_Orderings_Obot__class_Obot(tc_fun(_u3809, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u3809, _u3813, _u3810) | ~hBOOL(hAPP(hAPP(c_member(_u3809), _u3812), _u3813)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3809, _u3809)), hAPP(hAPP(c_Product__Type_OPair(_u3809, _u3809), _u3811), _u3812)), _u3810)) )).
% 12.21/12.44 cnf(matrix-2035, plain, ( ~c_Nitpick_Orefl_H(_u3818, _u3820) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3818, _u3818)), hAPP(hAPP(c_Product__Type_OPair(_u3818, _u3818), _u3814), _u3814)), _u3820)) )).
% 12.21/12.44 cnf(matrix-2036, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3819, _u3819)), hAPP(hAPP(c_Product__Type_OPair(_u3819, _u3819), skolem63(_u3821, _u3819)), skolem63(_u3821, _u3819))), _u3821)) | c_Nitpick_Orefl_H(_u3819, _u3821) )).
% 12.21/12.44 cnf(matrix-2037, plain, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | hBOOL(hAPP(hAPP(c_member(_u3824), skolem64(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)), _u3825)) )).
% 12.21/12.44 cnf(matrix-2038, plain, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | hBOOL(hAPP(hAPP(c_member(_u3824), skolem65(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)), _u3825)) )).
% 12.21/12.44 cnf(matrix-2039, plain, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | ( hAPP(_u3828, skolem64(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)) = hAPP(_u3828, skolem65(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824))) )).
% 12.21/12.44 cnf(matrix-2040, plain, ( ~c_Equiv__Relations_Oequiv(_u3824, _u3825, _u3826) | ~c_Equiv__Relations_Ocongruent(_u3824, tc_fun(_u3827, tc_HOL_Obool), _u3826, _u3828) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3829), _u3828) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3824, tc_fun(_u3827, tc_HOL_Obool)), _u3830), _u3828)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3829), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3824, tc_HOL_Obool)), _u3830), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3824), _u3825), _u3826))) | ( _u3829 = _u3830) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3824, _u3824)), hAPP(hAPP(c_Product__Type_OPair(_u3824, _u3824), skolem64(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824)), skolem65(_u3830, _u3829, _u3828, _u3827, _u3826, _u3825, _u3824))), _u3826)) )).
% 12.21/12.44 cnf(matrix-2041, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u3831), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u3831)), c_Option_Ooption_ONone(_u3831)), hAPP(c_Set_Oimage(_u3831, tc_Option_Ooption(_u3831), c_Option_Ooption_OSome(_u3831)), c_Orderings_Otop__class_Otop(tc_fun(_u3831, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2042, plain, ( ~c_Relation_Oirrefl(_u3836, _u3838) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u3836, _u3836)), hAPP(hAPP(c_Product__Type_OPair(_u3836, _u3836), _u3832), _u3832)), _u3838)) )).
% 12.21/12.44 cnf(matrix-2043, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u3837, _u3837)), hAPP(hAPP(c_Product__Type_OPair(_u3837, _u3837), skolem66(_u3839, _u3837)), skolem66(_u3839, _u3837))), _u3839)) | c_Relation_Oirrefl(_u3837, _u3839) )).
% 12.21/12.44 cnf(matrix-2044, plain, ( ( hAPP(_u3840, _u3841) != c_Option_Ooption_ONone(_u3842)) | ( c_Map_Oran(_u3843, _u3842, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3843, tc_Option_Ooption(_u3842)), _u3840), _u3841), hAPP(c_Option_Ooption_OSome(_u3842), _u3844))) = hAPP(hAPP(c_Set_Oinsert(_u3842), _u3844), c_Map_Oran(_u3843, _u3842, _u3840))) )).
% 12.21/12.44 cnf(matrix-2045, plain, ( ( c_Option_Ooption_ONone(_u3845) != hAPP(c_Option_Ooption_OSome(_u3845), _u3846)) )).
% 12.21/12.44 cnf(matrix-2046, plain, ( ( hAPP(c_Option_Ooption_OSome(_u3847), _u3848) != c_Option_Ooption_ONone(_u3847)) )).
% 12.21/12.44 cnf(matrix-2047, plain, ( ( _u3853 = hAPP(c_Option_Ooption_OSome(_u3855), skolem67(_u3855, _u3853))) | ( _u3853 = c_Option_Ooption_ONone(_u3855)) )).
% 12.21/12.44 cnf(matrix-2048, plain, ( ( _u3854 != c_Option_Ooption_ONone(_u3856)) | ( _u3854 != hAPP(c_Option_Ooption_OSome(_u3856), _u3850)) )).
% 12.21/12.44 cnf(matrix-2049, plain, ( ( _u3861 = c_Option_Ooption_ONone(_u3863)) | ( _u3861 = hAPP(c_Option_Ooption_OSome(_u3863), skolem68(_u3863, _u3861))) )).
% 12.21/12.44 cnf(matrix-2050, plain, ( ( _u3862 != hAPP(c_Option_Ooption_OSome(_u3864), _u3858)) | ( _u3862 != c_Option_Ooption_ONone(_u3864)) )).
% 12.21/12.44 cnf(matrix-2051, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3869, tc_fun(_u3870, tc_HOL_Obool))), _u3868), _u3865), _u3866), _u3867)) | ~hBOOL(hAPP(hAPP(_u3865, _u3866), _u3867)) )).
% 12.21/12.44 cnf(matrix-2052, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3869, tc_fun(_u3870, tc_HOL_Obool))), _u3868), _u3865), _u3866), _u3867)) | ~hBOOL(hAPP(hAPP(_u3868, _u3866), _u3867)) )).
% 12.21/12.44 cnf(matrix-2053, plain, ( hBOOL(hAPP(hAPP(_u3873, _u3875), _u3876)) | hBOOL(hAPP(hAPP(_u3874, _u3875), _u3876)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3871, tc_fun(_u3872, tc_HOL_Obool))), _u3873), _u3874), _u3875), _u3876)) )).
% 12.21/12.44 cnf(matrix-2054, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3877, tc_fun(_u3878, tc_HOL_Obool))), _u3879), _u3880), _u3881), _u3882)) | hBOOL(hAPP(hAPP(_u3879, _u3881), _u3882)) )).
% 12.21/12.44 cnf(matrix-2055, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3877, tc_fun(_u3878, tc_HOL_Obool))), _u3879), _u3880), _u3881), _u3882)) | hBOOL(hAPP(hAPP(_u3880, _u3881), _u3882)) )).
% 12.21/12.44 cnf(matrix-2056, plain, ( ~hBOOL(hAPP(hAPP(_u3883, _u3884), _u3885)) | ~hBOOL(hAPP(hAPP(_u3886, _u3884), _u3885)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3887, tc_fun(_u3888, tc_HOL_Obool))), _u3883), _u3886), _u3884), _u3885)) )).
% 12.21/12.44 cnf(matrix-2057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u3889, tc_fun(_u3890, tc_HOL_Obool))), _u3891), _u3892)) )).
% 12.21/12.44 cnf(matrix-2058, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3902, tc_fun(_u3904, tc_fun(_u3906, tc_HOL_Obool))), _u3908), _u3910), _u3912), _u3914)) | hBOOL(hAPP(hAPP(c_member(_u3902), skolem69(_u3914, _u3912, _u3910, _u3908, _u3906, _u3904, _u3902)), _u3908)) )).
% 12.21/12.44 cnf(matrix-2059, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3902, tc_fun(_u3904, tc_fun(_u3906, tc_HOL_Obool))), _u3908), _u3910), _u3912), _u3914)) | hBOOL(hAPP(hAPP(hAPP(_u3910, skolem69(_u3914, _u3912, _u3910, _u3908, _u3906, _u3904, _u3902)), _u3912), _u3914)) )).
% 12.21/12.44 cnf(matrix-2060, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3903), _u3894), _u3909)) | ~hBOOL(hAPP(hAPP(hAPP(_u3911, _u3894), _u3913), _u3915)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3903, tc_fun(_u3905, tc_fun(_u3907, tc_HOL_Obool))), _u3909), _u3911), _u3913), _u3915)) )).
% 12.21/12.44 cnf(matrix-2061, plain, ( ~hBOOL(hAPP(hAPP(_u3918, _u3920), _u3921)) | hBOOL(hAPP(hAPP(_u3919, _u3920), _u3921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3916, tc_fun(_u3917, tc_HOL_Obool))), _u3918), _u3919)) )).
% 12.21/12.44 cnf(matrix-2062, plain, ( ~hBOOL(hAPP(hAPP(_u3922, _u3923), _u3924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3925, tc_fun(_u3926, tc_HOL_Obool))), _u3922), _u3927)) | hBOOL(hAPP(hAPP(_u3927, _u3923), _u3924)) )).
% 12.21/12.44 cnf(matrix-2063, plain, ( ~hBOOL(hAPP(hAPP(_u3928, _u3929), _u3930)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3931, tc_fun(_u3932, tc_HOL_Obool))), _u3933), _u3928), _u3929), _u3930)) )).
% 12.21/12.44 cnf(matrix-2064, plain, ( ~hBOOL(hAPP(hAPP(_u3934, _u3935), _u3936)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3937, tc_fun(_u3938, tc_HOL_Obool))), _u3934), _u3939), _u3935), _u3936)) )).
% 12.21/12.44 cnf(matrix-2065, plain, ( hBOOL(hAPP(hAPP(_u3943, _u3944), _u3945)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3940, tc_fun(_u3941, tc_HOL_Obool))), _u3942), _u3943), _u3944), _u3945)) )).
% 12.21/12.44 cnf(matrix-2066, plain, ( hBOOL(hAPP(hAPP(_u3948, _u3950), _u3951)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3946, tc_fun(_u3947, tc_HOL_Obool))), _u3948), _u3949), _u3950), _u3951)) )).
% 12.21/12.44 cnf(matrix-2067, plain, ( c_Fun_Oinj__on(_u3952, tc_Option_Ooption(_u3952), c_Option_Ooption_OSome(_u3952), _u3953) )).
% 12.21/12.44 cnf(matrix-2068, plain, ( ( _u3959 = _u3961) | ( hAPP(c_Option_Ooption_OSome(_u3957), _u3959) != hAPP(c_Option_Ooption_OSome(_u3957), _u3961)) )).
% 12.21/12.44 cnf(matrix-2069, plain, ( ( _u3960 != _u3962) | ( hAPP(c_Option_Ooption_OSome(_u3958), _u3960) = hAPP(c_Option_Ooption_OSome(_u3958), _u3962)) )).
% 12.21/12.44 cnf(matrix-2070, plain, ( ( hAPP(_u3963, _u3964) != hAPP(c_Option_Ooption_OSome(_u3965), _u3966)) | hBOOL(hAPP(hAPP(c_member(_u3965), _u3966), c_Map_Oran(_u3967, _u3965, _u3963))) )).
% 12.21/12.44 cnf(matrix-2071, plain, ( ( c_Map_Oran(_u3968, _u3969, hAPP(c_COMBK(tc_Option_Ooption(_u3969), _u3968), c_Option_Ooption_ONone(_u3969))) = c_Orderings_Obot__class_Obot(tc_fun(_u3969, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2072, plain, ( ( c_Option_Oset(_u3970, hAPP(c_Option_Ooption_OSome(_u3970), _u3971)) = hAPP(hAPP(c_Set_Oinsert(_u3970), _u3971), c_Orderings_Obot__class_Obot(tc_fun(_u3970, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2073, plain, ( ( _u3972 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3973, _u3973), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u3973, _u3973), tc_HOL_Obool)), _u3972), _u3974)) )).
% 12.21/12.44 cnf(matrix-2074, plain, ( ~c_Equiv__Relations_Oequiv(_u3977, c_Orderings_Otop__class_Otop(tc_fun(_u3977, tc_HOL_Obool)), _u3979) | c_Equiv__Relations_Oequivp(_u3977, hAPP(hAPP(c_COMBC(_u3977, tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_fun(_u3977, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3977, tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_fun(_u3977, tc_HOL_Obool)), _u3977), c_COMBC(_u3977, tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3977, tc_prod(_u3977, _u3977)), tc_fun(_u3977, tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool)), _u3977), hAPP(c_COMBB(tc_prod(_u3977, _u3977), tc_fun(tc_fun(tc_prod(_u3977, _u3977), tc_HOL_Obool), tc_HOL_Obool), _u3977), c_member(tc_prod(_u3977, _u3977)))), c_Product__Type_OPair(_u3977, _u3977)))), _u3979)) )).
% 12.21/12.44 cnf(matrix-2075, plain, ( ~c_Equiv__Relations_Oequivp(_u3978, hAPP(hAPP(c_COMBC(_u3978, tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_fun(_u3978, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3978, tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_fun(_u3978, tc_HOL_Obool)), _u3978), c_COMBC(_u3978, tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3978, tc_prod(_u3978, _u3978)), tc_fun(_u3978, tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool)), _u3978), hAPP(c_COMBB(tc_prod(_u3978, _u3978), tc_fun(tc_fun(tc_prod(_u3978, _u3978), tc_HOL_Obool), tc_HOL_Obool), _u3978), c_member(tc_prod(_u3978, _u3978)))), c_Product__Type_OPair(_u3978, _u3978)))), _u3980)) | c_Equiv__Relations_Oequiv(_u3978, c_Orderings_Otop__class_Otop(tc_fun(_u3978, tc_HOL_Obool)), _u3980) )).
% 12.21/12.44 cnf(matrix-2076, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3982), _u3983), hAPP(c_Relation_OImage(_u3984, _u3982, _u3985), _u3986))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u3984, _u3982)), hAPP(hAPP(c_Product__Type_OPair(_u3984, _u3982), skolem70(_u3986, _u3985, _u3984, _u3983, _u3982)), _u3983)), _u3985)) )).
% 12.21/12.44 cnf(matrix-2077, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3982), _u3983), hAPP(c_Relation_OImage(_u3984, _u3982, _u3985), _u3986))) | hBOOL(hAPP(hAPP(c_member(_u3984), skolem70(_u3986, _u3985, _u3984, _u3983, _u3982)), _u3986)) )).
% 12.21/12.44 cnf(matrix-2078, plain, ( ( hAPP(c_Relation_OField(_u3987), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u3987, _u3987)), hAPP(hAPP(c_Product__Type_OPair(_u3987, _u3987), _u3988), _u3989)), _u3990)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3987, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3987), _u3988), hAPP(hAPP(c_Set_Oinsert(_u3987), _u3989), c_Orderings_Obot__class_Obot(tc_fun(_u3987, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u3987), _u3990))) )).
% 12.21/12.44 cnf(matrix-2079, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3992), _u3993), c_Map_Oran(_u3994, _u3992, c_Map_Orestrict__map(_u3994, _u3992, _u3995, _u3996)))) | hBOOL(hAPP(hAPP(c_member(_u3994), skolem71(_u3996, _u3995, _u3994, _u3993, _u3992)), _u3996)) )).
% 12.21/12.44 cnf(matrix-2080, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3992), _u3993), c_Map_Oran(_u3994, _u3992, c_Map_Orestrict__map(_u3994, _u3992, _u3995, _u3996)))) | ( hAPP(_u3995, skolem71(_u3996, _u3995, _u3994, _u3993, _u3992)) = hAPP(c_Option_Ooption_OSome(_u3992), _u3993)) )).
% 12.21/12.44 cnf(matrix-2081, plain, ( ( c_Relation_OId__on(_u3997, _u3998) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3997, tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool)), _u3998), hAPP(hAPP(c_COMBC(_u3997, tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool), tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u3997, _u3997), tc_fun(tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool), tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool)), _u3997), c_Set_Oinsert(tc_prod(_u3997, _u3997))), hAPP(hAPP(c_COMBS(_u3997, _u3997, tc_prod(_u3997, _u3997)), c_Product__Type_OPair(_u3997, _u3997)), c_COMBI(_u3997)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u3997, _u3997), tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2082, plain, ( ( c_Option_Oset(_u4001, _u4003) != c_Orderings_Obot__class_Obot(tc_fun(_u4001, tc_HOL_Obool))) | ( _u4003 = c_Option_Ooption_ONone(_u4001)) )).
% 12.21/12.44 cnf(matrix-2083, plain, ( ( _u4004 != c_Option_Ooption_ONone(_u4002)) | ( c_Option_Oset(_u4002, _u4004) = c_Orderings_Obot__class_Obot(tc_fun(_u4002, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2084, plain, ( ( c_Option_Oset(_u4005, c_Option_Ooption_ONone(_u4005)) = c_Orderings_Obot__class_Obot(tc_fun(_u4005, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2085, plain, ( c_Equiv__Relations_Oequivp(_u4006, c_fequal) )).
% 12.21/12.44 cnf(matrix-2086, plain, ( ~c_Equiv__Relations_Oequivp(_u4021, _u4023) | ~hBOOL(hAPP(hAPP(_u4023, _u4015), _u4013)) | ( hAPP(_u4023, _u4015) = hAPP(_u4023, _u4013)) )).
% 12.21/12.44 cnf(matrix-2087, plain, ( ~c_Equiv__Relations_Oequivp(_u4021, _u4023) | ( hAPP(_u4023, _u4016) != hAPP(_u4023, _u4014)) | hBOOL(hAPP(hAPP(_u4023, _u4016), _u4014)) )).
% 12.21/12.44 cnf(matrix-2088, plain, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | hBOOL(hAPP(hAPP(_u4024, skolem72(_u4024)), skolem73(_u4024))) | ( hAPP(_u4024, skolem74(_u4024)) = hAPP(_u4024, skolem75(_u4024))) )).
% 12.21/12.44 cnf(matrix-2089, plain, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | hBOOL(hAPP(hAPP(_u4024, skolem72(_u4024)), skolem73(_u4024))) | ~hBOOL(hAPP(hAPP(_u4024, skolem74(_u4024)), skolem75(_u4024))) )).
% 12.21/12.44 cnf(matrix-2090, plain, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | ( hAPP(_u4024, skolem72(_u4024)) != hAPP(_u4024, skolem73(_u4024))) | ( hAPP(_u4024, skolem74(_u4024)) = hAPP(_u4024, skolem75(_u4024))) )).
% 12.21/12.44 cnf(matrix-2091, plain, ( c_Equiv__Relations_Oequivp(_u4022, _u4024) | ( hAPP(_u4024, skolem72(_u4024)) != hAPP(_u4024, skolem73(_u4024))) | ~hBOOL(hAPP(hAPP(_u4024, skolem74(_u4024)), skolem75(_u4024))) )).
% 12.21/12.44 cnf(matrix-2092, plain, ( hBOOL(hAPP(hAPP(_u4026, _u4027), _u4027)) | ~c_Equiv__Relations_Oequivp(_u4025, _u4026) )).
% 12.21/12.44 cnf(matrix-2093, plain, ( ~hBOOL(hAPP(hAPP(_u4029, _u4030), _u4031)) | hBOOL(hAPP(hAPP(_u4029, _u4031), _u4030)) | ~c_Equiv__Relations_Oequivp(_u4028, _u4029) )).
% 12.21/12.44 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(hAPP(_u4033, _u4034), _u4035)) | ~hBOOL(hAPP(hAPP(_u4033, _u4035), _u4036)) | hBOOL(hAPP(hAPP(_u4033, _u4034), _u4036)) | ~c_Equiv__Relations_Oequivp(_u4032, _u4033) )).
% 12.21/12.44 cnf(matrix-2095, plain, ( ( c_Relation_OId__on(_u4037, c_Orderings_Obot__class_Obot(tc_fun(_u4037, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u4037, _u4037), tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2096, plain, ( ( hAPP(c_Relation_OImage(_u4038, _u4038, c_Relation_OId__on(_u4038, _u4039)), _u4040) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4038, tc_HOL_Obool)), _u4039), _u4040)) )).
% 12.21/12.44 cnf(matrix-2097, plain, ( ( hAPP(c_Relation_OField(_u4041), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u4041, _u4041), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4041, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u4042, _u4042), tc_HOL_Obool)), _u4043), _u4044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4042, tc_HOL_Obool)), hAPP(c_Relation_OField(_u4042), _u4043)), hAPP(c_Relation_OField(_u4042), _u4044))) )).
% 12.21/12.44 cnf(matrix-2099, plain, ( ( hAPP(_u4045, hAPP(_u4046, _u4047)) != hAPP(_u4048, hAPP(_u4049, _u4050))) | ( hAPP(hAPP(c_Fun_Ocomp(_u4051, _u4052, _u4053, _u4045), _u4046), _u4047) = hAPP(hAPP(c_Fun_Ocomp(_u4054, _u4052, _u4055, _u4048), _u4049), _u4050)) )).
% 12.21/12.44 cnf(matrix-2100, plain, ( ( hAPP(c_Relation_OField(_u4056), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u4056, _u4056), tc_HOL_Obool)), _u4057), _u4058)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4056, tc_HOL_Obool)), hAPP(c_Relation_OField(_u4056), _u4057)), hAPP(c_Relation_OField(_u4056), _u4058))) )).
% 12.21/12.44 cnf(matrix-2101, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4063, _u4063)), hAPP(hAPP(c_Product__Type_OPair(_u4063, _u4063), _u4065), _u4067)), c_Relation_OId__on(_u4063, _u4069))) | ( _u4065 = _u4067) )).
% 12.21/12.44 cnf(matrix-2102, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4063, _u4063)), hAPP(hAPP(c_Product__Type_OPair(_u4063, _u4063), _u4065), _u4067)), c_Relation_OId__on(_u4063, _u4069))) | hBOOL(hAPP(hAPP(c_member(_u4063), _u4065), _u4069)) )).
% 12.21/12.44 cnf(matrix-2103, plain, ( ( _u4066 != _u4068) | ~hBOOL(hAPP(hAPP(c_member(_u4064), _u4066), _u4070)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4064, _u4064)), hAPP(hAPP(c_Product__Type_OPair(_u4064, _u4064), _u4066), _u4068)), c_Relation_OId__on(_u4064, _u4070))) )).
% 12.21/12.44 cnf(matrix-2104, plain, ( ( _u4071 != _u4072) | ~hBOOL(hAPP(hAPP(c_member(_u4073), _u4071), _u4074)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4073, _u4073)), hAPP(hAPP(c_Product__Type_OPair(_u4073, _u4073), _u4071), _u4072)), c_Relation_OId__on(_u4073, _u4074))) )).
% 12.21/12.44 cnf(matrix-2105, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4078), _u4080), c_Option_Oset(_u4078, _u4082))) | ( _u4082 = hAPP(c_Option_Ooption_OSome(_u4078), _u4080)) )).
% 12.21/12.44 cnf(matrix-2106, plain, ( ( _u4083 != hAPP(c_Option_Ooption_OSome(_u4079), _u4081)) | hBOOL(hAPP(hAPP(c_member(_u4079), _u4081), c_Option_Oset(_u4079, _u4083))) )).
% 12.21/12.44 cnf(matrix-2107, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u4089, _u4091, _u4093), _u4095), _u4097)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4089, _u4091)), hAPP(hAPP(c_Product__Type_OPair(_u4089, _u4091), _u4095), _u4097)), _u4093)) )).
% 12.21/12.44 cnf(matrix-2108, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4090, _u4092)), hAPP(hAPP(c_Product__Type_OPair(_u4090, _u4092), _u4096), _u4098)), _u4094)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u4090, _u4092, _u4094), _u4096), _u4098)) )).
% 12.21/12.44 cnf(matrix-2109, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4100, _u4100)), _u4101), c_Relation_OId__on(_u4100, _u4102))) | hBOOL(hAPP(hAPP(c_member(_u4100), skolem76(_u4102, _u4101, _u4100)), _u4102)) )).
% 12.21/12.44 cnf(matrix-2110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u4100, _u4100)), _u4101), c_Relation_OId__on(_u4100, _u4102))) | ( _u4101 = hAPP(hAPP(c_Product__Type_OPair(_u4100, _u4100), skolem76(_u4102, _u4101, _u4100)), skolem76(_u4102, _u4101, _u4100))) )).
% 12.21/12.44 cnf(matrix-2111, plain, ( ( c_Map_Orestrict__map(_u4103, _u4104, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u4103, tc_Option_Ooption(_u4104)), _u4105), _u4106), hAPP(c_Option_Ooption_OSome(_u4104), _u4107)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4103, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4103), _u4106), c_Orderings_Obot__class_Obot(tc_fun(_u4103, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u4103, _u4104, _u4105, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4103, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4103), _u4106), c_Orderings_Obot__class_Obot(tc_fun(_u4103, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-2112, plain, ( ( c_Map_Orestrict__map(_u4108, _u4109, _u4110, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4108, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4108), _u4111), c_Orderings_Obot__class_Obot(tc_fun(_u4108, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u4108, tc_Option_Ooption(_u4109)), _u4110), _u4111), c_Option_Ooption_ONone(_u4109))) )).
% 12.21/12.44 cnf(matrix-2113, plain, ( ~class_Groups_Oab__semigroup__mult(_u4112) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4112, _u4112, c_Groups_Otimes__class_Otimes(_u4112), _u4113, _u4114), _u4115)) | ~hBOOL(hAPP(hAPP(c_member(_u4112), _u4116), _u4114)) | hBOOL(hAPP(hAPP(c_member(_u4112), _u4113), _u4114)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4112, _u4112, c_Groups_Otimes__class_Otimes(_u4112), _u4116, hAPP(hAPP(c_Set_Oinsert(_u4112), _u4113), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4112, tc_HOL_Obool)), _u4114), hAPP(hAPP(c_Set_Oinsert(_u4112), _u4116), c_Orderings_Obot__class_Obot(tc_fun(_u4112, tc_HOL_Obool)))))), _u4115)) )).
% 12.21/12.44 cnf(matrix-2114, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4117)), hAPP(c_Set_Oimage(_u4118, tc_Option_Ooption(_u4117), _u4119), c_Orderings_Otop__class_Otop(tc_fun(_u4118, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4117)), hAPP(c_Set_Oimage(_u4118, tc_Option_Ooption(_u4117), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u4118, tc_Option_Ooption(_u4117)), _u4119), _u4120), hAPP(c_Option_Ooption_OSome(_u4117), _u4121))), c_Orderings_Otop__class_Otop(tc_fun(_u4118, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2115, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u4122, _u4123, _u4124, _u4125), hAPP(c_Option_Ooption_OSome(_u4123), _u4126)) = hAPP(_u4125, _u4126)) )).
% 12.21/12.44 cnf(matrix-2116, plain, ( ( c_Option_Ooption_Ooption__rec(_u4127, _u4128, _u4129, _u4130, hAPP(c_Option_Ooption_OSome(_u4128), _u4131)) = hAPP(_u4130, _u4131)) )).
% 12.21/12.44 cnf(matrix-2117, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4132), c_Orderings_Obot__class_Obot(tc_fun(_u4132, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2118, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4133), _u4134)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4133), hAPP(hAPP(c_Set_Oinsert(_u4133), _u4135), _u4134))) )).
% 12.21/12.44 cnf(matrix-2119, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4136), _u4137)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4138), hAPP(c_Set_Oimage(_u4136, _u4138, _u4139), _u4137))) )).
% 12.21/12.44 cnf(matrix-2120, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4140, tc_HOL_Obool)), _u4141), _u4142))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), _u4141)) )).
% 12.21/12.44 cnf(matrix-2121, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4140, tc_HOL_Obool)), _u4141), _u4142))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4140), _u4142)) )).
% 12.21/12.44 cnf(matrix-2122, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4143), _u4144)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4143), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4143, tc_HOL_Obool)), _u4144), _u4145))) )).
% 12.21/12.44 cnf(matrix-2123, plain, ( ~class_Groups_Oordered__ab__group__add(_u4146) | c_Fun_Oinj__on(_u4146, _u4146, c_Groups_Ouminus__class_Ouminus(_u4146), _u4147) )).
% 12.21/12.44 cnf(matrix-2124, plain, ( hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), _u4150)) | hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4148, tc_HOL_Obool)), _u4150))) )).
% 12.21/12.44 cnf(matrix-2125, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), hAPP(hAPP(c_COMBS(_u4151, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4151), c_fconj), _u4152)), _u4153)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), _u4152))) )).
% 12.21/12.44 cnf(matrix-2126, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), hAPP(hAPP(c_COMBS(_u4151, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4151), c_fconj), _u4152)), _u4153)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4151), hAPP(c_Set_OCollect(_u4151), _u4153))) )).
% 12.21/12.44 cnf(matrix-2127, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4154), _u4155)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4154, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u4154, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u4154, tc_HOL_Obool), tc_fun(_u4154, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u4154, tc_HOL_Obool))), _u4155)))) )).
% 12.21/12.44 cnf(matrix-2128, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4158, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4158), _u4160))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4158), _u4160)) )).
% 12.21/12.44 cnf(matrix-2129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4159), _u4161)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4159, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4159), _u4161))) )).
% 12.21/12.44 cnf(matrix-2130, plain, ( ~class_Finite__Set_Ofinite(_u4162) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4162), _u4163)) )).
% 12.21/12.44 cnf(matrix-2131, plain, ( ~class_Finite__Set_Ofinite(_u4164) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4164), _u4165)) )).
% 12.21/12.44 cnf(matrix-2132, plain, ( ~class_Groups_Oab__semigroup__mult(_u4166) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), _u4167), _u4168)), _u4169) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), _u4167), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4166), _u4168), _u4169))) )).
% 12.21/12.44 cnf(matrix-2133, plain, ( ~class_Groups_Ogroup__add(_u4170) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4171) != hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4172)) | ( _u4171 = _u4172) )).
% 12.21/12.44 cnf(matrix-2134, plain, ( ~class_Groups_Ogroup__add(_u4170) | ( _u4171 != _u4172) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4171) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4170), _u4172)) )).
% 12.21/12.44 cnf(matrix-2135, plain, ( ~class_Groups_Ogroup__add(_u4173) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4174) != _u4175) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4175) = _u4174) )).
% 12.21/12.44 cnf(matrix-2136, plain, ( ~class_Groups_Ogroup__add(_u4173) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4175) != _u4174) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4173), _u4174) = _u4175) )).
% 12.21/12.44 cnf(matrix-2137, plain, ( ~class_Groups_Ogroup__add(_u4176) | ( _u4177 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4178)) | ( _u4178 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4177)) )).
% 12.21/12.44 cnf(matrix-2138, plain, ( ~class_Groups_Ogroup__add(_u4176) | ( _u4178 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4177)) | ( _u4177 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4176), _u4178)) )).
% 12.21/12.44 cnf(matrix-2139, plain, ( ~class_Groups_Ogroup__add(_u4179) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4179), hAPP(c_Groups_Ouminus__class_Ouminus(_u4179), _u4180)) = _u4180) )).
% 12.21/12.44 cnf(matrix-2140, plain, ( ~class_Lattices_Oboolean__algebra(_u4181) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4182) != hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4183)) | ( _u4182 = _u4183) )).
% 12.21/12.44 cnf(matrix-2141, plain, ( ~class_Lattices_Oboolean__algebra(_u4181) | ( _u4182 != _u4183) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4182) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4181), _u4183)) )).
% 12.21/12.44 cnf(matrix-2142, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4184), _u4185), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4184), _u4185), _u4186)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4184), _u4185), _u4186)) )).
% 12.21/12.44 cnf(matrix-2143, plain, ( ~class_Groups_Ouminus(_u4187) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4188, _u4187)), _u4189), _u4190) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4187), hAPP(_u4189, _u4190))) )).
% 12.21/12.44 cnf(matrix-2144, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4191) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4191), _u4192), _u4192) = _u4192) )).
% 12.21/12.44 cnf(matrix-2145, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4193) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4193), _u4194), _u4194) = _u4194) )).
% 12.21/12.44 cnf(matrix-2146, plain, ( ~class_Lattices_Oboolean__algebra(_u4195) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4195), hAPP(c_Groups_Ouminus__class_Ouminus(_u4195), _u4196)) = _u4196) )).
% 12.21/12.44 cnf(matrix-2147, plain, ( ~class_Groups_Ouminus(_u4197) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4198, _u4197)), _u4199), _u4200) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4197), hAPP(_u4199, _u4200))) )).
% 12.21/12.44 cnf(matrix-2148, plain, ( ( _u4206 = _u4208) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4204, tc_HOL_Obool)), _u4206) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4204, tc_HOL_Obool)), _u4208)) )).
% 12.21/12.44 cnf(matrix-2149, plain, ( ( _u4207 != _u4209) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4205, tc_HOL_Obool)), _u4207) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4205, tc_HOL_Obool)), _u4209)) )).
% 12.21/12.44 cnf(matrix-2150, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4210, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4210, tc_HOL_Obool)), _u4211)) = _u4211) )).
% 12.21/12.44 cnf(matrix-2151, plain, ( ( _u4212 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u4213, _u4214), 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)), _u4215)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4213), _u4212)) )).
% 12.21/12.44 cnf(matrix-2152, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4218, _u4220)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4218, _u4220), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4218), c_Orderings_Otop__class_Otop(tc_fun(_u4218, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2153, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4218, _u4220)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4218, _u4220), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4220), c_Orderings_Otop__class_Otop(tc_fun(_u4220, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4219), c_Orderings_Otop__class_Otop(tc_fun(_u4219, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4221), c_Orderings_Otop__class_Otop(tc_fun(_u4221, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4219, _u4221)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4219, _u4221), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4222), c_Orderings_Otop__class_Otop(tc_fun(_u4222, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4223), c_Orderings_Otop__class_Otop(tc_fun(_u4223, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u4222, _u4223)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u4222, _u4223), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2156, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), _u4225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4224, tc_HOL_Obool)), _u4225))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), c_Orderings_Otop__class_Otop(tc_fun(_u4224, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2157, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), _u4225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), c_Orderings_Otop__class_Otop(tc_fun(_u4224, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4224), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4224, tc_HOL_Obool)), _u4225))) )).
% 12.21/12.44 cnf(matrix-2158, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u4226, _u4226)), _u4227)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4226), hAPP(c_Relation_OField(_u4226), _u4227))) )).
% 12.21/12.44 cnf(matrix-2159, plain, ( ~class_Lattices_Oboolean__algebra(_u4228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4228), _u4229), _u4230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4228), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4230)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4228), _u4229))) )).
% 12.21/12.44 cnf(matrix-2160, plain, ( ~class_Lattices_Oboolean__algebra(_u4231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4232)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), _u4233), _u4232)) )).
% 12.21/12.44 cnf(matrix-2161, plain, ( ~class_Lattices_Oboolean__algebra(_u4231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), _u4233), _u4232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4231), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4232)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4231), _u4233))) )).
% 12.21/12.44 cnf(matrix-2162, plain, ( ~class_Groups_Oordered__ab__group__add(_u4234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4234), _u4235), _u4236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4234), hAPP(c_Groups_Ouminus__class_Ouminus(_u4234), _u4236)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4234), _u4235))) )).
% 12.21/12.44 cnf(matrix-2163, plain, ( ~class_Groups_Oordered__ab__group__add(_u4237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4238)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4239))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), _u4239), _u4238)) )).
% 12.21/12.44 cnf(matrix-2164, plain, ( ~class_Groups_Oordered__ab__group__add(_u4237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), _u4239), _u4238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4237), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4238)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4237), _u4239))) )).
% 12.21/12.44 cnf(matrix-2165, plain, ( ~class_Groups_Oordered__ab__group__add(_u4240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4241)), _u4242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4242)), _u4241)) )).
% 12.21/12.44 cnf(matrix-2166, plain, ( ~class_Groups_Oordered__ab__group__add(_u4240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4242)), _u4241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4240), hAPP(c_Groups_Ouminus__class_Ouminus(_u4240), _u4241)), _u4242)) )).
% 12.21/12.44 cnf(matrix-2167, plain, ( ~class_Groups_Oordered__ab__group__add(_u4243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4244), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4245), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4244))) )).
% 12.21/12.44 cnf(matrix-2168, plain, ( ~class_Groups_Oordered__ab__group__add(_u4243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4245), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4243), _u4244), hAPP(c_Groups_Ouminus__class_Ouminus(_u4243), _u4245))) )).
% 12.21/12.44 cnf(matrix-2169, plain, ( ~class_Groups_Oordered__ab__group__add(_u4246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4247), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4248), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4247))) )).
% 12.21/12.44 cnf(matrix-2170, plain, ( ~class_Groups_Oordered__ab__group__add(_u4246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4248), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4247))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4246), _u4247), hAPP(c_Groups_Ouminus__class_Ouminus(_u4246), _u4248))) )).
% 12.21/12.44 cnf(matrix-2171, plain, ( ~class_Groups_Oordered__ab__group__add(_u4249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4250)), _u4251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4251)), _u4250)) )).
% 12.21/12.44 cnf(matrix-2172, plain, ( ~class_Groups_Oordered__ab__group__add(_u4249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4251)), _u4250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4249), hAPP(c_Groups_Ouminus__class_Ouminus(_u4249), _u4250)), _u4251)) )).
% 12.21/12.44 cnf(matrix-2173, plain, ( ~class_Groups_Oordered__ab__group__add(_u4252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4253)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), _u4254), _u4253)) )).
% 12.21/12.44 cnf(matrix-2174, plain, ( ~class_Groups_Oordered__ab__group__add(_u4252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), _u4254), _u4253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4252), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4253)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4252), _u4254))) )).
% 12.21/12.44 cnf(matrix-2175, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4255), _u4256), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4255, tc_HOL_Obool)), _u4257))) | ~hBOOL(hAPP(hAPP(c_member(_u4255), _u4256), _u4257)) )).
% 12.21/12.44 cnf(matrix-2176, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4258), _u4259), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4258, tc_HOL_Obool)), _u4260))) | ~hBOOL(hAPP(hAPP(c_member(_u4258), _u4259), _u4260)) )).
% 12.21/12.44 cnf(matrix-2177, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4264), _u4266), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4264, tc_HOL_Obool)), _u4268))) | ~hBOOL(hAPP(hAPP(c_member(_u4264), _u4266), _u4268)) )).
% 12.21/12.44 cnf(matrix-2178, plain, ( hBOOL(hAPP(hAPP(c_member(_u4265), _u4267), _u4269)) | hBOOL(hAPP(hAPP(c_member(_u4265), _u4267), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4265, tc_HOL_Obool)), _u4269))) )).
% 12.21/12.44 cnf(matrix-2179, plain, ( ~class_Groups_Oab__group__add(_u4270) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4270), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4270), _u4271), _u4272)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4270), _u4272), _u4271)) )).
% 12.21/12.44 cnf(matrix-2180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4273, tc_HOL_Obool)), _u4274), _u4275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4273, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4273, tc_HOL_Obool)), _u4275)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4273, tc_HOL_Obool)), _u4274))) )).
% 12.21/12.44 cnf(matrix-2181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4279, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4279, tc_HOL_Obool)), _u4281)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4279, tc_HOL_Obool)), _u4283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4279, tc_HOL_Obool)), _u4283), _u4281)) )).
% 12.21/12.44 cnf(matrix-2182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4280, tc_HOL_Obool)), _u4284), _u4282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4280, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4280, tc_HOL_Obool)), _u4282)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4280, tc_HOL_Obool)), _u4284))) )).
% 12.21/12.44 cnf(matrix-2183, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4285), c_Orderings_Obot__class_Obot(tc_fun(_u4285, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2184, plain, ( ( hAPP(c_Set_Ovimage(_u4286, _u4287, _u4288), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4287, tc_HOL_Obool)), _u4289)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4286, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4286, _u4287, _u4288), _u4289))) )).
% 12.21/12.44 cnf(matrix-2185, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4293), hAPP(hAPP(c_Set_Oinsert(_u4293), _u4295), _u4297))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4293), _u4297)) )).
% 12.21/12.44 cnf(matrix-2186, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4294), _u4298)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4294), hAPP(hAPP(c_Set_Oinsert(_u4294), _u4296), _u4298))) )).
% 12.21/12.44 cnf(matrix-2187, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4300), c_Orderings_Otop__class_Otop(tc_fun(_u4300, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4299, _u4300)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u4299, _u4300), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4301, tc_HOL_Obool)), _u4302), _u4303)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4301), _u4303)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4301), _u4302)) )).
% 12.21/12.44 cnf(matrix-2189, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4304), _u4305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4304, tc_HOL_Obool)), _u4306), _u4305)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4304), _u4306)) )).
% 12.21/12.44 cnf(matrix-2190, plain, ( ~class_Finite__Set_Ofinite(_u4307) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4307), c_Orderings_Otop__class_Otop(tc_fun(_u4307, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2191, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4311, tc_HOL_Obool)), _u4313), _u4315))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), _u4313)) )).
% 12.21/12.44 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4311, tc_HOL_Obool)), _u4313), _u4315))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4311), _u4315)) )).
% 12.21/12.44 cnf(matrix-2193, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4312), _u4314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4312), _u4316)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4312), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4312, tc_HOL_Obool)), _u4314), _u4316))) )).
% 12.21/12.44 cnf(matrix-2194, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4317), _u4318)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4317), _u4319)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4317, tc_HOL_Obool)), _u4318), _u4319))) )).
% 12.21/12.44 cnf(matrix-2195, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4320, tc_HOL_Obool)), _u4322), _u4321))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4322)) )).
% 12.21/12.44 cnf(matrix-2196, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), _u4322)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4320, tc_HOL_Obool)), _u4322), _u4321))) )).
% 12.21/12.44 cnf(matrix-2197, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4325), _u4326)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4325, tc_fun(_u4327, tc_HOL_Obool)), _u4326), _u4328))) | ~hBOOL(hAPP(hAPP(c_member(_u4325), _u4323), _u4326)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(_u4328, _u4323))) )).
% 12.21/12.44 cnf(matrix-2198, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4325), _u4326)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4325, tc_fun(_u4327, tc_HOL_Obool)), _u4326), _u4328))) | hBOOL(hAPP(hAPP(c_member(_u4325), skolem77(_u4328, _u4327, _u4326, _u4325)), _u4326)) )).
% 12.21/12.44 cnf(matrix-2199, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4325), _u4326)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4325, tc_fun(_u4327, tc_HOL_Obool)), _u4326), _u4328))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4327), hAPP(_u4328, skolem77(_u4328, _u4327, _u4326, _u4325)))) )).
% 12.21/12.44 cnf(matrix-2200, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4329, _u4330, _u4331, _u4332, _u4333), _u4334)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4329), _u4333)) )).
% 12.21/12.44 cnf(matrix-2201, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4335) | c_Finite__Set_Ofun__left__comm__idem(_u4335, _u4335, c_Groups_Otimes__class_Otimes(_u4335)) )).
% 12.21/12.44 cnf(matrix-2202, plain, ( ( hAPP(c_Set_OCollect(_u4336), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4336), c_fNot), _u4337)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4336, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u4336), _u4337))) )).
% 12.21/12.44 cnf(matrix-2203, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4339)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4339), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4339), c_Orderings_Otop__class_Otop(tc_fun(_u4339, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2204, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4340), c_Orderings_Otop__class_Otop(tc_fun(_u4340, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4340)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4340), tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2205, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), hAPP(hAPP(c_COMBS(_u4344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4344), c_fdisj), _u4346)), _u4348)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), _u4346))) )).
% 12.21/12.44 cnf(matrix-2206, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), hAPP(hAPP(c_COMBS(_u4344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4344), c_fdisj), _u4346)), _u4348)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4344), hAPP(c_Set_OCollect(_u4344), _u4348))) )).
% 12.21/12.44 cnf(matrix-2207, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4345), hAPP(c_Set_OCollect(_u4345), _u4347))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4345), hAPP(c_Set_OCollect(_u4345), _u4349))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4345), hAPP(c_Set_OCollect(_u4345), hAPP(hAPP(c_COMBS(_u4345, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4345), c_fdisj), _u4347)), _u4349)))) )).
% 12.21/12.44 cnf(matrix-2208, plain, ( ~class_Lattices_Oboolean__algebra(_u4350) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4350), hAPP(c_Groups_Ouminus__class_Ouminus(_u4350), _u4351)), _u4351) = c_Orderings_Obot__class_Obot(_u4350)) )).
% 12.21/12.44 cnf(matrix-2209, plain, ( ~class_Lattices_Oboolean__algebra(_u4352) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4352), _u4353), hAPP(c_Groups_Ouminus__class_Ouminus(_u4352), _u4353)) = c_Orderings_Obot__class_Obot(_u4352)) )).
% 12.21/12.44 cnf(matrix-2210, plain, ( ~class_Lattices_Oboolean__algebra(_u4354) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4354), _u4355), _u4356) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4354), _u4355), hAPP(c_Groups_Ouminus__class_Ouminus(_u4354), _u4356))) )).
% 12.21/12.44 cnf(matrix-2211, plain, ( ~class_Lattices_Oboolean__algebra(_u4357) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4357), c_Orderings_Otop__class_Otop(_u4357)) = c_Orderings_Obot__class_Obot(_u4357)) )).
% 12.21/12.44 cnf(matrix-2212, plain, ( ~class_Lattices_Oboolean__algebra(_u4358) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4358), c_Orderings_Obot__class_Obot(_u4358)) = c_Orderings_Otop__class_Otop(_u4358)) )).
% 12.21/12.44 cnf(matrix-2213, plain, ( ~class_Lattices_Oboolean__algebra(_u4359) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4359), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4359), _u4360), _u4361)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4359), hAPP(c_Groups_Ouminus__class_Ouminus(_u4359), _u4360)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4359), _u4361))) )).
% 12.21/12.44 cnf(matrix-2214, plain, ( ~class_Lattices_Oboolean__algebra(_u4362) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4362), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4362), _u4363), _u4364)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4362), hAPP(c_Groups_Ouminus__class_Ouminus(_u4362), _u4363)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4362), _u4364))) )).
% 12.21/12.44 cnf(matrix-2215, plain, ( ~class_Lattices_Oboolean__algebra(_u4365) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4365), hAPP(c_Groups_Ouminus__class_Ouminus(_u4365), _u4366)), _u4366) = c_Orderings_Otop__class_Otop(_u4365)) )).
% 12.21/12.44 cnf(matrix-2216, plain, ( ~class_Lattices_Oboolean__algebra(_u4367) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4367), _u4368), hAPP(c_Groups_Ouminus__class_Ouminus(_u4367), _u4368)) = c_Orderings_Otop__class_Otop(_u4367)) )).
% 12.21/12.44 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4371, tc_HOL_Obool)), _u4373), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4371, tc_HOL_Obool)), _u4373))) | ( _u4373 = c_Orderings_Obot__class_Obot(tc_fun(_u4371, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2218, plain, ( ( _u4374 != c_Orderings_Obot__class_Obot(tc_fun(_u4372, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4372, tc_HOL_Obool)), _u4374), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4372, tc_HOL_Obool)), _u4374))) )).
% 12.21/12.44 cnf(matrix-2219, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4375, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4375, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4375, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2220, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4376, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u4376, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4376, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2221, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4377, tc_HOL_Obool)), _u4378), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4377, tc_HOL_Obool)), _u4378)) = c_Orderings_Obot__class_Obot(tc_fun(_u4377, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2222, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4379, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4379, tc_HOL_Obool)), _u4380)), _u4380) = c_Orderings_Obot__class_Obot(tc_fun(_u4379, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2223, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4381, tc_HOL_Obool)), _u4382), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4381, tc_HOL_Obool)), _u4382)) = c_Orderings_Otop__class_Otop(tc_fun(_u4381, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2224, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4383, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4383, tc_HOL_Obool)), _u4384)), _u4384) = c_Orderings_Otop__class_Otop(tc_fun(_u4383, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2225, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4385, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4385, tc_HOL_Obool)), _u4386), _u4387)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4385, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4385, tc_HOL_Obool)), _u4386)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4385, tc_HOL_Obool)), _u4387))) )).
% 12.21/12.44 cnf(matrix-2226, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4388, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4388, tc_HOL_Obool)), _u4389), _u4390)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4388, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4388, tc_HOL_Obool)), _u4389)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4388, tc_HOL_Obool)), _u4390))) )).
% 12.21/12.44 cnf(matrix-2227, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4391, tc_HOL_Obool)), _u4392) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4391, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4391, tc_HOL_Obool))), _u4392)) )).
% 12.21/12.44 cnf(matrix-2228, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4393, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4393, tc_HOL_Obool)), _u4394), _u4395)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4393, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4393, tc_HOL_Obool)), _u4394)), _u4395)) )).
% 12.21/12.44 cnf(matrix-2229, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4396, tc_HOL_Obool)), _u4397), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4396, tc_HOL_Obool)), _u4398)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4396, tc_HOL_Obool)), _u4397), _u4398)) )).
% 12.21/12.44 cnf(matrix-2230, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4399, tc_HOL_Obool)), _u4400), _u4401) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4399, tc_HOL_Obool)), _u4400), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4399, tc_HOL_Obool)), _u4401))) )).
% 12.21/12.44 cnf(matrix-2231, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4402), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4404, tc_HOL_Obool)), _u4405), hAPP(c_Set_Oimage(_u4402, _u4404, _u4406), _u4403))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4404), _u4405)) )).
% 12.21/12.44 cnf(matrix-2232, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4411, tc_HOL_Obool)), _u4413), hAPP(hAPP(c_Set_Oinsert(_u4411), _u4415), _u4417)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4411), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4411, tc_HOL_Obool)), _u4413), _u4417))) )).
% 12.21/12.44 cnf(matrix-2233, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4412), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), _u4414), _u4418))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4412), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4412, tc_HOL_Obool)), _u4414), hAPP(hAPP(c_Set_Oinsert(_u4412), _u4416), _u4418)))) )).
% 12.21/12.44 cnf(matrix-2234, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4419), hAPP(c_Set_Oimage(_u4420, _u4419, _u4421), _u4422))) | ~c_Fun_Oinj__on(_u4420, _u4419, _u4421, _u4422) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4420), _u4422)) )).
% 12.21/12.44 cnf(matrix-2235, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4423, tc_HOL_Obool)), _u4424) = hAPP(c_Set_OCollect(_u4423), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4423), c_fNot), hAPP(hAPP(c_COMBC(_u4423, tc_fun(_u4423, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4423)), _u4424)))) )).
% 12.21/12.44 cnf(matrix-2236, plain, ( ( hAPP(c_Set_OCollect(_u4425), hAPP(hAPP(c_COMBS(_u4425, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4425), c_fimplies), _u4426)), _u4427)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4425, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4425, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u4425), _u4426))), hAPP(c_Set_OCollect(_u4425), _u4427))) )).
% 12.21/12.44 cnf(matrix-2237, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), _u4429))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4428), c_fNot), _u4429)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), c_Orderings_Otop__class_Otop(tc_fun(_u4428, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2238, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), _u4429))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), c_Orderings_Otop__class_Otop(tc_fun(_u4428, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), hAPP(c_Set_OCollect(_u4428), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4428), c_fNot), _u4429)))) )).
% 12.21/12.44 cnf(matrix-2239, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4430), hAPP(c_Set_Oimage(_u4431, _u4430, _u4432), c_Orderings_Otop__class_Otop(tc_fun(_u4431, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4433), hAPP(c_Set_Oimage(_u4431, _u4433, hAPP(hAPP(c_COMBB(_u4430, _u4433, _u4431), _u4434), _u4432)), c_Orderings_Otop__class_Otop(tc_fun(_u4431, tc_HOL_Obool))))) )).
% 12.21/12.44 cnf(matrix-2240, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), _u4440), _u4442) != c_Orderings_Obot__class_Obot(tc_fun(_u4438, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4438, tc_HOL_Obool)), _u4440), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4438, tc_HOL_Obool)), _u4442))) )).
% 12.21/12.44 cnf(matrix-2241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4439, tc_HOL_Obool)), _u4441), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4439, tc_HOL_Obool)), _u4443))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4439, tc_HOL_Obool)), _u4441), _u4443) = c_Orderings_Obot__class_Obot(tc_fun(_u4439, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2242, plain, ( ( hAPP(c_Set_Oimage(_u4444, _u4445, _u4446), c_Orderings_Otop__class_Otop(tc_fun(_u4444, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4445, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4445, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4445, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4444, _u4445, _u4446), _u4447))), hAPP(c_Set_Oimage(_u4444, _u4445, _u4446), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4444, tc_HOL_Obool)), _u4447)))) )).
% 12.21/12.44 cnf(matrix-2243, plain, ( ~class_Groups_Oab__semigroup__mult(_u4448) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4448, _u4448, c_Groups_Otimes__class_Otimes(_u4448), _u4449, _u4450), _u4451)) | hBOOL(hAPP(hAPP(c_member(_u4448), _u4449), _u4450)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4448, _u4448, c_Groups_Otimes__class_Otimes(_u4448), _u4452, hAPP(hAPP(c_Set_Oinsert(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4452), _u4451))) )).
% 12.21/12.44 cnf(matrix-2244, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4453), _u4454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4453, tc_HOL_Obool)), _u4454), hAPP(c_Set_Oimage(_u4453, _u4453, _u4455), _u4454))) | c_Fun_Oinj__on(_u4453, _u4453, _u4455, _u4454) )).
% 12.21/12.44 cnf(matrix-2245, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4456), _u4457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4456, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4456, _u4456, _u4458), _u4457)), _u4457)) | ~c_Fun_Oinj__on(_u4456, _u4456, _u4458, _u4457) | ( hAPP(c_Set_Oimage(_u4456, _u4456, _u4458), _u4457) = _u4457) )).
% 12.21/12.44 cnf(matrix-2246, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4459), c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u4459, _u4459, _u4460), c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4459, _u4459, _u4460, c_Orderings_Otop__class_Otop(tc_fun(_u4459, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2247, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4461), c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u4461, _u4461, _u4462, c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4461, _u4461, _u4462), c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4461, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2248, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4463), hAPP(c_Set_Ovimage(_u4463, _u4464, _u4465), _u4466))) | ( hAPP(c_Set_Oimage(_u4463, _u4464, _u4465), c_Orderings_Otop__class_Otop(tc_fun(_u4463, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4464, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4466)) )).
% 12.21/12.44 cnf(matrix-2249, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ~c_Fun_Oinj__on(_u4469, _u4467, _u4470, c_Orderings_Otop__class_Otop(tc_fun(_u4469, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4469), hAPP(c_Set_Ovimage(_u4469, _u4467, _u4470), _u4468))) )).
% 12.21/12.44 cnf(matrix-2250, plain, ( ~class_Lattices_Oboolean__algebra(_u4471) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4471), _u4472), _u4473) != c_Orderings_Obot__class_Obot(_u4471)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4471), _u4472), _u4473) != c_Orderings_Otop__class_Otop(_u4471)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4471), _u4472) = _u4473) )).
% 12.21/12.44 cnf(matrix-2251, plain, ( ~c_Fun_Oinj__on(_u4474, _u4475, _u4476, c_Orderings_Otop__class_Otop(tc_fun(_u4474, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4475, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4474, _u4475, _u4476), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4474, tc_HOL_Obool)), _u4477))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4475, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4474, _u4475, _u4476), _u4477)))) )).
% 12.21/12.44 cnf(matrix-2252, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4486), _u4488)) | ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4490), _u4488)) | ( hAPP(c_Set_Ovimage(_u4492, _u4484, hAPP(hAPP(c_COMBC(_u4492, _u4484, _u4484), hAPP(hAPP(c_COMBC(_u4492, _u4484, tc_fun(_u4484, _u4484)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4484, tc_fun(_u4484, _u4484)), _u4492), c_If(_u4484)), hAPP(hAPP(c_COMBC(_u4492, tc_fun(_u4492, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4492)), _u4494))), _u4486)), _u4490)), _u4488) = c_Orderings_Otop__class_Otop(tc_fun(_u4492, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2253, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4486), _u4488)) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4490), _u4488)) | ( hAPP(c_Set_Ovimage(_u4492, _u4484, hAPP(hAPP(c_COMBC(_u4492, _u4484, _u4484), hAPP(hAPP(c_COMBC(_u4492, _u4484, tc_fun(_u4484, _u4484)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4484, tc_fun(_u4484, _u4484)), _u4492), c_If(_u4484)), hAPP(hAPP(c_COMBC(_u4492, tc_fun(_u4492, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4492)), _u4494))), _u4486)), _u4490)), _u4488) = _u4494) )).
% 12.21/12.44 cnf(matrix-2254, plain, ( hBOOL(hAPP(hAPP(c_member(_u4485), _u4487), _u4489)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4491), _u4489)) | ( hAPP(c_Set_Ovimage(_u4493, _u4485, hAPP(hAPP(c_COMBC(_u4493, _u4485, _u4485), hAPP(hAPP(c_COMBC(_u4493, _u4485, tc_fun(_u4485, _u4485)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4485, tc_fun(_u4485, _u4485)), _u4493), c_If(_u4485)), hAPP(hAPP(c_COMBC(_u4493, tc_fun(_u4493, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4493)), _u4495))), _u4487)), _u4491)), _u4489) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4493, tc_HOL_Obool)), _u4495)) )).
% 12.21/12.44 cnf(matrix-2255, plain, ( hBOOL(hAPP(hAPP(c_member(_u4485), _u4487), _u4489)) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4491), _u4489)) | ( hAPP(c_Set_Ovimage(_u4493, _u4485, hAPP(hAPP(c_COMBC(_u4493, _u4485, _u4485), hAPP(hAPP(c_COMBC(_u4493, _u4485, tc_fun(_u4485, _u4485)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4485, tc_fun(_u4485, _u4485)), _u4493), c_If(_u4485)), hAPP(hAPP(c_COMBC(_u4493, tc_fun(_u4493, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4493)), _u4495))), _u4487)), _u4491)), _u4489) = c_Orderings_Obot__class_Obot(tc_fun(_u4493, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2256, plain, ( ( c_Option_Ooption_Ooption__rec(_u4496, _u4497, _u4498, _u4499, c_Option_Ooption_ONone(_u4497)) = _u4498) )).
% 12.21/12.44 cnf(matrix-2257, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u4500, _u4501, _u4502, _u4503), c_Option_Ooption_ONone(_u4501)) = _u4502) )).
% 12.21/12.44 cnf(matrix-2258, plain, ( ~c_Finite__Set_Ofolding(_u4504, _u4505, _u4506, _u4507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4504), _u4508)) | ~hBOOL(hAPP(hAPP(c_member(_u4504), _u4509), _u4508)) | ( hAPP(_u4507, _u4508) = hAPP(c_Fun_Ocomp(_u4505, _u4505, _u4505, hAPP(_u4507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4504, tc_HOL_Obool)), _u4508), hAPP(hAPP(c_Set_Oinsert(_u4504), _u4509), c_Orderings_Obot__class_Obot(tc_fun(_u4504, tc_HOL_Obool)))))), hAPP(_u4506, _u4509))) )).
% 12.21/12.44 cnf(matrix-2259, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4511), _u4516)) | ~hBOOL(hAPP(hAPP(c_member(_u4511), _u4517), _u4516)) | ( hAPP(_u4515, _u4516) = hAPP(hAPP(_u4512, hAPP(_u4514, _u4517)), hAPP(_u4515, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4511, tc_HOL_Obool)), _u4516), hAPP(hAPP(c_Set_Oinsert(_u4511), _u4517), c_Orderings_Obot__class_Obot(tc_fun(_u4511, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4510, _u4511, _u4512, _u4513, _u4514, _u4515) )).
% 12.21/12.44 cnf(matrix-2260, plain, ( ~c_Finite__Set_Ofolding__one(_u4518, _u4519, _u4520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4518), _u4521)) | ~hBOOL(hAPP(hAPP(c_member(_u4518), _u4522), _u4521)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4518, tc_HOL_Obool)), _u4521), hAPP(hAPP(c_Set_Oinsert(_u4518), _u4522), c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool))) | ( hAPP(_u4520, _u4521) = _u4522) )).
% 12.21/12.44 cnf(matrix-2261, plain, ( ~c_Finite__Set_Ofolding__one(_u4518, _u4519, _u4520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4518), _u4521)) | ~hBOOL(hAPP(hAPP(c_member(_u4518), _u4522), _u4521)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4518, tc_HOL_Obool)), _u4521), hAPP(hAPP(c_Set_Oinsert(_u4518), _u4522), c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool))) | ( hAPP(_u4520, _u4521) = hAPP(hAPP(_u4519, _u4522), hAPP(_u4520, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4518, tc_HOL_Obool)), _u4521), hAPP(hAPP(c_Set_Oinsert(_u4518), _u4522), c_Orderings_Obot__class_Obot(tc_fun(_u4518, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2262, plain, ( ~c_Finite__Set_Ofolding__image(_u4523, _u4524, _u4525, _u4526, _u4527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4524), _u4528)) | ~c_Fun_Oinj__on(_u4524, _u4524, _u4529, _u4528) | ( hAPP(hAPP(_u4527, _u4530), hAPP(c_Set_Oimage(_u4524, _u4524, _u4529), _u4528)) = hAPP(hAPP(_u4527, hAPP(c_Fun_Ocomp(_u4524, _u4523, _u4524, _u4530), _u4529)), _u4528)) )).
% 12.21/12.44 cnf(matrix-2263, plain, ( ~c_Finite__Set_Ofolding(_u4531, _u4532, _u4533, _u4534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4531), _u4535)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4531), _u4536)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4531, tc_HOL_Obool)), _u4535), _u4536) != c_Orderings_Obot__class_Obot(tc_fun(_u4531, tc_HOL_Obool))) | ( hAPP(_u4534, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4531, tc_HOL_Obool)), _u4535), _u4536)) = hAPP(c_Fun_Ocomp(_u4532, _u4532, _u4532, hAPP(_u4534, _u4535)), hAPP(_u4534, _u4536))) )).
% 12.21/12.44 cnf(matrix-2264, plain, ( ~c_Finite__Set_Ofolding(_u4537, _u4538, _u4539, _u4540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4537), _u4541)) | ( hAPP(_u4540, hAPP(hAPP(c_Set_Oinsert(_u4537), _u4542), _u4541)) = hAPP(c_Fun_Ocomp(_u4538, _u4538, _u4538, hAPP(_u4540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4537, tc_HOL_Obool)), _u4541), hAPP(hAPP(c_Set_Oinsert(_u4537), _u4542), c_Orderings_Obot__class_Obot(tc_fun(_u4537, tc_HOL_Obool)))))), hAPP(_u4539, _u4542))) )).
% 12.21/12.44 cnf(matrix-2265, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4544), _u4549)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4544), _u4550)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4544, tc_HOL_Obool)), _u4549), _u4550) != c_Orderings_Obot__class_Obot(tc_fun(_u4544, tc_HOL_Obool))) | ( hAPP(_u4548, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4544, tc_HOL_Obool)), _u4549), _u4550)) = hAPP(hAPP(_u4545, hAPP(_u4548, _u4549)), hAPP(_u4548, _u4550))) | ~c_Finite__Set_Ofolding__image__simple(_u4543, _u4544, _u4545, _u4546, _u4547, _u4548) )).
% 12.21/12.44 cnf(matrix-2266, plain, ( ~c_Finite__Set_Ofolding__one(_u4551, _u4552, _u4553) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4551), _u4554)) | ( _u4554 = c_Orderings_Obot__class_Obot(tc_fun(_u4551, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4551), _u4555)) | ( _u4555 = c_Orderings_Obot__class_Obot(tc_fun(_u4551, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4551, tc_HOL_Obool)), _u4554), _u4555) != c_Orderings_Obot__class_Obot(tc_fun(_u4551, tc_HOL_Obool))) | ( hAPP(_u4553, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4551, tc_HOL_Obool)), _u4554), _u4555)) = hAPP(hAPP(_u4552, hAPP(_u4553, _u4554)), hAPP(_u4553, _u4555))) )).
% 12.21/12.44 cnf(matrix-2267, 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)), _u4556)))) )).
% 12.21/12.44 cnf(matrix-2268, 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)), _u4557)))) )).
% 12.21/12.44 cnf(matrix-2269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4558), _u4559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4558), _u4559)) )).
% 12.21/12.44 cnf(matrix-2270, plain, ( ( hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4565)), hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4566)), _u4567)) = hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4566)), hAPP(c_Fun_Ocomp(_u4561, _u4561, _u4564, hAPP(_u4562, _u4565)), _u4567))) | ~c_Finite__Set_Ofolding(_u4560, _u4561, _u4562, _u4563) )).
% 12.21/12.44 cnf(matrix-2271, plain, ( ( hAPP(c_Fun_Ocomp(_u4569, _u4569, _u4569, hAPP(_u4570, _u4572)), hAPP(_u4570, _u4573)) = hAPP(c_Fun_Ocomp(_u4569, _u4569, _u4569, hAPP(_u4570, _u4573)), hAPP(_u4570, _u4572))) | ~c_Finite__Set_Ofolding(_u4568, _u4569, _u4570, _u4571) )).
% 12.21/12.44 cnf(matrix-2272, plain, ( ~c_Finite__Set_Ofolding(_u4574, _u4575, _u4576, _u4577) | ( hAPP(c_Fun_Ocomp(_u4578, _u4579, _u4580, _u4581), hAPP(c_Fun_Ocomp(_u4582, _u4578, _u4580, _u4583), _u4584)) = hAPP(c_Fun_Ocomp(_u4582, _u4579, _u4580, hAPP(c_Fun_Ocomp(_u4578, _u4579, _u4582, _u4581), _u4583)), _u4584)) )).
% 12.21/12.44 cnf(matrix-2273, plain, ( ( hAPP(_u4590, c_Orderings_Obot__class_Obot(tc_fun(_u4586, tc_HOL_Obool))) = _u4588) | ~c_Finite__Set_Ofolding__image__simple(_u4585, _u4586, _u4587, _u4588, _u4589, _u4590) )).
% 12.21/12.44 cnf(matrix-2274, plain, ( ~c_Finite__Set_Ofolding__image(_u4591, _u4592, _u4593, _u4594, _u4595) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4592), _u4596)) | ( hAPP(hAPP(_u4595, hAPP(hAPP(c_COMBS(_u4592, _u4591, _u4591), hAPP(hAPP(c_COMBB(_u4591, tc_fun(_u4591, _u4591), _u4592), _u4593), _u4597)), _u4598)), _u4596) = hAPP(hAPP(_u4593, hAPP(hAPP(_u4595, _u4597), _u4596)), hAPP(hAPP(_u4595, _u4598), _u4596))) )).
% 12.21/12.44 cnf(matrix-2275, plain, ( ~c_Finite__Set_Ofolding(_u4599, _u4600, _u4601, _u4602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4599), _u4603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4599), _u4604)) | ( hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4604)), hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4603)), _u4606)) = hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4603)), hAPP(c_Fun_Ocomp(_u4600, _u4600, _u4605, hAPP(_u4602, _u4604)), _u4606))) )).
% 12.21/12.44 cnf(matrix-2276, plain, ( ~c_Finite__Set_Ofolding(_u4607, _u4608, _u4609, _u4610) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4607), _u4611)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4607), _u4612)) | ( hAPP(c_Fun_Ocomp(_u4608, _u4608, _u4608, hAPP(_u4610, _u4612)), hAPP(_u4610, _u4611)) = hAPP(c_Fun_Ocomp(_u4608, _u4608, _u4608, hAPP(_u4610, _u4611)), hAPP(_u4610, _u4612))) )).
% 12.21/12.44 cnf(matrix-2277, plain, ( ~c_Finite__Set_Ofolding(_u4613, _u4614, _u4615, _u4616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4617)) | ( hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4615, _u4619)), hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4616, _u4617)), _u4620)) = hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4616, _u4617)), hAPP(c_Fun_Ocomp(_u4614, _u4614, _u4618, hAPP(_u4615, _u4619)), _u4620))) )).
% 12.21/12.44 cnf(matrix-2278, plain, ( ~c_Finite__Set_Ofolding(_u4621, _u4622, _u4623, _u4624) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4621), _u4625)) | ( hAPP(c_Fun_Ocomp(_u4622, _u4622, _u4622, hAPP(_u4623, _u4626)), hAPP(_u4624, _u4625)) = hAPP(c_Fun_Ocomp(_u4622, _u4622, _u4622, hAPP(_u4624, _u4625)), hAPP(_u4623, _u4626))) )).
% 12.21/12.44 cnf(matrix-2279, plain, ( ~c_Finite__Set_Ofolding__one(_u4627, _u4628, _u4629) | ( hAPP(_u4629, hAPP(hAPP(c_Set_Oinsert(_u4627), _u4630), c_Orderings_Obot__class_Obot(tc_fun(_u4627, tc_HOL_Obool)))) = _u4630) )).
% 12.21/12.44 cnf(matrix-2280, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4637)) | hBOOL(hAPP(hAPP(c_member(_u4632), _u4638), _u4637)) | ( hAPP(_u4636, hAPP(hAPP(c_Set_Oinsert(_u4632), _u4638), _u4637)) = hAPP(hAPP(_u4633, hAPP(_u4635, _u4638)), hAPP(_u4636, _u4637))) | ~c_Finite__Set_Ofolding__image__simple(_u4631, _u4632, _u4633, _u4634, _u4635, _u4636) )).
% 12.21/12.44 cnf(matrix-2281, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4640), _u4645)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4640), _u4646)) | ( hAPP(hAPP(_u4641, hAPP(_u4644, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4640, tc_HOL_Obool)), _u4645), _u4646))), hAPP(_u4644, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4640, tc_HOL_Obool)), _u4645), _u4646))) = hAPP(hAPP(_u4641, hAPP(_u4644, _u4645)), hAPP(_u4644, _u4646))) | ~c_Finite__Set_Ofolding__image__simple(_u4639, _u4640, _u4641, _u4642, _u4643, _u4644) )).
% 12.21/12.44 cnf(matrix-2282, plain, ( ~c_Finite__Set_Ofolding(_u4647, _u4648, _u4649, _u4650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4647), _u4651)) | hBOOL(hAPP(hAPP(c_member(_u4647), _u4652), _u4651)) | ( hAPP(_u4650, hAPP(hAPP(c_Set_Oinsert(_u4647), _u4652), _u4651)) = hAPP(c_Fun_Ocomp(_u4648, _u4648, _u4648, hAPP(_u4650, _u4651)), hAPP(_u4649, _u4652))) )).
% 12.21/12.44 cnf(matrix-2283, plain, ( ~c_Finite__Set_Ofolding(_u4653, _u4654, _u4655, _u4656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4657)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4658)) | ( hAPP(c_Fun_Ocomp(_u4654, _u4654, _u4654, hAPP(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4653, tc_HOL_Obool)), _u4657), _u4658))), hAPP(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4653, tc_HOL_Obool)), _u4657), _u4658))) = hAPP(c_Fun_Ocomp(_u4654, _u4654, _u4654, hAPP(_u4656, _u4657)), hAPP(_u4656, _u4658))) )).
% 12.21/12.44 cnf(matrix-2284, plain, ( ~c_Finite__Set_Ofolding__one(_u4659, _u4660, _u4661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), _u4662)) | hBOOL(hAPP(hAPP(c_member(_u4659), _u4663), _u4662)) | ( _u4662 = c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ( hAPP(_u4661, hAPP(hAPP(c_Set_Oinsert(_u4659), _u4663), _u4662)) = hAPP(hAPP(_u4660, _u4663), hAPP(_u4661, _u4662))) )).
% 12.21/12.44 cnf(matrix-2285, plain, ( ~c_Finite__Set_Ofolding__one(_u4664, _u4665, _u4666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4664), _u4667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4664, tc_HOL_Obool)), _u4667), hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool))) | ( hAPP(_u4666, hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), _u4667)) = _u4668) )).
% 12.21/12.44 cnf(matrix-2286, plain, ( ~c_Finite__Set_Ofolding__one(_u4664, _u4665, _u4666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4664), _u4667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4664, tc_HOL_Obool)), _u4667), hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool))) | ( hAPP(_u4666, hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), _u4667)) = hAPP(hAPP(_u4665, _u4668), hAPP(_u4666, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4664, tc_HOL_Obool)), _u4667), hAPP(hAPP(c_Set_Oinsert(_u4664), _u4668), c_Orderings_Obot__class_Obot(tc_fun(_u4664, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2287, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4670), _u4675)) | ( hAPP(_u4674, hAPP(hAPP(c_Set_Oinsert(_u4670), _u4676), _u4675)) = hAPP(hAPP(_u4671, hAPP(_u4673, _u4676)), hAPP(_u4674, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4670, tc_HOL_Obool)), _u4675), hAPP(hAPP(c_Set_Oinsert(_u4670), _u4676), c_Orderings_Obot__class_Obot(tc_fun(_u4670, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4669, _u4670, _u4671, _u4672, _u4673, _u4674) )).
% 12.21/12.44 cnf(matrix-2288, plain, ( ~c_Finite__Set_Ofolding__one(_u4677, _u4678, _u4679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4680)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4677), _u4681)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4677, tc_HOL_Obool)), _u4680), _u4681) = c_Orderings_Obot__class_Obot(tc_fun(_u4677, tc_HOL_Obool))) | ( hAPP(hAPP(_u4678, hAPP(_u4679, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4677, tc_HOL_Obool)), _u4680), _u4681))), hAPP(_u4679, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4677, tc_HOL_Obool)), _u4680), _u4681))) = hAPP(hAPP(_u4678, hAPP(_u4679, _u4680)), hAPP(_u4679, _u4681))) )).
% 12.21/12.44 cnf(matrix-2289, 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), _u4682)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u4683))))) )).
% 12.21/12.44 cnf(matrix-2290, plain, ( ~class_Rings_Oidom(_u4684) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)) | ( _u4685 = _u4686) | ( _u4685 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4686)) )).
% 12.21/12.44 cnf(matrix-2291, plain, ( ~class_Rings_Oidom(_u4684) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)) | ( _u4685 != _u4686) )).
% 12.21/12.44 cnf(matrix-2292, plain, ( ~class_Rings_Oidom(_u4684) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)) | ( _u4685 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4686)) )).
% 12.21/12.44 cnf(matrix-2293, plain, ( ~class_Rings_Oring(_u4687) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), hAPP(c_Groups_Ouminus__class_Ouminus(_u4687), _u4688)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4687), _u4689)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4689)) )).
% 12.21/12.44 cnf(matrix-2294, plain, ( ~class_Rings_Oring(_u4690) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4691)), _u4692) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), _u4691), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4692))) )).
% 12.21/12.44 cnf(matrix-2295, plain, ( ~class_Rings_Oring(_u4693) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4693), _u4694), _u4695)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4693), hAPP(c_Groups_Ouminus__class_Ouminus(_u4693), _u4694)), _u4695)) )).
% 12.21/12.44 cnf(matrix-2296, plain, ( ~class_Rings_Oring(_u4696) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4696), _u4697), _u4698)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4696), _u4697), hAPP(c_Groups_Ouminus__class_Ouminus(_u4696), _u4698))) )).
% 12.21/12.44 cnf(matrix-2297, plain, ( ~class_Lattices_Olattice(_u4699) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4700)) | ~hBOOL(hAPP(hAPP(c_member(_u4699), _u4701), _u4700)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4699, tc_HOL_Obool)), _u4700), hAPP(hAPP(c_Set_Oinsert(_u4699), _u4701), c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4699, _u4700) = _u4701) )).
% 12.21/12.44 cnf(matrix-2298, plain, ( ~class_Lattices_Olattice(_u4699) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4699), _u4700)) | ~hBOOL(hAPP(hAPP(c_member(_u4699), _u4701), _u4700)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4699, tc_HOL_Obool)), _u4700), hAPP(hAPP(c_Set_Oinsert(_u4699), _u4701), c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4699, _u4700) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4699), _u4701), c_Big__Operators_Olattice__class_OInf__fin(_u4699, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4699, tc_HOL_Obool)), _u4700), hAPP(hAPP(c_Set_Oinsert(_u4699), _u4701), c_Orderings_Obot__class_Obot(tc_fun(_u4699, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2299, plain, ( ~class_Lattices_Olattice(_u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4702), _u4703)) | ~hBOOL(hAPP(hAPP(c_member(_u4702), _u4704), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4702), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4702, _u4703) = _u4704) )).
% 12.21/12.44 cnf(matrix-2300, plain, ( ~class_Lattices_Olattice(_u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4702), _u4703)) | ~hBOOL(hAPP(hAPP(c_member(_u4702), _u4704), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4702), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4702, _u4703) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4702), _u4704), c_Big__Operators_Olattice__class_OSup__fin(_u4702, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4702, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4702), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4702, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2301, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4710)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4705), _u4710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4705), skolem78(_u4710))) )).
% 12.21/12.44 cnf(matrix-2302, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4711)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem79(_u4711, _u4708)), _u4711)) )).
% 12.21/12.44 cnf(matrix-2303, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem79(_u4711, _u4708)), _u4708)) )).
% 12.21/12.44 cnf(matrix-2304, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2305, plain, ( ~class_Lattices_Olattice(_u4712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4712), _u4713)) | ( _u4713 = c_Orderings_Obot__class_Obot(tc_fun(_u4712, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4712), c_Big__Operators_Olattice__class_OInf__fin(_u4712, _u4713)), c_Big__Operators_Olattice__class_OSup__fin(_u4712, _u4713))) )).
% 12.21/12.44 cnf(matrix-2306, plain, ( ~class_Lattices_Olattice(_u4714) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4714, hAPP(hAPP(c_Set_Oinsert(_u4714), _u4715), c_Orderings_Obot__class_Obot(tc_fun(_u4714, tc_HOL_Obool)))) = _u4715) )).
% 12.21/12.44 cnf(matrix-2307, plain, ( ~class_Lattices_Olattice(_u4716) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4716, hAPP(hAPP(c_Set_Oinsert(_u4716), _u4717), c_Orderings_Obot__class_Obot(tc_fun(_u4716, tc_HOL_Obool)))) = _u4717) )).
% 12.21/12.44 cnf(matrix-2308, plain, ( ~class_Rings_Olinordered__idom(_u4718) | ( _u4719 = _u4720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), _u4720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4720), _u4719)) )).
% 12.21/12.44 cnf(matrix-2309, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4726)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4721), _u4726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4721), skolem80(_u4726))) )).
% 12.21/12.44 cnf(matrix-2310, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4727)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem81(_u4727, _u4724)), _u4727)) )).
% 12.21/12.44 cnf(matrix-2311, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u4727, _u4724)), _u4724)) )).
% 12.21/12.44 cnf(matrix-2312, plain, ( ~class_Lattices_Olattice(_u4728) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4728), _u4729)) | ~hBOOL(hAPP(hAPP(c_member(_u4728), _u4730), _u4729)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4728), _u4730), c_Big__Operators_Olattice__class_OInf__fin(_u4728, _u4729)) = _u4730) )).
% 12.21/12.44 cnf(matrix-2313, plain, ( ~class_Lattices_Olattice(_u4731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4731), _u4732)) | ~hBOOL(hAPP(hAPP(c_member(_u4731), _u4733), _u4732)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4731), _u4733), c_Big__Operators_Olattice__class_OSup__fin(_u4731, _u4732)) = c_Big__Operators_Olattice__class_OSup__fin(_u4731, _u4732)) )).
% 12.21/12.44 cnf(matrix-2314, plain, ( ~class_Lattices_Olattice(_u4734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4734), _u4735)) | ~hBOOL(hAPP(hAPP(c_member(_u4734), _u4736), _u4735)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4734), _u4736), c_Big__Operators_Olattice__class_OInf__fin(_u4734, _u4735)) = c_Big__Operators_Olattice__class_OInf__fin(_u4734, _u4735)) )).
% 12.21/12.44 cnf(matrix-2315, plain, ( ~class_Lattices_Olattice(_u4737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4737), _u4738)) | ~hBOOL(hAPP(hAPP(c_member(_u4737), _u4739), _u4738)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4737), _u4739), c_Big__Operators_Olattice__class_OSup__fin(_u4737, _u4738)) = _u4739) )).
% 12.21/12.44 cnf(matrix-2316, plain, ( ~class_Lattices_Olattice(_u4740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ( _u4741 = c_Orderings_Obot__class_Obot(tc_fun(_u4740, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4740, hAPP(hAPP(c_Set_Oinsert(_u4740), _u4742), _u4741)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4740), _u4742), c_Big__Operators_Olattice__class_OSup__fin(_u4740, _u4741))) )).
% 12.21/12.44 cnf(matrix-2317, plain, ( ~class_Lattices_Olattice(_u4743) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4743), _u4744)) | ( _u4744 = c_Orderings_Obot__class_Obot(tc_fun(_u4743, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4743, hAPP(hAPP(c_Set_Oinsert(_u4743), _u4745), _u4744)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4743), _u4745), c_Big__Operators_Olattice__class_OInf__fin(_u4743, _u4744))) )).
% 12.21/12.44 cnf(matrix-2318, plain, ( ~class_Lattices_Olattice(_u4746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4746), _u4747)) | ( _u4748 = c_Orderings_Obot__class_Obot(tc_fun(_u4746, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4746, tc_HOL_Obool)), _u4748), _u4747)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4746), c_Big__Operators_Olattice__class_OSup__fin(_u4746, _u4748)), c_Big__Operators_Olattice__class_OSup__fin(_u4746, _u4747)) = c_Big__Operators_Olattice__class_OSup__fin(_u4746, _u4747)) )).
% 12.21/12.44 cnf(matrix-2319, plain, ( ~class_Lattices_Olattice(_u4749) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4749), _u4750)) | ( _u4751 = c_Orderings_Obot__class_Obot(tc_fun(_u4749, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4749, tc_HOL_Obool)), _u4751), _u4750)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4749), c_Big__Operators_Olattice__class_OInf__fin(_u4749, _u4751)), c_Big__Operators_Olattice__class_OInf__fin(_u4749, _u4750)) = c_Big__Operators_Olattice__class_OInf__fin(_u4749, _u4750)) )).
% 12.21/12.44 cnf(matrix-2320, plain, ( ~class_Lattices_Olattice(_u4752) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4753)) | ( _u4753 = c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4752), _u4754)) | ( _u4754 = c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4752, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4752, tc_HOL_Obool)), _u4753), _u4754)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4752), c_Big__Operators_Olattice__class_OSup__fin(_u4752, _u4753)), c_Big__Operators_Olattice__class_OSup__fin(_u4752, _u4754))) )).
% 12.21/12.44 cnf(matrix-2321, plain, ( ~class_Lattices_Olattice(_u4755) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4755), _u4756)) | ( _u4756 = c_Orderings_Obot__class_Obot(tc_fun(_u4755, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4755), _u4757)) | ( _u4757 = c_Orderings_Obot__class_Obot(tc_fun(_u4755, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4755, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4755, tc_HOL_Obool)), _u4756), _u4757)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4755), c_Big__Operators_Olattice__class_OInf__fin(_u4755, _u4756)), c_Big__Operators_Olattice__class_OInf__fin(_u4755, _u4757))) )).
% 12.21/12.44 cnf(matrix-2322, plain, ( ~class_Lattices_Olattice(_u4758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4758), _u4759)) | hBOOL(hAPP(hAPP(c_member(_u4758), _u4760), _u4759)) | ( _u4759 = c_Orderings_Obot__class_Obot(tc_fun(_u4758, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4758, hAPP(hAPP(c_Set_Oinsert(_u4758), _u4760), _u4759)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4758), _u4760), c_Big__Operators_Olattice__class_OSup__fin(_u4758, _u4759))) )).
% 12.21/12.44 cnf(matrix-2323, plain, ( ~class_Lattices_Olattice(_u4761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4761), _u4762)) | hBOOL(hAPP(hAPP(c_member(_u4761), _u4763), _u4762)) | ( _u4762 = c_Orderings_Obot__class_Obot(tc_fun(_u4761, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4761, hAPP(hAPP(c_Set_Oinsert(_u4761), _u4763), _u4762)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4761), _u4763), c_Big__Operators_Olattice__class_OInf__fin(_u4761, _u4762))) )).
% 12.21/12.44 cnf(matrix-2324, plain, ( ~class_Lattices_Olattice(_u4764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4764), _u4765)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4764, tc_HOL_Obool)), _u4765), hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4764, hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), _u4765)) = _u4766) )).
% 12.21/12.44 cnf(matrix-2325, plain, ( ~class_Lattices_Olattice(_u4764) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4764), _u4765)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4764, tc_HOL_Obool)), _u4765), hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4764, hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), _u4765)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4764), _u4766), c_Big__Operators_Olattice__class_OSup__fin(_u4764, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4764, tc_HOL_Obool)), _u4765), hAPP(hAPP(c_Set_Oinsert(_u4764), _u4766), c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2326, plain, ( ~class_Lattices_Olattice(_u4767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4767), _u4768)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4767, tc_HOL_Obool)), _u4768), hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4767, hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), _u4768)) = _u4769) )).
% 12.21/12.44 cnf(matrix-2327, plain, ( ~class_Lattices_Olattice(_u4767) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4767), _u4768)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4767, tc_HOL_Obool)), _u4768), hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4767, hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), _u4768)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4767), _u4769), c_Big__Operators_Olattice__class_OInf__fin(_u4767, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4767, tc_HOL_Obool)), _u4768), hAPP(hAPP(c_Set_Oinsert(_u4767), _u4769), c_Orderings_Obot__class_Obot(tc_fun(_u4767, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2328, plain, ( ~class_Lattices_Olattice(_u4770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4770), _u4771)) | ( _u4771 = c_Orderings_Obot__class_Obot(tc_fun(_u4770, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4770), _u4772)) | ( _u4772 = c_Orderings_Obot__class_Obot(tc_fun(_u4770, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4770, tc_HOL_Obool)), _u4771), _u4772) != c_Orderings_Obot__class_Obot(tc_fun(_u4770, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4770, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4770, tc_HOL_Obool)), _u4771), _u4772)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4770), c_Big__Operators_Olattice__class_OSup__fin(_u4770, _u4771)), c_Big__Operators_Olattice__class_OSup__fin(_u4770, _u4772))) )).
% 12.21/12.44 cnf(matrix-2329, plain, ( ~class_Lattices_Olattice(_u4773) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4773), _u4774)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4773), _u4775)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4773, tc_HOL_Obool)), _u4774), _u4775) = c_Orderings_Obot__class_Obot(tc_fun(_u4773, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4773), c_Big__Operators_Olattice__class_OSup__fin(_u4773, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4773, tc_HOL_Obool)), _u4774), _u4775))), c_Big__Operators_Olattice__class_OSup__fin(_u4773, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4773, tc_HOL_Obool)), _u4774), _u4775))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4773), c_Big__Operators_Olattice__class_OSup__fin(_u4773, _u4774)), c_Big__Operators_Olattice__class_OSup__fin(_u4773, _u4775))) )).
% 12.21/12.44 cnf(matrix-2330, plain, ( ~class_Lattices_Olattice(_u4776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4776), _u4777)) | ( _u4777 = c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4776), _u4778)) | ( _u4778 = c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4776, tc_HOL_Obool)), _u4777), _u4778) != c_Orderings_Obot__class_Obot(tc_fun(_u4776, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4776, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4776, tc_HOL_Obool)), _u4777), _u4778)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4776), c_Big__Operators_Olattice__class_OInf__fin(_u4776, _u4777)), c_Big__Operators_Olattice__class_OInf__fin(_u4776, _u4778))) )).
% 12.21/12.44 cnf(matrix-2331, plain, ( ~class_Lattices_Olattice(_u4779) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4779), _u4780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4779), _u4781)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4779, tc_HOL_Obool)), _u4780), _u4781) = c_Orderings_Obot__class_Obot(tc_fun(_u4779, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4779), c_Big__Operators_Olattice__class_OInf__fin(_u4779, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4779, tc_HOL_Obool)), _u4780), _u4781))), c_Big__Operators_Olattice__class_OInf__fin(_u4779, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4779, tc_HOL_Obool)), _u4780), _u4781))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4779), c_Big__Operators_Olattice__class_OInf__fin(_u4779, _u4780)), c_Big__Operators_Olattice__class_OInf__fin(_u4779, _u4781))) )).
% 12.21/12.44 cnf(matrix-2332, plain, ( ~class_Lattices_Olattice(_u4784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4784), _u4785)) | ( _u4785 = c_Orderings_Obot__class_Obot(tc_fun(_u4784, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4784), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4784), skolem82(_u4785, _u4784)), skolem83(_u4785, _u4784))), hAPP(hAPP(c_Set_Oinsert(_u4784), skolem82(_u4785, _u4784)), hAPP(hAPP(c_Set_Oinsert(_u4784), skolem83(_u4785, _u4784)), c_Orderings_Obot__class_Obot(tc_fun(_u4784, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4784), c_Big__Operators_Olattice__class_OInf__fin(_u4784, _u4785)), _u4785)) )).
% 12.21/12.44 cnf(matrix-2333, plain, ( ~class_Lattices_Olattice(_u4788) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4788), _u4789)) | ( _u4789 = c_Orderings_Obot__class_Obot(tc_fun(_u4788, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4788), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4788), skolem84(_u4789, _u4788)), skolem85(_u4789, _u4788))), hAPP(hAPP(c_Set_Oinsert(_u4788), skolem84(_u4789, _u4788)), hAPP(hAPP(c_Set_Oinsert(_u4788), skolem85(_u4789, _u4788)), c_Orderings_Obot__class_Obot(tc_fun(_u4788, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4788), c_Big__Operators_Olattice__class_OSup__fin(_u4788, _u4789)), _u4789)) )).
% 12.21/12.44 cnf(matrix-2334, plain, ( hBOOL(hAPP(hAPP(_u4798, _u4796), _u4800)) | ~hBOOL(hAPP(hAPP(c_member(_u4794), _u4796), c_SetInterval_Oord_OatMost(_u4794, _u4798, _u4800))) )).
% 12.21/12.44 cnf(matrix-2335, plain, ( ~hBOOL(hAPP(hAPP(_u4799, _u4797), _u4801)) | hBOOL(hAPP(hAPP(c_member(_u4795), _u4797), c_SetInterval_Oord_OatMost(_u4795, _u4799, _u4801))) )).
% 12.21/12.44 cnf(matrix-2336, plain, ( hBOOL(hAPP(hAPP(_u4810, _u4812), _u4808)) | ~hBOOL(hAPP(hAPP(c_member(_u4806), _u4808), c_SetInterval_Oord_OatLeast(_u4806, _u4810, _u4812))) )).
% 12.21/12.44 cnf(matrix-2337, plain, ( ~hBOOL(hAPP(hAPP(_u4811, _u4813), _u4809)) | hBOOL(hAPP(hAPP(c_member(_u4807), _u4809), c_SetInterval_Oord_OatLeast(_u4807, _u4811, _u4813))) )).
% 12.21/12.44 cnf(matrix-2338, plain, ( hBOOL(hAPP(hAPP(_u4822, _u4820), _u4824)) | ~hBOOL(hAPP(hAPP(c_member(_u4818), _u4820), c_SetInterval_Oord_OlessThan(_u4818, _u4822, _u4824))) )).
% 12.21/12.44 cnf(matrix-2339, plain, ( ~hBOOL(hAPP(hAPP(_u4823, _u4821), _u4825)) | hBOOL(hAPP(hAPP(c_member(_u4819), _u4821), c_SetInterval_Oord_OlessThan(_u4819, _u4823, _u4825))) )).
% 12.21/12.44 cnf(matrix-2340, plain, ( hBOOL(hAPP(hAPP(_u4834, _u4836), _u4832)) | ~hBOOL(hAPP(hAPP(c_member(_u4830), _u4832), c_SetInterval_Oord_OgreaterThan(_u4830, _u4834, _u4836))) )).
% 12.21/12.44 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(hAPP(_u4835, _u4837), _u4833)) | hBOOL(hAPP(hAPP(c_member(_u4831), _u4833), c_SetInterval_Oord_OgreaterThan(_u4831, _u4835, _u4837))) )).
% 12.21/12.44 cnf(matrix-2342, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4843), _u4845), c_SetInterval_Oord_OatLeastAtMost(_u4843, _u4847, _u4849, _u4851))) | hBOOL(hAPP(hAPP(_u4847, _u4849), _u4845)) )).
% 12.21/12.44 cnf(matrix-2343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4843), _u4845), c_SetInterval_Oord_OatLeastAtMost(_u4843, _u4847, _u4849, _u4851))) | hBOOL(hAPP(hAPP(_u4847, _u4845), _u4851)) )).
% 12.21/12.44 cnf(matrix-2344, plain, ( ~hBOOL(hAPP(hAPP(_u4848, _u4850), _u4846)) | ~hBOOL(hAPP(hAPP(_u4848, _u4846), _u4852)) | hBOOL(hAPP(hAPP(c_member(_u4844), _u4846), c_SetInterval_Oord_OatLeastAtMost(_u4844, _u4848, _u4850, _u4852))) )).
% 12.21/12.44 cnf(matrix-2345, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4858), _u4860), c_SetInterval_Oord_OgreaterThanLessThan(_u4858, _u4862, _u4864, _u4866))) | hBOOL(hAPP(hAPP(_u4862, _u4864), _u4860)) )).
% 12.21/12.44 cnf(matrix-2346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4858), _u4860), c_SetInterval_Oord_OgreaterThanLessThan(_u4858, _u4862, _u4864, _u4866))) | hBOOL(hAPP(hAPP(_u4862, _u4860), _u4866)) )).
% 12.21/12.44 cnf(matrix-2347, plain, ( ~hBOOL(hAPP(hAPP(_u4863, _u4865), _u4861)) | ~hBOOL(hAPP(hAPP(_u4863, _u4861), _u4867)) | hBOOL(hAPP(hAPP(c_member(_u4859), _u4861), c_SetInterval_Oord_OgreaterThanLessThan(_u4859, _u4863, _u4865, _u4867))) )).
% 12.21/12.44 cnf(matrix-2348, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4874), _u4876), c_SetInterval_Oord_OgreaterThanAtMost(_u4874, _u4878, _u4880, _u4882, _u4884))) | hBOOL(hAPP(hAPP(_u4880, _u4882), _u4876)) )).
% 12.21/12.44 cnf(matrix-2349, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4874), _u4876), c_SetInterval_Oord_OgreaterThanAtMost(_u4874, _u4878, _u4880, _u4882, _u4884))) | hBOOL(hAPP(hAPP(_u4878, _u4876), _u4884)) )).
% 12.21/12.44 cnf(matrix-2350, plain, ( ~hBOOL(hAPP(hAPP(_u4881, _u4883), _u4877)) | ~hBOOL(hAPP(hAPP(_u4879, _u4877), _u4885)) | hBOOL(hAPP(hAPP(c_member(_u4875), _u4877), c_SetInterval_Oord_OgreaterThanAtMost(_u4875, _u4879, _u4881, _u4883, _u4885))) )).
% 12.21/12.44 cnf(matrix-2351, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4892), _u4894), c_SetInterval_Oord_OatLeastLessThan(_u4892, _u4896, _u4898, _u4900, _u4902))) | hBOOL(hAPP(hAPP(_u4896, _u4900), _u4894)) )).
% 12.21/12.44 cnf(matrix-2352, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4892), _u4894), c_SetInterval_Oord_OatLeastLessThan(_u4892, _u4896, _u4898, _u4900, _u4902))) | hBOOL(hAPP(hAPP(_u4898, _u4894), _u4902)) )).
% 12.21/12.44 cnf(matrix-2353, plain, ( ~hBOOL(hAPP(hAPP(_u4897, _u4901), _u4895)) | ~hBOOL(hAPP(hAPP(_u4899, _u4895), _u4903)) | hBOOL(hAPP(hAPP(c_member(_u4893), _u4895), c_SetInterval_Oord_OatLeastLessThan(_u4893, _u4897, _u4899, _u4901, _u4903))) )).
% 12.21/12.44 cnf(matrix-2354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4906), _u4908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4906), _u4908)) )).
% 12.21/12.44 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4906), _u4908)) | ( _u4906 != _u4908) )).
% 12.21/12.44 cnf(matrix-2356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4907), _u4909)) | ( _u4907 = _u4909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4907), _u4909)) )).
% 12.21/12.44 cnf(matrix-2357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4912), _u4914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4912), _u4914)) | ( _u4912 = _u4914) )).
% 12.21/12.44 cnf(matrix-2358, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4913), _u4915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4913), _u4915)) )).
% 12.21/12.44 cnf(matrix-2359, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4913), _u4915)) | ( _u4913 != _u4915) )).
% 12.21/12.44 cnf(matrix-2360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4916), _u4917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4916), _u4917)) )).
% 12.21/12.44 cnf(matrix-2361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4918), _u4919)) | ( _u4918 = _u4919) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4918), _u4919)) )).
% 12.21/12.44 cnf(matrix-2362, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4920), _u4921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4920), _u4921)) )).
% 12.21/12.44 cnf(matrix-2363, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4920), _u4921)) | ( _u4920 != _u4921) )).
% 12.21/12.44 cnf(matrix-2364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4922), _u4923)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4924), _u4922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4922), _u4924)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4923), _u4924))) )).
% 12.21/12.44 cnf(matrix-2365, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4925), _u4926)), _u4927) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4925), _u4927)), _u4926)) )).
% 12.21/12.44 cnf(matrix-2366, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4929), _u4930)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4928), _u4929)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4928), _u4930))) )).
% 12.21/12.44 cnf(matrix-2367, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4931), _u4932)), _u4933) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4931), _u4933)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4932), _u4933))) )).
% 12.21/12.44 cnf(matrix-2368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4934), _u4935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4934), _u4936)), _u4935)) )).
% 12.21/12.44 cnf(matrix-2369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4937), _u4938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4937), _u4939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4938)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4937))) )).
% 12.21/12.44 cnf(matrix-2370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4940), _u4940)) )).
% 12.21/12.44 cnf(matrix-2371, plain, ( ( _u4943 = _u4945) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4943), _u4945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4945), _u4943)) )).
% 12.21/12.44 cnf(matrix-2372, plain, ( ( _u4944 != _u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4944), _u4946)) )).
% 12.21/12.44 cnf(matrix-2373, plain, ( ( _u4944 != _u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4946), _u4944)) )).
% 12.21/12.44 cnf(matrix-2374, plain, ( ( _u4947 = _u4948) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4947), _u4948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4948), _u4947)) )).
% 12.21/12.44 cnf(matrix-2375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4949), _u4949)) )).
% 12.21/12.44 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4950), _u4951)) | ( _u4951 != _u4950) )).
% 12.21/12.44 cnf(matrix-2377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4952), _u4953)) | ( _u4952 != _u4953) )).
% 12.21/12.44 cnf(matrix-2378, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4954), _u4955)) | ( _u4954 = _u4955) | hBOOL(hAPP(hAPP(_u4956, _u4955), _u4954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4955), _u4954)) )).
% 12.21/12.44 cnf(matrix-2379, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4957), _u4958)), _u4957)) )).
% 12.21/12.44 cnf(matrix-2380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4959), _u4960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4961), _u4960)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4961), _u4959))) )).
% 12.21/12.44 cnf(matrix-2381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), _u4963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4962), _u4964)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4963), _u4964))) )).
% 12.21/12.44 cnf(matrix-2382, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4965), _u4966)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4966), _u4965)) = _u4965) )).
% 12.21/12.44 cnf(matrix-2383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4969)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4968), _u4967) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4969), _u4967)) | ( _u4968 = _u4969) )).
% 12.21/12.44 cnf(matrix-2384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4967), _u4969)) | ( _u4968 != _u4969) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4968), _u4967) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4969), _u4967)) )).
% 12.21/12.44 cnf(matrix-2385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4970), _u4972)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4971), _u4970)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4972), _u4970)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4971), _u4972)) )).
% 12.21/12.44 cnf(matrix-2386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4974), _u4973)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4975), _u4973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4974), _u4975)) )).
% 12.21/12.44 cnf(matrix-2387, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4973), _u4975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4974), _u4975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4974), _u4973)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4975), _u4973))) )).
% 12.21/12.44 cnf(matrix-2388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4976), _u4977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4977), _u4976)) | ( _u4976 = _u4977) )).
% 12.21/12.44 cnf(matrix-2389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4978), _u4979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4979), _u4980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4978), _u4980)) )).
% 12.21/12.44 cnf(matrix-2390, plain, ( ( _u4981 != _u4982) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4981), _u4982)) )).
% 12.21/12.44 cnf(matrix-2391, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4983), _u4984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4984), _u4983)) )).
% 12.21/12.44 cnf(matrix-2392, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4985), _u4985)) )).
% 12.21/12.44 cnf(matrix-2393, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4986), _u4986))) )).
% 12.21/12.44 cnf(matrix-2394, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4987), _u4987)))) )).
% 12.21/12.44 cnf(matrix-2395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4988), _u4989)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4988), _u4990)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4989), _u4990))) )).
% 12.21/12.44 cnf(matrix-2396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4991), _u4992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4993), _u4991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4993), _u4992))) )).
% 12.21/12.44 cnf(matrix-2397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4994), _u4995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4996), _u4997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4994), _u4996)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4995), _u4997))) )).
% 12.21/12.44 cnf(matrix-2398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u4999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u5000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4999), _u4998)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5000), _u4998))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4999), _u5000)) )).
% 12.21/12.44 cnf(matrix-2399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u4999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4998), _u5000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4999), _u5000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4999), _u4998)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5000), _u4998))) )).
% 12.21/12.44 cnf(matrix-2400, plain, ( ~c_Finite__Set_Ofolding__idem(_u5001, _u5002, _u5003, _u5004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5001), _u5005)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5001), _u5006)) | ( hAPP(_u5004, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5001, tc_HOL_Obool)), _u5005), _u5006)) = hAPP(c_Fun_Ocomp(_u5002, _u5002, _u5002, hAPP(_u5004, _u5005)), hAPP(_u5004, _u5006))) )).
% 12.21/12.44 cnf(matrix-2401, plain, ( ~c_Finite__Set_Ofolding__idem(_u5007, _u5008, _u5009, _u5010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5007, tc_HOL_Obool)), _u5012), _u5011)) | ( hAPP(c_Fun_Ocomp(_u5008, _u5008, _u5008, hAPP(_u5010, _u5011)), hAPP(_u5010, _u5012)) = hAPP(_u5010, _u5011)) )).
% 12.21/12.44 cnf(matrix-2402, plain, ( ~c_Finite__Set_Ofolding__idem(_u5013, _u5014, _u5015, _u5016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5013), _u5017)) | ( hAPP(_u5016, hAPP(hAPP(c_Set_Oinsert(_u5013), _u5018), _u5017)) = hAPP(c_Fun_Ocomp(_u5014, _u5014, _u5014, hAPP(_u5016, _u5017)), hAPP(_u5015, _u5018))) )).
% 12.21/12.44 cnf(matrix-2403, plain, ( ~c_Finite__Set_Ofolding__one(_u5021, _u5022, _u5023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5021), _u5024)) | ( _u5024 = c_Orderings_Obot__class_Obot(tc_fun(_u5021, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5021), hAPP(hAPP(_u5022, skolem86(_u5024, _u5023, _u5022, _u5021)), skolem87(_u5024, _u5023, _u5022, _u5021))), hAPP(hAPP(c_Set_Oinsert(_u5021), skolem86(_u5024, _u5023, _u5022, _u5021)), hAPP(hAPP(c_Set_Oinsert(_u5021), skolem87(_u5024, _u5023, _u5022, _u5021)), c_Orderings_Obot__class_Obot(tc_fun(_u5021, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5021), hAPP(_u5023, _u5024)), _u5024)) )).
% 12.21/12.44 cnf(matrix-2404, plain, ( ~class_Lattices_Odistrib__lattice(_u5025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5025), _u5026)) | ( _u5026 = c_Orderings_Obot__class_Obot(tc_fun(_u5025, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5025), _u5027), c_Big__Operators_Olattice__class_OSup__fin(_u5025, _u5026)) = c_Big__Operators_Olattice__class_OSup__fin(_u5025, hAPP(c_Set_OCollect(_u5025), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_HOL_Obool), tc_HOL_Obool, _u5025), c_HOL_OEx(_u5025)), hAPP(hAPP(c_COMBC(_u5025, tc_fun(_u5025, tc_HOL_Obool), tc_fun(_u5025, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5025, tc_HOL_Obool), tc_fun(_u5025, tc_HOL_Obool)), _u5025), c_COMBS(_u5025, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_HOL_Obool), tc_fun(_u5025, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5025), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5025), c_fconj)), hAPP(hAPP(c_COMBC(_u5025, tc_fun(_u5025, _u5025), tc_fun(_u5025, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5025, tc_HOL_Obool), tc_fun(tc_fun(_u5025, _u5025), tc_fun(_u5025, tc_HOL_Obool)), _u5025), c_COMBB(_u5025, tc_HOL_Obool, _u5025)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5025), _u5027))))), hAPP(hAPP(c_COMBC(_u5025, tc_fun(_u5025, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5025)), _u5026)))))) )).
% 12.21/12.44 cnf(matrix-2405, plain, ( ~class_Lattices_Odistrib__lattice(_u5028) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5028), _u5029)) | ( _u5029 = c_Orderings_Obot__class_Obot(tc_fun(_u5028, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5028), _u5030)) | ( _u5030 = c_Orderings_Obot__class_Obot(tc_fun(_u5028, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5028), c_Big__Operators_Olattice__class_OSup__fin(_u5028, _u5029)), c_Big__Operators_Olattice__class_OSup__fin(_u5028, _u5030)) = c_Big__Operators_Olattice__class_OSup__fin(_u5028, hAPP(c_Set_OCollect(_u5028), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool, _u5028), c_HOL_OEx(_u5028)), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_HOL_Obool), _u5028), hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool, _u5028), c_HOL_OEx(_u5028))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool))), tc_fun(tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), _u5028), c_COMBS(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u5028, tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool))), _u5028), hAPP(c_COMBB(tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool)), _u5028), c_COMBS(_u5028, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool)), tc_fun(_u5028, tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u5028), hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5028), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5028), c_fconj))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_fun(_u5028, _u5028)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5028, _u5028), tc_fun(_u5028, tc_HOL_Obool)), tc_fun(tc_fun(_u5028, tc_fun(_u5028, _u5028)), tc_fun(_u5028, tc_fun(_u5028, tc_HOL_Obool))), _u5028), c_COMBB(tc_fun(_u5028, _u5028), tc_fun(_u5028, tc_HOL_Obool), _u5028)), hAPP(hAPP(c_COMBB(tc_fun(_u5028, tc_HOL_Obool), tc_fun(tc_fun(_u5028, _u5028), tc_fun(_u5028, tc_HOL_Obool)), _u5028), c_COMBB(_u5028, tc_HOL_Obool, _u5028)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u5028)))))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u5028, tc_HOL_Obool), tc_fun(_u5028, tc_HOL_Obool)), _u5028), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5028)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5028), c_fconj), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5028)), _u5029)))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5028, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5028)), _u5030)))))))) )).
% 12.21/12.44 cnf(matrix-2406, plain, ( ~class_Lattices_Odistrib__lattice(_u5031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5031), _u5032)) | ( _u5032 = c_Orderings_Obot__class_Obot(tc_fun(_u5031, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5031), _u5033), c_Big__Operators_Olattice__class_OInf__fin(_u5031, _u5032)) = c_Big__Operators_Olattice__class_OInf__fin(_u5031, hAPP(c_Set_OCollect(_u5031), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_HOL_Obool), tc_HOL_Obool, _u5031), c_HOL_OEx(_u5031)), hAPP(hAPP(c_COMBC(_u5031, tc_fun(_u5031, tc_HOL_Obool), tc_fun(_u5031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5031, tc_HOL_Obool), tc_fun(_u5031, tc_HOL_Obool)), _u5031), c_COMBS(_u5031, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_HOL_Obool), tc_fun(_u5031, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5031), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5031), c_fconj)), hAPP(hAPP(c_COMBC(_u5031, tc_fun(_u5031, _u5031), tc_fun(_u5031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5031, tc_HOL_Obool), tc_fun(tc_fun(_u5031, _u5031), tc_fun(_u5031, tc_HOL_Obool)), _u5031), c_COMBB(_u5031, tc_HOL_Obool, _u5031)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5031), _u5033))))), hAPP(hAPP(c_COMBC(_u5031, tc_fun(_u5031, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5031)), _u5032)))))) )).
% 12.21/12.44 cnf(matrix-2407, plain, ( ~class_Lattices_Odistrib__lattice(_u5034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5034), _u5035)) | ( _u5035 = c_Orderings_Obot__class_Obot(tc_fun(_u5034, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5034), _u5036)) | ( _u5036 = c_Orderings_Obot__class_Obot(tc_fun(_u5034, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5034), c_Big__Operators_Olattice__class_OInf__fin(_u5034, _u5035)), c_Big__Operators_Olattice__class_OInf__fin(_u5034, _u5036)) = c_Big__Operators_Olattice__class_OInf__fin(_u5034, hAPP(c_Set_OCollect(_u5034), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool, _u5034), c_HOL_OEx(_u5034)), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_HOL_Obool), _u5034), hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool, _u5034), c_HOL_OEx(_u5034))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool))), tc_fun(tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), _u5034), c_COMBS(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u5034, tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool))), _u5034), hAPP(c_COMBB(tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool)), _u5034), c_COMBS(_u5034, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool)), tc_fun(_u5034, tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u5034), hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5034), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5034), c_fconj))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_fun(_u5034, _u5034)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5034, _u5034), tc_fun(_u5034, tc_HOL_Obool)), tc_fun(tc_fun(_u5034, tc_fun(_u5034, _u5034)), tc_fun(_u5034, tc_fun(_u5034, tc_HOL_Obool))), _u5034), c_COMBB(tc_fun(_u5034, _u5034), tc_fun(_u5034, tc_HOL_Obool), _u5034)), hAPP(hAPP(c_COMBB(tc_fun(_u5034, tc_HOL_Obool), tc_fun(tc_fun(_u5034, _u5034), tc_fun(_u5034, tc_HOL_Obool)), _u5034), c_COMBB(_u5034, tc_HOL_Obool, _u5034)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u5034)))))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u5034, tc_HOL_Obool), tc_fun(_u5034, tc_HOL_Obool)), _u5034), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5034)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5034), c_fconj), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5034)), _u5035)))), hAPP(hAPP(c_COMBC(_u5034, tc_fun(_u5034, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5034)), _u5036)))))))) )).
% 12.21/12.44 cnf(matrix-2408, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5037), _u5038)), _u5039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5038), _u5039))) )).
% 12.21/12.44 cnf(matrix-2409, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5040), _u5041) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5041), _u5040)) )).
% 12.21/12.44 cnf(matrix-2410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), hAPP(c_Set_OCollect(_u5044), _u5045))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_HOL_Obool, _u5046), c_HOL_OEx(_u5044)), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_fun(_u5044, tc_HOL_Obool), _u5046), hAPP(c_COMBS(_u5044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5044), c_fconj), _u5045))), _u5047))))) | ~hBOOL(hAPP(_u5045, _u5042)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBC(_u5046, _u5044, tc_HOL_Obool), _u5047), _u5042)))) )).
% 12.21/12.44 cnf(matrix-2411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), hAPP(c_Set_OCollect(_u5044), _u5045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_HOL_Obool, _u5046), c_HOL_OEx(_u5044)), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_fun(_u5044, tc_HOL_Obool), _u5046), hAPP(c_COMBS(_u5044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5044), c_fconj), _u5045))), _u5047))))) | hBOOL(hAPP(_u5045, skolem88(_u5047, _u5046, _u5045, _u5044))) )).
% 12.21/12.44 cnf(matrix-2412, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), hAPP(c_Set_OCollect(_u5044), _u5045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_HOL_Obool, _u5046), c_HOL_OEx(_u5044)), hAPP(hAPP(c_COMBB(tc_fun(_u5044, tc_HOL_Obool), tc_fun(_u5044, tc_HOL_Obool), _u5046), hAPP(c_COMBS(_u5044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5044), c_fconj), _u5045))), _u5047))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5046), hAPP(c_Set_OCollect(_u5046), hAPP(hAPP(c_COMBC(_u5046, _u5044, tc_HOL_Obool), _u5047), skolem88(_u5047, _u5046, _u5045, _u5044))))) )).
% 12.21/12.44 cnf(matrix-2413, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5048), hAPP(c_Set_OCollect(_u5048), _u5049))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5050), hAPP(c_Set_OCollect(_u5050), hAPP(hAPP(c_COMBB(tc_fun(_u5048, tc_HOL_Obool), tc_HOL_Obool, _u5050), c_HOL_OEx(_u5048)), hAPP(hAPP(c_COMBC(_u5050, tc_fun(_u5048, tc_HOL_Obool), tc_fun(_u5048, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5048, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u5048, tc_HOL_Obool), tc_fun(_u5048, tc_HOL_Obool)), _u5050), c_COMBS(_u5048, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5048, tc_HOL_Obool), tc_fun(_u5048, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u5050), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u5048), c_fconj)), hAPP(hAPP(c_COMBC(_u5050, tc_fun(_u5048, _u5050), tc_fun(_u5048, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5050, tc_HOL_Obool), tc_fun(tc_fun(_u5048, _u5050), tc_fun(_u5048, tc_HOL_Obool)), _u5050), c_COMBB(_u5050, tc_HOL_Obool, _u5048)), c_fequal)), _u5051)))), _u5049))))) )).
% 12.21/12.44 cnf(matrix-2414, plain, ( ( hAPP(c_Fun_Ocomp(_u5053, _u5053, _u5056, hAPP(_u5054, _u5057)), hAPP(c_Fun_Ocomp(_u5053, _u5053, _u5056, hAPP(_u5054, _u5057)), _u5058)) = hAPP(c_Fun_Ocomp(_u5053, _u5053, _u5056, hAPP(_u5054, _u5057)), _u5058)) | ~c_Finite__Set_Ofolding__idem(_u5052, _u5053, _u5054, _u5055) )).
% 12.21/12.44 cnf(matrix-2415, plain, ( ( hAPP(c_Fun_Ocomp(_u5060, _u5060, _u5060, hAPP(_u5061, _u5063)), hAPP(_u5061, _u5063)) = hAPP(_u5061, _u5063)) | ~c_Finite__Set_Ofolding__idem(_u5059, _u5060, _u5061, _u5062) )).
% 12.21/12.44 cnf(matrix-2416, plain, ( ( c_Map_Oran(_u5064, _u5065, _u5066) = hAPP(c_Set_OCollect(_u5065), hAPP(hAPP(c_COMBB(tc_fun(_u5064, tc_HOL_Obool), tc_HOL_Obool, _u5065), c_HOL_OEx(_u5064)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u5065), tc_fun(_u5064, tc_HOL_Obool), _u5065), hAPP(c_COMBC(_u5064, tc_Option_Ooption(_u5065), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u5065), tc_fun(tc_Option_Ooption(_u5065), tc_HOL_Obool), _u5064), c_fequal), _u5066))), c_Option_Ooption_OSome(_u5065))))) )).
% 12.21/12.44 cnf(matrix-2417, plain, ( ( hAPP(c_Set_OPow(_u5067), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5067, tc_HOL_Obool)), _u5068)) = hAPP(c_Set_OCollect(tc_fun(_u5067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u5067, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u5067, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u5067, tc_HOL_Obool)), c_COMBS(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u5067, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u5067, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u5067, tc_HOL_Obool), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(_u5067, tc_HOL_Obool)), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_fun(_u5067, tc_HOL_Obool)), tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u5067, tc_HOL_Obool)), c_COMBB(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u5067, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u5067, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5067, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u5067, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u5067, tc_HOL_Obool)), _u5068)), c_Set_OPow(_u5067)))))) )).
% 12.21/12.44 cnf(matrix-2418, plain, ( ~c_Finite__Set_Ofolding__idem(_u5069, _u5070, _u5071, _u5072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5069), _u5073)) | ~hBOOL(hAPP(hAPP(c_member(_u5069), _u5074), _u5073)) | ( hAPP(c_Fun_Ocomp(_u5070, _u5070, _u5070, hAPP(_u5072, _u5073)), hAPP(_u5071, _u5074)) = hAPP(_u5072, _u5073)) )).
% 12.21/12.44 cnf(matrix-2419, plain, ( ~class_Lattices_Olattice(_u5077) | ( hAPP(_u5078, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5077), skolem89(_u5079, _u5078, _u5077)), skolem90(_u5079, _u5078, _u5077))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5077), hAPP(_u5078, skolem89(_u5079, _u5078, _u5077))), hAPP(_u5078, skolem90(_u5079, _u5078, _u5077)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5077), _u5079)) | ( _u5079 = c_Orderings_Obot__class_Obot(tc_fun(_u5077, tc_HOL_Obool))) | ( hAPP(_u5078, c_Big__Operators_Olattice__class_OInf__fin(_u5077, _u5079)) = c_Big__Operators_Olattice__class_OInf__fin(_u5077, hAPP(c_Set_Oimage(_u5077, _u5077, _u5078), _u5079))) )).
% 12.21/12.44 cnf(matrix-2420, plain, ( ~class_Lattices_Olattice(_u5082) | ( hAPP(_u5083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5082), skolem91(_u5084, _u5083, _u5082)), skolem92(_u5084, _u5083, _u5082))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5082), hAPP(_u5083, skolem91(_u5084, _u5083, _u5082))), hAPP(_u5083, skolem92(_u5084, _u5083, _u5082)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5082), _u5084)) | ( _u5084 = c_Orderings_Obot__class_Obot(tc_fun(_u5082, tc_HOL_Obool))) | ( hAPP(_u5083, c_Big__Operators_Olattice__class_OSup__fin(_u5082, _u5084)) = c_Big__Operators_Olattice__class_OSup__fin(_u5082, hAPP(c_Set_Oimage(_u5082, _u5082, _u5083), _u5084))) )).
% 12.21/12.44 cnf(matrix-2421, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), skolem94(_u5089, _u5088, _u5087))) )).
% 12.21/12.44 cnf(matrix-2422, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u5087), skolem93(_u5089, _u5088, _u5087)), skolem94(_u5089, _u5088, _u5087))) )).
% 12.21/12.44 cnf(matrix-2423, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | hBOOL(hAPP(_u5089, skolem94(_u5089, _u5088, _u5087))) )).
% 12.21/12.44 cnf(matrix-2424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5087), _u5088)) | ~hBOOL(hAPP(_u5089, _u5088)) | hBOOL(hAPP(_u5089, c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u5089, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5087, tc_HOL_Obool)), skolem94(_u5089, _u5088, _u5087)), hAPP(hAPP(c_Set_Oinsert(_u5087), skolem93(_u5089, _u5088, _u5087)), c_Orderings_Obot__class_Obot(tc_fun(_u5087, tc_HOL_Obool)))))) )).
% 12.21/12.44 cnf(matrix-2425, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5090, _u5091, _u5092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5090), _u5093)) | ( _u5093 = c_Orderings_Obot__class_Obot(tc_fun(_u5090, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5090), _u5094)) | ( _u5094 = c_Orderings_Obot__class_Obot(tc_fun(_u5090, tc_HOL_Obool))) | ( hAPP(_u5092, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5090, tc_HOL_Obool)), _u5093), _u5094)) = hAPP(hAPP(_u5091, hAPP(_u5092, _u5093)), hAPP(_u5092, _u5094))) )).
% 12.21/12.44 cnf(matrix-2426, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), skolem96(_u5100, _u5099, _u5098, _u5097))) )).
% 12.21/12.44 cnf(matrix-2427, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | hBOOL(hAPP(hAPP(c_member(_u5097), skolem95(_u5100, _u5099, _u5098, _u5097)), _u5099)) )).
% 12.21/12.44 cnf(matrix-2428, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | ~hBOOL(hAPP(hAPP(c_member(_u5097), skolem95(_u5100, _u5099, _u5098, _u5097)), skolem96(_u5100, _u5099, _u5098, _u5097))) )).
% 12.21/12.44 cnf(matrix-2429, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | hBOOL(hAPP(_u5100, skolem96(_u5100, _u5099, _u5098, _u5097))) )).
% 12.21/12.44 cnf(matrix-2430, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5097), _u5098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5097, tc_HOL_Obool)), _u5098), _u5099)) | ~hBOOL(hAPP(_u5100, c_Orderings_Obot__class_Obot(tc_fun(_u5097, tc_HOL_Obool)))) | hBOOL(hAPP(_u5100, _u5098)) | ~hBOOL(hAPP(_u5100, hAPP(hAPP(c_Set_Oinsert(_u5097), skolem95(_u5100, _u5099, _u5098, _u5097)), skolem96(_u5100, _u5099, _u5098, _u5097)))) )).
% 12.21/12.44 cnf(matrix-2431, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5101, _u5102, _u5103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5101), _u5104)) | ( _u5105 = c_Orderings_Obot__class_Obot(tc_fun(_u5101, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5101, tc_HOL_Obool)), _u5105), _u5104)) | ( hAPP(hAPP(_u5102, hAPP(_u5103, _u5105)), hAPP(_u5103, _u5104)) = hAPP(_u5103, _u5104)) )).
% 12.21/12.44 cnf(matrix-2432, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5106, _u5107, _u5108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5106), _u5109)) | ( _u5109 = c_Orderings_Obot__class_Obot(tc_fun(_u5106, tc_HOL_Obool))) | ( hAPP(_u5108, hAPP(hAPP(c_Set_Oinsert(_u5106), _u5110), _u5109)) = hAPP(hAPP(_u5107, _u5110), hAPP(_u5108, _u5109))) )).
% 12.21/12.44 cnf(matrix-2433, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5117), _u5119)) | ( _u5119 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u5117, skolem98(_u5119, _u5117)), 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)), skolem97(_u5119, _u5117))))) )).
% 12.21/12.44 cnf(matrix-2434, plain, ( ( _u5120 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u5118, _u5113), 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)), _u5114)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5118), _u5120)) )).
% 12.21/12.44 cnf(matrix-2435, plain, ( ( hAPP(hAPP(_u5122, _u5124), _u5124) = _u5124) | ~c_Finite__Set_Ofolding__one__idem(_u5121, _u5122, _u5123) )).
% 12.21/12.44 cnf(matrix-2436, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5125, _u5126, _u5127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5125), _u5128)) | ~hBOOL(hAPP(hAPP(c_member(_u5125), _u5129), _u5128)) | ( hAPP(hAPP(_u5126, _u5129), hAPP(_u5127, _u5128)) = hAPP(_u5127, _u5128)) )).
% 12.21/12.44 cnf(matrix-2437, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5130), _u5131)) | ( hAPP(c_Set_Oimage(_u5130, _u5132, _u5133), _u5131) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u5132, tc_HOL_Obool), _u5130, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5132, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5130, tc_fun(_u5132, tc_HOL_Obool), tc_fun(_u5132, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u5132, tc_fun(tc_fun(_u5132, tc_HOL_Obool), tc_fun(_u5132, tc_HOL_Obool)), _u5130), c_Set_Oinsert(_u5132)), _u5133)), c_Orderings_Obot__class_Obot(tc_fun(_u5132, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u5132, tc_HOL_Obool))), _u5131)) )).
% 12.21/12.44 cnf(matrix-2438, plain, ( ~class_Groups_Oab__semigroup__mult(_u5134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5134), _u5135)) | ( _u5135 = c_Orderings_Obot__class_Obot(tc_fun(_u5134, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5134), _u5136)) | ( _u5136 = c_Orderings_Obot__class_Obot(tc_fun(_u5134, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5134, tc_HOL_Obool)), _u5135), _u5136) != c_Orderings_Obot__class_Obot(tc_fun(_u5134, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5134, c_Groups_Otimes__class_Otimes(_u5134)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5134, tc_HOL_Obool)), _u5135), _u5136)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5134), hAPP(c_Finite__Set_Ofold1(_u5134, c_Groups_Otimes__class_Otimes(_u5134)), _u5135)), hAPP(c_Finite__Set_Ofold1(_u5134, c_Groups_Otimes__class_Otimes(_u5134)), _u5136))) )).
% 12.21/12.44 cnf(matrix-2439, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5137), _u5138)) | ~hBOOL(hAPP(hAPP(c_member(_u5137), _u5139), _u5138)) | ~hBOOL(hAPP(hAPP(c_member(_u5137), _u5140), _u5138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5137, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5137, tc_HOL_Obool)), _u5138), hAPP(hAPP(c_Set_Oinsert(_u5137), _u5139), c_Orderings_Obot__class_Obot(tc_fun(_u5137, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u5137), _u5140), c_Orderings_Obot__class_Obot(tc_fun(_u5137, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5137), _u5138))) )).
% 12.21/12.44 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5142)) | ~hBOOL(hAPP(hAPP(c_member(_u5141), _u5143), _u5142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5141, tc_HOL_Obool)), _u5142), hAPP(hAPP(c_Set_Oinsert(_u5141), _u5143), c_Orderings_Obot__class_Obot(tc_fun(_u5141, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5141), _u5142))) )).
% 12.21/12.44 cnf(matrix-2441, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5146, _u5147, _u5148) | ( hAPP(_u5149, hAPP(hAPP(_u5147, skolem99(_u5150, _u5149, _u5148, _u5147, _u5146)), skolem100(_u5150, _u5149, _u5148, _u5147, _u5146))) != hAPP(hAPP(_u5147, hAPP(_u5149, skolem99(_u5150, _u5149, _u5148, _u5147, _u5146))), hAPP(_u5149, skolem100(_u5150, _u5149, _u5148, _u5147, _u5146)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5146), _u5150)) | ( _u5150 = c_Orderings_Obot__class_Obot(tc_fun(_u5146, tc_HOL_Obool))) | ( hAPP(_u5149, hAPP(_u5148, _u5150)) = hAPP(_u5148, hAPP(c_Set_Oimage(_u5146, _u5146, _u5149), _u5150))) )).
% 12.21/12.44 cnf(matrix-2442, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5152, _u5153, _u5154, _u5155, _u5156, _u5157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5158)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5159)) | ( hAPP(_u5157, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5153, tc_HOL_Obool)), _u5158), _u5159)) = hAPP(hAPP(_u5154, hAPP(_u5157, _u5158)), hAPP(_u5157, _u5159))) | hBOOL(hAPP(hAPP(c_member(_u5153), skolem101(_u5159, _u5158, _u5157, _u5156, _u5155, _u5154, _u5153)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5153, tc_HOL_Obool)), _u5158), _u5159))) )).
% 12.21/12.44 cnf(matrix-2443, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5152, _u5153, _u5154, _u5155, _u5156, _u5157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5158)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5153), _u5159)) | ( hAPP(_u5157, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5153, tc_HOL_Obool)), _u5158), _u5159)) = hAPP(hAPP(_u5154, hAPP(_u5157, _u5158)), hAPP(_u5157, _u5159))) | ( hAPP(_u5156, skolem101(_u5159, _u5158, _u5157, _u5156, _u5155, _u5154, _u5153)) != _u5155) )).
% 12.21/12.44 cnf(matrix-2444, plain, ( ~class_Groups_Oab__semigroup__mult(_u5160) | ( _u5161 = c_Orderings_Obot__class_Obot(tc_fun(_u5160, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5160), _u5161)) | hBOOL(hAPP(hAPP(c_member(_u5160), _u5162), _u5161)) | ( hAPP(c_Finite__Set_Ofold1(_u5160, c_Groups_Otimes__class_Otimes(_u5160)), hAPP(hAPP(c_Set_Oinsert(_u5160), _u5162), _u5161)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5160), _u5162), hAPP(c_Finite__Set_Ofold1(_u5160, c_Groups_Otimes__class_Otimes(_u5160)), _u5161))) )).
% 12.21/12.44 cnf(matrix-2445, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5163, _u5164, _u5165), _u5166), _u5167), c_Orderings_Obot__class_Obot(tc_fun(_u5164, tc_HOL_Obool))) = _u5167) )).
% 12.21/12.44 cnf(matrix-2446, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5168), c_Orderings_Otop__class_Otop(tc_fun(_u5168, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5168), _u5169) != hAPP(c_Finite__Set_Ocard(_u5168), c_Orderings_Otop__class_Otop(tc_fun(_u5168, tc_HOL_Obool)))) | ( _u5169 = c_Orderings_Otop__class_Otop(tc_fun(_u5168, tc_HOL_Obool))) )).
% 12.21/12.44 cnf(matrix-2447, plain, ( ~c_Fun_Oinj__on(_u5170, _u5171, _u5172, _u5173) | ( hAPP(c_Finite__Set_Ocard(_u5171), hAPP(c_Set_Oimage(_u5170, _u5171, _u5172), _u5173)) = hAPP(c_Finite__Set_Ocard(_u5170), _u5173)) )).
% 12.21/12.44 cnf(matrix-2448, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u5174, _u5175), hAPP(hAPP(c_Set_Oinsert(_u5174), _u5176), c_Orderings_Obot__class_Obot(tc_fun(_u5174, tc_HOL_Obool)))) = _u5176) )).
% 12.21/12.44 cnf(matrix-2449, plain, ( ( _u5177 != c_Finite__Set_Ofold1(_u5178, _u5179)) | ( hAPP(_u5177, hAPP(hAPP(c_Set_Oinsert(_u5178), _u5180), c_Orderings_Obot__class_Obot(tc_fun(_u5178, tc_HOL_Obool)))) = _u5180) )).
% 12.21/12.44 cnf(matrix-2450, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5181, _u5182, _u5183, _u5184, _u5185, _u5186) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5182), _u5187)) | ( hAPP(_u5186, _u5187) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5181, _u5182, _u5183), _u5185), _u5184), _u5187)) )).
% 12.21/12.44 cnf(matrix-2451, plain, ( ~c_Finite__Set_Ofolding__image(_u5188, _u5189, _u5190, _u5191, _u5192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5189), _u5193)) | ( hAPP(hAPP(_u5192, _u5194), _u5193) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5188, _u5189, _u5190), _u5194), _u5191), _u5193)) )).
% 12.21/12.44 cnf(matrix-2452, plain, ( ~c_Finite__Set_Ofolding__one(_u5195, _u5196, _u5197) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5195), _u5198)) | ( hAPP(_u5197, _u5198) = hAPP(c_Finite__Set_Ofold1(_u5195, _u5196), _u5198)) )).
% 12.21/12.44 cnf(matrix-2453, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5199), _u5200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5199), _u5200)), hAPP(c_Finite__Set_Ocard(_u5199), hAPP(hAPP(c_Set_Oinsert(_u5199), _u5201), _u5200)))) )).
% 12.21/12.44 cnf(matrix-2454, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5202), _u5203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5202, tc_HOL_Obool)), _u5204), _u5203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5202), _u5203)), hAPP(c_Finite__Set_Ocard(_u5202), _u5204))) | ( _u5204 = _u5203) )).
% 12.21/12.44 cnf(matrix-2455, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5205), _u5206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5205, tc_HOL_Obool)), _u5207), _u5206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5205), _u5207)), hAPP(c_Finite__Set_Ocard(_u5205), _u5206))) )).
% 12.21/12.44 cnf(matrix-2456, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5208), _u5209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5210), hAPP(c_Set_Oimage(_u5208, _u5210, _u5211), _u5209))), hAPP(c_Finite__Set_Ocard(_u5208), _u5209))) )).
% 12.21/12.44 cnf(matrix-2457, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ~c_Fun_Oinj__on(_u5212, _u5214, _u5215, _u5213) | ( hAPP(c_Finite__Set_Ocard(_u5214), hAPP(c_Set_Oimage(_u5212, _u5214, _u5215), _u5213)) = hAPP(c_Finite__Set_Ocard(_u5212), _u5213)) )).
% 12.21/12.44 cnf(matrix-2458, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ( hAPP(c_Finite__Set_Ocard(_u5214), hAPP(c_Set_Oimage(_u5212, _u5214, _u5215), _u5213)) != hAPP(c_Finite__Set_Ocard(_u5212), _u5213)) | c_Fun_Oinj__on(_u5212, _u5214, _u5215, _u5213) )).
% 12.21/12.44 cnf(matrix-2459, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5216), _u5217)) | ( hAPP(c_Finite__Set_Ocard(_u5218), hAPP(c_Set_Oimage(_u5216, _u5218, _u5219), _u5217)) != hAPP(c_Finite__Set_Ocard(_u5216), _u5217)) | c_Fun_Oinj__on(_u5216, _u5218, _u5219, _u5217) )).
% 12.21/12.44 cnf(matrix-2460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5220), hAPP(c_Set_Oimage(_u5221, _u5220, _u5222), _u5223))), hAPP(c_Finite__Set_Ocard(_u5221), _u5223))) | ~c_Fun_Oinj__on(_u5221, _u5220, _u5222, _u5223) )).
% 12.21/12.44 cnf(matrix-2461, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5224), _u5225)) | ~c_Fun_Oinj__on(_u5224, tc_fun(tc_fun(_u5224, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u5224, tc_fun(tc_prod(_u5224, _u5224), tc_HOL_Obool), tc_fun(tc_fun(_u5224, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5224, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u5224, _u5224), tc_HOL_Obool), tc_fun(tc_fun(_u5224, tc_HOL_Obool), tc_HOL_Obool)), _u5224), c_Equiv__Relations_Oquotient(_u5224)), hAPP(hAPP(c_COMBC(_u5224, tc_fun(_u5224, tc_HOL_Obool), tc_fun(_u5224, tc_HOL_Obool)), c_Set_Oinsert(_u5224)), c_Orderings_Obot__class_Obot(tc_fun(_u5224, tc_HOL_Obool))))), _u5226), _u5225) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u5224, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5224), _u5225), _u5226)) = hAPP(c_Finite__Set_Ocard(_u5224), _u5225)) )).
% 12.21/12.44 cnf(matrix-2462, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5227), _u5228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5227, tc_HOL_Obool)), _u5229), _u5228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5227), _u5229)), hAPP(c_Finite__Set_Ocard(_u5227), _u5228))) )).
% 12.21/12.44 cnf(matrix-2463, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u5230, _u5231), _u5232) = c_HOL_OThe(_u5230, c_Finite__Set_Ofold1Set(_u5230, _u5231, _u5232))) )).
% 12.21/12.44 cnf(matrix-2464, plain, ( ~class_Lattices_Olattice(_u5233) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5233), _u5234)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u5233, _u5234) = hAPP(c_Finite__Set_Ofold1(_u5233, c_Lattices_Osemilattice__sup__class_Osup(_u5233)), _u5234)) )).
% 12.21/12.44 cnf(matrix-2465, plain, ( ~class_Lattices_Olattice(_u5235) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5235), _u5236)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5235, _u5236) = hAPP(c_Finite__Set_Ofold1(_u5235, c_Lattices_Osemilattice__inf__class_Oinf(_u5235)), _u5236)) )).
% 12.21/12.44 cnf(matrix-2466, plain, ( ~c_Fun_Oinj__on(_u5237, _u5238, _u5239, _u5240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5238, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5237, _u5238, _u5239), _u5240)), _u5241)) | ~c_Fun_Oinj__on(_u5238, _u5237, _u5242, _u5241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5237, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5238, _u5237, _u5242), _u5241)), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5237), _u5240)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5238), _u5241)) | ( hAPP(c_Finite__Set_Ocard(_u5237), _u5240) = hAPP(c_Finite__Set_Ocard(_u5238), _u5241)) )).
% 12.21/12.44 cnf(matrix-2467, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5243, tc_HOL_Obool)), _u5244), _u5245)) | ( hAPP(c_Finite__Set_Ocard(_u5243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5243, tc_HOL_Obool)), _u5245), _u5244)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5243), _u5245)), hAPP(c_Finite__Set_Ocard(_u5243), _u5244))) )).
% 12.21/12.44 cnf(matrix-2468, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5246), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5246, tc_HOL_Obool)), _u5247), _u5248))) | ( hAPP(c_Finite__Set_Ocard(_u5246), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5246, tc_HOL_Obool)), _u5247), _u5248)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5246), _u5247)), hAPP(c_Finite__Set_Ocard(_u5246), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5246, tc_HOL_Obool)), _u5247), _u5248)))) )).
% 12.21/12.44 cnf(matrix-2469, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5249), _u5250)) | 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(_u5249), _u5251)), hAPP(c_Finite__Set_Ocard(_u5249), _u5250))), hAPP(c_Finite__Set_Ocard(_u5249), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5249, tc_HOL_Obool)), _u5251), _u5250)))) )).
% 12.21/12.44 cnf(matrix-2470, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5252), _u5253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5252, tc_HOL_Obool)), _u5254), _u5253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5252), _u5254)), hAPP(c_Finite__Set_Ocard(_u5252), _u5253))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5252, tc_HOL_Obool)), _u5254), _u5253)) )).
% 12.21/12.44 cnf(matrix-2471, plain, ( ~class_Groups_Oab__semigroup__mult(_u5255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5256), _u5257)) | hBOOL(hAPP(hAPP(c_member(_u5256), _u5258), _u5257)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5255, _u5256, c_Groups_Otimes__class_Otimes(_u5255)), _u5259), _u5260), hAPP(hAPP(c_Set_Oinsert(_u5256), _u5258), _u5257)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), hAPP(_u5259, _u5258)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5255, _u5256, c_Groups_Otimes__class_Otimes(_u5255)), _u5259), _u5260), _u5257))) )).
% 12.21/12.44 cnf(matrix-2472, plain, ( ~class_Lattices_Osemilattice__inf(_u5261) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5261), _u5262)) | ~hBOOL(hAPP(hAPP(c_member(_u5261), _u5263), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5261), hAPP(c_Finite__Set_Ofold1(_u5261, c_Lattices_Osemilattice__inf__class_Oinf(_u5261)), _u5262)), _u5263)) )).
% 12.21/12.44 cnf(matrix-2473, plain, ( ~class_Lattices_Osemilattice__inf(_u5266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5266), _u5267)) | ( _u5267 = c_Orderings_Obot__class_Obot(tc_fun(_u5266, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), hAPP(c_Finite__Set_Ofold1(_u5266, c_Lattices_Osemilattice__inf__class_Oinf(_u5266)), _u5267))) | ~hBOOL(hAPP(hAPP(c_member(_u5266), _u5264), _u5267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), _u5264)) )).
% 12.21/12.44 cnf(matrix-2474, plain, ( ~class_Lattices_Osemilattice__inf(_u5266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5266), _u5267)) | ( _u5267 = c_Orderings_Obot__class_Obot(tc_fun(_u5266, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), hAPP(c_Finite__Set_Ofold1(_u5266, c_Lattices_Osemilattice__inf__class_Oinf(_u5266)), _u5267))) | hBOOL(hAPP(hAPP(c_member(_u5266), skolem102(_u5268, _u5267, _u5266)), _u5267)) )).
% 12.21/12.44 cnf(matrix-2475, plain, ( ~class_Lattices_Osemilattice__inf(_u5266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5266), _u5267)) | ( _u5267 = c_Orderings_Obot__class_Obot(tc_fun(_u5266, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), hAPP(c_Finite__Set_Ofold1(_u5266, c_Lattices_Osemilattice__inf__class_Oinf(_u5266)), _u5267))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5266), _u5268), skolem102(_u5268, _u5267, _u5266))) )).
% 12.21/12.44 cnf(matrix-2476, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5269) | ( _u5270 = c_Orderings_Obot__class_Obot(tc_fun(_u5269, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5269), _u5270)) | ( hAPP(c_Finite__Set_Ofold1(_u5269, c_Groups_Otimes__class_Otimes(_u5269)), hAPP(hAPP(c_Set_Oinsert(_u5269), _u5271), _u5270)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5269), _u5271), hAPP(c_Finite__Set_Ofold1(_u5269, c_Groups_Otimes__class_Otimes(_u5269)), _u5270))) )).
% 12.21/12.44 cnf(matrix-2477, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5272) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5272), _u5273)) | ( _u5273 = c_Orderings_Obot__class_Obot(tc_fun(_u5272, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5272), _u5274)) | ( _u5274 = c_Orderings_Obot__class_Obot(tc_fun(_u5272, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5272, c_Groups_Otimes__class_Otimes(_u5272)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5272, tc_HOL_Obool)), _u5273), _u5274)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5272), hAPP(c_Finite__Set_Ofold1(_u5272, c_Groups_Otimes__class_Otimes(_u5272)), _u5273)), hAPP(c_Finite__Set_Ofold1(_u5272, c_Groups_Otimes__class_Otimes(_u5272)), _u5274))) )).
% 12.21/12.44 cnf(matrix-2478, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5275), _u5276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5275, tc_HOL_Obool)), _u5276), hAPP(hAPP(c_Set_Oinsert(_u5275), _u5277), c_Orderings_Obot__class_Obot(tc_fun(_u5275, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5275), _u5276))) )).
% 12.21/12.44 cnf(matrix-2479, plain, ( ~c_Fun_Oinj__on(_u5278, _u5279, _u5280, _u5281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5279, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5278, _u5279, _u5280), _u5281)), _u5282)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5279), _u5282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5278), _u5281)), hAPP(c_Finite__Set_Ocard(_u5279), _u5282))) )).
% 12.21/12.44 cnf(matrix-2480, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5288)) | ~c_Fun_Oinj__on(_u5285, _u5287, _u5283, _u5286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5287, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5285, _u5287, _u5283), _u5286)), _u5288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5285), _u5286)), hAPP(c_Finite__Set_Ocard(_u5287), _u5288))) )).
% 12.21/12.44 cnf(matrix-2481, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5285), _u5286)), hAPP(c_Finite__Set_Ocard(_u5287), _u5288))) | c_Fun_Oinj__on(_u5285, _u5287, skolem103(_u5288, _u5287, _u5286, _u5285), _u5286) )).
% 12.21/12.44 cnf(matrix-2482, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5286)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5285), _u5286)), hAPP(c_Finite__Set_Ocard(_u5287), _u5288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5287, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5285, _u5287, skolem103(_u5288, _u5287, _u5286, _u5285)), _u5286)), _u5288)) )).
% 12.21/12.44 cnf(matrix-2483, plain, ( ~class_Groups_Oab__semigroup__mult(_u5289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5290), _u5291)) | ~c_Fun_Oinj__on(_u5290, _u5292, _u5293, _u5291) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5289, _u5292, c_Groups_Otimes__class_Otimes(_u5289)), _u5294), _u5295), hAPP(c_Set_Oimage(_u5290, _u5292, _u5293), _u5291)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5289, _u5290, c_Groups_Otimes__class_Otimes(_u5289)), hAPP(c_Fun_Ocomp(_u5292, _u5289, _u5290, _u5294), _u5293)), _u5295), _u5291)) )).
% 12.21/12.44 cnf(matrix-2484, plain, ( ~c_Big__Operators_Osemilattice__big(_u5296, _u5297, _u5298) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5296), _u5299)) | ( hAPP(_u5298, _u5299) = hAPP(c_Finite__Set_Ofold1(_u5296, _u5297), _u5299)) )).
% 12.21/12.44 cnf(matrix-2485, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u5300, _u5301, _u5302, _u5303, _u5304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5301), _u5305)) | ( hAPP(hAPP(_u5304, _u5306), _u5305) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5300, _u5301, _u5302), _u5306), _u5303), _u5305)) )).
% 12.21/12.44 cnf(matrix-2486, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u5300, _u5301, _u5302, _u5303, _u5304) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5301), _u5305)) | ( hAPP(hAPP(_u5304, _u5306), _u5305) = _u5303) )).
% 12.21/12.44 cnf(matrix-2487, plain, ( ~class_Groups_Oab__semigroup__mult(_u5309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5309), _u5310)) | ( _u5310 = c_Orderings_Obot__class_Obot(tc_fun(_u5309, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5309), skolem104(_u5310, _u5309)), skolem105(_u5310, _u5309))), hAPP(hAPP(c_Set_Oinsert(_u5309), skolem104(_u5310, _u5309)), hAPP(hAPP(c_Set_Oinsert(_u5309), skolem105(_u5310, _u5309)), c_Orderings_Obot__class_Obot(tc_fun(_u5309, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5309), hAPP(c_Finite__Set_Ofold1(_u5309, c_Groups_Otimes__class_Otimes(_u5309)), _u5310)), _u5310)) )).
% 12.21/12.44 cnf(matrix-2488, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5311), _u5312)) | ~hBOOL(hAPP(hAPP(c_member(_u5311), _u5313), _u5312)) | ( hAPP(c_Finite__Set_Ocard(_u5311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5311, tc_HOL_Obool)), _u5312), hAPP(hAPP(c_Set_Oinsert(_u5311), _u5313), c_Orderings_Obot__class_Obot(tc_fun(_u5311, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5311), _u5312)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2489, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5314), _u5315)) | ~hBOOL(hAPP(hAPP(c_member(_u5314), _u5316), _u5315)) | ( hAPP(c_Finite__Set_Ocard(_u5314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5314, tc_HOL_Obool)), _u5315), hAPP(hAPP(c_Set_Oinsert(_u5314), _u5316), c_Orderings_Obot__class_Obot(tc_fun(_u5314, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5314), _u5315)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2490, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5314), _u5315)) | hBOOL(hAPP(hAPP(c_member(_u5314), _u5316), _u5315)) | ( hAPP(c_Finite__Set_Ocard(_u5314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5314, tc_HOL_Obool)), _u5315), hAPP(hAPP(c_Set_Oinsert(_u5314), _u5316), c_Orderings_Obot__class_Obot(tc_fun(_u5314, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u5314), _u5315)) )).
% 12.21/12.44 cnf(matrix-2491, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5319) | ( hAPP(_u5320, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5319), skolem106(_u5321, _u5320, _u5319)), skolem107(_u5321, _u5320, _u5319))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5319), hAPP(_u5320, skolem106(_u5321, _u5320, _u5319))), hAPP(_u5320, skolem107(_u5321, _u5320, _u5319)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5319), _u5321)) | ( _u5321 = c_Orderings_Obot__class_Obot(tc_fun(_u5319, tc_HOL_Obool))) | ( hAPP(_u5320, hAPP(c_Finite__Set_Ofold1(_u5319, c_Groups_Otimes__class_Otimes(_u5319)), _u5321)) = hAPP(c_Finite__Set_Ofold1(_u5319, c_Groups_Otimes__class_Otimes(_u5319)), hAPP(c_Set_Oimage(_u5319, _u5319, _u5320), _u5321))) )).
% 12.21/12.44 cnf(matrix-2492, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5322), _u5323)) | ~hBOOL(hAPP(hAPP(c_member(_u5322), _u5324), _u5323)) | hBOOL(hAPP(hAPP(c_member(_u5322), _u5324), _u5325)) | ( hAPP(c_Finite__Set_Ocard(_u5322), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5322, tc_HOL_Obool)), _u5323), hAPP(hAPP(c_Set_Oinsert(_u5322), _u5324), _u5325))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5322), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5322, tc_HOL_Obool)), _u5323), _u5325))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2493, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2494, plain, ( ~class_Groups_Oone(_u5326) | ( c_Groups_Oone__class_Oone(_u5326) != _u5327) | ( _u5327 = c_Groups_Oone__class_Oone(_u5326)) )).
% 12.21/12.44 cnf(matrix-2495, plain, ( ~class_Groups_Oone(_u5326) | ( _u5327 != c_Groups_Oone__class_Oone(_u5326)) | ( c_Groups_Oone__class_Oone(_u5326) = _u5327) )).
% 12.21/12.44 cnf(matrix-2496, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5328), _u5329), c_Groups_Oone__class_Oone(_u5328)) = _u5329) )).
% 12.21/12.44 cnf(matrix-2497, plain, ( ~class_Groups_Omonoid__mult(_u5330) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5330), _u5331), c_Groups_Oone__class_Oone(_u5330)) = _u5331) )).
% 12.21/12.44 cnf(matrix-2498, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5332) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), c_Groups_Oone__class_Oone(_u5332)), _u5333) = _u5333) )).
% 12.21/12.44 cnf(matrix-2499, plain, ( ~class_Groups_Omonoid__mult(_u5334) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5334), c_Groups_Oone__class_Oone(_u5334)), _u5335) = _u5335) )).
% 12.21/12.44 cnf(matrix-2500, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5336) = _u5336) )).
% 12.21/12.44 cnf(matrix-2501, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5339), _u5341)) | ( _u5339 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2502, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5339), _u5341)) | ( _u5341 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2503, plain, ( ( _u5340 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5342 != 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), _u5340), _u5342)) )).
% 12.21/12.44 cnf(matrix-2504, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5343), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5343) )).
% 12.21/12.44 cnf(matrix-2505, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5346), _u5348) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5346 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2506, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5346), _u5348) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5348 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2507, plain, ( ( _u5347 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5349 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5347), _u5349) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2508, plain, ( ~class_Rings_Olinordered__semidom(_u5350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Oone__class_Oone(_u5350)), _u5351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Oone__class_Oone(_u5350)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5350), c_Groups_Oone__class_Oone(_u5350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5350), _u5351), _u5352))) )).
% 12.21/12.44 cnf(matrix-2509, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5354) != c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 = c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), c_Groups_Oone__class_Oone(_u5353))) )).
% 12.21/12.44 cnf(matrix-2510, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5354) = c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 != c_Groups_Oone__class_Oone(_u5353)) )).
% 12.21/12.44 cnf(matrix-2511, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5353), _u5354), _u5354) = c_Groups_Oone__class_Oone(_u5353)) | ( _u5354 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), c_Groups_Oone__class_Oone(_u5353))) )).
% 12.21/12.44 cnf(matrix-2512, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5356), _u5357)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5355, _u5356, c_Groups_Otimes__class_Otimes(_u5355)), hAPP(hAPP(c_COMBS(_u5356, _u5355, _u5355), hAPP(hAPP(c_COMBB(_u5355, tc_fun(_u5355, _u5355), _u5356), c_Groups_Otimes__class_Otimes(_u5355)), _u5358)), _u5359)), c_Groups_Oone__class_Oone(_u5355)), _u5357) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5355), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5355, _u5356, c_Groups_Otimes__class_Otimes(_u5355)), _u5358), c_Groups_Oone__class_Oone(_u5355)), _u5357)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5355, _u5356, c_Groups_Otimes__class_Otimes(_u5355)), _u5359), c_Groups_Oone__class_Oone(_u5355)), _u5357))) )).
% 12.21/12.44 cnf(matrix-2513, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5361), _u5365)) | ( hAPP(hAPP(_u5364, _u5366), _u5365) = _u5363) | ~c_Big__Operators_Ocomm__monoid__big(_u5360, _u5361, _u5362, _u5363, _u5364) )).
% 12.21/12.44 cnf(matrix-2514, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5367) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5368), _u5369)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5368), _u5370)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5367), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), _u5369)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), _u5370)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5367), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5368, tc_HOL_Obool)), _u5369), _u5370))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5367, _u5368, c_Groups_Otimes__class_Otimes(_u5367)), _u5371), c_Groups_Oone__class_Oone(_u5367)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5368, tc_HOL_Obool)), _u5369), _u5370)))) )).
% 12.21/12.44 cnf(matrix-2515, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5373), _u5374)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5373), _u5375)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5373, tc_HOL_Obool)), _u5374), _u5375) != c_Orderings_Obot__class_Obot(tc_fun(_u5373, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5372, _u5373, c_Groups_Otimes__class_Otimes(_u5372)), _u5376), c_Groups_Oone__class_Oone(_u5372)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5373, tc_HOL_Obool)), _u5374), _u5375)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5372), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5372, _u5373, c_Groups_Otimes__class_Otimes(_u5372)), _u5376), c_Groups_Oone__class_Oone(_u5372)), _u5374)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5372, _u5373, c_Groups_Otimes__class_Otimes(_u5372)), _u5376), c_Groups_Oone__class_Oone(_u5372)), _u5375))) )).
% 12.21/12.44 cnf(matrix-2516, plain, ( ~class_Rings_Ocomm__ring__1(_u5377) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), _u5378) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5377), hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), c_Groups_Oone__class_Oone(_u5377))), _u5378)) )).
% 12.21/12.44 cnf(matrix-2517, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5380) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5382)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5383)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5381, tc_HOL_Obool)), _u5382), _u5383)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5380), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5382)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5383))) | hBOOL(hAPP(hAPP(c_member(_u5381), skolem108(_u5384, _u5383, _u5382, _u5381, _u5380)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5381, tc_HOL_Obool)), _u5382), _u5383))) )).
% 12.21/12.44 cnf(matrix-2518, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5380) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5382)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), _u5383)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5381, tc_HOL_Obool)), _u5382), _u5383)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5380), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5382)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5380, _u5381, c_Groups_Otimes__class_Otimes(_u5380)), _u5384), c_Groups_Oone__class_Oone(_u5380)), _u5383))) | ( hAPP(_u5384, skolem108(_u5384, _u5383, _u5382, _u5381, _u5380)) != c_Groups_Oone__class_Oone(_u5380)) )).
% 12.21/12.44 cnf(matrix-2519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5385), _u5386)) | ~hBOOL(hAPP(hAPP(c_member(_u5385), _u5387), _u5386)) | ( hAPP(c_Finite__Set_Ocard(_u5385), _u5386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u5385), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5385, tc_HOL_Obool)), _u5386), hAPP(hAPP(c_Set_Oinsert(_u5385), _u5387), c_Orderings_Obot__class_Obot(tc_fun(_u5385, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2520, plain, ( ~class_Rings_Ocomm__semiring__1(_u5388) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5388), c_Groups_Oone__class_Oone(_u5388)), _u5389) = _u5389) )).
% 12.21/12.44 cnf(matrix-2521, plain, ( ~class_Rings_Ocomm__semiring__1(_u5390) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5391), c_Groups_Oone__class_Oone(_u5390)) = _u5391) )).
% 12.21/12.44 cnf(matrix-2522, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5392), _u5393)) | ( hAPP(c_Finite__Set_Ocard(_u5392), hAPP(hAPP(c_Set_Oinsert(_u5392), _u5394), _u5393)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u5392), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5392, tc_HOL_Obool)), _u5393), hAPP(hAPP(c_Set_Oinsert(_u5392), _u5394), c_Orderings_Obot__class_Obot(tc_fun(_u5392, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2523, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5395), _u5396)) | ~hBOOL(hAPP(hAPP(c_member(_u5395), _u5397), _u5396)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5395), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5395, tc_HOL_Obool)), _u5396), hAPP(hAPP(c_Set_Oinsert(_u5395), _u5397), c_Orderings_Obot__class_Obot(tc_fun(_u5395, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u5395), _u5396)) )).
% 12.21/12.44 cnf(matrix-2524, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5398), hAPP(c_Nat_OSuc, _u5398))) )).
% 12.21/12.44 cnf(matrix-2525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5399), _u5400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5399)), hAPP(c_Nat_OSuc, _u5400))) )).
% 12.21/12.44 cnf(matrix-2526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5405), _u5407)) | ( _u5407 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5405), skolem109(_u5407, _u5405)))) )).
% 12.21/12.44 cnf(matrix-2527, plain, ( ( _u5408 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5406), _u5402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5406), _u5408)) )).
% 12.21/12.44 cnf(matrix-2528, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5409), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5410), _u5409)))) )).
% 12.21/12.44 cnf(matrix-2529, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5411), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5411), _u5412)))) )).
% 12.21/12.44 cnf(matrix-2530, 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)), _u5413), _u5414) )).
% 12.21/12.44 cnf(matrix-2531, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u5415) )).
% 12.21/12.44 cnf(matrix-2532, plain, ( ( _u5416 != hAPP(c_Nat_OSuc, _u5416)) )).
% 12.21/12.44 cnf(matrix-2533, plain, ( ( hAPP(c_Nat_OSuc, _u5417) != _u5417) )).
% 12.21/12.44 cnf(matrix-2534, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5418), _u5419) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5419), _u5418)) )).
% 12.21/12.44 cnf(matrix-2535, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5420), hAPP(c_Nat_OSuc, _u5421)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5420), _u5421))) )).
% 12.21/12.44 cnf(matrix-2536, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5423), _u5424)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5422), _u5424))) )).
% 12.21/12.44 cnf(matrix-2537, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5425)), _u5426) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5425), _u5426))) )).
% 12.21/12.44 cnf(matrix-2538, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5427)), _u5428) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5427), hAPP(c_Nat_OSuc, _u5428))) )).
% 12.21/12.44 cnf(matrix-2539, plain, ( ( hAPP(c_Nat_OSuc, _u5431) != hAPP(c_Nat_OSuc, _u5433)) | ( _u5431 = _u5433) )).
% 12.21/12.44 cnf(matrix-2540, plain, ( ( _u5432 != _u5434) | ( hAPP(c_Nat_OSuc, _u5432) = hAPP(c_Nat_OSuc, _u5434)) )).
% 12.21/12.44 cnf(matrix-2541, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5435), _u5436)), _u5437) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5435), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5436), _u5437))) )).
% 12.21/12.44 cnf(matrix-2542, plain, ( ( _u5443 = _u5445) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5441), _u5443) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5441), _u5445)) )).
% 12.21/12.44 cnf(matrix-2543, plain, ( ( _u5444 != _u5446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5442), _u5444) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5442), _u5446)) )).
% 12.21/12.44 cnf(matrix-2544, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5450), _u5452) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5454), _u5452)) | ( _u5450 = _u5454) )).
% 12.21/12.44 cnf(matrix-2545, plain, ( ( _u5451 != _u5455) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5451), _u5453) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5455), _u5453)) )).
% 12.21/12.44 cnf(matrix-2546, plain, ( ( hAPP(c_Nat_OSuc, _u5456) != hAPP(c_Nat_OSuc, _u5457)) | ( _u5456 = _u5457) )).
% 12.21/12.44 cnf(matrix-2547, plain, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 12.21/12.44 cnf(matrix-2548, plain, ( ~class_Rings_Ocomm__semiring__1(_u5458) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5459), _u5460)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5461), _u5462)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5459), _u5461)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5458), _u5460), _u5462))) )).
% 12.21/12.44 cnf(matrix-2549, plain, ( ~class_Rings_Ocomm__semiring__1(_u5463) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), _u5464), _u5465)), _u5466) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), _u5464), _u5466)), _u5465)) )).
% 12.21/12.44 cnf(matrix-2550, plain, ( ~class_Rings_Ocomm__semiring__1(_u5467) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5468), _u5469)), _u5470) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5467), _u5469), _u5470))) )).
% 12.21/12.44 cnf(matrix-2551, plain, ( ~class_Rings_Ocomm__semiring__1(_u5471) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), _u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), _u5473), _u5474)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5471), _u5472), _u5473)), _u5474)) )).
% 12.21/12.44 cnf(matrix-2552, plain, ( ~class_Rings_Ocomm__semiring__1(_u5475) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5477), _u5478)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5476), _u5478))) )).
% 12.21/12.44 cnf(matrix-2553, plain, ( ~class_Rings_Ocomm__semiring__1(_u5479) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5480), _u5481) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5481), _u5480)) )).
% 12.21/12.44 cnf(matrix-2554, plain, ( ~class_Groups_Oab__semigroup__add(_u5482) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), _u5483), _u5484)), _u5485) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), _u5483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5482), _u5484), _u5485))) )).
% 12.21/12.44 cnf(matrix-2555, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5486) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5488) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5489)) | ( _u5488 = _u5489) )).
% 12.21/12.44 cnf(matrix-2556, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5486) | ( _u5488 != _u5489) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5488) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5486), _u5487), _u5489)) )).
% 12.21/12.44 cnf(matrix-2557, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5490) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5491), _u5492) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5493), _u5492)) | ( _u5491 = _u5493) )).
% 12.21/12.44 cnf(matrix-2558, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5490) | ( _u5491 != _u5493) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5491), _u5492) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5490), _u5493), _u5492)) )).
% 12.21/12.44 cnf(matrix-2559, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5494) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), _u5495), _u5496) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), _u5495), _u5497)) | ( _u5496 = _u5497) )).
% 12.21/12.44 cnf(matrix-2560, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u5498) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), _u5499), _u5500) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), _u5499), _u5501)) | ( _u5500 = _u5501) )).
% 12.21/12.44 cnf(matrix-2561, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5502) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5503), _u5504) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5505), _u5504)) | ( _u5503 = _u5505) )).
% 12.21/12.44 cnf(matrix-2562, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5506) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5508)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5510)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5508))) | ( _u5507 = _u5509) | ( _u5508 = _u5510) )).
% 12.21/12.44 cnf(matrix-2563, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5506) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5508)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5510)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5508))) | ( _u5507 != _u5509) )).
% 12.21/12.44 cnf(matrix-2564, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5506) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5508)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5510)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5507), _u5510)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5509), _u5508))) | ( _u5508 != _u5510) )).
% 12.21/12.44 cnf(matrix-2565, plain, ( ~class_Rings_Ocomm__semiring__1(_u5511) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5511), _u5512), _u5513)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5511), _u5514), _u5513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5511), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5511), _u5512), _u5514)), _u5513)) )).
% 12.21/12.44 cnf(matrix-2566, plain, ( ~class_Rings_Ocomm__semiring__1(_u5515) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), _u5516), _u5517)), _u5518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5518)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5517), _u5518))) )).
% 12.21/12.44 cnf(matrix-2567, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5519) | ( _u5520 = _u5521) | ( _u5522 = _u5523) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5523)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5523)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5522))) )).
% 12.21/12.44 cnf(matrix-2568, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5523)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5522))) | ( _u5520 != _u5521) )).
% 12.21/12.44 cnf(matrix-2569, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5523)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5521), _u5522))) | ( _u5522 != _u5523) )).
% 12.21/12.44 cnf(matrix-2570, plain, ( ~class_Rings_Ocomm__semiring__1(_u5524) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5525), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5524), _u5526), _u5527)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5525), _u5526)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5524), _u5525), _u5527))) )).
% 12.21/12.44 cnf(matrix-2571, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5528), hAPP(c_Nat_OSuc, _u5529)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5528), _u5529))) )).
% 12.21/12.44 cnf(matrix-2572, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5530)), _u5531) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5530), _u5531))) )).
% 12.21/12.44 cnf(matrix-2573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5532), _u5533)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5534), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5533), _u5532))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5534), _u5532)), hAPP(c_Nat_OSuc, _u5533))) )).
% 12.21/12.44 cnf(matrix-2574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5535), _u5536)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5536), _u5535))), _u5537) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5535), _u5537))) )).
% 12.21/12.44 cnf(matrix-2575, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5539), _u5540)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5541), _u5540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), _u5539), _u5541)) )).
% 12.21/12.44 cnf(matrix-2576, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), _u5539), _u5541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5538), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5539), _u5540)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5541), _u5540))) )).
% 12.21/12.44 cnf(matrix-2577, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5545))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), _u5544), _u5545)) )).
% 12.21/12.44 cnf(matrix-2578, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), _u5544), _u5545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5542), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5545))) )).
% 12.21/12.44 cnf(matrix-2579, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), _u5547), _u5548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5546), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5546), _u5547), _u5549)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5546), _u5548), _u5549))) )).
% 12.21/12.44 cnf(matrix-2580, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), _u5551), _u5552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5550), _u5553), _u5551)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5550), _u5553), _u5552))) )).
% 12.21/12.44 cnf(matrix-2581, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5555), _u5556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), _u5557), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5554), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5554), _u5555), _u5557)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5554), _u5556), _u5558))) )).
% 12.21/12.44 cnf(matrix-2582, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5559), _u5560), _u5561)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5559), _u5562), _u5561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5559), _u5560), _u5562)) )).
% 12.21/12.44 cnf(matrix-2583, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5563), _u5564), _u5565)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5563), _u5564), _u5566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5563), _u5565), _u5566)) )).
% 12.21/12.44 cnf(matrix-2584, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5567), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5567), _u5568), _u5569)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5567), _u5568), _u5570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5567), _u5569), _u5570)) )).
% 12.21/12.44 cnf(matrix-2585, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5571), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5571), _u5572), _u5573)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5571), _u5574), _u5573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5571), _u5572), _u5574)) )).
% 12.21/12.44 cnf(matrix-2586, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5576), _u5577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), _u5578), _u5579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5575), _u5576), _u5578)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5575), _u5577), _u5579))) )).
% 12.21/12.44 cnf(matrix-2587, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), _u5581), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5580), _u5583), _u5581)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5580), _u5583), _u5582))) )).
% 12.21/12.44 cnf(matrix-2588, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), _u5585), _u5586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5584), _u5585), _u5587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5584), _u5586), _u5587))) )).
% 12.21/12.44 cnf(matrix-2589, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), _u5591)) )).
% 12.21/12.44 cnf(matrix-2590, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5591))) )).
% 12.21/12.44 cnf(matrix-2591, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5593), _u5594)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5595), _u5594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5593), _u5595)) )).
% 12.21/12.44 cnf(matrix-2592, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5593), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5593), _u5594)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5592), _u5595), _u5594))) )).
% 12.21/12.44 cnf(matrix-2593, plain, ( ~class_Orderings_Oorder(_u5598) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u5598, _u5599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(_u5599, _u5596)), hAPP(_u5599, hAPP(c_Nat_OSuc, _u5596)))) )).
% 12.21/12.44 cnf(matrix-2594, plain, ( ~class_Orderings_Oorder(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(_u5599, skolem110(_u5599, _u5598))), hAPP(_u5599, hAPP(c_Nat_OSuc, skolem110(_u5599, _u5598))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u5598, _u5599) )).
% 12.21/12.44 cnf(matrix-2595, plain, ( ~class_Rings_Ocomm__semiring(_u5600) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5600), _u5601), _u5602)), _u5603) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), _u5601), _u5603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), _u5602), _u5603))) )).
% 12.21/12.44 cnf(matrix-2596, plain, ( ~class_Rings_Osemiring(_u5604) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), _u5605), _u5606)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), _u5607), _u5606)), _u5608)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5604), _u5605), _u5607)), _u5606)), _u5608)) )).
% 12.21/12.44 cnf(matrix-2597, plain, ( ~class_Groups_Ogroup__add(_u5609) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5609), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5609), _u5610), _u5611)), _u5611) = _u5610) )).
% 12.21/12.44 cnf(matrix-2598, plain, ( ~class_Groups_Ogroup__add(_u5612) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5612), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5612), _u5613), _u5614)), _u5614) = _u5613) )).
% 12.21/12.44 cnf(matrix-2599, plain, ( ~class_Groups_Oab__group__add(_u5615) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5615), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5615), _u5616), _u5617)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5615), hAPP(c_Groups_Ouminus__class_Ouminus(_u5615), _u5616)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5615), _u5617))) )).
% 12.21/12.44 cnf(matrix-2600, plain, ( ~class_Groups_Ogroup__add(_u5618) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5618), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5618), _u5619), _u5620)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5618), hAPP(c_Groups_Ouminus__class_Ouminus(_u5618), _u5620)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5618), _u5619))) )).
% 12.21/12.44 cnf(matrix-2601, plain, ( ~class_Groups_Ogroup__add(_u5621) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5621), _u5622), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5621), hAPP(c_Groups_Ouminus__class_Ouminus(_u5621), _u5622)), _u5623)) = _u5623) )).
% 12.21/12.44 cnf(matrix-2602, plain, ( ~class_Groups_Ogroup__add(_u5624) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5624), hAPP(c_Groups_Ouminus__class_Ouminus(_u5624), _u5625)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5624), _u5625), _u5626)) = _u5626) )).
% 12.21/12.44 cnf(matrix-2603, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5629), _u5631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5631), hAPP(c_Nat_OSuc, _u5629))) )).
% 12.21/12.44 cnf(matrix-2604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5632), hAPP(c_Nat_OSuc, _u5630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5630), _u5632)) )).
% 12.21/12.44 cnf(matrix-2605, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5635), hAPP(c_Nat_OSuc, _u5637))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5635), _u5637)) | ( _u5635 = _u5637) )).
% 12.21/12.44 cnf(matrix-2606, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), hAPP(c_Nat_OSuc, _u5638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), _u5638)) )).
% 12.21/12.44 cnf(matrix-2607, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5636), hAPP(c_Nat_OSuc, _u5638))) | ( _u5636 != _u5638) )).
% 12.21/12.44 cnf(matrix-2608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5641)), hAPP(c_Nat_OSuc, _u5643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5641), _u5643)) )).
% 12.21/12.44 cnf(matrix-2609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5642), _u5644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5642)), hAPP(c_Nat_OSuc, _u5644))) )).
% 12.21/12.44 cnf(matrix-2610, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), _u5646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), hAPP(c_Nat_OSuc, _u5646))) | ( _u5645 = _u5646) )).
% 12.21/12.44 cnf(matrix-2611, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), _u5646)) | ( _u5645 != _u5646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5645), hAPP(c_Nat_OSuc, _u5646))) )).
% 12.21/12.44 cnf(matrix-2612, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5647), _u5648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5647), hAPP(c_Nat_OSuc, _u5648))) | ( _u5648 = _u5647) )).
% 12.21/12.44 cnf(matrix-2613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5649), _u5650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5649), hAPP(c_Nat_OSuc, _u5650))) )).
% 12.21/12.44 cnf(matrix-2614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5651), _u5652)) | ( hAPP(c_Nat_OSuc, _u5651) = _u5652) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5651)), _u5652)) )).
% 12.21/12.44 cnf(matrix-2615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5653), _u5654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5654), _u5655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5653)), _u5655)) )).
% 12.21/12.44 cnf(matrix-2616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5656), hAPP(c_Nat_OSuc, _u5657))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5656), _u5657)) | ( _u5656 = _u5657) )).
% 12.21/12.44 cnf(matrix-2617, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5658)), _u5659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5658), _u5659)) )).
% 12.21/12.44 cnf(matrix-2618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5660)), hAPP(c_Nat_OSuc, _u5661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5660), _u5661)) )).
% 12.21/12.44 cnf(matrix-2619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5662)), _u5663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5662), _u5663)) )).
% 12.21/12.44 cnf(matrix-2620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5664), hAPP(c_Nat_OSuc, _u5665))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5664), _u5665)) | ( _u5664 = hAPP(c_Nat_OSuc, _u5665)) )).
% 12.21/12.44 cnf(matrix-2621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5666), _u5667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5666), hAPP(c_Nat_OSuc, _u5667))) )).
% 12.21/12.44 cnf(matrix-2622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5670)), hAPP(c_Nat_OSuc, _u5672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5670), _u5672)) )).
% 12.21/12.44 cnf(matrix-2623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5671), _u5673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5671)), hAPP(c_Nat_OSuc, _u5673))) )).
% 12.21/12.44 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5676), hAPP(c_Nat_OSuc, _u5678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5676), _u5678)) | ( _u5676 = hAPP(c_Nat_OSuc, _u5678)) )).
% 12.21/12.44 cnf(matrix-2625, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5677), hAPP(c_Nat_OSuc, _u5679))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5677), _u5679)) )).
% 12.21/12.44 cnf(matrix-2626, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5677), hAPP(c_Nat_OSuc, _u5679))) | ( _u5677 != hAPP(c_Nat_OSuc, _u5679)) )).
% 12.21/12.44 cnf(matrix-2627, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5682), _u5684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5684)), _u5682)) )).
% 12.21/12.44 cnf(matrix-2628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5685)), _u5683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5683), _u5685)) )).
% 12.21/12.44 cnf(matrix-2629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5686)), _u5686)) )).
% 12.21/12.44 cnf(matrix-2630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5687), _u5688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5687), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5688), _u5689))) )).
% 12.21/12.44 cnf(matrix-2631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5690), _u5691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5690), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5692), _u5691))) )).
% 12.21/12.44 cnf(matrix-2632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5693), _u5694)), _u5693)) )).
% 12.21/12.44 cnf(matrix-2633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5695), _u5696)), _u5696)) )).
% 12.21/12.44 cnf(matrix-2634, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5702), _u5704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5700), _u5702)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5700), _u5704))) )).
% 12.21/12.44 cnf(matrix-2635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5703), _u5705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), _u5703)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), _u5705))) )).
% 12.21/12.44 cnf(matrix-2636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5706), _u5707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5706), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5707), _u5708))) )).
% 12.21/12.44 cnf(matrix-2637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5709), _u5710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5709), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5711), _u5710))) )).
% 12.21/12.44 cnf(matrix-2638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5712), _u5713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5712), _u5714)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5713), _u5714))) )).
% 12.21/12.44 cnf(matrix-2639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5715), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5717), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5715), _u5717)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5716), _u5718))) )).
% 12.21/12.44 cnf(matrix-2640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5719), _u5720)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5721), _u5720) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5719), _u5722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5721), _u5722)) )).
% 12.21/12.44 cnf(matrix-2641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5723), _u5724)), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5723), _u5725)) )).
% 12.21/12.44 cnf(matrix-2642, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5726)), hAPP(c_Nat_OSuc, _u5727)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5726), _u5727)) )).
% 12.21/12.44 cnf(matrix-2643, 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, _u5728)), _u5729)), hAPP(c_Nat_OSuc, _u5730)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5728), _u5729)), _u5730)) )).
% 12.21/12.44 cnf(matrix-2644, plain, ( ( _u5736 = _u5738) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5734)), _u5736) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5734)), _u5738)) )).
% 12.21/12.44 cnf(matrix-2645, plain, ( ( _u5737 != _u5739) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5735)), _u5737) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5735)), _u5739)) )).
% 12.21/12.44 cnf(matrix-2646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5740), _u5741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5740), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5742), _u5741))) )).
% 12.21/12.44 cnf(matrix-2647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5743), _u5744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5743), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5744), _u5745))) )).
% 12.21/12.44 cnf(matrix-2648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5746), _u5747)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5746), _u5748)) )).
% 12.21/12.44 cnf(matrix-2649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5746), _u5747)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5747), _u5748)) )).
% 12.21/12.44 cnf(matrix-2650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5749), _u5750)), _u5751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5749), _u5751)) )).
% 12.21/12.44 cnf(matrix-2651, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5753), _u5754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), _u5753)), _u5754)) )).
% 12.21/12.44 cnf(matrix-2652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5755), _u5756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5757), _u5758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5755), _u5757)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5756), _u5758))) )).
% 12.21/12.44 cnf(matrix-2653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5759), _u5760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5759), _u5761)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5760), _u5761))) )).
% 12.21/12.44 cnf(matrix-2654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5764), _u5763))) )).
% 12.21/12.44 cnf(matrix-2655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5766), _u5767))) )).
% 12.21/12.44 cnf(matrix-2656, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5773), _u5775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5771), _u5773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5771), _u5775))) )).
% 12.21/12.44 cnf(matrix-2657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5774), _u5776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), _u5774)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), _u5776))) )).
% 12.21/12.44 cnf(matrix-2658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5781), _u5783)) | ( _u5783 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5781), skolem111(_u5783, _u5781))) )).
% 12.21/12.44 cnf(matrix-2659, plain, ( ( _u5784 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5782), _u5778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5782), _u5784)) )).
% 12.21/12.44 cnf(matrix-2660, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5785), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5785), _u5786))) )).
% 12.21/12.44 cnf(matrix-2661, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5787), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5788), _u5787))) )).
% 12.21/12.44 cnf(matrix-2662, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5789), _u5790)), _u5790) = _u5789) )).
% 12.21/12.44 cnf(matrix-2663, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5791), _u5792)), _u5791) = _u5792) )).
% 12.21/12.44 cnf(matrix-2664, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5793), _u5794)), _u5795) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5794), _u5795))) )).
% 12.21/12.44 cnf(matrix-2665, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5796), _u5797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5796), _u5798)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5797), _u5798)) )).
% 12.21/12.44 cnf(matrix-2666, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5799), _u5800)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5801), _u5800)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5799), _u5801)) )).
% 12.21/12.44 cnf(matrix-2667, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5802), _u5803)), _u5804) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5802), _u5804)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5803), _u5804))) )).
% 12.21/12.44 cnf(matrix-2668, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5805), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5806), _u5807)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5805), _u5806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5805), _u5807))) )).
% 12.21/12.44 cnf(matrix-2669, plain, ( ~class_Rings_Ocomm__semiring__1(_u5808) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5808), _u5809), _u5810)), _u5810) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5808), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5808), _u5809), c_Groups_Oone__class_Oone(_u5808))), _u5810)) )).
% 12.21/12.44 cnf(matrix-2670, plain, ( ~class_Rings_Ocomm__semiring__1(_u5811) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5811), _u5812), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5811), _u5813), _u5812)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5811), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5811), _u5813), c_Groups_Oone__class_Oone(_u5811))), _u5812)) )).
% 12.21/12.44 cnf(matrix-2671, plain, ( ~class_Rings_Ocomm__semiring__1(_u5814) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5814), _u5815), _u5815) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5814), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5814), c_Groups_Oone__class_Oone(_u5814)), c_Groups_Oone__class_Oone(_u5814))), _u5815)) )).
% 12.21/12.44 cnf(matrix-2672, plain, ( ~class_Rings_Ocomm__ring__1(_u5816) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5816), _u5817), _u5818) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5816), _u5817), hAPP(c_Groups_Ouminus__class_Ouminus(_u5816), _u5818))) )).
% 12.21/12.44 cnf(matrix-2673, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5819) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5819), _u5820), _u5821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5819), _u5822), _u5823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5819), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5819), _u5820), _u5822)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5819), _u5821), _u5823))) )).
% 12.21/12.44 cnf(matrix-2674, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5824), _u5825), _u5826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5824), _u5827), _u5828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5824), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5824), _u5825), _u5827)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5824), _u5826), _u5828))) )).
% 12.21/12.44 cnf(matrix-2675, plain, ( ~class_Rings_Olinordered__semidom(_u5829) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5829), _u5830), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5829), _u5830), c_Groups_Oone__class_Oone(_u5829)))) )).
% 12.21/12.44 cnf(matrix-2676, plain, ( ~class_Rings_Oring(_u5831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5832), _u5833)), _u5834) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5835), _u5833)), _u5836)) | ( _u5834 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5831), _u5835), _u5832)), _u5833)), _u5836)) )).
% 12.21/12.44 cnf(matrix-2677, plain, ( ~class_Rings_Oring(_u5831) | ( _u5834 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5831), _u5835), _u5832)), _u5833)), _u5836)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5832), _u5833)), _u5834) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5831), _u5835), _u5833)), _u5836)) )).
% 12.21/12.44 cnf(matrix-2678, plain, ( ~class_Rings_Oring(_u5837) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5838), _u5839)), _u5840) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5841), _u5839)), _u5842)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5837), _u5838), _u5841)), _u5839)), _u5840) = _u5842) )).
% 12.21/12.44 cnf(matrix-2679, plain, ( ~class_Rings_Oring(_u5837) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5837), _u5838), _u5841)), _u5839)), _u5840) != _u5842) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5838), _u5839)), _u5840) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5837), _u5841), _u5839)), _u5842)) )).
% 12.21/12.44 cnf(matrix-2680, plain, ( ~class_Groups_Ogroup__add(_u5843) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5843), _u5844), _u5845) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5843), _u5844), hAPP(c_Groups_Ouminus__class_Ouminus(_u5843), _u5845))) )).
% 12.21/12.44 cnf(matrix-2681, plain, ( ~class_Groups_Oab__group__add(_u5846) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5846), _u5847), _u5848) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5846), _u5847), hAPP(c_Groups_Ouminus__class_Ouminus(_u5846), _u5848))) )).
% 12.21/12.44 cnf(matrix-2682, plain, ( ~class_Groups_Ogroup__add(_u5849) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5849), _u5850), hAPP(c_Groups_Ouminus__class_Ouminus(_u5849), _u5851)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5849), _u5850), _u5851)) )).
% 12.21/12.44 cnf(matrix-2683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5852)), _u5853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5852), _u5853)) )).
% 12.21/12.44 cnf(matrix-2684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5854), _u5855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5855), hAPP(c_Nat_OSuc, _u5854))) | ( _u5855 = _u5854) )).
% 12.21/12.44 cnf(matrix-2685, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5854), _u5855)) | ( _u5855 != _u5854) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5855), hAPP(c_Nat_OSuc, _u5854))) )).
% 12.21/12.44 cnf(matrix-2686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5856), _u5857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5856)), _u5857)) )).
% 12.21/12.44 cnf(matrix-2687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5858), _u5859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5858), hAPP(c_Nat_OSuc, _u5859))) )).
% 12.21/12.44 cnf(matrix-2688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5862)), _u5864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5862), _u5864)) )).
% 12.21/12.44 cnf(matrix-2689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5863), _u5865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5863)), _u5865)) )).
% 12.21/12.44 cnf(matrix-2690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5868), hAPP(c_Nat_OSuc, _u5870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5868), _u5870)) )).
% 12.21/12.44 cnf(matrix-2691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5869), _u5871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5869), hAPP(c_Nat_OSuc, _u5871))) )).
% 12.21/12.44 cnf(matrix-2692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5874), _u5876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5874)), _u5876)) )).
% 12.21/12.44 cnf(matrix-2693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5875)), _u5877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5875), _u5877)) )).
% 12.21/12.44 cnf(matrix-2694, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5878), _u5879)), hAPP(c_Nat_OSuc, _u5878))) )).
% 12.21/12.44 cnf(matrix-2695, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5885), _u5887)) | ~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, _u5883)), _u5885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5883)), _u5887))) )).
% 12.21/12.44 cnf(matrix-2696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5886), _u5888)) | 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, _u5884)), _u5886)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5884)), _u5888))) )).
% 12.21/12.44 cnf(matrix-2697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5889), _u5890)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5890)), _u5889) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5890), _u5889))) )).
% 12.21/12.44 cnf(matrix-2698, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5896), _u5898)) | ~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, _u5894)), _u5896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5894)), _u5898))) )).
% 12.21/12.44 cnf(matrix-2699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5897), _u5899)) | 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, _u5895)), _u5897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5895)), _u5899))) )).
% 12.21/12.44 cnf(matrix-2700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5903), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5905), _u5907))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5903), _u5907)), _u5905)) )).
% 12.21/12.44 cnf(matrix-2701, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5904), _u5908)), _u5906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5904), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5906), _u5908))) )).
% 12.21/12.44 cnf(matrix-2702, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5909), _u5910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5909), _u5910)) = _u5909) )).
% 12.21/12.44 cnf(matrix-2703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5912), _u5911)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5913), _u5911)), _u5912)) )).
% 12.21/12.44 cnf(matrix-2704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5917), _u5919)), _u5921)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5921), _u5919))) )).
% 12.21/12.44 cnf(matrix-2705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5918), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5922), _u5920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5918), _u5920)), _u5922)) )).
% 12.21/12.44 cnf(matrix-2706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5923), _u5924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5925), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5924), _u5925)), _u5923))) )).
% 12.21/12.44 cnf(matrix-2707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5926), _u5927)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5926), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5927), _u5926)) = _u5927) )).
% 12.21/12.44 cnf(matrix-2708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5928), _u5929)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5930), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5929), _u5928)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5930), _u5929)), _u5928)) )).
% 12.21/12.44 cnf(matrix-2709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5931), _u5932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5932), _u5931))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5933), _u5931)), _u5932)) )).
% 12.21/12.44 cnf(matrix-2710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5931), _u5932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5933), _u5931)), _u5932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5932), _u5931))) )).
% 12.21/12.44 cnf(matrix-2711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5934), _u5935)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5935), _u5934)), _u5934) = _u5935) )).
% 12.21/12.44 cnf(matrix-2712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5936), _u5937)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5937), _u5936) != _u5938) | ( _u5937 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5938), _u5936)) )).
% 12.21/12.44 cnf(matrix-2713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5936), _u5937)) | ( _u5937 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5938), _u5936)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5937), _u5936) = _u5938) )).
% 12.21/12.44 cnf(matrix-2714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5939), _u5940)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5941), _u5940)), _u5939) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5941), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5940), _u5939))) )).
% 12.21/12.44 cnf(matrix-2715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5942), _u5943)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5943), _u5942)), _u5944) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5943), _u5944)), _u5942)) )).
% 12.21/12.44 cnf(matrix-2716, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5945), _u5946)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5946), _u5947)), _u5945) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5946), _u5945)), _u5947)) )).
% 12.21/12.44 cnf(matrix-2717, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5948)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5948) )).
% 12.21/12.44 cnf(matrix-2718, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5949) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5949))) )).
% 12.21/12.44 cnf(matrix-2719, plain, ( ~class_Rings_Oordered__ring(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5951), _u5952)), _u5953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5954), _u5952)), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), _u5953), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5950), _u5954), _u5951)), _u5952)), _u5955))) )).
% 12.21/12.44 cnf(matrix-2720, plain, ( ~class_Rings_Oordered__ring(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), _u5953), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5950), _u5954), _u5951)), _u5952)), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5951), _u5952)), _u5953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5954), _u5952)), _u5955))) )).
% 12.21/12.44 cnf(matrix-2721, plain, ( ~class_Rings_Oordered__ring(_u5956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5957), _u5958)), _u5959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5960), _u5958)), _u5961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5957), _u5960)), _u5958)), _u5959)), _u5961)) )).
% 12.21/12.44 cnf(matrix-2722, plain, ( ~class_Rings_Oordered__ring(_u5956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5957), _u5960)), _u5958)), _u5959)), _u5961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5957), _u5958)), _u5959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5956), _u5960), _u5958)), _u5961))) )).
% 12.21/12.44 cnf(matrix-2723, plain, ( ~class_Rings_Oordered__ring(_u5962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5963), _u5964)), _u5965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5966), _u5964)), _u5967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), _u5965), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5962), _u5966), _u5963)), _u5964)), _u5967))) )).
% 12.21/12.44 cnf(matrix-2724, plain, ( ~class_Rings_Oordered__ring(_u5962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), _u5965), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5962), _u5966), _u5963)), _u5964)), _u5967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5963), _u5964)), _u5965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5962), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5962), _u5966), _u5964)), _u5967))) )).
% 12.21/12.44 cnf(matrix-2725, plain, ( ~class_Rings_Oordered__ring(_u5968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5969), _u5970)), _u5971)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5972), _u5970)), _u5973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5968), _u5969), _u5972)), _u5970)), _u5971)), _u5973)) )).
% 12.21/12.44 cnf(matrix-2726, plain, ( ~class_Rings_Oordered__ring(_u5968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5968), _u5969), _u5972)), _u5970)), _u5971)), _u5973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5968), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5969), _u5970)), _u5971)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5968), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5972), _u5970)), _u5973))) )).
% 12.21/12.44 cnf(matrix-2727, plain, ( ~class_Rings_Ocomm__semiring__1(_u5974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5975), _u5976)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5977), _u5978)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5975), _u5977)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5974), _u5976), _u5978))) )).
% 12.21/12.44 cnf(matrix-2728, plain, ( ~class_Rings_Ocomm__semiring__1(_u5979) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5980), _u5981)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5982), _u5983)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5982), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5979), _u5980), _u5981)), _u5983))) )).
% 12.21/12.44 cnf(matrix-2729, plain, ( ~class_Rings_Ocomm__semiring__1(_u5984) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5985), _u5986)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5987), _u5988)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5985), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5984), _u5987), _u5988)))) )).
% 12.21/12.44 cnf(matrix-2730, plain, ( ~class_Rings_Ocomm__semiring__1(_u5989) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), _u5990), _u5991)), _u5992) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5989), _u5990), _u5992)), _u5991)) )).
% 12.21/12.44 cnf(matrix-2731, plain, ( ~class_Rings_Ocomm__semiring__1(_u5993) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), _u5994), _u5995)), _u5996) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), _u5994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5993), _u5995), _u5996))) )).
% 12.21/12.44 cnf(matrix-2732, plain, ( ~class_Rings_Ocomm__semiring__1(_u5997) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), _u5998), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), _u5999), _u6000)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5997), _u5998), _u5999)), _u6000)) )).
% 12.21/12.44 cnf(matrix-2733, plain, ( ~class_Rings_Ocomm__semiring__1(_u6001) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6003), _u6004)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6001), _u6002), _u6004))) )).
% 12.21/12.44 cnf(matrix-2734, plain, ( ~class_Rings_Ocomm__semiring__1(_u6005) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6005), _u6006), _u6007) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6005), _u6007), _u6006)) )).
% 12.21/12.44 cnf(matrix-2735, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6008), _u6009)) | hBOOL(hAPP(hAPP(c_member(_u6008), _u6010), _u6009)) | ( hAPP(c_Finite__Set_Ocard(_u6008), hAPP(hAPP(c_Set_Oinsert(_u6008), _u6010), _u6009)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6008), _u6009))) )).
% 12.21/12.44 cnf(matrix-2736, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6011), _u6012)) | ~hBOOL(hAPP(hAPP(c_member(_u6011), _u6013), _u6012)) | ( hAPP(c_Finite__Set_Ocard(_u6011), hAPP(hAPP(c_Set_Oinsert(_u6011), _u6013), _u6012)) = hAPP(c_Finite__Set_Ocard(_u6011), _u6012)) )).
% 12.21/12.44 cnf(matrix-2737, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6011), _u6012)) | hBOOL(hAPP(hAPP(c_member(_u6011), _u6013), _u6012)) | ( hAPP(c_Finite__Set_Ocard(_u6011), hAPP(hAPP(c_Set_Oinsert(_u6011), _u6013), _u6012)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6011), _u6012))) )).
% 12.21/12.44 cnf(matrix-2738, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6014), _u6015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6014), _u6016)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6014), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6014, tc_HOL_Obool)), _u6015), _u6016))), hAPP(c_Finite__Set_Ocard(_u6014), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6014, tc_HOL_Obool)), _u6015), _u6016))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6014), _u6015)), hAPP(c_Finite__Set_Ocard(_u6014), _u6016))) )).
% 12.21/12.44 cnf(matrix-2739, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6017), _u6018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6017), _u6019)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6017), _u6018)), hAPP(c_Finite__Set_Ocard(_u6017), _u6019)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6017), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6017, tc_HOL_Obool)), _u6018), _u6019))), hAPP(c_Finite__Set_Ocard(_u6017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6017, tc_HOL_Obool)), _u6018), _u6019)))) )).
% 12.21/12.44 cnf(matrix-2740, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6020), _u6021)) | ( hAPP(c_Finite__Set_Ocard(_u6020), hAPP(hAPP(c_Set_Oinsert(_u6020), _u6022), _u6021)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6020), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6020, tc_HOL_Obool)), _u6021), hAPP(hAPP(c_Set_Oinsert(_u6020), _u6022), c_Orderings_Obot__class_Obot(tc_fun(_u6020, tc_HOL_Obool))))))) )).
% 12.21/12.44 cnf(matrix-2741, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6023), _u6024)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6023), _u6025)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6023, tc_HOL_Obool)), _u6024), _u6025) != c_Orderings_Obot__class_Obot(tc_fun(_u6023, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u6023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6023, tc_HOL_Obool)), _u6024), _u6025)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6023), _u6024)), hAPP(c_Finite__Set_Ocard(_u6023), _u6025))) )).
% 12.21/12.44 cnf(matrix-2742, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6026), _u6027)) | hBOOL(hAPP(hAPP(c_member(_u6026), _u6028), _u6027)) | ( hAPP(c_Finite__Set_Ocard(_u6026), hAPP(hAPP(c_Set_Oinsert(_u6026), _u6028), _u6027)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6026), _u6027))) )).
% 12.21/12.44 cnf(matrix-2743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6029), _u6030)) | ~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), _u6029), _u6031)), _u6032)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6030), _u6031)), _u6033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6032), 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), _u6030), _u6029)), _u6031)), _u6033))) )).
% 12.21/12.44 cnf(matrix-2744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6029), _u6030)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6032), 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), _u6030), _u6029)), _u6031)), _u6033))) | 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), _u6029), _u6031)), _u6032)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6030), _u6031)), _u6033))) )).
% 12.21/12.44 cnf(matrix-2745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6034), _u6035)) | ~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), _u6035), _u6036)), _u6037)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6034), _u6036)), _u6038))) | 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), _u6035), _u6034)), _u6036)), _u6037)), _u6038)) )).
% 12.21/12.44 cnf(matrix-2746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6034), _u6035)) | ~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), _u6035), _u6034)), _u6036)), _u6037)), _u6038)) | 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), _u6035), _u6036)), _u6037)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6034), _u6036)), _u6038))) )).
% 12.21/12.44 cnf(matrix-2747, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6039), _u6040)) | ~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), _u6040), _u6041)), _u6042)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6039), _u6041)), _u6043))) | 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), _u6040), _u6039)), _u6041)), _u6042)), _u6043)) )).
% 12.21/12.44 cnf(matrix-2748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6039), _u6040)) | ~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), _u6040), _u6039)), _u6041)), _u6042)), _u6043)) | 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), _u6040), _u6041)), _u6042)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6039), _u6041)), _u6043))) )).
% 12.21/12.44 cnf(matrix-2749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6044), _u6045)) | ( 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), _u6045), _u6046)), _u6047)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6044), _u6046)), _u6048)) = 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), _u6045), _u6044)), _u6046)), _u6047)), _u6048)) )).
% 12.21/12.44 cnf(matrix-2750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6049), _u6050)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6050), _u6051)), _u6052) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6049), _u6051)), _u6053)) | ( 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), _u6050), _u6049)), _u6051)), _u6052) = _u6053) )).
% 12.21/12.44 cnf(matrix-2751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6049), _u6050)) | ( 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), _u6050), _u6049)), _u6051)), _u6052) != _u6053) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6050), _u6051)), _u6052) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6049), _u6051)), _u6053)) )).
% 12.21/12.44 cnf(matrix-2752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6054), _u6055)) | ~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), _u6054), _u6056)), _u6057)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6055), _u6056)), _u6058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6057), 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), _u6055), _u6054)), _u6056)), _u6058))) )).
% 12.21/12.44 cnf(matrix-2753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6054), _u6055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6057), 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), _u6055), _u6054)), _u6056)), _u6058))) | 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), _u6054), _u6056)), _u6057)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6055), _u6056)), _u6058))) )).
% 12.21/12.44 cnf(matrix-2754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6059), _u6060)) | ( 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), _u6059), _u6061)), _u6062)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6060), _u6061)), _u6063)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6062), 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), _u6060), _u6059)), _u6061)), _u6063))) )).
% 12.21/12.44 cnf(matrix-2755, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6064), _u6065)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6066), _u6065)), _u6067)) = 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), _u6064), _u6066)), _u6065)), _u6067)) )).
% 12.21/12.44 cnf(matrix-2756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6068), _u6069)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6068), _u6070)), _u6071) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6069), _u6070)), _u6072)) | ( _u6071 = 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), _u6069), _u6068)), _u6070)), _u6072)) )).
% 12.21/12.44 cnf(matrix-2757, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6068), _u6069)) | ( _u6071 != 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), _u6069), _u6068)), _u6070)), _u6072)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6068), _u6070)), _u6071) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6069), _u6070)), _u6072)) )).
% 12.21/12.44 cnf(matrix-2758, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6073), hAPP(c_Nat_OSuc, _u6074)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6073), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6074)) )).
% 12.21/12.44 cnf(matrix-2759, plain, ( ( hAPP(c_Nat_OSuc, _u6075) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6075), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2760, plain, ( ( hAPP(c_Nat_OSuc, _u6076) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6076)) )).
% 12.21/12.44 cnf(matrix-2761, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6077, _u6078)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6077, _u6078), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u6078), c_Orderings_Otop__class_Otop(tc_fun(_u6078, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6077), c_Orderings_Otop__class_Otop(tc_fun(_u6077, tc_HOL_Obool)))) )).
% 12.21/12.44 cnf(matrix-2762, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6079) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6079), _u6080)) | ( _u6080 = c_Orderings_Obot__class_Obot(tc_fun(_u6079, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6079), _u6081), c_Big__Operators_Olinorder__class_OMax(_u6079, _u6080)) = c_Big__Operators_Olinorder__class_OMax(_u6079, hAPP(c_Set_OCollect(_u6079), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_HOL_Obool), tc_HOL_Obool, _u6079), c_HOL_OEx(_u6079)), hAPP(hAPP(c_COMBC(_u6079, tc_fun(_u6079, tc_HOL_Obool), tc_fun(_u6079, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6079, tc_HOL_Obool), tc_fun(_u6079, tc_HOL_Obool)), _u6079), c_COMBS(_u6079, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_HOL_Obool), tc_fun(_u6079, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6079), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6079), c_fconj)), hAPP(hAPP(c_COMBC(_u6079, tc_fun(_u6079, _u6079), tc_fun(_u6079, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6079, tc_HOL_Obool), tc_fun(tc_fun(_u6079, _u6079), tc_fun(_u6079, tc_HOL_Obool)), _u6079), c_COMBB(_u6079, tc_HOL_Obool, _u6079)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6079), _u6081))))), hAPP(hAPP(c_COMBC(_u6079, tc_fun(_u6079, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6079)), _u6080)))))) )).
% 12.21/12.44 cnf(matrix-2763, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6082) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6082), _u6083)) | ( _u6083 = c_Orderings_Obot__class_Obot(tc_fun(_u6082, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6082), _u6084), c_Big__Operators_Olinorder__class_OMin(_u6082, _u6083)) = c_Big__Operators_Olinorder__class_OMin(_u6082, hAPP(c_Set_OCollect(_u6082), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_HOL_Obool), tc_HOL_Obool, _u6082), c_HOL_OEx(_u6082)), hAPP(hAPP(c_COMBC(_u6082, tc_fun(_u6082, tc_HOL_Obool), tc_fun(_u6082, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6082, tc_HOL_Obool), tc_fun(_u6082, tc_HOL_Obool)), _u6082), c_COMBS(_u6082, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_HOL_Obool), tc_fun(_u6082, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6082), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6082), c_fconj)), hAPP(hAPP(c_COMBC(_u6082, tc_fun(_u6082, _u6082), tc_fun(_u6082, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6082, tc_HOL_Obool), tc_fun(tc_fun(_u6082, _u6082), tc_fun(_u6082, tc_HOL_Obool)), _u6082), c_COMBB(_u6082, tc_HOL_Obool, _u6082)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6082), _u6084))))), hAPP(hAPP(c_COMBC(_u6082, tc_fun(_u6082, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6082)), _u6083)))))) )).
% 12.21/12.44 cnf(matrix-2764, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6085), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2765, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6086)) )).
% 12.21/12.44 cnf(matrix-2766, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u6087))) )).
% 12.21/12.44 cnf(matrix-2767, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2768, plain, ( ~class_Groups_Ozero(_u6088) | ( c_Groups_Ozero__class_Ozero(_u6088) != _u6089) | ( _u6089 = c_Groups_Ozero__class_Ozero(_u6088)) )).
% 12.21/12.44 cnf(matrix-2769, plain, ( ~class_Groups_Ozero(_u6088) | ( _u6089 != c_Groups_Ozero__class_Ozero(_u6088)) | ( c_Groups_Ozero__class_Ozero(_u6088) = _u6089) )).
% 12.21/12.44 cnf(matrix-2770, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6090) | ( _u6091 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6090), _u6091), _u6092)) | ( _u6092 = c_Groups_Ozero__class_Ozero(_u6090)) )).
% 12.21/12.44 cnf(matrix-2771, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6090) | ( _u6092 != c_Groups_Ozero__class_Ozero(_u6090)) | ( _u6091 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6090), _u6091), _u6092)) )).
% 12.21/12.44 cnf(matrix-2772, plain, ( ~class_Rings_Ocomm__semiring__1(_u6093) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6093), _u6094), c_Groups_Ozero__class_Ozero(_u6093)) = _u6094) )).
% 12.21/12.44 cnf(matrix-2773, plain, ( ~class_Rings_Ocomm__semiring__1(_u6095) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6095), c_Groups_Ozero__class_Ozero(_u6095)), _u6096) = _u6096) )).
% 12.21/12.44 cnf(matrix-2774, plain, ( ~class_Groups_Omonoid__add(_u6097) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6097), c_Groups_Ozero__class_Ozero(_u6097)), _u6098) = _u6098) )).
% 12.21/12.44 cnf(matrix-2775, plain, ( ~class_Groups_Ocomm__monoid__add(_u6099) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6099), c_Groups_Ozero__class_Ozero(_u6099)), _u6100) = _u6100) )).
% 12.21/12.44 cnf(matrix-2776, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6101) | ( c_Groups_Ozero__class_Ozero(_u6101) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6101), _u6102), _u6102)) | ( _u6102 = c_Groups_Ozero__class_Ozero(_u6101)) )).
% 12.21/12.44 cnf(matrix-2777, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6101) | ( _u6102 != c_Groups_Ozero__class_Ozero(_u6101)) | ( c_Groups_Ozero__class_Ozero(_u6101) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6101), _u6102), _u6102)) )).
% 12.21/12.44 cnf(matrix-2778, plain, ( ~class_Groups_Omonoid__add(_u6103) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6103), _u6104), c_Groups_Ozero__class_Ozero(_u6103)) = _u6104) )).
% 12.21/12.44 cnf(matrix-2779, plain, ( ~class_Groups_Ocomm__monoid__add(_u6105) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6105), _u6106), c_Groups_Ozero__class_Ozero(_u6105)) = _u6106) )).
% 12.21/12.44 cnf(matrix-2780, plain, ( ~class_Rings_Ocomm__semiring__1(_u6107) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6107), _u6108), c_Groups_Ozero__class_Ozero(_u6107)) = c_Groups_Ozero__class_Ozero(_u6107)) )).
% 12.21/12.44 cnf(matrix-2781, plain, ( ~class_Rings_Ocomm__semiring__1(_u6109) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6109), c_Groups_Ozero__class_Ozero(_u6109)), _u6110) = c_Groups_Ozero__class_Ozero(_u6109)) )).
% 12.21/12.44 cnf(matrix-2782, plain, ( ~class_Rings_Omult__zero(_u6111) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6111), c_Groups_Ozero__class_Ozero(_u6111)), _u6112) = c_Groups_Ozero__class_Ozero(_u6111)) )).
% 12.21/12.44 cnf(matrix-2783, plain, ( ~class_Rings_Omult__zero(_u6113) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6113), _u6114), c_Groups_Ozero__class_Ozero(_u6113)) = c_Groups_Ozero__class_Ozero(_u6113)) )).
% 12.21/12.44 cnf(matrix-2784, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6115) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6115), _u6116), _u6117) != c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6116 = c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6117 = c_Groups_Ozero__class_Ozero(_u6115)) )).
% 12.21/12.44 cnf(matrix-2785, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6115) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6115), _u6116), _u6117) = c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6116 != c_Groups_Ozero__class_Ozero(_u6115)) )).
% 12.21/12.44 cnf(matrix-2786, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6115) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6115), _u6116), _u6117) = c_Groups_Ozero__class_Ozero(_u6115)) | ( _u6117 != c_Groups_Ozero__class_Ozero(_u6115)) )).
% 12.21/12.44 cnf(matrix-2787, plain, ( ~class_Rings_Ono__zero__divisors(_u6118) | ( _u6119 = c_Groups_Ozero__class_Ozero(_u6118)) | ( _u6120 = c_Groups_Ozero__class_Ozero(_u6118)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6118), _u6119), _u6120) != c_Groups_Ozero__class_Ozero(_u6118)) )).
% 12.21/12.44 cnf(matrix-2788, plain, ( ~class_Rings_Ono__zero__divisors(_u6121) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6121), _u6122), _u6123) != c_Groups_Ozero__class_Ozero(_u6121)) | ( _u6122 = c_Groups_Ozero__class_Ozero(_u6121)) | ( _u6123 = c_Groups_Ozero__class_Ozero(_u6121)) )).
% 12.21/12.44 cnf(matrix-2789, plain, ( ~class_Groups_Ogroup__add(_u6124) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6124), _u6125), _u6126) != c_Groups_Ozero__class_Ozero(_u6124)) | ( _u6125 = _u6126) )).
% 12.21/12.44 cnf(matrix-2790, plain, ( ~class_Groups_Ogroup__add(_u6124) | ( _u6125 != _u6126) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6124), _u6125), _u6126) = c_Groups_Ozero__class_Ozero(_u6124)) )).
% 12.21/12.44 cnf(matrix-2791, plain, ( ~class_Groups_Oab__group__add(_u6127) | ( _u6128 != _u6129) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6127), _u6128), _u6129) = c_Groups_Ozero__class_Ozero(_u6127)) )).
% 12.21/12.44 cnf(matrix-2792, plain, ( ~class_Groups_Oab__group__add(_u6127) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6127), _u6128), _u6129) != c_Groups_Ozero__class_Ozero(_u6127)) | ( _u6128 = _u6129) )).
% 12.21/12.44 cnf(matrix-2793, plain, ( ~class_Groups_Ogroup__add(_u6130) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6130), _u6131), _u6131) = c_Groups_Ozero__class_Ozero(_u6130)) )).
% 12.21/12.44 cnf(matrix-2794, plain, ( ~class_Groups_Ogroup__add(_u6132) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6132), _u6133), c_Groups_Ozero__class_Ozero(_u6132)) = _u6133) )).
% 12.21/12.44 cnf(matrix-2795, plain, ( ~class_Rings_Ozero__neq__one(_u6134) | ( c_Groups_Oone__class_Oone(_u6134) != c_Groups_Ozero__class_Ozero(_u6134)) )).
% 12.21/12.44 cnf(matrix-2796, plain, ( ~class_Rings_Ozero__neq__one(_u6135) | ( c_Groups_Ozero__class_Ozero(_u6135) != c_Groups_Oone__class_Oone(_u6135)) )).
% 12.21/12.44 cnf(matrix-2797, plain, ( ~class_Groups_Ogroup__add(_u6136) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6136), c_Groups_Ozero__class_Ozero(_u6136)) = c_Groups_Ozero__class_Ozero(_u6136)) )).
% 12.21/12.44 cnf(matrix-2798, plain, ( ~class_Groups_Ogroup__add(_u6137) | ( c_Groups_Ozero__class_Ozero(_u6137) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6137), _u6138)) | ( c_Groups_Ozero__class_Ozero(_u6137) = _u6138) )).
% 12.21/12.44 cnf(matrix-2799, plain, ( ~class_Groups_Ogroup__add(_u6137) | ( c_Groups_Ozero__class_Ozero(_u6137) != _u6138) | ( c_Groups_Ozero__class_Ozero(_u6137) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6137), _u6138)) )).
% 12.21/12.44 cnf(matrix-2800, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6139) | ( _u6140 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6139), _u6140)) | ( _u6140 = c_Groups_Ozero__class_Ozero(_u6139)) )).
% 12.21/12.44 cnf(matrix-2801, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6139) | ( _u6140 != c_Groups_Ozero__class_Ozero(_u6139)) | ( _u6140 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6139), _u6140)) )).
% 12.21/12.44 cnf(matrix-2802, plain, ( ~class_Groups_Ogroup__add(_u6141) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6141), _u6142) != c_Groups_Ozero__class_Ozero(_u6141)) | ( _u6142 = c_Groups_Ozero__class_Ozero(_u6141)) )).
% 12.21/12.44 cnf(matrix-2803, plain, ( ~class_Groups_Ogroup__add(_u6141) | ( _u6142 != c_Groups_Ozero__class_Ozero(_u6141)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6141), _u6142) = c_Groups_Ozero__class_Ozero(_u6141)) )).
% 12.21/12.44 cnf(matrix-2804, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6143) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6143), _u6144) != _u6144) | ( _u6144 = c_Groups_Ozero__class_Ozero(_u6143)) )).
% 12.21/12.44 cnf(matrix-2805, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6143) | ( _u6144 != c_Groups_Ozero__class_Ozero(_u6143)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6143), _u6144) = _u6144) )).
% 12.21/12.44 cnf(matrix-2806, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6145)) )).
% 12.21/12.44 cnf(matrix-2807, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6146)) )).
% 12.21/12.44 cnf(matrix-2808, plain, ( ( hAPP(c_Nat_OSuc, _u6147) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2809, plain, ( ( hAPP(c_Nat_OSuc, _u6148) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2810, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u6149)) )).
% 12.21/12.44 cnf(matrix-2811, plain, ( ( hAPP(c_Nat_OSuc, _u6150) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6151), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2813, plain, ( ( _u6153 = 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)), _u6153)) )).
% 12.21/12.44 cnf(matrix-2814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6154)) | ( _u6154 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6155), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.44 cnf(matrix-2816, plain, ( ( _u6157 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6156), _u6157)) )).
% 12.21/12.44 cnf(matrix-2817, plain, ( ( _u6158 = 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)), _u6158)) )).
% 12.21/12.44 cnf(matrix-2818, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6159) = _u6159) )).
% 12.21/12.44 cnf(matrix-2819, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6160), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6160) )).
% 12.21/12.44 cnf(matrix-2820, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6163), _u6165) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6163 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2821, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6163), _u6165) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2822, plain, ( ( _u6164 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6166 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6164), _u6166) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.44 cnf(matrix-2823, plain, ( ( _u6168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6167), _u6168) != _u6167) )).
% 12.21/12.45 cnf(matrix-2824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6170), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6170 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2825, plain, ( ( _u6171 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6171), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2826, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6172)) )).
% 12.21/12.45 cnf(matrix-2827, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6173) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2828, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6174), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6174) )).
% 12.21/12.45 cnf(matrix-2829, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6175), _u6175) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2830, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6176), _u6177) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6177), _u6176) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6176 = _u6177) )).
% 12.21/12.45 cnf(matrix-2831, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6181), _u6183) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6183)) | ( _u6181 = _u6185) | ( _u6183 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2832, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6182), _u6184) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6184)) | ( _u6182 != _u6186) )).
% 12.21/12.45 cnf(matrix-2833, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6182), _u6184) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6186), _u6184)) | ( _u6184 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2834, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6190), _u6192) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6190), _u6194)) | ( _u6192 = _u6194) | ( _u6190 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2835, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6193) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6195)) | ( _u6193 != _u6195) )).
% 12.21/12.45 cnf(matrix-2836, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6193) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6191), _u6195)) | ( _u6191 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2837, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6198), _u6200) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2838, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6201) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6199 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2839, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6199), _u6201) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6201 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2840, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6202), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2841, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6203) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2842, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6207), _u6209) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6207), _u6211)) | ( _u6207 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6209 = _u6211) )).
% 12.21/12.45 cnf(matrix-2843, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6212)) | ( _u6208 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2844, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6208), _u6212)) | ( _u6210 != _u6212) )).
% 12.21/12.45 cnf(matrix-2845, plain, ( ~class_Rings_Olinordered__ring__strict(_u6213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6214), _u6214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6215), _u6215)) != c_Groups_Ozero__class_Ozero(_u6213)) | ( _u6214 = c_Groups_Ozero__class_Ozero(_u6213)) )).
% 12.21/12.45 cnf(matrix-2846, plain, ( ~class_Rings_Olinordered__ring__strict(_u6213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6214), _u6214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6215), _u6215)) != c_Groups_Ozero__class_Ozero(_u6213)) | ( _u6215 = c_Groups_Ozero__class_Ozero(_u6213)) )).
% 12.21/12.45 cnf(matrix-2847, plain, ( ~class_Rings_Olinordered__ring__strict(_u6213) | ( _u6214 != c_Groups_Ozero__class_Ozero(_u6213)) | ( _u6215 != c_Groups_Ozero__class_Ozero(_u6213)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6214), _u6214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6213), _u6215), _u6215)) = c_Groups_Ozero__class_Ozero(_u6213)) )).
% 12.21/12.45 cnf(matrix-2848, plain, ( ~hBOOL(hAPP(_u6216, _u6217)) | hBOOL(hAPP(_u6216, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u6216) = 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), _u6216), c_Nat_OSuc)))) )).
% 12.21/12.45 cnf(matrix-2849, plain, ( ~class_Rings_Olinordered__ring__strict(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6219), _u6219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6220))), c_Groups_Ozero__class_Ozero(_u6218))) | ( _u6219 = c_Groups_Ozero__class_Ozero(_u6218)) )).
% 12.21/12.45 cnf(matrix-2850, plain, ( ~class_Rings_Olinordered__ring__strict(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6219), _u6219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6220))), c_Groups_Ozero__class_Ozero(_u6218))) | ( _u6220 = c_Groups_Ozero__class_Ozero(_u6218)) )).
% 12.21/12.45 cnf(matrix-2851, plain, ( ~class_Rings_Olinordered__ring__strict(_u6218) | ( _u6219 != c_Groups_Ozero__class_Ozero(_u6218)) | ( _u6220 != c_Groups_Ozero__class_Ozero(_u6218)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6219), _u6219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6220))), c_Groups_Ozero__class_Ozero(_u6218))) )).
% 12.21/12.45 cnf(matrix-2852, plain, ( ~class_Rings_Olinordered__ring(_u6221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), c_Groups_Ozero__class_Ozero(_u6221)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6221), _u6222), _u6222)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6221), _u6223), _u6223)))) )).
% 12.21/12.45 cnf(matrix-2853, plain, ( ~class_Rings_Olinordered__ring__strict(_u6224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6226), _u6226)))) | ( _u6225 != c_Groups_Ozero__class_Ozero(_u6224)) | ( _u6226 != c_Groups_Ozero__class_Ozero(_u6224)) )).
% 12.21/12.45 cnf(matrix-2854, plain, ( ~class_Rings_Olinordered__ring__strict(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6226), _u6226)))) | ( _u6225 = c_Groups_Ozero__class_Ozero(_u6224)) )).
% 12.21/12.45 cnf(matrix-2855, plain, ( ~class_Rings_Olinordered__ring__strict(_u6224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6224), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6225)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6226), _u6226)))) | ( _u6226 = c_Groups_Ozero__class_Ozero(_u6224)) )).
% 12.21/12.45 cnf(matrix-2856, plain, ( ~class_Rings_Olinordered__ring(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6227), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6228)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6229), _u6229))), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.21/12.45 cnf(matrix-2857, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6230), _u6231), _u6231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) )).
% 12.21/12.45 cnf(matrix-2858, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6230), _u6231), _u6231))) )).
% 12.21/12.45 cnf(matrix-2859, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6233), _u6233)), c_Groups_Ozero__class_Ozero(_u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), _u6233), c_Groups_Ozero__class_Ozero(_u6232))) )).
% 12.21/12.45 cnf(matrix-2860, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), _u6233), c_Groups_Ozero__class_Ozero(_u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6232), _u6233), _u6233)), c_Groups_Ozero__class_Ozero(_u6232))) )).
% 12.21/12.45 cnf(matrix-2861, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), c_Groups_Ozero__class_Ozero(_u6234)), _u6235)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), c_Groups_Ozero__class_Ozero(_u6234)), _u6236)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6234), c_Groups_Ozero__class_Ozero(_u6234)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6234), _u6235), _u6236))) )).
% 12.21/12.45 cnf(matrix-2862, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6239)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6238), _u6239) != c_Groups_Ozero__class_Ozero(_u6237)) | ( _u6238 = c_Groups_Ozero__class_Ozero(_u6237)) )).
% 12.21/12.45 cnf(matrix-2863, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6239)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6238), _u6239) != c_Groups_Ozero__class_Ozero(_u6237)) | ( _u6239 = c_Groups_Ozero__class_Ozero(_u6237)) )).
% 12.21/12.45 cnf(matrix-2864, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6237), c_Groups_Ozero__class_Ozero(_u6237)), _u6239)) | ( _u6238 != c_Groups_Ozero__class_Ozero(_u6237)) | ( _u6239 != c_Groups_Ozero__class_Ozero(_u6237)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6237), _u6238), _u6239) = c_Groups_Ozero__class_Ozero(_u6237)) )).
% 12.21/12.45 cnf(matrix-2865, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), c_Groups_Ozero__class_Ozero(_u6240)), _u6241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), _u6242), _u6243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), _u6242), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6240), _u6241), _u6243))) )).
% 12.21/12.45 cnf(matrix-2866, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6244), c_Groups_Ozero__class_Ozero(_u6244)), _u6245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6244), _u6246), _u6247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6244), _u6246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6244), _u6247), _u6245))) )).
% 12.21/12.45 cnf(matrix-2867, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6248) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6249), c_Groups_Ozero__class_Ozero(_u6248))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), _u6250), c_Groups_Ozero__class_Ozero(_u6248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6248), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6248), _u6249), _u6250)), c_Groups_Ozero__class_Ozero(_u6248))) )).
% 12.21/12.45 cnf(matrix-2868, plain, ( ~class_Rings_Olinordered__ring(_u6251) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6251), c_Groups_Ozero__class_Ozero(_u6251)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6251), _u6252), _u6252))) )).
% 12.21/12.45 cnf(matrix-2869, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6254), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.45 cnf(matrix-2870, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6255), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.45 cnf(matrix-2871, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6254), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.45 cnf(matrix-2872, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6255), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.45 cnf(matrix-2873, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), _u6255)) )).
% 12.21/12.45 cnf(matrix-2874, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), c_Groups_Ozero__class_Ozero(_u6253)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6254), c_Groups_Ozero__class_Ozero(_u6253))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6253), _u6255), c_Groups_Ozero__class_Ozero(_u6253))) )).
% 12.21/12.45 cnf(matrix-2875, plain, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), c_Groups_Ozero__class_Ozero(_u6256))) )).
% 12.21/12.45 cnf(matrix-2876, plain, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6258)) )).
% 12.21/12.45 cnf(matrix-2877, plain, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6258), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), c_Groups_Ozero__class_Ozero(_u6256))) )).
% 12.21/12.45 cnf(matrix-2878, plain, ( ~class_Rings_Olinordered__ring__strict(_u6256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6258), c_Groups_Ozero__class_Ozero(_u6256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6258)) )).
% 12.21/12.45 cnf(matrix-2879, plain, ( ~class_Rings_Olinordered__ring__strict(_u6256) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6258), c_Groups_Ozero__class_Ozero(_u6256))) )).
% 12.21/12.45 cnf(matrix-2880, plain, ( ~class_Rings_Olinordered__ring__strict(_u6256) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6256), _u6257), _u6258)), c_Groups_Ozero__class_Ozero(_u6256))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), _u6257), c_Groups_Ozero__class_Ozero(_u6256))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6256), c_Groups_Ozero__class_Ozero(_u6256)), _u6258)) )).
% 12.21/12.45 cnf(matrix-2881, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), c_Groups_Ozero__class_Ozero(_u6259)), _u6260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), c_Groups_Ozero__class_Ozero(_u6259)), _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6259), c_Groups_Ozero__class_Ozero(_u6259)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6259), _u6260), _u6261))) )).
% 12.21/12.45 cnf(matrix-2882, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), c_Groups_Ozero__class_Ozero(_u6262)), _u6263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), _u6264), c_Groups_Ozero__class_Ozero(_u6262))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6263), _u6264)), c_Groups_Ozero__class_Ozero(_u6262))) )).
% 12.21/12.45 cnf(matrix-2883, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6265), c_Groups_Ozero__class_Ozero(_u6265)), _u6266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6265), _u6267), c_Groups_Ozero__class_Ozero(_u6265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6265), _u6267), _u6266)), c_Groups_Ozero__class_Ozero(_u6265))) )).
% 12.21/12.45 cnf(matrix-2884, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6268), _u6269), c_Groups_Ozero__class_Ozero(_u6268))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6268), c_Groups_Ozero__class_Ozero(_u6268)), _u6270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6268), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6268), _u6269), _u6270)), c_Groups_Ozero__class_Ozero(_u6268))) )).
% 12.21/12.45 cnf(matrix-2885, plain, ( ~class_Rings_Oordered__ring(_u6271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6271), _u6272), c_Groups_Ozero__class_Ozero(_u6271))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6271), _u6273), c_Groups_Ozero__class_Ozero(_u6271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6271), c_Groups_Ozero__class_Ozero(_u6271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6271), _u6272), _u6273))) )).
% 12.21/12.45 cnf(matrix-2886, plain, ( ~class_Rings_Oordered__semiring(_u6274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), _u6275), _u6276)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), c_Groups_Ozero__class_Ozero(_u6274)), _u6277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6274), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6274), _u6275), _u6277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6274), _u6276), _u6277))) )).
% 12.21/12.45 cnf(matrix-2887, plain, ( ~class_Rings_Oordered__semiring(_u6278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), _u6279), _u6280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), c_Groups_Ozero__class_Ozero(_u6278)), _u6281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6278), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6281), _u6279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6278), _u6281), _u6280))) )).
% 12.21/12.45 cnf(matrix-2888, plain, ( ~class_Rings_Oordered__comm__semiring(_u6282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), _u6283), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6285), _u6284))) )).
% 12.21/12.45 cnf(matrix-2889, plain, ( ~class_Rings_Oordered__ring(_u6286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), _u6287), _u6288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), _u6289), c_Groups_Ozero__class_Ozero(_u6286))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6286), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6288), _u6289)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6286), _u6287), _u6289))) )).
% 12.21/12.45 cnf(matrix-2890, plain, ( ~class_Rings_Oordered__ring(_u6290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6291), _u6292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), _u6293), c_Groups_Ozero__class_Ozero(_u6290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6293), _u6292)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6290), _u6293), _u6291))) )).
% 12.21/12.45 cnf(matrix-2891, plain, ( ~class_Rings_Oordered__semiring(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6295), _u6296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), _u6297), _u6298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6297)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6296), _u6298))) )).
% 12.21/12.45 cnf(matrix-2892, plain, ( ~class_Rings_Oordered__semiring(_u6299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), _u6300), _u6301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), _u6302), _u6303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), c_Groups_Ozero__class_Ozero(_u6299)), _u6301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), c_Groups_Ozero__class_Ozero(_u6299)), _u6302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6299), _u6300), _u6302)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6299), _u6301), _u6303))) )).
% 12.21/12.45 cnf(matrix-2893, plain, ( ~class_Rings_Oordered__ring(_u6304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6304), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), _u6305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), _u6306)) )).
% 12.21/12.45 cnf(matrix-2894, plain, ( ~class_Rings_Oordered__ring(_u6304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), c_Groups_Ozero__class_Ozero(_u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6304), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), _u6305), c_Groups_Ozero__class_Ozero(_u6304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6304), _u6306), c_Groups_Ozero__class_Ozero(_u6304))) )).
% 12.21/12.45 cnf(matrix-2895, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6307), _u6308), _u6309)), c_Groups_Ozero__class_Ozero(_u6307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), c_Groups_Ozero__class_Ozero(_u6307)), _u6308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), _u6309), c_Groups_Ozero__class_Ozero(_u6307))) )).
% 12.21/12.45 cnf(matrix-2896, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6307), _u6308), _u6309)), c_Groups_Ozero__class_Ozero(_u6307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), _u6308), c_Groups_Ozero__class_Ozero(_u6307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6307), c_Groups_Ozero__class_Ozero(_u6307)), _u6309)) )).
% 12.21/12.45 cnf(matrix-2897, plain, ( ~class_Rings_Olinordered__semidom(_u6310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6310), c_Groups_Ozero__class_Ozero(_u6310)), _u6311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6310), _u6312), _u6313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6310), _u6312), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6310), _u6311), _u6313))) )).
% 12.21/12.45 cnf(matrix-2898, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) )).
% 12.21/12.45 cnf(matrix-2899, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), _u6315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), c_Groups_Ozero__class_Ozero(_u6314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6314), _u6315), _u6315))) )).
% 12.21/12.45 cnf(matrix-2900, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.21/12.45 cnf(matrix-2901, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), _u6317), c_Groups_Ozero__class_Ozero(_u6316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6316), _u6317), _u6317)), c_Groups_Ozero__class_Ozero(_u6316))) )).
% 12.21/12.45 cnf(matrix-2902, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), _u6320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6318), c_Groups_Ozero__class_Ozero(_u6318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6318), _u6319), _u6320))) )).
% 12.21/12.45 cnf(matrix-2903, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6322), c_Groups_Ozero__class_Ozero(_u6321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), _u6323), c_Groups_Ozero__class_Ozero(_u6321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6321), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6321), _u6322), _u6323)), c_Groups_Ozero__class_Ozero(_u6321))) )).
% 12.21/12.45 cnf(matrix-2904, plain, ( ~class_Rings_Olinordered__ring__strict(_u6324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6325), _u6326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), _u6327), c_Groups_Ozero__class_Ozero(_u6324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6324), _u6327), _u6326)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6324), _u6327), _u6325))) )).
% 12.21/12.45 cnf(matrix-2905, plain, ( ~class_Rings_Olinordered__ring__strict(_u6328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), _u6329), _u6330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), _u6331), c_Groups_Ozero__class_Ozero(_u6328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6328), _u6330), _u6331)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6328), _u6329), _u6331))) )).
% 12.21/12.45 cnf(matrix-2906, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u6332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6332), _u6333), _u6334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6332), c_Groups_Ozero__class_Ozero(_u6332)), _u6335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6332), _u6335), _u6333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6332), _u6335), _u6334))) )).
% 12.21/12.45 cnf(matrix-2907, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6336), _u6337), _u6338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6336), c_Groups_Ozero__class_Ozero(_u6336)), _u6339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6336), _u6339), _u6337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6336), _u6339), _u6338))) )).
% 12.21/12.45 cnf(matrix-2908, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6340), _u6341), _u6342)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6340), c_Groups_Ozero__class_Ozero(_u6340)), _u6343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6340), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6340), _u6341), _u6343)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6340), _u6342), _u6343))) )).
% 12.21/12.45 cnf(matrix-2909, plain, ( ~class_Rings_Olinordered__ring__strict(_u6344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), _u6345), c_Groups_Ozero__class_Ozero(_u6344))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), _u6346), c_Groups_Ozero__class_Ozero(_u6344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), c_Groups_Ozero__class_Ozero(_u6344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6344), _u6345), _u6346))) )).
% 12.21/12.45 cnf(matrix-2910, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6347), _u6348), c_Groups_Ozero__class_Ozero(_u6347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6347), c_Groups_Ozero__class_Ozero(_u6347)), _u6349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6347), _u6348), _u6349)), c_Groups_Ozero__class_Ozero(_u6347))) )).
% 12.21/12.45 cnf(matrix-2911, plain, ( ~class_Rings_Olinordered__ring__strict(_u6350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6351), c_Groups_Ozero__class_Ozero(_u6350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6352)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6353), _u6352)) )).
% 12.21/12.45 cnf(matrix-2912, plain, ( ~class_Rings_Olinordered__ring__strict(_u6350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6351), c_Groups_Ozero__class_Ozero(_u6350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), _u6353), _u6352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6352)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6350), _u6351), _u6353))) )).
% 12.21/12.45 cnf(matrix-2913, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6354), _u6355), _u6356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6354), c_Groups_Ozero__class_Ozero(_u6354)), _u6355)) )).
% 12.21/12.45 cnf(matrix-2914, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), c_Groups_Ozero__class_Ozero(_u6357)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6357), _u6358), _u6359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), c_Groups_Ozero__class_Ozero(_u6357)), _u6358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6357), c_Groups_Ozero__class_Ozero(_u6357)), _u6359)) )).
% 12.21/12.45 cnf(matrix-2915, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6360), c_Groups_Ozero__class_Ozero(_u6360)), _u6361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6360), _u6362), c_Groups_Ozero__class_Ozero(_u6360))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6360), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6360), _u6362), _u6361)), c_Groups_Ozero__class_Ozero(_u6360))) )).
% 12.21/12.45 cnf(matrix-2916, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6363) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6363), c_Groups_Ozero__class_Ozero(_u6363)), _u6364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6363), _u6365), c_Groups_Ozero__class_Ozero(_u6363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6363), _u6364), _u6365)), c_Groups_Ozero__class_Ozero(_u6363))) )).
% 12.21/12.45 cnf(matrix-2917, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6366), c_Groups_Ozero__class_Ozero(_u6366)), _u6367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6366), c_Groups_Ozero__class_Ozero(_u6366)), _u6368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6366), c_Groups_Ozero__class_Ozero(_u6366)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6366), _u6367), _u6368))) )).
% 12.21/12.45 cnf(matrix-2918, plain, ( ~class_Rings_Olinordered__ring__strict(_u6369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), c_Groups_Ozero__class_Ozero(_u6369)), _u6370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6372))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), _u6371), _u6372)) )).
% 12.21/12.45 cnf(matrix-2919, plain, ( ~class_Rings_Olinordered__ring__strict(_u6369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), c_Groups_Ozero__class_Ozero(_u6369)), _u6370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), _u6371), _u6372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6369), _u6370), _u6372))) )).
% 12.21/12.45 cnf(matrix-2920, plain, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), c_Groups_Ozero__class_Ozero(_u6373)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6374), c_Groups_Ozero__class_Ozero(_u6373))) )).
% 12.21/12.45 cnf(matrix-2921, plain, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), c_Groups_Ozero__class_Ozero(_u6373)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6376), _u6375)) )).
% 12.21/12.45 cnf(matrix-2922, plain, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6375), _u6376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6374), c_Groups_Ozero__class_Ozero(_u6373))) )).
% 12.21/12.45 cnf(matrix-2923, plain, ( ~class_Rings_Olinordered__ring__strict(_u6373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6375), _u6376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6376), _u6375)) )).
% 12.21/12.45 cnf(matrix-2924, plain, ( ~class_Rings_Olinordered__ring__strict(_u6373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), c_Groups_Ozero__class_Ozero(_u6373)), _u6374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6375), _u6376)) )).
% 12.21/12.45 cnf(matrix-2925, plain, ( ~class_Rings_Olinordered__ring__strict(_u6373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6374), c_Groups_Ozero__class_Ozero(_u6373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6373), _u6376), _u6375)) )).
% 12.21/12.45 cnf(matrix-2926, plain, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), c_Groups_Ozero__class_Ozero(_u6377)), _u6379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6379), c_Groups_Ozero__class_Ozero(_u6377))) )).
% 12.21/12.45 cnf(matrix-2927, plain, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), c_Groups_Ozero__class_Ozero(_u6377)), _u6379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6380), _u6378)) )).
% 12.21/12.45 cnf(matrix-2928, plain, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6378), _u6380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6379), c_Groups_Ozero__class_Ozero(_u6377))) )).
% 12.21/12.45 cnf(matrix-2929, plain, ( ~class_Rings_Olinordered__ring__strict(_u6377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6378), _u6380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6380), _u6378)) )).
% 12.21/12.45 cnf(matrix-2930, plain, ( ~class_Rings_Olinordered__ring__strict(_u6377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), c_Groups_Ozero__class_Ozero(_u6377)), _u6379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6378), _u6380)) )).
% 12.21/12.45 cnf(matrix-2931, plain, ( ~class_Rings_Olinordered__ring__strict(_u6377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6378), _u6379)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6380), _u6379))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6379), c_Groups_Ozero__class_Ozero(_u6377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6377), _u6380), _u6378)) )).
% 12.21/12.45 cnf(matrix-2932, plain, ( ~class_Rings_Olinordered__ring(_u6381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6381), _u6382), _u6382)), c_Groups_Ozero__class_Ozero(_u6381))) )).
% 12.21/12.45 cnf(matrix-2933, plain, ( ~class_Groups_Oordered__ab__group__add(_u6383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), _u6384), _u6385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6383), _u6384), _u6385)), c_Groups_Ozero__class_Ozero(_u6383))) )).
% 12.21/12.45 cnf(matrix-2934, plain, ( ~class_Groups_Oordered__ab__group__add(_u6383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6383), _u6384), _u6385)), c_Groups_Ozero__class_Ozero(_u6383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6383), _u6384), _u6385)) )).
% 12.21/12.45 cnf(matrix-2935, plain, ( ~class_Groups_Oordered__ab__group__add(_u6386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), _u6387), _u6388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6386), _u6387), _u6388)), c_Groups_Ozero__class_Ozero(_u6386))) )).
% 12.21/12.45 cnf(matrix-2936, plain, ( ~class_Groups_Oordered__ab__group__add(_u6386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6386), _u6387), _u6388)), c_Groups_Ozero__class_Ozero(_u6386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6386), _u6387), _u6388)) )).
% 12.21/12.45 cnf(matrix-2937, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6389) | ( _u6390 = c_Groups_Ozero__class_Ozero(_u6389)) | ( _u6391 != _u6392) | ( _u6393 = _u6394) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6389), _u6391), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6389), _u6390), _u6393)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6389), _u6392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6389), _u6390), _u6394))) )).
% 12.21/12.45 cnf(matrix-2938, plain, ( ~class_Rings_Olinordered__semidom(_u6395) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6395), c_Groups_Ozero__class_Ozero(_u6395)), c_Groups_Oone__class_Oone(_u6395))) )).
% 12.21/12.45 cnf(matrix-2939, plain, ( ~class_Rings_Olinordered__semidom(_u6396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6396), c_Groups_Oone__class_Oone(_u6396)), c_Groups_Ozero__class_Ozero(_u6396))) )).
% 12.21/12.45 cnf(matrix-2940, plain, ( ~class_Rings_Olinordered__semidom(_u6397) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6397), c_Groups_Ozero__class_Ozero(_u6397)), c_Groups_Oone__class_Oone(_u6397))) )).
% 12.21/12.45 cnf(matrix-2941, plain, ( ~class_Rings_Olinordered__semidom(_u6398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6398), c_Groups_Oone__class_Oone(_u6398)), c_Groups_Ozero__class_Ozero(_u6398))) )).
% 12.21/12.45 cnf(matrix-2942, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), hAPP(c_Groups_Ouminus__class_Ouminus(_u6399), _u6400)), _u6400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), c_Groups_Ozero__class_Ozero(_u6399)), _u6400)) )).
% 12.21/12.45 cnf(matrix-2943, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), c_Groups_Ozero__class_Ozero(_u6399)), _u6400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6399), hAPP(c_Groups_Ouminus__class_Ouminus(_u6399), _u6400)), _u6400)) )).
% 12.21/12.45 cnf(matrix-2944, plain, ( ~class_Groups_Oordered__ab__group__add(_u6401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), hAPP(c_Groups_Ouminus__class_Ouminus(_u6401), _u6402)), c_Groups_Ozero__class_Ozero(_u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), c_Groups_Ozero__class_Ozero(_u6401)), _u6402)) )).
% 12.21/12.45 cnf(matrix-2945, plain, ( ~class_Groups_Oordered__ab__group__add(_u6401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), c_Groups_Ozero__class_Ozero(_u6401)), _u6402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6401), hAPP(c_Groups_Ouminus__class_Ouminus(_u6401), _u6402)), c_Groups_Ozero__class_Ozero(_u6401))) )).
% 12.21/12.45 cnf(matrix-2946, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) )).
% 12.21/12.45 cnf(matrix-2947, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), c_Groups_Ozero__class_Ozero(_u6403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6403), _u6404), hAPP(c_Groups_Ouminus__class_Ouminus(_u6403), _u6404))) )).
% 12.21/12.45 cnf(matrix-2948, plain, ( ~class_Groups_Oordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), c_Groups_Ozero__class_Ozero(_u6405)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) )).
% 12.21/12.45 cnf(matrix-2949, plain, ( ~class_Groups_Oordered__ab__group__add(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), _u6406), c_Groups_Ozero__class_Ozero(_u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), c_Groups_Ozero__class_Ozero(_u6405)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6405), _u6406))) )).
% 12.21/12.45 cnf(matrix-2950, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) )).
% 12.21/12.45 cnf(matrix-2951, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), c_Groups_Ozero__class_Ozero(_u6407)), _u6408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6407), hAPP(c_Groups_Ouminus__class_Ouminus(_u6407), _u6408)), _u6408)) )).
% 12.21/12.45 cnf(matrix-2952, plain, ( ~class_Groups_Oordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), c_Groups_Ozero__class_Ozero(_u6409))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) )).
% 12.21/12.45 cnf(matrix-2953, plain, ( ~class_Groups_Oordered__ab__group__add(_u6409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), c_Groups_Ozero__class_Ozero(_u6409)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6409), hAPP(c_Groups_Ouminus__class_Ouminus(_u6409), _u6410)), c_Groups_Ozero__class_Ozero(_u6409))) )).
% 12.21/12.45 cnf(matrix-2954, plain, ( ~class_Groups_Oordered__ab__group__add(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), c_Groups_Ozero__class_Ozero(_u6411)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) )).
% 12.21/12.45 cnf(matrix-2955, plain, ( ~class_Groups_Oordered__ab__group__add(_u6411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), _u6412), c_Groups_Ozero__class_Ozero(_u6411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6411), c_Groups_Ozero__class_Ozero(_u6411)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6411), _u6412))) )).
% 12.21/12.45 cnf(matrix-2956, plain, ( ~class_Rings_Olinordered__idom(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) )).
% 12.21/12.45 cnf(matrix-2957, plain, ( ~class_Rings_Olinordered__idom(_u6413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), c_Groups_Ozero__class_Ozero(_u6413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6413), _u6414), hAPP(c_Groups_Ouminus__class_Ouminus(_u6413), _u6414))) )).
% 12.21/12.45 cnf(matrix-2958, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6415) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6415), _u6416)) | ( _u6416 = c_Orderings_Obot__class_Obot(tc_fun(_u6415, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6415), c_Big__Operators_Olinorder__class_OMin(_u6415, _u6416)) = c_Big__Operators_Olinorder__class_OMax(_u6415, hAPP(c_Set_Oimage(_u6415, _u6415, c_Groups_Ouminus__class_Ouminus(_u6415)), _u6416))) )).
% 12.21/12.45 cnf(matrix-2959, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6417) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6417), _u6418)) | ( _u6418 = c_Orderings_Obot__class_Obot(tc_fun(_u6417, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6417), c_Big__Operators_Olinorder__class_OMax(_u6417, _u6418)) = c_Big__Operators_Olinorder__class_OMin(_u6417, hAPP(c_Set_Oimage(_u6417, _u6417, c_Groups_Ouminus__class_Ouminus(_u6417)), _u6418))) )).
% 12.21/12.45 cnf(matrix-2960, plain, ( ~class_Groups_Ogroup__add(_u6419) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), _u6420), hAPP(c_Groups_Ouminus__class_Ouminus(_u6419), _u6420)) = c_Groups_Ozero__class_Ozero(_u6419)) )).
% 12.21/12.45 cnf(matrix-2961, plain, ( ~class_Groups_Ogroup__add(_u6421) | ( _u6422 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6421), _u6423)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6421), _u6422), _u6423) = c_Groups_Ozero__class_Ozero(_u6421)) )).
% 12.21/12.45 cnf(matrix-2962, plain, ( ~class_Groups_Ogroup__add(_u6421) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6421), _u6422), _u6423) != c_Groups_Ozero__class_Ozero(_u6421)) | ( _u6422 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6421), _u6423)) )).
% 12.21/12.45 cnf(matrix-2963, plain, ( ~class_Groups_Ogroup__add(_u6424) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6424), hAPP(c_Groups_Ouminus__class_Ouminus(_u6424), _u6425)), _u6425) = c_Groups_Ozero__class_Ozero(_u6424)) )).
% 12.21/12.45 cnf(matrix-2964, plain, ( ~class_Groups_Oab__group__add(_u6426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6426), hAPP(c_Groups_Ouminus__class_Ouminus(_u6426), _u6427)), _u6427) = c_Groups_Ozero__class_Ozero(_u6426)) )).
% 12.21/12.45 cnf(matrix-2965, plain, ( ~class_Groups_Ogroup__add(_u6428) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6428), _u6429), _u6430) != c_Groups_Ozero__class_Ozero(_u6428)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6428), _u6429) = _u6430) )).
% 12.21/12.45 cnf(matrix-2966, plain, ( ~class_Groups_Ogroup__add(_u6431) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6431), c_Groups_Ozero__class_Ozero(_u6431)), _u6432) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6431), _u6432)) )).
% 12.21/12.45 cnf(matrix-2967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6437), hAPP(c_Nat_OSuc, _u6439))) | ( _u6437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6437 = hAPP(c_Nat_OSuc, skolem112(_u6439, _u6437))) )).
% 12.21/12.45 cnf(matrix-2968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6437), hAPP(c_Nat_OSuc, _u6439))) | ( _u6437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem112(_u6439, _u6437)), _u6439)) )).
% 12.21/12.45 cnf(matrix-2969, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6438), hAPP(c_Nat_OSuc, _u6440))) | ( _u6438 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2970, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6438), hAPP(c_Nat_OSuc, _u6440))) | ( _u6438 != hAPP(c_Nat_OSuc, _u6434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6434), _u6440)) )).
% 12.21/12.45 cnf(matrix-2971, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6442), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u6442 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2972, plain, ( ( _u6443 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6443), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-2973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6447)) | ( _u6447 = hAPP(c_Nat_OSuc, skolem113(_u6447))) )).
% 12.21/12.45 cnf(matrix-2974, plain, ( ( _u6448 != hAPP(c_Nat_OSuc, _u6445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6448)) )).
% 12.21/12.45 cnf(matrix-2975, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6451 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2976, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6451 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6453 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2977, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6453 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2978, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6451), _u6453)) | ( _u6453 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6453 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2979, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6452), _u6454)) | ( _u6452 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6454 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2980, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6452), _u6454)) | ( _u6452 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6454 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2981, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6457 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6457 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2982, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6457 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6459 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2983, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6459 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6457 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2984, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6457), _u6459) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6459 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6459 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2985, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6458), _u6460) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6458 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6460 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2986, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6458), _u6460) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6458 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6460 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2987, 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), _u6463), _u6465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6465)) )).
% 12.21/12.45 cnf(matrix-2988, 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), _u6464), _u6466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6464)) )).
% 12.21/12.45 cnf(matrix-2989, 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), _u6464), _u6466))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6466)) )).
% 12.21/12.45 cnf(matrix-2990, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6467), c_Orderings_Obot__class_Obot(tc_fun(_u6467, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2991, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6468), _u6469)) | ( hAPP(c_Finite__Set_Ocard(_u6468), _u6469) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-2992, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6472), _u6474) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6472 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2993, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6472), _u6474) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6474 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2994, plain, ( ( _u6473 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6475 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6473), _u6475) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-2995, 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), _u6478), _u6480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6480), _u6478)) )).
% 12.21/12.45 cnf(matrix-2996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6481), _u6479)) | 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), _u6479), _u6481))) )).
% 12.21/12.45 cnf(matrix-2997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6483), _u6482)), _u6483)) )).
% 12.21/12.45 cnf(matrix-2998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6484), _u6485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), _u6484)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), _u6485))) )).
% 12.21/12.45 cnf(matrix-2999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6487), _u6488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6487), _u6489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), _u6489))) )).
% 12.21/12.45 cnf(matrix-3000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6493), _u6495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6497), _u6495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6495)) )).
% 12.21/12.45 cnf(matrix-3001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6493), _u6495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6497), _u6495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6493), _u6497)) )).
% 12.21/12.45 cnf(matrix-3002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6494), _u6498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6494), _u6496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6498), _u6496))) )).
% 12.21/12.45 cnf(matrix-3003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6504)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6502)) )).
% 12.21/12.45 cnf(matrix-3004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6504)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6502), _u6506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6504), _u6506)) )).
% 12.21/12.45 cnf(matrix-3005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6505), _u6507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6503), _u6505)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6503), _u6507))) )).
% 12.21/12.45 cnf(matrix-3006, 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), _u6510), _u6512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6510)) )).
% 12.21/12.45 cnf(matrix-3007, 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), _u6510), _u6512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6512)) )).
% 12.21/12.45 cnf(matrix-3008, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6513)) | 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), _u6511), _u6513))) )).
% 12.21/12.45 cnf(matrix-3009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6515), _u6516)) )).
% 12.21/12.45 cnf(matrix-3010, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6515), _u6516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6515)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6514), _u6516))) )).
% 12.21/12.45 cnf(matrix-3011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6517)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6518) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6519)) | ( _u6518 = _u6519) )).
% 12.21/12.45 cnf(matrix-3012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6517)) | ( _u6518 != _u6519) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6518) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6517), _u6519)) )).
% 12.21/12.45 cnf(matrix-3013, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6520), _u6521)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3014, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6524), _u6526) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), _u6526)) )).
% 12.21/12.45 cnf(matrix-3015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6525), _u6527)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6525), _u6527) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6528), _u6529)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6528), _u6529) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3017, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3018, plain, ( ~class_Orderings_Olinorder(_u6530) | ( c_Big__Operators_Olinorder__class_OMax(_u6530, hAPP(hAPP(c_Set_Oinsert(_u6530), _u6531), c_Orderings_Obot__class_Obot(tc_fun(_u6530, tc_HOL_Obool)))) = _u6531) )).
% 12.21/12.45 cnf(matrix-3019, plain, ( ~class_Orderings_Olinorder(_u6532) | ( c_Big__Operators_Olinorder__class_OMin(_u6532, hAPP(hAPP(c_Set_Oinsert(_u6532), _u6533), c_Orderings_Obot__class_Obot(tc_fun(_u6532, tc_HOL_Obool)))) = _u6533) )).
% 12.21/12.45 cnf(matrix-3020, plain, ( ( _u6534 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6534), _u6535)) | ( _u6535 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6534 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6536)) | ( _u6536 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6536), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3022, plain, ( ( _u6539 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6539), _u6541) = _u6541) )).
% 12.21/12.45 cnf(matrix-3023, plain, ( ( _u6540 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6540), _u6542) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6540), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6542))) )).
% 12.21/12.45 cnf(matrix-3024, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6543), c_Groups_Ozero__class_Ozero(_u6543)), _u6544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6543), c_Groups_Ozero__class_Ozero(_u6543)), _u6545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6543), c_Groups_Ozero__class_Ozero(_u6543)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), _u6544), _u6545))) )).
% 12.21/12.45 cnf(matrix-3025, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6546), c_Groups_Ozero__class_Ozero(_u6546)), _u6547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6546), c_Groups_Ozero__class_Ozero(_u6546)), _u6548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6546), c_Groups_Ozero__class_Ozero(_u6546)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6546), _u6547), _u6548))) )).
% 12.21/12.45 cnf(matrix-3026, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6549), c_Groups_Ozero__class_Ozero(_u6549)), _u6550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6551), _u6552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6549), _u6551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6549), _u6550), _u6552))) )).
% 12.21/12.45 cnf(matrix-3027, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6553), c_Groups_Ozero__class_Ozero(_u6553)), _u6554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6553), _u6555), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6553), _u6555), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6553), _u6554), _u6556))) )).
% 12.21/12.45 cnf(matrix-3028, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), _u6558), c_Groups_Ozero__class_Ozero(_u6557))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6557), _u6559), c_Groups_Ozero__class_Ozero(_u6557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6557), _u6558), _u6559)), c_Groups_Ozero__class_Ozero(_u6557))) )).
% 12.21/12.45 cnf(matrix-3029, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), _u6561), c_Groups_Ozero__class_Ozero(_u6560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6560), _u6562), c_Groups_Ozero__class_Ozero(_u6560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6560), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6560), _u6561), _u6562)), c_Groups_Ozero__class_Ozero(_u6560))) )).
% 12.21/12.45 cnf(matrix-3030, plain, ( ~class_Rings_Olinordered__ring__strict(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6563), c_Groups_Ozero__class_Ozero(_u6563)), _u6564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6565)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), _u6565), _u6566)) )).
% 12.21/12.45 cnf(matrix-3031, plain, ( ~class_Rings_Olinordered__ring__strict(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6563), c_Groups_Ozero__class_Ozero(_u6563)), _u6564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), _u6565), _u6566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6565)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6563), _u6564), _u6566))) )).
% 12.21/12.45 cnf(matrix-3032, plain, ( ~class_Rings_Olinordered__ring__strict(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6567), _u6568), c_Groups_Ozero__class_Ozero(_u6567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), _u6570), _u6569)) )).
% 12.21/12.45 cnf(matrix-3033, plain, ( ~class_Rings_Olinordered__ring__strict(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6567), _u6568), c_Groups_Ozero__class_Ozero(_u6567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), _u6570), _u6569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6567), _u6568), _u6570))) )).
% 12.21/12.45 cnf(matrix-3034, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), _u6572), _u6573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), _u6574), _u6575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), c_Groups_Ozero__class_Ozero(_u6571)), _u6573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6571), c_Groups_Ozero__class_Ozero(_u6571)), _u6574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6571), _u6572), _u6574)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6571), _u6573), _u6575))) )).
% 12.21/12.45 cnf(matrix-3035, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6576), _u6577), _u6578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6576), _u6579), _u6580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6576), c_Groups_Ozero__class_Ozero(_u6576)), _u6577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6576), c_Groups_Ozero__class_Ozero(_u6576)), _u6579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6576), _u6577), _u6579)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6576), _u6578), _u6580))) )).
% 12.21/12.45 cnf(matrix-3036, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6581), _u6582), _u6583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6581), _u6584), _u6585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6581), c_Groups_Ozero__class_Ozero(_u6581)), _u6582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6581), c_Groups_Ozero__class_Ozero(_u6581)), _u6584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6581), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), _u6582), _u6584)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), _u6583), _u6585))) )).
% 12.21/12.45 cnf(matrix-3037, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6586), _u6587), _u6588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6586), _u6589), _u6590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6586), c_Groups_Ozero__class_Ozero(_u6586)), _u6587)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6586), c_Groups_Ozero__class_Ozero(_u6586)), _u6589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6586), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6586), _u6587), _u6589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6586), _u6588), _u6590))) )).
% 12.21/12.45 cnf(matrix-3038, plain, ( ~class_Rings_Olinordered__semiring(_u6591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6591), _u6592), _u6593)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6591), _u6594), _u6593))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6591), c_Groups_Ozero__class_Ozero(_u6591)), _u6593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6591), _u6592), _u6594)) )).
% 12.21/12.45 cnf(matrix-3039, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6595), _u6596), _u6597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6595), _u6598), _u6597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6595), c_Groups_Ozero__class_Ozero(_u6595)), _u6597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6595), _u6596), _u6598)) )).
% 12.21/12.45 cnf(matrix-3040, plain, ( ~class_Rings_Olinordered__semiring(_u6599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6601)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6602))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6599), c_Groups_Ozero__class_Ozero(_u6599)), _u6600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6599), _u6601), _u6602)) )).
% 12.21/12.45 cnf(matrix-3041, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6603), _u6604), _u6605)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6603), _u6604), _u6606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6603), c_Groups_Ozero__class_Ozero(_u6603)), _u6604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6603), _u6605), _u6606)) )).
% 12.21/12.45 cnf(matrix-3042, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6607), _u6608), _u6609)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6607), _u6610), _u6609))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6607), c_Groups_Ozero__class_Ozero(_u6607)), _u6609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6607), _u6608), _u6610)) )).
% 12.21/12.45 cnf(matrix-3043, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6611), _u6612), _u6613)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6611), _u6612), _u6614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6611), c_Groups_Ozero__class_Ozero(_u6611)), _u6612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6611), _u6613), _u6614)) )).
% 12.21/12.45 cnf(matrix-3044, plain, ( ( _u6617 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6617), _u6619) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3045, plain, ( ( _u6618 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6618), _u6620) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6618), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6620))) )).
% 12.21/12.45 cnf(matrix-3046, plain, ( ~class_Rings_Olinordered__idom(_u6621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), c_Groups_Ozero__class_Ozero(_u6621)), _u6623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), _u6623), c_Groups_Oone__class_Oone(_u6621))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6623), _u6622)), _u6622)) )).
% 12.21/12.45 cnf(matrix-3047, plain, ( ~class_Rings_Olinordered__idom(_u6624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), c_Groups_Ozero__class_Ozero(_u6624)), _u6625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), c_Groups_Ozero__class_Ozero(_u6624)), _u6626)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), _u6626), c_Groups_Oone__class_Oone(_u6624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6624), _u6625), _u6626)), _u6625)) )).
% 12.21/12.45 cnf(matrix-3048, plain, ( ~class_Rings_Olinordered__semidom(_u6627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6627), c_Groups_Ozero__class_Ozero(_u6627)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6627), c_Groups_Oone__class_Oone(_u6627)), c_Groups_Oone__class_Oone(_u6627)))) )).
% 12.21/12.45 cnf(matrix-3049, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6630), _u6632) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6632 = c_Orderings_Obot__class_Obot(tc_fun(_u6630, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6630), _u6632)) )).
% 12.21/12.45 cnf(matrix-3050, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6631), _u6633) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6633 != c_Orderings_Obot__class_Obot(tc_fun(_u6631, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3051, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6631), _u6633) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6631), _u6633)) )).
% 12.21/12.45 cnf(matrix-3052, 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(_u6634), _u6635))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6634), _u6635)) )).
% 12.21/12.45 cnf(matrix-3053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6636)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6636), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u6636) )).
% 12.21/12.45 cnf(matrix-3054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6637), hAPP(c_Nat_OSuc, _u6638))), _u6637)) )).
% 12.21/12.45 cnf(matrix-3055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6640), _u6639))) )).
% 12.21/12.45 cnf(matrix-3056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6641), _u6642))) )).
% 12.21/12.45 cnf(matrix-3057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6644)) | 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), _u6644), _u6643))) )).
% 12.21/12.45 cnf(matrix-3058, plain, ( ~hBOOL(hAPP(_u6650, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6652), _u6654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6652), _u6654)) | hBOOL(hAPP(_u6650, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3059, plain, ( ~hBOOL(hAPP(_u6650, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6652), _u6654))) | ( _u6652 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6654), _u6645)) | hBOOL(hAPP(_u6650, _u6645)) )).
% 12.21/12.45 cnf(matrix-3060, plain, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6653), _u6655)) | ( _u6653 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6655), skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.45 cnf(matrix-3061, plain, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6653), _u6655)) | ~hBOOL(hAPP(_u6651, skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.45 cnf(matrix-3062, plain, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | ~hBOOL(hAPP(_u6651, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6653 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6655), skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.45 cnf(matrix-3063, plain, ( hBOOL(hAPP(_u6651, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6653), _u6655))) | ~hBOOL(hAPP(_u6651, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6651, skolem114(_u6655, _u6653, _u6651))) )).
% 12.21/12.45 cnf(matrix-3064, plain, ( ~hBOOL(hAPP(_u6661, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6663), _u6665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6663), _u6665)) | hBOOL(hAPP(_u6661, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3065, plain, ( ~hBOOL(hAPP(_u6661, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6663), _u6665))) | ( _u6663 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6665), _u6656)) | hBOOL(hAPP(_u6661, _u6656)) )).
% 12.21/12.45 cnf(matrix-3066, plain, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6664), _u6666)) | ( _u6664 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6666), skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.45 cnf(matrix-3067, plain, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6664), _u6666)) | ~hBOOL(hAPP(_u6662, skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.45 cnf(matrix-3068, plain, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | ~hBOOL(hAPP(_u6662, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6664 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6666), skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.45 cnf(matrix-3069, plain, ( hBOOL(hAPP(_u6662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6664), _u6666))) | ~hBOOL(hAPP(_u6662, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6662, skolem115(_u6666, _u6664, _u6662))) )).
% 12.21/12.45 cnf(matrix-3070, 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), _u6669), _u6671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6669)) )).
% 12.21/12.45 cnf(matrix-3071, 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), _u6669), _u6671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6671)) )).
% 12.21/12.45 cnf(matrix-3072, 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))), _u6670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6672)) | 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), _u6670), _u6672))) )).
% 12.21/12.45 cnf(matrix-3073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6676), _u6678)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6676), _u6680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6678), _u6680)) )).
% 12.21/12.45 cnf(matrix-3074, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6677)) )).
% 12.21/12.45 cnf(matrix-3075, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6677), _u6681))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6679), _u6681)) )).
% 12.21/12.45 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6685), _u6687)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6689), _u6687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6685), _u6689)) )).
% 12.21/12.45 cnf(matrix-3077, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6686), _u6688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6690), _u6688))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6688)) )).
% 12.21/12.45 cnf(matrix-3078, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6686), _u6688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6690), _u6688))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6686), _u6690)) )).
% 12.21/12.45 cnf(matrix-3079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6692)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6692), _u6693)) )).
% 12.21/12.45 cnf(matrix-3080, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6692), _u6693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6692)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6691), _u6693))) )).
% 12.21/12.45 cnf(matrix-3081, plain, ( ~class_Orderings_Olinorder(_u6694) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6694), _u6695)) | ~hBOOL(hAPP(hAPP(c_member(_u6694), _u6696), _u6695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6694), c_Big__Operators_Olinorder__class_OMin(_u6694, _u6695)), _u6696)) )).
% 12.21/12.45 cnf(matrix-3082, plain, ( ~class_Orderings_Olinorder(_u6697) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6697), _u6698)) | ~hBOOL(hAPP(hAPP(c_member(_u6697), _u6699), _u6698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6697), _u6699), c_Big__Operators_Olinorder__class_OMax(_u6697, _u6698))) )).
% 12.21/12.45 cnf(matrix-3083, plain, ( ~class_Orderings_Olinorder(_u6700) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6700), _u6701)) | ( _u6701 = c_Orderings_Obot__class_Obot(tc_fun(_u6700, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6700), c_Big__Operators_Olinorder__class_OMax(_u6700, _u6701)), _u6701)) )).
% 12.21/12.45 cnf(matrix-3084, plain, ( ~class_Orderings_Olinorder(_u6702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6702), _u6703)) | ( _u6703 = c_Orderings_Obot__class_Obot(tc_fun(_u6702, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6702), c_Big__Operators_Olinorder__class_OMin(_u6702, _u6703)), _u6703)) )).
% 12.21/12.45 cnf(matrix-3085, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6704)) | ( 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)), _u6704))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6705)))) = 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)), _u6704))), 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, _u6705)))))) )).
% 12.21/12.45 cnf(matrix-3086, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6706)) | ( 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)), _u6706))), 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, _u6707))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3087, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6708)) | ( 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)), _u6708))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6709))))) = 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)), _u6708))), 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, _u6709)))))) )).
% 12.21/12.45 cnf(matrix-3088, plain, ( ~class_Rings_Olinordered__semiring__1(_u6710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), _u6711), _u6712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), _u6713), _u6712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), c_Groups_Ozero__class_Ozero(_u6710)), _u6714)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), c_Groups_Ozero__class_Ozero(_u6710)), _u6715)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), _u6714), _u6715) != c_Groups_Oone__class_Oone(_u6710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6710), _u6714), _u6711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6710), _u6715), _u6713))), _u6712)) )).
% 12.21/12.45 cnf(matrix-3089, 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(_u6718), _u6720))) | ( _u6720 != c_Orderings_Obot__class_Obot(tc_fun(_u6718, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3090, 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(_u6718), _u6720))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6718), _u6720)) )).
% 12.21/12.45 cnf(matrix-3091, plain, ( ( _u6721 = c_Orderings_Obot__class_Obot(tc_fun(_u6719, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6719), _u6721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6719), _u6721))) )).
% 12.21/12.45 cnf(matrix-3092, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6722), c_Orderings_Otop__class_Otop(tc_fun(_u6722, 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(_u6722), c_Orderings_Otop__class_Otop(tc_fun(_u6722, tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-3093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6723)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6723), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u6723) )).
% 12.21/12.45 cnf(matrix-3094, plain, ( ~class_Orderings_Olinorder(_u6724) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6724, tc_HOL_Obool)), _u6725), _u6726)) | ( _u6725 = c_Orderings_Obot__class_Obot(tc_fun(_u6724, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6724), _u6726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), c_Big__Operators_Olinorder__class_OMax(_u6724, _u6725)), c_Big__Operators_Olinorder__class_OMax(_u6724, _u6726))) )).
% 12.21/12.45 cnf(matrix-3095, plain, ( ~class_Orderings_Olinorder(_u6727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6727, tc_HOL_Obool)), _u6728), _u6729)) | ( _u6728 = c_Orderings_Obot__class_Obot(tc_fun(_u6727, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6727), _u6729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6727), c_Big__Operators_Olinorder__class_OMin(_u6727, _u6729)), c_Big__Operators_Olinorder__class_OMin(_u6727, _u6728))) )).
% 12.21/12.45 cnf(matrix-3096, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6732), _u6734)) | ( hAPP(c_Finite__Set_Ocard(_u6732), _u6734) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6732, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6732), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6734)) )).
% 12.21/12.45 cnf(matrix-3097, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6733), _u6735)) | ( hAPP(c_Finite__Set_Ocard(_u6733), _u6735) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3098, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6736), _u6737)) | ( hAPP(c_Finite__Set_Ocard(_u6736), _u6737) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u6736, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u6736), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6737)) )).
% 12.21/12.45 cnf(matrix-3099, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u6738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6738), _u6739), _u6740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6738), _u6741), _u6740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), c_Groups_Ozero__class_Ozero(_u6738)), _u6742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), c_Groups_Ozero__class_Ozero(_u6738)), _u6743)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6738), _u6742), _u6743) != c_Groups_Oone__class_Oone(_u6738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6738), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6738), _u6742), _u6739)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6738), _u6743), _u6741))), _u6740)) )).
% 12.21/12.45 cnf(matrix-3100, plain, ( ~class_Rings_Olinordered__idom(_u6744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6744), _u6745), _u6745)), c_Groups_Ozero__class_Ozero(_u6744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), _u6745), c_Groups_Ozero__class_Ozero(_u6744))) )).
% 12.21/12.45 cnf(matrix-3101, plain, ( ~class_Rings_Olinordered__idom(_u6744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), _u6745), c_Groups_Ozero__class_Ozero(_u6744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6744), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6744), _u6745), _u6745)), c_Groups_Ozero__class_Ozero(_u6744))) )).
% 12.21/12.45 cnf(matrix-3102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6749)) | ( hAPP(c_Finite__Set_Ocard(_u6747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6747, tc_HOL_Obool)), _u6748), _u6749)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6747), _u6748)), hAPP(c_Finite__Set_Ocard(_u6747), _u6749))) | hBOOL(hAPP(hAPP(c_member(_u6747), skolem116(_u6749, _u6748, _u6747)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6747, tc_HOL_Obool)), _u6748), _u6749))) )).
% 12.21/12.45 cnf(matrix-3103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6747), _u6749)) | ( hAPP(c_Finite__Set_Ocard(_u6747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6747, tc_HOL_Obool)), _u6748), _u6749)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6747), _u6748)), hAPP(c_Finite__Set_Ocard(_u6747), _u6749))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3104, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ( _u6759 = hAPP(hAPP(c_Set_Oinsert(_u6757), skolem117(_u6761, _u6759, _u6757)), skolem118(_u6761, _u6759, _u6757))) )).
% 12.21/12.45 cnf(matrix-3105, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ~hBOOL(hAPP(hAPP(c_member(_u6757), skolem117(_u6761, _u6759, _u6757)), skolem118(_u6761, _u6759, _u6757))) )).
% 12.21/12.45 cnf(matrix-3106, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ( hAPP(c_Finite__Set_Ocard(_u6757), skolem118(_u6761, _u6759, _u6757)) = _u6761) )).
% 12.21/12.45 cnf(matrix-3107, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6757), _u6759) != hAPP(c_Nat_OSuc, _u6761)) | ( _u6761 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem118(_u6761, _u6759, _u6757) = c_Orderings_Obot__class_Obot(tc_fun(_u6757, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3108, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6758), _u6760) = hAPP(c_Nat_OSuc, _u6762)) | ( _u6760 != hAPP(hAPP(c_Set_Oinsert(_u6758), _u6753), _u6752)) | hBOOL(hAPP(hAPP(c_member(_u6758), _u6753), _u6752)) | ( hAPP(c_Finite__Set_Ocard(_u6758), _u6752) != _u6762) | ( _u6762 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3109, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6758), _u6760) = hAPP(c_Nat_OSuc, _u6762)) | ( _u6760 != hAPP(hAPP(c_Set_Oinsert(_u6758), _u6753), _u6752)) | hBOOL(hAPP(hAPP(c_member(_u6758), _u6753), _u6752)) | ( hAPP(c_Finite__Set_Ocard(_u6758), _u6752) != _u6762) | ( _u6752 != c_Orderings_Obot__class_Obot(tc_fun(_u6758, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3110, plain, ( ( c_Option_Ooption_Ooption__size(_u6763, _u6764, hAPP(c_Option_Ooption_OSome(_u6763), _u6765)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6764, _u6765)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3111, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6766), _u6767)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u6766, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6766), _u6767)) = 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(_u6766), _u6767))) )).
% 12.21/12.45 cnf(matrix-3112, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6768) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6768), _u6769), _u6769) != c_Groups_Ozero__class_Ozero(_u6768)) | ( _u6769 = c_Groups_Ozero__class_Ozero(_u6768)) )).
% 12.21/12.45 cnf(matrix-3113, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6768) | ( _u6769 != c_Groups_Ozero__class_Ozero(_u6768)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6768), _u6769), _u6769) = c_Groups_Ozero__class_Ozero(_u6768)) )).
% 12.21/12.45 cnf(matrix-3114, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6774), _u6776)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6778), _u6780)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6774, _u6778)), c_Sum__Type_OPlus(_u6774, _u6778, _u6776, _u6780)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6774), _u6776)), hAPP(c_Finite__Set_Ocard(_u6778), _u6780))) )).
% 12.21/12.45 cnf(matrix-3115, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6775, _u6779)), c_Sum__Type_OPlus(_u6775, _u6779, _u6777, _u6781)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6775), _u6777)) )).
% 12.21/12.45 cnf(matrix-3116, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6775, _u6779)), c_Sum__Type_OPlus(_u6775, _u6779, _u6777, _u6781)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6779), _u6781)) )).
% 12.21/12.45 cnf(matrix-3117, plain, ( ~class_Rings_Ocomm__semiring__1(_u6782) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6782), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6782), _u6783), _u6784)), _u6785) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6782), hAPP(hAPP(c_Power_Opower__class_Opower(_u6782), _u6783), _u6785)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6782), _u6784), _u6785))) )).
% 12.21/12.45 cnf(matrix-3118, plain, ( ~class_Rings_Ocomm__semiring__1(_u6786) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6786), hAPP(hAPP(c_Power_Opower__class_Opower(_u6786), _u6787), _u6788)), _u6789) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6786), _u6787), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6788), _u6789))) )).
% 12.21/12.45 cnf(matrix-3119, plain, ( ~class_Rings_Ocomm__semiring__1(_u6790) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6790), _u6791), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6791) )).
% 12.21/12.45 cnf(matrix-3120, plain, ( ~class_Rings_Ocomm__semiring__1(_u6792) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6792), _u6793), hAPP(c_Nat_OSuc, _u6794)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6792), _u6793), hAPP(hAPP(c_Power_Opower__class_Opower(_u6792), _u6793), _u6794))) )).
% 12.21/12.45 cnf(matrix-3121, plain, ( ~class_Rings_Ocomm__semiring__1(_u6795) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6795), _u6796), hAPP(hAPP(c_Power_Opower__class_Opower(_u6795), _u6796), _u6797)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6795), _u6796), hAPP(c_Nat_OSuc, _u6797))) )).
% 12.21/12.45 cnf(matrix-3122, plain, ( ~class_Rings_Ocomm__semiring__1(_u6798) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6798), hAPP(hAPP(c_Power_Opower__class_Opower(_u6798), _u6799), _u6800)), _u6799) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6798), _u6799), hAPP(c_Nat_OSuc, _u6800))) )).
% 12.21/12.45 cnf(matrix-3123, plain, ( ~class_Rings_Ocomm__semiring__1(_u6801) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6801), _u6802), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6801)) )).
% 12.21/12.45 cnf(matrix-3124, plain, ( ~class_Rings_Ocomm__semiring__1(_u6803) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6803), hAPP(hAPP(c_Power_Opower__class_Opower(_u6803), _u6804), _u6805)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6803), _u6804), _u6806)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6803), _u6804), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6805), _u6806))) )).
% 12.21/12.45 cnf(matrix-3125, plain, ( ( c_Option_Ooption_Ooption__size(_u6807, _u6808, c_Option_Ooption_ONone(_u6807)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3126, plain, ( ( _u6811 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6813), _u6811) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3127, plain, ( ( _u6812 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6814), _u6812) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6814), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6814), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6812), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-3128, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6816), _u6818)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6815, _u6816)), c_Sum__Type_OPlus(_u6815, _u6816, _u6817, _u6818))) )).
% 12.21/12.45 cnf(matrix-3129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6819, _u6820)), c_Sum__Type_OPlus(_u6819, _u6820, _u6821, _u6822))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6819), _u6821)) )).
% 12.21/12.45 cnf(matrix-3130, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6823), _u6824)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6825), _u6826)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6823, _u6825)), c_Sum__Type_OPlus(_u6823, _u6825, _u6824, _u6826))) )).
% 12.21/12.45 cnf(matrix-3131, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6831, _u6833)), c_Sum__Type_OPlus(_u6831, _u6833, _u6835, _u6837))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6831), _u6835)) )).
% 12.21/12.45 cnf(matrix-3132, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6831, _u6833)), c_Sum__Type_OPlus(_u6831, _u6833, _u6835, _u6837))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6833), _u6837)) )).
% 12.21/12.45 cnf(matrix-3133, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6832), _u6836)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6834), _u6838)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6832, _u6834)), c_Sum__Type_OPlus(_u6832, _u6834, _u6836, _u6838))) )).
% 12.21/12.45 cnf(matrix-3134, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6839), _u6840)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6841), _u6842)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u6839, _u6841)), c_Sum__Type_OPlus(_u6839, _u6841, _u6840, _u6842)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6839), _u6840)), hAPP(c_Finite__Set_Ocard(_u6841), _u6842))) )).
% 12.21/12.45 cnf(matrix-3135, plain, ( ~class_Rings_Olinordered__semidom(_u6843) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6843), _u6844), _u6845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6843), c_Groups_Ozero__class_Ozero(_u6843)), _u6844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6843), hAPP(hAPP(c_Power_Opower__class_Opower(_u6843), _u6844), _u6846)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6843), _u6845), _u6846))) )).
% 12.21/12.45 cnf(matrix-3136, plain, ( ~class_Rings_Olinordered__semidom(_u6847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6847), c_Groups_Oone__class_Oone(_u6847)), _u6848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6847), c_Groups_Oone__class_Oone(_u6847)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6847), _u6848), _u6849))) )).
% 12.21/12.45 cnf(matrix-3137, plain, ( ~class_Rings_Olinordered__semidom(_u6850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6850), c_Groups_Oone__class_Oone(_u6850)), _u6851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6850), hAPP(hAPP(c_Power_Opower__class_Opower(_u6850), _u6851), _u6852)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6850), _u6851), _u6853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6852), _u6853)) )).
% 12.21/12.45 cnf(matrix-3138, plain, ( ~class_Rings_Olinordered__semidom(_u6854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6854), c_Groups_Oone__class_Oone(_u6854)), _u6855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6854), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6856)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6856), _u6857)) )).
% 12.21/12.45 cnf(matrix-3139, plain, ( ~class_Rings_Olinordered__semidom(_u6854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6854), c_Groups_Oone__class_Oone(_u6854)), _u6855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6856), _u6857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6854), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6856)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6854), _u6855), _u6857))) )).
% 12.21/12.45 cnf(matrix-3140, plain, ( ~class_Rings_Olinordered__semidom(_u6858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6859), _u6860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6858), c_Groups_Ozero__class_Ozero(_u6858)), _u6861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6858), _u6861), c_Groups_Oone__class_Oone(_u6858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6858), hAPP(hAPP(c_Power_Opower__class_Opower(_u6858), _u6861), _u6860)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6858), _u6861), _u6859))) )).
% 12.21/12.45 cnf(matrix-3141, plain, ( ~class_Rings_Olinordered__semidom(_u6862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6863), _u6864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), c_Groups_Ozero__class_Ozero(_u6862)), _u6865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), _u6865), c_Groups_Oone__class_Oone(_u6862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6862), hAPP(hAPP(c_Power_Opower__class_Opower(_u6862), _u6865), _u6864)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6862), _u6865), _u6863))) )).
% 12.21/12.45 cnf(matrix-3142, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6866), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6867), _u6868)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6866), _u6867)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6866), _u6868))) )).
% 12.21/12.45 cnf(matrix-3143, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6869), _u6870)), _u6871) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6869), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6870), _u6871))) )).
% 12.21/12.45 cnf(matrix-3144, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6872) | ( _u6873 = c_Groups_Ozero__class_Ozero(_u6872)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6872), _u6873), _u6874) != c_Groups_Ozero__class_Ozero(_u6872)) )).
% 12.21/12.45 cnf(matrix-3145, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6875) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6875), _u6876), _u6877)), _u6878) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6875), hAPP(hAPP(c_Power_Opower__class_Opower(_u6875), _u6876), _u6878)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6875), _u6877), _u6878))) )).
% 12.21/12.45 cnf(matrix-3146, plain, ( ~class_Groups_Omonoid__mult(_u6879) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6879), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881)), _u6880) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6879), _u6880), hAPP(hAPP(c_Power_Opower__class_Opower(_u6879), _u6880), _u6881))) )).
% 12.21/12.45 cnf(matrix-3147, plain, ( ~class_Groups_Omonoid__mult(_u6882) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6882), c_Groups_Oone__class_Oone(_u6882)), _u6883) = c_Groups_Oone__class_Oone(_u6882)) )).
% 12.21/12.45 cnf(matrix-3148, plain, ( ~class_Groups_Omonoid__mult(_u6884) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6886), _u6887)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6885), _u6886)), _u6887)) )).
% 12.21/12.45 cnf(matrix-3149, plain, ( ~class_Groups_Omonoid__mult(_u6888) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6888), _u6889), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6889) )).
% 12.21/12.45 cnf(matrix-3150, plain, ( ~class_Rings_Olinordered__semidom(_u6890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), _u6891), _u6892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), c_Groups_Ozero__class_Ozero(_u6890)), _u6891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6890), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6891), _u6893)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6890), _u6892), _u6893))) )).
% 12.21/12.45 cnf(matrix-3151, plain, ( ~class_Rings_Olinordered__semidom(_u6894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6894), c_Groups_Ozero__class_Ozero(_u6894)), _u6895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6894), c_Groups_Ozero__class_Ozero(_u6894)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6894), _u6895), _u6896))) )).
% 12.21/12.45 cnf(matrix-3152, plain, ( ~class_Rings_Olinordered__semidom(_u6897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6897), c_Groups_Ozero__class_Ozero(_u6897)), _u6898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6897), c_Groups_Ozero__class_Ozero(_u6897)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6897), _u6898), _u6899))) )).
% 12.21/12.45 cnf(matrix-3153, plain, ( ~class_Power_Opower(_u6900) | ~class_Rings_Omult__zero(_u6900) | ~class_Rings_Ono__zero__divisors(_u6900) | ~class_Rings_Ozero__neq__one(_u6900) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6900), _u6901), _u6902) != c_Groups_Ozero__class_Ozero(_u6900)) | ( _u6901 = c_Groups_Ozero__class_Ozero(_u6900)) )).
% 12.21/12.45 cnf(matrix-3154, plain, ( ~class_Power_Opower(_u6900) | ~class_Rings_Omult__zero(_u6900) | ~class_Rings_Ono__zero__divisors(_u6900) | ~class_Rings_Ozero__neq__one(_u6900) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6900), _u6901), _u6902) != c_Groups_Ozero__class_Ozero(_u6900)) | ( _u6902 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3155, plain, ( ~class_Power_Opower(_u6900) | ~class_Rings_Omult__zero(_u6900) | ~class_Rings_Ono__zero__divisors(_u6900) | ~class_Rings_Ozero__neq__one(_u6900) | ( _u6901 != c_Groups_Ozero__class_Ozero(_u6900)) | ( _u6902 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6900), _u6901), _u6902) = c_Groups_Ozero__class_Ozero(_u6900)) )).
% 12.21/12.45 cnf(matrix-3156, plain, ( ~class_Rings_Olinordered__semidom(_u6903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6903), c_Groups_Oone__class_Oone(_u6903)), _u6904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6903), c_Groups_Oone__class_Oone(_u6903)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6903), _u6904), _u6905))) )).
% 12.21/12.45 cnf(matrix-3157, plain, ( ~class_Power_Opower(_u6906) | ~class_Rings_Osemiring__0(_u6906) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6906), c_Groups_Ozero__class_Ozero(_u6906)), hAPP(c_Nat_OSuc, _u6907)) = c_Groups_Ozero__class_Ozero(_u6906)) )).
% 12.21/12.45 cnf(matrix-3158, plain, ( ~class_Rings_Olinordered__semidom(_u6908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), c_Groups_Oone__class_Oone(_u6908)), _u6909)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6911)) | ( _u6910 = _u6911) )).
% 12.21/12.45 cnf(matrix-3159, plain, ( ~class_Rings_Olinordered__semidom(_u6908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), c_Groups_Oone__class_Oone(_u6908)), _u6909)) | ( _u6910 != _u6911) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6910) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6908), _u6909), _u6911)) )).
% 12.21/12.45 cnf(matrix-3160, plain, ( ~class_Groups_Omonoid__mult(_u6912) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6912), _u6913), hAPP(c_Nat_OSuc, _u6914)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6912), hAPP(hAPP(c_Power_Opower__class_Opower(_u6912), _u6913), _u6914)), _u6913)) )).
% 12.21/12.45 cnf(matrix-3161, plain, ( ~class_Power_Opower(_u6915) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6915), _u6916), hAPP(c_Nat_OSuc, _u6917)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6915), _u6916), hAPP(hAPP(c_Power_Opower__class_Opower(_u6915), _u6916), _u6917))) )).
% 12.21/12.45 cnf(matrix-3162, plain, ( ~class_Power_Opower(_u6918) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6918), _u6919), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6918)) )).
% 12.21/12.45 cnf(matrix-3163, plain, ( ~class_Groups_Omonoid__mult(_u6920) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6920), _u6921), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6922), _u6923)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6920), hAPP(hAPP(c_Power_Opower__class_Opower(_u6920), _u6921), _u6922)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6920), _u6921), _u6923))) )).
% 12.21/12.45 cnf(matrix-3164, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6924) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3165, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6927), _u6929) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6929 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6927 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3166, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6928), _u6930) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6930 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3167, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6928), _u6930) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6928 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3168, 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), _u6933), _u6935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6933)) | ( _u6935 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3169, 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), _u6934), _u6936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6934)) )).
% 12.21/12.45 cnf(matrix-3170, 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), _u6934), _u6936))) | ( _u6936 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6937), _u6938)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6937), _u6939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6938), _u6939)) )).
% 12.21/12.45 cnf(matrix-3172, plain, ( ~class_Rings_Olinordered__semidom(_u6940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6940), hAPP(hAPP(c_Power_Opower__class_Opower(_u6940), _u6941), _u6942)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6940), _u6943), _u6942))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6940), c_Groups_Ozero__class_Ozero(_u6940)), _u6943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6940), _u6941), _u6943)) )).
% 12.21/12.45 cnf(matrix-3173, plain, ( ~class_Rings_Olinordered__semidom(_u6944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6944), hAPP(hAPP(c_Power_Opower__class_Opower(_u6944), _u6945), hAPP(c_Nat_OSuc, _u6946))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6944), _u6947), hAPP(c_Nat_OSuc, _u6946)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6944), c_Groups_Ozero__class_Ozero(_u6944)), _u6947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6944), _u6945), _u6947)) )).
% 12.21/12.45 cnf(matrix-3174, plain, ( ~class_Rings_Olinordered__semidom(_u6948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6948), _u6949), hAPP(c_Nat_OSuc, _u6950)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6948), _u6951), hAPP(c_Nat_OSuc, _u6950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6948), c_Groups_Ozero__class_Ozero(_u6948)), _u6949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6948), c_Groups_Ozero__class_Ozero(_u6948)), _u6951)) | ( _u6949 = _u6951) )).
% 12.21/12.45 cnf(matrix-3175, plain, ( ~class_Rings_Olinordered__semidom(_u6952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6952), c_Groups_Oone__class_Oone(_u6952)), _u6953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6952), c_Groups_Oone__class_Oone(_u6952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6952), _u6953), hAPP(hAPP(c_Power_Opower__class_Opower(_u6952), _u6953), _u6954)))) )).
% 12.21/12.45 cnf(matrix-3176, plain, ( ~class_Rings_Olinordered__semidom(_u6955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6955), c_Groups_Oone__class_Oone(_u6955)), _u6956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6955), hAPP(hAPP(c_Power_Opower__class_Opower(_u6955), _u6956), _u6957)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6955), _u6956), hAPP(hAPP(c_Power_Opower__class_Opower(_u6955), _u6956), _u6957)))) )).
% 12.21/12.45 cnf(matrix-3177, plain, ( ~class_Power_Opower(_u6958) | ~class_Rings_Osemiring__0(_u6958) | ( _u6959 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6958), c_Groups_Ozero__class_Ozero(_u6958)), _u6959) = c_Groups_Oone__class_Oone(_u6958)) )).
% 12.21/12.45 cnf(matrix-3178, plain, ( ~class_Power_Opower(_u6958) | ~class_Rings_Osemiring__0(_u6958) | ( _u6959 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6958), c_Groups_Ozero__class_Ozero(_u6958)), _u6959) = c_Groups_Ozero__class_Ozero(_u6958)) )).
% 12.21/12.45 cnf(matrix-3179, plain, ( ~class_Rings_Olinordered__semidom(_u6960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6960), c_Groups_Oone__class_Oone(_u6960)), _u6961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6960), c_Groups_Oone__class_Oone(_u6960)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6960), _u6961), hAPP(c_Nat_OSuc, _u6962)))) )).
% 12.21/12.45 cnf(matrix-3180, plain, ( ~class_Rings_Olinordered__semidom(_u6963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), c_Groups_Oone__class_Oone(_u6963)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6965)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6965), _u6966)) )).
% 12.21/12.45 cnf(matrix-3181, plain, ( ~class_Rings_Olinordered__semidom(_u6963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), c_Groups_Oone__class_Oone(_u6963)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6965), _u6966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6963), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6965)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6963), _u6964), _u6966))) )).
% 12.21/12.45 cnf(matrix-3182, plain, ( ~class_Rings_Olinordered__semidom(_u6967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6967), c_Groups_Oone__class_Oone(_u6967)), _u6968)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6967), hAPP(hAPP(c_Power_Opower__class_Opower(_u6967), _u6968), _u6969)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6967), _u6968), _u6970))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6969), _u6970)) )).
% 12.21/12.45 cnf(matrix-3183, plain, ( ~class_Rings_Olinordered__semidom(_u6971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6972), _u6973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6971), c_Groups_Oone__class_Oone(_u6971)), _u6974)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6971), hAPP(hAPP(c_Power_Opower__class_Opower(_u6971), _u6974), _u6972)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6971), _u6974), _u6973))) )).
% 12.21/12.45 cnf(matrix-3184, plain, ( ~class_Rings_Olinordered__semidom(_u6975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6976), _u6977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6975), c_Groups_Oone__class_Oone(_u6975)), _u6978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6975), hAPP(hAPP(c_Power_Opower__class_Opower(_u6975), _u6978), _u6976)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6975), _u6978), _u6977))) )).
% 12.21/12.45 cnf(matrix-3185, plain, ( ~class_Rings_Oring__1(_u6979) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6979), hAPP(c_Groups_Ouminus__class_Ouminus(_u6979), _u6980)), _u6981) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6979), hAPP(hAPP(c_Power_Opower__class_Opower(_u6979), hAPP(c_Groups_Ouminus__class_Ouminus(_u6979), c_Groups_Oone__class_Oone(_u6979))), _u6981)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6979), _u6980), _u6981))) )).
% 12.21/12.45 cnf(matrix-3186, 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))), _u6982)) | 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), _u6982), _u6983))) )).
% 12.21/12.45 cnf(matrix-3187, plain, ( ~class_Rings_Olinordered__semidom(_u6984) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6984), c_Groups_Ozero__class_Ozero(_u6984)), _u6985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6984), _u6985), c_Groups_Oone__class_Oone(_u6984))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6984), _u6985), hAPP(hAPP(c_Power_Opower__class_Opower(_u6984), _u6985), _u6986))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6984), _u6985), _u6986))) )).
% 12.21/12.45 cnf(matrix-3188, plain, ( ~class_Rings_Olinordered__semidom(_u6987) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6987), _u6988), _u6989) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6987), _u6990), _u6989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6987), c_Groups_Ozero__class_Ozero(_u6987)), _u6988)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6987), c_Groups_Ozero__class_Ozero(_u6987)), _u6990)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6989)) | ( _u6988 = _u6990) )).
% 12.21/12.45 cnf(matrix-3189, plain, ( ~class_Rings_Olinordered__semidom(_u6991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6991), c_Groups_Ozero__class_Ozero(_u6991)), _u6992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6991), _u6992), c_Groups_Oone__class_Oone(_u6991))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6991), hAPP(hAPP(c_Power_Opower__class_Opower(_u6991), _u6992), hAPP(c_Nat_OSuc, _u6993))), c_Groups_Oone__class_Oone(_u6991))) )).
% 12.21/12.45 cnf(matrix-3190, plain, ( ( c_Sum__Type_OPlus(_u6994, _u6995, c_Orderings_Otop__class_Otop(tc_fun(_u6994, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6995, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6994, _u6995), tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3191, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u6996)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u6996)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3192, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7007, _u7003)), hAPP(_u7007, _u7005))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7001, _u7001)), hAPP(hAPP(c_Product__Type_OPair(_u7001, _u7001), _u7003), _u7005)), hAPP(c_Wellfounded_Omeasure(_u7001), _u7007))) )).
% 12.21/12.45 cnf(matrix-3193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7008, _u7004)), hAPP(_u7008, _u7006))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7002, _u7002)), hAPP(hAPP(c_Product__Type_OPair(_u7002, _u7002), _u7004), _u7006)), hAPP(c_Wellfounded_Omeasure(_u7002), _u7008))) )).
% 12.21/12.45 cnf(matrix-3194, plain, ( ( c_Sum__Type_OPlus(_u7013, _u7015, _u7017, _u7019) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7013, _u7015), tc_HOL_Obool))) | ( _u7017 = c_Orderings_Obot__class_Obot(tc_fun(_u7013, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3195, plain, ( ( c_Sum__Type_OPlus(_u7013, _u7015, _u7017, _u7019) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7013, _u7015), tc_HOL_Obool))) | ( _u7019 = c_Orderings_Obot__class_Obot(tc_fun(_u7015, tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3196, plain, ( ( _u7018 != c_Orderings_Obot__class_Obot(tc_fun(_u7014, tc_HOL_Obool))) | ( _u7020 != c_Orderings_Obot__class_Obot(tc_fun(_u7016, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u7014, _u7016, _u7018, _u7020) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7014, _u7016), tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3197, plain, ( ~class_Power_Opower(_u7021) | ( c_Power_Opower__class_Opower(_u7021) = c_Power_Opower_Opower(_u7021, c_Groups_Oone__class_Oone(_u7021), c_Groups_Otimes__class_Otimes(_u7021))) )).
% 12.21/12.45 cnf(matrix-3198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7022, _u7023)), hAPP(_u7022, _u7024))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7025, _u7025)), hAPP(hAPP(c_Product__Type_OPair(_u7025, _u7025), _u7023), _u7024)), _u7026)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7025, _u7025)), hAPP(hAPP(c_Product__Type_OPair(_u7025, _u7025), _u7023), _u7024)), c_Wellfounded_Omlex__prod(_u7025, _u7022, _u7026))) )).
% 12.21/12.45 cnf(matrix-3199, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7027), _u7028)), _u7029) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7027), _u7029)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7028), _u7029))) )).
% 12.21/12.45 cnf(matrix-3200, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7030), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7030), _u7032))) )).
% 12.21/12.45 cnf(matrix-3201, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7033)), _u7034) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7033), _u7034))) )).
% 12.21/12.45 cnf(matrix-3202, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7035), _u7036)), _u7037) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7036), _u7037))) )).
% 12.21/12.45 cnf(matrix-3203, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7038), _u7039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7039), _u7038)) )).
% 12.21/12.45 cnf(matrix-3204, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7040), _u7041)), _u7042) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7040), _u7042)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7041), _u7042))) )).
% 12.21/12.45 cnf(matrix-3205, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7044), _u7045)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7043), _u7044)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7043), _u7045))) )).
% 12.21/12.45 cnf(matrix-3206, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7046), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u7046) )).
% 12.21/12.45 cnf(matrix-3207, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7047) = _u7047) )).
% 12.21/12.45 cnf(matrix-3208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7048)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7048), _u7049) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u7048 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7048)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7048), _u7049) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u7049 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7048)) | ( _u7048 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u7049 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7048), _u7049) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7050), _u7051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7052), _u7050)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7052), _u7051))) )).
% 12.21/12.45 cnf(matrix-3212, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7053, _u7054, _u7055), _u7056), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7054) )).
% 12.21/12.45 cnf(matrix-3213, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u7057, _u7058, _u7059), _u7060), hAPP(c_Nat_OSuc, _u7061)) = hAPP(hAPP(_u7059, _u7060), hAPP(hAPP(c_Power_Opower_Opower(_u7057, _u7058, _u7059), _u7060), _u7061))) )).
% 12.21/12.45 cnf(matrix-3214, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7062, _u7063)), hAPP(_u7062, _u7064))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7065, _u7065)), hAPP(hAPP(c_Product__Type_OPair(_u7065, _u7065), _u7063), _u7064)), c_Wellfounded_Omlex__prod(_u7065, _u7062, _u7066))) )).
% 12.21/12.45 cnf(matrix-3216, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7067)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7067)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3217, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u7068)), hAPP(c_Option_Ooption_OSome(_u7068), _u7069)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3218, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u7070)), c_Option_Ooption_ONone(_u7070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3219, plain, ( ~class_Rings_Olinordered__idom(_u7071) | ~hBOOL(hAPP(hAPP(c_member(_u7071), _u7072), c_Int_Oring__1__class_OInts(_u7071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), c_Groups_Oone__class_Oone(_u7071)), _u7072)), _u7072)), c_Groups_Ozero__class_Ozero(_u7071))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), _u7072), c_Groups_Ozero__class_Ozero(_u7071))) )).
% 12.21/12.45 cnf(matrix-3220, plain, ( ~class_Rings_Olinordered__idom(_u7071) | ~hBOOL(hAPP(hAPP(c_member(_u7071), _u7072), c_Int_Oring__1__class_OInts(_u7071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), _u7072), c_Groups_Ozero__class_Ozero(_u7071))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7071), c_Groups_Oone__class_Oone(_u7071)), _u7072)), _u7072)), c_Groups_Ozero__class_Ozero(_u7071))) )).
% 12.21/12.45 cnf(matrix-3221, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7085), _u7087)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7089), _u7091))), c_Wellfounded_Olex__prod(_u7081, _u7083, _u7093, _u7095))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7081, _u7081)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7081), _u7085), _u7089)), _u7093)) | ( _u7085 = _u7089) )).
% 12.21/12.45 cnf(matrix-3222, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7081, _u7083), tc_prod(_u7081, _u7083)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7085), _u7087)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7083), _u7089), _u7091))), c_Wellfounded_Olex__prod(_u7081, _u7083, _u7093, _u7095))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7081, _u7081)), hAPP(hAPP(c_Product__Type_OPair(_u7081, _u7081), _u7085), _u7089)), _u7093)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7083, _u7083)), hAPP(hAPP(c_Product__Type_OPair(_u7083, _u7083), _u7087), _u7091)), _u7095)) )).
% 12.21/12.45 cnf(matrix-3223, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7086), _u7088)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7090), _u7092))), c_Wellfounded_Olex__prod(_u7082, _u7084, _u7094, _u7096))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7082, _u7082)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7082), _u7086), _u7090)), _u7094)) )).
% 12.21/12.45 cnf(matrix-3224, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7082, _u7084), tc_prod(_u7082, _u7084)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7086), _u7088)), hAPP(hAPP(c_Product__Type_OPair(_u7082, _u7084), _u7090), _u7092))), c_Wellfounded_Olex__prod(_u7082, _u7084, _u7094, _u7096))) | ( _u7086 != _u7090) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7084, _u7084)), hAPP(hAPP(c_Product__Type_OPair(_u7084, _u7084), _u7088), _u7092)), _u7096)) )).
% 12.21/12.45 cnf(matrix-3225, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool)), _u7102), _u7104)), c_Wellfounded_Ofinite__psubset(_u7100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7100, tc_HOL_Obool)), _u7102), _u7104)) )).
% 12.21/12.45 cnf(matrix-3226, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7100, tc_HOL_Obool), tc_fun(_u7100, tc_HOL_Obool)), _u7102), _u7104)), c_Wellfounded_Ofinite__psubset(_u7100))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7100), _u7104)) )).
% 12.21/12.45 cnf(matrix-3227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7101, tc_HOL_Obool)), _u7103), _u7105)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7101), _u7105)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7101, tc_HOL_Obool), tc_fun(_u7101, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7101, tc_HOL_Obool), tc_fun(_u7101, tc_HOL_Obool)), _u7103), _u7105)), c_Wellfounded_Ofinite__psubset(_u7101))) )).
% 12.21/12.45 cnf(matrix-3228, 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)), _u7107)), _u7107)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7107), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7108), 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)), _u7108)), _u7108)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3230, 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)), _u7109)), _u7109) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7110)) | 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)), _u7110))) )).
% 12.21/12.45 cnf(matrix-3232, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7111), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u7111) )).
% 12.21/12.45 cnf(matrix-3233, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7112) = _u7112) )).
% 12.21/12.45 cnf(matrix-3234, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7113)), _u7113) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7116), _u7118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7116), _u7118)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7117), _u7119)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7117), _u7119)) )).
% 12.21/12.45 cnf(matrix-3237, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7121)) )).
% 12.21/12.45 cnf(matrix-3239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7122)) )).
% 12.21/12.45 cnf(matrix-3240, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3241, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7127), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7125), _u7127)) )).
% 12.21/12.45 cnf(matrix-3243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7126), _u7128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7126), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7128), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-3244, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7129)) = _u7129) )).
% 12.21/12.45 cnf(matrix-3245, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7130), _u7131)) | ( _u7130 = _u7131) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7131), _u7130)) )).
% 12.21/12.45 cnf(matrix-3246, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u7132) = _u7132) )).
% 12.21/12.45 cnf(matrix-3247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7135), _u7137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7135), _u7137)) )).
% 12.21/12.45 cnf(matrix-3248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7135), _u7137)) | ( _u7135 != _u7137) )).
% 12.21/12.45 cnf(matrix-3249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7136), _u7138)) | ( _u7136 = _u7138) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7136), _u7138)) )).
% 12.21/12.45 cnf(matrix-3250, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7139), _u7140)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7139)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7140))) )).
% 12.21/12.45 cnf(matrix-3251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7141), _u7142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7141), _u7143)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7142), _u7143))) )).
% 12.21/12.45 cnf(matrix-3252, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7144), _u7145) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7145), _u7144)) )).
% 12.21/12.45 cnf(matrix-3253, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7146), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7147), _u7148)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7147), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7146), _u7148))) )).
% 12.21/12.45 cnf(matrix-3254, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7149), _u7150)), _u7151) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7149), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7150), _u7151))) )).
% 12.21/12.45 cnf(matrix-3255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7152), _u7153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7154), _u7152)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7154), _u7153))) )).
% 12.21/12.45 cnf(matrix-3256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7155), _u7156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7157), _u7158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7155), _u7157)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7156), _u7158))) )).
% 12.21/12.45 cnf(matrix-3257, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7159), _u7160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7159), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7160))) )).
% 12.21/12.45 cnf(matrix-3258, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7161), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7162)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7161), _u7162)) )).
% 12.21/12.45 cnf(matrix-3259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7165), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7167), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7165), _u7167)) )).
% 12.21/12.45 cnf(matrix-3260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7166), _u7168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7168), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-3261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7171), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7173)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7171), _u7173)) )).
% 12.21/12.45 cnf(matrix-3262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7172), _u7174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7172), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7174)) )).
% 12.21/12.45 cnf(matrix-3263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7175), _u7176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7175), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7176)) )).
% 12.21/12.45 cnf(matrix-3264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7179), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7181), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7179), _u7181)) | ( _u7179 = _u7181) )).
% 12.21/12.45 cnf(matrix-3265, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7180), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7182), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7180), _u7182)) )).
% 12.21/12.45 cnf(matrix-3266, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7180), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7182), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u7180 != _u7182) )).
% 12.21/12.45 cnf(matrix-3267, plain, ( ~class_Rings_Oring__1(_u7183) | hBOOL(hAPP(hAPP(c_member(_u7183), c_Groups_Ozero__class_Ozero(_u7183)), c_Int_Oring__1__class_OInts(_u7183))) )).
% 12.21/12.45 cnf(matrix-3268, plain, ( ~class_Rings_Oring__1(_u7184) | ~hBOOL(hAPP(hAPP(c_member(_u7184), _u7185), c_Int_Oring__1__class_OInts(_u7184))) | ~hBOOL(hAPP(hAPP(c_member(_u7184), _u7186), c_Int_Oring__1__class_OInts(_u7184))) | hBOOL(hAPP(hAPP(c_member(_u7184), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7184), _u7185), _u7186)), c_Int_Oring__1__class_OInts(_u7184))) )).
% 12.21/12.45 cnf(matrix-3269, plain, ( ~class_Rings_Oring__1(_u7187) | ~hBOOL(hAPP(hAPP(c_member(_u7187), _u7188), c_Int_Oring__1__class_OInts(_u7187))) | ~hBOOL(hAPP(hAPP(c_member(_u7187), _u7189), c_Int_Oring__1__class_OInts(_u7187))) | hBOOL(hAPP(hAPP(c_member(_u7187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7187), _u7188), _u7189)), c_Int_Oring__1__class_OInts(_u7187))) )).
% 12.21/12.45 cnf(matrix-3270, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3271, plain, ( ~class_Rings_Oring__1(_u7190) | ~hBOOL(hAPP(hAPP(c_member(_u7190), _u7191), c_Int_Oring__1__class_OInts(_u7190))) | ~hBOOL(hAPP(hAPP(c_member(_u7190), _u7192), c_Int_Oring__1__class_OInts(_u7190))) | hBOOL(hAPP(hAPP(c_member(_u7190), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7190), _u7191), _u7192)), c_Int_Oring__1__class_OInts(_u7190))) )).
% 12.21/12.45 cnf(matrix-3272, plain, ( ~class_Rings_Oring__1(_u7193) | hBOOL(hAPP(hAPP(c_member(_u7193), c_Groups_Oone__class_Oone(_u7193)), c_Int_Oring__1__class_OInts(_u7193))) )).
% 12.21/12.45 cnf(matrix-3273, plain, ( ~class_Rings_Oring__1(_u7194) | ~hBOOL(hAPP(hAPP(c_member(_u7194), _u7195), c_Int_Oring__1__class_OInts(_u7194))) | hBOOL(hAPP(hAPP(c_member(_u7194), hAPP(c_Groups_Ouminus__class_Ouminus(_u7194), _u7195)), c_Int_Oring__1__class_OInts(_u7194))) )).
% 12.21/12.45 cnf(matrix-3274, plain, ( ~class_Rings_Oring__1(_u7196) | ~hBOOL(hAPP(hAPP(c_member(_u7196), _u7197), c_Int_Oring__1__class_OInts(_u7196))) | hBOOL(hAPP(hAPP(c_member(_u7196), hAPP(hAPP(c_Power_Opower__class_Opower(_u7196), _u7197), _u7198)), c_Int_Oring__1__class_OInts(_u7196))) )).
% 12.21/12.45 cnf(matrix-3275, plain, ( ~class_Int_Oring__char__0(_u7199) | ~hBOOL(hAPP(hAPP(c_member(_u7199), _u7200), c_Int_Oring__1__class_OInts(_u7199))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7199), _u7200), _u7200) != c_Groups_Ozero__class_Ozero(_u7199)) | ( _u7200 = c_Groups_Ozero__class_Ozero(_u7199)) )).
% 12.21/12.45 cnf(matrix-3276, plain, ( ~class_Int_Oring__char__0(_u7199) | ~hBOOL(hAPP(hAPP(c_member(_u7199), _u7200), c_Int_Oring__1__class_OInts(_u7199))) | ( _u7200 != c_Groups_Ozero__class_Ozero(_u7199)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7199), _u7200), _u7200) = c_Groups_Ozero__class_Ozero(_u7199)) )).
% 12.21/12.45 cnf(matrix-3277, plain, ( ~class_Int_Oring__char__0(_u7201) | ~hBOOL(hAPP(hAPP(c_member(_u7201), _u7202), c_Int_Oring__1__class_OInts(_u7201))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7201), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7201), c_Groups_Oone__class_Oone(_u7201)), _u7202)), _u7202) != c_Groups_Ozero__class_Ozero(_u7201)) )).
% 12.21/12.45 cnf(matrix-3278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7203)) | ( _u7203 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7203), _u7205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7204), _u7203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7205)) )).
% 12.21/12.45 cnf(matrix-3279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7206)) | ( _u7206 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7206), _u7208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7208), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3280, 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), _u7209), _u7210)), _u7211))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7211), _u7209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7210)) )).
% 12.21/12.45 cnf(matrix-3281, 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), _u7212), _u7213)), _u7214)), 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)), _u7214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7213), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3282, 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), _u7215), _u7216)), _u7217)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7215), _u7218)), _u7219))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7217), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7219), _u7215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7216), _u7218)) )).
% 12.21/12.45 cnf(matrix-3283, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7220), _u7221)), _u7222) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7223), _u7224)), _u7225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7223), _u7224)), _u7225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7225), _u7223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7223), _u7220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7221), _u7224)) )).
% 12.21/12.45 cnf(matrix-3284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7226), _u7227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7227), _u7226)) | ( _u7226 = _u7227) )).
% 12.21/12.45 cnf(matrix-3285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7228), _u7229)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7229), _u7230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7228), _u7230)) )).
% 12.21/12.45 cnf(matrix-3286, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7231), _u7232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7232), _u7231)) )).
% 12.21/12.45 cnf(matrix-3287, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7233), _u7233)) )).
% 12.21/12.45 cnf(matrix-3288, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7234), _u7235)), _u7236) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7237), _u7238)), _u7239)) | ~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), _u7237), _u7238)), _u7239)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7236), _u7234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7237), _u7234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7238), _u7235)) )).
% 12.21/12.45 cnf(matrix-3289, 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), _u7240), _u7241)), _u7242)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7240), _u7243)), _u7244))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7244), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7240), _u7244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7240), _u7242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7243), _u7241)) )).
% 12.21/12.45 cnf(matrix-3290, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7245)) | 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), _u7245), _u7246))) )).
% 12.21/12.45 cnf(matrix-3291, plain, ( ~hBOOL(hAPP(_u7247, _u7248)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7249, _u7249)), hAPP(hAPP(c_Product__Type_OPair(_u7249, _u7249), _u7250), _u7251)), hAPP(_u7252, _u7248))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7253, _u7249), tc_prod(_u7253, _u7249))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7253, _u7249), tc_prod(_u7253, _u7249)), hAPP(hAPP(c_Product__Type_OPair(_u7253, _u7249), _u7248), _u7250)), hAPP(hAPP(c_Product__Type_OPair(_u7253, _u7249), _u7248), _u7251))), c_Recdef_Osame__fst(_u7253, _u7249, _u7247, _u7252))) )).
% 12.21/12.45 cnf(matrix-3292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7255)) | 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), _u7254), _u7255))) )).
% 12.21/12.45 cnf(matrix-3293, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7257)) | 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), _u7256), _u7257))) )).
% 12.21/12.45 cnf(matrix-3295, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7260), _u7262)) | ( c_Nat__Transfer_Otsub(_u7262, _u7260) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7262), _u7260)) )).
% 12.21/12.45 cnf(matrix-3297, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7261), _u7263)) | ( c_Nat__Transfer_Otsub(_u7263, _u7261) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7265)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7265), _u7264)), _u7265) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7265), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7264), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-3299, plain, ( ( _u7266 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7267), _u7268)), _u7269)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7266, _u7267), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7268), _u7269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7267), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3300, plain, ( ( _u7266 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7267), _u7268)), _u7269)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7266, _u7267), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7268), _u7269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7269), _u7267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7267)) )).
% 12.21/12.45 cnf(matrix-3301, plain, ( ( _u7266 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7267), _u7268)), _u7269)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7266, _u7267), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7268), _u7269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7269), _u7267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7267), _u7269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3302, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7270) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7271), _u7272)) | ~hBOOL(hAPP(hAPP(c_member(_u7271), _u7273), _u7272)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7271, _u7270), hAPP(hAPP(c_COMBC(_u7271, _u7270, _u7270), hAPP(hAPP(c_COMBS(_u7271, _u7270, tc_fun(_u7270, _u7270)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7270, tc_fun(_u7270, _u7270)), _u7271), c_If(_u7270)), hAPP(hAPP(c_COMBC(_u7271, _u7271, tc_HOL_Obool), c_fequal), _u7273))), _u7274)), _u7275)), _u7272) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7270), hAPP(_u7274, _u7273)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7270), _u7275), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7271), _u7272)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-3303, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7270) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7271), _u7272)) | hBOOL(hAPP(hAPP(c_member(_u7271), _u7273), _u7272)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7271, _u7270), hAPP(hAPP(c_COMBC(_u7271, _u7270, _u7270), hAPP(hAPP(c_COMBS(_u7271, _u7270, tc_fun(_u7270, _u7270)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7270, tc_fun(_u7270, _u7270)), _u7271), c_If(_u7270)), hAPP(hAPP(c_COMBC(_u7271, _u7271, tc_HOL_Obool), c_fequal), _u7273))), _u7274)), _u7275)), _u7272) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7270), _u7275), hAPP(c_Finite__Set_Ocard(_u7271), _u7272))) )).
% 12.21/12.45 cnf(matrix-3304, plain, ( hBOOL(hAPP(_u7278, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7278, _u7279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u7279, _u7278)), _u7279)) )).
% 12.21/12.45 cnf(matrix-3305, plain, ( hBOOL(hAPP(_u7278, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7278, _u7279)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7276), skolem119(_u7279, _u7278))) | ~hBOOL(hAPP(_u7278, _u7276)) )).
% 12.21/12.45 cnf(matrix-3306, plain, ( hBOOL(hAPP(_u7278, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7278, _u7279)) | hBOOL(hAPP(_u7278, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem119(_u7279, _u7278)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3307, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool)), _u7281), _u7282)), c_Wellfounded_Omax__ext(_u7280, _u7283))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool)), _u7284), _u7285)), c_Wellfounded_Omax__ext(_u7280, _u7283))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7280, tc_HOL_Obool), tc_fun(_u7280, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7280, tc_HOL_Obool)), _u7281), _u7284)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7280, tc_HOL_Obool)), _u7282), _u7285))), c_Wellfounded_Omax__ext(_u7280, _u7283))) )).
% 12.21/12.45 cnf(matrix-3308, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7286, _u7287), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7288), _u7289))) | ( _u7287 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7286), _u7287) = _u7288) )).
% 12.21/12.45 cnf(matrix-3309, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7290) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3310, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7291)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7292)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7291), _u7292)) )).
% 12.21/12.45 cnf(matrix-3311, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7293), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7294)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7293)), _u7294)) )).
% 12.21/12.45 cnf(matrix-3312, plain, ( ~class_Divides_Osemiring__div(_u7295) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7295), _u7296), c_Groups_Ozero__class_Ozero(_u7295)) = c_Groups_Ozero__class_Ozero(_u7295)) )).
% 12.21/12.45 cnf(matrix-3313, plain, ( ~class_Divides_Osemiring__div(_u7297) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7297), c_Groups_Ozero__class_Ozero(_u7297)), _u7298) = c_Groups_Ozero__class_Ozero(_u7297)) )).
% 12.21/12.45 cnf(matrix-3314, plain, ( ~class_Divides_Osemiring__div(_u7299) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7299), _u7300), c_Groups_Oone__class_Oone(_u7299)) = _u7300) )).
% 12.21/12.45 cnf(matrix-3315, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7301) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7302, _u7301), hAPP(hAPP(c_COMBS(_u7302, _u7301, _u7301), hAPP(hAPP(c_COMBB(_u7301, tc_fun(_u7301, _u7301), _u7302), c_Groups_Otimes__class_Otimes(_u7301)), _u7303)), _u7304)), _u7305) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7302, _u7301), _u7303), _u7305)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7302, _u7301), _u7304), _u7305))) )).
% 12.21/12.45 cnf(matrix-3316, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7307, _u7306), hAPP(c_COMBK(_u7306, _u7307), c_Groups_Oone__class_Oone(_u7306))), _u7308) = c_Groups_Oone__class_Oone(_u7306)) )).
% 12.21/12.45 cnf(matrix-3317, plain, ( ( _u7309 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7309), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-3318, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7310, _u7310), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7311), _u7312))) | ( _u7310 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7312 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3319, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7313, _u7314), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7315), _u7316))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7313, _u7314), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7317), _u7318))) | ( _u7314 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7315 = _u7317) )).
% 12.21/12.45 cnf(matrix-3320, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7319, _u7320), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7321), _u7322))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7319, _u7320), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7323), _u7324))) | ( _u7320 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7322 = _u7324) )).
% 12.21/12.45 cnf(matrix-3321, plain, ( ~class_Rings_Ocomm__semiring__1(_u7327) | ~class_Rings_Ono__zero__divisors(_u7327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7328), _u7329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7328, _u7327), _u7330), _u7329) != c_Groups_Ozero__class_Ozero(_u7327)) | hBOOL(hAPP(hAPP(c_member(_u7328), skolem120(_u7330, _u7329, _u7328, _u7327)), _u7329)) )).
% 12.21/12.45 cnf(matrix-3322, plain, ( ~class_Rings_Ocomm__semiring__1(_u7327) | ~class_Rings_Ono__zero__divisors(_u7327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7328), _u7329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7328, _u7327), _u7330), _u7329) != c_Groups_Ozero__class_Ozero(_u7327)) | ( hAPP(_u7330, skolem120(_u7330, _u7329, _u7328, _u7327)) = c_Groups_Ozero__class_Ozero(_u7327)) )).
% 12.21/12.45 cnf(matrix-3323, plain, ( ~class_Rings_Ocomm__semiring__1(_u7327) | ~class_Rings_Ono__zero__divisors(_u7327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7328), _u7329)) | ~hBOOL(hAPP(hAPP(c_member(_u7328), _u7326), _u7329)) | ( hAPP(_u7330, _u7326) != c_Groups_Ozero__class_Ozero(_u7327)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7328, _u7327), _u7330), _u7329) = c_Groups_Ozero__class_Ozero(_u7327)) )).
% 12.21/12.45 cnf(matrix-3324, plain, ( ~class_Rings_Ocomm__semiring__1(_u7332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7333), _u7334)) | ~hBOOL(hAPP(hAPP(c_member(_u7333), _u7331), _u7334)) | ( hAPP(_u7335, _u7331) != c_Groups_Ozero__class_Ozero(_u7332)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7333, _u7332), _u7335), _u7334) = c_Groups_Ozero__class_Ozero(_u7332)) )).
% 12.21/12.45 cnf(matrix-3325, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7336) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7337, _u7336), _u7338), c_Orderings_Obot__class_Obot(tc_fun(_u7337, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u7336)) )).
% 12.21/12.45 cnf(matrix-3326, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7339) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7340, _u7339), _u7341), c_Orderings_Obot__class_Obot(tc_fun(_u7340, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u7339)) )).
% 12.21/12.45 cnf(matrix-3327, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7342) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7343), _u7344)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7343, _u7342), _u7345), _u7344) = c_Groups_Oone__class_Oone(_u7342)) )).
% 12.21/12.45 cnf(matrix-3328, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7346) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7347), _u7348)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7347, _u7346), _u7349), _u7348) = c_Groups_Oone__class_Oone(_u7346)) )).
% 12.21/12.45 cnf(matrix-3329, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7352, tc_Nat_Onat), _u7354), _u7353) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7352), _u7350), _u7353)) | ( hAPP(_u7354, _u7350) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3330, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7352, tc_Nat_Onat), _u7354), _u7353) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7352), skolem121(_u7354, _u7353, _u7352)), _u7353)) )).
% 12.21/12.45 cnf(matrix-3331, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7352, tc_Nat_Onat), _u7354), _u7353) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u7354, skolem121(_u7354, _u7353, _u7352)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7356)) | 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), _u7355), _u7356))) )).
% 12.21/12.45 cnf(matrix-3333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7357), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7357), _u7358)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7359), 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), _u7360), _u7359)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7360)) )).
% 12.21/12.45 cnf(matrix-3335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7359), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7360), _u7359)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7362), _u7361)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7362), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7362), 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), _u7362), _u7361)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3338, plain, ( ( _u7363 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7363), _u7363) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3339, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7365), _u7366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7365, _u7364), hAPP(hAPP(c_COMBS(_u7365, _u7364, _u7364), hAPP(hAPP(c_COMBB(_u7364, tc_fun(_u7364, _u7364), _u7365), c_Groups_Otimes__class_Otimes(_u7364)), _u7367)), _u7368)), _u7366) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7364), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7365, _u7364), _u7367), _u7366)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7365, _u7364), _u7368), _u7366))) )).
% 12.21/12.45 cnf(matrix-3340, plain, ( ~class_Divides_Osemiring__div(_u7369) | ( _u7370 != c_Groups_Ozero__class_Ozero(_u7369)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7372)) = c_Groups_Ozero__class_Ozero(_u7369)) )).
% 12.21/12.45 cnf(matrix-3341, plain, ( ~class_Divides_Osemiring__div(_u7369) | ( _u7370 = c_Groups_Ozero__class_Ozero(_u7369)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7369), _u7370), _u7372)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7369), _u7371), _u7372)) )).
% 12.21/12.45 cnf(matrix-3342, plain, ( ~class_Divides_Osemiring__div(_u7373) | ( _u7374 = c_Groups_Ozero__class_Ozero(_u7373)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7373), _u7375), _u7374)), _u7374) = _u7375) )).
% 12.21/12.45 cnf(matrix-3343, plain, ( ~class_Divides_Osemiring__div(_u7376) | ( _u7377 = c_Groups_Ozero__class_Ozero(_u7376)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7376), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7376), _u7377), _u7378)), _u7377) = _u7378) )).
% 12.21/12.45 cnf(matrix-3344, plain, ( ~class_Divides_Osemiring__div(_u7379) | ( _u7380 = c_Groups_Ozero__class_Ozero(_u7379)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7379), _u7381), _u7380)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7379), _u7382), _u7380)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7379), _u7381), _u7382)) )).
% 12.21/12.45 cnf(matrix-3345, plain, ( ~class_Divides_Osemiring__div(_u7383) | ( _u7384 = c_Groups_Ozero__class_Ozero(_u7383)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7383), _u7384), _u7385)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7383), _u7384), _u7386)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7383), _u7385), _u7386)) )).
% 12.21/12.45 cnf(matrix-3346, plain, ( ~class_Divides_Osemiring__div(_u7387) | ( _u7388 = c_Groups_Ozero__class_Ozero(_u7387)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7387), _u7388), _u7388) = c_Groups_Oone__class_Oone(_u7387)) )).
% 12.21/12.45 cnf(matrix-3347, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7391), _u7392)) | ~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(_u7391, tc_Nat_Onat), _u7393), _u7392))) | ~hBOOL(hAPP(hAPP(c_member(_u7391), _u7389), _u7392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7393, _u7389))) )).
% 12.21/12.45 cnf(matrix-3348, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7391), _u7392)) | 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(_u7391, tc_Nat_Onat), _u7393), _u7392))) | hBOOL(hAPP(hAPP(c_member(_u7391), skolem122(_u7393, _u7392, _u7391)), _u7392)) )).
% 12.21/12.45 cnf(matrix-3349, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7391), _u7392)) | 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(_u7391, tc_Nat_Onat), _u7393), _u7392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u7393, skolem122(_u7393, _u7392, _u7391)))) )).
% 12.21/12.45 cnf(matrix-3350, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7394) | ~c_Fun_Oinj__on(_u7395, _u7396, _u7397, _u7398) | ( _u7399 != hAPP(c_Set_Oimage(_u7395, _u7396, _u7397), _u7398)) | ( _u7400 != hAPP(c_Fun_Ocomp(_u7396, _u7394, _u7395, _u7401), _u7397)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7396, _u7394), _u7401), _u7399) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7395, _u7394), _u7400), _u7398)) )).
% 12.21/12.45 cnf(matrix-3351, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7402) | ~c_Fun_Oinj__on(_u7403, _u7404, _u7405, _u7406) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7404, _u7402), _u7407), hAPP(c_Set_Oimage(_u7403, _u7404, _u7405), _u7406)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7403, _u7402), hAPP(c_Fun_Ocomp(_u7404, _u7402, _u7403, _u7407), _u7405)), _u7406)) )).
% 12.21/12.45 cnf(matrix-3352, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7408, _u7408), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7409), _u7410))) | ( _u7408 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7409 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7411), _u7412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7413), 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), _u7412), _u7413)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7411), _u7413))) )).
% 12.21/12.45 cnf(matrix-3354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7414), _u7415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7414), _u7416)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7415), _u7416))) )).
% 12.21/12.45 cnf(matrix-3355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7417), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7418), _u7417)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7417), _u7418) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7419), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7420), _u7421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7419), _u7420)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7419), _u7421))) )).
% 12.21/12.45 cnf(matrix-3357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7422), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7422), _u7423)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7424), 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), _u7425), _u7424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7425), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7424), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7425), 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), _u7425), _u7424))) )).
% 12.21/12.45 cnf(matrix-3360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7426), _u7427)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7426), _u7427) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7429), 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), _u7428), _u7429)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7431), _u7432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7430), _u7432)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7430), _u7431))) )).
% 12.21/12.45 cnf(matrix-3363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7433)) | ~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), _u7433), _u7434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7434), _u7433)) )).
% 12.21/12.45 cnf(matrix-3364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7433)) | ~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), _u7433), _u7434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7434)) )).
% 12.21/12.45 cnf(matrix-3365, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7434), _u7433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7434)) | 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), _u7433), _u7434))) )).
% 12.21/12.45 cnf(matrix-3366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7435)) | ~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), _u7436), _u7435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7435), _u7436)) )).
% 12.21/12.45 cnf(matrix-3367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7435), _u7436)) | 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), _u7436), _u7435))) )).
% 12.21/12.45 cnf(matrix-3368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7437)) | ~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), _u7438), _u7437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7438)) )).
% 12.21/12.45 cnf(matrix-3369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7438)) | 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), _u7438), _u7437))) )).
% 12.21/12.45 cnf(matrix-3370, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = 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)), _u7441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3371, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = 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)), _u7441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7443), _u7441)) )).
% 12.21/12.45 cnf(matrix-3372, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7441), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3373, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7441), _u7443) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7443 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7441), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7443), _u7441)) )).
% 12.21/12.45 cnf(matrix-3374, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7442), _u7444) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7444 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3375, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7442), _u7444) = 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)), _u7442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7442), _u7444)) )).
% 12.21/12.45 cnf(matrix-3376, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7442), _u7444) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7442), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7444), _u7442)) )).
% 12.21/12.45 cnf(matrix-3377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7445), _u7446)), _u7445)) )).
% 12.21/12.45 cnf(matrix-3378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7447)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7447)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7448), _u7449)), _u7447)) )).
% 12.21/12.45 cnf(matrix-3379, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7451), _u7452)) | ~hBOOL(hAPP(hAPP(c_member(_u7451), _u7453), _u7452)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7451, _u7450), hAPP(hAPP(c_COMBC(_u7451, _u7450, _u7450), hAPP(hAPP(c_COMBS(_u7451, _u7450, tc_fun(_u7450, _u7450)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7450, tc_fun(_u7450, _u7450)), _u7451), c_If(_u7450)), hAPP(c_fequal, _u7453))), _u7454)), c_Groups_Oone__class_Oone(_u7450))), _u7452) = hAPP(_u7454, _u7453)) )).
% 12.21/12.45 cnf(matrix-3380, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7451), _u7452)) | hBOOL(hAPP(hAPP(c_member(_u7451), _u7453), _u7452)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7451, _u7450), hAPP(hAPP(c_COMBC(_u7451, _u7450, _u7450), hAPP(hAPP(c_COMBS(_u7451, _u7450, tc_fun(_u7450, _u7450)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7450, tc_fun(_u7450, _u7450)), _u7451), c_If(_u7450)), hAPP(c_fequal, _u7453))), _u7454)), c_Groups_Oone__class_Oone(_u7450))), _u7452) = c_Groups_Oone__class_Oone(_u7450)) )).
% 12.21/12.45 cnf(matrix-3381, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7456), _u7457)) | ~hBOOL(hAPP(hAPP(c_member(_u7456), _u7458), _u7457)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7456, _u7455), hAPP(hAPP(c_COMBC(_u7456, _u7455, _u7455), hAPP(hAPP(c_COMBS(_u7456, _u7455, tc_fun(_u7455, _u7455)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7455, tc_fun(_u7455, _u7455)), _u7456), c_If(_u7455)), hAPP(hAPP(c_COMBC(_u7456, _u7456, tc_HOL_Obool), c_fequal), _u7458))), _u7459)), c_Groups_Oone__class_Oone(_u7455))), _u7457) = hAPP(_u7459, _u7458)) )).
% 12.21/12.45 cnf(matrix-3382, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7456), _u7457)) | hBOOL(hAPP(hAPP(c_member(_u7456), _u7458), _u7457)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7456, _u7455), hAPP(hAPP(c_COMBC(_u7456, _u7455, _u7455), hAPP(hAPP(c_COMBS(_u7456, _u7455, tc_fun(_u7455, _u7455)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7455, tc_fun(_u7455, _u7455)), _u7456), c_If(_u7455)), hAPP(hAPP(c_COMBC(_u7456, _u7456, tc_HOL_Obool), c_fequal), _u7458))), _u7459)), c_Groups_Oone__class_Oone(_u7455))), _u7457) = c_Groups_Oone__class_Oone(_u7455)) )).
% 12.21/12.45 cnf(matrix-3383, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7460) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7461), _u7462)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7461, _u7460), hAPP(c_COMBK(_u7460, _u7461), _u7463)), _u7462) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7460), _u7463), hAPP(c_Finite__Set_Ocard(_u7461), _u7462))) )).
% 12.21/12.45 cnf(matrix-3384, plain, ( ~class_Divides_Osemiring__div(_u7464) | ( _u7465 = c_Groups_Ozero__class_Ozero(_u7464)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7464), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7464), _u7466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7464), _u7465), _u7467))), _u7465) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7464), _u7467), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7464), _u7466), _u7465))) )).
% 12.21/12.45 cnf(matrix-3385, plain, ( ~class_Divides_Osemiring__div(_u7468) | ( _u7469 = c_Groups_Ozero__class_Ozero(_u7468)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7468), _u7470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7468), _u7471), _u7469))), _u7469) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7468), _u7471), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7468), _u7470), _u7469))) )).
% 12.21/12.45 cnf(matrix-3386, plain, ( ~class_Divides_Osemiring__div(_u7472) | ( _u7473 = c_Groups_Ozero__class_Ozero(_u7472)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7472), _u7473), _u7474)), _u7473) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7472), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7472), _u7474), _u7473)), c_Groups_Oone__class_Oone(_u7472))) )).
% 12.21/12.45 cnf(matrix-3387, plain, ( ~class_Divides_Osemiring__div(_u7475) | ( _u7476 = c_Groups_Ozero__class_Ozero(_u7475)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7475), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), _u7477), _u7476)), _u7476) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7475), _u7477), _u7476)), c_Groups_Oone__class_Oone(_u7475))) )).
% 12.21/12.45 cnf(matrix-3388, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7479), _u7480)) | hBOOL(hAPP(hAPP(c_member(_u7479), _u7481), _u7480)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7479, _u7478), _u7482), hAPP(hAPP(c_Set_Oinsert(_u7479), _u7481), _u7480)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7478), hAPP(_u7482, _u7481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7479, _u7478), _u7482), _u7480))) )).
% 12.21/12.45 cnf(matrix-3389, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7483) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7484), _u7485)) | hBOOL(hAPP(hAPP(c_member(_u7484), _u7486), _u7485)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7484, _u7483), _u7487), hAPP(hAPP(c_Set_Oinsert(_u7484), _u7486), _u7485)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7483), hAPP(_u7487, _u7486)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7484, _u7483), _u7487), _u7485))) )).
% 12.21/12.45 cnf(matrix-3390, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7489), _u7490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7489), _u7491)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7488), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7489, tc_HOL_Obool)), _u7490), _u7491))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7489, tc_HOL_Obool)), _u7490), _u7491))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7488), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), _u7490)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), _u7491))) )).
% 12.21/12.45 cnf(matrix-3391, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7494), _u7495)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7494), _u7496)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7493), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7494, tc_HOL_Obool)), _u7495), _u7496))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7494, tc_HOL_Obool)), _u7495), _u7496))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7493), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), _u7495)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7494, _u7493), _u7497), _u7496))) )).
% 12.21/12.45 cnf(matrix-3392, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7498) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7499), _u7500)) | ~c_Fun_Oinj__on(_u7499, _u7499, _u7501, _u7500) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7499, _u7498), _u7502), hAPP(c_Set_Oimage(_u7499, _u7499, _u7501), _u7500)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7499, _u7498), hAPP(c_Fun_Ocomp(_u7499, _u7498, _u7499, _u7502), _u7501)), _u7500)) )).
% 12.21/12.45 cnf(matrix-3393, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7503) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7504), _u7505)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7504, _u7503), _u7506), _u7505) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7503, _u7504, c_Groups_Otimes__class_Otimes(_u7503)), _u7506), c_Groups_Oone__class_Oone(_u7503)), _u7505)) )).
% 12.21/12.45 cnf(matrix-3394, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7508), _u7509)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7508, _u7507), _u7510), _u7509) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7507, _u7508, c_Groups_Otimes__class_Otimes(_u7507)), _u7510), c_Groups_Oone__class_Oone(_u7507)), _u7509)) )).
% 12.21/12.45 cnf(matrix-3395, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7507) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7508), _u7509)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7508, _u7507), _u7510), _u7509) = c_Groups_Oone__class_Oone(_u7507)) )).
% 12.21/12.45 cnf(matrix-3396, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7512), _u7513)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7512, _u7511), _u7514), hAPP(hAPP(c_Set_Oinsert(_u7512), _u7515), _u7513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7511), hAPP(_u7514, _u7515)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7512, _u7511), _u7514), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7512, tc_HOL_Obool)), _u7513), hAPP(hAPP(c_Set_Oinsert(_u7512), _u7515), c_Orderings_Obot__class_Obot(tc_fun(_u7512, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-3397, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7516) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7517), _u7518)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7517), _u7519)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7517, tc_HOL_Obool)), _u7518), _u7519) != c_Orderings_Obot__class_Obot(tc_fun(_u7517, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7517, _u7516), _u7520), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7517, tc_HOL_Obool)), _u7518), _u7519)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7516), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7517, _u7516), _u7520), _u7518)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7517, _u7516), _u7520), _u7519))) )).
% 12.21/12.45 cnf(matrix-3398, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7522), _u7523)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7522), _u7524)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7522, tc_HOL_Obool)), _u7523), _u7524) != c_Orderings_Obot__class_Obot(tc_fun(_u7522, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7522, _u7521), _u7525), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7522, tc_HOL_Obool)), _u7523), _u7524)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7521), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7522, _u7521), _u7525), _u7523)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7522, _u7521), _u7525), _u7524))) )).
% 12.21/12.45 cnf(matrix-3399, plain, ( ~hBOOL(hAPP(_u7537, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7541))) | ( _u7541 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u7537, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3400, plain, ( ~hBOOL(hAPP(_u7537, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7526), _u7541)) | ( _u7539 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7541), _u7527)), _u7526)) | hBOOL(hAPP(_u7537, _u7527)) )).
% 12.21/12.45 cnf(matrix-3401, plain, ( ~hBOOL(hAPP(_u7537, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7539), _u7541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7541), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7541), _u7528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7528), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7539 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7541), _u7529)), _u7528)) | hBOOL(hAPP(_u7537, _u7529)) )).
% 12.21/12.45 cnf(matrix-3402, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3403, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3404, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3405, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3406, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3407, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3408, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3409, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3410, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3411, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3412, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3413, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3414, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3415, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3416, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3417, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3418, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3419, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3420, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3421, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3422, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3423, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3424, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3425, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3426, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3427, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3428, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3429, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3430, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3431, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ( _u7542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3432, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3433, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3434, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3435, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3436, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7542), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3437, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3438, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3439, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3440, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3441, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem126(_u7542, _u7540, _u7538)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3442, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3443, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3444, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3445, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3446, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem125(_u7542, _u7540, _u7538))), skolem126(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3447, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3448, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, 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)), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3449, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem124(_u7542, _u7540, _u7538)), _u7542)) )).
% 12.21/12.45 cnf(matrix-3450, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7540 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7542), skolem123(_u7542, _u7540, _u7538))), skolem124(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3451, plain, ( hBOOL(hAPP(_u7538, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7540), _u7542))) | ~hBOOL(hAPP(_u7538, skolem125(_u7542, _u7540, _u7538))) | ~hBOOL(hAPP(_u7538, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7538, skolem123(_u7542, _u7540, _u7538))) )).
% 12.21/12.45 cnf(matrix-3452, plain, ( ( _u7543 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7544), _u7545)), _u7546)) | ( _u7544 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7543), _u7544) = _u7545) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7544), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3453, plain, ( ( _u7543 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7544), _u7545)), _u7546)) | ( _u7544 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7543), _u7544) = _u7545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7546), _u7544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7544)) )).
% 12.21/12.45 cnf(matrix-3454, plain, ( ( _u7543 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7544), _u7545)), _u7546)) | ( _u7544 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7543), _u7544) = _u7545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7546), _u7544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7544), _u7546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7548)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u7547, _u7548))) )).
% 12.21/12.45 cnf(matrix-3456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7549), _u7550)) | ( c_Nat__Transfer_Otsub(_u7550, _u7549) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7550), _u7549)) )).
% 12.21/12.45 cnf(matrix-3457, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7552), _u7553)) | ~hBOOL(hAPP(hAPP(c_member(_u7552), _u7554), _u7553)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7552, _u7551), _u7555), _u7553) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7551), hAPP(_u7555, _u7554)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7552, _u7551), _u7555), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7552, tc_HOL_Obool)), _u7553), hAPP(hAPP(c_Set_Oinsert(_u7552), _u7554), c_Orderings_Obot__class_Obot(tc_fun(_u7552, tc_HOL_Obool))))))) )).
% 12.21/12.45 cnf(matrix-3458, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7556, _u7557), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7558), _u7559))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7556), _u7557), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7559), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7558)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7558)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u7559), 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), _u7557), _u7559))))) )).
% 12.21/12.45 cnf(matrix-3459, plain, ( ~c_Wellfounded_Omax__extp(_u7564, hAPP(hAPP(c_COMBC(_u7564, tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7564, tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool)), _u7564), c_COMBC(_u7564, tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7564, tc_prod(_u7564, _u7564)), tc_fun(_u7564, tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool)), _u7564), hAPP(c_COMBB(tc_prod(_u7564, _u7564), tc_fun(tc_fun(tc_prod(_u7564, _u7564), tc_HOL_Obool), tc_HOL_Obool), _u7564), c_member(tc_prod(_u7564, _u7564)))), c_Product__Type_OPair(_u7564, _u7564)))), _u7566), _u7568, _u7570) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7564, tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7564, tc_HOL_Obool), tc_fun(_u7564, tc_HOL_Obool)), _u7568), _u7570)), c_Wellfounded_Omax__ext(_u7564, _u7566))) )).
% 12.21/12.45 cnf(matrix-3460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7565, tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7565, tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool)), _u7569), _u7571)), c_Wellfounded_Omax__ext(_u7565, _u7567))) | c_Wellfounded_Omax__extp(_u7565, hAPP(hAPP(c_COMBC(_u7565, tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7565, tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_fun(_u7565, tc_HOL_Obool)), _u7565), c_COMBC(_u7565, tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7565, tc_prod(_u7565, _u7565)), tc_fun(_u7565, tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool)), _u7565), hAPP(c_COMBB(tc_prod(_u7565, _u7565), tc_fun(tc_fun(tc_prod(_u7565, _u7565), tc_HOL_Obool), tc_HOL_Obool), _u7565), c_member(tc_prod(_u7565, _u7565)))), c_Product__Type_OPair(_u7565, _u7565)))), _u7567), _u7569, _u7571) )).
% 12.21/12.45 cnf(matrix-3461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7574)) | ( c_SMT_Oz3div(_u7576, _u7574) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7576), _u7574)) )).
% 12.21/12.45 cnf(matrix-3462, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7575)) | ( c_SMT_Oz3div(_u7577, _u7575) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7577), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7575)))) )).
% 12.21/12.45 cnf(matrix-3463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7580), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7582, _u7580) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7582), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7580))) )).
% 12.21/12.45 cnf(matrix-3464, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7581), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7583, _u7581) = 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))) | ( _u7583 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3465, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7581), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7583, _u7581) = 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))) | ( _u7581 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3466, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7581), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7583 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7581 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u7583, _u7581) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u7583), _u7581)), 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), _u7583))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7581)))) )).
% 12.21/12.45 cnf(matrix-3467, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7585) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7587)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7588)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7586, tc_HOL_Obool)), _u7587), _u7588)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7585), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7587)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7588))) | hBOOL(hAPP(hAPP(c_member(_u7586), skolem127(_u7589, _u7588, _u7587, _u7586, _u7585)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7586, tc_HOL_Obool)), _u7587), _u7588))) )).
% 12.21/12.45 cnf(matrix-3468, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7585) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7587)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7586), _u7588)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7586, tc_HOL_Obool)), _u7587), _u7588)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7585), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7587)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7586, _u7585), _u7589), _u7588))) | ( hAPP(_u7589, skolem127(_u7589, _u7588, _u7587, _u7586, _u7585)) != c_Groups_Oone__class_Oone(_u7585)) )).
% 12.21/12.45 cnf(matrix-3469, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7593)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7592, tc_HOL_Obool)), _u7593), _u7594)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7591), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7593)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7594))) | hBOOL(hAPP(hAPP(c_member(_u7592), skolem128(_u7595, _u7594, _u7593, _u7592, _u7591)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7592, tc_HOL_Obool)), _u7593), _u7594))) )).
% 12.21/12.45 cnf(matrix-3470, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7593)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7592), _u7594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7592, tc_HOL_Obool)), _u7593), _u7594)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7591), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7593)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7592, _u7591), _u7595), _u7594))) | ( hAPP(_u7595, skolem128(_u7595, _u7594, _u7593, _u7592, _u7591)) != c_Groups_Oone__class_Oone(_u7591)) )).
% 12.21/12.45 cnf(matrix-3471, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7596, _u7597), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7598), _u7599))) | ( _u7597 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7600)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7596, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7597), _u7600)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7598), _u7600)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7597), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7598, _u7600))), _u7599)))) )).
% 12.21/12.45 cnf(matrix-3472, plain, ( ~class_Divides_Osemiring__div(_u7601) | ( c_Divides_Odiv__class_Omod(_u7601, _u7602, _u7603) != c_Divides_Odiv__class_Omod(_u7601, _u7604, _u7603)) | ( c_Divides_Odiv__class_Omod(_u7601, _u7605, _u7603) != c_Divides_Odiv__class_Omod(_u7601, _u7606, _u7603)) | ( c_Divides_Odiv__class_Omod(_u7601, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7601), _u7602), _u7605), _u7603) = c_Divides_Odiv__class_Omod(_u7601, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7601), _u7604), _u7606), _u7603)) )).
% 12.21/12.45 cnf(matrix-3473, plain, ( ~class_Divides_Osemiring__div(_u7607) | ( c_Divides_Odiv__class_Omod(_u7607, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), c_Divides_Odiv__class_Omod(_u7607, _u7608, _u7609)), _u7610), _u7609) = c_Divides_Odiv__class_Omod(_u7607, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7607), _u7608), _u7610), _u7609)) )).
% 12.21/12.45 cnf(matrix-3474, plain, ( ~class_Divides_Osemiring__div(_u7611) | ( c_Divides_Odiv__class_Omod(_u7611, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7612), c_Divides_Odiv__class_Omod(_u7611, _u7613, _u7614)), _u7614) = c_Divides_Odiv__class_Omod(_u7611, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7611), _u7612), _u7613), _u7614)) )).
% 12.21/12.45 cnf(matrix-3475, plain, ( ~class_Divides_Osemiring__div(_u7615) | ( c_Divides_Odiv__class_Omod(_u7615, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), _u7616), _u7617), _u7618) = c_Divides_Odiv__class_Omod(_u7615, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), c_Divides_Odiv__class_Omod(_u7615, _u7616, _u7618)), c_Divides_Odiv__class_Omod(_u7615, _u7617, _u7618)), _u7618)) )).
% 12.21/12.45 cnf(matrix-3476, plain, ( ~class_Divides_Osemiring__div(_u7619) | ( c_Divides_Odiv__class_Omod(_u7619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7619), _u7620), _u7621), _u7622) = c_Divides_Odiv__class_Omod(_u7619, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7619), c_Divides_Odiv__class_Omod(_u7619, _u7620, _u7622)), _u7621), _u7622)) )).
% 12.21/12.45 cnf(matrix-3477, plain, ( ~class_Divides_Osemiring__div(_u7623) | ( c_Divides_Odiv__class_Omod(_u7623, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7623), _u7624), _u7625), _u7626) = c_Divides_Odiv__class_Omod(_u7623, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7623), _u7624), c_Divides_Odiv__class_Omod(_u7623, _u7625, _u7626)), _u7626)) )).
% 12.21/12.45 cnf(matrix-3478, plain, ( ~class_Divides_Osemiring__div(_u7627) | ( c_Divides_Odiv__class_Omod(_u7627, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7627), _u7628), _u7629), _u7628) = c_Divides_Odiv__class_Omod(_u7627, _u7629, _u7628)) )).
% 12.21/12.45 cnf(matrix-3479, plain, ( ~class_Divides_Osemiring__div(_u7630) | ( c_Divides_Odiv__class_Omod(_u7630, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7630), _u7631), _u7632), _u7632) = c_Divides_Odiv__class_Omod(_u7630, _u7631, _u7632)) )).
% 12.21/12.45 cnf(matrix-3480, plain, ( ~class_Divides_Osemiring__div(_u7633) | ( c_Divides_Odiv__class_Omod(_u7633, _u7634, _u7635) != c_Divides_Odiv__class_Omod(_u7633, _u7636, _u7635)) | ( c_Divides_Odiv__class_Omod(_u7633, _u7637, _u7635) != c_Divides_Odiv__class_Omod(_u7633, _u7638, _u7635)) | ( c_Divides_Odiv__class_Omod(_u7633, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7633), _u7634), _u7637), _u7635) = c_Divides_Odiv__class_Omod(_u7633, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7633), _u7636), _u7638), _u7635)) )).
% 12.21/12.45 cnf(matrix-3481, plain, ( ~class_Divides_Osemiring__div(_u7639) | ( c_Divides_Odiv__class_Omod(_u7639, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7639), c_Divides_Odiv__class_Omod(_u7639, _u7640, _u7641)), _u7642), _u7641) = c_Divides_Odiv__class_Omod(_u7639, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7639), _u7640), _u7642), _u7641)) )).
% 12.21/12.45 cnf(matrix-3482, plain, ( ~class_Divides_Osemiring__div(_u7643) | ( c_Divides_Odiv__class_Omod(_u7643, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7643), _u7644), _u7645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7643), _u7646), _u7645)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7643), c_Divides_Odiv__class_Omod(_u7643, _u7644, _u7646)), _u7645)) )).
% 12.21/12.45 cnf(matrix-3483, plain, ( ~class_Divides_Osemiring__div(_u7647) | ( c_Divides_Odiv__class_Omod(_u7647, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7647), _u7648), _u7649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7647), _u7648), _u7650)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7647), _u7648), c_Divides_Odiv__class_Omod(_u7647, _u7649, _u7650))) )).
% 12.21/12.45 cnf(matrix-3484, plain, ( ~class_Divides_Osemiring__div(_u7651) | ( c_Divides_Odiv__class_Omod(_u7651, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7651), _u7652), _u7653), _u7654) = c_Divides_Odiv__class_Omod(_u7651, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7651), c_Divides_Odiv__class_Omod(_u7651, _u7652, _u7654)), c_Divides_Odiv__class_Omod(_u7651, _u7653, _u7654)), _u7654)) )).
% 12.21/12.45 cnf(matrix-3485, plain, ( ~class_Divides_Osemiring__div(_u7655) | ( c_Divides_Odiv__class_Omod(_u7655, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), _u7656), _u7657), _u7658) = c_Divides_Odiv__class_Omod(_u7655, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7655), c_Divides_Odiv__class_Omod(_u7655, _u7656, _u7658)), _u7657), _u7658)) )).
% 12.21/12.45 cnf(matrix-3486, plain, ( ~class_Divides_Osemiring__div(_u7659) | ( c_Divides_Odiv__class_Omod(_u7659, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7659), _u7660), _u7661), _u7662) = c_Divides_Odiv__class_Omod(_u7659, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7659), _u7660), c_Divides_Odiv__class_Omod(_u7659, _u7661, _u7662)), _u7662)) )).
% 12.21/12.45 cnf(matrix-3487, plain, ( ~class_Divides_Osemiring__div(_u7663) | ( c_Divides_Odiv__class_Omod(_u7663, _u7664, _u7664) = c_Groups_Ozero__class_Ozero(_u7663)) )).
% 12.21/12.45 cnf(matrix-3488, plain, ( ~class_Divides_Osemiring__div(_u7665) | ( c_Divides_Odiv__class_Omod(_u7665, _u7666, c_Groups_Ozero__class_Ozero(_u7665)) = _u7666) )).
% 12.21/12.45 cnf(matrix-3489, plain, ( ~class_Divides_Osemiring__div(_u7667) | ( c_Divides_Odiv__class_Omod(_u7667, c_Groups_Ozero__class_Ozero(_u7667), _u7668) = c_Groups_Ozero__class_Ozero(_u7667)) )).
% 12.21/12.45 cnf(matrix-3490, plain, ( ~class_Divides_Osemiring__div(_u7669) | ( c_Divides_Odiv__class_Omod(_u7669, c_Divides_Odiv__class_Omod(_u7669, _u7670, _u7671), _u7671) = c_Divides_Odiv__class_Omod(_u7669, _u7670, _u7671)) )).
% 12.21/12.45 cnf(matrix-3491, plain, ( ~class_Divides_Oring__div(_u7672) | ( c_Divides_Odiv__class_Omod(_u7672, _u7673, _u7674) != c_Divides_Odiv__class_Omod(_u7672, _u7675, _u7674)) | ( c_Divides_Odiv__class_Omod(_u7672, _u7676, _u7674) != c_Divides_Odiv__class_Omod(_u7672, _u7677, _u7674)) | ( c_Divides_Odiv__class_Omod(_u7672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7672), _u7673), _u7676), _u7674) = c_Divides_Odiv__class_Omod(_u7672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7672), _u7675), _u7677), _u7674)) )).
% 12.21/12.45 cnf(matrix-3492, plain, ( ~class_Divides_Oring__div(_u7678) | ( c_Divides_Odiv__class_Omod(_u7678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7678), _u7679), _u7680), _u7681) = c_Divides_Odiv__class_Omod(_u7678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7678), c_Divides_Odiv__class_Omod(_u7678, _u7679, _u7681)), c_Divides_Odiv__class_Omod(_u7678, _u7680, _u7681)), _u7681)) )).
% 12.21/12.45 cnf(matrix-3493, plain, ( ~class_Divides_Oring__div(_u7682) | ( c_Divides_Odiv__class_Omod(_u7682, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7682), _u7683), _u7684), _u7685) = c_Divides_Odiv__class_Omod(_u7682, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7682), c_Divides_Odiv__class_Omod(_u7682, _u7683, _u7685)), _u7684), _u7685)) )).
% 12.21/12.45 cnf(matrix-3494, plain, ( ~class_Divides_Oring__div(_u7686) | ( c_Divides_Odiv__class_Omod(_u7686, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7686), _u7687), _u7688), _u7689) = c_Divides_Odiv__class_Omod(_u7686, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7686), _u7687), c_Divides_Odiv__class_Omod(_u7686, _u7688, _u7689)), _u7689)) )).
% 12.21/12.45 cnf(matrix-3495, plain, ( ~class_Divides_Oring__div(_u7690) | ( c_Divides_Odiv__class_Omod(_u7690, hAPP(c_Groups_Ouminus__class_Ouminus(_u7690), _u7691), _u7692) = c_Divides_Odiv__class_Omod(_u7690, hAPP(c_Groups_Ouminus__class_Ouminus(_u7690), c_Divides_Odiv__class_Omod(_u7690, _u7691, _u7692)), _u7692)) )).
% 12.21/12.45 cnf(matrix-3496, plain, ( ~class_Divides_Oring__div(_u7693) | ( c_Divides_Odiv__class_Omod(_u7693, _u7694, _u7695) != c_Divides_Odiv__class_Omod(_u7693, _u7696, _u7695)) | ( c_Divides_Odiv__class_Omod(_u7693, hAPP(c_Groups_Ouminus__class_Ouminus(_u7693), _u7694), _u7695) = c_Divides_Odiv__class_Omod(_u7693, hAPP(c_Groups_Ouminus__class_Ouminus(_u7693), _u7696), _u7695)) )).
% 12.21/12.45 cnf(matrix-3497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7697), _u7698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7697), _u7699)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7698), _u7699))) )).
% 12.21/12.45 cnf(matrix-3498, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7700), _u7701)), _u7700)) )).
% 12.21/12.45 cnf(matrix-3499, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7703), _u7704)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7702), _u7703)), _u7704)) )).
% 12.21/12.45 cnf(matrix-3500, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7705) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3501, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7706, _u7706) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3502, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7707), _u7708), _u7709) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7707), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7708, _u7709)), _u7709)) )).
% 12.21/12.45 cnf(matrix-3503, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7710), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7711, _u7712)), _u7712) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7710), _u7711), _u7712)) )).
% 12.21/12.45 cnf(matrix-3504, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7713), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7714, _u7715)), _u7715) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7713), _u7714), _u7715)) )).
% 12.21/12.45 cnf(matrix-3505, 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, _u7716, _u7717)), _u7718), _u7717) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7716), _u7718), _u7717)) )).
% 12.21/12.45 cnf(matrix-3506, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7719, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7720)) = 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), _u7719), _u7720))) )).
% 12.21/12.45 cnf(matrix-3507, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7721), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7722)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7721, _u7722))) )).
% 12.21/12.45 cnf(matrix-3508, 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, _u7723, _u7724)), _u7724) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7723), _u7724)) )).
% 12.21/12.45 cnf(matrix-3509, 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, _u7725, _u7726)), _u7727), _u7726) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7725), _u7727), _u7726)) )).
% 12.21/12.45 cnf(matrix-3510, plain, ( ~class_Divides_Osemiring__div(_u7728) | ( c_Divides_Odiv__class_Omod(_u7728, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7728), _u7729), _u7730), _u7729) = c_Groups_Ozero__class_Ozero(_u7728)) )).
% 12.21/12.45 cnf(matrix-3511, plain, ( ~class_Divides_Osemiring__div(_u7731) | ( c_Divides_Odiv__class_Omod(_u7731, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7731), _u7732), _u7733), _u7733) = c_Groups_Ozero__class_Ozero(_u7731)) )).
% 12.21/12.45 cnf(matrix-3512, plain, ( ~class_Divides_Osemiring__div(_u7734) | ( c_Divides_Odiv__class_Omod(_u7734, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7734), _u7735), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7734), _u7736), _u7737)), _u7737) = c_Divides_Odiv__class_Omod(_u7734, _u7735, _u7737)) )).
% 12.21/12.45 cnf(matrix-3513, plain, ( ~class_Divides_Osemiring__div(_u7738) | ( c_Divides_Odiv__class_Omod(_u7738, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7738), _u7739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7738), _u7740), _u7741)), _u7740) = c_Divides_Odiv__class_Omod(_u7738, _u7739, _u7740)) )).
% 12.21/12.45 cnf(matrix-3514, plain, ( ~class_Divides_Osemiring__div(_u7742) | ( c_Divides_Odiv__class_Omod(_u7742, _u7743, c_Groups_Oone__class_Oone(_u7742)) = c_Groups_Ozero__class_Ozero(_u7742)) )).
% 12.21/12.45 cnf(matrix-3515, plain, ( ~class_Divides_Osemiring__div(_u7744) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7744), c_Divides_Odiv__class_Omod(_u7744, _u7745, _u7746)), _u7746) = c_Groups_Ozero__class_Ozero(_u7744)) )).
% 12.21/12.45 cnf(matrix-3516, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7747), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u7747) )).
% 12.21/12.45 cnf(matrix-3517, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7748), _u7749)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7748), _u7749) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3518, plain, ( ( _u7753 != 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), _u7753), _u7755)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7753), _u7757)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3519, plain, ( ( _u7754 = 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), _u7754), _u7756)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7754), _u7758)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7756), _u7758)) )).
% 12.21/12.45 cnf(matrix-3520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7759, _u7760)), _u7759)) )).
% 12.21/12.45 cnf(matrix-3521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7762)) | 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, _u7761, _u7762))) )).
% 12.21/12.45 cnf(matrix-3522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7764, _u7763)), _u7763)) )).
% 12.21/12.45 cnf(matrix-3523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7765), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7765), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7766, _u7765))) )).
% 12.21/12.45 cnf(matrix-3524, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7771, _u7773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7771 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7773), skolem129(_u7773, _u7771))) )).
% 12.21/12.45 cnf(matrix-3525, plain, ( ( _u7772 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7774), _u7768)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7772, _u7774) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3526, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7775), _u7776) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7775, _u7776) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3527, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7777, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7778)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7777, _u7778) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3528, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7779, _u7780)), _u7780) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3529, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7782), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3530, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7783, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u7783) )).
% 12.21/12.45 cnf(matrix-3531, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7784), _u7785)), _u7786) = 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), _u7784), _u7786)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7785), _u7786))), 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, _u7784, _u7786)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7785, _u7786))), _u7786))) )).
% 12.21/12.45 cnf(matrix-3532, plain, ( ~class_Divides_Osemiring__div(_u7787) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7787), c_Divides_Odiv__class_Omod(_u7787, _u7788, _u7789)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7787), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7787), _u7788), _u7789)), _u7789)) = _u7788) )).
% 12.21/12.45 cnf(matrix-3533, plain, ( ~class_Divides_Osemiring__div(_u7790) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7790), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7790), _u7791), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7790), _u7792), _u7791))), c_Divides_Odiv__class_Omod(_u7790, _u7792, _u7791)) = _u7792) )).
% 12.21/12.45 cnf(matrix-3534, plain, ( ~class_Divides_Osemiring__div(_u7793) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7793), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7793), _u7794), _u7795)), _u7795)), c_Divides_Odiv__class_Omod(_u7793, _u7794, _u7795)) = _u7794) )).
% 12.21/12.45 cnf(matrix-3535, plain, ( ~class_Divides_Osemiring__div(_u7796) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7796), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7796), _u7797), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7796), _u7798), _u7797))), c_Divides_Odiv__class_Omod(_u7796, _u7798, _u7797))), _u7799) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7796), _u7798), _u7799)) )).
% 12.21/12.45 cnf(matrix-3536, plain, ( ~class_Divides_Osemiring__div(_u7800) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7800), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7800), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7800), _u7801), _u7802)), _u7802)), c_Divides_Odiv__class_Omod(_u7800, _u7801, _u7802))), _u7803) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7800), _u7801), _u7803)) )).
% 12.21/12.45 cnf(matrix-3537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7804), _u7805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7806), _u7805)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7806), _u7804))) )).
% 12.21/12.45 cnf(matrix-3538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7807)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7807), _u7808)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7807), _u7809)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7808), _u7809)) )).
% 12.21/12.45 cnf(matrix-3539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7810)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7811), _u7810)), _u7810) = _u7811) )).
% 12.21/12.45 cnf(matrix-3540, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7812)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7812), _u7813)), _u7812) = _u7813) )).
% 12.21/12.45 cnf(matrix-3541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7814)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7815), _u7814)), _u7815)) )).
% 12.21/12.45 cnf(matrix-3542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7816)) | 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, _u7817, _u7816))) )).
% 12.21/12.45 cnf(matrix-3543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7818)) | 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, _u7819, _u7818))) )).
% 12.21/12.45 cnf(matrix-3544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7819, _u7818)), _u7818)) )).
% 12.21/12.45 cnf(matrix-3545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7820), _u7821)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7820, _u7821) = _u7820) )).
% 12.21/12.45 cnf(matrix-3546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7822), 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, _u7823, _u7822)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), 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, _u7825, _u7824)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7825, _u7824))) )).
% 12.21/12.45 cnf(matrix-3549, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7826), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7827), _u7826)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7826, _u7827) = _u7826) )).
% 12.21/12.45 cnf(matrix-3550, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7830, _u7832) != 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), _u7830), _u7832) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3551, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7831, _u7833) = 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), _u7831), _u7833) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7833), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7831, _u7833))) )).
% 12.21/12.45 cnf(matrix-3552, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7836, _u7838) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7836, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7838)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3553, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7837, _u7839) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7837, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7839)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7837, _u7839)), _u7839)) )).
% 12.21/12.45 cnf(matrix-3554, plain, ( ( _u7840 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7841), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7840), _u7841))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7840, _u7841))) )).
% 12.21/12.45 cnf(matrix-3555, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7842), _u7843)), _u7844) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7842), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7843), _u7844))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7842), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7843, _u7844))), _u7844))) )).
% 12.21/12.45 cnf(matrix-3556, 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), _u7845), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7846), _u7845))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7846, _u7845))), _u7847) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7846), _u7847)) )).
% 12.21/12.45 cnf(matrix-3557, 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), _u7848), _u7849)), _u7849)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7848, _u7849))), _u7850) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7848), _u7850)) )).
% 12.21/12.45 cnf(matrix-3558, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7851, _u7852) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7851), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7851), _u7852)), _u7852))) )).
% 12.21/12.45 cnf(matrix-3559, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7853), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7854), _u7853)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7854), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7854, _u7853))) )).
% 12.21/12.45 cnf(matrix-3560, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7855, _u7856), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7857), _u7858))) | ( _u7856 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7855, _u7856) = _u7858) )).
% 12.21/12.45 cnf(matrix-3561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7860), _u7859)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7860), _u7859) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7860), _u7859)), _u7859))) )).
% 12.21/12.45 cnf(matrix-3562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7862), _u7861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7862), _u7861) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7862), _u7861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7862), _u7861) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7862), _u7861)), _u7861))) )).
% 12.21/12.45 cnf(matrix-3564, plain, ( ~hBOOL(hAPP(_u7870, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7872), _u7874))) | ( _u7874 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7870, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3565, plain, ( ~hBOOL(hAPP(_u7870, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7872), _u7874))) | ( _u7874 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7863), _u7874)) | ( _u7872 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7874), _u7864)), _u7863)) | hBOOL(hAPP(_u7870, _u7864)) )).
% 12.21/12.45 cnf(matrix-3566, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ( _u7875 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem131(_u7875, _u7873, _u7871)), _u7875)) )).
% 12.21/12.45 cnf(matrix-3567, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ( _u7875 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7873 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7875), skolem130(_u7875, _u7873, _u7871))), skolem131(_u7875, _u7873, _u7871))) )).
% 12.21/12.45 cnf(matrix-3568, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ( _u7875 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7871, skolem130(_u7875, _u7873, _u7871))) )).
% 12.21/12.45 cnf(matrix-3569, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7875 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3570, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem131(_u7875, _u7873, _u7871)), _u7875)) )).
% 12.21/12.45 cnf(matrix-3571, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7873 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7875), skolem130(_u7875, _u7873, _u7871))), skolem131(_u7875, _u7873, _u7871))) )).
% 12.21/12.45 cnf(matrix-3572, plain, ( hBOOL(hAPP(_u7871, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7873), _u7875))) | ~hBOOL(hAPP(_u7871, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7871, skolem130(_u7875, _u7873, _u7871))) )).
% 12.21/12.45 cnf(matrix-3573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7876), _u7877)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7876, _u7877) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7876), _u7877)) )).
% 12.21/12.45 cnf(matrix-3574, plain, ( ( _u7878 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7879, _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7879), _u7878)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7879, _u7878)))) )).
% 12.21/12.45 cnf(matrix-3575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7880)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7880), _u7881)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7881), _u7880) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7881), _u7880)), _u7880))) )).
% 12.21/12.45 cnf(matrix-3576, plain, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | ( _u7891 = 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), _u7891), skolem132(_u7891, _u7889, _u7887))), _u7889)) )).
% 12.21/12.45 cnf(matrix-3577, plain, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | ( _u7891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7891), hAPP(c_Nat_OSuc, skolem132(_u7891, _u7889, _u7887))))) )).
% 12.21/12.45 cnf(matrix-3578, plain, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | ( _u7891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7887, skolem132(_u7891, _u7889, _u7887))) )).
% 12.21/12.45 cnf(matrix-3579, plain, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | hBOOL(hAPP(_u7887, 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), _u7891), skolem132(_u7891, _u7889, _u7887))), _u7889)) )).
% 12.21/12.45 cnf(matrix-3580, plain, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | hBOOL(hAPP(_u7887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7891), hAPP(c_Nat_OSuc, skolem132(_u7891, _u7889, _u7887))))) )).
% 12.21/12.45 cnf(matrix-3581, plain, ( ~hBOOL(hAPP(_u7887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7889), _u7891))) | hBOOL(hAPP(_u7887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7887, skolem132(_u7891, _u7889, _u7887))) )).
% 12.21/12.45 cnf(matrix-3582, plain, ( hBOOL(hAPP(_u7888, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7890), _u7892))) | ( _u7892 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7888, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3583, plain, ( hBOOL(hAPP(_u7888, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7890), _u7892))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7892), _u7883)), _u7890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7890), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7892), hAPP(c_Nat_OSuc, _u7883)))) | ~hBOOL(hAPP(_u7888, _u7883)) )).
% 12.21/12.45 cnf(matrix-3584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), _u7894)), _u7895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), hAPP(c_Nat_OSuc, _u7894)))) | ( _u7894 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7895), _u7893)) )).
% 12.21/12.45 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7893)) | ( _u7894 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7895), _u7893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), _u7894)), _u7895)) )).
% 12.21/12.45 cnf(matrix-3586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7893)) | ( _u7894 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7895), _u7893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7893), hAPP(c_Nat_OSuc, _u7894)))) )).
% 12.21/12.45 cnf(matrix-3587, plain, ( ( _u7896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7897), _u7898)), _u7899)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7896, _u7897) = _u7899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7897), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7899), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3588, plain, ( ( _u7896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7897), _u7898)), _u7899)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7896, _u7897) = _u7899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7899), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7897)) )).
% 12.21/12.45 cnf(matrix-3589, plain, ( ( _u7896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7897), _u7898)), _u7899)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7896, _u7897) = _u7899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7899), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7897), _u7899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7899), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7901), _u7902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7902), 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), _u7901), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7903, _u7900))), _u7902)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7905), _u7906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7906), 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), _u7905), _u7904)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7905), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7907, _u7904))), _u7906))) )).
% 12.21/12.45 cnf(matrix-3592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7909), _u7910)) | 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), _u7910), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7911, _u7908))), _u7909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7910), _u7908))) )).
% 12.21/12.45 cnf(matrix-3593, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7913), _u7914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7914), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7915, _u7912))), _u7913))) )).
% 12.21/12.45 cnf(matrix-3594, plain, ( ~hBOOL(hAPP(_u7927, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7929, _u7931))) | ( _u7931 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u7927, _u7929)) )).
% 12.21/12.45 cnf(matrix-3595, plain, ( ~hBOOL(hAPP(_u7927, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7929, _u7931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7916), _u7931)) | ( _u7929 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7931), _u7917)), _u7916)) | hBOOL(hAPP(_u7927, _u7916)) )).
% 12.21/12.45 cnf(matrix-3596, plain, ( ~hBOOL(hAPP(_u7927, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7929, _u7931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7931), _u7918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7929 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7931), _u7919)), _u7918)) | hBOOL(hAPP(_u7927, _u7918)) )).
% 12.21/12.45 cnf(matrix-3597, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3598, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3599, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3600, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3601, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3602, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3603, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3604, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3605, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3606, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3607, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3608, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3609, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3610, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3611, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3612, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3613, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3614, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3615, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3616, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3617, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3618, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3619, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3620, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3621, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3622, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3623, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = 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)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3624, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3625, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3626, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ( _u7932 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3627, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3628, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3629, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3630, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3631, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7932), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3632, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3633, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3634, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3635, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3636, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem136(_u7932, _u7930, _u7928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3637, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3638, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3639, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3640, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3641, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem135(_u7932, _u7930, _u7928))), skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3642, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3643, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3644, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem134(_u7932, _u7930, _u7928)), _u7932)) )).
% 12.21/12.45 cnf(matrix-3645, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ( _u7930 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7932), skolem133(_u7932, _u7930, _u7928))), skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3646, plain, ( hBOOL(hAPP(_u7928, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7930, _u7932))) | ~hBOOL(hAPP(_u7928, skolem136(_u7932, _u7930, _u7928))) | ~hBOOL(hAPP(_u7928, _u7930)) | ~hBOOL(hAPP(_u7928, skolem134(_u7932, _u7930, _u7928))) )).
% 12.21/12.45 cnf(matrix-3647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7933)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7934, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7935), _u7933)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7935), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7934), _u7935), _u7933))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7934, _u7935))) )).
% 12.21/12.45 cnf(matrix-3648, plain, ( ( _u7936 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7937, _u7936) != 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), _u7937)), _u7936) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7937), _u7936))) )).
% 12.21/12.45 cnf(matrix-3649, plain, ( ( _u7936 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7937, _u7936) = 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), _u7937)), _u7936) = 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), _u7937), _u7936))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3650, plain, ( ( _u7938 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7939, _u7938) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7939), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7938)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7939), _u7938))) )).
% 12.21/12.45 cnf(matrix-3651, plain, ( ( _u7938 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7939, _u7938) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7939), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7938)) = 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), _u7939), _u7938))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3652, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7940, _u7941), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7942), _u7943))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7944, _u7941), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7945), _u7946))) | ( _u7941 = 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), _u7940), _u7944), _u7941), 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), _u7942), _u7945)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7943), _u7946)), _u7941))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7943), _u7946), _u7941)))) )).
% 12.21/12.45 cnf(matrix-3653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), _u7947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7947), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7953 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7951), _u7948)), _u7947)) | hBOOL(hAPP(hAPP(_u7952, _u7948), _u7947)) )).
% 12.21/12.45 cnf(matrix-3654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), skolem138(_u7953, _u7952, _u7951))) )).
% 12.21/12.45 cnf(matrix-3655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem138(_u7953, _u7952, _u7951)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | ( _u7953 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7951), skolem137(_u7953, _u7952, _u7951))), skolem138(_u7953, _u7952, _u7951))) )).
% 12.21/12.45 cnf(matrix-3657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u7952, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7953), _u7951)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7953, _u7951))) | ~hBOOL(hAPP(hAPP(_u7952, skolem137(_u7953, _u7952, _u7951)), skolem138(_u7953, _u7952, _u7951))) )).
% 12.21/12.45 cnf(matrix-3658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7958)) | ~hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7954), _u7958)) | ( _u7960 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7958), _u7955)), _u7954)) | hBOOL(hAPP(hAPP(_u7959, _u7955), _u7954)) )).
% 12.21/12.45 cnf(matrix-3659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem140(_u7960, _u7959, _u7958))) )).
% 12.21/12.45 cnf(matrix-3660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem140(_u7960, _u7959, _u7958)), _u7958)) )).
% 12.21/12.45 cnf(matrix-3661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | ( _u7960 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7958), skolem139(_u7960, _u7959, _u7958))), skolem140(_u7960, _u7959, _u7958))) )).
% 12.21/12.45 cnf(matrix-3662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7958)) | hBOOL(hAPP(hAPP(_u7959, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7960), _u7958)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7960, _u7958))) | ~hBOOL(hAPP(hAPP(_u7959, skolem139(_u7960, _u7959, _u7958)), skolem140(_u7960, _u7959, _u7958))) )).
% 12.21/12.45 cnf(matrix-3663, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u7961, _u7962), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7963), _u7964))) | ( _u7962 = 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), _u7965), _u7961), _u7962), 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), _u7965), _u7963)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7965), _u7964)), _u7962))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7965), _u7964), _u7962)))) )).
% 12.21/12.45 cnf(matrix-3664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7968)) | ( c_SMT_Oz3mod(_u7970, _u7968) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7970, _u7968)) )).
% 12.21/12.45 cnf(matrix-3665, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7969)) | ( c_SMT_Oz3mod(_u7971, _u7969) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7971, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7969))) )).
% 12.21/12.45 cnf(matrix-3666, 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), _u7972), _u7973))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7972), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7973))) )).
% 12.21/12.45 cnf(matrix-3667, 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), _u7972), _u7973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = 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))) | ( _u7972 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3668, 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), _u7972), _u7973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = 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))) | ( _u7973 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3669, 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), _u7972), _u7973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7973), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7972 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7973 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u7972, _u7973) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u7972), _u7973)), 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), _u7972))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7973)))) )).
% 12.21/12.45 cnf(matrix-3670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7974), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7975)) | ( c_Divides_OnegDivAlg(_u7974, _u7975) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7974), _u7975)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7974, _u7975))) )).
% 12.21/12.45 cnf(matrix-3671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7977)) | ( c_Divides_OposDivAlg(_u7976, _u7977) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7976), _u7977)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7976, _u7977))) )).
% 12.21/12.45 cnf(matrix-3672, plain, ( ( c_Divides_Odivmod__int(_u7978, _u7979) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7978), _u7979)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7978, _u7979))) )).
% 12.21/12.45 cnf(matrix-3673, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7980, _u7981), _u7982)) | ~hBOOL(hAPP(hAPP(_u7981, _u7983), _u7982)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7980, _u7981), _u7983)) )).
% 12.21/12.45 cnf(matrix-3674, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7989, _u7991), _u7993)) | ~hBOOL(hAPP(hAPP(_u7991, _u7984), _u7993)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7989, _u7991), _u7984)) )).
% 12.21/12.45 cnf(matrix-3675, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7990, _u7992), _u7994)) | hBOOL(hAPP(hAPP(_u7992, skolem141(_u7994, _u7992, _u7990)), _u7994)) )).
% 12.21/12.45 cnf(matrix-3676, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7990, _u7992), _u7994)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7990, _u7992), skolem141(_u7994, _u7992, _u7990))) )).
% 12.21/12.45 cnf(matrix-3677, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8000, _u8002), _u8004)) | ~hBOOL(hAPP(hAPP(_u8002, _u7995), _u8004)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8000, _u8002), _u7995)) )).
% 12.21/12.45 cnf(matrix-3678, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8001, _u8003), _u8005)) | hBOOL(hAPP(hAPP(_u8003, skolem142(_u8005, _u8003, _u8001)), _u8005)) )).
% 12.21/12.45 cnf(matrix-3679, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8001, _u8003), _u8005)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8001, _u8003), skolem142(_u8005, _u8003, _u8001))) )).
% 12.21/12.45 cnf(matrix-3680, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8006), _u8007) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8006, _u8007)), _u8007)) )).
% 12.21/12.45 cnf(matrix-3681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8008), _u8009)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8008, _u8009) = _u8008) )).
% 12.21/12.45 cnf(matrix-3682, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8010), _u8011)), _u8012) = 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), _u8010), _u8012)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8011), _u8012))), 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, _u8010, _u8012)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8011, _u8012))), _u8012))) )).
% 12.21/12.45 cnf(matrix-3683, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8013, _u8014)), _u8013)) )).
% 12.21/12.45 cnf(matrix-3684, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8015, _u8016)), _u8017) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8015), _u8017), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8016), _u8017))) )).
% 12.21/12.45 cnf(matrix-3685, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8018), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8019, _u8020)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8018), _u8019), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8018), _u8020))) )).
% 12.21/12.45 cnf(matrix-3686, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8023, _u8025)) != _u8025) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8023), _u8025) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3687, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8024, _u8026)) = _u8026) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8024), _u8026) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8024, _u8026))) )).
% 12.21/12.45 cnf(matrix-3688, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8027, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8029, _u8028)), _u8028)) )).
% 12.21/12.45 cnf(matrix-3690, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8034, _u8036) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8034 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8036), skolem143(_u8036, _u8034))) )).
% 12.21/12.45 cnf(matrix-3691, plain, ( ( _u8035 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8037), _u8031)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8035, _u8037) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3692, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8038), _u8039)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8038, _u8039) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8038), _u8039), _u8039)) )).
% 12.21/12.45 cnf(matrix-3693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8042), _u8044)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8042, _u8044) = _u8042) )).
% 12.21/12.45 cnf(matrix-3694, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8043), _u8045)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8043, _u8045) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8043), _u8045), _u8045)) )).
% 12.21/12.45 cnf(matrix-3695, 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), _u8046), _u8047)), _u8048), _u8047) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8048, _u8047)) )).
% 12.21/12.45 cnf(matrix-3696, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8049, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8050), _u8051)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8050), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8049), _u8050), _u8051))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8049, _u8050))) )).
% 12.21/12.45 cnf(matrix-3697, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8052), _u8053)), _u8054) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8052), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8053), _u8054))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8052), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8053, _u8054))), _u8054))) )).
% 12.21/12.45 cnf(matrix-3698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8055), _u8056)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8056, _u8055) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8056), _u8055), _u8055)) )).
% 12.21/12.45 cnf(matrix-3699, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8057, _u8058) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8057), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8057), _u8058)), _u8058))) )).
% 12.21/12.45 cnf(matrix-3700, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8059), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8060), _u8059)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8060), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8060, _u8059))) )).
% 12.21/12.45 cnf(matrix-3701, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8061), _u8062)), _u8062) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8061), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8061, _u8062))) )).
% 12.21/12.45 cnf(matrix-3702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8064, _u8063)), _u8063)) )).
% 12.21/12.45 cnf(matrix-3703, 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), _u8065), _u8066)), _u8067)), _u8066) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8067), _u8066)) )).
% 12.21/12.45 cnf(matrix-3704, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8068) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8069, tc_fun(_u8069, tc_HOL_Obool))), _u8070), _u8071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8069, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u8069, _u8071)), c_Wellfounded_Oaccp(_u8069, _u8070))) )).
% 12.21/12.45 cnf(matrix-3706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8073), _u8074)) | 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), _u8074), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8075, _u8072))), _u8073)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8074), _u8072))) )).
% 12.21/12.45 cnf(matrix-3707, plain, ( ~hBOOL(hAPP(_u8083, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8085, _u8087))) | ( _u8087 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u8083, _u8085)) )).
% 12.21/12.45 cnf(matrix-3708, plain, ( ~hBOOL(hAPP(_u8083, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8085, _u8087))) | ( _u8087 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8076), _u8087)) | ( _u8085 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8087), _u8077)), _u8076)) | hBOOL(hAPP(_u8083, _u8076)) )).
% 12.21/12.45 cnf(matrix-3709, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ( _u8088 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem145(_u8088, _u8086, _u8084)), _u8088)) )).
% 12.21/12.45 cnf(matrix-3710, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ( _u8088 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8086 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8088), skolem144(_u8088, _u8086, _u8084))), skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.45 cnf(matrix-3711, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ( _u8088 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u8084, skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.45 cnf(matrix-3712, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | ( _u8088 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3713, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem145(_u8088, _u8086, _u8084)), _u8088)) )).
% 12.21/12.45 cnf(matrix-3714, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | ( _u8086 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8088), skolem144(_u8088, _u8086, _u8084))), skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.45 cnf(matrix-3715, plain, ( hBOOL(hAPP(_u8084, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8086, _u8088))) | ~hBOOL(hAPP(_u8084, _u8086)) | ~hBOOL(hAPP(_u8084, skolem145(_u8088, _u8086, _u8084))) )).
% 12.21/12.45 cnf(matrix-3716, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u8089)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8089), _u8090)), _u8089) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8091), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8092)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8091, _u8092), c_Divides_OnegDivAlg(_u8091, _u8092))) )).
% 12.21/12.45 cnf(matrix-3718, plain, ( ( _u8093 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8094, _u8093), c_Divides_Odivmod__int(_u8094, _u8093))) )).
% 12.21/12.45 cnf(matrix-3719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8096)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8095, _u8096), c_Divides_OposDivAlg(_u8095, _u8096))) )).
% 12.21/12.45 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8101)) | ( c_Divides_Odivmod__int(_u8099, _u8101) = c_Divides_OposDivAlg(_u8099, _u8101)) )).
% 12.21/12.45 cnf(matrix-3721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8101)) | ( _u8099 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8099, _u8101) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8101)) | ( _u8099 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u8099, _u8101) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8099), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8101)))) )).
% 12.21/12.45 cnf(matrix-3723, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8102)) | ( c_Divides_Odivmod__int(_u8100, _u8102) = c_Divides_OnegDivAlg(_u8100, _u8102)) )).
% 12.21/12.45 cnf(matrix-3724, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8102)) | ( c_Divides_Odivmod__int(_u8100, _u8102) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8100), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8102)))) )).
% 12.21/12.45 cnf(matrix-3725, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8103), _u8104)) | ( c_Divides_Odivmod__nat(_u8104, _u8103) = 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), _u8104), _u8103)), _u8103))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8104), _u8103), _u8103))) )).
% 12.21/12.45 cnf(matrix-3726, 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), _u8107), _u8108))) | hBOOL(hAPP(hAPP(_u8109, _u8107), _u8108)) | 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), skolem146(_u8109, _u8108, _u8107)), skolem147(_u8109, _u8108, _u8107)))) )).
% 12.21/12.45 cnf(matrix-3727, 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), _u8107), _u8108))) | hBOOL(hAPP(hAPP(_u8109, _u8107), _u8108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem147(_u8109, _u8108, _u8107)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8109, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem146(_u8109, _u8108, _u8107))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem147(_u8109, _u8108, _u8107)))) )).
% 12.21/12.45 cnf(matrix-3728, 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), _u8107), _u8108))) | hBOOL(hAPP(hAPP(_u8109, _u8107), _u8108)) | ~hBOOL(hAPP(hAPP(_u8109, skolem146(_u8109, _u8108, _u8107)), skolem147(_u8109, _u8108, _u8107))) )).
% 12.21/12.45 cnf(matrix-3729, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8110, _u8111), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8112), _u8113))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8114), _u8110), _u8111), 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), _u8114), _u8112)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8114), _u8113)), _u8111))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8114), _u8113), _u8111)))) )).
% 12.21/12.45 cnf(matrix-3730, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8115, _u8116), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8117), _u8118))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8116)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8119)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8115, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8116), _u8119)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8117), _u8119)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8116), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8117, _u8119))), _u8118)))) )).
% 12.21/12.45 cnf(matrix-3731, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8120, _u8121), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8122), _u8123))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8120, _u8121) = _u8123) )).
% 12.21/12.45 cnf(matrix-3732, plain, ( ( c_Divides_Odivmod__nat(_u8124, _u8125) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u8124, _u8125))) )).
% 12.21/12.45 cnf(matrix-3733, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8126, _u8127), c_Divides_Odivmod__nat(_u8126, _u8127))) )).
% 12.21/12.45 cnf(matrix-3734, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8128, _u8129), _u8130)) | ( c_Divides_Odivmod__nat(_u8128, _u8129) = _u8130) )).
% 12.21/12.45 cnf(matrix-3735, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8131, _u8132), _u8133)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8131, _u8132), _u8134)) | ( _u8133 = _u8134) )).
% 12.21/12.45 cnf(matrix-3736, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8135, _u8136), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8135), _u8136)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8135, _u8136)))) )).
% 12.21/12.45 cnf(matrix-3737, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8137, _u8138), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8139), _u8140))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8137), _u8138) = _u8139) )).
% 12.21/12.45 cnf(matrix-3738, plain, ( ( c_Divides_Odivmod__nat(_u8141, 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)), _u8141)) )).
% 12.21/12.45 cnf(matrix-3739, plain, ( ( c_Divides_Odivmod__nat(_u8142, _u8143) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8142), _u8143)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8142, _u8143))) )).
% 12.21/12.45 cnf(matrix-3740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8144), _u8145)) | ( c_Divides_Odivmod__nat(_u8144, _u8145) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8144)) )).
% 12.21/12.45 cnf(matrix-3741, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8146), _u8147)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8146), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8147))) )).
% 12.21/12.45 cnf(matrix-3742, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8148), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8149)), _u8150)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8148, _u8149), hAPP(c_Divides_OnegateSnd, _u8150))) )).
% 12.21/12.45 cnf(matrix-3743, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8151, _u8152), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8153), _u8154))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8155, _u8152), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8156), _u8157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8152)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8151), _u8155), _u8152), 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), _u8153), _u8156)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8154), _u8157)), _u8152))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8154), _u8157), _u8152)))) )).
% 12.21/12.45 cnf(matrix-3744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8159), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8158, _u8159) = 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), _u8158), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8159))))) )).
% 12.21/12.45 cnf(matrix-3745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8160), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8161), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8160), _u8161) = 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), _u8160), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8161))))) )).
% 12.21/12.45 cnf(matrix-3746, plain, ( ( c_Divides_Odivmod__nat(_u8166, _u8164) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8166)) | ( _u8164 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3747, plain, ( ( c_Divides_Odivmod__nat(_u8166, _u8164) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8166), _u8164)) )).
% 12.21/12.45 cnf(matrix-3748, plain, ( ( _u8165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8167), _u8165)) | ( c_Divides_Odivmod__nat(_u8167, _u8165) = 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), _u8167), _u8165), _u8165))) )).
% 12.21/12.45 cnf(matrix-3749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8168)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8169), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8168, _u8169) = 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), _u8168), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8169))))) )).
% 12.21/12.45 cnf(matrix-3750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8171), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8170), _u8171) = 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), _u8170), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8171))))) )).
% 12.21/12.45 cnf(matrix-3751, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8172), _u8173) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8172, _u8173))) )).
% 12.21/12.45 cnf(matrix-3752, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8174, _u8175) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8174, _u8175))) )).
% 12.21/12.45 cnf(matrix-3753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8177)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8176), _u8177) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8176, _u8177))) )).
% 12.21/12.45 cnf(matrix-3754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8179)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8178, _u8179) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8178, _u8179))) )).
% 12.21/12.45 cnf(matrix-3755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8181)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8180), _u8181) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8180, _u8181))) )).
% 12.21/12.45 cnf(matrix-3756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8183)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8182, _u8183) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8182, _u8183))) )).
% 12.21/12.45 cnf(matrix-3757, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8184, _u8185)), hAPP(hAPP(c_Product__Type_OPair(_u8184, _u8185), _u8186), _u8187)), _u8188)) | hBOOL(hAPP(hAPP(c_member(_u8189), hAPP(hAPP(_u8190, _u8186), _u8187)), hAPP(c_Set_Oimage(tc_prod(_u8184, _u8185), _u8189, hAPP(c_Product__Type_Oprod_Oprod__case(_u8184, _u8185, _u8189), _u8190)), _u8188))) )).
% 12.21/12.45 cnf(matrix-3758, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u8191, _u8192, _u8193, _u8194, _u8195) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8193, hAPP(c_Product__Type_Ofst(_u8191, _u8192), _u8195))), hAPP(_u8194, hAPP(c_Product__Type_Osnd(_u8191, _u8192), _u8195)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-3759, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8196, _u8197, _u8198), hAPP(c_Fun_Ocomp(_u8199, tc_fun(_u8197, _u8198), _u8196, _u8200), _u8201)), _u8202) = hAPP(hAPP(_u8200, hAPP(_u8201, hAPP(c_Product__Type_Ofst(_u8196, _u8197), _u8202))), hAPP(c_Product__Type_Osnd(_u8196, _u8197), _u8202))) )).
% 12.21/12.45 cnf(matrix-3760, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8203, _u8204, _u8205), _u8206), _u8207) = hAPP(hAPP(_u8206, hAPP(c_Product__Type_Ofst(_u8203, _u8204), _u8207)), hAPP(c_Product__Type_Osnd(_u8203, _u8204), _u8207))) )).
% 12.21/12.45 cnf(matrix-3761, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u8208, _u8209), _u8209, _u8210), hAPP(hAPP(c_COMBB(_u8211, tc_fun(_u8209, _u8210), tc_prod(_u8208, _u8209)), _u8212), hAPP(hAPP(c_COMBB(_u8208, _u8211, tc_prod(_u8208, _u8209)), _u8213), c_Product__Type_Ofst(_u8208, _u8209)))), c_Product__Type_Osnd(_u8208, _u8209)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8208, _u8209, _u8210), hAPP(hAPP(c_COMBB(_u8211, tc_fun(_u8209, _u8210), _u8208), _u8212), _u8213))) )).
% 12.21/12.45 cnf(matrix-3762, plain, ( ~hBOOL(hAPP(hAPP(_u8214, _u8215), _u8216)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8217, _u8218, tc_HOL_Obool), _u8214), hAPP(hAPP(c_Product__Type_OPair(_u8217, _u8218), _u8215), _u8216))) )).
% 12.21/12.45 cnf(matrix-3763, plain, ( ~hBOOL(hAPP(hAPP(_u8219, _u8220), _u8221)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8222, _u8223, tc_HOL_Obool), _u8219), hAPP(hAPP(c_Product__Type_OPair(_u8222, _u8223), _u8220), _u8221))) )).
% 12.21/12.45 cnf(matrix-3764, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8224), _u8225), hAPP(hAPP(_u8226, _u8227), _u8228))) | hBOOL(hAPP(hAPP(c_member(_u8224), _u8225), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8229, _u8230, tc_fun(_u8224, tc_HOL_Obool)), _u8226), hAPP(hAPP(c_Product__Type_OPair(_u8229, _u8230), _u8227), _u8228)))) )).
% 12.21/12.45 cnf(matrix-3765, plain, ( hBOOL(hAPP(hAPP(_u8233, _u8234), _u8235)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8231, _u8232, tc_HOL_Obool), _u8233), hAPP(hAPP(c_Product__Type_OPair(_u8231, _u8232), _u8234), _u8235))) )).
% 12.21/12.45 cnf(matrix-3766, plain, ( hBOOL(hAPP(hAPP(hAPP(_u8239, _u8240), _u8241), _u8242)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8236, _u8237, tc_fun(_u8238, tc_HOL_Obool)), _u8239), hAPP(hAPP(c_Product__Type_OPair(_u8236, _u8237), _u8240), _u8241)), _u8242)) )).
% 12.21/12.45 cnf(matrix-3767, plain, ( ( c_Relation_OId__on(_u8243, _u8244) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8243, _u8243, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u8243, tc_HOL_Obool, tc_fun(_u8243, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8243, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u8243, tc_HOL_Obool)), _u8243), c_COMBC(_u8243, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8243, tc_HOL_Obool), tc_fun(_u8243, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8243), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8243), c_fconj)), c_fequal))), _u8244))) )).
% 12.21/12.45 cnf(matrix-3768, plain, ( ( c_HOL_OThe(tc_prod(_u8245, _u8246), _u8247) = c_HOL_OThe(tc_prod(_u8245, _u8246), hAPP(c_Product__Type_Oprod_Oprod__case(_u8245, _u8246, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8246, tc_prod(_u8245, _u8246)), tc_fun(_u8246, tc_HOL_Obool), _u8245), hAPP(c_COMBB(tc_prod(_u8245, _u8246), tc_HOL_Obool, _u8246), _u8247)), c_Product__Type_OPair(_u8245, _u8246))))) )).
% 12.21/12.45 cnf(matrix-3769, plain, ( ( c_HOL_OThe(tc_prod(_u8248, _u8249), hAPP(c_Product__Type_Oprod_Oprod__case(_u8248, _u8249, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u8248, tc_fun(_u8249, tc_HOL_Obool), tc_fun(_u8249, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8249, tc_HOL_Obool), tc_fun(_u8249, tc_HOL_Obool)), _u8248), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8249)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8248), c_fconj), hAPP(c_fequal, _u8250)))), hAPP(c_fequal, _u8251)))) = hAPP(hAPP(c_Product__Type_OPair(_u8248, _u8249), _u8250), _u8251)) )).
% 12.21/12.45 cnf(matrix-3770, plain, ( c_Fun_Oinj__on(tc_fun(_u8252, _u8253), tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), tc_fun(_u8252, _u8253)), c_Set_OCollect(tc_prod(_u8252, _u8253))), hAPP(hAPP(c_COMBB(tc_fun(_u8252, tc_fun(_u8253, tc_HOL_Obool)), tc_fun(tc_prod(_u8252, _u8253), tc_HOL_Obool), tc_fun(_u8252, _u8253)), c_Product__Type_Oprod_Oprod__case(_u8252, _u8253, tc_HOL_Obool)), hAPP(c_COMBB(_u8253, tc_fun(_u8253, tc_HOL_Obool), _u8252), hAPP(c_COMBC(_u8253, _u8253, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u8252, _u8253), tc_HOL_Obool))) )).
% 12.21/12.45 cnf(matrix-3771, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8254), _u8255) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8254, _u8255))) )).
% 12.21/12.45 cnf(matrix-3772, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8256, _u8257) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8256, _u8257))) )).
% 12.21/12.45 cnf(matrix-3773, plain, ( ( c_HOL_OThe(tc_prod(_u8258, _u8259), hAPP(c_Product__Type_Oprod_Oprod__case(_u8258, _u8259, tc_HOL_Obool), _u8260)) = c_HOL_OThe(tc_prod(_u8258, _u8259), hAPP(hAPP(c_COMBS(tc_prod(_u8258, _u8259), _u8259, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8258, tc_fun(_u8259, tc_HOL_Obool), tc_prod(_u8258, _u8259)), _u8260), c_Product__Type_Ofst(_u8258, _u8259))), c_Product__Type_Osnd(_u8258, _u8259)))) )).
% 12.21/12.45 cnf(matrix-3774, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8264 = 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), _u8268)), _u8266)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268))) )).
% 12.21/12.45 cnf(matrix-3775, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8268) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3776, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | 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), _u8268))) )).
% 12.21/12.45 cnf(matrix-3777, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268)), _u8266)) )).
% 12.21/12.45 cnf(matrix-3778, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8266), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268))) )).
% 12.21/12.45 cnf(matrix-3779, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8264, _u8266), _u8268)) | ( _u8266 = 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)), _u8266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8268)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3780, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( _u8267 = 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)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3781, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( _u8267 = 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8267)) )).
% 12.21/12.45 cnf(matrix-3782, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( _u8267 = 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3783, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8267 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-3784, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != 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)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3785, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8267)) )).
% 12.21/12.45 cnf(matrix-3786, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8265, _u8267), _u8269)) | ( _u8265 != 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), _u8269)), _u8267)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8269) != 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), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), _u8267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8267), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8269)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-3787, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8272), _u8273) != hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8274), _u8275)) | ( _u8272 = _u8274) )).
% 12.21/12.45 cnf(matrix-3788, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8272), _u8273) != hAPP(hAPP(c_Product__Type_OPair(_u8270, _u8271), _u8274), _u8275)) | ( _u8273 = _u8275) )).
% 12.21/12.45 cnf(matrix-3789, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8286), _u8288) != hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8290), _u8292)) | ( _u8286 = _u8290) )).
% 12.21/12.45 cnf(matrix-3790, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8286), _u8288) != hAPP(hAPP(c_Product__Type_OPair(_u8282, _u8284), _u8290), _u8292)) | ( _u8288 = _u8292) )).
% 12.21/12.45 cnf(matrix-3791, plain, ( ( _u8287 != _u8291) | ( _u8289 != _u8293) | ( hAPP(hAPP(c_Product__Type_OPair(_u8283, _u8285), _u8287), _u8289) = hAPP(hAPP(c_Product__Type_OPair(_u8283, _u8285), _u8291), _u8293)) )).
% 12.21/12.45 cnf(matrix-3792, plain, ( ~hBOOL(hAPP(_u8303, skolem148(_u8307, _u8305, _u8303))) | hBOOL(hAPP(_u8303, hAPP(hAPP(c_Product__Type_OPair(_u8305, _u8307), _u8296), _u8295))) )).
% 12.21/12.45 cnf(matrix-3793, plain, ( ~hBOOL(hAPP(_u8304, hAPP(hAPP(c_Product__Type_OPair(_u8306, _u8308), skolem149(_u8308, _u8306, _u8304)), skolem150(_u8308, _u8306, _u8304)))) | hBOOL(hAPP(_u8304, _u8299)) )).
% 12.21/12.45 cnf(matrix-3794, plain, ( ( _u8309 != _u8310) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8311, _u8312, _u8313), _u8314), _u8309) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8311, _u8312, _u8313), _u8314), _u8310)) )).
% 12.21/12.45 cnf(matrix-3795, plain, ( ( c_Wellfounded_Ofinite__psubset(_u8315) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u8315, tc_HOL_Obool), tc_fun(_u8315, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u8315, tc_HOL_Obool), tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u8315, tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8315, tc_HOL_Obool)), c_COMBS(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8315, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u8315, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u8315, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u8315, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u8315))))) )).
% 12.21/12.45 cnf(matrix-3796, plain, ( ( c_Divides_Odivmod__int__rel(_u8316, _u8317) = 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, _u8316))), 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), _u8317)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u8317))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u8317))))), 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)), _u8317)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u8317))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.21/12.45 cnf(matrix-3797, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8318, _u8319, _u8320), _u8321), hAPP(hAPP(c_Product__Type_OPair(_u8318, _u8319), _u8322), _u8323)) = hAPP(hAPP(_u8321, _u8322), _u8323)) )).
% 12.21/12.45 cnf(matrix-3798, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8324, _u8325, _u8326), _u8327), hAPP(hAPP(c_Product__Type_OPair(_u8324, _u8325), _u8328), _u8329)) = hAPP(hAPP(_u8327, _u8328), _u8329)) )).
% 12.21/12.45 cnf(matrix-3799, plain, ( ( _u8332 = _u8334) | ( hAPP(c_Product__Type_Ofst(_u8330, _u8331), hAPP(hAPP(c_Product__Type_OPair(_u8330, _u8331), _u8332), _u8333)) != _u8334) )).
% 12.21/12.45 cnf(matrix-3800, plain, ( ( hAPP(c_Product__Type_Ofst(_u8335, _u8336), hAPP(hAPP(c_Product__Type_OPair(_u8335, _u8336), _u8337), _u8338)) = _u8337) )).
% 12.21/12.45 cnf(matrix-3801, plain, ( ( _u8342 = _u8343) | ( hAPP(c_Product__Type_Osnd(_u8339, _u8340), hAPP(hAPP(c_Product__Type_OPair(_u8339, _u8340), _u8341), _u8342)) != _u8343) )).
% 12.21/12.45 cnf(matrix-3802, plain, ( ( hAPP(c_Product__Type_Osnd(_u8344, _u8345), hAPP(hAPP(c_Product__Type_OPair(_u8344, _u8345), _u8346), _u8347)) = _u8347) )).
% 12.21/12.45 cnf(matrix-3803, plain, ( ( hAPP(c_Product__Type_Ofst(_u8348, _u8349), _u8350) != hAPP(c_Product__Type_Ofst(_u8348, _u8349), _u8351)) | ( hAPP(c_Product__Type_Osnd(_u8348, _u8349), _u8350) != hAPP(c_Product__Type_Osnd(_u8348, _u8349), _u8351)) | ( _u8350 = _u8351) )).
% 12.21/12.45 cnf(matrix-3804, plain, ( ( _u8356 != _u8358) | ( hAPP(c_Product__Type_Ofst(_u8360, _u8362), _u8356) = hAPP(c_Product__Type_Ofst(_u8360, _u8362), _u8358)) )).
% 12.21/12.45 cnf(matrix-3805, plain, ( ( _u8356 != _u8358) | ( hAPP(c_Product__Type_Osnd(_u8360, _u8362), _u8356) = hAPP(c_Product__Type_Osnd(_u8360, _u8362), _u8358)) )).
% 12.21/12.45 cnf(matrix-3806, plain, ( ( hAPP(c_Product__Type_Ofst(_u8361, _u8363), _u8357) != hAPP(c_Product__Type_Ofst(_u8361, _u8363), _u8359)) | ( hAPP(c_Product__Type_Osnd(_u8361, _u8363), _u8357) != hAPP(c_Product__Type_Osnd(_u8361, _u8363), _u8359)) | ( _u8357 = _u8359) )).
% 12.21/12.45 cnf(matrix-3807, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u8364, _u8365, _u8366), hAPP(hAPP(c_COMBB(tc_fun(_u8365, tc_prod(_u8364, _u8365)), tc_fun(_u8365, _u8366), _u8364), hAPP(c_COMBB(tc_prod(_u8364, _u8365), _u8366, _u8365), _u8367)), c_Product__Type_OPair(_u8364, _u8365))) = _u8367) )).
% 12.21/12.45 cnf(matrix-3808, plain, ( ( hAPP(c_Product__Type_Ofst(_u8368, _u8369), _u8370) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8368, _u8369, _u8368), c_COMBK(_u8368, _u8369)), _u8370)) )).
% 12.21/12.45 cnf(matrix-3809, plain, ( ( hAPP(c_Product__Type_Osnd(_u8371, _u8372), _u8373) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8371, _u8372, _u8372), hAPP(c_COMBK(tc_fun(_u8372, _u8372), _u8371), c_COMBI(_u8372))), _u8373)) )).
% 12.21/12.45 cnf(matrix-3810, plain, ( c_Fun_Oinj__on(tc_prod(_u8374, _u8375), tc_prod(_u8375, _u8374), hAPP(c_Product__Type_Oprod_Oprod__case(_u8374, _u8375, tc_prod(_u8375, _u8374)), hAPP(c_COMBC(_u8375, _u8374, tc_prod(_u8375, _u8374)), c_Product__Type_OPair(_u8375, _u8374))), _u8376) )).
% 12.21/12.45 cnf(matrix-3811, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8377, _u8378, _u8379), _u8380), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8381, _u8382, tc_prod(_u8377, _u8378)), _u8383), _u8384)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8381, _u8382, _u8379), hAPP(hAPP(c_COMBB(tc_fun(_u8382, tc_prod(_u8377, _u8378)), tc_fun(_u8382, _u8379), _u8381), hAPP(c_COMBB(tc_prod(_u8377, _u8378), _u8379, _u8382), hAPP(c_Product__Type_Oprod_Oprod__case(_u8377, _u8378, _u8379), _u8380))), _u8383)), _u8384)) )).
% 12.21/12.45 cnf(matrix-3812, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8385, _u8386), hAPP(c_Product__Type_Ofst(_u8385, _u8386), _u8387)), hAPP(c_Product__Type_Osnd(_u8385, _u8386), _u8387)) = _u8387) )).
% 12.21/12.45 cnf(matrix-3813, plain, ( ( _u8388 = hAPP(hAPP(c_Product__Type_OPair(_u8389, _u8390), hAPP(c_Product__Type_Ofst(_u8389, _u8390), _u8388)), hAPP(c_Product__Type_Osnd(_u8389, _u8390), _u8388))) )).
% 12.21/12.45 cnf(matrix-3814, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8391, _u8392, _u8393), _u8394), _u8395) = hAPP(hAPP(_u8394, hAPP(c_Product__Type_Ofst(_u8391, _u8392), _u8395)), hAPP(c_Product__Type_Osnd(_u8391, _u8392), _u8395))) )).
% 12.21/12.45 cnf(matrix-3815, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8396, _u8397, _u8398), _u8399), _u8400) = hAPP(hAPP(_u8399, hAPP(c_Product__Type_Ofst(_u8396, _u8397), _u8400)), hAPP(c_Product__Type_Osnd(_u8396, _u8397), _u8400))) )).
% 12.21/12.45 cnf(matrix-3816, plain, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.45 cnf(matrix-3817, plain, ( ~hBOOL(hAPP(hAPP(_u8401, _u8402), _u8403)) | hBOOL(hAPP(hAPP(_u8401, hAPP(c_Product__Type_Osnd(_u8404, _u8405), hAPP(hAPP(c_Product__Type_OPair(_u8404, _u8405), _u8403), _u8402))), hAPP(c_Product__Type_Ofst(_u8404, _u8405), hAPP(hAPP(c_Product__Type_OPair(_u8404, _u8405), _u8403), _u8402)))) )).
% 12.21/12.45 cnf(matrix-3818, plain, ( ~hBOOL(hAPP(_u8406, _u8407)) | ~hBOOL(hAPP(_u8408, _u8409)) | hBOOL(hAPP(_u8406, hAPP(c_Product__Type_Ofst(_u8410, _u8411), hAPP(hAPP(c_Product__Type_OPair(_u8410, _u8411), _u8407), _u8409)))) )).
% 12.21/12.45 cnf(matrix-3819, plain, ( ~hBOOL(hAPP(_u8406, _u8407)) | ~hBOOL(hAPP(_u8408, _u8409)) | hBOOL(hAPP(_u8408, hAPP(c_Product__Type_Osnd(_u8410, _u8411), hAPP(hAPP(c_Product__Type_OPair(_u8410, _u8411), _u8407), _u8409)))) )).
% 12.21/12.45 cnf(matrix-3820, plain, ( ( c_Int_Oint__ge__less__than2(_u8412) = 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), _u8412)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.21/12.45 cnf(matrix-3821, plain, ( ( c_Int_Oint__ge__less__than(_u8413) = 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), _u8413)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.21/12.45 cnf(matrix-3822, plain, ( ( c_Nitpick_Oprod(_u8414, _u8415, _u8416, _u8417) = hAPP(c_Set_OCollect(tc_prod(_u8414, _u8415)), hAPP(c_Product__Type_Oprod_Oprod__case(_u8414, _u8415, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u8414, tc_fun(_u8415, tc_HOL_Obool), tc_fun(_u8415, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8415, tc_HOL_Obool), tc_fun(_u8415, tc_HOL_Obool)), _u8414), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8415)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8414), c_fconj), hAPP(hAPP(c_COMBC(_u8414, tc_fun(_u8414, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8414)), _u8416)))), hAPP(hAPP(c_COMBC(_u8415, tc_fun(_u8415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8415)), _u8417))))) )).
% 12.21/12.45 cnf(matrix-3823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8418)), 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), _u8418)) = 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), _u8418)))))) )).
% 12.21/12.45 cnf(matrix-3824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8419)), 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), _u8419)) = 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), _u8419)))))) )).
% 12.21/12.45 cnf(matrix-3825, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u8420, _u8421), _u8422), _u8423) = hAPP(c_Set_OCollect(tc_prod(_u8421, _u8421)), hAPP(c_Product__Type_Oprod_Oprod__case(_u8421, _u8421, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u8421, tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_fun(_u8421, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8421, tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_fun(_u8421, tc_HOL_Obool)), _u8421), c_COMBC(_u8421, tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8421, tc_prod(_u8420, _u8420)), tc_fun(_u8421, tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool)), _u8421), hAPP(c_COMBB(tc_prod(_u8420, _u8420), tc_fun(tc_fun(tc_prod(_u8420, _u8420), tc_HOL_Obool), tc_HOL_Obool), _u8421), c_member(tc_prod(_u8420, _u8420)))), hAPP(hAPP(c_COMBC(_u8421, tc_fun(_u8421, _u8420), tc_fun(_u8421, tc_prod(_u8420, _u8420))), hAPP(hAPP(c_COMBB(tc_fun(_u8420, tc_prod(_u8420, _u8420)), tc_fun(tc_fun(_u8421, _u8420), tc_fun(_u8421, tc_prod(_u8420, _u8420))), _u8421), c_COMBB(_u8420, tc_prod(_u8420, _u8420), _u8421)), hAPP(hAPP(c_COMBB(_u8420, tc_fun(_u8420, tc_prod(_u8420, _u8420)), _u8421), c_Product__Type_OPair(_u8420, _u8420)), _u8423))), _u8423)))), _u8422)))) )).
% 12.21/12.45 cnf(matrix-3826, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u8424, _u8425, _u8426, _u8427, hAPP(hAPP(c_Product__Type_OPair(_u8424, _u8425), _u8428), _u8429)) = hAPP(hAPP(_u8427, _u8428), _u8429)) )).
% 12.21/12.45 cnf(matrix-3827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8432)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8432), _u8434)) )).
% 12.21/12.45 cnf(matrix-3828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8433), _u8435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8433)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8435))) )).
% 12.21/12.45 cnf(matrix-3829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8438)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8438), _u8440)) )).
% 12.21/12.45 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8439), _u8441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8439)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8441))) )).
% 12.21/12.45 cnf(matrix-3831, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8442)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8443)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8442), _u8443))) )).
% 12.21/12.45 cnf(matrix-3832, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8444) = _u8444) )).
% 12.21/12.45 cnf(matrix-3833, plain, ( ~class_Int_Onumber(_u8445) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446) != _u8447) | ( _u8447 = hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446)) )).
% 12.21/12.45 cnf(matrix-3834, plain, ( ~class_Int_Onumber(_u8445) | ( _u8447 != hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8445), _u8446) = _u8447) )).
% 12.21/12.45 cnf(matrix-3835, plain, ( ~class_Int_Onumber__ring(_u8448) | ~class_Int_Oring__char__0(_u8448) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8449) != hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8450)) | ( _u8449 = _u8450) )).
% 12.21/12.45 cnf(matrix-3836, plain, ( ~class_Int_Onumber__ring(_u8448) | ~class_Int_Oring__char__0(_u8448) | ( _u8449 != _u8450) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8449) = hAPP(c_Int_Onumber__class_Onumber__of(_u8448), _u8450)) )).
% 12.21/12.45 cnf(matrix-3837, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8451)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8452)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8451), _u8452))) )).
% 12.21/12.45 cnf(matrix-3838, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8453)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8453))) )).
% 12.21/12.45 cnf(matrix-3839, plain, ( ~class_Int_Onumber(_u8454) | ~class_Orderings_Olinorder(_u8454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455))) )).
% 12.21/12.45 cnf(matrix-3840, plain, ( ~class_Int_Onumber(_u8454) | ~class_Orderings_Olinorder(_u8454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8454), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8455)), hAPP(c_Int_Onumber__class_Onumber__of(_u8454), _u8456))) )).
% 12.21/12.45 cnf(matrix-3841, plain, ( ~class_Int_Onumber(_u8457) | ~class_Rings_Osemiring(_u8457) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8457), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8457), _u8458), _u8459)), hAPP(c_Int_Onumber__class_Onumber__of(_u8457), _u8460)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8457), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8457), _u8458), hAPP(c_Int_Onumber__class_Onumber__of(_u8457), _u8460))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8457), _u8459), hAPP(c_Int_Onumber__class_Onumber__of(_u8457), _u8460)))) )).
% 12.21/12.45 cnf(matrix-3842, plain, ( ~class_Int_Onumber(_u8461) | ~class_Rings_Osemiring(_u8461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8461), hAPP(c_Int_Onumber__class_Onumber__of(_u8461), _u8462)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8461), _u8463), _u8464)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8461), hAPP(c_Int_Onumber__class_Onumber__of(_u8461), _u8462)), _u8463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8461), hAPP(c_Int_Onumber__class_Onumber__of(_u8461), _u8462)), _u8464))) )).
% 12.21/12.45 cnf(matrix-3843, plain, ( ~class_Int_Onumber(_u8465) | ~class_Rings_Oring(_u8465) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8465), hAPP(c_Int_Onumber__class_Onumber__of(_u8465), _u8466)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8465), _u8467), _u8468)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8465), hAPP(c_Int_Onumber__class_Onumber__of(_u8465), _u8466)), _u8467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8465), hAPP(c_Int_Onumber__class_Onumber__of(_u8465), _u8466)), _u8468))) )).
% 12.21/12.45 cnf(matrix-3844, plain, ( ~class_Int_Onumber(_u8469) | ~class_Rings_Oring(_u8469) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8469), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8469), _u8470), _u8471)), hAPP(c_Int_Onumber__class_Onumber__of(_u8469), _u8472)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8469), _u8470), hAPP(c_Int_Onumber__class_Onumber__of(_u8469), _u8472))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8469), _u8471), hAPP(c_Int_Onumber__class_Onumber__of(_u8469), _u8472)))) )).
% 12.21/12.45 cnf(matrix-3845, plain, ( ~class_Int_Onumber__ring(_u8473) | ~class_Rings_Olinordered__idom(_u8473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8473), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8474)), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8474), _u8475)) )).
% 12.21/12.45 cnf(matrix-3846, plain, ( ~class_Int_Onumber__ring(_u8473) | ~class_Rings_Olinordered__idom(_u8473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8474), _u8475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8473), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8474)), hAPP(c_Int_Onumber__class_Onumber__of(_u8473), _u8475))) )).
% 12.21/12.45 cnf(matrix-3847, plain, ( ~class_Int_Onumber__ring(_u8476) | ~class_Rings_Olinordered__idom(_u8476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8476), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8477)), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8477), _u8478)) )).
% 12.21/12.45 cnf(matrix-3848, plain, ( ~class_Int_Onumber__ring(_u8476) | ~class_Rings_Olinordered__idom(_u8476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8477), _u8478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8476), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8477)), hAPP(c_Int_Onumber__class_Onumber__of(_u8476), _u8478))) )).
% 12.21/12.45 cnf(matrix-3849, plain, ( ~class_Int_Onumber__ring(_u8479) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8479), hAPP(c_Int_Onumber__class_Onumber__of(_u8479), _u8480)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8479), hAPP(c_Int_Onumber__class_Onumber__of(_u8479), _u8481)), _u8482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8479), hAPP(c_Int_Onumber__class_Onumber__of(_u8479), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8480), _u8481))), _u8482)) )).
% 12.21/12.45 cnf(matrix-3850, plain, ( ~class_Int_Onumber__ring(_u8483) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8483), hAPP(c_Int_Onumber__class_Onumber__of(_u8483), _u8484)), hAPP(c_Int_Onumber__class_Onumber__of(_u8483), _u8485)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8484), _u8485))) )).
% 12.21/12.45 cnf(matrix-3851, plain, ( ~class_Int_Onumber__ring(_u8486) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8487), _u8488)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8486), hAPP(c_Int_Onumber__class_Onumber__of(_u8486), _u8487)), hAPP(c_Int_Onumber__class_Onumber__of(_u8486), _u8488))) )).
% 12.21/12.45 cnf(matrix-3852, plain, ( ~class_Int_Onumber__ring(_u8489) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8489), hAPP(c_Int_Onumber__class_Onumber__of(_u8489), _u8490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8489), hAPP(c_Int_Onumber__class_Onumber__of(_u8489), _u8491)), _u8492)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8489), hAPP(c_Int_Onumber__class_Onumber__of(_u8489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8490), _u8491))), _u8492)) )).
% 12.21/12.45 cnf(matrix-3853, plain, ( ~class_Int_Onumber__ring(_u8493) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8493), hAPP(c_Int_Onumber__class_Onumber__of(_u8493), _u8494)), hAPP(c_Int_Onumber__class_Onumber__of(_u8493), _u8495)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8494), _u8495))) )).
% 12.21/12.45 cnf(matrix-3854, plain, ( ~class_Int_Onumber__ring(_u8496) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8497), _u8498)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8496), hAPP(c_Int_Onumber__class_Onumber__of(_u8496), _u8497)), hAPP(c_Int_Onumber__class_Onumber__of(_u8496), _u8498))) )).
% 12.21/12.45 cnf(matrix-3855, plain, ( ~class_Int_Onumber__ring(_u8499) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8499), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8500), _u8501)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8499), hAPP(c_Int_Onumber__class_Onumber__of(_u8499), _u8500)), hAPP(c_Int_Onumber__class_Onumber__of(_u8499), _u8501))) )).
% 12.21/12.45 cnf(matrix-3856, plain, ( ~class_Int_Onumber__ring(_u8502) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8502), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8503)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8502), hAPP(c_Int_Onumber__class_Onumber__of(_u8502), _u8503))) )).
% 12.21/12.45 cnf(matrix-3857, plain, ( ~class_Int_Onumber__ring(_u8504) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8504), hAPP(c_Int_Onumber__class_Onumber__of(_u8504), _u8505)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8504), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8505))) )).
% 12.21/12.45 cnf(matrix-3858, plain, ( ~class_Int_Onumber__ring(_u8506) | hBOOL(hAPP(hAPP(c_member(_u8506), hAPP(c_Int_Onumber__class_Onumber__of(_u8506), _u8507)), c_Int_Oring__1__class_OInts(_u8506))) )).
% 12.21/12.45 cnf(matrix-3859, plain, ( ~class_Int_Onumber__ring(_u8508) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8508), hAPP(c_Int_Onumber__class_Onumber__of(_u8508), _u8509)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8508), hAPP(c_Int_Onumber__class_Onumber__of(_u8508), _u8510)), _u8511)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8508), hAPP(c_Int_Onumber__class_Onumber__of(_u8508), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8509), _u8510))), _u8511)) )).
% 12.21/12.45 cnf(matrix-3860, plain, ( ~class_Int_Onumber__ring(_u8512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8512), hAPP(c_Groups_Ouminus__class_Ouminus(_u8512), hAPP(c_Int_Onumber__class_Onumber__of(_u8512), _u8513))), _u8514) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8512), hAPP(c_Int_Onumber__class_Onumber__of(_u8512), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8513))), _u8514)) )).
% 12.21/12.45 cnf(matrix-3861, plain, ( ~class_Int_Onumber__ring(_u8515) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8515), hAPP(c_Int_Onumber__class_Onumber__of(_u8515), _u8516)), hAPP(c_Int_Onumber__class_Onumber__of(_u8515), _u8517)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8516), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8517)))) )).
% 12.21/12.45 cnf(matrix-3862, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8519)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8518), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8519)))) )).
% 12.21/12.45 cnf(matrix-3863, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8532, _u8532)), hAPP(hAPP(c_Product__Type_OPair(_u8532, _u8532), hAPP(_u8536, _u8528)), hAPP(_u8536, _u8530))), _u8534)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8526, _u8526)), hAPP(hAPP(c_Product__Type_OPair(_u8526, _u8526), _u8528), _u8530)), hAPP(hAPP(c_Relation_Oinv__image(_u8532, _u8526), _u8534), _u8536))) )).
% 12.21/12.45 cnf(matrix-3864, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8533, _u8533)), hAPP(hAPP(c_Product__Type_OPair(_u8533, _u8533), hAPP(_u8537, _u8529)), hAPP(_u8537, _u8531))), _u8535)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8527, _u8527)), hAPP(hAPP(c_Product__Type_OPair(_u8527, _u8527), _u8529), _u8531)), hAPP(hAPP(c_Relation_Oinv__image(_u8533, _u8527), _u8535), _u8537))) )).
% 12.21/12.45 cnf(matrix-3865, plain, ( ~class_Int_Onumber__ring(_u8538) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8538), hAPP(c_Int_Onumber__class_Onumber__of(_u8538), _u8539)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8538), _u8540), hAPP(c_Int_Onumber__class_Onumber__of(_u8538), _u8541))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8538), hAPP(c_Int_Onumber__class_Onumber__of(_u8538), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8539), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8541)))), _u8540)) )).
% 12.21/12.45 cnf(matrix-3866, 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), _u8542))) | ( 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), _u8542)) = 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), _u8542)))) )).
% 12.21/12.45 cnf(matrix-3867, 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), _u8543))) | ( 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), _u8543)) = 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), _u8543)))) )).
% 12.21/12.45 cnf(matrix-3868, plain, ( ( c_FunDef_Orp__inv__image(_u8544, _u8545) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool)), c_COMBS(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)), tc_fun(tc_fun(_u8545, _u8544), tc_fun(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), tc_fun(tc_prod(_u8544, _u8544), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool))), tc_fun(_u8545, _u8544)), c_Product__Type_OPair(tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool), tc_fun(tc_prod(_u8545, _u8545), tc_HOL_Obool)))), c_Relation_Oinv__image(_u8544, _u8545))))), c_Relation_Oinv__image(_u8544, _u8545)))) )).
% 12.21/12.45 cnf(matrix-3869, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8548, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8548, _u8549), _u8550), _u8551)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552) | hBOOL(hAPP(hAPP(_u8553, _u8550), _u8551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8548, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8548, _u8549), skolem151(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548)), skolem152(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548))), hAPP(_u8552, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552)), hAPP(c_Set_OCollect(tc_prod(_u8548, _u8549)), hAPP(c_Product__Type_Oprod_Oprod__case(_u8548, _u8549, tc_HOL_Obool), _u8553)))))) )).
% 12.21/12.45 cnf(matrix-3870, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8548, _u8549)), hAPP(hAPP(c_Product__Type_OPair(_u8548, _u8549), _u8550), _u8551)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), tc_fun(tc_prod(_u8548, _u8549), tc_HOL_Obool), _u8552) | hBOOL(hAPP(hAPP(_u8553, _u8550), _u8551)) | ~hBOOL(hAPP(hAPP(_u8553, skolem151(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548)), skolem152(_u8553, _u8552, _u8551, _u8550, _u8549, _u8548))) )).
% 12.21/12.45 cnf(matrix-3871, plain, ( ~class_Int_Onumber__ring(_u8554) | ~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), _u8555))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8555))) = hAPP(hAPP(c_HOL_OLet(_u8554, _u8554), hAPP(hAPP(c_Power_Opower__class_Opower(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8555))), hAPP(hAPP(c_COMBS(_u8554, _u8554, _u8554), hAPP(hAPP(c_COMBB(_u8554, tc_fun(_u8554, _u8554), _u8554), c_Groups_Otimes__class_Otimes(_u8554)), hAPP(c_Groups_Otimes__class_Otimes(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)))), c_COMBI(_u8554)))) )).
% 12.21/12.45 cnf(matrix-3872, plain, ( ~class_Int_Onumber__ring(_u8554) | 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), _u8555))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8554), hAPP(c_Int_Onumber__class_Onumber__of(_u8554), _u8556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8555))) = c_Groups_Oone__class_Oone(_u8554)) )).
% 12.21/12.45 cnf(matrix-3873, plain, ( ~class_Fields_Ofield(_u8557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8558), _u8559)) | ( hAPP(_u8560, _u8561) = c_Groups_Ozero__class_Ozero(_u8557)) | ~hBOOL(hAPP(hAPP(c_member(_u8558), _u8561), _u8559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8558, tc_HOL_Obool)), _u8559), hAPP(hAPP(c_Set_Oinsert(_u8558), _u8561), c_Orderings_Obot__class_Obot(tc_fun(_u8558, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8557), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), _u8559)), hAPP(_u8560, _u8561))) )).
% 12.21/12.45 cnf(matrix-3874, plain, ( ~class_Fields_Ofield(_u8557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8558), _u8559)) | ( hAPP(_u8560, _u8561) = c_Groups_Ozero__class_Ozero(_u8557)) | hBOOL(hAPP(hAPP(c_member(_u8558), _u8561), _u8559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8558, tc_HOL_Obool)), _u8559), hAPP(hAPP(c_Set_Oinsert(_u8558), _u8561), c_Orderings_Obot__class_Obot(tc_fun(_u8558, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8558, _u8557), _u8560), _u8559)) )).
% 12.21/12.45 cnf(matrix-3875, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8562), _u8563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8564), _u8565)) | 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), _u8562), _u8564)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8563), _u8565))), c_FunDef_Opair__less)) )).
% 12.21/12.45 cnf(matrix-3876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8568)), c_Int_OBit1(_u8570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8568), _u8570)) )).
% 12.21/12.45 cnf(matrix-3877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8569), _u8571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8569)), c_Int_OBit1(_u8571))) )).
% 12.21/12.45 cnf(matrix-3878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8574)), c_Int_OBit1(_u8576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8574), _u8576)) )).
% 12.21/12.45 cnf(matrix-3879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8575), _u8577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u8575)), c_Int_OBit1(_u8577))) )).
% 12.21/12.45 cnf(matrix-3880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8580)), c_Int_OBit1(_u8582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8580), _u8582)) )).
% 12.21/12.45 cnf(matrix-3881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8581), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8581)), c_Int_OBit1(_u8583))) )).
% 12.21/12.45 cnf(matrix-3882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8586)), c_Int_OBit1(_u8588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8586), _u8588)) )).
% 12.21/12.45 cnf(matrix-3883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8587), _u8589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8587)), c_Int_OBit1(_u8589))) )).
% 12.21/12.45 cnf(matrix-3884, plain, ( ~class_Rings_Odivision__ring(_u8590) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8590), c_Groups_Ozero__class_Ozero(_u8590)), _u8591) = c_Groups_Ozero__class_Ozero(_u8590)) )).
% 12.21/12.45 cnf(matrix-3885, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u8592) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8592), _u8593), c_Groups_Ozero__class_Ozero(_u8592)) = c_Groups_Ozero__class_Ozero(_u8592)) )).
% 12.21/12.45 cnf(matrix-3886, plain, ( ~class_Rings_Odivision__ring(_u8594) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8594), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8594), _u8595), _u8596)), _u8597) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8594), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8594), _u8595), _u8597)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8594), _u8596), _u8597))) )).
% 12.21/12.45 cnf(matrix-3887, plain, ( ~class_Rings_Odivision__ring(_u8598) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8598), _u8599), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8598), _u8600), _u8601)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8598), _u8599), _u8600)), _u8601)) )).
% 12.21/12.45 cnf(matrix-3888, plain, ( ( c_Int_OBit1(_u8604) != c_Int_OBit1(_u8606)) | ( _u8604 = _u8606) )).
% 12.21/12.45 cnf(matrix-3889, plain, ( ( _u8605 != _u8607) | ( c_Int_OBit1(_u8605) = c_Int_OBit1(_u8607)) )).
% 12.21/12.45 cnf(matrix-3890, plain, ( ~class_Fields_Ofield__inverse__zero(_u8608) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8608), _u8609), _u8610)), _u8611) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8608), hAPP(hAPP(c_Power_Opower__class_Opower(_u8608), _u8609), _u8611)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8608), _u8610), _u8611))) )).
% 12.21/12.45 cnf(matrix-3891, plain, ( ~class_Rings_Odivision__ring(_u8612) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8612), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8612), _u8613), _u8614)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8612), hAPP(c_Groups_Ouminus__class_Ouminus(_u8612), _u8613)), _u8614)) )).
% 12.21/12.45 cnf(matrix-3892, plain, ( ~class_Rings_Odivision__ring(_u8615) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8615), _u8616), c_Groups_Oone__class_Oone(_u8615)) = _u8616) )).
% 12.21/12.45 cnf(matrix-3893, plain, ( ~class_Rings_Odivision__ring(_u8617) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8617), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8617), _u8618), _u8619)), _u8620) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8617), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8617), _u8618), _u8620)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8617), _u8619), _u8620))) )).
% 12.21/12.45 cnf(matrix-3894, plain, ( ~class_Rings_Odivision__ring(_u8621) | ( _u8622 = c_Groups_Ozero__class_Ozero(_u8621)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8621), _u8623), _u8622) != _u8624) | ( _u8623 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8621), _u8624), _u8622)) )).
% 12.21/12.45 cnf(matrix-3895, plain, ( ~class_Rings_Odivision__ring(_u8625) | ( _u8626 = c_Groups_Ozero__class_Ozero(_u8625)) | ( _u8627 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8625), _u8628), _u8626)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8625), _u8627), _u8626) = _u8628) )).
% 12.21/12.45 cnf(matrix-3896, plain, ( ~class_Rings_Odivision__ring(_u8629) | ( _u8630 = c_Groups_Ozero__class_Ozero(_u8629)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8629), _u8631), _u8630) != _u8632) | ( _u8631 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8629), _u8632), _u8630)) )).
% 12.21/12.45 cnf(matrix-3897, plain, ( ~class_Rings_Odivision__ring(_u8629) | ( _u8630 = c_Groups_Ozero__class_Ozero(_u8629)) | ( _u8631 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8629), _u8632), _u8630)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8629), _u8631), _u8630) = _u8632) )).
% 12.21/12.45 cnf(matrix-3898, plain, ( ~class_Rings_Odivision__ring(_u8633) | ( _u8634 = c_Groups_Ozero__class_Ozero(_u8633)) | ( _u8635 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8633), _u8636), _u8634)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8633), _u8635), _u8634) = _u8636) )).
% 12.21/12.45 cnf(matrix-3899, plain, ( ~class_Rings_Odivision__ring(_u8633) | ( _u8634 = c_Groups_Ozero__class_Ozero(_u8633)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8633), _u8635), _u8634) != _u8636) | ( _u8635 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8633), _u8636), _u8634)) )).
% 12.21/12.45 cnf(matrix-3900, plain, ( ~class_Rings_Odivision__ring(_u8637) | ( _u8638 = c_Groups_Ozero__class_Ozero(_u8637)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8637), _u8639), _u8638) != c_Groups_Oone__class_Oone(_u8637)) | ( _u8639 = _u8638) )).
% 12.21/12.45 cnf(matrix-3901, plain, ( ~class_Rings_Odivision__ring(_u8637) | ( _u8638 = c_Groups_Ozero__class_Ozero(_u8637)) | ( _u8639 != _u8638) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8637), _u8639), _u8638) = c_Groups_Oone__class_Oone(_u8637)) )).
% 12.21/12.45 cnf(matrix-3902, plain, ( ~class_Rings_Odivision__ring(_u8640) | ( _u8641 = c_Groups_Ozero__class_Ozero(_u8640)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8640), _u8641), _u8641) = c_Groups_Oone__class_Oone(_u8640)) )).
% 12.21/12.45 cnf(matrix-3903, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u8642) | ( _u8643 != c_Groups_Ozero__class_Ozero(_u8642)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8642), _u8643), _u8643) = c_Groups_Ozero__class_Ozero(_u8642)) )).
% 12.21/12.45 cnf(matrix-3904, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u8642) | ( _u8643 = c_Groups_Ozero__class_Ozero(_u8642)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8642), _u8643), _u8643) = c_Groups_Oone__class_Oone(_u8642)) )).
% 12.21/12.45 cnf(matrix-3905, plain, ( ~class_Rings_Odivision__ring(_u8644) | ( _u8645 = c_Groups_Ozero__class_Ozero(_u8644)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8644), hAPP(c_Groups_Ouminus__class_Ouminus(_u8644), _u8646)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8644), _u8645)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8644), _u8646), _u8645)) )).
% 12.21/12.45 cnf(matrix-3906, plain, ( ~class_Rings_Odivision__ring(_u8647) | ( _u8648 = c_Groups_Ozero__class_Ozero(_u8647)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8647), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8647), _u8649), _u8648)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8647), _u8649), hAPP(c_Groups_Ouminus__class_Ouminus(_u8647), _u8648))) )).
% 12.21/12.45 cnf(matrix-3907, plain, ( ~class_Fields_Ofield(_u8650) | ( _u8651 = c_Groups_Ozero__class_Ozero(_u8650)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8650), _u8652), _u8651)), _u8653) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8650), hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), _u8652), _u8653)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), _u8651), _u8653))) )).
% 12.21/12.45 cnf(matrix-3908, plain, ( ~class_Fields_Ofield__inverse__zero(_u8654) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8654), c_Groups_Oone__class_Oone(_u8654)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8654), _u8655), _u8656)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8654), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8654), c_Groups_Oone__class_Oone(_u8654)), _u8655)), _u8656)) )).
% 12.21/12.45 cnf(matrix-3909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8658)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8658), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8659), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u8659)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-3911, plain, ( ( c_Int_OBit1(_u8660) = 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)), _u8660)), _u8660)) )).
% 12.21/12.45 cnf(matrix-3912, plain, ( ~class_Fields_Ofield__inverse__zero(_u8661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8662), _u8663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8662, _u8661), hAPP(hAPP(c_COMBS(_u8662, _u8661, _u8661), hAPP(hAPP(c_COMBB(_u8661, tc_fun(_u8661, _u8661), _u8662), c_Rings_Oinverse__class_Odivide(_u8661)), _u8664)), _u8665)), _u8663) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8661), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8662, _u8661), _u8664), _u8663)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8662, _u8661), _u8665), _u8663))) )).
% 12.21/12.45 cnf(matrix-3913, plain, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) = c_Groups_Ozero__class_Ozero(_u8666)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8666), _u8667), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669)) = _u8668) )).
% 12.21/12.45 cnf(matrix-3914, plain, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) != c_Groups_Ozero__class_Ozero(_u8666)) | ( _u8667 = c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.45 cnf(matrix-3915, plain, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) != c_Groups_Ozero__class_Ozero(_u8666)) | ( _u8667 != c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.45 cnf(matrix-3916, plain, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8666), _u8667), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669)) != _u8668) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669) = c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.45 cnf(matrix-3917, plain, ( ~class_Fields_Ofield__inverse__zero(_u8666) | ~class_Int_Onumber(_u8666) | ( _u8667 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8666), _u8668), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8666), _u8667), hAPP(c_Int_Onumber__class_Onumber__of(_u8666), _u8669)) != _u8668) | ( _u8667 != c_Groups_Ozero__class_Ozero(_u8666)) )).
% 12.21/12.45 cnf(matrix-3918, plain, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( _u8673 = c_Groups_Ozero__class_Ozero(_u8670)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8670), hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671)), _u8673) = _u8672) )).
% 12.21/12.45 cnf(matrix-3919, plain, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( _u8673 != c_Groups_Ozero__class_Ozero(_u8670)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.45 cnf(matrix-3920, plain, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( _u8673 != c_Groups_Ozero__class_Ozero(_u8670)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.45 cnf(matrix-3921, plain, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8670), hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671)), _u8673) != _u8672) | ( _u8673 = c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.45 cnf(matrix-3922, plain, ( ~class_Fields_Ofield__inverse__zero(_u8670) | ~class_Int_Onumber(_u8670) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8670), _u8672), _u8673)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8670), hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671)), _u8673) != _u8672) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8670), _u8671) != c_Groups_Ozero__class_Ozero(_u8670)) )).
% 12.21/12.45 cnf(matrix-3923, plain, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) != hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8676 = c_Groups_Ozero__class_Ozero(_u8674)) | ( _u8675 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8674), hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)), _u8676)) )).
% 12.21/12.45 cnf(matrix-3924, plain, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) != hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8676 != c_Groups_Ozero__class_Ozero(_u8674)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677) = c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.45 cnf(matrix-3925, plain, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) = hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8676 != c_Groups_Ozero__class_Ozero(_u8674)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677) != c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.45 cnf(matrix-3926, plain, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) = hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8675 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8674), hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)), _u8676)) | ( _u8676 = c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.45 cnf(matrix-3927, plain, ( ~class_Fields_Ofield__inverse__zero(_u8674) | ~class_Int_Onumber(_u8674) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8674), _u8675), _u8676) = hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)) | ( _u8675 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8674), hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677)), _u8676)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8674), _u8677) != c_Groups_Ozero__class_Ozero(_u8674)) )).
% 12.21/12.45 cnf(matrix-3928, plain, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) != _u8681) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) = c_Groups_Ozero__class_Ozero(_u8678)) | ( _u8679 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8678), _u8681), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680))) )).
% 12.21/12.45 cnf(matrix-3929, plain, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) != _u8681) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) != c_Groups_Ozero__class_Ozero(_u8678)) | ( _u8681 = c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.45 cnf(matrix-3930, plain, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) = _u8681) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) != c_Groups_Ozero__class_Ozero(_u8678)) | ( _u8681 != c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.45 cnf(matrix-3931, plain, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) = _u8681) | ( _u8679 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8678), _u8681), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680) = c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.45 cnf(matrix-3932, plain, ( ~class_Fields_Ofield__inverse__zero(_u8678) | ~class_Int_Onumber(_u8678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8678), _u8679), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680)) = _u8681) | ( _u8679 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8678), _u8681), hAPP(c_Int_Onumber__class_Onumber__of(_u8678), _u8680))) | ( _u8681 != c_Groups_Ozero__class_Ozero(_u8678)) )).
% 12.21/12.45 cnf(matrix-3933, plain, ( ~class_Int_Onumber__ring(_u8682) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u8682), c_Int_OBit1(_u8683)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8682), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8682), c_Groups_Oone__class_Oone(_u8682)), hAPP(c_Int_Onumber__class_Onumber__of(_u8682), _u8683))), hAPP(c_Int_Onumber__class_Onumber__of(_u8682), _u8683))) )).
% 12.21/12.45 cnf(matrix-3934, plain, ( ~class_Int_Onumber__ring(_u8684) | ~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), _u8685))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8684), _u8686), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8685))) = hAPP(hAPP(c_HOL_OLet(_u8684, _u8684), hAPP(hAPP(c_Power_Opower__class_Opower(_u8684), _u8686), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8685))), hAPP(hAPP(c_COMBS(_u8684, _u8684, _u8684), hAPP(hAPP(c_COMBB(_u8684, tc_fun(_u8684, _u8684), _u8684), c_Groups_Otimes__class_Otimes(_u8684)), hAPP(c_Groups_Otimes__class_Otimes(_u8684), _u8686))), c_COMBI(_u8684)))) )).
% 12.21/12.45 cnf(matrix-3935, plain, ( ~class_Int_Onumber__ring(_u8684) | 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), _u8685))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8684), _u8686), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8685))) = c_Groups_Oone__class_Oone(_u8684)) )).
% 12.21/12.45 cnf(matrix-3936, 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), _u8689))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8691), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8689))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8691), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8689))), 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), _u8691))), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-3937, 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), _u8690))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8692), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8690))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-3938, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) )).
% 12.21/12.45 cnf(matrix-3939, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) )).
% 12.21/12.45 cnf(matrix-3940, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.45 cnf(matrix-3941, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.45 cnf(matrix-3942, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 12.21/12.45 cnf(matrix-3943, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.45 cnf(matrix-3944, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))) )).
% 12.21/12.45 cnf(matrix-3945, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.45 cnf(matrix-3946, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 12.21/12.45 cnf(matrix-3947, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~class_Int_Onumber(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8694), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8696), hAPP(c_Int_Onumber__class_Onumber__of(_u8693), _u8695))), _u8694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 12.21/12.45 cnf(matrix-3948, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) )).
% 12.21/12.45 cnf(matrix-3949, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) )).
% 12.21/12.45 cnf(matrix-3950, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.45 cnf(matrix-3951, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.45 cnf(matrix-3952, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 12.21/12.45 cnf(matrix-3953, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.45 cnf(matrix-3954, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) )).
% 12.21/12.45 cnf(matrix-3955, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.45 cnf(matrix-3956, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 12.21/12.45 cnf(matrix-3957, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~class_Int_Onumber(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700)), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), hAPP(c_Int_Onumber__class_Onumber__of(_u8697), _u8700))) )).
% 12.21/12.45 cnf(matrix-3958, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) )).
% 12.21/12.45 cnf(matrix-3959, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) )).
% 12.21/12.45 cnf(matrix-3960, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3961, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3962, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3963, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3964, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8704)) )).
% 12.21/12.45 cnf(matrix-3965, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3966, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8704), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3967, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8701) | ~class_Int_Onumber(_u8701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8703), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704)), _u8703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), _u8703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), _u8704))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), hAPP(c_Int_Onumber__class_Onumber__of(_u8701), _u8702)), c_Groups_Ozero__class_Ozero(_u8701))) )).
% 12.21/12.45 cnf(matrix-3968, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) )).
% 12.21/12.45 cnf(matrix-3969, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) )).
% 12.21/12.45 cnf(matrix-3970, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3971, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3972, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3973, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3974, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))) )).
% 12.21/12.45 cnf(matrix-3975, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3976, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3977, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8705) | ~class_Int_Onumber(_u8705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708))), _u8707)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8706), hAPP(c_Int_Onumber__class_Onumber__of(_u8705), _u8708)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), _u8706), c_Groups_Ozero__class_Ozero(_u8705))) )).
% 12.21/12.45 cnf(matrix-3978, plain, ( ~class_Fields_Ofield(_u8709) | ( _u8710 = c_Groups_Ozero__class_Ozero(_u8709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8711), _u8712)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8709), _u8710), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8712), _u8711)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), hAPP(hAPP(c_Power_Opower__class_Opower(_u8709), _u8710), _u8712)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8709), _u8710), _u8711))) )).
% 12.21/12.45 cnf(matrix-3979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8713), _u8714)) | 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), _u8713), _u8715)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8714), _u8716))), c_FunDef_Opair__less)) )).
% 12.21/12.45 cnf(matrix-3980, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) )).
% 12.21/12.45 cnf(matrix-3981, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) )).
% 12.21/12.45 cnf(matrix-3982, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3983, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3984, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3985, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3986, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), c_Groups_Ozero__class_Ozero(_u8717)), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))) )).
% 12.21/12.45 cnf(matrix-3987, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3988, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8717), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3989, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8717) | ~class_Int_Onumber(_u8717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8719), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720))), _u8719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8717), _u8718), hAPP(c_Int_Onumber__class_Onumber__of(_u8717), _u8720)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8717), _u8718), c_Groups_Ozero__class_Ozero(_u8717))) )).
% 12.21/12.45 cnf(matrix-3990, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) )).
% 12.21/12.45 cnf(matrix-3991, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) )).
% 12.21/12.45 cnf(matrix-3992, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-3993, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-3994, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-3995, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-3996, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), c_Groups_Ozero__class_Ozero(_u8721)), _u8724)) )).
% 12.21/12.45 cnf(matrix-3997, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-3998, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8721), _u8724), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-3999, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8721) | ~class_Int_Onumber(_u8721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8721), _u8723), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724)), _u8723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), _u8723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), _u8724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8721), hAPP(c_Int_Onumber__class_Onumber__of(_u8721), _u8722)), c_Groups_Ozero__class_Ozero(_u8721))) )).
% 12.21/12.45 cnf(matrix-4000, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) )).
% 12.21/12.45 cnf(matrix-4001, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) )).
% 12.21/12.45 cnf(matrix-4002, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.45 cnf(matrix-4003, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.45 cnf(matrix-4004, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) )).
% 12.21/12.45 cnf(matrix-4005, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.45 cnf(matrix-4006, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), _u8727)) )).
% 12.21/12.45 cnf(matrix-4007, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.45 cnf(matrix-4008, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8725), _u8727), c_Groups_Ozero__class_Ozero(_u8725))) )).
% 12.21/12.45 cnf(matrix-4009, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8725) | ~class_Int_Onumber(_u8725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8725), _u8726), _u8727)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), _u8726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8725), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728)), _u8727)), _u8726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8725), c_Groups_Ozero__class_Ozero(_u8725)), hAPP(c_Int_Onumber__class_Onumber__of(_u8725), _u8728))) )).
% 12.21/12.45 cnf(matrix-4010, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) )).
% 12.21/12.45 cnf(matrix-4011, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) )).
% 12.21/12.45 cnf(matrix-4012, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.45 cnf(matrix-4013, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.45 cnf(matrix-4014, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) )).
% 12.21/12.45 cnf(matrix-4015, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.45 cnf(matrix-4016, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))) )).
% 12.21/12.45 cnf(matrix-4017, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.45 cnf(matrix-4018, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8729), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)), c_Groups_Ozero__class_Ozero(_u8729))) )).
% 12.21/12.45 cnf(matrix-4019, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8729) | ~class_Int_Onumber(_u8729) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8729), _u8730), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), _u8730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8729), _u8732), hAPP(c_Int_Onumber__class_Onumber__of(_u8729), _u8731))), _u8730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8729), c_Groups_Ozero__class_Ozero(_u8729)), _u8732)) )).
% 12.21/12.45 cnf(matrix-4020, 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), _u8733))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8733) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8733)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-4021, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), _u8736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8737), c_Groups_Ozero__class_Ozero(_u8734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8737), _u8735)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8737), _u8736))) )).
% 12.21/12.45 cnf(matrix-4022, plain, ( ~class_Fields_Olinordered__field(_u8738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8738), _u8739), _u8740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8738), c_Groups_Ozero__class_Ozero(_u8738)), _u8741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8738), c_Groups_Ozero__class_Ozero(_u8738)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8738), _u8740), _u8739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8738), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8738), _u8741), _u8740)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8738), _u8741), _u8739))) )).
% 12.21/12.45 cnf(matrix-4023, plain, ( ~class_Fields_Olinordered__field(_u8742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8742), _u8743), c_Groups_Ozero__class_Ozero(_u8742))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8742), _u8744), _u8743)), _u8745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8742), _u8745), _u8743)), _u8744)) )).
% 12.21/12.45 cnf(matrix-4024, plain, ( ~class_Fields_Olinordered__field(_u8742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8742), _u8743), c_Groups_Ozero__class_Ozero(_u8742))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8742), _u8745), _u8743)), _u8744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8742), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8742), _u8744), _u8743)), _u8745)) )).
% 12.21/12.45 cnf(matrix-4025, plain, ( ~class_Fields_Olinordered__field(_u8746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8746), _u8747), c_Groups_Ozero__class_Ozero(_u8746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8748), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8746), _u8749), _u8747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8746), _u8748), _u8747))) )).
% 12.21/12.45 cnf(matrix-4026, plain, ( ~class_Fields_Olinordered__field(_u8746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8746), _u8747), c_Groups_Ozero__class_Ozero(_u8746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8746), _u8748), _u8747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8746), _u8748), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8746), _u8749), _u8747))) )).
% 12.21/12.45 cnf(matrix-4027, plain, ( ~class_Fields_Olinordered__field(_u8750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8750), c_Groups_Ozero__class_Ozero(_u8750)), _u8751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8750), _u8752), _u8751)), _u8753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8750), _u8752), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8750), _u8753), _u8751))) )).
% 12.21/12.45 cnf(matrix-4028, plain, ( ~class_Fields_Ofield__inverse__zero(_u8754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8754), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), _u8755), _u8756)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), _u8757), _u8758)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8754), _u8755), _u8757)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8754), _u8756), _u8758))) )).
% 12.21/12.45 cnf(matrix-4029, plain, ( ~class_Fields_Ofield__inverse__zero(_u8759) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8759), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8759), _u8760), _u8761)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8759), _u8760), hAPP(c_Groups_Ouminus__class_Ouminus(_u8759), _u8761))) )).
% 12.21/12.45 cnf(matrix-4030, plain, ( ~class_Fields_Ofield__inverse__zero(_u8762) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8762), hAPP(c_Groups_Ouminus__class_Ouminus(_u8762), _u8763)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8762), _u8764)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8762), _u8763), _u8764)) )).
% 12.21/12.45 cnf(matrix-4031, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8765), _u8766), _u8767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8765), _u8768), c_Groups_Ozero__class_Ozero(_u8765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8765), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8765), _u8767), _u8768)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8765), _u8766), _u8768))) )).
% 12.21/12.45 cnf(matrix-4032, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8769), _u8770), _u8771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8769), c_Groups_Ozero__class_Ozero(_u8769)), _u8772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8769), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8769), _u8770), _u8772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8769), _u8771), _u8772))) )).
% 12.21/12.45 cnf(matrix-4033, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8774), c_Groups_Ozero__class_Ozero(_u8773))) )).
% 12.21/12.45 cnf(matrix-4034, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8775)) )).
% 12.21/12.45 cnf(matrix-4035, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8775), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8774), c_Groups_Ozero__class_Ozero(_u8773))) )).
% 12.21/12.45 cnf(matrix-4036, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8775), c_Groups_Ozero__class_Ozero(_u8773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8775)) )).
% 12.21/12.45 cnf(matrix-4037, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8775), c_Groups_Ozero__class_Ozero(_u8773))) )).
% 12.21/12.45 cnf(matrix-4038, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8773), _u8774), _u8775)), c_Groups_Ozero__class_Ozero(_u8773))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), _u8774), c_Groups_Ozero__class_Ozero(_u8773))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8773), c_Groups_Ozero__class_Ozero(_u8773)), _u8775)) )).
% 12.21/12.45 cnf(matrix-4039, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_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), _u8777), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.45 cnf(matrix-4040, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_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), _u8778), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.45 cnf(matrix-4041, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), _u8778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8777), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.45 cnf(matrix-4042, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), _u8778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8778), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.45 cnf(matrix-4043, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_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), c_Groups_Ozero__class_Ozero(_u8776)), _u8778)) )).
% 12.21/12.45 cnf(matrix-4044, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8776) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8777), c_Groups_Ozero__class_Ozero(_u8776))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8778), c_Groups_Ozero__class_Ozero(_u8776))) )).
% 12.21/12.45 cnf(matrix-4045, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8780), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.45 cnf(matrix-4046, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8781), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.45 cnf(matrix-4047, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8780), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.45 cnf(matrix-4048, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8781), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.45 cnf(matrix-4049, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), _u8781)) )).
% 12.21/12.45 cnf(matrix-4050, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), c_Groups_Ozero__class_Ozero(_u8779)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8779), _u8780), _u8781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8780), c_Groups_Ozero__class_Ozero(_u8779))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8779), _u8781), c_Groups_Ozero__class_Ozero(_u8779))) )).
% 12.21/12.45 cnf(matrix-4051, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8783), c_Groups_Ozero__class_Ozero(_u8782))) )).
% 12.21/12.45 cnf(matrix-4052, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8784)) )).
% 12.21/12.45 cnf(matrix-4053, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8784), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8783), c_Groups_Ozero__class_Ozero(_u8782))) )).
% 12.21/12.45 cnf(matrix-4054, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8784), c_Groups_Ozero__class_Ozero(_u8782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8784)) )).
% 12.21/12.45 cnf(matrix-4055, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8784), c_Groups_Ozero__class_Ozero(_u8782))) )).
% 12.21/12.45 cnf(matrix-4056, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8782), _u8783), _u8784)), c_Groups_Ozero__class_Ozero(_u8782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), _u8783), c_Groups_Ozero__class_Ozero(_u8782))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8782), c_Groups_Ozero__class_Ozero(_u8782)), _u8784)) )).
% 12.21/12.45 cnf(matrix-4057, plain, ( ~class_Fields_Olinordered__field(_u8785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8785), c_Groups_Ozero__class_Ozero(_u8785)), _u8786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8785), c_Groups_Ozero__class_Ozero(_u8785)), _u8787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8785), c_Groups_Ozero__class_Ozero(_u8785)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8785), _u8786), _u8787))) )).
% 12.21/12.45 cnf(matrix-4058, plain, ( ~class_Fields_Olinordered__field(_u8788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8788), c_Groups_Ozero__class_Ozero(_u8788)), _u8789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8788), _u8790), c_Groups_Ozero__class_Ozero(_u8788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8788), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8788), _u8789), _u8790)), c_Groups_Ozero__class_Ozero(_u8788))) )).
% 12.21/12.45 cnf(matrix-4059, plain, ( ~class_Fields_Olinordered__field(_u8791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8791), _u8792), c_Groups_Ozero__class_Ozero(_u8791))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8791), c_Groups_Ozero__class_Ozero(_u8791)), _u8793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8791), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8791), _u8792), _u8793)), c_Groups_Ozero__class_Ozero(_u8791))) )).
% 12.21/12.45 cnf(matrix-4060, plain, ( ~class_Fields_Olinordered__field(_u8794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), _u8795), c_Groups_Ozero__class_Ozero(_u8794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), _u8796), c_Groups_Ozero__class_Ozero(_u8794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), c_Groups_Ozero__class_Ozero(_u8794)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8794), _u8795), _u8796))) )).
% 12.21/12.45 cnf(matrix-4061, plain, ( ~class_Fields_Olinordered__field(_u8797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8797), _u8798), _u8799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8797), c_Groups_Ozero__class_Ozero(_u8797)), _u8800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8797), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8797), _u8798), _u8800)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8797), _u8799), _u8800))) )).
% 12.21/12.45 cnf(matrix-4062, plain, ( ~class_Fields_Olinordered__field(_u8801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8801), _u8802), _u8803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8801), _u8804), c_Groups_Ozero__class_Ozero(_u8801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8801), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8801), _u8803), _u8804)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8801), _u8802), _u8804))) )).
% 12.21/12.45 cnf(matrix-4063, plain, ( ~class_Fields_Ofield(_u8805) | ( _u8806 = c_Groups_Ozero__class_Ozero(_u8805)) | ( _u8807 = c_Groups_Ozero__class_Ozero(_u8805)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8808), _u8806) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8809), _u8807)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8808), _u8807) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8809), _u8806)) )).
% 12.21/12.45 cnf(matrix-4064, plain, ( ~class_Fields_Ofield(_u8805) | ( _u8806 = c_Groups_Ozero__class_Ozero(_u8805)) | ( _u8807 = c_Groups_Ozero__class_Ozero(_u8805)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8808), _u8807) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8805), _u8809), _u8806)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8808), _u8806) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8805), _u8809), _u8807)) )).
% 12.21/12.45 cnf(matrix-4065, plain, ( ~class_Fields_Ofield__inverse__zero(_u8810) | ( _u8811 = c_Groups_Ozero__class_Ozero(_u8810)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8810), _u8811), _u8812)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8810), _u8811), _u8813)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8810), _u8812), _u8813)) )).
% 12.21/12.45 cnf(matrix-4066, plain, ( ~class_Fields_Ofield__inverse__zero(_u8814) | ( _u8815 = c_Groups_Ozero__class_Ozero(_u8814)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8816), _u8815)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8817), _u8815)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817)) )).
% 12.21/12.45 cnf(matrix-4067, plain, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) != _u8821) | ( _u8820 = c_Groups_Ozero__class_Ozero(_u8818)) | ( _u8819 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)) )).
% 12.21/12.45 cnf(matrix-4068, plain, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) != _u8821) | ( _u8820 != c_Groups_Ozero__class_Ozero(_u8818)) | ( _u8821 = c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.45 cnf(matrix-4069, plain, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) = _u8821) | ( _u8820 != c_Groups_Ozero__class_Ozero(_u8818)) | ( _u8821 != c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.45 cnf(matrix-4070, plain, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) = _u8821) | ( _u8819 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)) | ( _u8820 = c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.45 cnf(matrix-4071, plain, ( ~class_Fields_Ofield__inverse__zero(_u8818) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820) = _u8821) | ( _u8819 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)) | ( _u8821 != c_Groups_Ozero__class_Ozero(_u8818)) )).
% 12.21/12.45 cnf(matrix-4072, plain, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( _u8825 = c_Groups_Ozero__class_Ozero(_u8822)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8823), _u8825) = _u8824) )).
% 12.21/12.45 cnf(matrix-4073, plain, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( _u8825 != c_Groups_Ozero__class_Ozero(_u8822)) | ( _u8823 = c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.45 cnf(matrix-4074, plain, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( _u8825 != c_Groups_Ozero__class_Ozero(_u8822)) | ( _u8823 != c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.45 cnf(matrix-4075, plain, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8823), _u8825) != _u8824) | ( _u8825 = c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.45 cnf(matrix-4076, plain, ( ~class_Fields_Ofield__inverse__zero(_u8822) | ( _u8823 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8824), _u8825)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8823), _u8825) != _u8824) | ( _u8823 != c_Groups_Ozero__class_Ozero(_u8822)) )).
% 12.21/12.45 cnf(matrix-4077, plain, ( ~class_Fields_Olinordered__field(_u8826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8826), _u8827), c_Groups_Ozero__class_Ozero(_u8826))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), _u8828), c_Groups_Ozero__class_Ozero(_u8826))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8826), _u8827), _u8828))) )).
% 12.21/12.45 cnf(matrix-4078, plain, ( ~class_Fields_Olinordered__field(_u8829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8829), _u8830), c_Groups_Ozero__class_Ozero(_u8829))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8829), c_Groups_Ozero__class_Ozero(_u8829)), _u8831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8829), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8829), _u8830), _u8831)), c_Groups_Ozero__class_Ozero(_u8829))) )).
% 12.21/12.45 cnf(matrix-4079, plain, ( ~class_Fields_Olinordered__field(_u8832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), c_Groups_Ozero__class_Ozero(_u8832)), _u8833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), _u8833), _u8834)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8832), c_Groups_Ozero__class_Ozero(_u8832)), _u8835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), _u8835), _u8836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8832), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8832), _u8833), _u8836)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8832), _u8834), _u8835))) )).
% 12.21/12.45 cnf(matrix-4080, plain, ( ~class_Fields_Olinordered__field(_u8837) | ~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(_u8837), _u8838), _u8839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8837), c_Groups_Ozero__class_Ozero(_u8837)), _u8840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8837), _u8840), _u8841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8837), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8837), _u8838), _u8841)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8837), _u8839), _u8840))) )).
% 12.21/12.45 cnf(matrix-4081, plain, ( ~class_Fields_Olinordered__field(_u8842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), c_Groups_Ozero__class_Ozero(_u8842)), _u8843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8842), _u8843), _u8844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), c_Groups_Ozero__class_Ozero(_u8842)), _u8845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), _u8845), _u8846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8843), _u8846)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8844), _u8845))) )).
% 12.21/12.45 cnf(matrix-4082, plain, ( ~class_Fields_Olinordered__field(_u8847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8847), c_Groups_Ozero__class_Ozero(_u8847)), _u8848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8847), _u8849), c_Groups_Ozero__class_Ozero(_u8847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8847), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8847), _u8848), _u8849)), c_Groups_Ozero__class_Ozero(_u8847))) )).
% 12.21/12.45 cnf(matrix-4083, plain, ( ~class_Fields_Olinordered__field(_u8850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), _u8851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), _u8852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8850), _u8851), _u8852))) )).
% 12.21/12.45 cnf(matrix-4084, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) )).
% 12.21/12.45 cnf(matrix-4085, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) )).
% 12.21/12.45 cnf(matrix-4086, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4087, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4088, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4089, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4090, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), c_Groups_Ozero__class_Ozero(_u8853)), _u8856)) )).
% 12.21/12.45 cnf(matrix-4091, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4092, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8856), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4093, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8853), _u8855), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856)), _u8855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8853), _u8854), _u8856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8853), _u8854), c_Groups_Ozero__class_Ozero(_u8853))) )).
% 12.21/12.45 cnf(matrix-4094, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) )).
% 12.21/12.45 cnf(matrix-4095, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) )).
% 12.21/12.45 cnf(matrix-4096, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.45 cnf(matrix-4097, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.45 cnf(matrix-4098, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) )).
% 12.21/12.45 cnf(matrix-4099, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.45 cnf(matrix-4100, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8859)) )).
% 12.21/12.45 cnf(matrix-4101, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.45 cnf(matrix-4102, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8859), c_Groups_Ozero__class_Ozero(_u8857))) )).
% 12.21/12.45 cnf(matrix-4103, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8857), _u8858), _u8859)), _u8860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), _u8858), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8857), _u8860), _u8859)), _u8858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8857), c_Groups_Ozero__class_Ozero(_u8857)), _u8860)) )).
% 12.21/12.45 cnf(matrix-4104, plain, ( ~class_Fields_Olinordered__field(_u8861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), c_Groups_Ozero__class_Ozero(_u8861)), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), _u8863), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8861), _u8864), _u8862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8861), _u8863), _u8862)), _u8864)) )).
% 12.21/12.45 cnf(matrix-4105, plain, ( ~class_Fields_Olinordered__field(_u8861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), c_Groups_Ozero__class_Ozero(_u8861)), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8861), _u8863), _u8862)), _u8864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8861), _u8863), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8861), _u8864), _u8862))) )).
% 12.21/12.45 cnf(matrix-4106, plain, ( ~class_Fields_Olinordered__field(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), c_Groups_Ozero__class_Ozero(_u8865)), _u8866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8865), _u8867), _u8866)), _u8868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), _u8867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8865), _u8868), _u8866))) )).
% 12.21/12.45 cnf(matrix-4107, plain, ( ~class_Fields_Olinordered__field(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), c_Groups_Ozero__class_Ozero(_u8865)), _u8866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), _u8867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8865), _u8868), _u8866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8865), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8865), _u8867), _u8866)), _u8868)) )).
% 12.21/12.45 cnf(matrix-4108, plain, ( ~class_Fields_Olinordered__field(_u8869) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8869), c_Groups_Ozero__class_Ozero(_u8869)), _u8870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8869), _u8871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8869), _u8872), _u8870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8869), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8869), _u8871), _u8870)), _u8872)) )).
% 12.21/12.45 cnf(matrix-4109, plain, ( ~class_Fields_Olinordered__field(_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), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8873), _u8875), _u8874)), _u8876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), _u8875), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8873), _u8876), _u8874))) )).
% 12.21/12.45 cnf(matrix-4110, plain, ( ~class_Fields_Olinordered__field(_u8877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8878), c_Groups_Ozero__class_Ozero(_u8877))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8877), _u8880), _u8878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8880), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8877), _u8879), _u8878))) )).
% 12.21/12.45 cnf(matrix-4111, plain, ( ~class_Fields_Olinordered__field(_u8877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8878), c_Groups_Ozero__class_Ozero(_u8877))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8880), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8877), _u8879), _u8878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8877), _u8879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8877), _u8880), _u8878))) )).
% 12.21/12.45 cnf(matrix-4112, plain, ( ~class_Fields_Olinordered__field(_u8881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), _u8882), c_Groups_Ozero__class_Ozero(_u8881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8881), _u8883), _u8882)), _u8884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8881), _u8884), _u8882)), _u8883)) )).
% 12.21/12.45 cnf(matrix-4113, plain, ( ~class_Fields_Olinordered__field(_u8881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), _u8882), c_Groups_Ozero__class_Ozero(_u8881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8881), _u8884), _u8882)), _u8883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8881), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8881), _u8883), _u8882)), _u8884)) )).
% 12.21/12.45 cnf(matrix-4114, plain, ( ~class_Fields_Olinordered__field(_u8885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), _u8886), _u8887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), c_Groups_Ozero__class_Ozero(_u8885)), _u8888)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), c_Groups_Ozero__class_Ozero(_u8885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8885), _u8887), _u8886))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8885), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8885), _u8888), _u8887)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8885), _u8888), _u8886))) )).
% 12.21/12.45 cnf(matrix-4115, plain, ( ~class_Fields_Olinordered__field(_u8889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), _u8890), _u8891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), _u8892), c_Groups_Ozero__class_Ozero(_u8889))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), c_Groups_Ozero__class_Ozero(_u8889)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8889), _u8890), _u8891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8889), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8889), _u8892), _u8890)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8889), _u8892), _u8891))) )).
% 12.21/12.45 cnf(matrix-4116, plain, ( ~class_Fields_Ofield(_u8893) | ( _u8894 = c_Groups_Ozero__class_Ozero(_u8893)) | ( _u8895 = c_Groups_Ozero__class_Ozero(_u8893)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8893), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8893), _u8896), _u8894)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8893), _u8897), _u8895)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8893), _u8896), _u8895)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8893), _u8897), _u8894))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8893), _u8894), _u8895))) )).
% 12.21/12.45 cnf(matrix-4117, plain, ( ~class_Fields_Ofield(_u8898) | ( _u8899 = c_Groups_Ozero__class_Ozero(_u8898)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8898), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8898), _u8900), _u8899)), _u8901) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8898), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8898), _u8900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8898), _u8899), _u8901))), _u8899)) )).
% 12.21/12.45 cnf(matrix-4118, plain, ( ~class_Fields_Ofield__inverse__zero(_u8902) | ( _u8903 = c_Groups_Ozero__class_Ozero(_u8902)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8902), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8902), _u8904), _u8903)), _u8905) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8902), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8902), _u8904), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8902), _u8905), _u8903))), _u8903)) )).
% 12.21/12.45 cnf(matrix-4119, plain, ( ~class_Fields_Ofield(_u8906) | ( _u8907 = c_Groups_Ozero__class_Ozero(_u8906)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8906), _u8908), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8906), _u8909), _u8907)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8906), _u8907), _u8908)), _u8909)), _u8907)) )).
% 12.21/12.45 cnf(matrix-4120, plain, ( ~class_Fields_Ofield__inverse__zero(_u8910) | ( _u8911 = c_Groups_Ozero__class_Ozero(_u8910)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8910), _u8912), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8910), _u8913), _u8911)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8910), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8910), _u8913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8910), _u8912), _u8911))), _u8911)) )).
% 12.21/12.45 cnf(matrix-4121, plain, ( ~class_Fields_Ofield(_u8914) | ( _u8915 = c_Groups_Ozero__class_Ozero(_u8914)) | ( _u8916 = c_Groups_Ozero__class_Ozero(_u8914)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8914), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8914), _u8917), _u8915)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8914), _u8918), _u8916)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8914), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8914), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8914), _u8917), _u8916)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8914), _u8918), _u8915))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8914), _u8915), _u8916))) )).
% 12.21/12.45 cnf(matrix-4122, plain, ( ~class_Fields_Ofield(_u8919) | ( _u8920 = c_Groups_Ozero__class_Ozero(_u8919)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8919), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8919), _u8921), _u8920)), _u8922) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8919), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8919), _u8921), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8919), _u8920), _u8922))), _u8920)) )).
% 12.21/12.45 cnf(matrix-4123, plain, ( ~class_Fields_Ofield(_u8923) | ( _u8924 = c_Groups_Ozero__class_Ozero(_u8923)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8923), _u8925), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8923), _u8926), _u8924)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8923), _u8924), _u8925)), _u8926)), _u8924)) )).
% 12.21/12.45 cnf(matrix-4124, plain, ( ~class_Fields_Olinordered__field(_u8927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8927), _u8928), _u8929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8927), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8927), _u8928), _u8929)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8927), c_Groups_Oone__class_Oone(_u8927)), c_Groups_Oone__class_Oone(_u8927)))), _u8929)) )).
% 12.21/12.45 cnf(matrix-4125, plain, ( ~class_Fields_Olinordered__field(_u8930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8930), _u8931), _u8932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8930), _u8931), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8930), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8930), _u8931), _u8932)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8930), c_Groups_Oone__class_Oone(_u8930)), c_Groups_Oone__class_Oone(_u8930))))) )).
% 12.21/12.45 cnf(matrix-4126, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) )).
% 12.21/12.45 cnf(matrix-4127, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) )).
% 12.21/12.45 cnf(matrix-4128, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4129, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4130, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4131, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4132, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), c_Groups_Ozero__class_Ozero(_u8933)), _u8936)) )).
% 12.21/12.45 cnf(matrix-4133, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4134, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8933), _u8936), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4135, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8933) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8933), _u8935), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936)), _u8935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8933), _u8934), _u8936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8933), _u8934), c_Groups_Ozero__class_Ozero(_u8933))) )).
% 12.21/12.45 cnf(matrix-4136, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) )).
% 12.21/12.45 cnf(matrix-4137, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) )).
% 12.21/12.45 cnf(matrix-4138, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.45 cnf(matrix-4139, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.45 cnf(matrix-4140, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) )).
% 12.21/12.45 cnf(matrix-4141, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.45 cnf(matrix-4142, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8939)) )).
% 12.21/12.45 cnf(matrix-4143, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.45 cnf(matrix-4144, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8937), _u8939), c_Groups_Ozero__class_Ozero(_u8937))) )).
% 12.21/12.45 cnf(matrix-4145, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8937) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8937), _u8938), _u8939)), _u8940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), _u8938), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8937), _u8940), _u8939)), _u8938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8937), c_Groups_Ozero__class_Ozero(_u8937)), _u8940)) )).
% 12.21/12.45 cnf(matrix-4146, plain, ( ~class_Fields_Olinordered__field(_u8941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8941), c_Groups_Ozero__class_Ozero(_u8941)), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), _u8943), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8941), _u8944), _u8942))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8941), _u8943), _u8942)), _u8944)) )).
% 12.21/12.45 cnf(matrix-4147, plain, ( ~class_Fields_Olinordered__field(_u8941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8941), c_Groups_Ozero__class_Ozero(_u8941)), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8941), _u8943), _u8942)), _u8944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8941), _u8943), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8941), _u8944), _u8942))) )).
% 12.21/12.45 cnf(matrix-4148, plain, ( ~class_Fields_Olinordered__field(_u8945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8945), c_Groups_Ozero__class_Ozero(_u8945)), _u8946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8945), _u8947), _u8946)), _u8948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), _u8947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8945), _u8948), _u8946))) )).
% 12.21/12.45 cnf(matrix-4149, plain, ( ~class_Fields_Olinordered__field(_u8945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8945), c_Groups_Ozero__class_Ozero(_u8945)), _u8946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), _u8947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8945), _u8948), _u8946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8945), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8945), _u8947), _u8946)), _u8948)) )).
% 12.21/12.45 cnf(matrix-4150, plain, ( ~class_Fields_Olinordered__field(_u8949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8949), c_Groups_Ozero__class_Ozero(_u8949)), _u8950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8949), _u8951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8949), _u8952), _u8950))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8949), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8949), _u8951), _u8950)), _u8952)) )).
% 12.21/12.45 cnf(matrix-4151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8953), _u8954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8955), _u8956)) | 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), _u8953), _u8955)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8954), _u8956))), c_FunDef_Opair__leq)) )).
% 12.21/12.45 cnf(matrix-4152, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8957), _u8958)) | ~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)), _u8957), _u8959)), 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)), _u8958), _u8960)), 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)), _u8958), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8959), _u8960))), c_FunDef_Omin__strict)) )).
% 12.21/12.45 cnf(matrix-4153, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8961), _u8962)) | ~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)), _u8963), _u8961)), 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)), _u8964), _u8962)), 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)), _u8963), _u8964)), _u8962)), c_FunDef_Omax__strict)) )).
% 12.21/12.45 cnf(matrix-4154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8965), _u8966)) | 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), _u8965), _u8967)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8966), _u8968))), c_FunDef_Opair__leq)) )).
% 12.21/12.45 cnf(matrix-4155, plain, ( ~class_Fields_Ofield(_u8970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8972)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8973)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8972)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8973))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)))) | hBOOL(hAPP(hAPP(c_member(_u8971), skolem153(_u8974, _u8973, _u8972, _u8971, _u8970)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973))) )).
% 12.21/12.45 cnf(matrix-4156, plain, ( ~class_Fields_Ofield(_u8970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8972)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8973)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8972)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), _u8973))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8971, _u8970), _u8974), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8971, tc_HOL_Obool)), _u8972), _u8973)))) | ( hAPP(_u8974, skolem153(_u8974, _u8973, _u8972, _u8971, _u8970)) = c_Groups_Ozero__class_Ozero(_u8970)) )).
% 12.21/12.45 cnf(matrix-4157, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8975)) | ( _u8975 = 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))), _u8975)), c_FunDef_Omax__strict)) )).
% 12.21/12.45 cnf(matrix-4158, plain, ( ( _u8976 = 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)), _u8976), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.21/12.45 cnf(matrix-4159, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.21/12.45 cnf(matrix-4160, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8977), _u8978)) | ~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)), _u8979), _u8977)), 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)), _u8980), _u8978)), 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)), _u8979), _u8980)), _u8978)), c_FunDef_Omax__weak)) )).
% 12.21/12.45 cnf(matrix-4161, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8981), _u8982)) | ~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)), _u8981), _u8983)), 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)), _u8982), _u8984)), 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)), _u8982), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8983), _u8984))), c_FunDef_Omin__weak)) )).
% 12.21/12.45 cnf(matrix-4162, plain, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-4163, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8986))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8986)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4164, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8987))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u8987)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8987)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-4165, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8988)) | 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))), _u8988)), c_FunDef_Omax__weak)) )).
% 12.21/12.45 cnf(matrix-4166, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4167, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4168, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8990)) )).
% 12.21/12.45 cnf(matrix-4169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8991)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8991)) )).
% 12.21/12.45 cnf(matrix-4170, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8993), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8994), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8994)) )).
% 12.21/12.45 cnf(matrix-4172, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8996)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8996))) )).
% 12.21/12.45 cnf(matrix-4173, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8997))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8997)))) )).
% 12.21/12.45 cnf(matrix-4174, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8998))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8998) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4175, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9001) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9003)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9003)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4176, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9001) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9003)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9003))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-4177, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9001) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9003)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9001))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9003))) | ( _u9001 = _u9003) )).
% 12.21/12.45 cnf(matrix-4178, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) | ( _u9002 != _u9004) )).
% 12.21/12.45 cnf(matrix-4179, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) )).
% 12.21/12.45 cnf(matrix-4180, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9002 != _u9004) )).
% 12.21/12.45 cnf(matrix-4181, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002))) )).
% 12.21/12.45 cnf(matrix-4182, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) | ( _u9002 != _u9004) )).
% 12.21/12.45 cnf(matrix-4183, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004))) )).
% 12.21/12.45 cnf(matrix-4184, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9002) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9004)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9002) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9002 != _u9004) )).
% 12.21/12.45 cnf(matrix-4185, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9008))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9008)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9010)), _u9012)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9010)), _u9012)) )).
% 12.21/12.45 cnf(matrix-4186, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9009))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9011))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9009)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9011)), _u9013)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9009)), _u9013)) )).
% 12.21/12.45 cnf(matrix-4187, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9009))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9011))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9009)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9011)), _u9013)) = 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), _u9009), _u9011))), _u9013)) )).
% 12.21/12.45 cnf(matrix-4188, 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)), _u9014), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.21/12.45 cnf(matrix-4189, plain, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.21/12.45 cnf(matrix-4190, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9017))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9017)), _u9019)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9019)) )).
% 12.21/12.45 cnf(matrix-4191, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9018))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9018)), _u9020)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9018))), _u9020)) )).
% 12.21/12.45 cnf(matrix-4192, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9022))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9022)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4193, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9023))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9023)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9023))) )).
% 12.21/12.45 cnf(matrix-4194, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9025))) | ( 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), _u9025)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-4195, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9026))) | ( 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), _u9026)) = 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), _u9026)))) )).
% 12.21/12.45 cnf(matrix-4196, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.21/12.45 cnf(matrix-4197, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.21/12.45 cnf(matrix-4198, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4199, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9028)) | ( hAPP(c_Int_Onat, _u9027) != hAPP(c_Int_Onat, _u9028)) | ( _u9027 = _u9028) )).
% 12.21/12.45 cnf(matrix-4201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9028)) | ( _u9027 != _u9028) | ( hAPP(c_Int_Onat, _u9027) = hAPP(c_Int_Onat, _u9028)) )).
% 12.21/12.45 cnf(matrix-4202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9030)) | ( hAPP(c_Int_Onat, _u9029) != hAPP(c_Int_Onat, _u9030)) | ( _u9029 = _u9030) )).
% 12.21/12.45 cnf(matrix-4203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9030)) | ( _u9029 != _u9030) | ( hAPP(c_Int_Onat, _u9029) = hAPP(c_Int_Onat, _u9030)) )).
% 12.21/12.45 cnf(matrix-4204, plain, ( ~hBOOL(hAPP(_u9036, skolem154(_u9036))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9032)) | hBOOL(hAPP(_u9036, hAPP(c_Int_Onat, _u9032))) )).
% 12.21/12.45 cnf(matrix-4205, plain, ( hBOOL(hAPP(_u9037, _u9034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem155(_u9037))) )).
% 12.21/12.45 cnf(matrix-4206, plain, ( hBOOL(hAPP(_u9037, _u9034)) | ~hBOOL(hAPP(_u9037, hAPP(c_Int_Onat, skolem155(_u9037)))) )).
% 12.21/12.45 cnf(matrix-4207, plain, ( ~hBOOL(hAPP(_u9043, _u9038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem156(_u9043))) )).
% 12.21/12.45 cnf(matrix-4208, plain, ( ~hBOOL(hAPP(_u9043, _u9038)) | hBOOL(hAPP(_u9043, hAPP(c_Int_Onat, skolem156(_u9043)))) )).
% 12.21/12.45 cnf(matrix-4209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9040)) | ~hBOOL(hAPP(_u9044, hAPP(c_Int_Onat, _u9040))) | hBOOL(hAPP(_u9044, skolem157(_u9044))) )).
% 12.21/12.45 cnf(matrix-4210, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9045) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9045))) )).
% 12.21/12.45 cnf(matrix-4211, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9046)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9046)) )).
% 12.21/12.45 cnf(matrix-4212, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4213, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9047)) | ( hAPP(c_Int_Onat, _u9047) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u9048) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4215, plain, ( ( hAPP(c_Int_Onat, _u9050) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9050), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9051), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u9051) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9054)), hAPP(c_Int_Onat, _u9056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9056)) )).
% 12.21/12.45 cnf(matrix-4218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9054)), hAPP(c_Int_Onat, _u9056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9054), _u9056)) )).
% 12.21/12.45 cnf(matrix-4219, plain, ( ~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(tc_Int_Oint), _u9055), _u9057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9055)), hAPP(c_Int_Onat, _u9057))) )).
% 12.21/12.45 cnf(matrix-4220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9059)), hAPP(c_Int_Onat, _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9059), _u9058)) )).
% 12.21/12.45 cnf(matrix-4221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9059), _u9058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9059)), hAPP(c_Int_Onat, _u9058))) )).
% 12.21/12.45 cnf(matrix-4222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9060)), hAPP(c_Int_Onat, _u9061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9060), _u9061)) )).
% 12.21/12.45 cnf(matrix-4223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9060), _u9061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9060)), hAPP(c_Int_Onat, _u9061))) )).
% 12.21/12.45 cnf(matrix-4224, plain, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-4225, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u9062) = 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), _u9062), c_Int_Onat))))) )).
% 12.21/12.45 cnf(matrix-4226, plain, ( ( c_Int_Osucc(_u9063) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9063), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u9065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9065)) )).
% 12.21/12.45 cnf(matrix-4228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u9066))) )).
% 12.21/12.45 cnf(matrix-4229, 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_Nat_Onat), hAPP(c_Int_Onat, _u9067)), hAPP(c_Int_Onat, _u9068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9067), _u9068)) )).
% 12.21/12.45 cnf(matrix-4230, 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)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9067)), hAPP(c_Int_Onat, _u9068))) )).
% 12.21/12.45 cnf(matrix-4231, 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__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9069)), hAPP(c_Int_Onat, _u9070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9069), _u9070)) )).
% 12.21/12.45 cnf(matrix-4232, 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__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9069), _u9070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u9069)), hAPP(c_Int_Onat, _u9070))) )).
% 12.21/12.45 cnf(matrix-4233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) )).
% 12.21/12.45 cnf(matrix-4234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) )).
% 12.21/12.45 cnf(matrix-4235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) )).
% 12.21/12.45 cnf(matrix-4236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9071), _u9072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u9071)), hAPP(c_Int_Onat, _u9072))) )).
% 12.21/12.45 cnf(matrix-4237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9074)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9073), _u9074)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9073)), hAPP(c_Int_Onat, _u9074))) )).
% 12.21/12.45 cnf(matrix-4238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9076)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9075)), hAPP(c_Int_Onat, _u9076)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9075), _u9076))) )).
% 12.21/12.45 cnf(matrix-4239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9077)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9077), _u9078)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u9077)), hAPP(c_Int_Onat, _u9078))) )).
% 12.21/12.45 cnf(matrix-4240, plain, ( ~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)), _u9080)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u9079)), hAPP(c_Int_Onat, _u9080)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9079), _u9080))) )).
% 12.21/12.45 cnf(matrix-4241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9081)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9081), _u9082)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9082), _u9081)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9082)), hAPP(c_Int_Onat, _u9081))) )).
% 12.21/12.45 cnf(matrix-4242, plain, ( ~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__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9084)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9083, _u9084)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9083), hAPP(c_Int_Onat, _u9084))) )).
% 12.21/12.45 cnf(matrix-4243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9086)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9085), hAPP(c_Int_Onat, _u9086)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9085, _u9086))) )).
% 12.21/12.45 cnf(matrix-4244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9087)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9087), _u9088)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9087)), hAPP(c_Int_Onat, _u9088))) )).
% 12.21/12.45 cnf(matrix-4245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9090)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9089)), hAPP(c_Int_Onat, _u9090)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9089), _u9090))) )).
% 12.21/12.45 cnf(matrix-4246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9091)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9091)), _u9092) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9091), _u9092))) )).
% 12.21/12.45 cnf(matrix-4247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9093)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9093), _u9094)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9093)), _u9094)) )).
% 12.21/12.45 cnf(matrix-4248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9096)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9095)), hAPP(c_Int_Onat, _u9096)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u9095, _u9096))) )).
% 12.21/12.45 cnf(matrix-4249, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9099)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9101)), hAPP(c_Int_Onat, _u9099)) = hAPP(c_Int_Onat, _u9101)) )).
% 12.21/12.45 cnf(matrix-4250, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9100)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9102)), hAPP(c_Int_Onat, _u9100)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9102), _u9100)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.21/12.45 cnf(matrix-4251, 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, _u9104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9104)) )).
% 12.21/12.45 cnf(matrix-4252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9105)) | 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, _u9105))) )).
% 12.21/12.45 cnf(matrix-4253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9106)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u9106)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9106))) )).
% 12.21/12.45 cnf(matrix-4254, plain, ( ~class_Int_Onumber__ring(_u9107) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9107), c_Int_Osucc(_u9108)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9107), c_Groups_Oone__class_Oone(_u9107)), hAPP(c_Int_Onumber__class_Onumber__of(_u9107), _u9108))) )).
% 12.21/12.45 cnf(matrix-4255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9109), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9109), _u9110)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9109))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9110)))) )).
% 12.21/12.45 cnf(matrix-4256, plain, ( ~c_FunDef_Oreduction__pair(_u9111, _u9112) | c_FunDef_Oreduction__pair(_u9113, hAPP(hAPP(c_FunDef_Orp__inv__image(_u9111, _u9113), _u9112), _u9114)) )).
% 12.21/12.45 cnf(matrix-4257, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9117))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9117), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9119)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4258, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9118))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9120))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9120)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9118)) )).
% 12.21/12.45 cnf(matrix-4259, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9118))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9120))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9120)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9118), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9120)))) )).
% 12.21/12.45 cnf(matrix-4260, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9123))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9123)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9125)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4261, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9124))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9124)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9126)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9124)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9126)))) )).
% 12.21/12.45 cnf(matrix-4262, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9129))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9129)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9131)) = 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), _u9131))) )).
% 12.21/12.45 cnf(matrix-4263, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9130))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9130)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9132)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9130)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9132)))) )).
% 12.21/12.45 cnf(matrix-4264, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9135))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9135)), _u9137) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9137)) )).
% 12.21/12.45 cnf(matrix-4265, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9136))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9136)), _u9138) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9136)), _u9138))) )).
% 12.21/12.45 cnf(matrix-4266, 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), _u9139)) = 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), _u9139)))) )).
% 12.21/12.45 cnf(matrix-4267, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.21/12.45 cnf(matrix-4268, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.21/12.45 cnf(matrix-4269, plain, ( ( c_Int_Onat__aux(_u9140, _u9141) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u9140)), _u9141)) )).
% 12.21/12.45 cnf(matrix-4270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9144), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9146)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9144)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9146)) )).
% 12.21/12.45 cnf(matrix-4271, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9145), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9147)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9145)) = 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), _u9147), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9145)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.21/12.45 cnf(matrix-4272, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9150)), hAPP(c_Nat_OSuc, _u9152))) | 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(_u9150))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9152)))) )).
% 12.21/12.45 cnf(matrix-4274, 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(_u9151))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9153)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9151)), hAPP(c_Nat_OSuc, _u9153))) )).
% 12.21/12.45 cnf(matrix-4275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9156)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9158))) | 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(_u9158))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9156)), c_Int_Onat))))) )).
% 12.21/12.45 cnf(matrix-4276, 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(_u9159))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9157)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9157)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9159))) )).
% 12.21/12.45 cnf(matrix-4277, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9160), c_Int_OPls) = _u9160) )).
% 12.21/12.45 cnf(matrix-4278, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4279, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4281, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-4282, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u9161) = c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4283, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9162), c_Int_OPls) = _u9162) )).
% 12.21/12.45 cnf(matrix-4284, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u9163) = _u9163) )).
% 12.21/12.45 cnf(matrix-4285, plain, ( ( c_Int_OBit1(_u9164) != c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4286, plain, ( ( c_Int_OPls != c_Int_OBit1(_u9165)) )).
% 12.21/12.45 cnf(matrix-4287, plain, ( ( c_Int_Osucc(c_Int_Opred(_u9166)) = _u9166) )).
% 12.21/12.45 cnf(matrix-4288, plain, ( ~class_Int_Onumber__ring(_u9167) | ( c_Groups_Ozero__class_Ozero(_u9167) = hAPP(c_Int_Onumber__class_Onumber__of(_u9167), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4289, plain, ( ~class_Int_Onumber__ring(_u9168) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9168), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u9168)) )).
% 12.21/12.45 cnf(matrix-4290, plain, ( ~class_Int_Onumber__ring(_u9169) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9169), hAPP(c_Int_Onumber__class_Onumber__of(_u9169), c_Int_OPls)), _u9170) = _u9170) )).
% 12.21/12.45 cnf(matrix-4291, plain, ( ~class_Int_Onumber__ring(_u9171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9171), _u9172), hAPP(c_Int_Onumber__class_Onumber__of(_u9171), c_Int_OPls)) = _u9172) )).
% 12.21/12.45 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4293, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4294, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4295, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9174)) )).
% 12.21/12.45 cnf(matrix-4297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9175))) )).
% 12.21/12.45 cnf(matrix-4298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9177)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9177), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9178), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9178)), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9179)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9180)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9179)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9180), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u9179)))) )).
% 12.21/12.45 cnf(matrix-4301, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4302, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9183), _u9185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u9183)), _u9185)) )).
% 12.21/12.45 cnf(matrix-4304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u9184)), _u9186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9184), _u9186)) )).
% 12.21/12.45 cnf(matrix-4305, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u9187)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9187)))) )).
% 12.21/12.45 cnf(matrix-4306, plain, ( ( c_Int_Opred(_u9188) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9188), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9190), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9190)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4308, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9191), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9191)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u9191))) )).
% 12.21/12.45 cnf(matrix-4309, plain, ( ~class_Int_Onumber__ring(_u9192) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9192), _u9193), hAPP(c_Int_Onumber__class_Onumber__of(_u9192), c_Int_OBit1(c_Int_OPls))) = _u9193) )).
% 12.21/12.45 cnf(matrix-4310, plain, ( ~class_Int_Onumber__ring(_u9194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9194), hAPP(c_Int_Onumber__class_Onumber__of(_u9194), c_Int_OBit1(c_Int_OPls))), _u9195) = _u9195) )).
% 12.21/12.45 cnf(matrix-4311, plain, ( ~class_Fields_Ofield__inverse__zero(_u9196) | ~class_Int_Onumber__ring(_u9196) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9196), _u9197), hAPP(c_Int_Onumber__class_Onumber__of(_u9196), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u9196)) )).
% 12.21/12.45 cnf(matrix-4312, plain, ( ~class_Int_Onumber__ring(_u9198) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9198), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u9198)) )).
% 12.21/12.45 cnf(matrix-4313, plain, ( ~class_Int_Onumber__ring(_u9199) | ( c_Groups_Oone__class_Oone(_u9199) = hAPP(c_Int_Onumber__class_Onumber__of(_u9199), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4314, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9201), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9202), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9202)) )).
% 12.21/12.45 cnf(matrix-4316, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9204) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9204), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9205), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9205) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9207)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9207), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9208), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9208)), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9210)) )).
% 12.21/12.45 cnf(matrix-4321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9211))) )).
% 12.21/12.45 cnf(matrix-4322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9214), _u9216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9216)) )).
% 12.21/12.45 cnf(matrix-4323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9214)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9214), _u9216)) )).
% 12.21/12.45 cnf(matrix-4324, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9215)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9217))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9215), _u9217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9217)) )).
% 12.21/12.45 cnf(matrix-4325, plain, ( ~class_Fields_Ofield(_u9218) | ~class_Int_Onumber__ring(_u9218) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9218), _u9219), hAPP(c_Int_Onumber__class_Onumber__of(_u9218), c_Int_OBit1(c_Int_OPls))) = _u9219) )).
% 12.21/12.45 cnf(matrix-4326, plain, ( ~class_Fields_Ofield(_u9220) | ~class_Int_Onumber__ring(_u9220) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9220), _u9221), hAPP(c_Int_Onumber__class_Onumber__of(_u9220), c_Int_OBit1(c_Int_OPls))) = _u9221) )).
% 12.21/12.45 cnf(matrix-4327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9224), _u9226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9224), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4328, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9225), _u9227)) )).
% 12.21/12.45 cnf(matrix-4329, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9225), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4330, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4331, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4332, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4333, plain, ( ~class_Int_Onumber__ring(_u9228) | ~class_Rings_Olinordered__idom(_u9228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9228), c_Groups_Ozero__class_Ozero(_u9228)), hAPP(c_Int_Onumber__class_Onumber__of(_u9228), _u9229))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9229)) )).
% 12.21/12.45 cnf(matrix-4334, plain, ( ~class_Int_Onumber__ring(_u9228) | ~class_Rings_Olinordered__idom(_u9228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9228), c_Groups_Ozero__class_Ozero(_u9228)), hAPP(c_Int_Onumber__class_Onumber__of(_u9228), _u9229))) )).
% 12.21/12.45 cnf(matrix-4335, plain, ( ~class_Int_Onumber__ring(_u9230) | ~class_Rings_Olinordered__idom(_u9230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(c_Int_Onumber__class_Onumber__of(_u9230), _u9231)), c_Groups_Ozero__class_Ozero(_u9230))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9231), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4336, plain, ( ~class_Int_Onumber__ring(_u9230) | ~class_Rings_Olinordered__idom(_u9230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9231), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(c_Int_Onumber__class_Onumber__of(_u9230), _u9231)), c_Groups_Ozero__class_Ozero(_u9230))) )).
% 12.21/12.45 cnf(matrix-4337, plain, ( ~class_Int_Onumber__ring(_u9232) | ~class_Rings_Olinordered__idom(_u9232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9232), c_Groups_Ozero__class_Ozero(_u9232)), hAPP(c_Int_Onumber__class_Onumber__of(_u9232), _u9233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9233)) )).
% 12.21/12.45 cnf(matrix-4338, plain, ( ~class_Int_Onumber__ring(_u9232) | ~class_Rings_Olinordered__idom(_u9232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9232), c_Groups_Ozero__class_Ozero(_u9232)), hAPP(c_Int_Onumber__class_Onumber__of(_u9232), _u9233))) )).
% 12.21/12.45 cnf(matrix-4339, plain, ( ~class_Int_Onumber__ring(_u9234) | ~class_Rings_Olinordered__idom(_u9234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9234), hAPP(c_Int_Onumber__class_Onumber__of(_u9234), _u9235)), c_Groups_Ozero__class_Ozero(_u9234))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9235), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4340, plain, ( ~class_Int_Onumber__ring(_u9234) | ~class_Rings_Olinordered__idom(_u9234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9235), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9234), hAPP(c_Int_Onumber__class_Onumber__of(_u9234), _u9235)), c_Groups_Ozero__class_Ozero(_u9234))) )).
% 12.21/12.45 cnf(matrix-4341, 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), _u9237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9237)) )).
% 12.21/12.45 cnf(matrix-4342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9238)) | 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), _u9238))) )).
% 12.21/12.45 cnf(matrix-4343, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-4344, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.45 cnf(matrix-4345, plain, ( ~class_Groups_Omonoid__mult(_u9239) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9239), _u9240), 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(_u9239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9239), _u9240), _u9240)), _u9240)) )).
% 12.21/12.45 cnf(matrix-4346, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4347, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9241))) = 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)))), _u9241)) )).
% 12.21/12.45 cnf(matrix-4348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9244), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9244)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9246)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9246)) )).
% 12.21/12.45 cnf(matrix-4349, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9245), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9247), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9245)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9247)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9245)) )).
% 12.21/12.45 cnf(matrix-4350, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9245), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9247), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9245)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9247)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9245), _u9247))) )).
% 12.21/12.45 cnf(matrix-4351, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4352, plain, ( ~class_Int_Onumber__ring(_u9248) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9248), c_Int_Opred(_u9249)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9248), hAPP(c_Groups_Ouminus__class_Ouminus(_u9248), c_Groups_Oone__class_Oone(_u9248))), hAPP(c_Int_Onumber__class_Onumber__of(_u9248), _u9249))) )).
% 12.21/12.45 cnf(matrix-4353, plain, ( ~class_Int_Onumber__ring(_u9250) | ~class_Rings_Olinordered__idom(_u9250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9250), c_Groups_Oone__class_Oone(_u9250)), hAPP(c_Int_Onumber__class_Onumber__of(_u9250), _u9251))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9251)) )).
% 12.21/12.45 cnf(matrix-4354, plain, ( ~class_Int_Onumber__ring(_u9250) | ~class_Rings_Olinordered__idom(_u9250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9250), c_Groups_Oone__class_Oone(_u9250)), hAPP(c_Int_Onumber__class_Onumber__of(_u9250), _u9251))) )).
% 12.21/12.45 cnf(matrix-4355, plain, ( ~class_Int_Onumber__ring(_u9252) | ~class_Rings_Olinordered__idom(_u9252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9252), hAPP(c_Int_Onumber__class_Onumber__of(_u9252), _u9253)), c_Groups_Oone__class_Oone(_u9252))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9253), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4356, plain, ( ~class_Int_Onumber__ring(_u9252) | ~class_Rings_Olinordered__idom(_u9252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9253), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9252), hAPP(c_Int_Onumber__class_Onumber__of(_u9252), _u9253)), c_Groups_Oone__class_Oone(_u9252))) )).
% 12.21/12.45 cnf(matrix-4357, plain, ( ~class_Int_Onumber__ring(_u9254) | ~class_Rings_Olinordered__idom(_u9254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9254), c_Groups_Oone__class_Oone(_u9254)), hAPP(c_Int_Onumber__class_Onumber__of(_u9254), _u9255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9255)) )).
% 12.21/12.45 cnf(matrix-4358, plain, ( ~class_Int_Onumber__ring(_u9254) | ~class_Rings_Olinordered__idom(_u9254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9254), c_Groups_Oone__class_Oone(_u9254)), hAPP(c_Int_Onumber__class_Onumber__of(_u9254), _u9255))) )).
% 12.21/12.45 cnf(matrix-4359, plain, ( ~class_Int_Onumber__ring(_u9256) | ~class_Rings_Olinordered__idom(_u9256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9256), hAPP(c_Int_Onumber__class_Onumber__of(_u9256), _u9257)), c_Groups_Oone__class_Oone(_u9256))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9257), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4360, plain, ( ~class_Int_Onumber__ring(_u9256) | ~class_Rings_Olinordered__idom(_u9256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9257), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9256), hAPP(c_Int_Onumber__class_Onumber__of(_u9256), _u9257)), c_Groups_Oone__class_Oone(_u9256))) )).
% 12.21/12.45 cnf(matrix-4361, plain, ( ~class_Int_Onumber__ring(_u9258) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9258), c_Groups_Oone__class_Oone(_u9258)), hAPP(c_Int_Onumber__class_Onumber__of(_u9258), _u9259)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9258), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u9259))) )).
% 12.21/12.45 cnf(matrix-4362, plain, ( ~class_Int_Onumber__ring(_u9260) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9260), hAPP(c_Int_Onumber__class_Onumber__of(_u9260), _u9261)), c_Groups_Oone__class_Oone(_u9260)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9261), c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.45 cnf(matrix-4363, 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)), _u9262)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9263)), _u9262) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9263), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9266), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9266)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9268)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4365, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9267), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9267)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9269)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9267), _u9269))) )).
% 12.21/12.45 cnf(matrix-4366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9273), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9275)), _u9277)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4367, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9274), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9276)), _u9278)) = 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), _u9274), _u9276))), _u9278)) )).
% 12.21/12.45 cnf(matrix-4368, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9280)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9280) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4369, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9281) != 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(_u9281)))) )).
% 12.21/12.45 cnf(matrix-4370, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9282))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9283)) = 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)))), _u9282), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9283))) )).
% 12.21/12.45 cnf(matrix-4371, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9284))), _u9285) = 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)))), _u9284), _u9285)) )).
% 12.21/12.45 cnf(matrix-4372, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9286, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9287)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9286, 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)))), _u9287))) )).
% 12.21/12.45 cnf(matrix-4373, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9288)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9289)) = 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)))), _u9288)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9289))) )).
% 12.21/12.45 cnf(matrix-4374, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9290)))), _u9291) = 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)))), _u9290)), _u9291)) )).
% 12.21/12.45 cnf(matrix-4375, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9292), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9293)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9292), 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)))), _u9293))) )).
% 12.21/12.45 cnf(matrix-4376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9295), 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), _u9295)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4377, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9296), 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), _u9296)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9296))) )).
% 12.21/12.45 cnf(matrix-4378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9298), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9298)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4379, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9299), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9299)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u9299))) )).
% 12.21/12.45 cnf(matrix-4380, plain, ( ~class_Int_Onumber__ring(_u9300) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9300), hAPP(c_Int_Onumber__class_Onumber__of(_u9300), _u9301)), c_Groups_Oone__class_Oone(_u9300)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9300), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4381, plain, ( ~class_Int_Onumber__ring(_u9302) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9302), c_Groups_Oone__class_Oone(_u9302)), hAPP(c_Int_Onumber__class_Onumber__of(_u9302), _u9303)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9302), 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), _u9303)))) )).
% 12.21/12.45 cnf(matrix-4382, plain, ( ( hAPP(c_Nat_OSuc, _u9306) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9308)) | 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(_u9308))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9306))))) )).
% 12.21/12.45 cnf(matrix-4383, 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(_u9309))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9307))))) | ( hAPP(c_Nat_OSuc, _u9307) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9309)) )).
% 12.21/12.45 cnf(matrix-4384, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9312) != hAPP(c_Nat_OSuc, _u9314)) | 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(_u9312))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9314))))) )).
% 12.21/12.45 cnf(matrix-4385, 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(_u9313))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9315))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9313) = hAPP(c_Nat_OSuc, _u9315)) )).
% 12.21/12.45 cnf(matrix-4386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9318)), hAPP(c_Nat_OSuc, _u9320))) | 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(_u9318))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9320)))) )).
% 12.21/12.45 cnf(matrix-4387, 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(_u9319))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u9321)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9319)), hAPP(c_Nat_OSuc, _u9321))) )).
% 12.21/12.45 cnf(matrix-4388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9324)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9326))) | 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(_u9326))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9324)), c_Int_Onat))))) )).
% 12.21/12.45 cnf(matrix-4389, 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(_u9327))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u9325)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9325)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9327))) )).
% 12.21/12.45 cnf(matrix-4390, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4391, plain, ( ( c_Nat_Onat_Onat__case(_u9328, _u9329, _u9330, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9331)), _u9332)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9328), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9331))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9328, _u9328), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9328, tc_fun(_u9328, _u9328)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9328, tc_fun(_u9328, _u9328)), tc_Int_Oint), c_If(_u9328)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u9328, _u9329, _u9330, _u9332))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9328, tc_Int_Oint), _u9330), 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)), _u9332))))) )).
% 12.21/12.45 cnf(matrix-4392, plain, ( ( c_Nat_Onat_Onat__case(_u9333, _u9334, _u9335, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9336)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9333), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9336))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9333, _u9333), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9333, tc_fun(_u9333, _u9333)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9333, tc_fun(_u9333, _u9333)), tc_Int_Oint), c_If(_u9333)), c_Nat__Numeral_Oneg)), _u9334)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9333, tc_Int_Oint), _u9335), c_Int_Onat)))) )).
% 12.21/12.45 cnf(matrix-4393, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9337, _u9338, _u9339), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9340)), _u9341)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9337), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9340))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9337, _u9337), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9337, tc_fun(_u9337, _u9337)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9337, tc_fun(_u9337, _u9337)), tc_Int_Oint), c_If(_u9337)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u9337, _u9338, _u9339), _u9341))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9337, _u9337), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u9337, _u9337), tc_Int_Oint), _u9339), 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)), _u9341))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9337, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u9337, _u9338, _u9339)), 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)), _u9341)))))) )).
% 12.21/12.45 cnf(matrix-4394, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9342, _u9343, _u9344), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9343) )).
% 12.21/12.45 cnf(matrix-4395, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9345, _u9346, _u9347), hAPP(c_Nat_OSuc, _u9348)) = hAPP(hAPP(_u9347, _u9348), hAPP(c_Nat_Onat_Onat__rec(_u9345, _u9346, _u9347), _u9348))) )).
% 12.21/12.45 cnf(matrix-4396, plain, ( ( c_Nat_Onat_Onat__case(_u9349, _u9350, _u9351, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9350) )).
% 12.21/12.45 cnf(matrix-4397, plain, ( ( c_Nat_Onat_Onat__case(_u9352, _u9353, _u9354, hAPP(c_Nat_OSuc, _u9355)) = hAPP(_u9354, _u9355)) )).
% 12.21/12.45 cnf(matrix-4398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9358)), _u9360)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9358), _u9360)) )).
% 12.21/12.45 cnf(matrix-4399, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9359), _u9361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9359)), _u9361)) )).
% 12.21/12.45 cnf(matrix-4400, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9362), hAPP(c_Nat_OSuc, _u9363)) = 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), _u9362), _u9363))) )).
% 12.21/12.45 cnf(matrix-4401, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u9364, _u9365, _u9366), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9367)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u9364), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u9367))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9364, _u9364), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u9364, tc_fun(_u9364, _u9364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9364, tc_fun(_u9364, _u9364)), tc_Int_Oint), c_If(_u9364)), c_Nat__Numeral_Oneg)), _u9365)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u9364, _u9364), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u9364, _u9364), tc_Int_Oint), _u9366), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9364, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u9364, _u9365, _u9366)), c_Int_Onat))))) )).
% 12.21/12.45 cnf(matrix-4402, plain, ( ~class_Int_Onumber__ring(_u9368) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9368), _u9369) != c_Groups_Oone__class_Oone(_u9368)) | c_Int_Oiszero(_u9368, hAPP(c_Int_Onumber__class_Onumber__of(_u9368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9369), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4403, plain, ( ~class_Int_Onumber__ring(_u9368) | ~c_Int_Oiszero(_u9368, hAPP(c_Int_Onumber__class_Onumber__of(_u9368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9369), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9368), _u9369) = c_Groups_Oone__class_Oone(_u9368)) )).
% 12.21/12.45 cnf(matrix-4404, plain, ( ~class_Int_Onumber__ring(_u9370) | ( c_Groups_Oone__class_Oone(_u9370) != hAPP(c_Int_Onumber__class_Onumber__of(_u9370), _u9371)) | c_Int_Oiszero(_u9370, hAPP(c_Int_Onumber__class_Onumber__of(_u9370), 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), _u9371)))) )).
% 12.21/12.45 cnf(matrix-4405, plain, ( ~class_Int_Onumber__ring(_u9370) | ~c_Int_Oiszero(_u9370, hAPP(c_Int_Onumber__class_Onumber__of(_u9370), 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), _u9371)))) | ( c_Groups_Oone__class_Oone(_u9370) = hAPP(c_Int_Onumber__class_Onumber__of(_u9370), _u9371)) )).
% 12.21/12.45 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9372), 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)))), _u9373)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9372)) = 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), _u9373), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9372))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4407, 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), _u9376))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9378)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9376))) = 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), _u9378), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9376)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4408, 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), _u9377))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9379)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9377))) = 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), _u9379)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9377)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4409, plain, ( ~class_Int_Onumber__ring(_u9380) | ~class_Int_Oring__char__0(_u9380) | ~c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), c_Int_OBit0(_u9381))) | c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), _u9381)) )).
% 12.21/12.45 cnf(matrix-4410, plain, ( ~class_Int_Onumber__ring(_u9380) | ~class_Int_Oring__char__0(_u9380) | ~c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), _u9381)) | c_Int_Oiszero(_u9380, hAPP(c_Int_Onumber__class_Onumber__of(_u9380), c_Int_OBit0(_u9381))) )).
% 12.21/12.45 cnf(matrix-4411, plain, ( ( c_Int_OBit1(_u9382) != c_Int_OBit0(_u9383)) )).
% 12.21/12.45 cnf(matrix-4412, plain, ( ( c_Int_OBit0(_u9384) != c_Int_OBit1(_u9385)) )).
% 12.21/12.45 cnf(matrix-4413, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u9386)), c_Int_OBit0(_u9387)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9386), _u9387))) )).
% 12.21/12.45 cnf(matrix-4414, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u9388)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9388))) )).
% 12.21/12.45 cnf(matrix-4415, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u9389)), _u9390) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9389), _u9390))) )).
% 12.21/12.45 cnf(matrix-4416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9393)), c_Int_OBit0(_u9395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9393), _u9395)) )).
% 12.21/12.45 cnf(matrix-4417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9394), _u9396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9394)), c_Int_OBit0(_u9396))) )).
% 12.21/12.45 cnf(matrix-4418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9399)), c_Int_OBit0(_u9401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9399), _u9401)) )).
% 12.21/12.45 cnf(matrix-4419, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9400), _u9402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9400)), c_Int_OBit0(_u9402))) )).
% 12.21/12.45 cnf(matrix-4420, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9405)), c_Int_OBit0(_u9407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9405), _u9407)) )).
% 12.21/12.45 cnf(matrix-4421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), _u9408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9406)), c_Int_OBit0(_u9408))) )).
% 12.21/12.45 cnf(matrix-4422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9411)), c_Int_OBit0(_u9413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9411), _u9413)) )).
% 12.21/12.45 cnf(matrix-4423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9412), _u9414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9412)), c_Int_OBit0(_u9414))) )).
% 12.21/12.45 cnf(matrix-4424, plain, ( ( c_Int_OBit0(_u9417) != c_Int_OBit0(_u9419)) | ( _u9417 = _u9419) )).
% 12.21/12.45 cnf(matrix-4425, plain, ( ( _u9418 != _u9420) | ( c_Int_OBit0(_u9418) = c_Int_OBit0(_u9420)) )).
% 12.21/12.45 cnf(matrix-4426, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u9421)), c_Int_OBit0(_u9422)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9421), _u9422))) )).
% 12.21/12.45 cnf(matrix-4427, plain, ( ( c_Int_OBit0(_u9423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9423), _u9423)) )).
% 12.21/12.45 cnf(matrix-4428, plain, ( ( c_Int_OBit0(_u9425) != c_Int_OPls) | ( _u9425 = c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4429, plain, ( ( _u9426 != c_Int_OPls) | ( c_Int_OBit0(_u9426) = c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4430, plain, ( ( c_Int_OPls != c_Int_OBit0(_u9428)) | ( c_Int_OPls = _u9428) )).
% 12.21/12.45 cnf(matrix-4431, plain, ( ( c_Int_OPls != _u9429) | ( c_Int_OPls = c_Int_OBit0(_u9429)) )).
% 12.21/12.45 cnf(matrix-4432, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4433, plain, ( ~class_Rings_Osemiring__1(_u9430) | ~c_Int_Oiszero(_u9430, _u9431) | ( _u9431 = c_Groups_Ozero__class_Ozero(_u9430)) )).
% 12.21/12.45 cnf(matrix-4434, plain, ( ~class_Rings_Osemiring__1(_u9430) | ( _u9431 != c_Groups_Ozero__class_Ozero(_u9430)) | c_Int_Oiszero(_u9430, _u9431) )).
% 12.21/12.45 cnf(matrix-4435, plain, ( ~class_Rings_Osemiring__1(_u9432) | c_Int_Oiszero(_u9432, c_Groups_Ozero__class_Ozero(_u9432)) )).
% 12.21/12.45 cnf(matrix-4436, plain, ( ~class_Rings_Osemiring__1(_u9433) | ~c_Int_Oiszero(_u9433, c_Groups_Oone__class_Oone(_u9433)) )).
% 12.21/12.45 cnf(matrix-4437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9435)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9435), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9436), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9436)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9438)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9438), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9439), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9439)), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9441)) )).
% 12.21/12.45 cnf(matrix-4442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u9442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9442))) )).
% 12.21/12.45 cnf(matrix-4443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9445)), c_Int_OBit1(_u9447))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9445), _u9447)) )).
% 12.21/12.45 cnf(matrix-4444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9446), _u9448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9446)), c_Int_OBit1(_u9448))) )).
% 12.21/12.45 cnf(matrix-4445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9451)), c_Int_OBit1(_u9453))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9451), _u9453)) )).
% 12.21/12.45 cnf(matrix-4446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9452), _u9454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9452)), c_Int_OBit1(_u9454))) )).
% 12.21/12.45 cnf(matrix-4447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9456))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9456)) )).
% 12.21/12.45 cnf(matrix-4448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u9457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9457))) )).
% 12.21/12.45 cnf(matrix-4449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9459)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9459), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9460), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9460)), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4451, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9463)), c_Int_OBit0(_u9465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9463), _u9465)) )).
% 12.21/12.45 cnf(matrix-4452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9464), _u9466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9464)), c_Int_OBit0(_u9466))) )).
% 12.21/12.45 cnf(matrix-4453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9469)), c_Int_OBit0(_u9471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9469), _u9471)) )).
% 12.21/12.45 cnf(matrix-4454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9470), _u9472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9470)), c_Int_OBit0(_u9472))) )).
% 12.21/12.45 cnf(matrix-4455, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u9473)), c_Int_OBit0(_u9474)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9473), _u9474))) )).
% 12.21/12.45 cnf(matrix-4456, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u9475)), c_Int_OBit1(_u9476)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9475), _u9476))) )).
% 12.21/12.45 cnf(matrix-4457, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u9477)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u9477))) )).
% 12.21/12.45 cnf(matrix-4458, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u9478)), c_Int_OBit1(_u9479)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9478), _u9479))) )).
% 12.21/12.45 cnf(matrix-4459, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u9480)), c_Int_OBit0(_u9481)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9480), _u9481))) )).
% 12.21/12.45 cnf(matrix-4460, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9482))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9483))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9482)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9483))) )).
% 12.21/12.45 cnf(matrix-4461, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9485)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9485))) )).
% 12.21/12.45 cnf(matrix-4462, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9486))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9486)))) )).
% 12.21/12.45 cnf(matrix-4463, plain, ( ( c_Int_Opred(c_Int_OBit0(_u9487)) = c_Int_OBit1(c_Int_Opred(_u9487))) )).
% 12.21/12.45 cnf(matrix-4464, plain, ( ( c_Int_Opred(c_Int_OBit1(_u9488)) = c_Int_OBit0(_u9488)) )).
% 12.21/12.45 cnf(matrix-4465, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u9489)) = c_Int_OBit0(c_Int_Osucc(_u9489))) )).
% 12.21/12.45 cnf(matrix-4466, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u9490)) = c_Int_OBit1(_u9490)) )).
% 12.21/12.45 cnf(matrix-4467, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9491)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9491)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-4468, plain, ( ~class_Int_Onumber__ring(_u9492) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9492), c_Int_OBit0(_u9493)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9492), c_Groups_Ozero__class_Ozero(_u9492)), hAPP(c_Int_Onumber__class_Onumber__of(_u9492), _u9493))), hAPP(c_Int_Onumber__class_Onumber__of(_u9492), _u9493))) )).
% 12.21/12.45 cnf(matrix-4469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9496)), c_Int_OBit0(_u9498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9496), _u9498)) )).
% 12.21/12.45 cnf(matrix-4470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9497), _u9499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9497)), c_Int_OBit0(_u9499))) )).
% 12.21/12.45 cnf(matrix-4471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9502)), c_Int_OBit0(_u9504))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9502), _u9504)) )).
% 12.21/12.45 cnf(matrix-4472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9503), _u9505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9503)), c_Int_OBit0(_u9505))) )).
% 12.21/12.45 cnf(matrix-4473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9508)), c_Int_OBit1(_u9510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9508), _u9510)) )).
% 12.21/12.45 cnf(matrix-4474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9509), _u9511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9509)), c_Int_OBit1(_u9511))) )).
% 12.21/12.45 cnf(matrix-4475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9514)), c_Int_OBit1(_u9516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9514), _u9516)) )).
% 12.21/12.45 cnf(matrix-4476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9515), _u9517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9515)), c_Int_OBit1(_u9517))) )).
% 12.21/12.45 cnf(matrix-4477, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.45 cnf(matrix-4478, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u9518)), _u9519) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9518), _u9519))), _u9519)) )).
% 12.21/12.45 cnf(matrix-4479, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u9520)), c_Int_OBit1(_u9521)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u9520)), _u9521))) )).
% 12.21/12.45 cnf(matrix-4480, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u9522)), c_Int_OBit1(_u9523)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9522), c_Int_Osucc(_u9523)))) )).
% 12.21/12.45 cnf(matrix-4481, plain, ( ~class_Int_Onumber__ring(_u9524) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9526))) = hAPP(hAPP(c_HOL_OLet(_u9524, _u9524), hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9525), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9526))), hAPP(hAPP(c_COMBS(_u9524, _u9524, _u9524), c_Groups_Otimes__class_Otimes(_u9524)), c_COMBI(_u9524)))) )).
% 12.21/12.45 cnf(matrix-4482, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9527), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9528))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9527), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9528))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.45 cnf(matrix-4483, plain, ( ~class_Int_Onumber__ring(_u9529) | c_Int_Oiszero(_u9529, hAPP(c_Int_Onumber__class_Onumber__of(_u9529), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4484, plain, ( ~class_Int_Onumber__ring(_u9530) | ~class_Int_Oring__char__0(_u9530) | ~c_Int_Oiszero(_u9530, hAPP(c_Int_Onumber__class_Onumber__of(_u9530), c_Int_OBit1(_u9531))) )).
% 12.21/12.45 cnf(matrix-4485, plain, ( ~class_Int_Onumber__ring(_u9532) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9532), c_Groups_Oone__class_Oone(_u9532)), c_Groups_Oone__class_Oone(_u9532))), hAPP(c_Int_Onumber__class_Onumber__of(_u9532), _u9533)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9532), c_Int_OBit0(_u9533))) )).
% 12.21/12.45 cnf(matrix-4486, 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), _u9534))) | 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(_u9534)))) )).
% 12.21/12.45 cnf(matrix-4487, 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), _u9534))) | 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(_u9534)))) )).
% 12.21/12.45 cnf(matrix-4488, plain, ( ~class_Int_Onumber__ring(_u9535) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9535), hAPP(c_Int_Onumber__class_Onumber__of(_u9535), _u9536)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9537))) = hAPP(hAPP(c_HOL_OLet(_u9535, _u9535), hAPP(hAPP(c_Power_Opower__class_Opower(_u9535), hAPP(c_Int_Onumber__class_Onumber__of(_u9535), _u9536)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9537))), hAPP(hAPP(c_COMBS(_u9535, _u9535, _u9535), c_Groups_Otimes__class_Otimes(_u9535)), c_COMBI(_u9535)))) )).
% 12.21/12.45 cnf(matrix-4489, plain, ( ~class_Int_Onumber__ring(_u9538) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9538), hAPP(c_Int_Onumber__class_Onumber__of(_u9538), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9539) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9538), _u9539), _u9539)) )).
% 12.21/12.45 cnf(matrix-4490, plain, ( ~class_Int_Onumber__ring(_u9540) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9540), _u9541), hAPP(c_Int_Onumber__class_Onumber__of(_u9540), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9540), _u9541), _u9541)) )).
% 12.21/12.45 cnf(matrix-4491, plain, ( ~class_Int_Onumber__ring(_u9542) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9542), c_Groups_Oone__class_Oone(_u9542)), c_Groups_Oone__class_Oone(_u9542)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9542), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.45 cnf(matrix-4492, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u9543) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9543), _u9544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u9543)) | ( _u9544 = c_Groups_Ozero__class_Ozero(_u9543)) )).
% 12.21/12.45 cnf(matrix-4493, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u9543) | ( _u9544 != c_Groups_Ozero__class_Ozero(_u9543)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9543), _u9544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u9543)) )).
% 12.21/12.45 cnf(matrix-4494, plain, ( ~class_Rings_Osemiring__1(_u9545) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9545), c_Groups_Ozero__class_Ozero(_u9545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u9545)) )).
% 12.21/12.45 cnf(matrix-4495, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.45 cnf(matrix-4496, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-4497, plain, ( ~class_Rings_Ocomm__semiring__1(_u9546) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9546), _u9547), _u9547) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9546), _u9547), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4498, plain, ( ~class_Groups_Omonoid__mult(_u9548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9548), _u9549), 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(_u9548), _u9549), _u9549)) )).
% 12.21/12.45 cnf(matrix-4499, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4500, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9550), 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, _u9550))) )).
% 12.21/12.45 cnf(matrix-4501, 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)))), _u9551) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9551))) )).
% 12.21/12.45 cnf(matrix-4502, plain, ( ~class_Rings_Osemiring__1(_u9552) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9552), c_Groups_Oone__class_Oone(_u9552)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u9552)) )).
% 12.21/12.45 cnf(matrix-4503, plain, ( ~class_Rings_Oring__1(_u9553) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9553), hAPP(c_Groups_Ouminus__class_Ouminus(_u9553), _u9554)), 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(_u9553), _u9554), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4504, 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)))), _u9555) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9555), _u9555)) )).
% 12.21/12.45 cnf(matrix-4505, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9556), 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), _u9556), _u9556)) )).
% 12.21/12.45 cnf(matrix-4506, plain, ( ~class_Groups_Omonoid__mult(_u9557) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9557), _u9558), 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)))), _u9559)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9557), hAPP(hAPP(c_Power_Opower__class_Opower(_u9557), _u9558), _u9559)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4507, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4508, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.45 cnf(matrix-4509, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9560)), 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, _u9560, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.45 cnf(matrix-4510, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u9561))), 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), _u9561), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4511, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9562)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9563))) = hAPP(hAPP(c_Groups_Otimes__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), _u9562), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9563)))) )).
% 12.21/12.45 cnf(matrix-4512, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9564), _u9564)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u9564) )).
% 12.21/12.45 cnf(matrix-4513, plain, ( ~class_Int_Onumber__ring(_u9565) | ~c_Int_Oiszero(_u9565, hAPP(c_Int_Onumber__class_Onumber__of(_u9565), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.45 cnf(matrix-4514, plain, ( ~class_Int_Onumber__ring(_u9566) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9567) != hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9568)) | c_Int_Oiszero(_u9566, hAPP(c_Int_Onumber__class_Onumber__of(_u9566), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9567), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9568)))) )).
% 12.21/12.45 cnf(matrix-4515, plain, ( ~class_Int_Onumber__ring(_u9566) | ~c_Int_Oiszero(_u9566, hAPP(c_Int_Onumber__class_Onumber__of(_u9566), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9567), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9568)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9567) = hAPP(c_Int_Onumber__class_Onumber__of(_u9566), _u9568)) )).
% 12.21/12.45 cnf(matrix-4516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9569) | ~class_Int_Onumber__ring(_u9569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9569), _u9570), hAPP(c_Int_Onumber__class_Onumber__of(_u9569), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), _u9570)) )).
% 12.21/12.45 cnf(matrix-4517, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9569) | ~class_Int_Onumber__ring(_u9569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), _u9570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9569), c_Groups_Ozero__class_Ozero(_u9569)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9569), _u9570), hAPP(c_Int_Onumber__class_Onumber__of(_u9569), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4518, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9571) | ~class_Int_Onumber__ring(_u9571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9571), c_Groups_Ozero__class_Ozero(_u9571)), _u9572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9571), c_Groups_Ozero__class_Ozero(_u9571)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9571), _u9572), hAPP(c_Int_Onumber__class_Onumber__of(_u9571), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4519, plain, ( ~class_Rings_Olinordered__idom(_u9573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9573), _u9574), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4520, plain, ( ~class_Rings_Olinordered__semidom(_u9575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9575), hAPP(hAPP(c_Power_Opower__class_Opower(_u9575), _u9576), 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(_u9575), _u9577), 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(_u9575), c_Groups_Ozero__class_Ozero(_u9575)), _u9577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9575), _u9576), _u9577)) )).
% 12.21/12.45 cnf(matrix-4521, plain, ( ~class_Rings_Olinordered__semidom(_u9578) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9578), _u9579), 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(_u9578), _u9580), 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(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9580)) | ( _u9579 = _u9580) )).
% 12.21/12.45 cnf(matrix-4522, plain, ( ~class_Rings_Olinordered__idom(_u9581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9581), hAPP(hAPP(c_Power_Opower__class_Opower(_u9581), _u9582), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u9581))) )).
% 12.21/12.45 cnf(matrix-4523, plain, ( ~class_Rings_Olinordered__idom(_u9583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9583), c_Groups_Ozero__class_Ozero(_u9583)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9583), _u9584), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u9584 != c_Groups_Ozero__class_Ozero(_u9583)) )).
% 12.21/12.45 cnf(matrix-4524, plain, ( ~class_Rings_Olinordered__idom(_u9583) | ( _u9584 = c_Groups_Ozero__class_Ozero(_u9583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9583), c_Groups_Ozero__class_Ozero(_u9583)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9583), _u9584), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4525, plain, ( ~class_Rings_Olinordered__idom(_u9585) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9585), hAPP(hAPP(c_Power_Opower__class_Opower(_u9585), _u9586), 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(_u9585), _u9587), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u9585)) | ( _u9586 = c_Groups_Ozero__class_Ozero(_u9585)) )).
% 12.21/12.45 cnf(matrix-4526, plain, ( ~class_Rings_Olinordered__idom(_u9585) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9585), hAPP(hAPP(c_Power_Opower__class_Opower(_u9585), _u9586), 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(_u9585), _u9587), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u9585)) | ( _u9587 = c_Groups_Ozero__class_Ozero(_u9585)) )).
% 12.21/12.45 cnf(matrix-4527, plain, ( ~class_Rings_Olinordered__idom(_u9585) | ( _u9586 != c_Groups_Ozero__class_Ozero(_u9585)) | ( _u9587 != c_Groups_Ozero__class_Ozero(_u9585)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9585), hAPP(hAPP(c_Power_Opower__class_Opower(_u9585), _u9586), 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(_u9585), _u9587), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u9585)) )).
% 12.21/12.45 cnf(matrix-4528, plain, ( ~class_Groups_Omonoid__mult(_u9588) | ~class_Int_Onumber(_u9588) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9588), hAPP(c_Int_Onumber__class_Onumber__of(_u9588), _u9589)), 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(_u9588), hAPP(c_Int_Onumber__class_Onumber__of(_u9588), _u9589)), hAPP(c_Int_Onumber__class_Onumber__of(_u9588), _u9589))) )).
% 12.21/12.45 cnf(matrix-4529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9590), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u9590 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9590 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.45 cnf(matrix-4530, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.45 cnf(matrix-4531, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u9591) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9591), _u9592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 = c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 = hAPP(c_Groups_Ouminus__class_Ouminus(_u9591), c_Groups_Oone__class_Oone(_u9591))) )).
% 12.21/12.45 cnf(matrix-4532, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u9591) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9591), _u9592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 != c_Groups_Oone__class_Oone(_u9591)) )).
% 12.21/12.45 cnf(matrix-4533, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u9591) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9591), _u9592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u9591)) | ( _u9592 != hAPP(c_Groups_Ouminus__class_Ouminus(_u9591), c_Groups_Oone__class_Oone(_u9591))) )).
% 12.21/12.45 cnf(matrix-4534, plain, ( ~class_Rings_Ocomm__semiring__1(_u9593) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9593), _u9594), 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)))), _u9595)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9593), hAPP(hAPP(c_Power_Opower__class_Opower(_u9593), _u9594), _u9595)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9593), _u9594), _u9595))) )).
% 12.21/12.45 cnf(matrix-4535, plain, ( ~class_Rings_Oring__1(_u9596) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9596), hAPP(c_Groups_Ouminus__class_Ouminus(_u9596), _u9597)), 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)))), _u9598)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9596), _u9597), 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)))), _u9598))) )).
% 12.21/12.45 cnf(matrix-4536, plain, ( ~class_Rings_Olinordered__semidom(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), hAPP(hAPP(c_Power_Opower__class_Opower(_u9599), _u9600), 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(_u9599), _u9601), 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(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), _u9601)) )).
% 12.21/12.45 cnf(matrix-4537, plain, ( ~class_Rings_Olinordered__idom(_u9602) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9602), c_Groups_Ozero__class_Ozero(_u9602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9602), hAPP(hAPP(c_Power_Opower__class_Opower(_u9602), _u9603), 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(_u9602), _u9604), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.21/12.45 cnf(matrix-4538, plain, ( ~class_Rings_Olinordered__idom(_u9605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9605), hAPP(hAPP(c_Power_Opower__class_Opower(_u9605), _u9606), 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(_u9605), _u9607), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9605))) | ( _u9606 = c_Groups_Ozero__class_Ozero(_u9605)) )).
% 12.21/12.45 cnf(matrix-4539, plain, ( ~class_Rings_Olinordered__idom(_u9605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9605), hAPP(hAPP(c_Power_Opower__class_Opower(_u9605), _u9606), 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(_u9605), _u9607), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9605))) | ( _u9607 = c_Groups_Ozero__class_Ozero(_u9605)) )).
% 12.21/12.45 cnf(matrix-4540, plain, ( ~class_Rings_Olinordered__idom(_u9605) | ( _u9606 != c_Groups_Ozero__class_Ozero(_u9605)) | ( _u9607 != c_Groups_Ozero__class_Ozero(_u9605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9605), hAPP(hAPP(c_Power_Opower__class_Opower(_u9605), _u9606), 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(_u9605), _u9607), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9605))) )).
% 12.21/12.45 cnf(matrix-4541, plain, ( ~class_Rings_Olinordered__idom(_u9608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9608), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9608), hAPP(hAPP(c_Power_Opower__class_Opower(_u9608), _u9609), 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(_u9608), _u9610), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u9608))) )).
% 12.21/12.45 cnf(matrix-4542, plain, ( ~class_Rings_Olinordered__idom(_u9611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), c_Groups_Ozero__class_Ozero(_u9611)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9611), hAPP(hAPP(c_Power_Opower__class_Opower(_u9611), _u9612), 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(_u9611), _u9613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u9612 != c_Groups_Ozero__class_Ozero(_u9611)) | ( _u9613 != c_Groups_Ozero__class_Ozero(_u9611)) )).
% 12.21/12.45 cnf(matrix-4543, plain, ( ~class_Rings_Olinordered__idom(_u9611) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), c_Groups_Ozero__class_Ozero(_u9611)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9611), hAPP(hAPP(c_Power_Opower__class_Opower(_u9611), _u9612), 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(_u9611), _u9613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u9612 = c_Groups_Ozero__class_Ozero(_u9611)) )).
% 12.21/12.45 cnf(matrix-4544, plain, ( ~class_Rings_Olinordered__idom(_u9611) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), c_Groups_Ozero__class_Ozero(_u9611)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9611), hAPP(hAPP(c_Power_Opower__class_Opower(_u9611), _u9612), 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(_u9611), _u9613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u9613 = c_Groups_Ozero__class_Ozero(_u9611)) )).
% 12.21/12.45 cnf(matrix-4545, plain, ( ~class_Int_Onumber__ring(_u9614) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9614), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9614), _u9615), _u9616)), 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(_u9614), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9614), hAPP(hAPP(c_Power_Opower__class_Opower(_u9614), _u9615), 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(_u9614), _u9616), 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(_u9614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9614), hAPP(c_Int_Onumber__class_Onumber__of(_u9614), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9615)), _u9616))) )).
% 12.21/12.45 cnf(matrix-4546, plain, ( ~class_Rings_Olinordered__idom(_u9617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9617), c_Groups_Ozero__class_Ozero(_u9617)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9617), _u9618), 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)))), _u9619)))) )).
% 12.21/12.45 cnf(matrix-4547, plain, ( ~class_Rings_Ocomm__semiring__1(_u9620) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9620), _u9621), 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)))), _u9622))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9620), _u9621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9620), hAPP(hAPP(c_Power_Opower__class_Opower(_u9620), _u9621), _u9622)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9620), _u9621), _u9622)))) )).
% 12.21/12.45 cnf(matrix-4548, plain, ( ~class_Groups_Omonoid__mult(_u9623) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9623), _u9624), 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)))), _u9625))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9623), _u9624), hAPP(hAPP(c_Power_Opower__class_Opower(_u9623), hAPP(hAPP(c_Power_Opower__class_Opower(_u9623), _u9624), _u9625)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4549, plain, ( ~class_Rings_Oring__1(_u9626) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9626), hAPP(c_Groups_Ouminus__class_Ouminus(_u9626), c_Groups_Oone__class_Oone(_u9626))), 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)))), _u9627)) = c_Groups_Oone__class_Oone(_u9626)) )).
% 12.21/12.45 cnf(matrix-4550, 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), _u9630))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9632))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9630))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9632)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9630))) )).
% 12.21/12.45 cnf(matrix-4551, 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), _u9631))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9633))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u9631))) = 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), _u9633)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9631))) )).
% 12.21/12.45 cnf(matrix-4552, 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, _u9635, 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, _u9635, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.45 cnf(matrix-4553, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9636, 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, _u9636, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9637)) | 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), _u9637), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4555, plain, ( ~class_Int_Onumber__ring(_u9638) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9638), _u9639), _u9640)), 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(_u9638), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9638), hAPP(hAPP(c_Power_Opower__class_Opower(_u9638), _u9639), 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(_u9638), _u9640), 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(_u9638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9638), hAPP(c_Int_Onumber__class_Onumber__of(_u9638), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9639)), _u9640))) )).
% 12.21/12.45 cnf(matrix-4556, plain, ( ~class_Rings_Olinordered__idom(_u9641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9641), c_Groups_Ozero__class_Ozero(_u9641)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9641), _u9642), 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)))), _u9643))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9641), c_Groups_Ozero__class_Ozero(_u9641)), _u9642)) )).
% 12.21/12.45 cnf(matrix-4557, plain, ( ~class_Rings_Olinordered__idom(_u9644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9644), _u9645), c_Groups_Ozero__class_Ozero(_u9644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9644), hAPP(hAPP(c_Power_Opower__class_Opower(_u9644), _u9645), 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)))), _u9646)))), c_Groups_Ozero__class_Ozero(_u9644))) )).
% 12.21/12.45 cnf(matrix-4558, plain, ( ~class_Rings_Oring__1(_u9647) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9647), hAPP(c_Groups_Ouminus__class_Ouminus(_u9647), c_Groups_Oone__class_Oone(_u9647))), 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)))), _u9648))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9647), c_Groups_Oone__class_Oone(_u9647))) )).
% 12.21/12.45 cnf(matrix-4559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9649)) | 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), _u9649), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4560, plain, ( ~class_Int_Onumber__ring(_u9650) | ( c_Groups_Ozero__class_Ozero(_u9650) != hAPP(c_Int_Onumber__class_Onumber__of(_u9650), _u9651)) | c_Int_Oiszero(_u9650, hAPP(c_Int_Onumber__class_Onumber__of(_u9650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9651)))) )).
% 12.21/12.45 cnf(matrix-4561, plain, ( ~class_Int_Onumber__ring(_u9650) | ~c_Int_Oiszero(_u9650, hAPP(c_Int_Onumber__class_Onumber__of(_u9650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9651)))) | ( c_Groups_Ozero__class_Ozero(_u9650) = hAPP(c_Int_Onumber__class_Onumber__of(_u9650), _u9651)) )).
% 12.21/12.45 cnf(matrix-4562, plain, ( ~class_Int_Onumber__ring(_u9652) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9652), _u9653) != c_Groups_Ozero__class_Ozero(_u9652)) | c_Int_Oiszero(_u9652, hAPP(c_Int_Onumber__class_Onumber__of(_u9652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.21/12.45 cnf(matrix-4563, plain, ( ~class_Int_Onumber__ring(_u9652) | ~c_Int_Oiszero(_u9652, hAPP(c_Int_Onumber__class_Onumber__of(_u9652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9653), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9652), _u9653) = c_Groups_Ozero__class_Ozero(_u9652)) )).
% 12.21/12.45 cnf(matrix-4564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9654)) | ( 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)))), _u9655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9654)) = 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, _u9655, _u9654)))) )).
% 12.21/12.45 cnf(matrix-4565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9656), 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)))), _u9657))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9656)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9657), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9656)) )).
% 12.21/12.45 cnf(matrix-4566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9658)) | ( 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)))), _u9659))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9658)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9659), _u9658)) )).
% 12.21/12.45 cnf(matrix-4567, plain, ( ( c_Divides_Oadjust(_u9660) = 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)), _u9660))))), 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)), _u9660))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.21/12.45 cnf(matrix-4568, plain, ( ( hAPP(c_Divides_Oadjust(_u9661), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9662), _u9663)) = 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), _u9663), _u9661)), 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)))), _u9662)), 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)))), _u9662)), _u9663)))) )).
% 12.21/12.45 cnf(matrix-4569, 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), _u9664))) | ~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), _u9664))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9664)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4570, 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), _u9664))) | 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), _u9664))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9664)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9664)), 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), _u9664))))) )).
% 12.21/12.45 cnf(matrix-4571, plain, ( ( c_Divides_OposDivAlg(_u9667, _u9669) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9667), _u9669)) )).
% 12.21/12.45 cnf(matrix-4572, plain, ( ( c_Divides_OposDivAlg(_u9667, _u9669) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9669), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4573, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9668), _u9670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9670), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u9668, _u9670) = hAPP(c_Divides_Oadjust(_u9670), c_Divides_OposDivAlg(_u9668, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9670)))) )).
% 12.21/12.45 cnf(matrix-4574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9672), _u9671)) | ( c_Divides_OposDivAlg(_u9672, _u9671) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9672)) )).
% 12.21/12.45 cnf(matrix-4575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9672), _u9671)) | ( c_Divides_OposDivAlg(_u9672, _u9671) = hAPP(c_Divides_Oadjust(_u9671), c_Divides_OposDivAlg(_u9672, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9671)))) )).
% 12.21/12.45 cnf(matrix-4576, 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), _u9673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673)) = 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), _u9674))) )).
% 12.21/12.45 cnf(matrix-4577, 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), _u9673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9673)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9674), hAPP(hAPP(c_Groups_Otimes__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), _u9673))))) )).
% 12.21/12.45 cnf(matrix-4578, 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), _u9675), _u9676))) | ( c_Divides_OposDivAlg(_u9675, _u9676) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9675), _u9676)) )).
% 12.21/12.45 cnf(matrix-4579, 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), _u9675), _u9676))) | ( c_Divides_OposDivAlg(_u9675, _u9676) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9676), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4580, 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), _u9675), _u9676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9675), _u9676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9676), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u9675, _u9676) = hAPP(c_Divides_Oadjust(_u9676), c_Divides_OposDivAlg(_u9675, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9676)))) )).
% 12.21/12.45 cnf(matrix-4581, plain, ( ~class_Rings_Oring__1(_u9677) | ( _u9678 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9677), _u9678) = c_Groups_Ozero__class_Ozero(_u9677)) )).
% 12.21/12.45 cnf(matrix-4582, plain, ( ~class_Rings_Oring__1(_u9677) | ( _u9678 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9678), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9677), _u9678) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9677), hAPP(c_Int_Oring__1__class_Oof__int(_u9677), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9678)))) )).
% 12.21/12.45 cnf(matrix-4583, plain, ( ~class_Rings_Oring__1(_u9677) | ( _u9678 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9678), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9677), _u9678) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u9677), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u9677, _u9677)), tc_fun(tc_Int_Oint, _u9677)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9677, _u9677), _u9677), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u9677, _u9677)), tc_fun(tc_Int_Oint, _u9677)), tc_Int_Oint), c_COMBB(tc_fun(_u9677, _u9677), _u9677, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u9677, tc_fun(tc_fun(_u9677, _u9677), _u9677), tc_Int_Oint), c_HOL_OLet(_u9677, _u9677)), c_Int_Oring__1__class_Oof__int(_u9677)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u9677, _u9677), tc_fun(_u9677, _u9677)), hAPP(hAPP(c_COMBB(tc_fun(_u9677, tc_fun(_u9677, _u9677)), tc_fun(tc_fun(_u9677, _u9677), tc_fun(_u9677, _u9677)), tc_Int_Oint), c_COMBS(_u9677, _u9677, _u9677)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u9677, _u9677), tc_fun(_u9677, tc_fun(_u9677, _u9677))), hAPP(hAPP(c_COMBB(tc_fun(_u9677, tc_fun(_u9677, _u9677)), tc_fun(tc_fun(_u9677, _u9677), tc_fun(_u9677, tc_fun(_u9677, _u9677))), tc_Int_Oint), c_COMBB(_u9677, tc_fun(_u9677, _u9677), _u9677)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9677, tc_fun(_u9677, _u9677)), tc_Int_Oint), c_If(_u9677)), 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(_u9677, _u9677, _u9677), c_Groups_Oplus__class_Oplus(_u9677)), c_COMBI(_u9677))))), hAPP(hAPP(c_COMBC(_u9677, _u9677, _u9677), hAPP(hAPP(c_COMBB(_u9677, tc_fun(_u9677, _u9677), _u9677), c_Groups_Oplus__class_Oplus(_u9677)), hAPP(hAPP(c_COMBS(_u9677, _u9677, _u9677), c_Groups_Oplus__class_Oplus(_u9677)), c_COMBI(_u9677)))), c_Groups_Oone__class_Oone(_u9677))))), c_Divides_Odivmod__int(_u9678, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.21/12.45 cnf(matrix-4584, 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), _u9679))) | ~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), _u9679)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9679)) = 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), _u9679)))) )).
% 12.21/12.45 cnf(matrix-4585, 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), _u9679))) | 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), _u9679)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9679)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9679)), 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), _u9679))))) )).
% 12.21/12.45 cnf(matrix-4586, 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), _u9680))) | ~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), _u9681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)) = 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), _u9681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)))) )).
% 12.21/12.45 cnf(matrix-4587, 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), _u9680))) | 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), _u9681)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9681), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9680)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9681), hAPP(hAPP(c_Groups_Otimes__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), _u9680))))) )).
% 12.21/12.45 cnf(matrix-4588, plain, ( ~class_Int_Onumber__ring(_u9682) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9682), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9682), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4589, plain, ( ( c_Int_OBit1(_u9684) != c_Int_OMin) | ( _u9684 = c_Int_OMin) )).
% 12.21/12.45 cnf(matrix-4590, plain, ( ( _u9685 != c_Int_OMin) | ( c_Int_OBit1(_u9685) = c_Int_OMin) )).
% 12.21/12.45 cnf(matrix-4591, plain, ( ( c_Int_OMin != c_Int_OBit1(_u9687)) | ( c_Int_OMin = _u9687) )).
% 12.21/12.45 cnf(matrix-4592, plain, ( ( c_Int_OMin != _u9688) | ( c_Int_OMin = c_Int_OBit1(_u9688)) )).
% 12.21/12.45 cnf(matrix-4593, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.21/12.45 cnf(matrix-4594, plain, ( ~class_Int_Oring__char__0(_u9689) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9690) != hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9691)) | ( _u9690 = _u9691) )).
% 12.21/12.45 cnf(matrix-4595, plain, ( ~class_Int_Oring__char__0(_u9689) | ( _u9690 != _u9691) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9690) = hAPP(c_Int_Oring__1__class_Oof__int(_u9689), _u9691)) )).
% 12.21/12.45 cnf(matrix-4596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4597, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4598, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9692) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u9692)) )).
% 12.21/12.45 cnf(matrix-4599, plain, ( ~class_Int_Onumber__ring(_u9693) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9693), _u9694) = hAPP(c_Int_Oring__1__class_Oof__int(_u9693), _u9694)) )).
% 12.21/12.45 cnf(matrix-4600, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.21/12.45 cnf(matrix-4601, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4602, plain, ( ( c_Int_OBit0(_u9695) != c_Int_OMin) )).
% 12.21/12.45 cnf(matrix-4603, plain, ( ( c_Int_OMin != c_Int_OBit0(_u9696)) )).
% 12.21/12.45 cnf(matrix-4604, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9697) | ~class_Rings_Oring__1(_u9697) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9697), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9698, tc_Int_Oint), _u9699), _u9700)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9698, _u9697), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9697, _u9698), c_Int_Oring__1__class_Oof__int(_u9697)), _u9699)), _u9700)) )).
% 12.21/12.45 cnf(matrix-4605, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4607, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9702)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9702), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9703), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9703)), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u9705)) )).
% 12.21/12.45 cnf(matrix-4611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u9706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9706))) )).
% 12.21/12.45 cnf(matrix-4612, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.45 cnf(matrix-4613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9708)) )).
% 12.21/12.45 cnf(matrix-4615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9709))) )).
% 12.21/12.45 cnf(matrix-4616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9711)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9711), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4617, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9712), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9712)), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9714)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9714), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9715), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u9715)), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9717)) )).
% 12.21/12.45 cnf(matrix-4621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9718))) )).
% 12.21/12.45 cnf(matrix-4622, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4623, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.45 cnf(matrix-4624, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u9719) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9719)) )).
% 12.21/12.45 cnf(matrix-4625, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.21/12.45 cnf(matrix-4626, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.21/12.45 cnf(matrix-4627, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9720), c_Int_OMin) = c_Int_Opred(_u9720)) )).
% 12.21/12.45 cnf(matrix-4628, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u9721) = c_Int_Opred(_u9721)) )).
% 12.21/12.45 cnf(matrix-4629, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4630, plain, ( ~class_Rings_Oring__1(_u9722) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9722), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u9722)) )).
% 12.21/12.45 cnf(matrix-4631, plain, ( ~class_Int_Oring__char__0(_u9723) | ( c_Groups_Ozero__class_Ozero(_u9723) != hAPP(c_Int_Oring__1__class_Oof__int(_u9723), _u9724)) | ( _u9724 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-4632, plain, ( ~class_Int_Oring__char__0(_u9723) | ( _u9724 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u9723) = hAPP(c_Int_Oring__1__class_Oof__int(_u9723), _u9724)) )).
% 12.21/12.45 cnf(matrix-4633, plain, ( ~class_Int_Oring__char__0(_u9725) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9725), _u9726) != c_Groups_Ozero__class_Ozero(_u9725)) | ( _u9726 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.45 cnf(matrix-4634, plain, ( ~class_Int_Oring__char__0(_u9725) | ( _u9726 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9725), _u9726) = c_Groups_Ozero__class_Ozero(_u9725)) )).
% 12.21/12.45 cnf(matrix-4635, plain, ( ~class_Rings_Olinordered__idom(_u9727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9727), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9728)), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9728), _u9729)) )).
% 12.21/12.45 cnf(matrix-4636, plain, ( ~class_Rings_Olinordered__idom(_u9727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9728), _u9729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9727), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9728)), hAPP(c_Int_Oring__1__class_Oof__int(_u9727), _u9729))) )).
% 12.21/12.45 cnf(matrix-4637, plain, ( ~class_Rings_Olinordered__idom(_u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9731)), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9731), _u9732)) )).
% 12.21/12.45 cnf(matrix-4638, plain, ( ~class_Rings_Olinordered__idom(_u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9731), _u9732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9731)), hAPP(c_Int_Oring__1__class_Oof__int(_u9730), _u9732))) )).
% 12.21/12.45 cnf(matrix-4639, plain, ( ~class_Int_Onumber__ring(_u9733) | ~c_Int_Oiszero(_u9733, hAPP(c_Int_Onumber__class_Onumber__of(_u9733), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4640, plain, ( ~class_Rings_Oring__1(_u9734) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9734), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9735), _u9736)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9734), hAPP(c_Int_Oring__1__class_Oof__int(_u9734), _u9735)), hAPP(c_Int_Oring__1__class_Oof__int(_u9734), _u9736))) )).
% 12.21/12.45 cnf(matrix-4641, plain, ( ~class_Int_Onumber__ring(_u9737) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9737), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9738)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9737), _u9738)) )).
% 12.21/12.45 cnf(matrix-4642, plain, ( ~class_Rings_Oring__1(_u9739) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9740), _u9741)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9739), hAPP(c_Int_Oring__1__class_Oof__int(_u9739), _u9740)), hAPP(c_Int_Oring__1__class_Oof__int(_u9739), _u9741))) )).
% 12.21/12.45 cnf(matrix-4643, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.21/12.45 cnf(matrix-4644, plain, ( ~class_Rings_Oring__1(_u9742) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9742), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u9742)) )).
% 12.21/12.45 cnf(matrix-4645, plain, ( ~class_Rings_Oring__1(_u9743) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9743), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9744), _u9745)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9743), hAPP(c_Int_Oring__1__class_Oof__int(_u9743), _u9744)), hAPP(c_Int_Oring__1__class_Oof__int(_u9743), _u9745))) )).
% 12.21/12.45 cnf(matrix-4646, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9746), c_Int_OMin) = c_Int_Osucc(_u9746)) )).
% 12.21/12.45 cnf(matrix-4647, plain, ( ~class_Rings_Oring__1(_u9747) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9747), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9748)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9747), hAPP(c_Int_Oring__1__class_Oof__int(_u9747), _u9748))) )).
% 12.21/12.45 cnf(matrix-4648, plain, ( ~class_Rings_Oring__1(_u9749) | hBOOL(hAPP(hAPP(c_member(_u9749), hAPP(c_Int_Oring__1__class_Oof__int(_u9749), _u9750)), c_Int_Oring__1__class_OInts(_u9749))) )).
% 12.21/12.45 cnf(matrix-4649, plain, ( ~class_Rings_Oring__1(_u9751) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9751), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9752), _u9753)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9751), hAPP(c_Int_Oring__1__class_Oof__int(_u9751), _u9752)), _u9753)) )).
% 12.21/12.45 cnf(matrix-4650, plain, ( ~class_Int_Onumber__ring(_u9754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9754), hAPP(c_Int_Onumber__class_Onumber__of(_u9754), c_Int_OMin)), _u9755) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9754), _u9755)) )).
% 12.21/12.45 cnf(matrix-4651, plain, ( ~class_Int_Onumber__ring(_u9756) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9756), _u9757), hAPP(c_Int_Onumber__class_Onumber__of(_u9756), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9756), _u9757)) )).
% 12.21/12.45 cnf(matrix-4652, plain, ( ~class_Int_Onumber__ring(_u9758) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9758), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9758), c_Groups_Oone__class_Oone(_u9758))) )).
% 12.21/12.45 cnf(matrix-4653, plain, ( ~class_Int_Onumber__ring(_u9759) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9759), c_Groups_Oone__class_Oone(_u9759)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9759), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4654, plain, ( ~class_Fields_Ofield__inverse__zero(_u9760) | ~class_Int_Onumber__ring(_u9760) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9760), _u9761), hAPP(c_Int_Onumber__class_Onumber__of(_u9760), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9760), _u9761)) )).
% 12.21/12.45 cnf(matrix-4655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9763)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9763), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9764), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u9764)), c_Int_OMin)) )).
% 12.21/12.45 cnf(matrix-4657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9766)) )).
% 12.21/12.45 cnf(matrix-4658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u9767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9767))) )).
% 12.21/12.45 cnf(matrix-4659, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9768, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4660, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u9769)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u9769))) )).
% 12.21/12.46 cnf(matrix-4661, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-4662, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4663, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4664, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9772 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4665, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9772), _u9774) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9774 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4666, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9773), _u9775) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9773 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9775 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4667, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9773), _u9775) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9773 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u9775 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4668, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9776), _u9777) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9776 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u9776 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4669, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u9778)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u9778))) )).
% 12.21/12.46 cnf(matrix-4670, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u9779)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u9779))) )).
% 12.21/12.46 cnf(matrix-4671, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9780), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9780)) )).
% 12.21/12.46 cnf(matrix-4672, plain, ( ~class_Fields_Ofield__inverse__zero(_u9781) | ~class_Int_Onumber__ring(_u9781) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9781), hAPP(c_Int_Onumber__class_Onumber__of(_u9781), c_Int_OMin)), _u9782) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9781), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9781), c_Groups_Oone__class_Oone(_u9781)), _u9782))) )).
% 12.21/12.46 cnf(matrix-4673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9783)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u9783) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4674, plain, ( ~class_Rings_Olinordered__idom(_u9784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9784), hAPP(c_Int_Oring__1__class_Oof__int(_u9784), _u9785)), c_Groups_Ozero__class_Ozero(_u9784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9785), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4675, plain, ( ~class_Rings_Olinordered__idom(_u9784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9785), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9784), hAPP(c_Int_Oring__1__class_Oof__int(_u9784), _u9785)), c_Groups_Ozero__class_Ozero(_u9784))) )).
% 12.21/12.46 cnf(matrix-4676, plain, ( ~class_Rings_Olinordered__idom(_u9786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9786), c_Groups_Ozero__class_Ozero(_u9786)), hAPP(c_Int_Oring__1__class_Oof__int(_u9786), _u9787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9787)) )).
% 12.21/12.46 cnf(matrix-4677, plain, ( ~class_Rings_Olinordered__idom(_u9786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9786), c_Groups_Ozero__class_Ozero(_u9786)), hAPP(c_Int_Oring__1__class_Oof__int(_u9786), _u9787))) )).
% 12.21/12.46 cnf(matrix-4678, plain, ( ~class_Rings_Olinordered__idom(_u9788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9788), c_Groups_Ozero__class_Ozero(_u9788)), hAPP(c_Int_Oring__1__class_Oof__int(_u9788), _u9789))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9789)) )).
% 12.21/12.46 cnf(matrix-4679, plain, ( ~class_Rings_Olinordered__idom(_u9788) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9788), c_Groups_Ozero__class_Ozero(_u9788)), hAPP(c_Int_Oring__1__class_Oof__int(_u9788), _u9789))) )).
% 12.21/12.46 cnf(matrix-4680, plain, ( ~class_Rings_Olinordered__idom(_u9790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9790), hAPP(c_Int_Oring__1__class_Oof__int(_u9790), _u9791)), c_Groups_Ozero__class_Ozero(_u9790))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4681, plain, ( ~class_Rings_Olinordered__idom(_u9790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9790), hAPP(c_Int_Oring__1__class_Oof__int(_u9790), _u9791)), c_Groups_Ozero__class_Ozero(_u9790))) )).
% 12.21/12.46 cnf(matrix-4682, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u9792) = 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), _u9792), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-4683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9793), _u9794)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9793), _u9794) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9795)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u9795) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9795), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4685, plain, ( ~class_Int_Onumber__ring(_u9796) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9796), hAPP(c_Int_Onumber__class_Onumber__of(_u9796), 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)))), _u9797)) = c_Groups_Oone__class_Oone(_u9796)) )).
% 12.21/12.46 cnf(matrix-4686, plain, ( ~class_Int_Onumber__ring(_u9798) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9798), hAPP(c_Int_Onumber__class_Onumber__of(_u9798), 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)))), _u9799))) = hAPP(c_Int_Onumber__class_Onumber__of(_u9798), c_Int_OMin)) )).
% 12.21/12.46 cnf(matrix-4687, plain, ( ( c_Divides_OnegDivAlg(_u9802, _u9804) = 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), _u9802), _u9804))) | ~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), _u9802), _u9804))) )).
% 12.21/12.46 cnf(matrix-4688, plain, ( ( c_Divides_OnegDivAlg(_u9802, _u9804) = 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), _u9802), _u9804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9804), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4689, 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), _u9803), _u9805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9805), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u9803, _u9805) = hAPP(c_Divides_Oadjust(_u9805), c_Divides_OnegDivAlg(_u9803, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9805)))) )).
% 12.21/12.46 cnf(matrix-4690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9806)) | ~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), _u9807), _u9806))) | ( c_Divides_OnegDivAlg(_u9807, _u9806) = 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), _u9807), _u9806))) )).
% 12.21/12.46 cnf(matrix-4691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9806)) | 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), _u9807), _u9806))) | ( c_Divides_OnegDivAlg(_u9807, _u9806) = hAPP(c_Divides_Oadjust(_u9806), c_Divides_OnegDivAlg(_u9807, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9806)))) )).
% 12.21/12.46 cnf(matrix-4692, 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), _u9808), _u9809))) | ( c_Divides_OnegDivAlg(_u9808, _u9809) = 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), _u9808), _u9809))) | ~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), _u9808), _u9809))) )).
% 12.21/12.46 cnf(matrix-4693, 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), _u9808), _u9809))) | ( c_Divides_OnegDivAlg(_u9808, _u9809) = 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), _u9808), _u9809))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9809), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4694, 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), _u9808), _u9809))) | 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), _u9808), _u9809))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9809), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u9808, _u9809) = hAPP(c_Divides_Oadjust(_u9809), c_Divides_OnegDivAlg(_u9808, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u9809)))) )).
% 12.21/12.46 cnf(matrix-4695, 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), _u9812), _u9813))) | hBOOL(hAPP(hAPP(_u9814, _u9812), _u9813)) | 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), skolem158(_u9814, _u9813, _u9812)), skolem159(_u9814, _u9813, _u9812)))) )).
% 12.21/12.46 cnf(matrix-4696, 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), _u9812), _u9813))) | hBOOL(hAPP(hAPP(_u9814, _u9812), _u9813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem158(_u9814, _u9813, _u9812)), skolem159(_u9814, _u9813, _u9812))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem159(_u9814, _u9813, _u9812)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9814, skolem158(_u9814, _u9813, _u9812)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem159(_u9814, _u9813, _u9812)))) )).
% 12.21/12.46 cnf(matrix-4697, 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), _u9812), _u9813))) | hBOOL(hAPP(hAPP(_u9814, _u9812), _u9813)) | ~hBOOL(hAPP(hAPP(_u9814, skolem158(_u9814, _u9813, _u9812)), skolem159(_u9814, _u9813, _u9812))) )).
% 12.21/12.46 cnf(matrix-4698, plain, ( ( _u9816 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u9816) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4699, plain, ( ( _u9817 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u9817, 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, _u9817) = hAPP(hAPP(c_Groups_Otimes__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), _u9817), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.21/12.46 cnf(matrix-4700, plain, ( ( _u9817 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u9817, 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, _u9817) = 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), _u9817), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4701, plain, ( ~class_Rings_Osemiring__1(_u9818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9819)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9818), 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)))), _u9819))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9818), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9818), hAPP(c_Int_Onat, _u9819))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9818), hAPP(c_Int_Onat, _u9819)))) )).
% 12.21/12.46 cnf(matrix-4702, 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), _u9820))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9821))) )).
% 12.21/12.46 cnf(matrix-4703, 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, _u9822)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9823))) )).
% 12.21/12.46 cnf(matrix-4704, plain, ( ~class_Rings_Oring__1(_u9824) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9824), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9825)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9824), _u9825)) )).
% 12.21/12.46 cnf(matrix-4705, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9826)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9826)) )).
% 12.21/12.46 cnf(matrix-4706, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9829), _u9831)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9829)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9831))) )).
% 12.21/12.46 cnf(matrix-4707, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9830)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9832))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9830), _u9832)) )).
% 12.21/12.46 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9833))) )).
% 12.21/12.46 cnf(matrix-4709, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.46 cnf(matrix-4710, plain, ( ~class_Nat_Osemiring__char__0(_u9834) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9835) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9836)) | ( _u9835 = _u9836) )).
% 12.21/12.46 cnf(matrix-4711, plain, ( ~class_Nat_Osemiring__char__0(_u9834) | ( _u9835 != _u9836) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9835) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9834), _u9836)) )).
% 12.21/12.46 cnf(matrix-4712, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9837)) = _u9837) )).
% 12.21/12.46 cnf(matrix-4713, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9839)) | 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)), _u9839))) )).
% 12.21/12.46 cnf(matrix-4714, 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)), _u9840))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u9840)) )).
% 12.21/12.46 cnf(matrix-4715, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u9841) = 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)), _u9841))) )).
% 12.21/12.46 cnf(matrix-4716, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4717, plain, ( ~class_Groups_Ocomm__monoid__add(_u9842) | ~class_Groups_Ocomm__monoid__mult(_u9842) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9842), _u9843), _u9844) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9842), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9842, tc_Int_Oint), _u9843), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9844))) )).
% 12.21/12.46 cnf(matrix-4718, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9845, tc_Nat_Onat), _u9846), _u9847)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9845, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9845), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9846)), _u9847)) )).
% 12.21/12.46 cnf(matrix-4719, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9849) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9849 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4720, plain, ( ( _u9850 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9850) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4721, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4722, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-4723, 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), _u9851))) )).
% 12.21/12.46 cnf(matrix-4724, plain, ( hBOOL(hAPP(_u9857, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem160(_u9857))) )).
% 12.21/12.46 cnf(matrix-4725, plain, ( hBOOL(hAPP(_u9857, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9853))) | ~hBOOL(hAPP(_u9857, skolem160(_u9857))) )).
% 12.21/12.46 cnf(matrix-4726, plain, ( ~hBOOL(hAPP(_u9858, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem161(_u9858)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9855)) | hBOOL(hAPP(_u9858, _u9855)) )).
% 12.21/12.46 cnf(matrix-4727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9859)) | ~hBOOL(hAPP(_u9864, _u9859)) | hBOOL(hAPP(_u9864, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem162(_u9864)))) )).
% 12.21/12.46 cnf(matrix-4728, plain, ( ~hBOOL(hAPP(_u9865, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem163(_u9865))) )).
% 12.21/12.46 cnf(matrix-4729, plain, ( ~hBOOL(hAPP(_u9865, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9861))) | hBOOL(hAPP(_u9865, skolem163(_u9865))) )).
% 12.21/12.46 cnf(matrix-4730, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9866))) )).
% 12.21/12.46 cnf(matrix-4731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9867)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9870)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9870), _u9872)) )).
% 12.21/12.46 cnf(matrix-4733, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9871), _u9873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9871)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9873))) )).
% 12.21/12.46 cnf(matrix-4734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9876)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9878))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9876), _u9878)) )).
% 12.21/12.46 cnf(matrix-4735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9877), _u9879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9877)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9879))) )).
% 12.21/12.46 cnf(matrix-4736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9882)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9882), _u9884)) )).
% 12.21/12.46 cnf(matrix-4737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9883), _u9885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9885))) )).
% 12.21/12.46 cnf(matrix-4738, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9888)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9888), _u9890)) )).
% 12.21/12.46 cnf(matrix-4739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9889), _u9891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9889)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9891))) )).
% 12.21/12.46 cnf(matrix-4740, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9892)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9893)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9892), _u9893))) )).
% 12.21/12.46 cnf(matrix-4741, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9894)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9895)), _u9896)) = 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), _u9894), _u9895))), _u9896)) )).
% 12.21/12.46 cnf(matrix-4742, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9897)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9898)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9897), _u9898))) )).
% 12.21/12.46 cnf(matrix-4743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9903), _u9905)) | ( _u9905 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9903), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem164(_u9905, _u9903)))) )).
% 12.21/12.46 cnf(matrix-4744, plain, ( ( _u9906 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9904), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9900))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9904), _u9906)) )).
% 12.21/12.46 cnf(matrix-4745, plain, ( ~class_Rings_Olinordered__semidom(_u9907) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9907), c_Groups_Ozero__class_Ozero(_u9907)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9907), _u9908))) )).
% 12.21/12.46 cnf(matrix-4746, plain, ( ~class_Rings_Olinordered__semidom(_u9909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9909), c_Groups_Ozero__class_Ozero(_u9909)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9909), _u9910))) )).
% 12.21/12.46 cnf(matrix-4747, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9913)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9915)) | ( _u9913 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4748, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9913)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9915)) | ( _u9915 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4749, plain, ( ( _u9914 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9916 != 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), _u9914)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9916)) )).
% 12.21/12.46 cnf(matrix-4750, plain, ( ~class_Rings_Olinordered__semidom(_u9917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9917), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9917), _u9918)), c_Groups_Ozero__class_Ozero(_u9917))) )).
% 12.21/12.46 cnf(matrix-4751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9919)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9920)))) )).
% 12.21/12.46 cnf(matrix-4752, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9921), _u9922)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9921)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9922))) )).
% 12.21/12.46 cnf(matrix-4753, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9923)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9924)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9923), _u9924))) )).
% 12.21/12.46 cnf(matrix-4754, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9925)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9926)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9925), _u9926))) )).
% 12.21/12.46 cnf(matrix-4755, plain, ( ~class_Rings_Osemiring__1(_u9927) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9927), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u9927)) )).
% 12.21/12.46 cnf(matrix-4756, plain, ( ~class_Rings_Olinordered__semidom(_u9928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9928), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9928), _u9929)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9928), _u9930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9929), _u9930)) )).
% 12.21/12.46 cnf(matrix-4757, plain, ( ~class_Rings_Olinordered__semidom(_u9931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9932), _u9933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9931), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9931), _u9932)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9931), _u9933))) )).
% 12.21/12.46 cnf(matrix-4758, plain, ( ~class_Rings_Olinordered__semidom(_u9934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9934), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9935)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9935), _u9936)) )).
% 12.21/12.46 cnf(matrix-4759, plain, ( ~class_Rings_Olinordered__semidom(_u9934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9935), _u9936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9934), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9935)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9934), _u9936))) )).
% 12.21/12.46 cnf(matrix-4760, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4761, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-4762, plain, ( ~class_Rings_Olinordered__semidom(_u9937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9937), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9938)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9938), _u9939)) )).
% 12.21/12.46 cnf(matrix-4763, plain, ( ~class_Rings_Olinordered__semidom(_u9937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9938), _u9939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9937), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9938)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9937), _u9939))) )).
% 12.21/12.46 cnf(matrix-4764, plain, ( ~class_Rings_Osemiring__1(_u9940) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9940), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9941), _u9942)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9940), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9940), _u9941)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9940), _u9942))) )).
% 12.21/12.46 cnf(matrix-4765, plain, ( ~class_Rings_Osemiring__1(_u9943) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9943), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9944), _u9945)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9943), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9943), _u9944)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9943), _u9945))) )).
% 12.21/12.46 cnf(matrix-4766, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9946, _u9947)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9946), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9947))) )).
% 12.21/12.46 cnf(matrix-4767, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9948), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9949)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9948, _u9949))) )).
% 12.21/12.46 cnf(matrix-4768, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u9950)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9950)) = _u9950) )).
% 12.21/12.46 cnf(matrix-4769, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9951), _u9952)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9951)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9952))) )).
% 12.21/12.46 cnf(matrix-4770, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9953)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9954)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9953), _u9954))) )).
% 12.21/12.46 cnf(matrix-4771, plain, ( ~class_Rings_Osemiring__1(_u9955) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9955), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u9955)) )).
% 12.21/12.46 cnf(matrix-4772, 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)), _u9956)) = _u9956) )).
% 12.21/12.46 cnf(matrix-4773, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u9957), _u9958) = 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)), _u9957)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9958)))) )).
% 12.21/12.46 cnf(matrix-4774, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u9959), _u9960) = 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)), _u9959)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9960)))) )).
% 12.21/12.46 cnf(matrix-4775, plain, ( ~class_Rings_Oring__1(_u9961) | hBOOL(hAPP(hAPP(c_member(_u9961), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9961), _u9962)), c_Int_Oring__1__class_OInts(_u9961))) )).
% 12.21/12.46 cnf(matrix-4776, plain, ( ~class_Rings_Osemiring__1(_u9963) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9963), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9964), _u9965)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9963), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9963), _u9964)), _u9965)) )).
% 12.21/12.46 cnf(matrix-4777, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9966)), _u9967) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9966), _u9967))) )).
% 12.21/12.46 cnf(matrix-4778, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9968), _u9969)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9968)), _u9969)) )).
% 12.21/12.46 cnf(matrix-4779, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9970)), _u9971) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9970), _u9971))) )).
% 12.21/12.46 cnf(matrix-4780, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9972), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9973)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9972), _u9973))) )).
% 12.21/12.46 cnf(matrix-4781, plain, ( ~class_Nat_Osemiring__char__0(_u9974) | c_Fun_Oinj__on(tc_Nat_Onat, _u9974, c_Nat_Osemiring__1__class_Oof__nat(_u9974), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4782, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4783, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9975, tc_Nat_Onat), _u9976), _u9977) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9975, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9975), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9976)), _u9977))) )).
% 12.21/12.46 cnf(matrix-4784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9979)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9979 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4785, plain, ( ( _u9980 != 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), _u9980)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4786, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9985), _u9987)) | ( _u9987 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9985), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem165(_u9987, _u9985))))) )).
% 12.21/12.46 cnf(matrix-4788, plain, ( ( _u9988 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9986), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u9982)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9986), _u9988)) )).
% 12.21/12.46 cnf(matrix-4789, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9990)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9990)) = _u9990) )).
% 12.21/12.46 cnf(matrix-4790, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9991)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9991)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4791, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9994) != _u9996) | ( _u9994 = hAPP(c_Int_Onat, _u9996)) )).
% 12.21/12.46 cnf(matrix-4792, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9994) != _u9996) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9996)) )).
% 12.21/12.46 cnf(matrix-4793, plain, ( ( _u9995 != hAPP(c_Int_Onat, _u9997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9997)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9995) = _u9997) )).
% 12.21/12.46 cnf(matrix-4794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9998)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u9998)) = _u9998) )).
% 12.21/12.46 cnf(matrix-4795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10001), hAPP(c_Int_Onat, _u10003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10001)), _u10003)) )).
% 12.21/12.46 cnf(matrix-4796, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10002)), _u10004)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10002), hAPP(c_Int_Onat, _u10004))) )).
% 12.21/12.46 cnf(matrix-4797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10007)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10009)))) | ( _u10007 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10007)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10009)))) | ( _u10009 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4799, plain, ( ( _u10008 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10010 != 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), _u10008)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10010)))) )).
% 12.21/12.46 cnf(matrix-4800, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u10011)) = 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), _u10011))) )).
% 12.21/12.46 cnf(matrix-4801, 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), _u10012))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4802, 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), _u10013))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4803, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10014) | ~class_Rings_Osemiring__1(_u10014) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10014), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10015, tc_Nat_Onat), _u10016), _u10017)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10015, _u10014), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10014, _u10015), c_Nat_Osemiring__1__class_Oof__nat(_u10014)), _u10016)), _u10017)) )).
% 12.21/12.46 cnf(matrix-4804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10018), _u10019)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10019)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10018)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10019), _u10018))) )).
% 12.21/12.46 cnf(matrix-4805, plain, ( ~class_Rings_Osemiring__1(_u10020) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10020), hAPP(c_Nat_OSuc, _u10021)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10020), c_Groups_Oone__class_Oone(_u10020)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10020), _u10021))) )).
% 12.21/12.46 cnf(matrix-4806, 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, _u10022))))) )).
% 12.21/12.46 cnf(matrix-4807, plain, ( ~class_Rings_Oring__1(_u10023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10024), _u10025)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10023), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10025), _u10024)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10023), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10023), _u10025)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10023), _u10024))) )).
% 12.21/12.46 cnf(matrix-4808, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.21/12.46 cnf(matrix-4809, 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), _u10027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10027)) )).
% 12.21/12.46 cnf(matrix-4810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10028)) | 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), _u10028))) )).
% 12.21/12.46 cnf(matrix-4811, plain, ( ( hAPP(c_Int_Onat, _u10031) != _u10033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10031)) | ( _u10031 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10033)) )).
% 12.21/12.46 cnf(matrix-4812, plain, ( ( hAPP(c_Int_Onat, _u10031) != _u10033) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10031)) | ( _u10033 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4813, plain, ( ( hAPP(c_Int_Onat, _u10032) = _u10034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10032)) | ( _u10034 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4814, plain, ( ( hAPP(c_Int_Onat, _u10032) = _u10034) | ( _u10032 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10032)) )).
% 12.21/12.46 cnf(matrix-4815, plain, ( ( hAPP(c_Int_Onat, _u10032) = _u10034) | ( _u10032 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10034)) | ( _u10034 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4816, plain, ( ( _u10037 != hAPP(c_Int_Onat, _u10039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10039)) | ( _u10039 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10037)) )).
% 12.21/12.46 cnf(matrix-4817, plain, ( ( _u10037 != hAPP(c_Int_Onat, _u10039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10039)) | ( _u10037 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4818, plain, ( ( _u10038 = hAPP(c_Int_Onat, _u10040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10040)) | ( _u10038 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4819, plain, ( ( _u10038 = hAPP(c_Int_Onat, _u10040)) | ( _u10040 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10040)) )).
% 12.21/12.46 cnf(matrix-4820, plain, ( ( _u10038 = hAPP(c_Int_Onat, _u10040)) | ( _u10040 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10038)) | ( _u10038 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4821, plain, ( ~hBOOL(hAPP(_u10045, hAPP(c_Int_Onat, _u10047))) | ( _u10047 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10041)) | hBOOL(hAPP(_u10045, _u10041)) )).
% 12.21/12.46 cnf(matrix-4822, plain, ( ~hBOOL(hAPP(_u10045, hAPP(c_Int_Onat, _u10047))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10047), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u10045, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-4823, plain, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ( _u10048 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u10048, _u10046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4824, plain, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ( _u10048 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem166(_u10048, _u10046))) | ~hBOOL(hAPP(_u10046, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-4825, plain, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ~hBOOL(hAPP(_u10046, skolem166(_u10048, _u10046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4826, plain, ( hBOOL(hAPP(_u10046, hAPP(c_Int_Onat, _u10048))) | ~hBOOL(hAPP(_u10046, skolem166(_u10048, _u10046))) | ~hBOOL(hAPP(_u10046, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-4827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10049), _u10050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10051)) | 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), _u10051)), _u10049)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10051)), _u10050))) )).
% 12.21/12.46 cnf(matrix-4828, 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, _u10052))))) )).
% 12.21/12.46 cnf(matrix-4829, 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, _u10053)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4830, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10056) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10058)) | ( _u10056 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10058))) )).
% 12.21/12.46 cnf(matrix-4831, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10056) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10058)) | 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), _u10058))) )).
% 12.21/12.46 cnf(matrix-4832, plain, ( ( _u10057 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10059))) | ~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), _u10059))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10057) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10059)) )).
% 12.21/12.46 cnf(matrix-4833, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-4834, plain, ( ~class_Rings_Olinordered__semidom(_u10060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10060), c_Groups_Ozero__class_Ozero(_u10060)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10060), _u10061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10061)) )).
% 12.21/12.46 cnf(matrix-4835, plain, ( ~class_Rings_Olinordered__semidom(_u10060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10060), c_Groups_Ozero__class_Ozero(_u10060)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10060), _u10061))) )).
% 12.21/12.46 cnf(matrix-4836, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10063))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10063)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4837, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10064))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10064)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10064)) )).
% 12.21/12.46 cnf(matrix-4838, plain, ( ~class_Rings_Oring__1(_u10065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10066)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10065), hAPP(c_Int_Onat, _u10066)) = hAPP(c_Int_Oring__1__class_Oof__int(_u10065), _u10066)) )).
% 12.21/12.46 cnf(matrix-4839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10067)), _u10068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10067), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10068))) )).
% 12.21/12.46 cnf(matrix-4840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10067), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10067)), _u10068)) )).
% 12.21/12.46 cnf(matrix-4841, plain, ( ~hBOOL(hAPP(_u10072, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10074), _u10076)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10076), _u10074)) | hBOOL(hAPP(_u10072, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10074)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10076)))) )).
% 12.21/12.46 cnf(matrix-4842, plain, ( ~hBOOL(hAPP(_u10072, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10074), _u10076)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10074), _u10076)) | hBOOL(hAPP(_u10072, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4843, plain, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10077), _u10075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10075), _u10077)) )).
% 12.21/12.46 cnf(matrix-4844, plain, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10077), _u10075)) | ~hBOOL(hAPP(_u10073, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4845, plain, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | ~hBOOL(hAPP(_u10073, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10075)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10077)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10075), _u10077)) )).
% 12.21/12.46 cnf(matrix-4846, plain, ( hBOOL(hAPP(_u10073, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10075), _u10077)))) | ~hBOOL(hAPP(_u10073, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10075)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10077)))) | ~hBOOL(hAPP(_u10073, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-4847, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-4848, 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)))), _u10078)) = 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), _u10078), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.21/12.46 cnf(matrix-4849, plain, ( ~class_Int_Onumber__ring(_u10079) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10080))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10080)) = c_Groups_Ozero__class_Ozero(_u10079)) )).
% 12.21/12.46 cnf(matrix-4850, plain, ( ~class_Int_Onumber__ring(_u10079) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10080))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10080)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10079), _u10080)) )).
% 12.21/12.46 cnf(matrix-4851, plain, ( ~class_Int_Onumber__ring(_u10081) | ~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), _u10082))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10081), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10082)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10081), _u10082)) )).
% 12.21/12.46 cnf(matrix-4852, plain, ( ~class_Int_Onumber__ring(_u10081) | 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), _u10082))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10081), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10082)) = c_Groups_Ozero__class_Ozero(_u10081)) )).
% 12.21/12.46 cnf(matrix-4853, plain, ( ~class_Rings_Oring__1(_u10083) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10084), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10083), _u10084) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10083), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10083), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10084))))) )).
% 12.21/12.46 cnf(matrix-4854, plain, ( ~class_Rings_Oring__1(_u10083) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10084), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10083), _u10084) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10083), hAPP(c_Int_Onat, _u10084))) )).
% 12.21/12.46 cnf(matrix-4855, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.21/12.46 cnf(matrix-4856, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u10085, _u10086) = 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), _u10085), _u10086)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10085, _u10086))) )).
% 12.21/12.46 cnf(matrix-4857, 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), _u10089), _u10090))) | hBOOL(hAPP(hAPP(_u10091, _u10089), _u10090)) | 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), skolem167(_u10091, _u10090, _u10089)), skolem168(_u10091, _u10090, _u10089)))) )).
% 12.21/12.46 cnf(matrix-4858, 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), _u10089), _u10090))) | hBOOL(hAPP(hAPP(_u10091, _u10089), _u10090)) | 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), skolem167(_u10091, _u10090, _u10089)), skolem168(_u10091, _u10090, _u10089)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem168(_u10091, _u10090, _u10089)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10091, skolem167(_u10091, _u10090, _u10089)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem168(_u10091, _u10090, _u10089)))) )).
% 12.21/12.46 cnf(matrix-4859, 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), _u10089), _u10090))) | hBOOL(hAPP(hAPP(_u10091, _u10089), _u10090)) | ~hBOOL(hAPP(hAPP(_u10091, skolem167(_u10091, _u10090, _u10089)), skolem168(_u10091, _u10090, _u10089))) )).
% 12.21/12.46 cnf(matrix-4860, plain, ( ~class_Rings_Osemiring__1(_u10092) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10092), _u10093) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10092, hAPP(hAPP(c_COMBC(_u10092, _u10092, _u10092), c_Groups_Oplus__class_Oplus(_u10092)), c_Groups_Oone__class_Oone(_u10092)), _u10093, c_Groups_Ozero__class_Ozero(_u10092))) )).
% 12.21/12.46 cnf(matrix-4861, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10094)), hAPP(c_Nat_OSuc, _u10095)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10094))), 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)), _u10095))))) )).
% 12.21/12.46 cnf(matrix-4862, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10098), _u10100)) | 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)), _u10098)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10100))) )).
% 12.21/12.46 cnf(matrix-4863, 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)), _u10099)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10099), _u10101)) )).
% 12.21/12.46 cnf(matrix-4864, plain, ( ( _u10104 != _u10106) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10104) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10106)) )).
% 12.21/12.46 cnf(matrix-4865, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10105) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10107)) | ( _u10105 = _u10107) )).
% 12.21/12.46 cnf(matrix-4866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10110), _u10112)) | 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)), _u10110)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10112))) )).
% 12.21/12.46 cnf(matrix-4867, 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)), _u10111)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10111), _u10113)) )).
% 12.21/12.46 cnf(matrix-4868, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10116) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10118)) | ( _u10116 = _u10118) )).
% 12.21/12.46 cnf(matrix-4869, plain, ( ( _u10117 != _u10119) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10117) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10119)) )).
% 12.21/12.46 cnf(matrix-4870, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10122) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10124)) | ( _u10122 = _u10124) )).
% 12.21/12.46 cnf(matrix-4871, plain, ( ( _u10123 != _u10125) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10123) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10125)) )).
% 12.21/12.46 cnf(matrix-4872, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4873, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10127), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4874, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-4875, plain, ( ~class_Orderings_Olinorder(_u10128) | c_Finite__Set_Ofun__left__comm__idem(_u10128, _u10128, c_Orderings_Oord__class_Omin(_u10128)) )).
% 12.21/12.46 cnf(matrix-4876, plain, ( ~class_Orderings_Olinorder(_u10129) | ~class_Orderings_Olinorder(_u10130) | ~c_Orderings_Oorder__class_Omono(_u10130, _u10129, _u10131) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10129), hAPP(_u10131, _u10132)), hAPP(_u10131, _u10133)) = hAPP(_u10131, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10130), _u10132), _u10133))) )).
% 12.21/12.46 cnf(matrix-4877, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u10134) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10134), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10134), _u10135), _u10136)), _u10137) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10134), _u10135), _u10137)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10134), _u10136), _u10137))) )).
% 12.21/12.46 cnf(matrix-4878, plain, ( ~class_Groups_Oordered__ab__group__add(_u10138) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10138), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10138), _u10139), _u10140)), _u10141) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10138), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10138), _u10139), _u10141)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10138), _u10140), _u10141))) )).
% 12.21/12.46 cnf(matrix-4879, plain, ( ~class_Lattices_Osemilattice__inf(_u10142) | ~class_Orderings_Olinorder(_u10142) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u10142) = c_Orderings_Oord__class_Omin(_u10142)) )).
% 12.21/12.46 cnf(matrix-4880, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10143)), hAPP(c_Nat_OSuc, _u10144)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10143), _u10144))) )).
% 12.21/12.46 cnf(matrix-4881, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4882, plain, ( ~class_Orderings_Olinorder(_u10145) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10145), _u10146), _u10146) = _u10146) )).
% 12.21/12.46 cnf(matrix-4883, plain, ( ~class_Orderings_Olinorder(_u10147) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10147), _u10148), _u10149) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10147), _u10149), _u10148)) )).
% 12.21/12.46 cnf(matrix-4884, plain, ( ~class_Orderings_Olinorder(_u10150) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10150), _u10151), _u10152) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10150), _u10152), _u10151)) )).
% 12.21/12.46 cnf(matrix-4885, plain, ( ~class_Orderings_Olinorder(_u10153) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10153), _u10154), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10153), _u10154), _u10155)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10153), _u10154), _u10155)) )).
% 12.21/12.46 cnf(matrix-4886, plain, ( ~class_Orderings_Olinorder(_u10156) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10156), _u10157), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10156), _u10157), _u10158)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10156), _u10157), _u10158)) )).
% 12.21/12.46 cnf(matrix-4887, plain, ( ~class_Orderings_Olinorder(_u10159) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10160), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10161), _u10162)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10161), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10159), _u10160), _u10162))) )).
% 12.21/12.46 cnf(matrix-4888, plain, ( ~class_Orderings_Olinorder(_u10163) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10164), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10165), _u10166)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10165), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10163), _u10164), _u10166))) )).
% 12.21/12.46 cnf(matrix-4889, plain, ( ~class_Orderings_Olinorder(_u10167) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), _u10168), _u10169)), _u10170) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), _u10168), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10167), _u10169), _u10170))) )).
% 12.21/12.46 cnf(matrix-4890, plain, ( ~class_Orderings_Olinorder(_u10171) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), _u10172), _u10173)), _u10174) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), _u10172), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10171), _u10173), _u10174))) )).
% 12.21/12.46 cnf(matrix-4891, plain, ( ~class_Orderings_Olinorder(_u10175) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10175), _u10176), _u10176) = _u10176) )).
% 12.21/12.46 cnf(matrix-4892, plain, ( ~class_Orderings_Olinorder(_u10177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10177), _u10178), _u10179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10177), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10177), _u10180), _u10178)), _u10179)) )).
% 12.21/12.46 cnf(matrix-4893, plain, ( ~class_Orderings_Olinorder(_u10181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10181), _u10182), _u10183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10181), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10181), _u10182), _u10184)), _u10183)) )).
% 12.21/12.46 cnf(matrix-4894, plain, ( ~class_Orderings_Olinorder(_u10185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10185), _u10186), _u10187)), _u10188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10186), _u10188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10187), _u10188)) )).
% 12.21/12.46 cnf(matrix-4895, plain, ( ~class_Orderings_Olinorder(_u10185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10185), _u10186), _u10187)), _u10188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10186), _u10188)) )).
% 12.21/12.46 cnf(matrix-4896, plain, ( ~class_Orderings_Olinorder(_u10185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10185), _u10186), _u10187)), _u10188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10187), _u10188)) )).
% 12.21/12.46 cnf(matrix-4897, plain, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10189), _u10191), _u10192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10191)) )).
% 12.21/12.46 cnf(matrix-4898, plain, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10189), _u10191), _u10192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10192)) )).
% 12.21/12.46 cnf(matrix-4899, plain, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), _u10192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10189), _u10190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10189), _u10191), _u10192))) )).
% 12.21/12.46 cnf(matrix-4900, plain, ( ~class_Orderings_Olinorder(_u10193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10193), _u10194), _u10195)), _u10196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10194), _u10196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10195), _u10196)) )).
% 12.21/12.46 cnf(matrix-4901, plain, ( ~class_Orderings_Olinorder(_u10193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10193), _u10194), _u10195)), _u10196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10194), _u10196)) )).
% 12.21/12.46 cnf(matrix-4902, plain, ( ~class_Orderings_Olinorder(_u10193) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10193), _u10194), _u10195)), _u10196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10193), _u10195), _u10196)) )).
% 12.21/12.46 cnf(matrix-4903, plain, ( ~class_Orderings_Olinorder(_u10197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10197), _u10199), _u10200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), _u10199)) )).
% 12.21/12.46 cnf(matrix-4904, plain, ( ~class_Orderings_Olinorder(_u10197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10197), _u10199), _u10200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10197), _u10198), _u10200)) )).
% 12.21/12.46 cnf(matrix-4905, plain, ( ~class_Orderings_Olinorder(_u10201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10201), _u10202), _u10203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10201), _u10204), _u10205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10201), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10201), _u10202), _u10204)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10201), _u10203), _u10205))) )).
% 12.21/12.46 cnf(matrix-4906, plain, ( ~class_Orderings_Olinorder(_u10206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10206), _u10207), _u10208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10206), _u10207), _u10209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10206), _u10207), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10206), _u10208), _u10209))) )).
% 12.21/12.46 cnf(matrix-4907, plain, ( ~class_Orderings_Olinorder(_u10210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10210), _u10211), _u10212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10210), _u10211), _u10213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10210), _u10211), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10210), _u10212), _u10213))) )).
% 12.21/12.46 cnf(matrix-4908, plain, ( ~class_Orderings_Olinorder(_u10214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10214), _u10215), _u10216)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10214), _u10216), _u10215) = _u10215) )).
% 12.21/12.46 cnf(matrix-4909, plain, ( ~class_Orderings_Olinorder(_u10217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10217), _u10218), _u10219)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10217), _u10218), _u10219) = _u10218) )).
% 12.21/12.46 cnf(matrix-4910, plain, ( ~class_Orderings_Olinorder(_u10220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10220), _u10221), _u10222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10220), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10220), _u10223), _u10221)), _u10222)) )).
% 12.21/12.46 cnf(matrix-4911, plain, ( ~class_Orderings_Olinorder(_u10224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10224), _u10225), _u10226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10224), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10224), _u10225), _u10227)), _u10226)) )).
% 12.21/12.46 cnf(matrix-4912, plain, ( ~class_Orderings_Olinorder(_u10228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10228), _u10230), _u10231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10230)) )).
% 12.21/12.46 cnf(matrix-4913, plain, ( ~class_Orderings_Olinorder(_u10228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10228), _u10230), _u10231))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10231)) )).
% 12.21/12.46 cnf(matrix-4914, plain, ( ~class_Orderings_Olinorder(_u10228) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), _u10231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10228), _u10229), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10228), _u10230), _u10231))) )).
% 12.21/12.46 cnf(matrix-4915, plain, ( ~class_Orderings_Olinorder(_u10232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), _u10233), _u10234)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10232), _u10233), _u10234) = _u10233) )).
% 12.21/12.46 cnf(matrix-4916, plain, ( ~class_Orderings_Olinorder(_u10232) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10232), _u10233), _u10234) != _u10233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10232), _u10233), _u10234)) )).
% 12.21/12.46 cnf(matrix-4917, plain, ( ~class_Orderings_Olinorder(_u10235) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10235), _u10236), _u10237)), _u10237)) )).
% 12.21/12.46 cnf(matrix-4918, plain, ( ~class_Orderings_Olinorder(_u10238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10238), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10238), _u10239), _u10240)), _u10239)) )).
% 12.21/12.46 cnf(matrix-4919, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10241), _u10242)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10243), _u10242)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10241), _u10243)), _u10242)) )).
% 12.21/12.46 cnf(matrix-4920, plain, ( ~class_Int_Onumber(_u10244) | ~class_Orderings_Oord(_u10244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)) )).
% 12.21/12.46 cnf(matrix-4921, plain, ( ~class_Int_Onumber(_u10244) | ~class_Orderings_Oord(_u10244) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10244), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10245)), hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10244), _u10246)) )).
% 12.21/12.46 cnf(matrix-4922, plain, ( ~class_Orderings_Olinorder(_u10247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10247), _u10248)) | ~hBOOL(hAPP(hAPP(c_member(_u10247), _u10249), _u10248)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10247), _u10249), c_Big__Operators_Olinorder__class_OMin(_u10247, _u10248)) = c_Big__Operators_Olinorder__class_OMin(_u10247, _u10248)) )).
% 12.21/12.46 cnf(matrix-4923, plain, ( ~class_Lattices_Osemilattice__inf(_u10250) | ~class_Orderings_Olinorder(_u10251) | ~c_Orderings_Oorder__class_Omono(_u10251, _u10250, _u10252) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10250), hAPP(_u10252, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10251), _u10253), _u10254))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10250), hAPP(_u10252, _u10253)), hAPP(_u10252, _u10254)))) )).
% 12.21/12.46 cnf(matrix-4924, plain, ( ~class_Rings_Osemiring__1(_u10255) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10255, _u10256, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10257) = _u10257) )).
% 12.21/12.46 cnf(matrix-4925, plain, ( ~class_Rings_Osemiring__1(_u10258) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10258, _u10259, hAPP(c_Nat_OSuc, _u10260), _u10261) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10258, _u10259, _u10260, hAPP(_u10259, _u10261))) )).
% 12.21/12.46 cnf(matrix-4926, plain, ( ~class_Orderings_Olinorder(_u10262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10262), _u10263)) | ( c_Big__Operators_Olinorder__class_OMin(_u10262, _u10263) = hAPP(c_Finite__Set_Ofold1(_u10262, c_Orderings_Oord__class_Omin(_u10262)), _u10263)) )).
% 12.21/12.46 cnf(matrix-4927, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10264)), _u10265) = 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), _u10264)), _u10265)) )).
% 12.21/12.46 cnf(matrix-4928, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10266), hAPP(c_Nat_OSuc, _u10267)) = 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)), _u10267)), _u10266)) )).
% 12.21/12.46 cnf(matrix-4929, plain, ( ~class_Orderings_Olinorder(_u10268) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10268), _u10269)) | ~hBOOL(hAPP(hAPP(c_member(_u10268), _u10270), _u10269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10268), hAPP(c_Finite__Set_Ofold1(_u10268, c_Orderings_Oord__class_Omin(_u10268)), _u10269)), _u10270)) )).
% 12.21/12.46 cnf(matrix-4930, plain, ( ~class_Orderings_Olinorder(_u10273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10273), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10273, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), hAPP(c_Finite__Set_Ofold1(_u10273, c_Orderings_Oord__class_Omin(_u10273)), _u10274))) | ~hBOOL(hAPP(hAPP(c_member(_u10273), _u10271), _u10274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), _u10271)) )).
% 12.21/12.46 cnf(matrix-4931, plain, ( ~class_Orderings_Olinorder(_u10273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10273), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), hAPP(c_Finite__Set_Ofold1(_u10273, c_Orderings_Oord__class_Omin(_u10273)), _u10274))) | hBOOL(hAPP(hAPP(c_member(_u10273), skolem169(_u10275, _u10274, _u10273)), _u10274)) )).
% 12.21/12.46 cnf(matrix-4932, plain, ( ~class_Orderings_Olinorder(_u10273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10273), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), hAPP(c_Finite__Set_Ofold1(_u10273, c_Orderings_Oord__class_Omin(_u10273)), _u10274))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10273), _u10275), skolem169(_u10275, _u10274, _u10273))) )).
% 12.21/12.46 cnf(matrix-4933, plain, ( ~class_Orderings_Olinorder(_u10278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10278, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), hAPP(c_Finite__Set_Ofold1(_u10278, c_Orderings_Oord__class_Omin(_u10278)), _u10279)), _u10280)) | hBOOL(hAPP(hAPP(c_member(_u10278), skolem170(_u10280, _u10279, _u10278)), _u10279)) )).
% 12.21/12.46 cnf(matrix-4934, plain, ( ~class_Orderings_Olinorder(_u10278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10278, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), hAPP(c_Finite__Set_Ofold1(_u10278, c_Orderings_Oord__class_Omin(_u10278)), _u10279)), _u10280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), skolem170(_u10280, _u10279, _u10278)), _u10280)) )).
% 12.21/12.46 cnf(matrix-4935, plain, ( ~class_Orderings_Olinorder(_u10278) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ( _u10279 = c_Orderings_Obot__class_Obot(tc_fun(_u10278, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10278), _u10277), _u10279)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), _u10277), _u10280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10278), hAPP(c_Finite__Set_Ofold1(_u10278, c_Orderings_Oord__class_Omin(_u10278)), _u10279)), _u10280)) )).
% 12.21/12.46 cnf(matrix-4936, plain, ( ~class_Orderings_Olinorder(_u10283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ( _u10284 = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), hAPP(c_Finite__Set_Ofold1(_u10283, c_Orderings_Oord__class_Omin(_u10283)), _u10284))) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10281), _u10284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), _u10281)) )).
% 12.21/12.46 cnf(matrix-4937, plain, ( ~class_Orderings_Olinorder(_u10283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ( _u10284 = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), hAPP(c_Finite__Set_Ofold1(_u10283, c_Orderings_Oord__class_Omin(_u10283)), _u10284))) | hBOOL(hAPP(hAPP(c_member(_u10283), skolem171(_u10285, _u10284, _u10283)), _u10284)) )).
% 12.21/12.46 cnf(matrix-4938, plain, ( ~class_Orderings_Olinorder(_u10283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ( _u10284 = c_Orderings_Obot__class_Obot(tc_fun(_u10283, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), hAPP(c_Finite__Set_Ofold1(_u10283, c_Orderings_Oord__class_Omin(_u10283)), _u10284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10283), _u10285), skolem171(_u10285, _u10284, _u10283))) )).
% 12.21/12.46 cnf(matrix-4939, plain, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( _u10289 = c_Orderings_Obot__class_Obot(tc_fun(_u10288, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), hAPP(c_Finite__Set_Ofold1(_u10288, c_Orderings_Oord__class_Omin(_u10288)), _u10289)), _u10290)) | hBOOL(hAPP(hAPP(c_member(_u10288), skolem172(_u10290, _u10289, _u10288)), _u10289)) )).
% 12.21/12.46 cnf(matrix-4940, plain, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( _u10289 = c_Orderings_Obot__class_Obot(tc_fun(_u10288, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), hAPP(c_Finite__Set_Ofold1(_u10288, c_Orderings_Oord__class_Omin(_u10288)), _u10289)), _u10290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), skolem172(_u10290, _u10289, _u10288)), _u10290)) )).
% 12.21/12.46 cnf(matrix-4941, plain, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( _u10289 = c_Orderings_Obot__class_Obot(tc_fun(_u10288, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10288), _u10287), _u10289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), _u10287), _u10290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10288), hAPP(c_Finite__Set_Ofold1(_u10288, c_Orderings_Oord__class_Omin(_u10288)), _u10289)), _u10290)) )).
% 12.21/12.46 cnf(matrix-4942, plain, ( ~class_Orderings_Olinorder(_u10291) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ( _u10292 = c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10291, hAPP(hAPP(c_Set_Oinsert(_u10291), _u10293), _u10292)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10291), _u10293), c_Big__Operators_Olinorder__class_OMin(_u10291, _u10292))) )).
% 12.21/12.46 cnf(matrix-4943, plain, ( ~class_Orderings_Olinorder(_u10294) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10294), _u10295)) | ( _u10296 = c_Orderings_Obot__class_Obot(tc_fun(_u10294, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10294, tc_HOL_Obool)), _u10296), _u10295)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10294), c_Big__Operators_Olinorder__class_OMin(_u10294, _u10296)), c_Big__Operators_Olinorder__class_OMin(_u10294, _u10295)) = c_Big__Operators_Olinorder__class_OMin(_u10294, _u10295)) )).
% 12.21/12.46 cnf(matrix-4944, plain, ( ~class_Orderings_Olinorder(_u10297) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10297), _u10298)) | ( _u10298 = c_Orderings_Obot__class_Obot(tc_fun(_u10297, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10297), _u10299)) | ( _u10299 = c_Orderings_Obot__class_Obot(tc_fun(_u10297, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10297, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10297, tc_HOL_Obool)), _u10298), _u10299)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10297), c_Big__Operators_Olinorder__class_OMin(_u10297, _u10298)), c_Big__Operators_Olinorder__class_OMin(_u10297, _u10299))) )).
% 12.21/12.46 cnf(matrix-4945, plain, ( ~class_Orderings_Olinorder(_u10300) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10300), _u10301)) | hBOOL(hAPP(hAPP(c_member(_u10300), _u10302), _u10301)) | ( _u10301 = c_Orderings_Obot__class_Obot(tc_fun(_u10300, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10300, hAPP(hAPP(c_Set_Oinsert(_u10300), _u10302), _u10301)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10300), _u10302), c_Big__Operators_Olinorder__class_OMin(_u10300, _u10301))) )).
% 12.21/12.46 cnf(matrix-4946, plain, ( ~class_Orderings_Olinorder(_u10303) | ( _u10304 = c_Orderings_Obot__class_Obot(tc_fun(_u10303, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10303, tc_HOL_Obool)), _u10304), _u10305)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10303), _u10305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10303), hAPP(c_Finite__Set_Ofold1(_u10303, c_Orderings_Oord__class_Omin(_u10303)), _u10305)), hAPP(c_Finite__Set_Ofold1(_u10303, c_Orderings_Oord__class_Omin(_u10303)), _u10304))) )).
% 12.21/12.46 cnf(matrix-4947, plain, ( ~class_Orderings_Olinorder(_u10306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10306), _u10307)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10306, tc_HOL_Obool)), _u10307), hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10306, hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), _u10307)) = _u10308) )).
% 12.21/12.46 cnf(matrix-4948, plain, ( ~class_Orderings_Olinorder(_u10306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10306), _u10307)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10306, tc_HOL_Obool)), _u10307), hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10306, hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), _u10307)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10306), _u10308), c_Big__Operators_Olinorder__class_OMin(_u10306, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10306, tc_HOL_Obool)), _u10307), hAPP(hAPP(c_Set_Oinsert(_u10306), _u10308), c_Orderings_Obot__class_Obot(tc_fun(_u10306, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-4949, plain, ( ~class_Orderings_Olinorder(_u10309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10309), _u10310)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10309), _u10311)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10309, tc_HOL_Obool)), _u10310), _u10311) = c_Orderings_Obot__class_Obot(tc_fun(_u10309, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10309), c_Big__Operators_Olinorder__class_OMin(_u10309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10309, tc_HOL_Obool)), _u10310), _u10311))), c_Big__Operators_Olinorder__class_OMin(_u10309, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10309, tc_HOL_Obool)), _u10310), _u10311))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10309), c_Big__Operators_Olinorder__class_OMin(_u10309, _u10310)), c_Big__Operators_Olinorder__class_OMin(_u10309, _u10311))) )).
% 12.21/12.46 cnf(matrix-4950, plain, ( ~class_Orderings_Olinorder(_u10312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10312), _u10313)) | ( _u10313 = c_Orderings_Obot__class_Obot(tc_fun(_u10312, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10312), _u10314)) | ( _u10314 = c_Orderings_Obot__class_Obot(tc_fun(_u10312, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10312, tc_HOL_Obool)), _u10313), _u10314) != c_Orderings_Obot__class_Obot(tc_fun(_u10312, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10312, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10312, tc_HOL_Obool)), _u10313), _u10314)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10312), c_Big__Operators_Olinorder__class_OMin(_u10312, _u10313)), c_Big__Operators_Olinorder__class_OMin(_u10312, _u10314))) )).
% 12.21/12.46 cnf(matrix-4951, plain, ( ~class_Orderings_Olinorder(_u10315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10315), _u10316)) | ~hBOOL(hAPP(hAPP(c_member(_u10315), _u10317), _u10316)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10315, tc_HOL_Obool)), _u10316), hAPP(hAPP(c_Set_Oinsert(_u10315), _u10317), c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10315, _u10316) = _u10317) )).
% 12.21/12.46 cnf(matrix-4952, plain, ( ~class_Orderings_Olinorder(_u10315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10315), _u10316)) | ~hBOOL(hAPP(hAPP(c_member(_u10315), _u10317), _u10316)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10315, tc_HOL_Obool)), _u10316), hAPP(hAPP(c_Set_Oinsert(_u10315), _u10317), c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u10315, _u10316) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10315), _u10317), c_Big__Operators_Olinorder__class_OMin(_u10315, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10315, tc_HOL_Obool)), _u10316), hAPP(hAPP(c_Set_Oinsert(_u10315), _u10317), c_Orderings_Obot__class_Obot(tc_fun(_u10315, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-4953, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10318)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10319)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10319))), 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), _u10318)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-4954, plain, ( ( _u10322 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10322, _u10324) = _u10324) )).
% 12.21/12.46 cnf(matrix-4955, plain, ( ( _u10323 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10323, _u10325) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u10323), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u10325))) )).
% 12.21/12.46 cnf(matrix-4956, plain, ( ~c_Nat__Transfer_Onat__set(_u10326) | ~c_Nat__Transfer_Onat__set(_u10327) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10326), _u10327) = 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), _u10326)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10327)))) )).
% 12.21/12.46 cnf(matrix-4957, plain, ( ~c_Nat__Transfer_Onat__set(_u10328) | ~c_Nat__Transfer_Onat__set(_u10329) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10328), _u10329) = 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), _u10328)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10329)))) )).
% 12.21/12.46 cnf(matrix-4958, plain, ( ~class_Orderings_Olinorder(_u10330) | ( c_Orderings_Oord_Omax(_u10330, hAPP(c_COMBC(_u10330, _u10330, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10330))) = c_Orderings_Oord__class_Omin(_u10330)) )).
% 12.21/12.46 cnf(matrix-4959, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-4960, plain, ( ~c_Nat__Transfer_Onat__set(_u10331) | ~c_Nat__Transfer_Onat__set(_u10332) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10331), _u10332)) )).
% 12.21/12.46 cnf(matrix-4961, plain, ( ~c_Nat__Transfer_Onat__set(_u10333) | ~c_Nat__Transfer_Onat__set(_u10334) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10333), _u10334)) )).
% 12.21/12.46 cnf(matrix-4962, plain, ( ~c_Nat__Transfer_Onat__set(_u10338) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10335), _u10338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10335)) )).
% 12.21/12.46 cnf(matrix-4963, plain, ( c_Nat__Transfer_Onat__set(_u10339) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem173(_u10339)), _u10339)) )).
% 12.21/12.46 cnf(matrix-4964, plain, ( c_Nat__Transfer_Onat__set(_u10339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem173(_u10339))) )).
% 12.21/12.46 cnf(matrix-4965, 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)), _u10340)) )).
% 12.21/12.46 cnf(matrix-4966, plain, ( ~c_Nat__Transfer_Onat__set(_u10341) | ~c_Nat__Transfer_Onat__set(_u10342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10341), _u10342)) | 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), _u10341)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10342))) )).
% 12.21/12.46 cnf(matrix-4967, plain, ( ~c_Nat__Transfer_Onat__set(_u10341) | ~c_Nat__Transfer_Onat__set(_u10342) | ~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), _u10341)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10341), _u10342)) )).
% 12.21/12.46 cnf(matrix-4968, plain, ( ~c_Nat__Transfer_Onat__set(_u10343) | ~c_Nat__Transfer_Onat__set(_u10344) | ( _u10343 != _u10344) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10343) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10344)) )).
% 12.21/12.46 cnf(matrix-4969, plain, ( ~c_Nat__Transfer_Onat__set(_u10343) | ~c_Nat__Transfer_Onat__set(_u10344) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10343) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10344)) | ( _u10343 = _u10344) )).
% 12.21/12.46 cnf(matrix-4970, plain, ( ~c_Nat__Transfer_Onat__set(_u10345) | ~c_Nat__Transfer_Onat__set(_u10346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10345), _u10346)) | 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), _u10345)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10346))) )).
% 12.21/12.46 cnf(matrix-4971, plain, ( ~c_Nat__Transfer_Onat__set(_u10345) | ~c_Nat__Transfer_Onat__set(_u10346) | ~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), _u10345)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10345), _u10346)) )).
% 12.21/12.46 cnf(matrix-4972, plain, ( ~c_Nat__Transfer_Onat__set(_u10347) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10348), _u10347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10348)) )).
% 12.21/12.46 cnf(matrix-4973, 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)))), _u10349))) )).
% 12.21/12.46 cnf(matrix-4974, plain, ( ~c_Nat__Transfer_Onat__set(_u10350) | ( 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), _u10350)) = _u10350) )).
% 12.21/12.46 cnf(matrix-4975, plain, ( ~c_Nat__Transfer_Onat__set(_u10351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10351)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10351))) )).
% 12.21/12.46 cnf(matrix-4976, plain, ( ~c_Nat__Transfer_Onat__set(_u10351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10351))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10351)) )).
% 12.21/12.46 cnf(matrix-4977, plain, ( ~c_Nat__Transfer_Onat__set(_u10352) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u10352) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10352))) )).
% 12.21/12.46 cnf(matrix-4978, plain, ( ~class_Groups_Ocomm__monoid__add(_u10353) | ~class_Groups_Ocomm__monoid__mult(_u10353) | ~c_Nat__Transfer_Onat__set(_u10354) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10353), _u10355), _u10354) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10353), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10353, tc_Nat_Onat), _u10355), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10354))) )).
% 12.21/12.46 cnf(matrix-4979, plain, ( ~class_Orderings_Oord(_u10356) | ( c_Orderings_Oord__class_Omin(_u10356) = c_Orderings_Oord_Omin(_u10356, c_Orderings_Oord__class_Oless__eq(_u10356))) )).
% 12.21/12.46 cnf(matrix-4980, plain, ( ~c_Nat__Transfer_Ois__nat(_u10357) | ~c_Nat__Transfer_Onat__set(_u10358) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10357), _u10358)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10357)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10358))) )).
% 12.21/12.46 cnf(matrix-4981, plain, ( ~c_Nat__Transfer_Ois__nat(_u10357) | ~c_Nat__Transfer_Onat__set(_u10358) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10357)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10358))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10357), _u10358)) )).
% 12.21/12.46 cnf(matrix-4982, plain, ( ~class_Orderings_Olinorder(_u10361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10361), _u10362)) | ( _u10362 = c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10361), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10361), skolem174(_u10362, _u10361)), skolem175(_u10362, _u10361))), hAPP(hAPP(c_Set_Oinsert(_u10361), skolem174(_u10362, _u10361)), hAPP(hAPP(c_Set_Oinsert(_u10361), skolem175(_u10362, _u10361)), c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10361), c_Big__Operators_Olinorder__class_OMin(_u10361, _u10362)), _u10362)) )).
% 12.21/12.46 cnf(matrix-4983, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-4984, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4985, plain, ( ~c_Nat__Transfer_Ois__nat(_u10363) | ~c_Nat__Transfer_Ois__nat(_u10364) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10363), _u10364)) )).
% 12.21/12.46 cnf(matrix-4986, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10365)) )).
% 12.21/12.46 cnf(matrix-4987, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-4988, plain, ( ~c_Nat__Transfer_Ois__nat(_u10366) | ~c_Nat__Transfer_Ois__nat(_u10367) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10366), _u10367)) )).
% 12.21/12.46 cnf(matrix-4989, plain, ( ~c_Nat__Transfer_Ois__nat(_u10368) | ~c_Nat__Transfer_Ois__nat(_u10369) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10368, _u10369)) )).
% 12.21/12.46 cnf(matrix-4990, plain, ( ~c_Nat__Transfer_Ois__nat(_u10370) | ~c_Nat__Transfer_Ois__nat(_u10371) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10370), _u10371)) )).
% 12.21/12.46 cnf(matrix-4991, plain, ( ~c_Nat__Transfer_Ois__nat(_u10372) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10372), _u10373)) )).
% 12.21/12.46 cnf(matrix-4992, plain, ( ~c_Nat__Transfer_Ois__nat(_u10374) | ~c_Nat__Transfer_Ois__nat(_u10375) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u10374, _u10375)) )).
% 12.21/12.46 cnf(matrix-4993, plain, ( ~c_Nat__Transfer_Ois__nat(_u10377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10377)) )).
% 12.21/12.46 cnf(matrix-4994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10378)) | c_Nat__Transfer_Ois__nat(_u10378) )).
% 12.21/12.46 cnf(matrix-4995, plain, ( ~c_Nat__Transfer_Onat__set(_u10379) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10380), _u10379)) | c_Nat__Transfer_Ois__nat(_u10380) )).
% 12.21/12.46 cnf(matrix-4996, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.46 cnf(matrix-4997, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.21/12.46 cnf(matrix-4998, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Int_Oint), _u10384), _u10383) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10382), c_Int_Onat), _u10384)), _u10383))) | hBOOL(hAPP(hAPP(c_member(_u10382), skolem176(_u10384, _u10383, _u10382)), _u10383)) )).
% 12.21/12.46 cnf(matrix-4999, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Int_Oint), _u10384), _u10383) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10382, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10382), c_Int_Onat), _u10384)), _u10383))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10384, skolem176(_u10384, _u10383, _u10382))) )).
% 12.21/12.46 cnf(matrix-5000, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u10385)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u10385)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-5001, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10386, _u10387)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10387), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10386), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.46 cnf(matrix-5002, 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)), _u10390), 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)), _u10392), 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)), _u10390), _u10392)), c_Int_Ointrel)) )).
% 12.21/12.46 cnf(matrix-5003, 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)), _u10391), _u10393)), 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)), _u10391), 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)), _u10393), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-5004, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10394, _u10395))) )).
% 12.21/12.46 cnf(matrix-5005, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u10398) != c_Code__Numeral_OSuc__code__numeral(_u10400)) | ( _u10398 = _u10400) )).
% 12.21/12.46 cnf(matrix-5006, plain, ( ( _u10399 != _u10401) | ( c_Code__Numeral_OSuc__code__numeral(_u10399) = c_Code__Numeral_OSuc__code__numeral(_u10401)) )).
% 12.21/12.46 cnf(matrix-5007, plain, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.21/12.46 cnf(matrix-5008, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u10402) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.46 cnf(matrix-5009, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u10403)) )).
% 12.21/12.46 cnf(matrix-5010, plain, ( ~class_Orderings_Oorder(_u10404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10404), _u10405), _u10406)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u10404, _u10406, _u10405) = c_Orderings_Obot__class_Obot(tc_fun(_u10404, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5011, plain, ( ~class_Groups_Oordered__ab__group__add(_u10407) | ( hAPP(c_Set_Oimage(_u10407, _u10407, c_Groups_Ouminus__class_Ouminus(_u10407)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10407, _u10408, _u10409)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10407, hAPP(c_Groups_Ouminus__class_Ouminus(_u10407), _u10409), hAPP(c_Groups_Ouminus__class_Ouminus(_u10407), _u10408))) )).
% 12.21/12.46 cnf(matrix-5012, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u10410)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u10410) )).
% 12.21/12.46 cnf(matrix-5013, 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), _u10415), _u10417)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10419), _u10421))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10415), _u10421) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10419), _u10417)) )).
% 12.21/12.46 cnf(matrix-5014, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10416), _u10422) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10420), _u10418)) | 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), _u10416), _u10418)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10420), _u10422))), c_Int_Ointrel)) )).
% 12.21/12.46 cnf(matrix-5015, plain, ( ~class_Rings_Oring__1(_u10423) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10423), 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), _u10424), _u10425)), 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(_u10423), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10423), _u10424)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10423), _u10425))) )).
% 12.21/12.46 cnf(matrix-5016, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5017, 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), _u10426), _u10427)), 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), _u10428), _u10429)), 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), _u10426), _u10428)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10427), _u10429))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10426), _u10429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10427), _u10428)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5018, 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), _u10434), _u10436)), 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), _u10438), _u10440)), 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), _u10434), _u10440)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10438), _u10436))) )).
% 12.21/12.46 cnf(matrix-5019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10435), _u10441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10439), _u10437))) | 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), _u10435), _u10437)), 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), _u10439), _u10441)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5020, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10442, _u10443))) )).
% 12.21/12.46 cnf(matrix-5021, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10444, _u10445)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10445), hAPP(c_Nat_OSuc, _u10444))) )).
% 12.21/12.46 cnf(matrix-5022, 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), _u10446), _u10447)), 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), _u10447), _u10446)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5023, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5024, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10448) = 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), _u10448), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5025, 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), _u10449), _u10450)), 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), _u10451), _u10452)), 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), _u10449), _u10451)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10450), _u10452))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5026, 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), _u10453), _u10454)), 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), _u10453), _u10454)) )).
% 12.21/12.46 cnf(matrix-5027, 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), _u10459), _u10461)), 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), _u10463), _u10465)), 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), _u10459), _u10465)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10463), _u10461))) )).
% 12.21/12.46 cnf(matrix-5028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10460), _u10466)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10464), _u10462))) | 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), _u10460), _u10462)), 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), _u10464), _u10466)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5029, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10467) = 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, _u10467)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.21/12.46 cnf(matrix-5030, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u10468)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u10468)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-5031, plain, ( ( _u10471 = 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), skolem177(_u10471)), skolem178(_u10471))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5032, plain, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.21/12.46 cnf(matrix-5033, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u10472)), c_Int_OInteg)) )).
% 12.21/12.46 cnf(matrix-5034, plain, ( ( hAPP(c_Int_ORep__Integ, _u10475) != hAPP(c_Int_ORep__Integ, _u10477)) | ( _u10475 = _u10477) )).
% 12.21/12.46 cnf(matrix-5035, plain, ( ( _u10476 != _u10478) | ( hAPP(c_Int_ORep__Integ, _u10476) = hAPP(c_Int_ORep__Integ, _u10478)) )).
% 12.21/12.46 cnf(matrix-5036, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10479)) = _u10479) )).
% 12.21/12.46 cnf(matrix-5037, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5038, plain, ( ( hAPP(c_Int_Onat, _u10480) = 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, _u10480)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5039, plain, ( ~class_Int_Onumber__ring(_u10481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10482)) | hBOOL(hAPP(hAPP(c_member(_u10481), hAPP(c_Int_Onumber__class_Onumber__of(_u10481), _u10482)), c_Nat_Osemiring__1__class_ONats(_u10481))) )).
% 12.21/12.46 cnf(matrix-5040, plain, ( ~class_Orderings_Olinorder(_u10483) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10483), _u10484), _u10485)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10483, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10483, _u10484, _u10485)), hAPP(hAPP(c_Set_Oinsert(_u10483), _u10485), c_Orderings_Obot__class_Obot(tc_fun(_u10483, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10483, _u10484, _u10485)) )).
% 12.21/12.46 cnf(matrix-5041, 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), _u10488), _u10490)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10488), _u10490)) )).
% 12.21/12.46 cnf(matrix-5042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10489), _u10491)) | 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), _u10489), _u10491)), c_Wellfounded_Oless__than)) )).
% 12.21/12.46 cnf(matrix-5043, plain, ( ~class_Orderings_Olinorder(_u10492) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10492), _u10493)) | ~hBOOL(hAPP(hAPP(c_member(_u10492), _u10494), _u10493)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10492, tc_HOL_Obool)), _u10493), hAPP(hAPP(c_Set_Oinsert(_u10492), _u10494), c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10492, c_Orderings_Oord__class_Omin(_u10492), _u10493) = _u10494) )).
% 12.21/12.46 cnf(matrix-5044, plain, ( ~class_Orderings_Olinorder(_u10492) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10492), _u10493)) | ~hBOOL(hAPP(hAPP(c_member(_u10492), _u10494), _u10493)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10492, tc_HOL_Obool)), _u10493), hAPP(hAPP(c_Set_Oinsert(_u10492), _u10494), c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10492, c_Orderings_Oord__class_Omin(_u10492), _u10493) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10492), _u10494), c_Big__Operators_Olattice_OInf__fin(_u10492, c_Orderings_Oord__class_Omin(_u10492), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10492, tc_HOL_Obool)), _u10493), hAPP(hAPP(c_Set_Oinsert(_u10492), _u10494), c_Orderings_Obot__class_Obot(tc_fun(_u10492, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5045, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10495, _u10496))) )).
% 12.21/12.46 cnf(matrix-5046, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10497, _u10498))) )).
% 12.21/12.46 cnf(matrix-5047, plain, ( ~class_Orderings_Oorder(_u10499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10499), _u10500), _u10501)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10499, _u10501, _u10500) = c_Orderings_Obot__class_Obot(tc_fun(_u10499, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5048, plain, ( ~class_Orderings_Oorder(_u10502) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10502, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10502, _u10503, _u10504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10502), _u10503), _u10504)) )).
% 12.21/12.46 cnf(matrix-5049, plain, ( ~class_Orderings_Oorder(_u10502) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10502), _u10503), _u10504)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10502, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10502, _u10503, _u10504)) )).
% 12.21/12.46 cnf(matrix-5050, plain, ( ~class_Orderings_Oorder(_u10505) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10505, _u10506, _u10507) != c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10505), _u10506), _u10507)) )).
% 12.21/12.46 cnf(matrix-5051, plain, ( ~class_Orderings_Oorder(_u10505) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10505), _u10506), _u10507)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10505, _u10506, _u10507) = c_Orderings_Obot__class_Obot(tc_fun(_u10505, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5052, plain, ( ~class_Orderings_Olinorder(_u10508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10508), _u10509), _u10510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10508), _u10510), _u10511)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10508, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10508, _u10509, _u10510)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10508, _u10510, _u10511)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10508, _u10509, _u10511)) )).
% 12.21/12.46 cnf(matrix-5053, plain, ( ~class_Orderings_Oorder(_u10512) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10512, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10512, _u10513, _u10514)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10512, _u10514, _u10515)) = c_Orderings_Obot__class_Obot(tc_fun(_u10512, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5054, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.21/12.46 cnf(matrix-5055, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10516, _u10517)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10517), _u10516)) )).
% 12.21/12.46 cnf(matrix-5056, plain, ( ~class_Orderings_Olinorder(_u10518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10518), _u10519)) | ~hBOOL(hAPP(hAPP(c_member(_u10518), _u10520), _u10519)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10518), _u10520), c_Big__Operators_Olattice_OInf__fin(_u10518, c_Orderings_Oord__class_Omin(_u10518), _u10519)) = c_Big__Operators_Olattice_OInf__fin(_u10518, c_Orderings_Oord__class_Omin(_u10518), _u10519)) )).
% 12.21/12.46 cnf(matrix-5057, plain, ( ~class_Orderings_Olinorder(_u10521) | ( c_Big__Operators_Olattice_OInf__fin(_u10521, c_Orderings_Oord__class_Omin(_u10521), hAPP(hAPP(c_Set_Oinsert(_u10521), _u10522), c_Orderings_Obot__class_Obot(tc_fun(_u10521, tc_HOL_Obool)))) = _u10522) )).
% 12.21/12.46 cnf(matrix-5058, plain, ( ~class_Orderings_Olinorder(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10523), _u10524)) | ( c_Big__Operators_Olattice_OInf__fin(_u10523, c_Orderings_Oord__class_Omin(_u10523), _u10524) = hAPP(c_Finite__Set_Ofold1(_u10523, c_Orderings_Oord__class_Omin(_u10523)), _u10524)) )).
% 12.21/12.46 cnf(matrix-5059, plain, ( ~class_Rings_Osemiring__1(_u10525) | hBOOL(hAPP(hAPP(c_member(_u10525), c_Groups_Ozero__class_Ozero(_u10525)), c_Nat_Osemiring__1__class_ONats(_u10525))) )).
% 12.21/12.46 cnf(matrix-5060, plain, ( ~class_Rings_Osemiring__1(_u10526) | ~hBOOL(hAPP(hAPP(c_member(_u10526), _u10527), c_Nat_Osemiring__1__class_ONats(_u10526))) | ~hBOOL(hAPP(hAPP(c_member(_u10526), _u10528), c_Nat_Osemiring__1__class_ONats(_u10526))) | hBOOL(hAPP(hAPP(c_member(_u10526), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10526), _u10527), _u10528)), c_Nat_Osemiring__1__class_ONats(_u10526))) )).
% 12.21/12.46 cnf(matrix-5061, plain, ( ~class_Rings_Osemiring__1(_u10529) | ~hBOOL(hAPP(hAPP(c_member(_u10529), _u10530), c_Nat_Osemiring__1__class_ONats(_u10529))) | ~hBOOL(hAPP(hAPP(c_member(_u10529), _u10531), c_Nat_Osemiring__1__class_ONats(_u10529))) | hBOOL(hAPP(hAPP(c_member(_u10529), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10529), _u10530), _u10531)), c_Nat_Osemiring__1__class_ONats(_u10529))) )).
% 12.21/12.46 cnf(matrix-5062, plain, ( ~class_Rings_Osemiring__1(_u10532) | hBOOL(hAPP(hAPP(c_member(_u10532), c_Groups_Oone__class_Oone(_u10532)), c_Nat_Osemiring__1__class_ONats(_u10532))) )).
% 12.21/12.46 cnf(matrix-5063, plain, ( ~class_Rings_Osemiring__1(_u10533) | hBOOL(hAPP(hAPP(c_member(_u10533), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10533), _u10534)), c_Nat_Osemiring__1__class_ONats(_u10533))) )).
% 12.21/12.46 cnf(matrix-5064, plain, ( ( c_Wellfounded_Omeasure(_u10535) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u10535), c_Wellfounded_Oless__than)) )).
% 12.21/12.46 cnf(matrix-5065, plain, ( ~class_Orderings_Oorder(_u10536) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10536, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10536, _u10537, _u10538)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10536, _u10538, _u10539)) = c_Orderings_Obot__class_Obot(tc_fun(_u10536, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5066, plain, ( ~class_Orderings_Olinorder(_u10540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10540), _u10541)) | ( _u10541 = c_Orderings_Obot__class_Obot(tc_fun(_u10540, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10540, c_Orderings_Oord__class_Omin(_u10540), hAPP(hAPP(c_Set_Oinsert(_u10540), _u10542), _u10541)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10540), _u10542), c_Big__Operators_Olattice_OInf__fin(_u10540, c_Orderings_Oord__class_Omin(_u10540), _u10541))) )).
% 12.21/12.46 cnf(matrix-5067, plain, ( ~class_Orderings_Olinorder(_u10543) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10543), _u10544)) | ( _u10545 = c_Orderings_Obot__class_Obot(tc_fun(_u10543, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10543, tc_HOL_Obool)), _u10545), _u10544)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10543), c_Big__Operators_Olattice_OInf__fin(_u10543, c_Orderings_Oord__class_Omin(_u10543), _u10545)), c_Big__Operators_Olattice_OInf__fin(_u10543, c_Orderings_Oord__class_Omin(_u10543), _u10544)) = c_Big__Operators_Olattice_OInf__fin(_u10543, c_Orderings_Oord__class_Omin(_u10543), _u10544)) )).
% 12.21/12.46 cnf(matrix-5068, plain, ( ~class_Orderings_Olinorder(_u10546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10546), _u10547)) | ( _u10547 = c_Orderings_Obot__class_Obot(tc_fun(_u10546, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10546), _u10548)) | ( _u10548 = c_Orderings_Obot__class_Obot(tc_fun(_u10546, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10546, c_Orderings_Oord__class_Omin(_u10546), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10546, tc_HOL_Obool)), _u10547), _u10548)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10546), c_Big__Operators_Olattice_OInf__fin(_u10546, c_Orderings_Oord__class_Omin(_u10546), _u10547)), c_Big__Operators_Olattice_OInf__fin(_u10546, c_Orderings_Oord__class_Omin(_u10546), _u10548))) )).
% 12.21/12.46 cnf(matrix-5069, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10549, _u10550)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10550), _u10549))) )).
% 12.21/12.46 cnf(matrix-5070, plain, ( ~class_Orderings_Olinorder(_u10551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10551), _u10552)) | hBOOL(hAPP(hAPP(c_member(_u10551), _u10553), _u10552)) | ( _u10552 = c_Orderings_Obot__class_Obot(tc_fun(_u10551, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10551, c_Orderings_Oord__class_Omin(_u10551), hAPP(hAPP(c_Set_Oinsert(_u10551), _u10553), _u10552)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10551), _u10553), c_Big__Operators_Olattice_OInf__fin(_u10551, c_Orderings_Oord__class_Omin(_u10551), _u10552))) )).
% 12.21/12.46 cnf(matrix-5071, plain, ( ~class_Orderings_Olinorder(_u10554) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10554), _u10555), _u10556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10554), _u10556), _u10557)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10554, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10554, _u10555, _u10556)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10554, _u10556, _u10557)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10554, _u10555, _u10557)) )).
% 12.21/12.46 cnf(matrix-5072, plain, ( ~class_Orderings_Olinorder(_u10558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10558), _u10559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10558, tc_HOL_Obool)), _u10559), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10558, c_Orderings_Oord__class_Omin(_u10558), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), _u10559)) = _u10560) )).
% 12.21/12.46 cnf(matrix-5073, plain, ( ~class_Orderings_Olinorder(_u10558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10558), _u10559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10558, tc_HOL_Obool)), _u10559), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10558, c_Orderings_Oord__class_Omin(_u10558), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), _u10559)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10558), _u10560), c_Big__Operators_Olattice_OInf__fin(_u10558, c_Orderings_Oord__class_Omin(_u10558), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10558, tc_HOL_Obool)), _u10559), hAPP(hAPP(c_Set_Oinsert(_u10558), _u10560), c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5074, plain, ( ~class_Orderings_Olinorder(_u10561) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10561), _u10562)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10561), _u10563)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10561, tc_HOL_Obool)), _u10562), _u10563) = c_Orderings_Obot__class_Obot(tc_fun(_u10561, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10561), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10561, tc_HOL_Obool)), _u10562), _u10563))), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10561, tc_HOL_Obool)), _u10562), _u10563))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10561), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), _u10562)), c_Big__Operators_Olattice_OInf__fin(_u10561, c_Orderings_Oord__class_Omin(_u10561), _u10563))) )).
% 12.21/12.46 cnf(matrix-5075, plain, ( ~class_Orderings_Olinorder(_u10564) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10564), _u10565)) | ( _u10565 = c_Orderings_Obot__class_Obot(tc_fun(_u10564, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10564), _u10566)) | ( _u10566 = c_Orderings_Obot__class_Obot(tc_fun(_u10564, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10564, tc_HOL_Obool)), _u10565), _u10566) != c_Orderings_Obot__class_Obot(tc_fun(_u10564, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u10564, c_Orderings_Oord__class_Omin(_u10564), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10564, tc_HOL_Obool)), _u10565), _u10566)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10564), c_Big__Operators_Olattice_OInf__fin(_u10564, c_Orderings_Oord__class_Omin(_u10564), _u10565)), c_Big__Operators_Olattice_OInf__fin(_u10564, c_Orderings_Oord__class_Omin(_u10564), _u10566))) )).
% 12.21/12.46 cnf(matrix-5076, plain, ( ( c_Wellfounded_Omlex__prod(_u10567, _u10568, _u10569) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u10567), _u10567), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u10567, c_Wellfounded_Oless__than, _u10569)), hAPP(hAPP(c_COMBS(_u10567, _u10567, tc_prod(tc_Nat_Onat, _u10567)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10567, tc_prod(tc_Nat_Onat, _u10567)), _u10567), c_Product__Type_OPair(tc_Nat_Onat, _u10567)), _u10568)), c_COMBI(_u10567)))) )).
% 12.21/12.46 cnf(matrix-5077, plain, ( ~class_Orderings_Olinorder(_u10572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10572), _u10573)) | ( _u10573 = c_Orderings_Obot__class_Obot(tc_fun(_u10572, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10572), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10572), skolem179(_u10573, _u10572)), skolem180(_u10573, _u10572))), hAPP(hAPP(c_Set_Oinsert(_u10572), skolem179(_u10573, _u10572)), hAPP(hAPP(c_Set_Oinsert(_u10572), skolem180(_u10573, _u10572)), c_Orderings_Obot__class_Obot(tc_fun(_u10572, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10572), c_Big__Operators_Olattice_OInf__fin(_u10572, c_Orderings_Oord__class_Omin(_u10572), _u10573)), _u10573)) )).
% 12.21/12.46 cnf(matrix-5078, plain, ( ~class_Orderings_Olinorder(_u10574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10574), _u10575)) | ( _u10575 = c_Orderings_Obot__class_Obot(tc_fun(_u10574, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10574), _u10576), c_Big__Operators_Olattice_OInf__fin(_u10574, c_Orderings_Oord__class_Omin(_u10574), _u10575)) = c_Big__Operators_Olattice_OInf__fin(_u10574, c_Orderings_Oord__class_Omin(_u10574), hAPP(c_Set_OCollect(_u10574), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_HOL_Obool), tc_HOL_Obool, _u10574), c_HOL_OEx(_u10574)), hAPP(hAPP(c_COMBC(_u10574, tc_fun(_u10574, tc_HOL_Obool), tc_fun(_u10574, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10574, tc_HOL_Obool), tc_fun(_u10574, tc_HOL_Obool)), _u10574), c_COMBS(_u10574, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_HOL_Obool), tc_fun(_u10574, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10574), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10574), c_fconj)), hAPP(hAPP(c_COMBC(_u10574, tc_fun(_u10574, _u10574), tc_fun(_u10574, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10574, tc_HOL_Obool), tc_fun(tc_fun(_u10574, _u10574), tc_fun(_u10574, tc_HOL_Obool)), _u10574), c_COMBB(_u10574, tc_HOL_Obool, _u10574)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u10574), _u10576))))), hAPP(hAPP(c_COMBC(_u10574, tc_fun(_u10574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10574)), _u10575)))))) )).
% 12.21/12.46 cnf(matrix-5079, plain, ( ~class_Orderings_Olinorder(_u10577) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10577), _u10578)) | ( _u10578 = c_Orderings_Obot__class_Obot(tc_fun(_u10577, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10577), _u10579)) | ( _u10579 = c_Orderings_Obot__class_Obot(tc_fun(_u10577, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10577), c_Big__Operators_Olattice_OInf__fin(_u10577, c_Orderings_Oord__class_Omin(_u10577), _u10578)), c_Big__Operators_Olattice_OInf__fin(_u10577, c_Orderings_Oord__class_Omin(_u10577), _u10579)) = c_Big__Operators_Olattice_OInf__fin(_u10577, c_Orderings_Oord__class_Omin(_u10577), hAPP(c_Set_OCollect(_u10577), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool, _u10577), c_HOL_OEx(_u10577)), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_HOL_Obool), _u10577), hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool, _u10577), c_HOL_OEx(_u10577))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool))), tc_fun(tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), _u10577), c_COMBS(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u10577, tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool))), _u10577), hAPP(c_COMBB(tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool)), _u10577), c_COMBS(_u10577, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool)), tc_fun(_u10577, tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u10577), hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10577), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10577), c_fconj))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_fun(_u10577, _u10577)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10577, _u10577), tc_fun(_u10577, tc_HOL_Obool)), tc_fun(tc_fun(_u10577, tc_fun(_u10577, _u10577)), tc_fun(_u10577, tc_fun(_u10577, tc_HOL_Obool))), _u10577), c_COMBB(tc_fun(_u10577, _u10577), tc_fun(_u10577, tc_HOL_Obool), _u10577)), hAPP(hAPP(c_COMBB(tc_fun(_u10577, tc_HOL_Obool), tc_fun(tc_fun(_u10577, _u10577), tc_fun(_u10577, tc_HOL_Obool)), _u10577), c_COMBB(_u10577, tc_HOL_Obool, _u10577)), c_fequal))), c_Orderings_Oord__class_Omax(_u10577)))))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10577, tc_HOL_Obool), tc_fun(_u10577, tc_HOL_Obool)), _u10577), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10577)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10577), c_fconj), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10577)), _u10578)))), hAPP(hAPP(c_COMBC(_u10577, tc_fun(_u10577, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10577)), _u10579)))))))) )).
% 12.21/12.46 cnf(matrix-5080, plain, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.21/12.46 cnf(matrix-5081, plain, ( ~class_Groups_Oordered__ab__group__add(_u10580) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), _u10581), _u10582)), _u10583) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10580), _u10581), _u10583)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10580), _u10582), _u10583))) )).
% 12.21/12.46 cnf(matrix-5082, plain, ( ~class_Lattices_Osemilattice__sup(_u10584) | ~class_Orderings_Olinorder(_u10584) | ( c_Lattices_Osemilattice__sup__class_Osup(_u10584) = c_Orderings_Oord__class_Omax(_u10584)) )).
% 12.21/12.46 cnf(matrix-5083, plain, ( ~class_Orderings_Olinorder(_u10585) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10585), _u10586), _u10586) = _u10586) )).
% 12.21/12.46 cnf(matrix-5084, plain, ( ~class_Orderings_Olinorder(_u10587) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), _u10588), _u10589)), _u10590) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), _u10588), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10587), _u10589), _u10590))) )).
% 12.21/12.46 cnf(matrix-5085, plain, ( ~class_Orderings_Olinorder(_u10591) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), _u10592), _u10593)), _u10594) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), _u10592), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10591), _u10593), _u10594))) )).
% 12.21/12.46 cnf(matrix-5086, plain, ( ~class_Orderings_Olinorder(_u10595) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10596), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10597), _u10598)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10595), _u10596), _u10598))) )).
% 12.21/12.46 cnf(matrix-5087, plain, ( ~class_Orderings_Olinorder(_u10599) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10600), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10601), _u10602)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10601), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10599), _u10600), _u10602))) )).
% 12.21/12.46 cnf(matrix-5088, plain, ( ~class_Orderings_Olinorder(_u10603) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10603), _u10604), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10603), _u10604), _u10605)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10603), _u10604), _u10605)) )).
% 12.21/12.46 cnf(matrix-5089, plain, ( ~class_Orderings_Olinorder(_u10606) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10606), _u10607), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10606), _u10607), _u10608)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10606), _u10607), _u10608)) )).
% 12.21/12.46 cnf(matrix-5090, plain, ( ~class_Orderings_Olinorder(_u10609) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10609), _u10610), _u10611) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10609), _u10611), _u10610)) )).
% 12.21/12.46 cnf(matrix-5091, plain, ( ~class_Orderings_Olinorder(_u10612) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10612), _u10613), _u10614) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10612), _u10614), _u10613)) )).
% 12.21/12.46 cnf(matrix-5092, plain, ( ~class_Orderings_Olinorder(_u10615) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10615), _u10616), _u10616) = _u10616) )).
% 12.21/12.46 cnf(matrix-5093, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10617)), hAPP(c_Nat_OSuc, _u10618)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10617), _u10618))) )).
% 12.21/12.46 cnf(matrix-5094, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u10619) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10619), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10619), _u10620), _u10621)), _u10622) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10619), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10619), _u10620), _u10622)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10619), _u10621), _u10622))) )).
% 12.21/12.46 cnf(matrix-5095, plain, ( ~class_Orderings_Olinorder(_u10623) | ~class_Orderings_Olinorder(_u10624) | ~c_Orderings_Oorder__class_Omono(_u10624, _u10623, _u10625) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10623), hAPP(_u10625, _u10626)), hAPP(_u10625, _u10627)) = hAPP(_u10625, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10624), _u10626), _u10627))) )).
% 12.21/12.46 cnf(matrix-5096, plain, ( ~class_Orderings_Olinorder(_u10628) | c_Finite__Set_Ofun__left__comm__idem(_u10628, _u10628, c_Orderings_Oord__class_Omax(_u10628)) )).
% 12.21/12.46 cnf(matrix-5097, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10629), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10629) )).
% 12.21/12.46 cnf(matrix-5098, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10630) = _u10630) )).
% 12.21/12.46 cnf(matrix-5099, plain, ( ~class_Orderings_Olinorder(_u10631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10631), _u10632), _u10633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10631), _u10632), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10631), _u10634), _u10633))) )).
% 12.21/12.46 cnf(matrix-5100, plain, ( ~class_Orderings_Olinorder(_u10635) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10635), _u10636), _u10637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10635), _u10636), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10635), _u10637), _u10638))) )).
% 12.21/12.46 cnf(matrix-5101, plain, ( ~class_Orderings_Olinorder(_u10639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10639), _u10640), _u10641)), _u10642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10640), _u10642)) )).
% 12.21/12.46 cnf(matrix-5102, plain, ( ~class_Orderings_Olinorder(_u10639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10639), _u10640), _u10641)), _u10642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10641), _u10642)) )).
% 12.21/12.46 cnf(matrix-5103, plain, ( ~class_Orderings_Olinorder(_u10639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10640), _u10642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), _u10641), _u10642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10639), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10639), _u10640), _u10641)), _u10642)) )).
% 12.21/12.46 cnf(matrix-5104, plain, ( ~class_Orderings_Olinorder(_u10643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10643), _u10645), _u10646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10646)) )).
% 12.21/12.46 cnf(matrix-5105, plain, ( ~class_Orderings_Olinorder(_u10643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10643), _u10645), _u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10645)) )).
% 12.21/12.46 cnf(matrix-5106, plain, ( ~class_Orderings_Olinorder(_u10643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10643), _u10645), _u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10646)) )).
% 12.21/12.46 cnf(matrix-5107, plain, ( ~class_Orderings_Olinorder(_u10647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10647), _u10649), _u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10650)) )).
% 12.21/12.46 cnf(matrix-5108, plain, ( ~class_Orderings_Olinorder(_u10647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10647), _u10649), _u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10649)) )).
% 12.21/12.46 cnf(matrix-5109, plain, ( ~class_Orderings_Olinorder(_u10647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10647), _u10649), _u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10647), _u10648), _u10650)) )).
% 12.21/12.46 cnf(matrix-5110, plain, ( ~class_Orderings_Olinorder(_u10651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10651), _u10652), _u10653)), _u10654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), _u10652), _u10654)) )).
% 12.21/12.46 cnf(matrix-5111, plain, ( ~class_Orderings_Olinorder(_u10651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10651), _u10652), _u10653)), _u10654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10651), _u10653), _u10654)) )).
% 12.21/12.46 cnf(matrix-5112, plain, ( ~class_Orderings_Olinorder(_u10655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10655), _u10656), _u10657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10655), _u10658), _u10659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10655), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10655), _u10656), _u10658)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10655), _u10657), _u10659))) )).
% 12.21/12.46 cnf(matrix-5113, plain, ( ~class_Orderings_Olinorder(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), _u10662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10663), _u10662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10660), _u10661), _u10663)), _u10662)) )).
% 12.21/12.46 cnf(matrix-5114, plain, ( ~class_Orderings_Olinorder(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10667), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10664), _u10665), _u10667)), _u10666)) )).
% 12.21/12.46 cnf(matrix-5115, plain, ( ~class_Orderings_Olinorder(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10669), _u10670)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10668), _u10670), _u10669) = _u10670) )).
% 12.21/12.46 cnf(matrix-5116, plain, ( ~class_Orderings_Olinorder(_u10671) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10671), _u10672), _u10673)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10671), _u10672), _u10673) = _u10673) )).
% 12.21/12.46 cnf(matrix-5117, plain, ( ~class_Orderings_Olinorder(_u10674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10674), _u10675), _u10676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10674), _u10675), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10674), _u10677), _u10676))) )).
% 12.21/12.46 cnf(matrix-5118, plain, ( ~class_Orderings_Olinorder(_u10678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10678), _u10679), _u10680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10678), _u10679), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10678), _u10680), _u10681))) )).
% 12.21/12.46 cnf(matrix-5119, plain, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10682), _u10683), _u10684)), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10683), _u10685)) )).
% 12.21/12.46 cnf(matrix-5120, plain, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10682), _u10683), _u10684)), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10684), _u10685)) )).
% 12.21/12.46 cnf(matrix-5121, plain, ( ~class_Orderings_Olinorder(_u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10683), _u10685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), _u10684), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10682), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10682), _u10683), _u10684)), _u10685)) )).
% 12.21/12.46 cnf(matrix-5122, plain, ( ~class_Orderings_Olinorder(_u10686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10686), _u10687), _u10688)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10686), _u10687), _u10688) = _u10688) )).
% 12.21/12.46 cnf(matrix-5123, plain, ( ~class_Orderings_Olinorder(_u10686) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10686), _u10687), _u10688) != _u10688) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10686), _u10687), _u10688)) )).
% 12.21/12.46 cnf(matrix-5124, plain, ( ~class_Orderings_Olinorder(_u10689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10689), _u10690), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10689), _u10691), _u10690))) )).
% 12.21/12.46 cnf(matrix-5125, plain, ( ~class_Orderings_Olinorder(_u10692) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10692), _u10693), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10692), _u10693), _u10694))) )).
% 12.21/12.46 cnf(matrix-5126, plain, ( ~class_Orderings_Olinorder(_u10695) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10695), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10695), _u10696), _u10697)), _u10698) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10695), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10695), _u10696), _u10698)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10695), _u10697), _u10698))) )).
% 12.21/12.46 cnf(matrix-5127, plain, ( ~class_Orderings_Olinorder(_u10699) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10699), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10699), _u10700), _u10701)), _u10702) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10699), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10699), _u10700), _u10702)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10699), _u10701), _u10702))) )).
% 12.21/12.46 cnf(matrix-5128, plain, ( ~class_Orderings_Olinorder(_u10703) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10703), _u10704), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10703), _u10705), _u10706)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10703), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10703), _u10704), _u10705)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10703), _u10704), _u10706))) )).
% 12.21/12.46 cnf(matrix-5129, plain, ( ~class_Orderings_Olinorder(_u10707) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), _u10708), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10707), _u10709), _u10710)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10707), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), _u10708), _u10709)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10707), _u10708), _u10710))) )).
% 12.21/12.46 cnf(matrix-5130, plain, ( ~class_Orderings_Olinorder(_u10711) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10711), _u10712), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10711), _u10712), _u10713)) = _u10712) )).
% 12.21/12.46 cnf(matrix-5131, plain, ( ~class_Orderings_Olinorder(_u10714) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10714), _u10715), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10714), _u10715), _u10716)) = _u10715) )).
% 12.21/12.46 cnf(matrix-5132, plain, ( ~class_Int_Onumber(_u10717) | ~class_Orderings_Oord(_u10717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719)) )).
% 12.21/12.46 cnf(matrix-5133, plain, ( ~class_Int_Onumber(_u10717) | ~class_Orderings_Oord(_u10717) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10717), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)), hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10719)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10717), _u10718)) )).
% 12.21/12.46 cnf(matrix-5134, plain, ( ~class_Orderings_Olinorder(_u10720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10720), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), _u10721), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10720), _u10722), _u10723))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10720), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), _u10721), _u10722)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10720), _u10721), _u10723)))) )).
% 12.21/12.46 cnf(matrix-5135, plain, ( ~class_Orderings_Olinorder(_u10724) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10724), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10724), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10724), _u10725), _u10726)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10724), _u10725), _u10727))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10724), _u10725), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10724), _u10726), _u10727)))) )).
% 12.21/12.46 cnf(matrix-5136, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10728) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10728), _u10729), _u10730)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10728), hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10729)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10730))) )).
% 12.21/12.46 cnf(matrix-5137, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10731) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10731), _u10732), _u10733)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10731), hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10732)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10733))) )).
% 12.21/12.46 cnf(matrix-5138, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10734), _u10735)), _u10735) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10734), _u10735)) )).
% 12.21/12.46 cnf(matrix-5139, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10736)), _u10737) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10736), 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), _u10736)), _u10737)) )).
% 12.21/12.46 cnf(matrix-5140, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10738), hAPP(c_Nat_OSuc, _u10739)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10739), 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)), _u10739)), _u10738)) )).
% 12.21/12.46 cnf(matrix-5141, plain, ( ~class_Orderings_Oord(_u10740) | ( c_Orderings_Oord__class_Omax(_u10740) = c_Orderings_Oord_Omax(_u10740, c_Orderings_Oord__class_Oless__eq(_u10740))) )).
% 12.21/12.46 cnf(matrix-5142, plain, ( ~class_Orderings_Olinorder(_u10741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10741), _u10742)) | ~hBOOL(hAPP(hAPP(c_member(_u10741), _u10743), _u10742)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10741), _u10743), c_Big__Operators_Olinorder__class_OMax(_u10741, _u10742)) = c_Big__Operators_Olinorder__class_OMax(_u10741, _u10742)) )).
% 12.21/12.46 cnf(matrix-5143, plain, ( ~class_Lattices_Osemilattice__sup(_u10744) | ~class_Orderings_Olinorder(_u10745) | ~c_Orderings_Oorder__class_Omono(_u10745, _u10744, _u10746) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10744), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10744), hAPP(_u10746, _u10747)), hAPP(_u10746, _u10748))), hAPP(_u10746, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10745), _u10747), _u10748)))) )).
% 12.21/12.46 cnf(matrix-5144, plain, ( ~class_Orderings_Olinorder(_u10749) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10749, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, _u10750, _u10751)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, _u10752, _u10753)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10749, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10749), _u10750), _u10752), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10749), _u10751), _u10753))) )).
% 12.21/12.46 cnf(matrix-5145, plain, ( ~class_Orderings_Olinorder(_u10754) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10754, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10754, _u10755, _u10756)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10754, _u10757, _u10758)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10754, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10754), _u10755), _u10757), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10754), _u10756), _u10758))) )).
% 12.21/12.46 cnf(matrix-5146, plain, ( ~class_Orderings_Olinorder(_u10759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10759), _u10760)) | ( c_Big__Operators_Olinorder__class_OMax(_u10759, _u10760) = hAPP(c_Finite__Set_Ofold1(_u10759, c_Orderings_Oord__class_Omax(_u10759)), _u10760)) )).
% 12.21/12.46 cnf(matrix-5147, plain, ( ~class_Orderings_Olinorder(_u10761) | ( c_Orderings_Oord_Omin(_u10761, hAPP(c_COMBC(_u10761, _u10761, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10761))) = c_Orderings_Oord__class_Omax(_u10761)) )).
% 12.21/12.46 cnf(matrix-5148, plain, ( ~class_Orderings_Olinorder(_u10762) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10762), _u10763)) | ( _u10763 = c_Orderings_Obot__class_Obot(tc_fun(_u10762, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10762, hAPP(hAPP(c_Set_Oinsert(_u10762), _u10764), _u10763)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10762), _u10764), c_Big__Operators_Olinorder__class_OMax(_u10762, _u10763))) )).
% 12.21/12.46 cnf(matrix-5149, plain, ( ~class_Orderings_Olinorder(_u10765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10765), _u10766)) | ( _u10767 = c_Orderings_Obot__class_Obot(tc_fun(_u10765, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10765, tc_HOL_Obool)), _u10767), _u10766)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10765), c_Big__Operators_Olinorder__class_OMax(_u10765, _u10767)), c_Big__Operators_Olinorder__class_OMax(_u10765, _u10766)) = c_Big__Operators_Olinorder__class_OMax(_u10765, _u10766)) )).
% 12.21/12.46 cnf(matrix-5150, plain, ( ~class_Orderings_Olinorder(_u10768) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10768), _u10769)) | ~hBOOL(hAPP(hAPP(c_member(_u10768), _u10770), _u10769)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10768), _u10770), c_Big__Operators_Olattice_OInf__fin(_u10768, c_Orderings_Oord__class_Omin(_u10768), _u10769)) = _u10770) )).
% 12.21/12.46 cnf(matrix-5151, plain, ( ~class_Orderings_Olinorder(_u10771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10771), _u10772)) | ( _u10772 = c_Orderings_Obot__class_Obot(tc_fun(_u10771, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10771), _u10773)) | ( _u10773 = c_Orderings_Obot__class_Obot(tc_fun(_u10771, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10771, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10771, tc_HOL_Obool)), _u10772), _u10773)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10771), c_Big__Operators_Olinorder__class_OMax(_u10771, _u10772)), c_Big__Operators_Olinorder__class_OMax(_u10771, _u10773))) )).
% 12.21/12.46 cnf(matrix-5152, plain, ( ~class_Orderings_Olinorder(_u10774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10774), _u10775)) | hBOOL(hAPP(hAPP(c_member(_u10774), _u10776), _u10775)) | ( _u10775 = c_Orderings_Obot__class_Obot(tc_fun(_u10774, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10774, hAPP(hAPP(c_Set_Oinsert(_u10774), _u10776), _u10775)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10774), _u10776), c_Big__Operators_Olinorder__class_OMax(_u10774, _u10775))) )).
% 12.21/12.46 cnf(matrix-5153, plain, ( ~class_Orderings_Olinorder(_u10777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10777), _u10778)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10777, tc_HOL_Obool)), _u10778), hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10777, hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), _u10778)) = _u10779) )).
% 12.21/12.46 cnf(matrix-5154, plain, ( ~class_Orderings_Olinorder(_u10777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10777), _u10778)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10777, tc_HOL_Obool)), _u10778), hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10777, hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), _u10778)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10777), _u10779), c_Big__Operators_Olinorder__class_OMax(_u10777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10777, tc_HOL_Obool)), _u10778), hAPP(hAPP(c_Set_Oinsert(_u10777), _u10779), c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5155, plain, ( ~class_Orderings_Olinorder(_u10780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10780), _u10781)) | ( _u10781 = c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10780), _u10782)) | ( _u10782 = c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10780, tc_HOL_Obool)), _u10781), _u10782) != c_Orderings_Obot__class_Obot(tc_fun(_u10780, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10780, tc_HOL_Obool)), _u10781), _u10782)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10780), c_Big__Operators_Olinorder__class_OMax(_u10780, _u10781)), c_Big__Operators_Olinorder__class_OMax(_u10780, _u10782))) )).
% 12.21/12.46 cnf(matrix-5156, plain, ( ~class_Orderings_Olinorder(_u10783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10783), _u10784)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10783), _u10785)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10783, tc_HOL_Obool)), _u10784), _u10785) = c_Orderings_Obot__class_Obot(tc_fun(_u10783, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10783), c_Big__Operators_Olinorder__class_OMax(_u10783, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10783, tc_HOL_Obool)), _u10784), _u10785))), c_Big__Operators_Olinorder__class_OMax(_u10783, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10783, tc_HOL_Obool)), _u10784), _u10785))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10783), c_Big__Operators_Olinorder__class_OMax(_u10783, _u10784)), c_Big__Operators_Olinorder__class_OMax(_u10783, _u10785))) )).
% 12.21/12.46 cnf(matrix-5157, plain, ( ~class_Orderings_Olinorder(_u10786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10786), _u10787)) | ~hBOOL(hAPP(hAPP(c_member(_u10786), _u10788), _u10787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10786, tc_HOL_Obool)), _u10787), hAPP(hAPP(c_Set_Oinsert(_u10786), _u10788), c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10786, _u10787) = _u10788) )).
% 12.21/12.46 cnf(matrix-5158, plain, ( ~class_Orderings_Olinorder(_u10786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10786), _u10787)) | ~hBOOL(hAPP(hAPP(c_member(_u10786), _u10788), _u10787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10786, tc_HOL_Obool)), _u10787), hAPP(hAPP(c_Set_Oinsert(_u10786), _u10788), c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u10786, _u10787) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10786), _u10788), c_Big__Operators_Olinorder__class_OMax(_u10786, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10786, tc_HOL_Obool)), _u10787), hAPP(hAPP(c_Set_Oinsert(_u10786), _u10788), c_Orderings_Obot__class_Obot(tc_fun(_u10786, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5159, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10789)), hAPP(c_Nat_OSuc, _u10790)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10789))), 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, _u10790))), 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)), _u10790))))) )).
% 12.21/12.46 cnf(matrix-5160, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10792)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10792))), 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, _u10791))), 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), _u10791)), c_Int_Onat))))) )).
% 12.21/12.46 cnf(matrix-5161, plain, ( ~c_Typedef_Otype__definition(_u10793, _u10794, _u10795, _u10796, _u10797) | ( hAPP(c_Set_Oimage(_u10794, _u10793, _u10796), _u10797) = c_Orderings_Otop__class_Otop(tc_fun(_u10793, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5162, plain, ( ~c_Typedef_Otype__definition(_u10798, _u10799, _u10800, _u10801, _u10802) | ( hAPP(c_Set_Oimage(_u10798, _u10799, _u10800), c_Orderings_Otop__class_Otop(tc_fun(_u10798, tc_HOL_Obool))) = _u10802) )).
% 12.21/12.46 cnf(matrix-5163, plain, ( ~class_Orderings_Olinorder(_u10803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10803), _u10804)) | ( _u10804 = c_Orderings_Obot__class_Obot(tc_fun(_u10803, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10803), _u10805)) | ( _u10805 = c_Orderings_Obot__class_Obot(tc_fun(_u10803, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10803), c_Big__Operators_Olattice_OSup__fin(_u10803, c_Orderings_Oord__class_Omax(_u10803), _u10804)), c_Big__Operators_Olattice_OSup__fin(_u10803, c_Orderings_Oord__class_Omax(_u10803), _u10805)) = c_Big__Operators_Olattice_OSup__fin(_u10803, c_Orderings_Oord__class_Omax(_u10803), hAPP(c_Set_OCollect(_u10803), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool, _u10803), c_HOL_OEx(_u10803)), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_HOL_Obool), _u10803), hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool, _u10803), c_HOL_OEx(_u10803))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool))), tc_fun(tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), _u10803), c_COMBS(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u10803, tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool))), _u10803), hAPP(c_COMBB(tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool)), _u10803), c_COMBS(_u10803, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool)), tc_fun(_u10803, tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u10803), hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10803), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10803), c_fconj))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_fun(_u10803, _u10803)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10803, _u10803), tc_fun(_u10803, tc_HOL_Obool)), tc_fun(tc_fun(_u10803, tc_fun(_u10803, _u10803)), tc_fun(_u10803, tc_fun(_u10803, tc_HOL_Obool))), _u10803), c_COMBB(tc_fun(_u10803, _u10803), tc_fun(_u10803, tc_HOL_Obool), _u10803)), hAPP(hAPP(c_COMBB(tc_fun(_u10803, tc_HOL_Obool), tc_fun(tc_fun(_u10803, _u10803), tc_fun(_u10803, tc_HOL_Obool)), _u10803), c_COMBB(_u10803, tc_HOL_Obool, _u10803)), c_fequal))), c_Orderings_Oord__class_Omin(_u10803)))))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10803, tc_HOL_Obool), tc_fun(_u10803, tc_HOL_Obool)), _u10803), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10803)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10803), c_fconj), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10803)), _u10804)))), hAPP(hAPP(c_COMBC(_u10803, tc_fun(_u10803, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10803)), _u10805)))))))) )).
% 12.21/12.46 cnf(matrix-5164, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5165, plain, ( ~class_Orderings_Olinorder(_u10806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10806), _u10807)) | ~hBOOL(hAPP(hAPP(c_member(_u10806), _u10808), _u10807)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10806), _u10808), c_Big__Operators_Olattice_OSup__fin(_u10806, c_Orderings_Oord__class_Omax(_u10806), _u10807)) = c_Big__Operators_Olattice_OSup__fin(_u10806, c_Orderings_Oord__class_Omax(_u10806), _u10807)) )).
% 12.21/12.46 cnf(matrix-5166, plain, ( ~class_Orderings_Olinorder(_u10809) | ( c_Big__Operators_Olattice_OSup__fin(_u10809, c_Orderings_Oord__class_Omax(_u10809), hAPP(hAPP(c_Set_Oinsert(_u10809), _u10810), c_Orderings_Obot__class_Obot(tc_fun(_u10809, tc_HOL_Obool)))) = _u10810) )).
% 12.21/12.46 cnf(matrix-5167, plain, ( ~class_Orderings_Olinorder(_u10811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10811), _u10812)) | ( c_Big__Operators_Olattice_OSup__fin(_u10811, c_Orderings_Oord__class_Omax(_u10811), _u10812) = hAPP(c_Finite__Set_Ofold1(_u10811, c_Orderings_Oord__class_Omax(_u10811)), _u10812)) )).
% 12.21/12.46 cnf(matrix-5168, plain, ( ~c_Typedef_Otype__definition(_u10813, _u10814, _u10815, _u10816, _u10817) | ( hAPP(_u10815, _u10818) != hAPP(_u10815, _u10819)) | ( _u10818 = _u10819) )).
% 12.21/12.46 cnf(matrix-5169, plain, ( ~c_Typedef_Otype__definition(_u10813, _u10814, _u10815, _u10816, _u10817) | ( _u10818 != _u10819) | ( hAPP(_u10815, _u10818) = hAPP(_u10815, _u10819)) )).
% 12.21/12.46 cnf(matrix-5170, plain, ( ( hAPP(_u10823, hAPP(_u10822, _u10825)) = _u10825) | ~c_Typedef_Otype__definition(_u10820, _u10821, _u10822, _u10823, _u10824) )).
% 12.21/12.46 cnf(matrix-5171, plain, ( ~class_Orderings_Olinorder(_u10826) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10826), _u10827)) | ( _u10827 = c_Orderings_Obot__class_Obot(tc_fun(_u10826, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10826, c_Orderings_Oord__class_Omax(_u10826), hAPP(hAPP(c_Set_Oinsert(_u10826), _u10828), _u10827)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10826), _u10828), c_Big__Operators_Olattice_OSup__fin(_u10826, c_Orderings_Oord__class_Omax(_u10826), _u10827))) )).
% 12.21/12.46 cnf(matrix-5172, plain, ( ~class_Orderings_Olinorder(_u10829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10829), _u10830)) | ( _u10831 = c_Orderings_Obot__class_Obot(tc_fun(_u10829, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10829, tc_HOL_Obool)), _u10831), _u10830)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10829), c_Big__Operators_Olattice_OSup__fin(_u10829, c_Orderings_Oord__class_Omax(_u10829), _u10831)), c_Big__Operators_Olattice_OSup__fin(_u10829, c_Orderings_Oord__class_Omax(_u10829), _u10830)) = c_Big__Operators_Olattice_OSup__fin(_u10829, c_Orderings_Oord__class_Omax(_u10829), _u10830)) )).
% 12.21/12.46 cnf(matrix-5173, plain, ( ~class_Orderings_Olinorder(_u10832) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10832), _u10833)) | ~hBOOL(hAPP(hAPP(c_member(_u10832), _u10834), _u10833)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10832), _u10834), c_Big__Operators_Olattice_OSup__fin(_u10832, c_Orderings_Oord__class_Omax(_u10832), _u10833)) = _u10834) )).
% 12.21/12.46 cnf(matrix-5174, plain, ( ~class_Orderings_Olinorder(_u10835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10835), _u10836)) | ( _u10836 = c_Orderings_Obot__class_Obot(tc_fun(_u10835, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10835), _u10837)) | ( _u10837 = c_Orderings_Obot__class_Obot(tc_fun(_u10835, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10835, c_Orderings_Oord__class_Omax(_u10835), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10835, tc_HOL_Obool)), _u10836), _u10837)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10835), c_Big__Operators_Olattice_OSup__fin(_u10835, c_Orderings_Oord__class_Omax(_u10835), _u10836)), c_Big__Operators_Olattice_OSup__fin(_u10835, c_Orderings_Oord__class_Omax(_u10835), _u10837))) )).
% 12.21/12.46 cnf(matrix-5175, plain, ( ~class_Orderings_Olinorder(_u10838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10838), _u10839)) | hBOOL(hAPP(hAPP(c_member(_u10838), _u10840), _u10839)) | ( _u10839 = c_Orderings_Obot__class_Obot(tc_fun(_u10838, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10838, c_Orderings_Oord__class_Omax(_u10838), hAPP(hAPP(c_Set_Oinsert(_u10838), _u10840), _u10839)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10838), _u10840), c_Big__Operators_Olattice_OSup__fin(_u10838, c_Orderings_Oord__class_Omax(_u10838), _u10839))) )).
% 12.21/12.46 cnf(matrix-5176, plain, ( ~class_Orderings_Olinorder(_u10841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10841), _u10842)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10841, tc_HOL_Obool)), _u10842), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10841, c_Orderings_Oord__class_Omax(_u10841), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), _u10842)) = _u10843) )).
% 12.21/12.46 cnf(matrix-5177, plain, ( ~class_Orderings_Olinorder(_u10841) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10841), _u10842)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10841, tc_HOL_Obool)), _u10842), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10841, c_Orderings_Oord__class_Omax(_u10841), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), _u10842)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10841), _u10843), c_Big__Operators_Olattice_OSup__fin(_u10841, c_Orderings_Oord__class_Omax(_u10841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10841, tc_HOL_Obool)), _u10842), hAPP(hAPP(c_Set_Oinsert(_u10841), _u10843), c_Orderings_Obot__class_Obot(tc_fun(_u10841, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5178, plain, ( ~class_Orderings_Olinorder(_u10844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10844), _u10845)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10844), _u10846)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10844, tc_HOL_Obool)), _u10845), _u10846) = c_Orderings_Obot__class_Obot(tc_fun(_u10844, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10844), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10844, tc_HOL_Obool)), _u10845), _u10846))), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10844, tc_HOL_Obool)), _u10845), _u10846))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10844), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), _u10845)), c_Big__Operators_Olattice_OSup__fin(_u10844, c_Orderings_Oord__class_Omax(_u10844), _u10846))) )).
% 12.21/12.46 cnf(matrix-5179, plain, ( ~class_Orderings_Olinorder(_u10847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10847), _u10848)) | ( _u10848 = c_Orderings_Obot__class_Obot(tc_fun(_u10847, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10847), _u10849)) | ( _u10849 = c_Orderings_Obot__class_Obot(tc_fun(_u10847, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10847, tc_HOL_Obool)), _u10848), _u10849) != c_Orderings_Obot__class_Obot(tc_fun(_u10847, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10847, c_Orderings_Oord__class_Omax(_u10847), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10847, tc_HOL_Obool)), _u10848), _u10849)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10847), c_Big__Operators_Olattice_OSup__fin(_u10847, c_Orderings_Oord__class_Omax(_u10847), _u10848)), c_Big__Operators_Olattice_OSup__fin(_u10847, c_Orderings_Oord__class_Omax(_u10847), _u10849))) )).
% 12.21/12.46 cnf(matrix-5180, plain, ( ~class_Orderings_Olinorder(_u10850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10850), _u10851)) | ~hBOOL(hAPP(hAPP(c_member(_u10850), _u10852), _u10851)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10850, tc_HOL_Obool)), _u10851), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10852), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10850, c_Orderings_Oord__class_Omax(_u10850), _u10851) = _u10852) )).
% 12.21/12.46 cnf(matrix-5181, plain, ( ~class_Orderings_Olinorder(_u10850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10850), _u10851)) | ~hBOOL(hAPP(hAPP(c_member(_u10850), _u10852), _u10851)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10850, tc_HOL_Obool)), _u10851), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10852), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u10850, c_Orderings_Oord__class_Omax(_u10850), _u10851) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10850), _u10852), c_Big__Operators_Olattice_OSup__fin(_u10850, c_Orderings_Oord__class_Omax(_u10850), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10850, tc_HOL_Obool)), _u10851), hAPP(hAPP(c_Set_Oinsert(_u10850), _u10852), c_Orderings_Obot__class_Obot(tc_fun(_u10850, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5182, plain, ( ~class_Orderings_Olinorder(_u10853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10853), _u10854)) | ( _u10854 = c_Orderings_Obot__class_Obot(tc_fun(_u10853, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10853), c_Big__Operators_Olattice_OInf__fin(_u10853, c_Orderings_Oord__class_Omin(_u10853), _u10854)), c_Big__Operators_Olattice_OSup__fin(_u10853, c_Orderings_Oord__class_Omax(_u10853), _u10854))) )).
% 12.21/12.46 cnf(matrix-5183, plain, ( ~c_Typedef_Otype__definition(_u10855, _u10856, _u10857, _u10858, _u10859) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10860), _u10859)) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10861), _u10859)) | ( hAPP(_u10858, _u10860) != hAPP(_u10858, _u10861)) | ( _u10860 = _u10861) )).
% 12.21/12.46 cnf(matrix-5184, plain, ( ~c_Typedef_Otype__definition(_u10855, _u10856, _u10857, _u10858, _u10859) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10860), _u10859)) | ~hBOOL(hAPP(hAPP(c_member(_u10856), _u10861), _u10859)) | ( _u10860 != _u10861) | ( hAPP(_u10858, _u10860) = hAPP(_u10858, _u10861)) )).
% 12.21/12.46 cnf(matrix-5185, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10863), _u10867), _u10866)) | ( hAPP(_u10864, hAPP(_u10865, _u10867)) = _u10867) | ~c_Typedef_Otype__definition(_u10862, _u10863, _u10864, _u10865, _u10866) )).
% 12.21/12.46 cnf(matrix-5186, plain, ( hBOOL(hAPP(hAPP(c_member(_u10869), hAPP(_u10870, _u10873)), _u10872)) | ~c_Typedef_Otype__definition(_u10868, _u10869, _u10870, _u10871, _u10872) )).
% 12.21/12.46 cnf(matrix-5187, plain, ( ~class_Orderings_Olinorder(_u10874) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10874), _u10875)) | ( _u10875 = c_Orderings_Obot__class_Obot(tc_fun(_u10874, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10874), _u10876), c_Big__Operators_Olattice_OSup__fin(_u10874, c_Orderings_Oord__class_Omax(_u10874), _u10875)) = c_Big__Operators_Olattice_OSup__fin(_u10874, c_Orderings_Oord__class_Omax(_u10874), hAPP(c_Set_OCollect(_u10874), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_HOL_Obool), tc_HOL_Obool, _u10874), c_HOL_OEx(_u10874)), hAPP(hAPP(c_COMBC(_u10874, tc_fun(_u10874, tc_HOL_Obool), tc_fun(_u10874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u10874, tc_HOL_Obool), tc_fun(_u10874, tc_HOL_Obool)), _u10874), c_COMBS(_u10874, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_HOL_Obool), tc_fun(_u10874, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10874), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10874), c_fconj)), hAPP(hAPP(c_COMBC(_u10874, tc_fun(_u10874, _u10874), tc_fun(_u10874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10874, tc_HOL_Obool), tc_fun(tc_fun(_u10874, _u10874), tc_fun(_u10874, tc_HOL_Obool)), _u10874), c_COMBB(_u10874, tc_HOL_Obool, _u10874)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u10874), _u10876))))), hAPP(hAPP(c_COMBC(_u10874, tc_fun(_u10874, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10874)), _u10875)))))) )).
% 12.21/12.46 cnf(matrix-5188, plain, ( ~class_Orderings_Olinorder(_u10879) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10879), _u10880)) | ( _u10880 = c_Orderings_Obot__class_Obot(tc_fun(_u10879, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10879), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10879), skolem181(_u10880, _u10879)), skolem182(_u10880, _u10879))), hAPP(hAPP(c_Set_Oinsert(_u10879), skolem181(_u10880, _u10879)), hAPP(hAPP(c_Set_Oinsert(_u10879), skolem182(_u10880, _u10879)), c_Orderings_Obot__class_Obot(tc_fun(_u10879, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10879), c_Big__Operators_Olattice_OSup__fin(_u10879, c_Orderings_Oord__class_Omax(_u10879), _u10880)), _u10880)) )).
% 12.21/12.46 cnf(matrix-5189, plain, ( ~class_Orderings_Olinorder(_u10883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10883), _u10884)) | ( _u10884 = c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10883), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10883), skolem183(_u10884, _u10883)), skolem184(_u10884, _u10883))), hAPP(hAPP(c_Set_Oinsert(_u10883), skolem183(_u10884, _u10883)), hAPP(hAPP(c_Set_Oinsert(_u10883), skolem184(_u10884, _u10883)), c_Orderings_Obot__class_Obot(tc_fun(_u10883, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10883), c_Big__Operators_Olinorder__class_OMax(_u10883, _u10884)), _u10884)) )).
% 12.21/12.46 cnf(matrix-5190, plain, ( ~class_Orderings_Olinorder(_u10887) | ( hAPP(_u10888, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10887), skolem185(_u10889, _u10888, _u10887)), skolem186(_u10889, _u10888, _u10887))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10887), hAPP(_u10888, skolem185(_u10889, _u10888, _u10887))), hAPP(_u10888, skolem186(_u10889, _u10888, _u10887)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10887), _u10889)) | ( _u10889 = c_Orderings_Obot__class_Obot(tc_fun(_u10887, tc_HOL_Obool))) | ( hAPP(_u10888, c_Big__Operators_Olattice_OSup__fin(_u10887, c_Orderings_Oord__class_Omax(_u10887), _u10889)) = c_Big__Operators_Olattice_OSup__fin(_u10887, c_Orderings_Oord__class_Omax(_u10887), hAPP(c_Set_Oimage(_u10887, _u10887, _u10888), _u10889))) )).
% 12.21/12.46 cnf(matrix-5191, plain, ( ~class_Orderings_Olinorder(_u10892) | ( hAPP(_u10893, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10892), skolem187(_u10894, _u10893, _u10892)), skolem188(_u10894, _u10893, _u10892))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10892), hAPP(_u10893, skolem187(_u10894, _u10893, _u10892))), hAPP(_u10893, skolem188(_u10894, _u10893, _u10892)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10892), _u10894)) | ( _u10894 = c_Orderings_Obot__class_Obot(tc_fun(_u10892, tc_HOL_Obool))) | ( hAPP(_u10893, c_Big__Operators_Olattice_OInf__fin(_u10892, c_Orderings_Oord__class_Omin(_u10892), _u10894)) = c_Big__Operators_Olattice_OInf__fin(_u10892, c_Orderings_Oord__class_Omin(_u10892), hAPP(c_Set_Oimage(_u10892, _u10892, _u10893), _u10894))) )).
% 12.21/12.46 cnf(matrix-5192, plain, ( ~class_Orderings_Olinorder(_u10897) | ( hAPP(_u10898, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10897), skolem189(_u10899, _u10898, _u10897)), skolem190(_u10899, _u10898, _u10897))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10897), hAPP(_u10898, skolem189(_u10899, _u10898, _u10897))), hAPP(_u10898, skolem190(_u10899, _u10898, _u10897)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10897), _u10899)) | ( _u10899 = c_Orderings_Obot__class_Obot(tc_fun(_u10897, tc_HOL_Obool))) | ( hAPP(_u10898, c_Big__Operators_Olinorder__class_OMax(_u10897, _u10899)) = c_Big__Operators_Olinorder__class_OMax(_u10897, hAPP(c_Set_Oimage(_u10897, _u10897, _u10898), _u10899))) )).
% 12.21/12.46 cnf(matrix-5193, plain, ( ~class_Orderings_Olinorder(_u10902) | ( hAPP(_u10903, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10902), skolem191(_u10904, _u10903, _u10902)), skolem192(_u10904, _u10903, _u10902))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10902), hAPP(_u10903, skolem191(_u10904, _u10903, _u10902))), hAPP(_u10903, skolem192(_u10904, _u10903, _u10902)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10902), _u10904)) | ( _u10904 = c_Orderings_Obot__class_Obot(tc_fun(_u10902, tc_HOL_Obool))) | ( hAPP(_u10903, c_Big__Operators_Olinorder__class_OMin(_u10902, _u10904)) = c_Big__Operators_Olinorder__class_OMin(_u10902, hAPP(c_Set_Oimage(_u10902, _u10902, _u10903), _u10904))) )).
% 12.21/12.46 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10909)) | ~hBOOL(hAPP(_u10908, _u10906)) | hBOOL(hAPP(_u10908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10909), _u10907)))) | hBOOL(hAPP(_u10908, skolem193(_u10909, _u10908, _u10907))) )).
% 12.21/12.46 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10909)) | ~hBOOL(hAPP(_u10908, _u10906)) | hBOOL(hAPP(_u10908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10909), _u10907)))) | ~hBOOL(hAPP(_u10908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem193(_u10909, _u10908, _u10907)), _u10907))) )).
% 12.21/12.46 cnf(matrix-5196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10911), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10911 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem194(_u10911))))) )).
% 12.21/12.46 cnf(matrix-5197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10916)) | ~hBOOL(hAPP(_u10915, _u10913)) | hBOOL(hAPP(_u10915, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10916), _u10914)))) | hBOOL(hAPP(_u10915, skolem195(_u10916, _u10915, _u10914))) )).
% 12.21/12.46 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10916)) | ~hBOOL(hAPP(_u10915, _u10913)) | hBOOL(hAPP(_u10915, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10916), _u10914)))) | ~hBOOL(hAPP(_u10915, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem195(_u10916, _u10915, _u10914)), _u10914))) )).
% 12.21/12.46 cnf(matrix-5199, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10918) | ~c_Fun_Oinj__on(_u10919, _u10920, _u10921, _u10922) | ( _u10923 != hAPP(c_Set_Oimage(_u10919, _u10920, _u10921), _u10922)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10920, _u10918), _u10925), _u10923) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, _u10918), _u10924), _u10922)) | hBOOL(hAPP(hAPP(c_member(_u10919), skolem196(_u10925, _u10924, _u10923, _u10922, _u10921, _u10920, _u10919, _u10918)), _u10922)) )).
% 12.21/12.46 cnf(matrix-5200, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10918) | ~c_Fun_Oinj__on(_u10919, _u10920, _u10921, _u10922) | ( _u10923 != hAPP(c_Set_Oimage(_u10919, _u10920, _u10921), _u10922)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10920, _u10918), _u10925), _u10923) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10919, _u10918), _u10924), _u10922)) | ( hAPP(_u10924, skolem196(_u10925, _u10924, _u10923, _u10922, _u10921, _u10920, _u10919, _u10918)) != hAPP(hAPP(c_Fun_Ocomp(_u10920, _u10918, _u10919, _u10925), _u10921), skolem196(_u10925, _u10924, _u10923, _u10922, _u10921, _u10920, _u10919, _u10918))) )).
% 12.21/12.46 cnf(matrix-5201, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10928), _u10929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10928, tc_HOL_Obool)), _u10930), _u10929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10930) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10929)) | hBOOL(hAPP(hAPP(c_member(_u10928), skolem197(_u10931, _u10930, _u10929, _u10928, _u10927)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10928, tc_HOL_Obool)), _u10929), _u10930))) )).
% 12.21/12.46 cnf(matrix-5202, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10928), _u10929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10928, tc_HOL_Obool)), _u10930), _u10929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10930) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10928, _u10927), _u10931), _u10929)) | ( hAPP(_u10931, skolem197(_u10931, _u10930, _u10929, _u10928, _u10927)) != c_Groups_Oone__class_Oone(_u10927)) )).
% 12.21/12.46 cnf(matrix-5203, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10934), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10934, tc_HOL_Obool)), _u10936), _u10935)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10936)) | hBOOL(hAPP(hAPP(c_member(_u10934), skolem198(_u10937, _u10936, _u10935, _u10934, _u10933)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10934, tc_HOL_Obool)), _u10935), _u10936))) )).
% 12.21/12.46 cnf(matrix-5204, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10934), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10934, tc_HOL_Obool)), _u10936), _u10935)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10934, _u10933), _u10937), _u10936)) | ( hAPP(_u10937, skolem198(_u10937, _u10936, _u10935, _u10934, _u10933)) != c_Groups_Oone__class_Oone(_u10933)) )).
% 12.21/12.46 cnf(matrix-5205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem199(_u10939))) )).
% 12.21/12.46 cnf(matrix-5206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10939)) | ( _u10939 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem199(_u10939))) )).
% 12.21/12.46 cnf(matrix-5207, plain, ( ~class_Orderings_Olinorder(_u10940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10940), _u10941), _u10942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10940), _u10942), _u10943)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10940, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10940, _u10941, _u10942)), c_SetInterval_Oord__class_OatLeastAtMost(_u10940, _u10942, _u10943)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10940, _u10941, _u10943)) )).
% 12.21/12.46 cnf(matrix-5208, plain, ( ~class_Orderings_Olinorder(_u10944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10944), _u10945), _u10946)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10944, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10944), _u10945), c_Orderings_Obot__class_Obot(tc_fun(_u10944, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10944, _u10945, _u10946)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10944, _u10945), _u10946)) )).
% 12.21/12.46 cnf(matrix-5209, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10947), _u10948))) )).
% 12.21/12.46 cnf(matrix-5210, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10949, _u10950))) )).
% 12.21/12.46 cnf(matrix-5211, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10951, _u10952))) )).
% 12.21/12.46 cnf(matrix-5212, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10953), _u10954))) )).
% 12.21/12.46 cnf(matrix-5213, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10955, _u10956) = 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), _u10955), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10956)))) )).
% 12.21/12.46 cnf(matrix-5214, 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)), _u10957)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10958), _u10959)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10958), _u10957)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10959), _u10957))) )).
% 12.21/12.46 cnf(matrix-5215, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10960), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10961), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10960, _u10961)) )).
% 12.21/12.46 cnf(matrix-5216, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10962), _u10963)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10962)), hAPP(c_Nat_OSuc, _u10963))) )).
% 12.21/12.46 cnf(matrix-5217, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10964, _u10965)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10964), hAPP(c_Nat_OSuc, _u10965))) )).
% 12.21/12.46 cnf(matrix-5218, 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)), _u10966)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10967, _u10968)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10967), _u10966), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10968), _u10966))) )).
% 12.21/12.46 cnf(matrix-5219, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10969), hAPP(c_Nat_OSuc, _u10970)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10969, _u10970)) )).
% 12.21/12.46 cnf(matrix-5220, plain, ( ~class_Orderings_Olinorder(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10972), _u10973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10974), _u10975)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10972), _u10973) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10974), _u10975)) | ( _u10972 = _u10974) )).
% 12.21/12.46 cnf(matrix-5221, plain, ( ~class_Orderings_Olinorder(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10972), _u10973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10974), _u10975)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10972), _u10973) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10974), _u10975)) | ( _u10973 = _u10975) )).
% 12.21/12.46 cnf(matrix-5222, plain, ( ~class_Orderings_Olinorder(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10972), _u10973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), _u10974), _u10975)) | ( _u10972 != _u10974) | ( _u10973 != _u10975) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10972), _u10973) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10971, _u10974), _u10975)) )).
% 12.21/12.46 cnf(matrix-5223, plain, ( ~class_Orderings_Olinorder(_u10976) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10976, _u10977), _u10978) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10976, _u10979), _u10980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10976), _u10977), _u10978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10976), _u10979), _u10980)) | ( _u10977 = _u10979) )).
% 12.21/12.46 cnf(matrix-5224, plain, ( ~class_Orderings_Olinorder(_u10981) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10981, _u10982), _u10983) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10981, _u10984), _u10985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10981), _u10982), _u10983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10981), _u10984), _u10985)) | ( _u10983 = _u10985) )).
% 12.21/12.46 cnf(matrix-5225, plain, ( ~class_Orderings_Oorder(_u10986) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10986, _u10987), _u10988)), c_SetInterval_Oord__class_OatLeastAtMost(_u10986, _u10988, _u10989)) = c_Orderings_Obot__class_Obot(tc_fun(_u10986, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5226, plain, ( ~class_Orderings_Olinorder(_u10990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10990), _u10991), _u10992)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10990), _u10992), _u10993)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10990, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10990, _u10991), _u10992)), c_SetInterval_Oord__class_OatLeastAtMost(_u10990, _u10992, _u10993)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10990, _u10991, _u10993)) )).
% 12.21/12.46 cnf(matrix-5227, plain, ( ~c_Nat__Transfer_Ois__nat(_u10994) | ~c_Nat__Transfer_Ois__nat(_u10995) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10994, _u10995) = 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, _u10994), hAPP(c_Int_Onat, _u10995)))) )).
% 12.21/12.46 cnf(matrix-5228, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10996), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5229, plain, ( ~class_Orderings_Olinorder(_u10997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10997), _u10998), _u10999)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10997, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10997, _u10998), _u10999)), hAPP(hAPP(c_Set_Oinsert(_u10997), _u10999), c_Orderings_Obot__class_Obot(tc_fun(_u10997, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u10997, _u10998, _u10999)) )).
% 12.21/12.46 cnf(matrix-5230, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11000), _u11001)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11001), _u11000)) )).
% 12.21/12.46 cnf(matrix-5231, plain, ( ~c_Nat__Transfer_Ois__nat(_u11002) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11002, _u11003)) )).
% 12.21/12.46 cnf(matrix-5232, plain, ( ~class_Orderings_Olinorder(_u11004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11004), _u11005), _u11006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11004), _u11006), _u11007)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11004, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11004, _u11005, _u11006)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11004, _u11006, _u11007)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11004, _u11005), _u11007)) )).
% 12.21/12.46 cnf(matrix-5233, plain, ( ~class_Orderings_Oorder(_u11008) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11008, _u11009, _u11010) != c_Orderings_Obot__class_Obot(tc_fun(_u11008, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11008), _u11009), _u11010)) )).
% 12.21/12.46 cnf(matrix-5234, plain, ( ~class_Orderings_Oorder(_u11008) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11008), _u11009), _u11010)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11008, _u11009, _u11010) = c_Orderings_Obot__class_Obot(tc_fun(_u11008, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5235, plain, ( ~class_Orderings_Oorder(_u11011) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11011, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u11011, _u11012, _u11013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11011), _u11012), _u11013)) )).
% 12.21/12.46 cnf(matrix-5236, plain, ( ~class_Orderings_Oorder(_u11011) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11011), _u11012), _u11013)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11011, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11011, _u11012, _u11013)) )).
% 12.21/12.46 cnf(matrix-5237, plain, ( ~class_Orderings_Oorder(_u11014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11014), _u11015), _u11016)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11014, _u11016, _u11015) = c_Orderings_Obot__class_Obot(tc_fun(_u11014, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5238, plain, ( ~class_Orderings_Oorder(_u11017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11018), _u11019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11020), _u11018)) )).
% 12.21/12.46 cnf(matrix-5239, plain, ( ~class_Orderings_Oorder(_u11017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11018), _u11019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11019), _u11021)) )).
% 12.21/12.46 cnf(matrix-5240, plain, ( ~class_Orderings_Oorder(_u11017) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11018), _u11019)) )).
% 12.21/12.46 cnf(matrix-5241, plain, ( ~class_Orderings_Oorder(_u11017) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11018, _u11019)), c_SetInterval_Oord__class_OatLeastAtMost(_u11017, _u11020, _u11021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11020), _u11018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11017), _u11019), _u11021)) )).
% 12.21/12.46 cnf(matrix-5242, plain, ( ~class_Orderings_Oorder(_u11022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11022), _u11023), _u11024)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11022, _u11024), _u11023) = c_Orderings_Obot__class_Obot(tc_fun(_u11022, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5243, plain, ( ~class_Orderings_Oorder(_u11025) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11025, _u11026), _u11027) != c_Orderings_Obot__class_Obot(tc_fun(_u11025, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11025), _u11026), _u11027)) )).
% 12.21/12.46 cnf(matrix-5244, plain, ( ~class_Orderings_Oorder(_u11025) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11025), _u11026), _u11027)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11025, _u11026), _u11027) = c_Orderings_Obot__class_Obot(tc_fun(_u11025, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5245, plain, ( ~class_Orderings_Oorder(_u11028) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11028, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11028, _u11029), _u11030)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11028), _u11029), _u11030)) )).
% 12.21/12.46 cnf(matrix-5246, plain, ( ~class_Orderings_Oorder(_u11028) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11028), _u11029), _u11030)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11028, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11028, _u11029), _u11030)) )).
% 12.21/12.46 cnf(matrix-5247, plain, ( ~class_Orderings_Oorder(_u11031) | ( _u11032 != _u11033) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11031, _u11032, _u11033) = hAPP(hAPP(c_Set_Oinsert(_u11031), _u11032), c_Orderings_Obot__class_Obot(tc_fun(_u11031, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5248, plain, ( ~class_Orderings_Oorder(_u11034) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11034, _u11035, _u11036) != hAPP(hAPP(c_Set_Oinsert(_u11034), _u11037), c_Orderings_Obot__class_Obot(tc_fun(_u11034, tc_HOL_Obool)))) | ( _u11035 = _u11036) )).
% 12.21/12.46 cnf(matrix-5249, plain, ( ~class_Orderings_Oorder(_u11034) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11034, _u11035, _u11036) != hAPP(hAPP(c_Set_Oinsert(_u11034), _u11037), c_Orderings_Obot__class_Obot(tc_fun(_u11034, tc_HOL_Obool)))) | ( _u11036 = _u11037) )).
% 12.21/12.46 cnf(matrix-5250, plain, ( ~class_Orderings_Oorder(_u11034) | ( _u11035 != _u11036) | ( _u11036 != _u11037) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11034, _u11035, _u11036) = hAPP(hAPP(c_Set_Oinsert(_u11034), _u11037), c_Orderings_Obot__class_Obot(tc_fun(_u11034, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5251, plain, ( ~class_Orderings_Oorder(_u11038) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11038, _u11039, _u11039) = hAPP(hAPP(c_Set_Oinsert(_u11038), _u11039), c_Orderings_Obot__class_Obot(tc_fun(_u11038, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5252, plain, ( ~class_Orderings_Olinorder(_u11040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11040, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11041), _u11042)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11043), _u11044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11042), _u11041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11043), _u11041)) )).
% 12.21/12.46 cnf(matrix-5253, plain, ( ~class_Orderings_Olinorder(_u11040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11040, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11041), _u11042)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11040, _u11043), _u11044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11042), _u11041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11040), _u11042), _u11044)) )).
% 12.21/12.46 cnf(matrix-5254, plain, ( ~class_Orderings_Olinorder(_u11045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11045), _u11046), _u11047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11045), _u11047), _u11048)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11045, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11045, _u11046), _u11047)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11045, _u11047), _u11048)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11045, _u11046), _u11048)) )).
% 12.21/12.46 cnf(matrix-5255, plain, ( ~class_Groups_Oordered__ab__group__add(_u11049) | ( hAPP(c_Set_Oimage(_u11049, _u11049, c_Groups_Ouminus__class_Ouminus(_u11049)), c_SetInterval_Oord__class_OatLeastAtMost(_u11049, _u11050, _u11051)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11049, hAPP(c_Groups_Ouminus__class_Ouminus(_u11049), _u11051), hAPP(c_Groups_Ouminus__class_Ouminus(_u11049), _u11050))) )).
% 12.21/12.46 cnf(matrix-5256, plain, ( ~class_Orderings_Olinorder(_u11052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11052), _u11053), _u11054)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11052, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11052, _u11053), _u11055)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11052, _u11053), _u11054)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11052, _u11054), _u11055)) )).
% 12.21/12.46 cnf(matrix-5257, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11056, 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(_u11056, tc_HOL_Obool)), tc_fun(_u11056, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u11056, tc_HOL_Obool)), tc_fun(_u11056, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11056, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u11057)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11056, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11057)) )).
% 12.21/12.46 cnf(matrix-5258, plain, ( ~class_Orderings_Oorder(_u11058) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11058, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11058, _u11059), _u11060)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11058, _u11060), _u11061)) = c_Orderings_Obot__class_Obot(tc_fun(_u11058, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5259, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11062)), _u11063) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u11062, _u11063)) )).
% 12.21/12.46 cnf(matrix-5260, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11064), _u11065) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11064, _u11065)) )).
% 12.21/12.46 cnf(matrix-5261, 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)), _u11066))) )).
% 12.21/12.46 cnf(matrix-5262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11067)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11067, _u11068)) )).
% 12.21/12.46 cnf(matrix-5263, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11069, _u11070)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11070)), _u11069)) )).
% 12.21/12.46 cnf(matrix-5264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11071), hAPP(c_Nat_OSuc, _u11072))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11071, hAPP(c_Nat_OSuc, _u11072)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11072)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11071, _u11072))) )).
% 12.21/12.46 cnf(matrix-5265, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11073), hAPP(c_Nat_OSuc, _u11073)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11073), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5266, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11074), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11075) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u11074, _u11075)) )).
% 12.21/12.46 cnf(matrix-5267, plain, ( ~class_Orderings_Olinorder(_u11076) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11076, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11076, _u11077, _u11078)), c_SetInterval_Oord__class_OatLeastAtMost(_u11076, _u11079, _u11080)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11076, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11076), _u11077), _u11079), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11076), _u11078), _u11080))) )).
% 12.21/12.46 cnf(matrix-5268, plain, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11082)) )).
% 12.21/12.46 cnf(matrix-5269, plain, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11083), _u11085)) )).
% 12.21/12.46 cnf(matrix-5270, plain, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11084), _u11082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11083), _u11085)) )).
% 12.21/12.46 cnf(matrix-5271, plain, ( ~class_Orderings_Oorder(_u11081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) )).
% 12.21/12.46 cnf(matrix-5272, plain, ( ~class_Orderings_Oorder(_u11081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11082), _u11083)) )).
% 12.21/12.46 cnf(matrix-5273, plain, ( ~class_Orderings_Oorder(_u11081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11083), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11084), _u11082)) )).
% 12.21/12.46 cnf(matrix-5274, plain, ( ~class_Orderings_Oorder(_u11081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11081, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11082, _u11083)), c_SetInterval_Oord__class_OatLeastAtMost(_u11081, _u11084, _u11085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11084), _u11082)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11081), _u11083), _u11085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11081), _u11083), _u11085)) )).
% 12.21/12.46 cnf(matrix-5275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11086), _u11087)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11086), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11087), _u11088)) = 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, _u11086), _u11087)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11087), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11087), _u11088)))) )).
% 12.21/12.46 cnf(matrix-5276, plain, ( ~class_Orderings_Olinorder(_u11089) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11089, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11089, _u11090), _u11091)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11089, _u11092), _u11093)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11089, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11089), _u11090), _u11092)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11089), _u11091), _u11093))) )).
% 12.21/12.46 cnf(matrix-5277, plain, ( ~class_Orderings_Olinorder(_u11094) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11094), _u11095), _u11096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11094), _u11096), _u11097)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11094, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11094, _u11095, _u11096)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11094, _u11096, _u11097)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11094, _u11095, _u11097)) )).
% 12.21/12.46 cnf(matrix-5278, plain, ( ~class_Orderings_Oorder(_u11098) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11098, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11098, _u11099, _u11100)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11098, _u11100, _u11101)) = c_Orderings_Obot__class_Obot(tc_fun(_u11098, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5279, plain, ( ~class_Orderings_Oorder(_u11102) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11102, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11102, _u11103, _u11104)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11102, _u11104, _u11105)) = c_Orderings_Obot__class_Obot(tc_fun(_u11102, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5280, plain, ( ~class_Orderings_Oorder(_u11106) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11106, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11106, _u11107, _u11108)), c_SetInterval_Oord__class_OatLeastAtMost(_u11106, _u11108, _u11109)) = c_Orderings_Obot__class_Obot(tc_fun(_u11106, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11110), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11111), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11110))))) | ( _u11110 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11111), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11110)))) )).
% 12.21/12.46 cnf(matrix-5282, plain, ( ~class_Orderings_Oorder(_u11112) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11112, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11112, _u11113, _u11114)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11112, _u11114), _u11115)) = c_Orderings_Obot__class_Obot(tc_fun(_u11112, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5283, plain, ( ~class_Groups_Oordered__ab__group__add(_u11116) | ( hAPP(c_Set_Oimage(_u11116, _u11116, c_Groups_Ouminus__class_Ouminus(_u11116)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11116, _u11117, _u11118)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11116, hAPP(c_Groups_Ouminus__class_Ouminus(_u11116), _u11118)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11116), _u11117))) )).
% 12.21/12.46 cnf(matrix-5284, plain, ( ~class_Groups_Oordered__ab__group__add(_u11119) | ( hAPP(c_Set_Oimage(_u11119, _u11119, c_Groups_Ouminus__class_Ouminus(_u11119)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11119, _u11120), _u11121)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11119, hAPP(c_Groups_Ouminus__class_Ouminus(_u11119), _u11121), hAPP(c_Groups_Ouminus__class_Ouminus(_u11119), _u11120))) )).
% 12.21/12.46 cnf(matrix-5285, 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)), _u11122)), 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), _u11123), _u11122))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11122), _u11123)) )).
% 12.21/12.46 cnf(matrix-5286, 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)), _u11124)) = hAPP(c_Int_Onat, _u11124)) )).
% 12.21/12.46 cnf(matrix-5287, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11125), _u11126)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11126), _u11125))) )).
% 12.21/12.46 cnf(matrix-5288, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11127), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11128) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11127, _u11128)) )).
% 12.21/12.46 cnf(matrix-5289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11131), _u11133)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11131), hAPP(c_Nat_OSuc, _u11133)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11133), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11131), _u11133))) )).
% 12.21/12.46 cnf(matrix-5290, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11132), _u11134)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11132), hAPP(c_Nat_OSuc, _u11134)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11137), _u11139)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11139, _u11137) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5292, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11138), _u11140)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11140, _u11138) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u11140), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11140), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11138))) )).
% 12.21/12.46 cnf(matrix-5293, plain, ( ~class_Orderings_Olinorder(_u11141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11141), _u11142), _u11143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11141), _u11143), _u11144)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11141, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11141, _u11142, _u11143)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11141, _u11143), _u11144)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11141, _u11142, _u11144)) )).
% 12.21/12.46 cnf(matrix-5294, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11145, _u11146)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11146), _u11145)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-5295, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11150), _u11152)) | ( 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)), _u11150)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11154), _u11152)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11154), _u11150)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11152), _u11150))) )).
% 12.21/12.46 cnf(matrix-5296, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11151), _u11153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11155), _u11153)) | ( 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)), _u11151)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11155), _u11153)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5297, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11151), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11155), _u11153)) | ( 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)), _u11151)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11155), _u11153)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5298, plain, ( ~class_Orderings_Olinorder(_u11156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11156), _u11157), _u11158)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11156, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11156), _u11157), c_Orderings_Obot__class_Obot(tc_fun(_u11156, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11156, _u11157, _u11158)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11156, _u11157, _u11158)) )).
% 12.21/12.46 cnf(matrix-5299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), _u11161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem200(_u11164, _u11163, _u11162, _u11161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11162))) )).
% 12.21/12.46 cnf(matrix-5300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), _u11161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem201(_u11164, _u11163, _u11162, _u11161)), _u11164)) )).
% 12.21/12.46 cnf(matrix-5301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11162)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11163), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), _u11161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) | ( _u11161 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem201(_u11164, _u11163, _u11162, _u11161)), skolem200(_u11164, _u11163, _u11162, _u11161))) )).
% 12.21/12.46 cnf(matrix-5302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11168)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11169), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11167), _u11168)), _u11169)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem202(_u11170, _u11169, _u11168, _u11167)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11168))) )).
% 12.21/12.46 cnf(matrix-5303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11168)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11169), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11167), _u11168)), _u11169)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u11170, _u11169, _u11168, _u11167)), _u11170)) )).
% 12.21/12.46 cnf(matrix-5304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11168)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11169), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11167), _u11168)), _u11169)) | ( _u11167 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem203(_u11170, _u11169, _u11168, _u11167)), skolem202(_u11170, _u11169, _u11168, _u11167))) )).
% 12.21/12.46 cnf(matrix-5305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11173)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11175)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), _u11173) = _u11174) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem204(_u11175, _u11174, _u11173)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11173))) )).
% 12.21/12.46 cnf(matrix-5306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11173)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11175)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), _u11173) = _u11174) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u11175, _u11174, _u11173)), _u11175)) )).
% 12.21/12.46 cnf(matrix-5307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11173)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11175)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11174), _u11173) = _u11174) | ( _u11174 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem205(_u11175, _u11174, _u11173)), skolem204(_u11175, _u11174, _u11173))) )).
% 12.21/12.46 cnf(matrix-5308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11176), _u11182)) | ~hBOOL(hAPP(_u11184, _u11176)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem206(_u11184, _u11182)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11182))) )).
% 12.21/12.46 cnf(matrix-5309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11176), _u11182)) | ~hBOOL(hAPP(_u11184, _u11176)) | hBOOL(hAPP(_u11184, skolem206(_u11184, _u11182))) )).
% 12.21/12.46 cnf(matrix-5310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11178), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11183))) | ~hBOOL(hAPP(_u11185, _u11178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem207(_u11185, _u11183)), _u11183)) )).
% 12.21/12.46 cnf(matrix-5311, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11178), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11183))) | ~hBOOL(hAPP(_u11185, _u11178)) | hBOOL(hAPP(_u11185, skolem207(_u11185, _u11183))) )).
% 12.21/12.46 cnf(matrix-5312, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11187), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11192))) | hBOOL(hAPP(_u11194, _u11187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem208(_u11194, _u11192)), _u11192)) )).
% 12.21/12.46 cnf(matrix-5313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11187), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11192))) | hBOOL(hAPP(_u11194, _u11187)) | ~hBOOL(hAPP(_u11194, skolem208(_u11194, _u11192))) )).
% 12.21/12.46 cnf(matrix-5314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11189), _u11193)) | hBOOL(hAPP(_u11195, _u11189)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem209(_u11195, _u11193)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11193))) )).
% 12.21/12.46 cnf(matrix-5315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11189), _u11193)) | hBOOL(hAPP(_u11195, _u11189)) | ~hBOOL(hAPP(_u11195, skolem209(_u11195, _u11193))) )).
% 12.21/12.46 cnf(matrix-5316, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11197), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11202))) | hBOOL(hAPP(_u11204, _u11197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u11204, _u11202)), _u11202)) )).
% 12.21/12.46 cnf(matrix-5317, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11197), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11202))) | hBOOL(hAPP(_u11204, _u11197)) | ~hBOOL(hAPP(_u11204, skolem210(_u11204, _u11202))) )).
% 12.21/12.46 cnf(matrix-5318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11199), _u11203)) | hBOOL(hAPP(_u11205, _u11199)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem211(_u11205, _u11203)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11203))) )).
% 12.21/12.46 cnf(matrix-5319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11199), _u11203)) | hBOOL(hAPP(_u11205, _u11199)) | ~hBOOL(hAPP(_u11205, skolem211(_u11205, _u11203))) )).
% 12.21/12.46 cnf(matrix-5320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11206), _u11212)) | ~hBOOL(hAPP(_u11214, _u11206)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem212(_u11214, _u11212)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11212))) )).
% 12.21/12.46 cnf(matrix-5321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11206), _u11212)) | ~hBOOL(hAPP(_u11214, _u11206)) | hBOOL(hAPP(_u11214, skolem212(_u11214, _u11212))) )).
% 12.21/12.46 cnf(matrix-5322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11208), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11213))) | ~hBOOL(hAPP(_u11215, _u11208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem213(_u11215, _u11213)), _u11213)) )).
% 12.21/12.46 cnf(matrix-5323, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11208), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11213))) | ~hBOOL(hAPP(_u11215, _u11208)) | hBOOL(hAPP(_u11215, skolem213(_u11215, _u11213))) )).
% 12.21/12.46 cnf(matrix-5324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11218)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11220)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), _u11218) = _u11219) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u11220, _u11219, _u11218)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11218))) )).
% 12.21/12.46 cnf(matrix-5325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11218)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11220)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), _u11218) = _u11219) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u11220, _u11219, _u11218)), _u11220)) )).
% 12.21/12.46 cnf(matrix-5326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11218)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11220)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11219), _u11218) = _u11219) | ( _u11219 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u11220, _u11219, _u11218)), skolem214(_u11220, _u11219, _u11218))) )).
% 12.21/12.46 cnf(matrix-5327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11224)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11223), _u11225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), _u11224)), _u11225)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u11226, _u11225, _u11224, _u11223)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11224))) )).
% 12.21/12.46 cnf(matrix-5328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11224)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11223), _u11225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), _u11224)), _u11225)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem217(_u11226, _u11225, _u11224, _u11223)), _u11226)) )).
% 12.21/12.46 cnf(matrix-5329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11224)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11223), _u11225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), _u11224)), _u11225)) | ( _u11223 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u11226, _u11225, _u11224, _u11223)), skolem216(_u11226, _u11225, _u11224, _u11223))) )).
% 12.21/12.46 cnf(matrix-5330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11230)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11231), _u11232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11229), _u11230))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem218(_u11232, _u11231, _u11230, _u11229)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11230))) )).
% 12.21/12.46 cnf(matrix-5331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11230)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11231), _u11232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11229), _u11230))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u11232, _u11231, _u11230, _u11229)), _u11232)) )).
% 12.21/12.46 cnf(matrix-5332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11230)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11231), _u11232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11229), _u11230))) | ( _u11229 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem219(_u11232, _u11231, _u11230, _u11229)), skolem218(_u11232, _u11231, _u11230, _u11229))) )).
% 12.21/12.46 cnf(matrix-5333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11236)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11237), _u11238)) | ( _u11235 = _u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11235), _u11236) != _u11237) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem220(_u11238, _u11237, _u11236, _u11235)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11236))) )).
% 12.21/12.46 cnf(matrix-5334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11236)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11237), _u11238)) | ( _u11235 = _u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11235), _u11236) != _u11237) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u11238, _u11237, _u11236, _u11235)), _u11238)) )).
% 12.21/12.46 cnf(matrix-5335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11236)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11237), _u11238)) | ( _u11235 = _u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11235), _u11236) != _u11237) | ( _u11235 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem221(_u11238, _u11237, _u11236, _u11235)), skolem220(_u11238, _u11237, _u11236, _u11235))) )).
% 12.21/12.46 cnf(matrix-5336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11242)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11243), _u11244)) | ( _u11241 = _u11243) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11241), _u11242) != _u11243) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u11244, _u11243, _u11242, _u11241)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11242))) )).
% 12.21/12.46 cnf(matrix-5337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11242)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11243), _u11244)) | ( _u11241 = _u11243) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11241), _u11242) != _u11243) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u11244, _u11243, _u11242, _u11241)), _u11244)) )).
% 12.21/12.46 cnf(matrix-5338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11242)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11243), _u11244)) | ( _u11241 = _u11243) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11241), _u11242) != _u11243) | ( _u11241 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem223(_u11244, _u11243, _u11242, _u11241)), skolem222(_u11244, _u11243, _u11242, _u11241))) )).
% 12.21/12.46 cnf(matrix-5339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), _u11247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11247), _u11248))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u11250, _u11249, _u11248, _u11247)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11248))) )).
% 12.21/12.46 cnf(matrix-5340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), _u11247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11247), _u11248))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem225(_u11250, _u11249, _u11248, _u11247)), _u11249)) )).
% 12.21/12.46 cnf(matrix-5341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11248)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), _u11247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11250), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11247), _u11248))) | ( _u11247 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem225(_u11250, _u11249, _u11248, _u11247)), skolem224(_u11250, _u11249, _u11248, _u11247))) )).
% 12.21/12.46 cnf(matrix-5342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11253), _u11256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11253), _u11254)), _u11256)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem226(_u11256, _u11255, _u11254, _u11253)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11254))) )).
% 12.21/12.46 cnf(matrix-5343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11253), _u11256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11253), _u11254)), _u11256)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem227(_u11256, _u11255, _u11254, _u11253)), _u11255)) )).
% 12.21/12.46 cnf(matrix-5344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11253), _u11256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11253), _u11254)), _u11256)) | ( _u11253 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem227(_u11256, _u11255, _u11254, _u11253)), skolem226(_u11256, _u11255, _u11254, _u11253))) )).
% 12.21/12.46 cnf(matrix-5345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem228(_u11261, _u11260, _u11259, _u11258))), _u11259)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, 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), skolem228(_u11261, _u11260, _u11259, _u11258)), _u11260))), _u11261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11259)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11258, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11261))) )).
% 12.21/12.46 cnf(matrix-5346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.46 cnf(matrix-5347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.46 cnf(matrix-5348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.46 cnf(matrix-5349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.46 cnf(matrix-5350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.46 cnf(matrix-5351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11269, _u11268)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.46 cnf(matrix-5352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.46 cnf(matrix-5353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(_u11269, _u11264)) | hBOOL(hAPP(_u11269, skolem233(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.46 cnf(matrix-5354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.46 cnf(matrix-5355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | hBOOL(hAPP(_u11269, skolem229(_u11269, _u11268))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.46 cnf(matrix-5356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | ~hBOOL(hAPP(_u11269, skolem231(_u11269, _u11268))) )).
% 12.21/12.46 cnf(matrix-5357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11266), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11268))) | ~hBOOL(hAPP(_u11269, _u11266)) | hBOOL(hAPP(_u11269, skolem234(_u11269, _u11268))) | ~hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11269, _u11268)), _u11268)))) | hBOOL(hAPP(_u11269, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11269, _u11268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11269, _u11268)), _u11268)))) )).
% 12.21/12.46 cnf(matrix-5358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), _u11276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11276), _u11277))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem235(_u11279, _u11278, _u11277, _u11276)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11277))) )).
% 12.21/12.46 cnf(matrix-5359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), _u11276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11276), _u11277))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u11279, _u11278, _u11277, _u11276)), _u11278)) )).
% 12.21/12.46 cnf(matrix-5360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), _u11276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11279), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11276), _u11277))) | ( _u11276 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem236(_u11279, _u11278, _u11277, _u11276)), skolem235(_u11279, _u11278, _u11277, _u11276))) )).
% 12.21/12.46 cnf(matrix-5361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11282), _u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11282), _u11283)), _u11285)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem237(_u11285, _u11284, _u11283, _u11282)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11283))) )).
% 12.21/12.46 cnf(matrix-5362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11282), _u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11282), _u11283)), _u11285)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u11285, _u11284, _u11283, _u11282)), _u11284)) )).
% 12.21/12.46 cnf(matrix-5363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11282), _u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11282), _u11283)), _u11285)) | ( _u11282 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem238(_u11285, _u11284, _u11283, _u11282)), skolem237(_u11285, _u11284, _u11283, _u11282))) )).
% 12.21/12.46 cnf(matrix-5364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11286)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11286) = 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, _u11286)))) )).
% 12.21/12.46 cnf(matrix-5365, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11287))) )).
% 12.21/12.46 cnf(matrix-5366, plain, ( ~class_Orderings_Olinorder(_u11288) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11289) != hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11290)) | ( _u11289 = _u11290) )).
% 12.21/12.46 cnf(matrix-5367, plain, ( ~class_Orderings_Olinorder(_u11288) | ( _u11289 != _u11290) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11289) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11288), _u11290)) )).
% 12.21/12.46 cnf(matrix-5368, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11291)) = _u11291) )).
% 12.21/12.46 cnf(matrix-5369, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5370, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11292) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11292)) )).
% 12.21/12.46 cnf(matrix-5371, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5372, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11293)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11293), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11293))) )).
% 12.21/12.46 cnf(matrix-5373, plain, ( ~class_Orderings_Oord(_u11294) | ~hBOOL(hAPP(hAPP(c_member(_u11294), _u11295), hAPP(c_SetInterval_Oord__class_OlessThan(_u11294), _u11296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11294), _u11295), _u11296)) )).
% 12.21/12.46 cnf(matrix-5374, plain, ( ~class_Orderings_Oord(_u11294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11294), _u11295), _u11296)) | hBOOL(hAPP(hAPP(c_member(_u11294), _u11295), hAPP(c_SetInterval_Oord__class_OlessThan(_u11294), _u11296))) )).
% 12.21/12.46 cnf(matrix-5375, plain, ( ~class_Orderings_Olinorder(_u11297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11298)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11297), _u11298), _u11299)) )).
% 12.21/12.46 cnf(matrix-5376, plain, ( ~class_Orderings_Olinorder(_u11297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11297), _u11298), _u11299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11298)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11297), _u11299))) )).
% 12.21/12.46 cnf(matrix-5377, plain, ( ~class_Orderings_Olinorder(_u11300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11300, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11301)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11300), _u11301), _u11302)) )).
% 12.21/12.46 cnf(matrix-5378, plain, ( ~class_Orderings_Olinorder(_u11300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11300), _u11301), _u11302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11300, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11301)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11300), _u11302))) )).
% 12.21/12.46 cnf(matrix-5379, plain, ( ~class_Orderings_Oorder(_u11303) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11303, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11303), _u11304), c_Orderings_Obot__class_Obot(tc_fun(_u11303, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u11303), _u11304)) = hAPP(hAPP(c_Set_Oinsert(_u11303), _u11304), c_Orderings_Obot__class_Obot(tc_fun(_u11303, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5380, plain, ( ~class_Orderings_Olinorder(_u11305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11305), _u11306), _u11307)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11305, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11305), _u11306)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11305, _u11306), _u11307)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11305), _u11307)) )).
% 12.21/12.46 cnf(matrix-5381, plain, ( ~class_Orderings_Oorder(_u11308) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11308, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11308), _u11309)), c_SetInterval_Oord__class_OatLeastAtMost(_u11308, _u11309, _u11310)) = c_Orderings_Obot__class_Obot(tc_fun(_u11308, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5382, plain, ( ~class_Orderings_Oorder(_u11311) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11311, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11311), _u11312)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11311, _u11312), _u11313)) = c_Orderings_Obot__class_Obot(tc_fun(_u11311, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5383, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11314)) = 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), _u11314)))) )).
% 12.21/12.46 cnf(matrix-5384, 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), _u11315)), 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))), _u11316))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11317))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11317)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11315), 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), _u11317), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11316))))) )).
% 12.21/12.46 cnf(matrix-5385, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem239(_u11322, _u11321, _u11320, _u11319))), _u11320) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, 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), skolem239(_u11322, _u11321, _u11320, _u11319)), _u11321))), _u11322)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11320) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11319, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11322)) )).
% 12.21/12.46 cnf(matrix-5386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11324, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11324, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem240(_u11326, _u11325, _u11324))), _u11325)), _u11326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11324, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11324, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11325)), _u11326)) )).
% 12.21/12.46 cnf(matrix-5387, plain, ( ~class_Rings_Oring__1(_u11327) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11327), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11328, tc_Int_Oint), _u11329), _u11330)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11328, _u11327), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11327, _u11328), c_Int_Oring__1__class_Oof__int(_u11327)), _u11329)), _u11330)) )).
% 12.21/12.46 cnf(matrix-5388, plain, ( ~class_Groups_Ocomm__monoid__add(_u11331) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11332, _u11331), hAPP(c_COMBK(_u11331, _u11332), c_Groups_Ozero__class_Ozero(_u11331))), _u11333) = c_Groups_Ozero__class_Ozero(_u11331)) )).
% 12.21/12.46 cnf(matrix-5389, plain, ( ~class_Groups_Oab__group__add(_u11334) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11335, _u11334), hAPP(hAPP(c_COMBB(_u11334, _u11334, _u11335), c_Groups_Ouminus__class_Ouminus(_u11334)), _u11336)), _u11337) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11334), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11335, _u11334), _u11336), _u11337))) )).
% 12.21/12.46 cnf(matrix-5390, plain, ( ~class_Fields_Ofield(_u11338) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11338), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11339, _u11338), _u11340), _u11341)), _u11342) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11339, _u11338), hAPP(hAPP(c_COMBC(_u11339, _u11338, _u11338), hAPP(hAPP(c_COMBB(_u11338, tc_fun(_u11338, _u11338), _u11339), c_Rings_Oinverse__class_Odivide(_u11338)), _u11340)), _u11342)), _u11341)) )).
% 12.21/12.46 cnf(matrix-5391, plain, ( ~class_Groups_Ocomm__monoid__add(_u11343) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11344, _u11343), hAPP(hAPP(c_COMBS(_u11344, _u11343, _u11343), hAPP(hAPP(c_COMBB(_u11343, tc_fun(_u11343, _u11343), _u11344), c_Groups_Oplus__class_Oplus(_u11343)), _u11345)), _u11346)), _u11347) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11343), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11344, _u11343), _u11345), _u11347)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11344, _u11343), _u11346), _u11347))) )).
% 12.21/12.46 cnf(matrix-5392, plain, ( ~class_Rings_Osemiring__0(_u11348) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11348), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11349, _u11348), _u11350), _u11351)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11352, _u11348), _u11353), _u11354)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11349, _u11348), hAPP(hAPP(c_COMBC(_u11349, tc_fun(_u11352, tc_HOL_Obool), _u11348), hAPP(hAPP(c_COMBB(tc_fun(_u11352, _u11348), tc_fun(tc_fun(_u11352, tc_HOL_Obool), _u11348), _u11349), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11352, _u11348)), hAPP(hAPP(c_COMBC(_u11349, tc_fun(_u11352, _u11348), tc_fun(_u11352, _u11348)), hAPP(hAPP(c_COMBB(tc_fun(_u11348, _u11348), tc_fun(tc_fun(_u11352, _u11348), tc_fun(_u11352, _u11348)), _u11349), c_COMBB(_u11348, _u11348, _u11352)), hAPP(hAPP(c_COMBB(_u11348, tc_fun(_u11348, _u11348), _u11349), c_Groups_Otimes__class_Otimes(_u11348)), _u11350))), _u11353))), _u11354)), _u11351)) )).
% 12.21/12.46 cnf(matrix-5393, plain, ( ~class_Rings_Osemiring__0(_u11355) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11355), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11356, _u11355), _u11357), _u11358)), _u11359) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11356, _u11355), hAPP(hAPP(c_COMBC(_u11356, _u11355, _u11355), hAPP(hAPP(c_COMBB(_u11355, tc_fun(_u11355, _u11355), _u11356), c_Groups_Otimes__class_Otimes(_u11355)), _u11357)), _u11359)), _u11358)) )).
% 12.21/12.46 cnf(matrix-5394, plain, ( ~class_Rings_Osemiring__0(_u11360) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11360), _u11361), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11362, _u11360), _u11363), _u11364)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11362, _u11360), hAPP(hAPP(c_COMBB(_u11360, _u11360, _u11362), hAPP(c_Groups_Otimes__class_Otimes(_u11360), _u11361)), _u11363)), _u11364)) )).
% 12.21/12.46 cnf(matrix-5395, plain, ( ~class_Groups_Ocomm__monoid__add(_u11365) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11366, _u11365), hAPP(hAPP(c_COMBC(_u11366, tc_fun(_u11367, tc_HOL_Obool), _u11365), hAPP(hAPP(c_COMBB(tc_fun(_u11367, _u11365), tc_fun(tc_fun(_u11367, tc_HOL_Obool), _u11365), _u11366), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11367, _u11365)), _u11368)), _u11369)), _u11370) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11367, _u11365), hAPP(hAPP(c_COMBC(_u11367, tc_fun(_u11366, tc_HOL_Obool), _u11365), hAPP(hAPP(c_COMBB(tc_fun(_u11366, _u11365), tc_fun(tc_fun(_u11366, tc_HOL_Obool), _u11365), _u11367), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11366, _u11365)), hAPP(c_COMBC(_u11366, _u11367, _u11365), _u11368))), _u11370)), _u11369)) )).
% 12.21/12.46 cnf(matrix-5396, plain, ( ~class_Groups_Oab__group__add(_u11371) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11372, _u11371), hAPP(hAPP(c_COMBS(_u11372, _u11371, _u11371), hAPP(hAPP(c_COMBB(_u11371, tc_fun(_u11371, _u11371), _u11372), c_Groups_Ominus__class_Ominus(_u11371)), _u11373)), _u11374)), _u11375) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11372, _u11371), _u11373), _u11375)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11372, _u11371), _u11374), _u11375))) )).
% 12.21/12.46 cnf(matrix-5397, plain, ( ~class_Rings_Osemiring__1(_u11376) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11376), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11377, tc_Nat_Onat), _u11378), _u11379)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11377, _u11376), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11376, _u11377), c_Nat_Osemiring__1__class_Oof__nat(_u11376)), _u11378)), _u11379)) )).
% 12.21/12.46 cnf(matrix-5398, plain, ( ~class_Groups_Ocomm__monoid__add(_u11380) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11381, _u11380), _u11382), c_Orderings_Obot__class_Obot(tc_fun(_u11381, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11380)) )).
% 12.21/12.46 cnf(matrix-5399, plain, ( ~class_Groups_Ocomm__monoid__add(_u11383) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11384, _u11383), _u11385), c_Orderings_Obot__class_Obot(tc_fun(_u11384, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11383)) )).
% 12.21/12.46 cnf(matrix-5400, plain, ( ~class_Groups_Ocomm__monoid__add(_u11386) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11387), _u11388)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11387, _u11386), _u11389), _u11388) = c_Groups_Ozero__class_Ozero(_u11386)) )).
% 12.21/12.46 cnf(matrix-5401, plain, ( ~class_Groups_Ocomm__monoid__add(_u11390) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11391), _u11392)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11391, _u11390), _u11393), _u11392) = c_Groups_Ozero__class_Ozero(_u11390)) )).
% 12.21/12.46 cnf(matrix-5402, plain, ( ~class_Groups_Ocomm__monoid__add(_u11394) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11395), _u11396)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11395, _u11394), hAPP(hAPP(c_COMBS(_u11395, _u11394, _u11394), hAPP(hAPP(c_COMBB(_u11394, tc_fun(_u11394, _u11394), _u11395), c_Groups_Oplus__class_Oplus(_u11394)), _u11397)), _u11398)), _u11396) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11394), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11395, _u11394), _u11397), _u11396)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11395, _u11394), _u11398), _u11396))) )).
% 12.21/12.46 cnf(matrix-5403, plain, ( ~class_Groups_Ocomm__monoid__add(_u11399) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11399), _u11400), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11401)), hAPP(c_Nat_OSuc, _u11402))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11399), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11399, tc_Nat_Onat), _u11400), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11401), _u11402))) )).
% 12.21/12.46 cnf(matrix-5404, plain, ( ~class_Groups_Ocomm__monoid__add(_u11403) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11403), _u11404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11405), _u11406)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11407), _u11406))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11403), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11403, tc_Nat_Onat), _u11404), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11406))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11405), _u11407))) )).
% 12.21/12.46 cnf(matrix-5405, plain, ( ~class_Groups_Ocomm__monoid__add(_u11408) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11408), _u11409), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11410), hAPP(c_Nat_OSuc, _u11411))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11408), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11408, tc_Nat_Onat), _u11409), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11410, _u11411))) )).
% 12.21/12.46 cnf(matrix-5406, plain, ( ~class_Groups_Ocomm__monoid__add(_u11412) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11412), _u11413), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11414), _u11415), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11416), _u11415))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11412), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11412, tc_Nat_Onat), _u11413), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11415))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11414, _u11416))) )).
% 12.21/12.46 cnf(matrix-5407, plain, ( ~class_Groups_Ocomm__monoid__add(_u11417) | ~c_Fun_Oinj__on(_u11418, _u11419, _u11420, _u11421) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11419, _u11417), _u11422), hAPP(c_Set_Oimage(_u11418, _u11419, _u11420), _u11421)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11418, _u11417), hAPP(c_Fun_Ocomp(_u11419, _u11417, _u11418, _u11422), _u11420)), _u11421)) )).
% 12.21/12.46 cnf(matrix-5408, plain, ( ~class_Groups_Ocomm__monoid__add(_u11423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11424), _u11425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11425), _u11426)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11423), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11423), _u11427), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11424), _u11425))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11423), _u11427), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11425), _u11426))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11423), _u11427), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11424), _u11426))) )).
% 12.21/12.46 cnf(matrix-5409, plain, ( ~class_Groups_Oab__group__add(_u11428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11429), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11430), _u11431)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11428), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11428), _u11432), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11429), _u11431))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11428), _u11432), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11429), _u11430))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11428), _u11432), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11430), _u11431))) )).
% 12.21/12.46 cnf(matrix-5410, plain, ( ~class_Groups_Ocomm__monoid__add(_u11433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11434), _u11435)) | ~hBOOL(hAPP(hAPP(c_member(_u11434), _u11436), _u11435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11434, _u11433), hAPP(hAPP(c_COMBC(_u11434, _u11433, _u11433), hAPP(hAPP(c_COMBS(_u11434, _u11433, tc_fun(_u11433, _u11433)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11433, tc_fun(_u11433, _u11433)), _u11434), c_If(_u11433)), hAPP(hAPP(c_COMBC(_u11434, _u11434, tc_HOL_Obool), c_fequal), _u11436))), _u11437)), c_Groups_Ozero__class_Ozero(_u11433))), _u11435) = hAPP(_u11437, _u11436)) )).
% 12.21/12.46 cnf(matrix-5411, plain, ( ~class_Groups_Ocomm__monoid__add(_u11433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11434), _u11435)) | hBOOL(hAPP(hAPP(c_member(_u11434), _u11436), _u11435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11434, _u11433), hAPP(hAPP(c_COMBC(_u11434, _u11433, _u11433), hAPP(hAPP(c_COMBS(_u11434, _u11433, tc_fun(_u11433, _u11433)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11433, tc_fun(_u11433, _u11433)), _u11434), c_If(_u11433)), hAPP(hAPP(c_COMBC(_u11434, _u11434, tc_HOL_Obool), c_fequal), _u11436))), _u11437)), c_Groups_Ozero__class_Ozero(_u11433))), _u11435) = c_Groups_Ozero__class_Ozero(_u11433)) )).
% 12.21/12.46 cnf(matrix-5412, plain, ( ~class_Groups_Ocomm__monoid__add(_u11438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11439), _u11440)) | ~hBOOL(hAPP(hAPP(c_member(_u11439), _u11441), _u11440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11439, _u11438), hAPP(hAPP(c_COMBC(_u11439, _u11438, _u11438), hAPP(hAPP(c_COMBS(_u11439, _u11438, tc_fun(_u11438, _u11438)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11438, tc_fun(_u11438, _u11438)), _u11439), c_If(_u11438)), hAPP(c_fequal, _u11441))), _u11442)), c_Groups_Ozero__class_Ozero(_u11438))), _u11440) = hAPP(_u11442, _u11441)) )).
% 12.21/12.46 cnf(matrix-5413, plain, ( ~class_Groups_Ocomm__monoid__add(_u11438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11439), _u11440)) | hBOOL(hAPP(hAPP(c_member(_u11439), _u11441), _u11440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11439, _u11438), hAPP(hAPP(c_COMBC(_u11439, _u11438, _u11438), hAPP(hAPP(c_COMBS(_u11439, _u11438, tc_fun(_u11438, _u11438)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11438, tc_fun(_u11438, _u11438)), _u11439), c_If(_u11438)), hAPP(c_fequal, _u11441))), _u11442)), c_Groups_Ozero__class_Ozero(_u11438))), _u11440) = c_Groups_Ozero__class_Ozero(_u11438)) )).
% 12.21/12.46 cnf(matrix-5414, plain, ( ~class_Groups_Ocomm__monoid__add(_u11443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11444), _u11445)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11446), _u11447)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, _u11443), hAPP(hAPP(c_COMBS(_u11444, tc_fun(_u11446, tc_HOL_Obool), _u11443), hAPP(hAPP(c_COMBB(tc_fun(_u11446, _u11443), tc_fun(tc_fun(_u11446, tc_HOL_Obool), _u11443), _u11444), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11446, _u11443)), _u11448)), hAPP(hAPP(c_COMBB(tc_fun(_u11446, tc_HOL_Obool), tc_fun(_u11446, tc_HOL_Obool), _u11444), c_Set_OCollect(_u11446)), hAPP(hAPP(c_COMBB(tc_fun(_u11446, tc_HOL_Obool), tc_fun(_u11446, tc_HOL_Obool), _u11444), hAPP(c_COMBS(_u11446, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11446), c_fconj), hAPP(hAPP(c_COMBC(_u11446, tc_fun(_u11446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11446)), _u11447)))), _u11449)))), _u11445) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11446, _u11443), hAPP(hAPP(c_COMBS(_u11446, tc_fun(_u11444, tc_HOL_Obool), _u11443), hAPP(hAPP(c_COMBB(tc_fun(_u11444, _u11443), tc_fun(tc_fun(_u11444, tc_HOL_Obool), _u11443), _u11446), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, _u11443)), hAPP(c_COMBC(_u11444, _u11446, _u11443), _u11448))), hAPP(hAPP(c_COMBB(tc_fun(_u11444, tc_HOL_Obool), tc_fun(_u11444, tc_HOL_Obool), _u11446), c_Set_OCollect(_u11444)), hAPP(hAPP(c_COMBB(tc_fun(_u11444, tc_HOL_Obool), tc_fun(_u11444, tc_HOL_Obool), _u11446), hAPP(c_COMBS(_u11444, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11444), c_fconj), hAPP(hAPP(c_COMBC(_u11444, tc_fun(_u11444, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11444)), _u11445)))), hAPP(c_COMBC(_u11444, _u11446, tc_HOL_Obool), _u11449))))), _u11447)) )).
% 12.21/12.46 cnf(matrix-5415, plain, ( ~class_Rings_Osemiring__1(_u11450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11451, _u11450), hAPP(c_COMBK(_u11450, _u11451), _u11452)), _u11453) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11450), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11450), hAPP(c_Finite__Set_Ocard(_u11451), _u11453))), _u11452)) )).
% 12.21/12.46 cnf(matrix-5416, plain, ( ~class_Groups_Ocomm__monoid__add(_u11454) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11454), _u11455), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11456))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11454), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11454), _u11455), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11456))), hAPP(_u11455, _u11456))) )).
% 12.21/12.46 cnf(matrix-5417, plain, ( ~class_Groups_Ocomm__monoid__add(_u11457) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11458), _u11459)) | hBOOL(hAPP(hAPP(c_member(_u11458), _u11460), _u11459)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11458, _u11457), _u11461), hAPP(hAPP(c_Set_Oinsert(_u11458), _u11460), _u11459)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11457), hAPP(_u11461, _u11460)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11458, _u11457), _u11461), _u11459))) )).
% 12.21/12.46 cnf(matrix-5418, plain, ( ~class_Groups_Ocomm__monoid__add(_u11462) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11463), _u11464)) | hBOOL(hAPP(hAPP(c_member(_u11463), _u11465), _u11464)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, _u11462), _u11466), hAPP(hAPP(c_Set_Oinsert(_u11463), _u11465), _u11464)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11462), hAPP(_u11466, _u11465)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, _u11462), _u11466), _u11464))) )).
% 12.21/12.46 cnf(matrix-5419, plain, ( ~class_Groups_Ocomm__monoid__add(_u11467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11468), _u11469)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11468), _u11470)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11467), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11468, tc_HOL_Obool)), _u11469), _u11470))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11468, tc_HOL_Obool)), _u11469), _u11470))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11467), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), _u11469)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11468, _u11467), _u11471), _u11470))) )).
% 12.21/12.46 cnf(matrix-5420, plain, ( ~class_Groups_Oab__group__add(_u11472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11473), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11473, tc_HOL_Obool)), _u11475), _u11474)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), _u11476), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11473, tc_HOL_Obool)), _u11474), _u11475)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11472), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), _u11476), _u11474)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11473, _u11472), _u11476), _u11475))) )).
% 12.21/12.46 cnf(matrix-5421, plain, ( ~class_Groups_Ocomm__monoid__add(_u11477) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11478), _u11479)) | ~c_Fun_Oinj__on(_u11478, _u11478, _u11480, _u11479) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11478, _u11477), _u11481), hAPP(c_Set_Oimage(_u11478, _u11478, _u11480), _u11479)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11478, _u11477), hAPP(c_Fun_Ocomp(_u11478, _u11477, _u11478, _u11481), _u11480)), _u11479)) )).
% 12.21/12.46 cnf(matrix-5422, plain, ( ~class_Groups_Ocomm__monoid__add(_u11482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11483), _u11484)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11483, _u11482), _u11485), _u11484) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11482, _u11483, c_Groups_Oplus__class_Oplus(_u11482)), _u11485), c_Groups_Ozero__class_Ozero(_u11482)), _u11484)) )).
% 12.21/12.46 cnf(matrix-5423, plain, ( ~class_Groups_Ocomm__monoid__add(_u11486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11487), _u11488)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11487, _u11486), _u11489), _u11488) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11486, _u11487, c_Groups_Oplus__class_Oplus(_u11486)), _u11489), c_Groups_Ozero__class_Ozero(_u11486)), _u11488)) )).
% 12.21/12.46 cnf(matrix-5424, plain, ( ~class_Groups_Ocomm__monoid__add(_u11486) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11487), _u11488)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11487, _u11486), _u11489), _u11488) = c_Groups_Ozero__class_Ozero(_u11486)) )).
% 12.21/12.46 cnf(matrix-5425, plain, ( ~class_Groups_Ocomm__monoid__add(_u11490) | ( hAPP(_u11491, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u11490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11490), _u11491), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u11492)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11490), _u11491), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11492))) )).
% 12.21/12.46 cnf(matrix-5426, plain, ( ~class_Groups_Ocomm__monoid__add(_u11493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11494), _u11495)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11493), _u11496), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11494), _u11495)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11493), hAPP(_u11496, _u11494)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11493), _u11496), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11494)), _u11495)))) )).
% 12.21/12.46 cnf(matrix-5427, plain, ( ~class_Groups_Ocomm__monoid__add(_u11497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11498), _u11499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11497), _u11500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11498, _u11499)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11497), hAPP(_u11500, _u11498)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11497), _u11500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11498), _u11499)))) )).
% 12.21/12.46 cnf(matrix-5428, plain, ( ~class_Groups_Ocomm__monoid__add(_u11501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11502), _u11503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11502, _u11501), _u11504), hAPP(c_Set_OCollect(_u11502), hAPP(hAPP(c_COMBS(_u11502, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11502), c_fconj), hAPP(hAPP(c_COMBC(_u11502, tc_fun(_u11502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11502)), _u11503))), hAPP(hAPP(c_COMBC(_u11502, tc_fun(_u11502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11502)), _u11505)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11502, _u11501), hAPP(hAPP(c_COMBC(_u11502, _u11501, _u11501), hAPP(hAPP(c_COMBS(_u11502, _u11501, tc_fun(_u11501, _u11501)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11501, tc_fun(_u11501, _u11501)), _u11502), c_If(_u11501)), hAPP(hAPP(c_COMBC(_u11502, tc_fun(_u11502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11502)), _u11505))), _u11504)), c_Groups_Ozero__class_Ozero(_u11501))), _u11503)) )).
% 12.21/12.46 cnf(matrix-5429, plain, ( ~class_Groups_Ocomm__monoid__add(_u11506) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11507), _u11508)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11507, _u11506), _u11509), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11507, tc_HOL_Obool)), _u11508), _u11510)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11507, _u11506), hAPP(hAPP(c_COMBC(_u11507, _u11506, _u11506), hAPP(hAPP(c_COMBS(_u11507, _u11506, tc_fun(_u11506, _u11506)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11506, tc_fun(_u11506, _u11506)), _u11507), c_If(_u11506)), hAPP(hAPP(c_COMBC(_u11507, tc_fun(_u11507, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11507)), _u11510))), _u11509)), c_Groups_Ozero__class_Ozero(_u11506))), _u11508)) )).
% 12.21/12.46 cnf(matrix-5430, plain, ( ~class_Groups_Ocomm__monoid__add(_u11511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11512), _u11513)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11512, _u11511), _u11514), _u11513) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11515, _u11511), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), _u11511, _u11515), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11512, _u11511), _u11514)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_fun(_u11512, tc_HOL_Obool), _u11515), c_Set_OCollect(_u11512)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_fun(_u11512, tc_HOL_Obool), _u11515), hAPP(c_COMBS(_u11512, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11512), c_fconj), hAPP(hAPP(c_COMBC(_u11512, tc_fun(_u11512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11512)), _u11513)))), hAPP(c_COMBC(_u11512, _u11515, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11515, tc_fun(_u11515, tc_HOL_Obool), _u11512), c_fequal), _u11516)))))), hAPP(c_Set_Oimage(_u11512, _u11515, _u11516), _u11513))) )).
% 12.21/12.46 cnf(matrix-5431, plain, ( ~class_Groups_Ocomm__monoid__add(_u11517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11518), _u11519)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11518, _u11517), _u11520), hAPP(hAPP(c_Set_Oinsert(_u11518), _u11521), _u11519)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11517), hAPP(_u11520, _u11521)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11518, _u11517), _u11520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11518, tc_HOL_Obool)), _u11519), hAPP(hAPP(c_Set_Oinsert(_u11518), _u11521), c_Orderings_Obot__class_Obot(tc_fun(_u11518, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5432, plain, ( ~class_Groups_Ocomm__monoid__add(_u11522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11523), _u11524)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11523), _u11525)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11523, tc_HOL_Obool)), _u11524), _u11525) != c_Orderings_Obot__class_Obot(tc_fun(_u11523, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11523, _u11522), _u11526), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11523, tc_HOL_Obool)), _u11524), _u11525)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11522), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11523, _u11522), _u11526), _u11524)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11523, _u11522), _u11526), _u11525))) )).
% 12.21/12.46 cnf(matrix-5433, plain, ( ~class_Groups_Oab__group__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11530)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11528, tc_HOL_Obool)), _u11529), _u11530)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11527), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11527), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), _u11529)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), _u11530))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), _u11531), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11528, tc_HOL_Obool)), _u11529), _u11530)))) )).
% 12.21/12.46 cnf(matrix-5434, plain, ( ~class_Groups_Ocomm__monoid__add(_u11532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11533), _u11534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11532), _u11535), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11534), hAPP(c_Nat_OSuc, _u11533))) = c_Groups_Ozero__class_Ozero(_u11532)) )).
% 12.21/12.46 cnf(matrix-5435, plain, ( ~class_Groups_Ocomm__monoid__add(_u11532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11533), _u11534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11532), _u11535), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11534), hAPP(c_Nat_OSuc, _u11533))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11532), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11532), _u11535), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11534), _u11533))), hAPP(_u11535, _u11533))) )).
% 12.21/12.46 cnf(matrix-5436, plain, ( ~class_Groups_Ocomm__monoid__add(_u11536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11537)), _u11538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11536), _u11539), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11538, hAPP(c_Nat_OSuc, _u11537))) = c_Groups_Ozero__class_Ozero(_u11536)) )).
% 12.21/12.46 cnf(matrix-5437, plain, ( ~class_Groups_Ocomm__monoid__add(_u11536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11537)), _u11538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11536), _u11539), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11538, hAPP(c_Nat_OSuc, _u11537))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11536), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11536), _u11539), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11538, _u11537))), hAPP(_u11539, hAPP(c_Nat_OSuc, _u11537)))) )).
% 12.21/12.46 cnf(matrix-5438, plain, ( ~class_Groups_Ocomm__monoid__add(_u11540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11541), _u11542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11540), _u11543), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11541, _u11542)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11540), hAPP(_u11543, _u11541)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11540), _u11543), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11541, _u11542)))) )).
% 12.21/12.46 cnf(matrix-5439, plain, ( ~class_Groups_Ocomm__monoid__add(_u11544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11545), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11544), _u11547), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11545, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), _u11548))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11544), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11544), _u11547), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11545, _u11546))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11544), _u11547), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11546), _u11548))))) )).
% 12.21/12.46 cnf(matrix-5440, plain, ( ~class_Groups_Ocomm__monoid__add(_u11549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11550), _u11551)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11550, _u11549), hAPP(hAPP(c_COMBS(_u11550, _u11549, _u11549), hAPP(hAPP(c_COMBS(_u11550, _u11549, tc_fun(_u11549, _u11549)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11549, tc_fun(_u11549, _u11549)), _u11550), c_If(_u11549)), _u11552)), _u11553)), _u11554)), _u11551) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11549), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11550, _u11549), _u11553), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11550, tc_HOL_Obool)), _u11551), hAPP(c_Set_OCollect(_u11550), _u11552)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11550, _u11549), _u11554), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11550, tc_HOL_Obool)), _u11551), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11550, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u11550), _u11552)))))) )).
% 12.21/12.46 cnf(matrix-5441, plain, ( ~class_Groups_Ocomm__monoid__add(_u11555) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11556), _u11557)) | ~hBOOL(hAPP(hAPP(c_member(_u11556), _u11558), _u11557)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11556, _u11555), _u11559), _u11557) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11555), hAPP(_u11559, _u11558)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11556, _u11555), _u11559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11556, tc_HOL_Obool)), _u11557), hAPP(hAPP(c_Set_Oinsert(_u11556), _u11558), c_Orderings_Obot__class_Obot(tc_fun(_u11556, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5442, plain, ( ~class_Groups_Ocomm__monoid__add(_u11560) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11561), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(_u11561), _u11563), _u11562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11561, _u11560), _u11564), _u11562) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11560), hAPP(_u11564, _u11563)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11561, _u11560), _u11564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11561, tc_HOL_Obool)), _u11562), hAPP(hAPP(c_Set_Oinsert(_u11561), _u11563), c_Orderings_Obot__class_Obot(tc_fun(_u11561, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-5443, plain, ( ~class_Groups_Oab__group__add(_u11565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11566), _u11567)) | ~hBOOL(hAPP(hAPP(c_member(_u11566), _u11568), _u11567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11566, tc_HOL_Obool)), _u11567), hAPP(hAPP(c_Set_Oinsert(_u11566), _u11568), c_Orderings_Obot__class_Obot(tc_fun(_u11566, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11565), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), _u11567)), hAPP(_u11569, _u11568))) )).
% 12.21/12.46 cnf(matrix-5444, plain, ( ~class_Groups_Oab__group__add(_u11565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11566), _u11567)) | hBOOL(hAPP(hAPP(c_member(_u11566), _u11568), _u11567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11566, tc_HOL_Obool)), _u11567), hAPP(hAPP(c_Set_Oinsert(_u11566), _u11568), c_Orderings_Obot__class_Obot(tc_fun(_u11566, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11566, _u11565), _u11569), _u11567)) )).
% 12.21/12.46 cnf(matrix-5445, plain, ( ~class_Rings_Oring(_u11570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11571), _u11572)) | ~hBOOL(hAPP(hAPP(c_member(_u11571), _u11573), _u11572)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11571, _u11570), _u11574), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11571, tc_HOL_Obool)), _u11572), hAPP(hAPP(c_Set_Oinsert(_u11571), _u11573), c_Orderings_Obot__class_Obot(tc_fun(_u11571, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11570), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11571, _u11570), _u11574), _u11572)), hAPP(_u11574, _u11573))) )).
% 12.21/12.46 cnf(matrix-5446, plain, ( ~class_Fields_Ofield(_u11575) | ( _u11576 = c_Groups_Oone__class_Oone(_u11575)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11575), hAPP(c_Power_Opower__class_Opower(_u11575), _u11576)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11577)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11575), hAPP(hAPP(c_Power_Opower__class_Opower(_u11575), _u11576), _u11577)), c_Groups_Oone__class_Oone(_u11575))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11575), _u11576), c_Groups_Oone__class_Oone(_u11575)))) )).
% 12.21/12.46 cnf(matrix-5447, plain, ( ~class_Rings_Ocomm__semiring__1(_u11578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11578), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11578), c_Groups_Oone__class_Oone(_u11578)), c_Groups_Oone__class_Oone(_u11578))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11578), c_Nat_Osemiring__1__class_Oof__nat(_u11578)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11579))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11578), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11578), _u11579)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11578), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11578), _u11579)), c_Groups_Oone__class_Oone(_u11578)))) )).
% 12.21/12.46 cnf(matrix-5448, plain, ( ~class_Groups_Oab__group__add(_u11580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11581), _u11582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11580), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11580, _u11580), hAPP(hAPP(c_COMBB(_u11580, tc_fun(_u11580, _u11580), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11580)), _u11583)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11580, tc_Nat_Onat), _u11583), 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, _u11581, _u11582)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11580), hAPP(_u11583, _u11581)), hAPP(_u11583, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11582), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.21/12.46 cnf(matrix-5449, plain, ( ~class_Groups_Oab__group__add(_u11580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11581), _u11582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11580), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11580, _u11580), hAPP(hAPP(c_COMBB(_u11580, tc_fun(_u11580, _u11580), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11580)), _u11583)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11580, tc_Nat_Onat), _u11583), 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, _u11581, _u11582)) = c_Groups_Ozero__class_Ozero(_u11580)) )).
% 12.21/12.46 cnf(matrix-5450, plain, ( ~class_Rings_Ocomm__semiring__1(_u11584) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11584), c_Groups_Oone__class_Oone(_u11584)), c_Groups_Oone__class_Oone(_u11584))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11584), hAPP(hAPP(c_COMBB(_u11584, _u11584, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u11584), _u11585)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u11584, _u11584), hAPP(hAPP(c_COMBB(_u11584, tc_fun(_u11584, _u11584), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u11584)), c_Nat_Osemiring__1__class_Oof__nat(_u11584))), _u11586))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11587))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11584), _u11587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11584), _u11585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11584), _u11585), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11584), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11587), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11586))))) )).
% 12.21/12.46 cnf(matrix-5451, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u11589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11592), _u11591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11589), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11592)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11591))) | hBOOL(hAPP(hAPP(c_member(_u11590), skolem241(_u11593, _u11592, _u11591, _u11590, _u11589)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11590, tc_HOL_Obool)), _u11591), _u11592))) )).
% 12.21/12.46 cnf(matrix-5452, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u11589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), _u11592), _u11591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11589), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11592)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11590, _u11589), _u11593), _u11591))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11589), c_Groups_Ozero__class_Ozero(_u11589)), hAPP(_u11593, skolem241(_u11593, _u11592, _u11591, _u11590, _u11589)))) )).
% 12.21/12.46 cnf(matrix-5453, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u11595) | ~class_Rings_Osemiring__1(_u11595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11595), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11595), hAPP(c_Finite__Set_Ocard(_u11596), _u11597))), _u11599))) | hBOOL(hAPP(hAPP(c_member(_u11596), skolem242(_u11599, _u11598, _u11597, _u11596, _u11595)), _u11597)) )).
% 12.21/12.46 cnf(matrix-5454, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u11595) | ~class_Rings_Osemiring__1(_u11595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11595), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11596, _u11595), _u11598), _u11597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11595), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11595), hAPP(c_Finite__Set_Ocard(_u11596), _u11597))), _u11599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11595), hAPP(_u11598, skolem242(_u11599, _u11598, _u11597, _u11596, _u11595))), _u11599)) )).
% 12.21/12.46 cnf(matrix-5455, plain, ( ~class_Groups_Ocomm__monoid__add(_u11601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11602, tc_HOL_Obool)), _u11603), _u11604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11601), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11603)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11604))) | hBOOL(hAPP(hAPP(c_member(_u11602), skolem243(_u11605, _u11604, _u11603, _u11602, _u11601)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11602, tc_HOL_Obool)), _u11603), _u11604))) )).
% 12.21/12.46 cnf(matrix-5456, plain, ( ~class_Groups_Ocomm__monoid__add(_u11601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11603)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11602), _u11604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11602, tc_HOL_Obool)), _u11603), _u11604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11601), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11603)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11602, _u11601), _u11605), _u11604))) | ( hAPP(_u11605, skolem243(_u11605, _u11604, _u11603, _u11602, _u11601)) != c_Groups_Ozero__class_Ozero(_u11601)) )).
% 12.21/12.46 cnf(matrix-5457, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11608), _u11609)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11608, tc_Nat_Onat), _u11610), _u11609) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11608), _u11606), _u11609)) | ( hAPP(_u11610, _u11606) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5458, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11608), _u11609)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11608, tc_Nat_Onat), _u11610), _u11609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11608), skolem244(_u11610, _u11609, _u11608)), _u11609)) )).
% 12.21/12.46 cnf(matrix-5459, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11608), _u11609)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11608, tc_Nat_Onat), _u11610), _u11609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u11610, skolem244(_u11610, _u11609, _u11608)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5460, plain, ( ( hAPP(c_Finite__Set_Ocard(_u11611), _u11612) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11611, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u11611), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11612)) )).
% 12.21/12.46 cnf(matrix-5461, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11613, tc_Nat_Onat), _u11614), _u11615)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11613, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11613), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11614)), _u11615)) )).
% 12.21/12.46 cnf(matrix-5462, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11620), skolem245(_u11622, _u11621, _u11620)), _u11621)) )).
% 12.21/12.46 cnf(matrix-5463, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11622, skolem245(_u11622, _u11621, _u11620)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.46 cnf(matrix-5464, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11616), _u11621)) | ( skolem245(_u11622, _u11621, _u11620) = _u11616) | ( hAPP(_u11622, _u11616) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5465, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11619), _u11621)) | ( hAPP(_u11622, _u11619) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11620), skolem246(_u11622, _u11621, _u11620, _u11619)), _u11621)) )).
% 12.21/12.46 cnf(matrix-5466, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11619), _u11621)) | ( hAPP(_u11622, _u11619) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u11619 != skolem246(_u11622, _u11621, _u11620, _u11619)) )).
% 12.21/12.46 cnf(matrix-5467, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11620), _u11621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11620, tc_Nat_Onat), _u11622), _u11621) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11620), _u11619), _u11621)) | ( hAPP(_u11622, _u11619) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11622, skolem246(_u11622, _u11621, _u11620, _u11619)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5468, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11627), skolem247(_u11629, _u11628, _u11627)), _u11628)) )).
% 12.21/12.46 cnf(matrix-5469, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11629, skolem247(_u11629, _u11628, _u11627)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5470, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11623), _u11628)) | ( skolem247(_u11629, _u11628, _u11627) = _u11623) | ( hAPP(_u11629, _u11623) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5471, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11626), _u11628)) | ( hAPP(_u11629, _u11626) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11627), skolem248(_u11629, _u11628, _u11627, _u11626)), _u11628)) )).
% 12.21/12.46 cnf(matrix-5472, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11626), _u11628)) | ( hAPP(_u11629, _u11626) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u11626 != skolem248(_u11629, _u11628, _u11627, _u11626)) )).
% 12.21/12.46 cnf(matrix-5473, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11627), _u11628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11627, tc_Nat_Onat), _u11629), _u11628) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11627), _u11626), _u11628)) | ( hAPP(_u11629, _u11626) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11629, skolem248(_u11629, _u11628, _u11627, _u11626)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5474, plain, ( ( hAPP(_u11630, 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), _u11630), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11631)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11630), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11631))) )).
% 12.21/12.46 cnf(matrix-5475, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11632, tc_Nat_Onat), _u11633), _u11634) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11632, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11632), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11633)), _u11634))) )).
% 12.21/12.46 cnf(matrix-5476, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11635), _u11636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11635, tc_HOL_Obool)), _u11636), _u11637)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11635, tc_Nat_Onat), _u11638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11635, tc_HOL_Obool)), _u11637), _u11636)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11635, tc_Nat_Onat), _u11638), _u11637)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11635, tc_Nat_Onat), _u11638), _u11636))) )).
% 12.21/12.46 cnf(matrix-5477, plain, ( ~class_Groups_Ocomm__monoid__add(_u11639) | ~class_Groups_Ocomm__monoid__mult(_u11639) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11639), _u11640), _u11641) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11639), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11639, tc_Int_Oint), _u11640), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11641))) )).
% 12.21/12.46 cnf(matrix-5478, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11646), _u11648), _u11650)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11646, tc_Nat_Onat), _u11652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11646, tc_HOL_Obool)), _u11650), hAPP(hAPP(c_Set_Oinsert(_u11646), _u11648), c_Orderings_Obot__class_Obot(tc_fun(_u11646, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11646, tc_Nat_Onat), _u11652), _u11650)), hAPP(_u11652, _u11648))) )).
% 12.21/12.46 cnf(matrix-5479, plain, ( hBOOL(hAPP(hAPP(c_member(_u11647), _u11649), _u11651)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11647, tc_Nat_Onat), _u11653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11647, tc_HOL_Obool)), _u11651), hAPP(hAPP(c_Set_Oinsert(_u11647), _u11649), c_Orderings_Obot__class_Obot(tc_fun(_u11647, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11647, tc_Nat_Onat), _u11653), _u11651)) )).
% 12.21/12.46 cnf(matrix-5480, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11654, tc_Nat_Onat), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)) = 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(_u11654, tc_Nat_Onat), _u11657), _u11655)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11654, tc_Nat_Onat), _u11657), _u11656))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11654, tc_Nat_Onat), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)))) )).
% 12.21/12.46 cnf(matrix-5481, plain, ( ~class_Groups_Ocomm__monoid__add(_u11658) | ~class_Groups_Ocomm__monoid__mult(_u11658) | ~c_Nat__Transfer_Onat__set(_u11659) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11658), _u11660), _u11659) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11658), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11658, tc_Nat_Onat), _u11660), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11659))) )).
% 12.21/12.46 cnf(matrix-5482, 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), _u11661)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u11662))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11663))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11661), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11663), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11662))))) )).
% 12.21/12.46 cnf(matrix-5483, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Int_Oint), _u11667), _u11666) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11665), c_Int_Onat), _u11667)), _u11666))) | hBOOL(hAPP(hAPP(c_member(_u11665), skolem249(_u11667, _u11666, _u11665)), _u11666)) )).
% 12.21/12.46 cnf(matrix-5484, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Int_Oint), _u11667), _u11666) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11665, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11665), c_Int_Onat), _u11667)), _u11666))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11667, skolem249(_u11667, _u11666, _u11665))) )).
% 12.21/12.46 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11669), _u11670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11671), _u11672)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11669, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_Nat_Onat, _u11669), c_Finite__Set_Ocard(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), c_Set_OCollect(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), hAPP(c_COMBS(_u11671, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11671), c_fconj), hAPP(hAPP(c_COMBC(_u11671, tc_fun(_u11671, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11671)), _u11672)))), _u11673)))), _u11670) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11674), hAPP(c_Finite__Set_Ocard(_u11671), _u11672))) | hBOOL(hAPP(hAPP(c_member(_u11671), skolem250(_u11674, _u11673, _u11672, _u11671, _u11670, _u11669)), _u11672)) )).
% 12.21/12.46 cnf(matrix-5486, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11669), _u11670)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11671), _u11672)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11669, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_Nat_Onat, _u11669), c_Finite__Set_Ocard(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), c_Set_OCollect(_u11671)), hAPP(hAPP(c_COMBB(tc_fun(_u11671, tc_HOL_Obool), tc_fun(_u11671, tc_HOL_Obool), _u11669), hAPP(c_COMBS(_u11671, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11671), c_fconj), hAPP(hAPP(c_COMBC(_u11671, tc_fun(_u11671, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11671)), _u11672)))), _u11673)))), _u11670) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11674), hAPP(c_Finite__Set_Ocard(_u11671), _u11672))) | ( hAPP(c_Finite__Set_Ocard(_u11669), hAPP(c_Set_OCollect(_u11669), hAPP(hAPP(c_COMBS(_u11669, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11669), c_fconj), hAPP(hAPP(c_COMBC(_u11669, tc_fun(_u11669, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11669)), _u11670))), hAPP(hAPP(c_COMBC(_u11669, _u11671, tc_HOL_Obool), _u11673), skolem250(_u11674, _u11673, _u11672, _u11671, _u11670, _u11669))))) != _u11674) )).
% 12.21/12.46 cnf(matrix-5487, plain, ( ~class_Groups_Ocomm__monoid__add(_u11676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11678)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11677, tc_HOL_Obool)), _u11678), _u11679)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11678)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11679))) | hBOOL(hAPP(hAPP(c_member(_u11677), skolem251(_u11680, _u11679, _u11678, _u11677, _u11676)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11677, tc_HOL_Obool)), _u11678), _u11679))) )).
% 12.21/12.46 cnf(matrix-5488, plain, ( ~class_Groups_Ocomm__monoid__add(_u11676) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11678)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11677), _u11679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11677, tc_HOL_Obool)), _u11678), _u11679)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11678)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11677, _u11676), _u11680), _u11679))) | ( hAPP(_u11680, skolem251(_u11680, _u11679, _u11678, _u11677, _u11676)) != c_Groups_Ozero__class_Ozero(_u11676)) )).
% 12.21/12.46 cnf(matrix-5489, plain, ( ~class_Groups_Ocomm__monoid__add(_u11682) | ~class_Groups_Oordered__ab__semigroup__add(_u11682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11683), _u11684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11683, tc_HOL_Obool)), _u11685), _u11684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11682), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11685)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11684))) | hBOOL(hAPP(hAPP(c_member(_u11683), skolem252(_u11686, _u11685, _u11684, _u11683, _u11682)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11683, tc_HOL_Obool)), _u11684), _u11685))) )).
% 12.21/12.46 cnf(matrix-5490, plain, ( ~class_Groups_Ocomm__monoid__add(_u11682) | ~class_Groups_Oordered__ab__semigroup__add(_u11682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11683), _u11684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11683, tc_HOL_Obool)), _u11685), _u11684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11682), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11685)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11683, _u11682), _u11686), _u11684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11682), c_Groups_Ozero__class_Ozero(_u11682)), hAPP(_u11686, skolem252(_u11686, _u11685, _u11684, _u11683, _u11682)))) )).
% 12.21/12.46 cnf(matrix-5491, plain, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | hBOOL(hAPP(hAPP(c_member(_u11690), skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)), _u11691)) )).
% 12.21/12.46 cnf(matrix-5492, plain, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | hBOOL(hAPP(hAPP(c_member(_u11690), skolem254(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)), _u11691)) )).
% 12.21/12.46 cnf(matrix-5493, plain, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | ( skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689) != skolem254(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)) )).
% 12.21/12.46 cnf(matrix-5494, plain, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | ( hAPP(_u11692, skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689)) = hAPP(_u11692, skolem254(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689))) )).
% 12.21/12.46 cnf(matrix-5495, plain, ( ~class_Groups_Ocomm__monoid__add(_u11689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11690), _u11691)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11694, _u11689), _u11693), hAPP(c_Set_Oimage(_u11690, _u11694, _u11692), _u11691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11690, _u11689), hAPP(c_Fun_Ocomp(_u11694, _u11689, _u11690, _u11693), _u11692)), _u11691)) | ( hAPP(_u11693, hAPP(_u11692, skolem253(_u11694, _u11693, _u11692, _u11691, _u11690, _u11689))) != c_Groups_Ozero__class_Ozero(_u11689)) )).
% 12.21/12.46 cnf(matrix-5496, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11695, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11696)), _u11697) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11695, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11695, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11696)), _u11697)), hAPP(_u11697, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-5497, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11698))) )).
% 12.21/12.46 cnf(matrix-5498, plain, ( ~class_Orderings_Olinorder(_u11699) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11700) != hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11701)) | ( _u11700 = _u11701) )).
% 12.21/12.46 cnf(matrix-5499, plain, ( ~class_Orderings_Olinorder(_u11699) | ( _u11700 != _u11701) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11700) = hAPP(c_SetInterval_Oord__class_OatMost(_u11699), _u11701)) )).
% 12.21/12.46 cnf(matrix-5500, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11702) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11702)) )).
% 12.21/12.46 cnf(matrix-5501, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11703)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11703)) )).
% 12.21/12.46 cnf(matrix-5502, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11704)) = hAPP(c_Nat_OSuc, _u11704)) )).
% 12.21/12.46 cnf(matrix-5503, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11705)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11705)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11705))) )).
% 12.21/12.46 cnf(matrix-5504, plain, ( ~class_Orderings_Oord(_u11706) | ~hBOOL(hAPP(hAPP(c_member(_u11706), _u11707), hAPP(c_SetInterval_Oord__class_OatMost(_u11706), _u11708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11706), _u11707), _u11708)) )).
% 12.21/12.46 cnf(matrix-5505, plain, ( ~class_Orderings_Oord(_u11706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11706), _u11707), _u11708)) | hBOOL(hAPP(hAPP(c_member(_u11706), _u11707), hAPP(c_SetInterval_Oord__class_OatMost(_u11706), _u11708))) )).
% 12.21/12.46 cnf(matrix-5506, plain, ( ~class_Orderings_Oorder(_u11709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11709, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11710)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11709), _u11710), _u11711)) )).
% 12.21/12.46 cnf(matrix-5507, plain, ( ~class_Orderings_Oorder(_u11709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11709), _u11710), _u11711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11709, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11710)), hAPP(c_SetInterval_Oord__class_OatMost(_u11709), _u11711))) )).
% 12.21/12.46 cnf(matrix-5508, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5509, plain, ( ~class_Groups_Ocomm__monoid__add(_u11712) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11712), _u11713), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11714))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11712), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11712), _u11713), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11714))), hAPP(_u11713, hAPP(c_Nat_OSuc, _u11714)))) )).
% 12.21/12.46 cnf(matrix-5510, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5511, plain, ( ~class_Orderings_Olinorder(_u11715) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11715, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11715), _u11716)), c_SetInterval_Oord__class_OatLeastAtMost(_u11715, _u11717, _u11718)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11715, _u11717, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11715), _u11716), _u11718))) )).
% 12.21/12.46 cnf(matrix-5512, plain, ( ~class_Orderings_Olinorder(_u11719) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11719, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11719, _u11720, _u11721)), hAPP(c_SetInterval_Oord__class_OatMost(_u11719), _u11722)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11719, _u11720, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11719), _u11721), _u11722))) )).
% 12.21/12.46 cnf(matrix-5513, plain, ( ~class_Orderings_Olinorder(_u11723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11723), _u11724), _u11725)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11723, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11723), _u11724)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11723, _u11724, _u11725)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11723), _u11725)) )).
% 12.21/12.46 cnf(matrix-5514, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11726, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11727)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11726, tc_HOL_Obool), tc_Nat_Onat), _u11728), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11729))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11726, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11729, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11727), _u11729))), _u11728)) )).
% 12.21/12.46 cnf(matrix-5515, plain, ( ~class_Orderings_Oorder(_u11730) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11730), _u11731)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11730, _u11731, _u11732)) = c_Orderings_Obot__class_Obot(tc_fun(_u11730, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5516, plain, ( ~class_Orderings_Oorder(_u11733) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11733, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11733), _u11734)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11733, _u11734, _u11735)) = c_Orderings_Obot__class_Obot(tc_fun(_u11733, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5517, plain, ( ~class_Orderings_Olinorder(_u11736) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11736, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11736), _u11737)), hAPP(hAPP(c_Set_Oinsert(_u11736), _u11737), c_Orderings_Obot__class_Obot(tc_fun(_u11736, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u11736), _u11737)) )).
% 12.21/12.46 cnf(matrix-5518, plain, ( ~class_Orderings_Olinorder(_u11738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11738), _u11739), _u11740)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11738, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11738), _u11739)), c_SetInterval_Oord__class_OatLeastAtMost(_u11738, _u11739, _u11740)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11738), _u11740)) )).
% 12.21/12.46 cnf(matrix-5519, plain, ( ~class_Orderings_Olinorder(_u11741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11741), _u11742), _u11743)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11741, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11741), _u11742)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11741, _u11742, _u11743)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11741), _u11743)) )).
% 12.21/12.46 cnf(matrix-5520, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11744) = 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), _u11744)))) )).
% 12.21/12.46 cnf(matrix-5521, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11746), _u11747)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11748), _u11749)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11746, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_Nat_Onat, _u11746), c_Finite__Set_Ocard(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), c_Set_OCollect(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), hAPP(c_COMBS(_u11748, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11748), c_fconj), hAPP(hAPP(c_COMBC(_u11748, tc_fun(_u11748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11748)), _u11749)))), _u11750)))), _u11747) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11748, tc_Nat_Onat), _u11751), _u11749)) | hBOOL(hAPP(hAPP(c_member(_u11748), skolem255(_u11751, _u11750, _u11749, _u11748, _u11747, _u11746)), _u11749)) )).
% 12.21/12.46 cnf(matrix-5522, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11746), _u11747)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11748), _u11749)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11746, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_Nat_Onat, _u11746), c_Finite__Set_Ocard(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), c_Set_OCollect(_u11748)), hAPP(hAPP(c_COMBB(tc_fun(_u11748, tc_HOL_Obool), tc_fun(_u11748, tc_HOL_Obool), _u11746), hAPP(c_COMBS(_u11748, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11748), c_fconj), hAPP(hAPP(c_COMBC(_u11748, tc_fun(_u11748, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11748)), _u11749)))), _u11750)))), _u11747) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11748, tc_Nat_Onat), _u11751), _u11749)) | ( hAPP(c_Finite__Set_Ocard(_u11746), hAPP(c_Set_OCollect(_u11746), hAPP(hAPP(c_COMBS(_u11746, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11746), c_fconj), hAPP(hAPP(c_COMBC(_u11746, tc_fun(_u11746, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11746)), _u11747))), hAPP(hAPP(c_COMBC(_u11746, _u11748, tc_HOL_Obool), _u11750), skolem255(_u11751, _u11750, _u11749, _u11748, _u11747, _u11746))))) != hAPP(_u11751, skolem255(_u11751, _u11750, _u11749, _u11748, _u11747, _u11746))) )).
% 12.21/12.46 cnf(matrix-5523, plain, ( ~class_Groups_Oordered__ab__group__add(_u11753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11754), _u11755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11754, _u11753), _u11756), _u11755) != c_Groups_Ozero__class_Ozero(_u11753)) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11757), _u11755)) | ( hAPP(_u11756, _u11757) = c_Groups_Ozero__class_Ozero(_u11753)) | hBOOL(hAPP(hAPP(c_member(_u11754), skolem256(_u11757, _u11756, _u11755, _u11754, _u11753)), _u11755)) )).
% 12.21/12.46 cnf(matrix-5524, plain, ( ~class_Groups_Oordered__ab__group__add(_u11753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11754), _u11755)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11754, _u11753), _u11756), _u11755) != c_Groups_Ozero__class_Ozero(_u11753)) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11757), _u11755)) | ( hAPP(_u11756, _u11757) = c_Groups_Ozero__class_Ozero(_u11753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11753), c_Groups_Ozero__class_Ozero(_u11753)), hAPP(_u11756, skolem256(_u11757, _u11756, _u11755, _u11754, _u11753)))) )).
% 12.21/12.46 cnf(matrix-5525, plain, ( ~class_Groups_Oordered__ab__group__add(_u11759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11760, _u11759), _u11762), _u11761) != _u11763) | ~hBOOL(hAPP(hAPP(c_member(_u11760), _u11764), _u11761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11759), hAPP(_u11762, _u11764)), _u11763)) | hBOOL(hAPP(hAPP(c_member(_u11760), skolem257(_u11764, _u11763, _u11762, _u11761, _u11760, _u11759)), _u11761)) )).
% 12.21/12.46 cnf(matrix-5526, plain, ( ~class_Groups_Oordered__ab__group__add(_u11759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11761)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11760, _u11759), _u11762), _u11761) != _u11763) | ~hBOOL(hAPP(hAPP(c_member(_u11760), _u11764), _u11761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11759), hAPP(_u11762, _u11764)), _u11763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11759), c_Groups_Ozero__class_Ozero(_u11759)), hAPP(_u11762, skolem257(_u11764, _u11763, _u11762, _u11761, _u11760, _u11759)))) )).
% 12.21/12.46 cnf(matrix-5527, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11766, skolem258(_u11768, _u11767, _u11766))), hAPP(_u11767, skolem258(_u11768, _u11767, _u11766)))) | ( 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), _u11767), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11768))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11766), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11768))) = 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)), _u11767)), _u11766)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11768))) )).
% 12.21/12.46 cnf(matrix-5529, plain, ( ~class_Groups_Ocomm__monoid__add(_u11770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11771), _u11772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11771, tc_HOL_Obool)), _u11773), _u11772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11772) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11773)) | hBOOL(hAPP(hAPP(c_member(_u11771), skolem259(_u11774, _u11773, _u11772, _u11771, _u11770)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11771, tc_HOL_Obool)), _u11772), _u11773))) )).
% 12.21/12.46 cnf(matrix-5530, plain, ( ~class_Groups_Ocomm__monoid__add(_u11770) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11771), _u11772)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11771, tc_HOL_Obool)), _u11773), _u11772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11772) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11771, _u11770), _u11774), _u11773)) | ( hAPP(_u11774, skolem259(_u11774, _u11773, _u11772, _u11771, _u11770)) != c_Groups_Ozero__class_Ozero(_u11770)) )).
% 12.21/12.46 cnf(matrix-5531, plain, ( ~class_Orderings_Olinorder(_u11775) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11776) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11777)) | ( _u11776 = _u11777) )).
% 12.21/12.46 cnf(matrix-5532, plain, ( ~class_Orderings_Olinorder(_u11775) | ( _u11776 != _u11777) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11776) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11775), _u11777)) )).
% 12.21/12.46 cnf(matrix-5533, plain, ( ~class_Orderings_Oord(_u11778) | ~hBOOL(hAPP(hAPP(c_member(_u11778), _u11779), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11778), _u11780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11778), _u11780), _u11779)) )).
% 12.21/12.46 cnf(matrix-5534, plain, ( ~class_Orderings_Oord(_u11778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11778), _u11780), _u11779)) | hBOOL(hAPP(hAPP(c_member(_u11778), _u11779), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11778), _u11780))) )).
% 12.21/12.46 cnf(matrix-5535, plain, ( ~class_Orderings_Olinorder(_u11781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11781, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11782)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11783))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11781), _u11783), _u11782)) )).
% 12.21/12.46 cnf(matrix-5536, plain, ( ~class_Orderings_Olinorder(_u11781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11781), _u11783), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11781, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11782)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11781), _u11783))) )).
% 12.21/12.46 cnf(matrix-5537, plain, ( ~class_Orderings_Olinorder(_u11784) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11784, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11784), _u11785)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11784), _u11785)) )).
% 12.21/12.46 cnf(matrix-5538, plain, ( ~class_Orderings_Olinorder(_u11786) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11786, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11786), _u11787)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11786), _u11787)) )).
% 12.21/12.46 cnf(matrix-5539, plain, ( ~class_Orderings_Oorder(_u11788) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11788, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11788, _u11789, _u11790)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11788), _u11790)) = c_Orderings_Obot__class_Obot(tc_fun(_u11788, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5540, plain, ( ~class_Orderings_Olinorder(_u11791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11791), _u11792), _u11793)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11791, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11791, _u11792, _u11793)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11791), _u11793)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11791), _u11792)) )).
% 12.21/12.46 cnf(matrix-5541, plain, ( ~class_Groups_Oordered__ab__group__add(_u11794) | ( hAPP(c_Set_Oimage(_u11794, _u11794, c_Groups_Ouminus__class_Ouminus(_u11794)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11794), _u11795)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11794), hAPP(c_Groups_Ouminus__class_Ouminus(_u11794), _u11795))) )).
% 12.21/12.46 cnf(matrix-5542, plain, ( ~class_Groups_Oordered__ab__group__add(_u11796) | ( hAPP(c_Set_Oimage(_u11796, _u11796, c_Groups_Ouminus__class_Ouminus(_u11796)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11796), _u11797)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11796), hAPP(c_Groups_Ouminus__class_Ouminus(_u11796), _u11797))) )).
% 12.21/12.46 cnf(matrix-5543, plain, ( ~class_Orderings_Oorder(_u11798) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11798, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11798, _u11799, _u11800)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11798), _u11800)) = c_Orderings_Obot__class_Obot(tc_fun(_u11798, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5544, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11801)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11801)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11801)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-5545, plain, ( ~class_Orderings_Olinorder(_u11802) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11802), _u11803), _u11804)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11802, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11802, _u11803, _u11804)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11802), _u11804)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11802), _u11803)) )).
% 12.21/12.46 cnf(matrix-5546, plain, ( ~class_Groups_Ocomm__monoid__add(_u11806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11807), _u11808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11807, tc_HOL_Obool)), _u11809), _u11808)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11809) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11808)) | hBOOL(hAPP(hAPP(c_member(_u11807), skolem260(_u11810, _u11809, _u11808, _u11807, _u11806)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11807, tc_HOL_Obool)), _u11808), _u11809))) )).
% 12.21/12.46 cnf(matrix-5547, plain, ( ~class_Groups_Ocomm__monoid__add(_u11806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11807), _u11808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11807, tc_HOL_Obool)), _u11809), _u11808)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11809) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11807, _u11806), _u11810), _u11808)) | ( hAPP(_u11810, skolem260(_u11810, _u11809, _u11808, _u11807, _u11806)) != c_Groups_Ozero__class_Ozero(_u11806)) )).
% 12.21/12.46 cnf(matrix-5548, plain, ( ~class_Orderings_Olinorder(_u11811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11811), _u11812), _u11813)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11811, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11811, _u11812, _u11813)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11811), _u11813)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11811), _u11812)) )).
% 12.21/12.46 cnf(matrix-5549, plain, ( ~class_Orderings_Olinorder(_u11814) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11815) != hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11816)) | ( _u11815 = _u11816) )).
% 12.21/12.46 cnf(matrix-5550, plain, ( ~class_Orderings_Olinorder(_u11814) | ( _u11815 != _u11816) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11815) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11814), _u11816)) )).
% 12.21/12.46 cnf(matrix-5551, plain, ( ~class_Orderings_Oord(_u11817) | ~hBOOL(hAPP(hAPP(c_member(_u11817), _u11818), hAPP(c_SetInterval_Oord__class_OatLeast(_u11817), _u11819))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11817), _u11819), _u11818)) )).
% 12.21/12.46 cnf(matrix-5552, plain, ( ~class_Orderings_Oord(_u11817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11817), _u11819), _u11818)) | hBOOL(hAPP(hAPP(c_member(_u11817), _u11818), hAPP(c_SetInterval_Oord__class_OatLeast(_u11817), _u11819))) )).
% 12.21/12.46 cnf(matrix-5553, plain, ( ~class_Orderings_Oorder(_u11820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11820, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11821)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11820), _u11822), _u11821)) )).
% 12.21/12.46 cnf(matrix-5554, plain, ( ~class_Orderings_Oorder(_u11820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11820), _u11822), _u11821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11820, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11821)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11820), _u11822))) )).
% 12.21/12.46 cnf(matrix-5555, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5556, plain, ( ~class_Orderings_Olinorder(_u11823) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11823, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11823), _u11824)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11823), _u11824)) )).
% 12.21/12.46 cnf(matrix-5557, plain, ( ~class_Orderings_Olinorder(_u11825) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11825, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11825), _u11826)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11825), _u11826)) )).
% 12.21/12.46 cnf(matrix-5558, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11827)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11827)) )).
% 12.21/12.46 cnf(matrix-5559, plain, ( ~class_Orderings_Olinorder(_u11828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11828), _u11829), _u11830)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11828, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11828, _u11829), _u11830)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11828), _u11830)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11828), _u11829)) )).
% 12.21/12.46 cnf(matrix-5560, plain, ( ~class_Orderings_Oorder(_u11831) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11831, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11831, _u11832), _u11833)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11831), _u11833)) = c_Orderings_Obot__class_Obot(tc_fun(_u11831, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5561, plain, ( ~class_Orderings_Olinorder(_u11834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11834, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11834, _u11835, _u11836)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11834), _u11837)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11834, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11834), _u11835), _u11837), _u11836)) )).
% 12.21/12.46 cnf(matrix-5562, plain, ( ~class_Orderings_Olinorder(_u11838) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11838, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11838), _u11839)), c_SetInterval_Oord__class_OatLeastAtMost(_u11838, _u11840, _u11841)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11838, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11838), _u11839), _u11840), _u11841)) )).
% 12.21/12.46 cnf(matrix-5563, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5564, plain, ( ~class_Orderings_Oorder(_u11842) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11842, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11842, _u11843, _u11844)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11842), _u11844)) = c_Orderings_Obot__class_Obot(tc_fun(_u11842, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5565, plain, ( ~class_Groups_Oordered__ab__group__add(_u11845) | ( hAPP(c_Set_Oimage(_u11845, _u11845, c_Groups_Ouminus__class_Ouminus(_u11845)), hAPP(c_SetInterval_Oord__class_OatMost(_u11845), _u11846)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11845), hAPP(c_Groups_Ouminus__class_Ouminus(_u11845), _u11846))) )).
% 12.21/12.46 cnf(matrix-5566, plain, ( ~class_Groups_Oordered__ab__group__add(_u11847) | ( hAPP(c_Set_Oimage(_u11847, _u11847, c_Groups_Ouminus__class_Ouminus(_u11847)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11847), _u11848)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11847), hAPP(c_Groups_Ouminus__class_Ouminus(_u11847), _u11848))) )).
% 12.21/12.46 cnf(matrix-5567, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11849)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u11849)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11849), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-5568, plain, ( ~class_Orderings_Oorder(_u11850) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11850, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11850), _u11851)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11850), _u11851)) = hAPP(hAPP(c_Set_Oinsert(_u11850), _u11851), c_Orderings_Obot__class_Obot(tc_fun(_u11850, tc_HOL_Obool)))) )).
% 12.21/12.46 cnf(matrix-5569, plain, ( ~class_Orderings_Olinorder(_u11852) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11852, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11852), _u11853), c_Orderings_Obot__class_Obot(tc_fun(_u11852, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11852), _u11853)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11852), _u11853)) )).
% 12.21/12.46 cnf(matrix-5570, plain, ( ~class_Groups_Ocomm__monoid__add(_u11855) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11856), _u11857)) | ( _u11857 = c_Orderings_Obot__class_Obot(tc_fun(_u11856, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11858), _u11857)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11859), _u11857))) | hBOOL(hAPP(hAPP(c_member(_u11856), skolem261(_u11859, _u11858, _u11857, _u11856, _u11855)), _u11857)) )).
% 12.21/12.46 cnf(matrix-5571, plain, ( ~class_Groups_Ocomm__monoid__add(_u11855) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11856), _u11857)) | ( _u11857 = c_Orderings_Obot__class_Obot(tc_fun(_u11856, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11858), _u11857)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11856, _u11855), _u11859), _u11857))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(_u11858, skolem261(_u11859, _u11858, _u11857, _u11856, _u11855))), hAPP(_u11859, skolem261(_u11859, _u11858, _u11857, _u11856, _u11855)))) )).
% 12.21/12.46 cnf(matrix-5572, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), _u11862), _u11863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), c_Groups_Ozero__class_Ozero(_u11861)), skolem262(_u11863, _u11862, _u11861))) )).
% 12.21/12.46 cnf(matrix-5573, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), _u11862), _u11863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), skolem262(_u11863, _u11862, _u11861)), c_Groups_Oone__class_Oone(_u11861))) )).
% 12.21/12.46 cnf(matrix-5574, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11861) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), _u11862), _u11863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11861), skolem262(_u11863, _u11862, _u11861)), _u11862)), _u11863)) )).
% 12.21/12.46 cnf(matrix-5575, plain, ( ~class_Groups_Ocomm__monoid__add(_u11865) | ~class_Groups_Ocomm__monoid__mult(_u11865) | ( _u11866 != _u11867) | ~c_Nat__Transfer_Onat__set(_u11867) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11868), _u11866) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11869), _u11867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem263(_u11869, _u11868, _u11867, _u11866, _u11865))) )).
% 12.21/12.46 cnf(matrix-5576, plain, ( ~class_Groups_Ocomm__monoid__add(_u11865) | ~class_Groups_Ocomm__monoid__mult(_u11865) | ( _u11866 != _u11867) | ~c_Nat__Transfer_Onat__set(_u11867) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11868), _u11866) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11865), _u11869), _u11867)) | ( hAPP(_u11868, skolem263(_u11869, _u11868, _u11867, _u11866, _u11865)) != hAPP(_u11869, skolem263(_u11869, _u11868, _u11867, _u11866, _u11865))) )).
% 12.21/12.46 cnf(matrix-5577, plain, ( ~class_Groups_Osgn__if(_u11870) | ( _u11871 != c_Groups_Ozero__class_Ozero(_u11870)) | ( c_Groups_Osgn__class_Osgn(_u11870, _u11871) = c_Groups_Ozero__class_Ozero(_u11870)) )).
% 12.21/12.46 cnf(matrix-5578, plain, ( ~class_Groups_Osgn__if(_u11870) | ( _u11871 = c_Groups_Ozero__class_Ozero(_u11870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), c_Groups_Ozero__class_Ozero(_u11870)), _u11871)) | ( c_Groups_Osgn__class_Osgn(_u11870, _u11871) = c_Groups_Oone__class_Oone(_u11870)) )).
% 12.21/12.46 cnf(matrix-5579, plain, ( ~class_Groups_Osgn__if(_u11870) | ( _u11871 = c_Groups_Ozero__class_Ozero(_u11870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), c_Groups_Ozero__class_Ozero(_u11870)), _u11871)) | ( c_Groups_Osgn__class_Osgn(_u11870, _u11871) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11870), c_Groups_Oone__class_Oone(_u11870))) )).
% 12.21/12.46 cnf(matrix-5580, plain, ( ~class_Rings_Olinordered__idom(_u11872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11872), _u11873), c_Groups_Ozero__class_Ozero(_u11872))) | ( c_Groups_Osgn__class_Osgn(_u11872, _u11873) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11872), c_Groups_Oone__class_Oone(_u11872))) )).
% 12.21/12.46 cnf(matrix-5581, plain, ( ~class_Rings_Olinordered__idom(_u11874) | ( c_Groups_Osgn__class_Osgn(_u11874, _u11875) != hAPP(c_Groups_Ouminus__class_Ouminus(_u11874), c_Groups_Oone__class_Oone(_u11874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11875), c_Groups_Ozero__class_Ozero(_u11874))) )).
% 12.21/12.46 cnf(matrix-5582, plain, ( ~class_Rings_Olinordered__idom(_u11874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11875), c_Groups_Ozero__class_Ozero(_u11874))) | ( c_Groups_Osgn__class_Osgn(_u11874, _u11875) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11874), c_Groups_Oone__class_Oone(_u11874))) )).
% 12.21/12.46 cnf(matrix-5583, plain, ( ~class_Groups_Osgn__if(_u11876) | ( c_Groups_Osgn__class_Osgn(_u11876, c_Groups_Ozero__class_Ozero(_u11876)) = c_Groups_Ozero__class_Ozero(_u11876)) )).
% 12.21/12.46 cnf(matrix-5584, plain, ( ~class_Rings_Olinordered__idom(_u11877) | ( c_Groups_Osgn__class_Osgn(_u11877, _u11878) != c_Groups_Ozero__class_Ozero(_u11877)) | ( _u11878 = c_Groups_Ozero__class_Ozero(_u11877)) )).
% 12.21/12.46 cnf(matrix-5585, plain, ( ~class_Rings_Olinordered__idom(_u11877) | ( _u11878 != c_Groups_Ozero__class_Ozero(_u11877)) | ( c_Groups_Osgn__class_Osgn(_u11877, _u11878) = c_Groups_Ozero__class_Ozero(_u11877)) )).
% 12.21/12.46 cnf(matrix-5586, plain, ( ~class_Rings_Olinordered__idom(_u11879) | ( c_Groups_Osgn__class_Osgn(_u11879, c_Groups_Osgn__class_Osgn(_u11879, _u11880)) = c_Groups_Osgn__class_Osgn(_u11879, _u11880)) )).
% 12.21/12.46 cnf(matrix-5587, plain, ( ~class_Rings_Olinordered__idom(_u11881) | ( c_Groups_Osgn__class_Osgn(_u11881, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11881), _u11882), _u11883)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11881), c_Groups_Osgn__class_Osgn(_u11881, _u11882)), c_Groups_Osgn__class_Osgn(_u11881, _u11883))) )).
% 12.21/12.46 cnf(matrix-5588, plain, ( ~class_Rings_Olinordered__idom(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), c_Groups_Osgn__class_Osgn(_u11884, _u11885)), c_Groups_Ozero__class_Ozero(_u11884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), _u11885), c_Groups_Ozero__class_Ozero(_u11884))) )).
% 12.21/12.46 cnf(matrix-5589, plain, ( ~class_Rings_Olinordered__idom(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), _u11885), c_Groups_Ozero__class_Ozero(_u11884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11884), c_Groups_Osgn__class_Osgn(_u11884, _u11885)), c_Groups_Ozero__class_Ozero(_u11884))) )).
% 12.21/12.46 cnf(matrix-5590, plain, ( ~class_Rings_Olinordered__idom(_u11886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), c_Groups_Osgn__class_Osgn(_u11886, _u11887))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), _u11887)) )).
% 12.21/12.46 cnf(matrix-5591, plain, ( ~class_Rings_Olinordered__idom(_u11886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), _u11887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11886), c_Groups_Ozero__class_Ozero(_u11886)), c_Groups_Osgn__class_Osgn(_u11886, _u11887))) )).
% 12.21/12.46 cnf(matrix-5592, plain, ( ~class_Rings_Olinordered__idom(_u11888) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11888), c_Groups_Ozero__class_Ozero(_u11888)), _u11889)) | ( c_Groups_Osgn__class_Osgn(_u11888, _u11889) = c_Groups_Oone__class_Oone(_u11888)) )).
% 12.21/12.46 cnf(matrix-5593, plain, ( ~class_Rings_Olinordered__idom(_u11890) | ( c_Groups_Osgn__class_Osgn(_u11890, _u11891) != c_Groups_Oone__class_Oone(_u11890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11890), c_Groups_Ozero__class_Ozero(_u11890)), _u11891)) )).
% 12.21/12.46 cnf(matrix-5594, plain, ( ~class_Rings_Olinordered__idom(_u11890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11890), c_Groups_Ozero__class_Ozero(_u11890)), _u11891)) | ( c_Groups_Osgn__class_Osgn(_u11890, _u11891) = c_Groups_Oone__class_Oone(_u11890)) )).
% 12.21/12.46 cnf(matrix-5595, plain, ( ( _u11893 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11893) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5596, plain, ( ( _u11894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11894)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11894) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5597, plain, ( ( _u11894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11894)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11894) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5598, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u11895, _u11896, _u11897, c_Code__Numeral_OSuc__code__numeral(_u11898)) = hAPP(_u11897, _u11898)) )).
% 12.21/12.46 cnf(matrix-5599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11900), 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), _u11900), _u11901))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11899))), _u11901)) )).
% 12.21/12.46 cnf(matrix-5600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11903), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11904), 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), _u11904), _u11903))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11902)))) )).
% 12.21/12.46 cnf(matrix-5601, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11905) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11905), hAPP(c_Groups_Oabs__class_Oabs(_u11905), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11906, _u11905), _u11907), _u11908))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11906, _u11905), hAPP(hAPP(c_COMBB(_u11905, _u11905, _u11906), c_Groups_Oabs__class_Oabs(_u11905)), _u11907)), _u11908))) )).
% 12.21/12.46 cnf(matrix-5602, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11909) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11909), c_Groups_Ozero__class_Ozero(_u11909)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11910, _u11909), hAPP(hAPP(c_COMBB(_u11909, _u11909, _u11910), c_Groups_Oabs__class_Oabs(_u11909)), _u11911)), _u11912))) )).
% 12.21/12.46 cnf(matrix-5603, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11913) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11913), _u11914), _u11915)) = hAPP(c_Groups_Oabs__class_Oabs(_u11913), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11913), _u11915), _u11914))) )).
% 12.21/12.46 cnf(matrix-5604, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11916) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11916), hAPP(c_Groups_Oabs__class_Oabs(_u11916), _u11917)), c_Groups_Ozero__class_Ozero(_u11916))) )).
% 12.21/12.46 cnf(matrix-5605, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11918) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11918), c_Groups_Ozero__class_Ozero(_u11918)), hAPP(c_Groups_Oabs__class_Oabs(_u11918), _u11919))) | ( _u11919 != c_Groups_Ozero__class_Ozero(_u11918)) )).
% 12.21/12.46 cnf(matrix-5606, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11918) | ( _u11919 = c_Groups_Ozero__class_Ozero(_u11918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11918), c_Groups_Ozero__class_Ozero(_u11918)), hAPP(c_Groups_Oabs__class_Oabs(_u11918), _u11919))) )).
% 12.21/12.46 cnf(matrix-5607, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11920), c_Groups_Ozero__class_Ozero(_u11920)), _u11921)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11920), _u11921) = _u11921) )).
% 12.21/12.46 cnf(matrix-5608, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11922) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11922), c_Groups_Ozero__class_Ozero(_u11922)), hAPP(c_Groups_Oabs__class_Oabs(_u11922), _u11923))) )).
% 12.21/12.46 cnf(matrix-5609, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11924) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11924), hAPP(c_Groups_Oabs__class_Oabs(_u11924), _u11925)), c_Groups_Ozero__class_Ozero(_u11924))) | ( _u11925 = c_Groups_Ozero__class_Ozero(_u11924)) )).
% 12.21/12.46 cnf(matrix-5610, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11924) | ( _u11925 != c_Groups_Ozero__class_Ozero(_u11924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11924), hAPP(c_Groups_Oabs__class_Oabs(_u11924), _u11925)), c_Groups_Ozero__class_Ozero(_u11924))) )).
% 12.21/12.46 cnf(matrix-5611, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11927)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11926), _u11927) = _u11927) )).
% 12.21/12.46 cnf(matrix-5612, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11928), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11929, _u11928), hAPP(hAPP(c_COMBB(_u11928, _u11928, _u11929), c_Groups_Oabs__class_Oabs(_u11928)), _u11930)), _u11931)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11929, _u11928), hAPP(hAPP(c_COMBB(_u11928, _u11928, _u11929), c_Groups_Oabs__class_Oabs(_u11928)), _u11930)), _u11931)) )).
% 12.21/12.46 cnf(matrix-5613, plain, ( ~class_Rings_Olinordered__idom(_u11932) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11932), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11932), _u11933)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11932), _u11933)) )).
% 12.21/12.46 cnf(matrix-5614, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11934)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11934)) )).
% 12.21/12.46 cnf(matrix-5615, plain, ( ~class_Fields_Olinordered__field(_u11935) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11935), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11936, _u11935), _u11937), _u11938)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11936, _u11935), hAPP(hAPP(c_COMBB(_u11935, _u11935, _u11936), c_Groups_Oabs__class_Oabs(_u11935)), _u11937)), _u11938)) )).
% 12.21/12.46 cnf(matrix-5616, plain, ( ~class_Rings_Olinordered__idom(_u11939) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11939), c_Groups_Oone__class_Oone(_u11939)) = c_Groups_Oone__class_Oone(_u11939)) )).
% 12.21/12.46 cnf(matrix-5617, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11940) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11940), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11940), _u11941), _u11942)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11940), hAPP(c_Groups_Oabs__class_Oabs(_u11940), _u11941)), hAPP(c_Groups_Oabs__class_Oabs(_u11940), _u11942))) )).
% 12.21/12.46 cnf(matrix-5618, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11943) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11943), hAPP(c_Groups_Ouminus__class_Ouminus(_u11943), _u11944)) = hAPP(c_Groups_Oabs__class_Oabs(_u11943), _u11944)) )).
% 12.21/12.46 cnf(matrix-5619, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11945) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11945), hAPP(c_Groups_Oabs__class_Oabs(_u11945), _u11946)) = hAPP(c_Groups_Oabs__class_Oabs(_u11945), _u11946)) )).
% 12.21/12.46 cnf(matrix-5620, plain, ( ~class_Rings_Olinordered__idom(_u11947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11947), _u11948), _u11949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11947), hAPP(c_Groups_Oabs__class_Oabs(_u11947), _u11948)), hAPP(c_Groups_Oabs__class_Oabs(_u11947), _u11949))) )).
% 12.21/12.46 cnf(matrix-5621, plain, ( ~class_Rings_Olinordered__idom(_u11950) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), hAPP(c_Groups_Oabs__class_Oabs(_u11950), _u11951)), hAPP(c_Groups_Oabs__class_Oabs(_u11950), _u11951)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), _u11951), _u11951)) )).
% 12.21/12.46 cnf(matrix-5622, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11952) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11952), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11952), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11953)), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11954))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11952), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11953)), hAPP(c_Groups_Oabs__class_Oabs(_u11952), _u11954))) )).
% 12.21/12.46 cnf(matrix-5623, plain, ( ~class_Rings_Olinordered__idom(_u11955) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11955), hAPP(hAPP(c_Power_Opower__class_Opower(_u11955), _u11956), _u11957)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11955), hAPP(c_Groups_Oabs__class_Oabs(_u11955), _u11956)), _u11957)) )).
% 12.21/12.46 cnf(matrix-5624, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11958) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11958), _u11959) != c_Groups_Ozero__class_Ozero(_u11958)) | ( _u11959 = c_Groups_Ozero__class_Ozero(_u11958)) )).
% 12.21/12.46 cnf(matrix-5625, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11958) | ( _u11959 != c_Groups_Ozero__class_Ozero(_u11958)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11958), _u11959) = c_Groups_Ozero__class_Ozero(_u11958)) )).
% 12.21/12.46 cnf(matrix-5626, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11960) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11960), c_Groups_Ozero__class_Ozero(_u11960)) = c_Groups_Ozero__class_Ozero(_u11960)) )).
% 12.21/12.46 cnf(matrix-5627, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11961), hAPP(c_Groups_Oabs__class_Oabs(_u11961), _u11962)), _u11963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11961), _u11962), _u11963)) )).
% 12.21/12.46 cnf(matrix-5628, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11964), _u11965), hAPP(c_Groups_Oabs__class_Oabs(_u11964), _u11965))) )).
% 12.21/12.46 cnf(matrix-5629, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11966) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11966), hAPP(c_Groups_Oabs__class_Oabs(_u11966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11966), hAPP(c_Groups_Oabs__class_Oabs(_u11966), _u11967)), hAPP(c_Groups_Oabs__class_Oabs(_u11966), _u11968)))), hAPP(c_Groups_Oabs__class_Oabs(_u11966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11966), _u11967), _u11968)))) )).
% 12.21/12.46 cnf(matrix-5630, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11969), hAPP(c_Groups_Oabs__class_Oabs(_u11969), _u11970)), hAPP(c_Groups_Oabs__class_Oabs(_u11969), _u11971))), hAPP(c_Groups_Oabs__class_Oabs(_u11969), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11969), _u11970), _u11971)))) )).
% 12.21/12.46 cnf(matrix-5631, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11972) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11972), hAPP(c_Groups_Oabs__class_Oabs(_u11972), _u11973)), hAPP(c_Groups_Oabs__class_Oabs(_u11972), _u11974))), hAPP(c_Groups_Oabs__class_Oabs(_u11972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11972), _u11974), _u11973)))) )).
% 12.21/12.46 cnf(matrix-5632, plain, ( ~class_Rings_Olinordered__idom(_u11975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11975), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11976)), _u11977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11975), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11978)), _u11979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11975), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11975), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11976)), hAPP(c_Groups_Oabs__class_Oabs(_u11975), _u11978))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11975), _u11977), _u11979))) )).
% 12.21/12.46 cnf(matrix-5633, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11980), hAPP(c_Groups_Oabs__class_Oabs(_u11980), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11980), _u11981), _u11982))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11980), hAPP(c_Groups_Oabs__class_Oabs(_u11980), _u11981)), hAPP(c_Groups_Oabs__class_Oabs(_u11980), _u11982)))) )).
% 12.21/12.46 cnf(matrix-5634, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11983) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11983), hAPP(c_Groups_Ouminus__class_Ouminus(_u11983), _u11984)), hAPP(c_Groups_Oabs__class_Oabs(_u11983), _u11984))) )).
% 12.21/12.46 cnf(matrix-5635, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Oabs__class_Oabs(_u11985), _u11986)), _u11987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), _u11986), _u11987)) )).
% 12.21/12.46 cnf(matrix-5636, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Oabs__class_Oabs(_u11985), _u11986)), _u11987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Ouminus__class_Ouminus(_u11985), _u11986)), _u11987)) )).
% 12.21/12.46 cnf(matrix-5637, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), _u11986), _u11987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Ouminus__class_Ouminus(_u11985), _u11986)), _u11987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11985), hAPP(c_Groups_Oabs__class_Oabs(_u11985), _u11986)), _u11987)) )).
% 12.21/12.46 cnf(matrix-5638, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11988), _u11989), _u11990)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11988), hAPP(c_Groups_Ouminus__class_Ouminus(_u11988), _u11989)), _u11990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11988), hAPP(c_Groups_Oabs__class_Oabs(_u11988), _u11989)), _u11990)) )).
% 12.21/12.46 cnf(matrix-5639, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11991), hAPP(c_Groups_Oabs__class_Oabs(_u11991), _u11992)), _u11993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11991), hAPP(c_Groups_Ouminus__class_Ouminus(_u11991), _u11992)), _u11993)) )).
% 12.21/12.46 cnf(matrix-5640, plain, ( ~class_Rings_Olinordered__idom(_u11994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Oabs__class_Oabs(_u11994), _u11995)), _u11996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), _u11995), _u11996)) )).
% 12.21/12.46 cnf(matrix-5641, plain, ( ~class_Rings_Olinordered__idom(_u11994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Oabs__class_Oabs(_u11994), _u11995)), _u11996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Ouminus__class_Ouminus(_u11994), _u11995)), _u11996)) )).
% 12.21/12.46 cnf(matrix-5642, plain, ( ~class_Rings_Olinordered__idom(_u11994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), _u11995), _u11996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Ouminus__class_Ouminus(_u11994), _u11995)), _u11996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11994), hAPP(c_Groups_Oabs__class_Oabs(_u11994), _u11995)), _u11996)) )).
% 12.21/12.46 cnf(matrix-5643, plain, ( ~class_Fields_Olinordered__field(_u11997) | ( _u11998 = c_Groups_Ozero__class_Ozero(_u11997)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11997), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11997), _u11999), _u11998)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11997), hAPP(c_Groups_Oabs__class_Oabs(_u11997), _u11999)), hAPP(c_Groups_Oabs__class_Oabs(_u11997), _u11998))) )).
% 12.21/12.46 cnf(matrix-5644, plain, ( ~class_Rings_Olinordered__idom(_u12000) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12000), hAPP(hAPP(c_Power_Opower__class_Opower(_u12000), hAPP(c_Groups_Ouminus__class_Ouminus(_u12000), _u12001)), _u12002)) = hAPP(c_Groups_Oabs__class_Oabs(_u12000), hAPP(hAPP(c_Power_Opower__class_Opower(_u12000), _u12001), _u12002))) )).
% 12.21/12.46 cnf(matrix-5645, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12003), _u12004)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12003) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5646, plain, ( ~class_Rings_Olinordered__idom(_u12005) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12005), _u12006) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12005), _u12006), c_Groups_Osgn__class_Osgn(_u12005, _u12006))) )).
% 12.21/12.46 cnf(matrix-5647, plain, ( ~class_Rings_Olinordered__idom(_u12007) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12007), c_Groups_Osgn__class_Osgn(_u12007, _u12008)), hAPP(c_Groups_Oabs__class_Oabs(_u12007), _u12008)) = _u12008) )).
% 12.21/12.46 cnf(matrix-5648, plain, ( ~class_Rings_Olinordered__idom(_u12009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12009), c_Groups_Ozero__class_Ozero(_u12009)), _u12010)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12009), hAPP(c_Groups_Oabs__class_Oabs(_u12009), _u12011)), _u12010) = hAPP(c_Groups_Oabs__class_Oabs(_u12009), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12009), _u12011), _u12010))) )).
% 12.21/12.46 cnf(matrix-5649, plain, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12014)) )).
% 12.21/12.46 cnf(matrix-5650, plain, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12014), c_Groups_Ozero__class_Ozero(_u12012))) )).
% 12.21/12.46 cnf(matrix-5651, plain, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12013), c_Groups_Ozero__class_Ozero(_u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), c_Groups_Ozero__class_Ozero(_u12012)), _u12014)) )).
% 12.21/12.46 cnf(matrix-5652, plain, ( ~class_Rings_Oordered__ring__abs(_u12012) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), _u12013), _u12014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12012), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12013)), hAPP(c_Groups_Oabs__class_Oabs(_u12012), _u12014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12013), c_Groups_Ozero__class_Ozero(_u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12012), _u12014), c_Groups_Ozero__class_Ozero(_u12012))) )).
% 12.21/12.46 cnf(matrix-5653, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12015), hAPP(c_Groups_Oabs__class_Oabs(_u12015), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12015), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12015), _u12016), _u12017)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12015), _u12018), _u12019)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12015), hAPP(c_Groups_Oabs__class_Oabs(_u12015), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12015), _u12016), _u12018))), hAPP(c_Groups_Oabs__class_Oabs(_u12015), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12015), _u12017), _u12019))))) )).
% 12.21/12.46 cnf(matrix-5654, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12020), hAPP(c_Groups_Oabs__class_Oabs(_u12020), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12020), _u12021), _u12022))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12020), hAPP(c_Groups_Oabs__class_Oabs(_u12020), _u12021)), hAPP(c_Groups_Oabs__class_Oabs(_u12020), _u12022)))) )).
% 12.21/12.46 cnf(matrix-5655, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12023), hAPP(c_Groups_Ouminus__class_Ouminus(_u12023), hAPP(c_Groups_Oabs__class_Oabs(_u12023), _u12024))), c_Groups_Ozero__class_Ozero(_u12023))) )).
% 12.21/12.46 cnf(matrix-5656, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12025) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12025), _u12026), c_Groups_Ozero__class_Ozero(_u12025))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12025), _u12026) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12025), _u12026)) )).
% 12.21/12.46 cnf(matrix-5657, plain, ( ~class_Groups_Oabs__if(_u12027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12027), _u12028), c_Groups_Ozero__class_Ozero(_u12027))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12027), _u12028) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12027), _u12028)) )).
% 12.21/12.46 cnf(matrix-5658, plain, ( ~class_Groups_Oabs__if(_u12027) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12027), _u12028), c_Groups_Ozero__class_Ozero(_u12027))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12027), _u12028) = _u12028) )).
% 12.21/12.46 cnf(matrix-5659, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12029), _u12030), c_Groups_Ozero__class_Ozero(_u12029))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12029), _u12030) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12029), _u12030)) )).
% 12.21/12.46 cnf(matrix-5660, plain, ( ~class_Rings_Olinordered__idom(_u12031) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12031), c_Groups_Ozero__class_Ozero(_u12031)), hAPP(hAPP(c_Power_Opower__class_Opower(_u12031), hAPP(c_Groups_Oabs__class_Oabs(_u12031), _u12032)), _u12033))) )).
% 12.21/12.46 cnf(matrix-5661, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12034), c_Groups_Ozero__class_Ozero(_u12034)), _u12035)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12034), hAPP(c_Groups_Oabs__class_Oabs(_u12034), _u12036)), _u12035) = hAPP(c_Groups_Oabs__class_Oabs(_u12034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12034), _u12036), _u12035))) )).
% 12.21/12.46 cnf(matrix-5662, plain, ( ~class_Int_Onumber__ring(_u12037) | ~class_Rings_Olinordered__idom(_u12037) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12037), hAPP(c_Int_Onumber__class_Onumber__of(_u12037), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u12037)) )).
% 12.21/12.46 cnf(matrix-5663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12039)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u12039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5664, plain, ( ( _u12040 != 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), _u12040)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12042), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12042) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12042)) )).
% 12.21/12.46 cnf(matrix-5666, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12043), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12043) = _u12043) )).
% 12.21/12.46 cnf(matrix-5667, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12044), _u12045))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12044))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12045)))) )).
% 12.21/12.46 cnf(matrix-5668, 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), _u12046)), _u12047))) )).
% 12.21/12.46 cnf(matrix-5669, plain, ( ~class_Int_Onumber__ring(_u12048) | ~class_Rings_Olinordered__idom(_u12048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)), c_Groups_Ozero__class_Ozero(_u12048))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049))) )).
% 12.21/12.46 cnf(matrix-5670, plain, ( ~class_Int_Onumber__ring(_u12048) | ~class_Rings_Olinordered__idom(_u12048) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)), c_Groups_Ozero__class_Ozero(_u12048))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12048), hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)) = hAPP(c_Int_Onumber__class_Onumber__of(_u12048), _u12049)) )).
% 12.21/12.46 cnf(matrix-5671, plain, ( ~class_Int_Onumber__ring(_u12050) | ~class_Rings_Olinordered__idom(_u12050) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12050), hAPP(hAPP(c_Power_Opower__class_Opower(_u12050), hAPP(c_Int_Onumber__class_Onumber__of(_u12050), c_Int_OMin)), _u12051)) = c_Groups_Oone__class_Oone(_u12050)) )).
% 12.21/12.46 cnf(matrix-5672, 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), _u12054)), _u12056))) | ( _u12054 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12056 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5673, 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), _u12055)), _u12057))) | ( _u12055 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5674, 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), _u12055)), _u12057))) | ( _u12057 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-5675, plain, ( ~class_Rings_Olinordered__idom(_u12058) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12058), hAPP(hAPP(c_Power_Opower__class_Opower(_u12058), _u12059), 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(_u12058), _u12059), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5676, plain, ( ~class_Rings_Olinordered__idom(_u12060) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u12060), hAPP(c_Groups_Oabs__class_Oabs(_u12060), _u12061)), 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(_u12060), _u12061), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.21/12.46 cnf(matrix-5677, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12062, _u12063, _u12064, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12063) )).
% 12.21/12.46 cnf(matrix-5678, plain, ( ( _u12067 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12067, _u12069) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5679, plain, ( ( _u12068 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12070 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12068, _u12070) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12068)) )).
% 12.21/12.46 cnf(matrix-5680, plain, ( ( _u12068 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12070 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12068, _u12070) = 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, _u12070))), 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)), _u12070)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12068))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12070), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12068), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u12068, _u12070)), 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), _u12070))))), c_Divides_Opdivmod(_u12068, _u12070))))) )).
% 12.21/12.46 cnf(matrix-5681, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u12071), _u12072) = 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), _u12071)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12072))))) )).
% 12.21/12.46 cnf(matrix-5682, plain, ( ( _u12075 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12075, _u12077) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5683, plain, ( ( _u12076 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12078 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12076, _u12078) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12076)) )).
% 12.21/12.46 cnf(matrix-5684, plain, ( ( _u12076 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12076, _u12078) = 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, _u12078))), 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, _u12076)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12078))), c_Divides_Opdivmod(_u12076, _u12078)), 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), _u12078))))), c_Divides_Opdivmod(_u12076, _u12078))))) )).
% 12.21/12.46 cnf(matrix-5685, plain, ( ( hAPP(c_Product__Type_Ofst(_u12079, _u12080), hAPP(c_Product__Type_Oapsnd(_u12081, _u12080, _u12079, _u12082), _u12083)) = hAPP(c_Product__Type_Ofst(_u12079, _u12081), _u12083)) )).
% 12.21/12.46 cnf(matrix-5686, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12084, _u12085, _u12086, _u12087), hAPP(hAPP(c_Product__Type_OPair(_u12086, _u12084), _u12088), _u12089)) = hAPP(hAPP(c_Product__Type_OPair(_u12086, _u12085), _u12088), hAPP(_u12087, _u12089))) )).
% 12.21/12.46 cnf(matrix-5687, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12090, _u12091, _u12092, _u12093), hAPP(c_Product__Type_Oapsnd(_u12094, _u12090, _u12092, _u12095), _u12096)) = hAPP(c_Product__Type_Oapsnd(_u12094, _u12091, _u12092, hAPP(c_Fun_Ocomp(_u12090, _u12091, _u12094, _u12093), _u12095)), _u12096)) )).
% 12.21/12.46 cnf(matrix-5688, plain, ( ( hAPP(c_Product__Type_Osnd(_u12097, _u12098), hAPP(c_Product__Type_Oapsnd(_u12099, _u12098, _u12097, _u12100), _u12101)) = hAPP(_u12100, hAPP(c_Product__Type_Osnd(_u12097, _u12099), _u12101))) )).
% 12.21/12.46 cnf(matrix-5689, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12108, _u12110, _u12112, _u12114), _u12116) != hAPP(c_Product__Type_Oapsnd(_u12108, _u12110, _u12112, _u12118), _u12116)) | ( hAPP(_u12114, hAPP(c_Product__Type_Osnd(_u12112, _u12108), _u12116)) = hAPP(_u12118, hAPP(c_Product__Type_Osnd(_u12112, _u12108), _u12116))) )).
% 12.21/12.46 cnf(matrix-5690, plain, ( ( hAPP(_u12115, hAPP(c_Product__Type_Osnd(_u12113, _u12109), _u12117)) != hAPP(_u12119, hAPP(c_Product__Type_Osnd(_u12113, _u12109), _u12117))) | ( hAPP(c_Product__Type_Oapsnd(_u12109, _u12111, _u12113, _u12115), _u12117) = hAPP(c_Product__Type_Oapsnd(_u12109, _u12111, _u12113, _u12119), _u12117)) )).
% 12.21/12.46 cnf(matrix-5691, plain, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.21/12.46 cnf(matrix-5692, plain, ( ( _u12122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12124, _u12122) = _u12124) )).
% 12.21/12.46 cnf(matrix-5693, plain, ( ( _u12123 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12125, _u12123) = c_Nitpick_Onat__gcd(_u12123, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12125, _u12123))) )).
% 12.21/12.46 cnf(matrix-5694, plain, ( ( c_Divides_Opdivmod(_u12126, _u12127) = 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), _u12126)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12127))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12126), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12127)))) )).
% 12.21/12.46 cnf(matrix-5695, plain, ( ( _u12130 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12132, _u12130) = 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), _u12132))) )).
% 12.21/12.46 cnf(matrix-5696, plain, ( ( _u12131 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12133, _u12131) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12133), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12131))) )).
% 12.21/12.46 cnf(matrix-5697, 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), _u12134), _u12135))) | ( _u12135 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12134, _u12135) = _u12134) )).
% 12.21/12.46 cnf(matrix-5698, 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), _u12134), _u12135))) | ( _u12135 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12134, _u12135) = c_Nitpick_Onat__gcd(_u12135, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12134, _u12135))) )).
% 12.21/12.46 cnf(matrix-5699, plain, ( ( c_Nitpick_Onat__lcm(_u12136, _u12137) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12136), _u12137)), c_Nitpick_Onat__gcd(_u12136, _u12137))) )).
% 12.21/12.46 cnf(matrix-5700, plain, ( ( c_Nitpick_Oint__lcm(_u12138, _u12139) = 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), _u12138)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12139))))) )).
% 12.21/12.46 cnf(matrix-5701, 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), _u12142), _u12143))) | hBOOL(hAPP(hAPP(_u12144, _u12142), _u12143)) | 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), skolem264(_u12144, _u12143, _u12142)), skolem265(_u12144, _u12143, _u12142)))) )).
% 12.21/12.46 cnf(matrix-5702, 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), _u12142), _u12143))) | hBOOL(hAPP(hAPP(_u12144, _u12142), _u12143)) | ( skolem265(_u12144, _u12143, _u12142) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u12144, skolem265(_u12144, _u12143, _u12142)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem264(_u12144, _u12143, _u12142), skolem265(_u12144, _u12143, _u12142)))) )).
% 12.21/12.46 cnf(matrix-5703, 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), _u12142), _u12143))) | hBOOL(hAPP(hAPP(_u12144, _u12142), _u12143)) | ~hBOOL(hAPP(hAPP(_u12144, skolem264(_u12144, _u12143, _u12142)), skolem265(_u12144, _u12143, _u12142))) )).
% 12.21/12.46 cnf(matrix-5704, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12145, _u12146, _u12147, _u12148), hAPP(c_Product__Type_Oapsnd(_u12149, _u12147, _u12145, _u12150), _u12151)) = hAPP(hAPP(c_Product__Type_OPair(_u12146, _u12147), hAPP(_u12148, hAPP(c_Product__Type_Ofst(_u12145, _u12149), _u12151))), hAPP(_u12150, hAPP(c_Product__Type_Osnd(_u12145, _u12149), _u12151)))) )).
% 12.21/12.46 cnf(matrix-5705, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12152, _u12153, _u12154, _u12155), hAPP(c_Product__Type_Oapfst(_u12156, _u12154, _u12152, _u12157), _u12158)) = hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12153), hAPP(_u12157, hAPP(c_Product__Type_Ofst(_u12156, _u12152), _u12158))), hAPP(_u12155, hAPP(c_Product__Type_Osnd(_u12156, _u12152), _u12158)))) )).
% 12.21/12.46 cnf(matrix-5706, plain, ( ( hAPP(c_Product__Type_Osnd(_u12159, _u12160), hAPP(c_Product__Type_Oapfst(_u12161, _u12159, _u12160, _u12162), _u12163)) = hAPP(c_Product__Type_Osnd(_u12161, _u12160), _u12163)) )).
% 12.21/12.46 cnf(matrix-5707, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12164, _u12165, _u12166, _u12167), hAPP(hAPP(c_Product__Type_OPair(_u12164, _u12166), _u12168), _u12169)) = hAPP(hAPP(c_Product__Type_OPair(_u12165, _u12166), hAPP(_u12167, _u12168)), _u12169)) )).
% 12.21/12.46 cnf(matrix-5708, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12170, _u12171, _u12172, _u12173), hAPP(c_Product__Type_Oapfst(_u12174, _u12170, _u12172, _u12175), _u12176)) = hAPP(c_Product__Type_Oapfst(_u12174, _u12171, _u12172, hAPP(c_Fun_Ocomp(_u12170, _u12171, _u12174, _u12173), _u12175)), _u12176)) )).
% 12.21/12.46 cnf(matrix-5709, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12183, _u12185, _u12187, _u12189), _u12191) != hAPP(c_Product__Type_Oapfst(_u12183, _u12185, _u12187, _u12193), _u12191)) | ( hAPP(_u12189, hAPP(c_Product__Type_Ofst(_u12183, _u12187), _u12191)) = hAPP(_u12193, hAPP(c_Product__Type_Ofst(_u12183, _u12187), _u12191))) )).
% 12.21/12.46 cnf(matrix-5710, plain, ( ( hAPP(_u12190, hAPP(c_Product__Type_Ofst(_u12184, _u12188), _u12192)) != hAPP(_u12194, hAPP(c_Product__Type_Ofst(_u12184, _u12188), _u12192))) | ( hAPP(c_Product__Type_Oapfst(_u12184, _u12186, _u12188, _u12190), _u12192) = hAPP(c_Product__Type_Oapfst(_u12184, _u12186, _u12188, _u12194), _u12192)) )).
% 12.21/12.46 cnf(matrix-5711, plain, ( ( hAPP(c_Product__Type_Ofst(_u12195, _u12196), hAPP(c_Product__Type_Oapfst(_u12197, _u12195, _u12196, _u12198), _u12199)) = hAPP(_u12198, hAPP(c_Product__Type_Ofst(_u12197, _u12196), _u12199))) )).
% 12.21/12.46 cnf(matrix-5712, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12200, _u12201, _u12202, _u12203), hAPP(c_Product__Type_Oapfst(_u12204, _u12202, _u12200, _u12205), _u12206)) = hAPP(c_Product__Type_Oapfst(_u12204, _u12202, _u12201, _u12205), hAPP(c_Product__Type_Oapsnd(_u12200, _u12201, _u12204, _u12203), _u12206))) )).
% 12.21/12.46 cnf(matrix-5713, plain, ( ~class_Groups_Ocomm__monoid__add(_u12208) | ~class_Groups_Ocomm__monoid__mult(_u12208) | ( _u12209 != _u12210) | ~c_Nat__Transfer_Onat__set(_u12210) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12211), _u12209) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12212), _u12210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem266(_u12212, _u12211, _u12210, _u12209, _u12208))) )).
% 12.21/12.46 cnf(matrix-5714, plain, ( ~class_Groups_Ocomm__monoid__add(_u12208) | ~class_Groups_Ocomm__monoid__mult(_u12208) | ( _u12209 != _u12210) | ~c_Nat__Transfer_Onat__set(_u12210) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12211), _u12209) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12208), _u12212), _u12210)) | ( hAPP(_u12211, skolem266(_u12212, _u12211, _u12210, _u12209, _u12208)) != hAPP(_u12212, skolem266(_u12212, _u12211, _u12210, _u12209, _u12208))) )).
% 12.21/12.46 cnf(matrix-5715, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12216, hAPP(hAPP(c_COMBC(_u12216, tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_fun(_u12216, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12216, tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_fun(_u12216, tc_HOL_Obool)), _u12216), c_COMBC(_u12216, tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12216, tc_prod(_u12216, _u12216)), tc_fun(_u12216, tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool)), _u12216), hAPP(c_COMBB(tc_prod(_u12216, _u12216), tc_fun(tc_fun(tc_prod(_u12216, _u12216), tc_HOL_Obool), tc_HOL_Obool), _u12216), c_member(tc_prod(_u12216, _u12216)))), c_Product__Type_OPair(_u12216, _u12216)))), _u12218)), _u12220)) | hBOOL(hAPP(hAPP(c_member(_u12216), _u12220), c_Wellfounded_Oacc(_u12216, _u12218))) )).
% 12.21/12.46 cnf(matrix-5716, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12217), _u12221), c_Wellfounded_Oacc(_u12217, _u12219))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12217, hAPP(hAPP(c_COMBC(_u12217, tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_fun(_u12217, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12217, tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_fun(_u12217, tc_HOL_Obool)), _u12217), c_COMBC(_u12217, tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12217, tc_prod(_u12217, _u12217)), tc_fun(_u12217, tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool)), _u12217), hAPP(c_COMBB(tc_prod(_u12217, _u12217), tc_fun(tc_fun(tc_prod(_u12217, _u12217), tc_HOL_Obool), tc_HOL_Obool), _u12217), c_member(tc_prod(_u12217, _u12217)))), c_Product__Type_OPair(_u12217, _u12217)))), _u12219)), _u12221)) )).
% 12.21/12.46 cnf(matrix-5717, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12223, _u12224), _u12225), _u12226) = hAPP(c_Set_OCollect(tc_prod(_u12222, _u12224)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12222, _u12224, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool)), tc_fun(_u12224, tc_HOL_Obool), _u12222), hAPP(c_COMBB(tc_fun(_u12223, tc_HOL_Obool), tc_HOL_Obool, _u12224), c_HOL_OEx(_u12223))), hAPP(hAPP(c_COMBC(_u12222, tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool)), tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), tc_fun(tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool)), tc_fun(_u12224, tc_fun(_u12223, tc_HOL_Obool))), _u12222), c_COMBB(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool), _u12224)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), _u12222), c_COMBS(_u12223, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_HOL_Obool), tc_fun(_u12223, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12222), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12223), c_fconj)), hAPP(hAPP(c_COMBC(_u12222, tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), _u12222), c_COMBC(_u12223, tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_prod(_u12222, _u12223)), tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool)), _u12222), hAPP(c_COMBB(tc_prod(_u12222, _u12223), tc_fun(tc_fun(tc_prod(_u12222, _u12223), tc_HOL_Obool), tc_HOL_Obool), _u12223), c_member(tc_prod(_u12222, _u12223)))), c_Product__Type_OPair(_u12222, _u12223)))), _u12225))))), hAPP(hAPP(c_COMBC(_u12224, tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_fun(_u12223, tc_HOL_Obool)), _u12224), c_COMBC(_u12223, tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12223, tc_prod(_u12223, _u12224)), tc_fun(_u12223, tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool)), _u12224), hAPP(c_COMBB(tc_prod(_u12223, _u12224), tc_fun(tc_fun(tc_prod(_u12223, _u12224), tc_HOL_Obool), tc_HOL_Obool), _u12223), c_member(tc_prod(_u12223, _u12224)))), hAPP(c_COMBC(_u12223, _u12224, tc_prod(_u12223, _u12224)), c_Product__Type_OPair(_u12223, _u12224))))), _u12226)))))) )).
% 12.21/12.46 cnf(matrix-5718, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12227, _u12228)), hAPP(hAPP(c_Product__Type_OPair(_u12227, _u12228), _u12229), _u12230)), _u12231)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12228, _u12232)), hAPP(hAPP(c_Product__Type_OPair(_u12228, _u12232), _u12230), _u12233)), _u12234)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12227, _u12232)), hAPP(hAPP(c_Product__Type_OPair(_u12227, _u12232), _u12229), _u12233)), hAPP(hAPP(c_Relation_Orel__comp(_u12227, _u12228, _u12232), _u12231), _u12234))) )).
% 12.21/12.46 cnf(matrix-5719, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12235, _u12236, _u12237), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12235, _u12236), tc_HOL_Obool))), _u12238) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12235, _u12237), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5720, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12239, _u12240, _u12241), _u12242), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12240, _u12241), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12239, _u12241), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5721, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12243, _u12244, _u12245), hAPP(hAPP(c_Relation_Orel__comp(_u12243, _u12246, _u12244), _u12247), _u12248)), _u12249) = hAPP(hAPP(c_Relation_Orel__comp(_u12243, _u12246, _u12245), _u12247), hAPP(hAPP(c_Relation_Orel__comp(_u12246, _u12244, _u12245), _u12248), _u12249))) )).
% 12.21/12.46 cnf(matrix-5722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12252), _u12253)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12251, _u12254), tc_HOL_Obool)), _u12255), _u12256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12250, _u12254), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12250, _u12251, _u12254), _u12252), _u12255)), hAPP(hAPP(c_Relation_Orel__comp(_u12250, _u12251, _u12254), _u12253), _u12256))) )).
% 12.21/12.46 cnf(matrix-5723, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12258, _u12259), _u12260), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12258, _u12259), tc_HOL_Obool)), _u12261), _u12262)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12258, _u12259), _u12260), _u12261)), hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12258, _u12259), _u12260), _u12262))) )).
% 12.21/12.46 cnf(matrix-5724, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12263, _u12264, _u12265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12263, _u12264), tc_HOL_Obool)), _u12266), _u12267)), _u12268) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12263, _u12265), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12263, _u12264, _u12265), _u12266), _u12268)), hAPP(hAPP(c_Relation_Orel__comp(_u12263, _u12264, _u12265), _u12267), _u12268))) )).
% 12.21/12.46 cnf(matrix-5725, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12269, _u12270, _u12271), _u12272), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12273, tc_fun(tc_prod(_u12270, _u12271), tc_HOL_Obool)), _u12274), _u12275)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12273, tc_fun(tc_prod(_u12269, _u12271), tc_HOL_Obool)), _u12274), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12270, _u12271), tc_HOL_Obool), tc_fun(tc_prod(_u12269, _u12271), tc_HOL_Obool), _u12273), hAPP(c_Relation_Orel__comp(_u12269, _u12270, _u12271), _u12272)), _u12275))) )).
% 12.21/12.46 cnf(matrix-5726, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12276, _u12277, _u12278), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12279, tc_fun(tc_prod(_u12276, _u12277), tc_HOL_Obool)), _u12280), _u12281)), _u12282) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12279, tc_fun(tc_prod(_u12276, _u12278), tc_HOL_Obool)), _u12280), hAPP(hAPP(c_COMBC(_u12279, tc_fun(tc_prod(_u12277, _u12278), tc_HOL_Obool), tc_fun(tc_prod(_u12276, _u12278), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12276, _u12277), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12277, _u12278), tc_HOL_Obool), tc_fun(tc_prod(_u12276, _u12278), tc_HOL_Obool)), _u12279), c_Relation_Orel__comp(_u12276, _u12277, _u12278)), _u12281)), _u12282))) )).
% 12.21/12.46 cnf(matrix-5727, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12283, _u12283, _u12283), _u12284), _u12285) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12283, _u12283, _u12283), _u12284), _u12286) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12283, _u12283, _u12283), _u12284), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool)), _u12285), _u12286)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12283, _u12283), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5728, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12287, _u12287, _u12287), _u12288), _u12289) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12287, _u12287, _u12287), _u12290), _u12289) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12287, _u12287, _u12287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool)), _u12288), _u12290)), _u12289) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12287, _u12287), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12291, _u12291), tc_HOL_Obool)), _u12292), _u12293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12291, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12291, _u12293)), c_Wellfounded_Oacc(_u12291, _u12292))) )).
% 12.21/12.46 cnf(matrix-5730, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12299), _u12301), c_Wellfounded_Oacc(_u12299, _u12303))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12299, _u12299)), hAPP(hAPP(c_Product__Type_OPair(_u12299, _u12299), _u12294), _u12301)), _u12303)) | hBOOL(hAPP(hAPP(c_member(_u12299), _u12294), c_Wellfounded_Oacc(_u12299, _u12303))) )).
% 12.21/12.46 cnf(matrix-5731, plain, ( hBOOL(hAPP(hAPP(c_member(_u12300), _u12302), c_Wellfounded_Oacc(_u12300, _u12304))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12300, _u12300)), hAPP(hAPP(c_Product__Type_OPair(_u12300, _u12300), skolem267(_u12304, _u12302, _u12300)), _u12302)), _u12304)) )).
% 12.21/12.46 cnf(matrix-5732, plain, ( hBOOL(hAPP(hAPP(c_member(_u12300), _u12302), c_Wellfounded_Oacc(_u12300, _u12304))) | ~hBOOL(hAPP(hAPP(c_member(_u12300), skolem267(_u12304, _u12302, _u12300)), c_Wellfounded_Oacc(_u12300, _u12304))) )).
% 12.21/12.46 cnf(matrix-5733, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12305), _u12306), c_Wellfounded_Oacc(_u12305, _u12307))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12305, _u12305)), hAPP(hAPP(c_Product__Type_OPair(_u12305, _u12305), _u12308), _u12306)), _u12307)) | hBOOL(hAPP(hAPP(c_member(_u12305), _u12308), c_Wellfounded_Oacc(_u12305, _u12307))) )).
% 12.21/12.46 cnf(matrix-5734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12309, _u12309), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12309, _u12309, _u12309), _u12310), _u12311)), _u12310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12309, _u12310)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12309, _u12311)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12309, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12309, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12309, tc_HOL_Obool), tc_fun(_u12309, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12309, _u12310))) )).
% 12.21/12.46 cnf(matrix-5735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12312, _u12312), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12312, _u12312, _u12312), _u12313), _u12314)), _u12313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12312, _u12313)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12312, _u12314)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12312, tc_HOL_Obool), tc_fun(_u12312, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12312, _u12313))) )).
% 12.21/12.46 cnf(matrix-5736, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12322, _u12324, _u12326, hAPP(hAPP(c_COMBC(_u12322, tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_fun(_u12324, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12324, tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_fun(_u12324, tc_HOL_Obool)), _u12322), c_COMBC(_u12324, tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12324, tc_prod(_u12322, _u12324)), tc_fun(_u12324, tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool)), _u12322), hAPP(c_COMBB(tc_prod(_u12322, _u12324), tc_fun(tc_fun(tc_prod(_u12322, _u12324), tc_HOL_Obool), tc_HOL_Obool), _u12324), c_member(tc_prod(_u12322, _u12324)))), c_Product__Type_OPair(_u12322, _u12324)))), _u12328), hAPP(hAPP(c_COMBC(_u12324, tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_fun(_u12326, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12326, tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_fun(_u12326, tc_HOL_Obool)), _u12324), c_COMBC(_u12326, tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12326, tc_prod(_u12324, _u12326)), tc_fun(_u12326, tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool)), _u12324), hAPP(c_COMBB(tc_prod(_u12324, _u12326), tc_fun(tc_fun(tc_prod(_u12324, _u12326), tc_HOL_Obool), tc_HOL_Obool), _u12326), c_member(tc_prod(_u12324, _u12326)))), c_Product__Type_OPair(_u12324, _u12326)))), _u12330)), _u12332), _u12334)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12322, _u12326)), hAPP(hAPP(c_Product__Type_OPair(_u12322, _u12326), _u12332), _u12334)), hAPP(hAPP(c_Relation_Orel__comp(_u12322, _u12324, _u12326), _u12328), _u12330))) )).
% 12.21/12.46 cnf(matrix-5737, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12323, _u12327)), hAPP(hAPP(c_Product__Type_OPair(_u12323, _u12327), _u12333), _u12335)), hAPP(hAPP(c_Relation_Orel__comp(_u12323, _u12325, _u12327), _u12329), _u12331))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12323, _u12325, _u12327, hAPP(hAPP(c_COMBC(_u12323, tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_fun(_u12325, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12325, tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_fun(_u12325, tc_HOL_Obool)), _u12323), c_COMBC(_u12325, tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12325, tc_prod(_u12323, _u12325)), tc_fun(_u12325, tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool)), _u12323), hAPP(c_COMBB(tc_prod(_u12323, _u12325), tc_fun(tc_fun(tc_prod(_u12323, _u12325), tc_HOL_Obool), tc_HOL_Obool), _u12325), c_member(tc_prod(_u12323, _u12325)))), c_Product__Type_OPair(_u12323, _u12325)))), _u12329), hAPP(hAPP(c_COMBC(_u12325, tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_fun(_u12327, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12327, tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_fun(_u12327, tc_HOL_Obool)), _u12325), c_COMBC(_u12327, tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12327, tc_prod(_u12325, _u12327)), tc_fun(_u12327, tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool)), _u12325), hAPP(c_COMBB(tc_prod(_u12325, _u12327), tc_fun(tc_fun(tc_prod(_u12325, _u12327), tc_HOL_Obool), tc_HOL_Obool), _u12327), c_member(tc_prod(_u12325, _u12327)))), c_Product__Type_OPair(_u12325, _u12327)))), _u12331)), _u12333), _u12335)) )).
% 12.21/12.46 cnf(matrix-5738, plain, ( ~c_Wellfounded_Owf(_u12336, _u12337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12336, _u12336), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12336, _u12336, _u12336), _u12337), _u12338)), _u12337)) | c_FunDef_Oreduction__pair(_u12336, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12336, _u12336), tc_HOL_Obool), tc_fun(tc_prod(_u12336, _u12336), tc_HOL_Obool)), _u12337), _u12338)) )).
% 12.21/12.46 cnf(matrix-5739, plain, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12347), _u12351)) )).
% 12.21/12.46 cnf(matrix-5740, plain, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12347), _u12353)) )).
% 12.21/12.46 cnf(matrix-5741, plain, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | ( _u12353 != c_Orderings_Obot__class_Obot(tc_fun(_u12347, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5742, plain, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | ~hBOOL(hAPP(hAPP(c_member(_u12347), _u12340), _u12351)) | hBOOL(hAPP(hAPP(c_member(_u12347), skolem268(_u12353, _u12351, _u12349, _u12347, _u12340)), _u12353)) )).
% 12.21/12.46 cnf(matrix-5743, plain, ( ~c_Wellfounded_Omax__extp(_u12347, _u12349, _u12351, _u12353) | ~hBOOL(hAPP(hAPP(c_member(_u12347), _u12340), _u12351)) | hBOOL(hAPP(hAPP(_u12349, _u12340), skolem268(_u12353, _u12351, _u12349, _u12347, _u12340))) )).
% 12.21/12.46 cnf(matrix-5744, plain, ( c_Wellfounded_Omax__extp(_u12348, _u12350, _u12352, _u12354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12354)) | ( _u12354 = c_Orderings_Obot__class_Obot(tc_fun(_u12348, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12348), skolem269(_u12354, _u12352, _u12350, _u12348)), _u12352)) )).
% 12.21/12.46 cnf(matrix-5745, plain, ( c_Wellfounded_Omax__extp(_u12348, _u12350, _u12352, _u12354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12352)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12348), _u12354)) | ( _u12354 = c_Orderings_Obot__class_Obot(tc_fun(_u12348, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12348), _u12341), _u12354)) | ~hBOOL(hAPP(hAPP(_u12350, skolem269(_u12354, _u12352, _u12350, _u12348)), _u12341)) )).
% 12.21/12.46 cnf(matrix-5746, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.21/12.46 cnf(matrix-5747, plain, ( ~hBOOL(hAPP(hAPP(_u12355, _u12356), _u12357)) | ~hBOOL(hAPP(hAPP(_u12358, _u12357), _u12359)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12360, _u12361, _u12362, _u12355, _u12358), _u12356), _u12359)) )).
% 12.21/12.46 cnf(matrix-5748, plain, ( c_Wellfounded_Owf(_u12363, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12363, _u12363), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5749, plain, ( ~c_Wellfounded_Owf(_u12364, _u12365) | c_Wellfounded_Owf(_u12366, hAPP(hAPP(c_Relation_Oinv__image(_u12364, _u12366), _u12365), _u12367)) )).
% 12.21/12.46 cnf(matrix-5750, plain, ( ~c_Wellfounded_Owf(_u12368, _u12369) | ~c_Wellfounded_Owf(_u12370, _u12371) | c_Wellfounded_Owf(tc_prod(_u12368, _u12370), c_Wellfounded_Olex__prod(_u12368, _u12370, _u12369, _u12371)) )).
% 12.21/12.46 cnf(matrix-5751, plain, ( c_Wellfounded_Owf(_u12372, hAPP(c_Wellfounded_Omeasure(_u12372), _u12373)) )).
% 12.21/12.46 cnf(matrix-5752, plain, ( ~c_Wellfounded_Owf(_u12376, _u12378) | c_Wellfounded_Owf(_u12376, hAPP(hAPP(c_Relation_Orel__comp(_u12376, _u12376, _u12376), _u12378), _u12378)) )).
% 12.21/12.46 cnf(matrix-5753, plain, ( ~c_Wellfounded_Owf(_u12377, hAPP(hAPP(c_Relation_Orel__comp(_u12377, _u12377, _u12377), _u12379), _u12379)) | c_Wellfounded_Owf(_u12377, _u12379) )).
% 12.21/12.46 cnf(matrix-5754, plain, ( c_Wellfounded_Owf(tc_fun(_u12380, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12380)) )).
% 12.21/12.46 cnf(matrix-5755, plain, ( ~c_Wellfounded_Owf(_u12381, _u12382) | c_Wellfounded_Owf(_u12381, c_Wellfounded_Omlex__prod(_u12381, _u12383, _u12382)) )).
% 12.21/12.46 cnf(matrix-5756, plain, ( ~c_Wellfounded_Owf(_u12384, _u12385) | c_Wellfounded_Owf(_u12384, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12384, _u12384), tc_HOL_Obool)), _u12386), _u12385)) )).
% 12.21/12.46 cnf(matrix-5757, plain, ( ~c_Wellfounded_Owf(_u12387, _u12388) | c_Wellfounded_Owf(_u12387, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), _u12388), _u12389)) )).
% 12.21/12.46 cnf(matrix-5758, plain, ( ~c_Wellfounded_Owf(_u12390, _u12391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12390, _u12390), tc_HOL_Obool)), _u12392), _u12391)) | c_Wellfounded_Owf(_u12390, _u12392) )).
% 12.21/12.46 cnf(matrix-5759, plain, ( ~c_Wellfounded_Owf(_u12393, _u12394) | c_Wellfounded_Owf(tc_fun(_u12393, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12393, _u12394)) )).
% 12.21/12.46 cnf(matrix-5760, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12404, _u12406, _u12408, _u12410, _u12412), _u12414), _u12416)) | hBOOL(hAPP(hAPP(_u12410, _u12414), skolem270(_u12416, _u12414, _u12412, _u12410))) )).
% 12.21/12.46 cnf(matrix-5761, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12404, _u12406, _u12408, _u12410, _u12412), _u12414), _u12416)) | hBOOL(hAPP(hAPP(_u12412, skolem270(_u12416, _u12414, _u12412, _u12410)), _u12416)) )).
% 12.21/12.46 cnf(matrix-5762, plain, ( ~hBOOL(hAPP(hAPP(_u12411, _u12415), _u12396)) | ~hBOOL(hAPP(hAPP(_u12413, _u12396), _u12417)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12405, _u12407, _u12409, _u12411, _u12413), _u12415), _u12417)) )).
% 12.21/12.46 cnf(matrix-5763, plain, ( ~c_Wellfounded_Owf(_u12418, _u12419) | c_Wellfounded_Owf(tc_fun(_u12418, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12418, _u12419)) )).
% 12.21/12.46 cnf(matrix-5764, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.21/12.46 cnf(matrix-5765, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-5766, plain, ( ~c_Wellfounded_Owf(_u12420, _u12421) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12420, _u12420)), hAPP(hAPP(c_Product__Type_OPair(_u12420, _u12420), _u12422), _u12422)), _u12421)) )).
% 12.21/12.46 cnf(matrix-5767, plain, ( ~c_Wellfounded_Owf(_u12423, _u12424) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12423, _u12423)), hAPP(hAPP(c_Product__Type_OPair(_u12423, _u12423), _u12425), _u12426)), _u12424)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12423, _u12423)), hAPP(hAPP(c_Product__Type_OPair(_u12423, _u12423), _u12426), _u12425)), _u12424)) )).
% 12.21/12.46 cnf(matrix-5768, plain, ( ~c_Wellfounded_Owf(_u12427, _u12428) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12427, _u12427)), hAPP(hAPP(c_Product__Type_OPair(_u12427, _u12427), _u12429), _u12430)), _u12428)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12427, _u12427)), hAPP(hAPP(c_Product__Type_OPair(_u12427, _u12427), _u12430), _u12429)), _u12428)) )).
% 12.21/12.46 cnf(matrix-5769, plain, ( ~c_Wellfounded_Owf(_u12431, _u12432) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12431, _u12431)), hAPP(hAPP(c_Product__Type_OPair(_u12431, _u12431), _u12433), _u12433)), _u12432)) )).
% 12.21/12.46 cnf(matrix-5770, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12434)) )).
% 12.21/12.46 cnf(matrix-5771, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12435)) )).
% 12.21/12.46 cnf(matrix-5772, plain, ( ~c_Wellfounded_Owf(_u12440, _u12442) | hBOOL(hAPP(hAPP(c_member(_u12440), _u12436), c_Wellfounded_Oacc(_u12440, _u12442))) )).
% 12.21/12.46 cnf(matrix-5773, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12441), skolem271(_u12443, _u12441)), c_Wellfounded_Oacc(_u12441, _u12443))) | c_Wellfounded_Owf(_u12441, _u12443) )).
% 12.21/12.46 cnf(matrix-5774, plain, ( ~c_Wellfounded_Owf(_u12444, _u12445) | hBOOL(hAPP(hAPP(c_member(_u12444), _u12446), c_Wellfounded_Oacc(_u12444, _u12445))) )).
% 12.21/12.46 cnf(matrix-5775, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12447, _u12447, _u12447), _u12448), _u12448) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12447, _u12447), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12447, _u12448) )).
% 12.21/12.46 cnf(matrix-5776, plain, ( ~c_Wellfounded_Owf(_u12452, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12452, _u12452), tc_HOL_Obool)), _u12454), _u12456)) | c_Wellfounded_Owf(_u12452, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12452, _u12452), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12452, _u12452), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12452, _u12452, _u12452), _u12454), _u12454)), hAPP(hAPP(c_Relation_Orel__comp(_u12452, _u12452, _u12452), _u12456), _u12454))), _u12456)) )).
% 12.21/12.46 cnf(matrix-5777, plain, ( ~c_Wellfounded_Owf(_u12453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12453, _u12453), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12453, _u12453), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12453, _u12453, _u12453), _u12455), _u12455)), hAPP(hAPP(c_Relation_Orel__comp(_u12453, _u12453, _u12453), _u12457), _u12455))), _u12457)) | c_Wellfounded_Owf(_u12453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12453, _u12453), tc_HOL_Obool)), _u12455), _u12457)) )).
% 12.21/12.46 cnf(matrix-5778, plain, ( ~c_Wellfounded_Owf(_u12464, _u12466) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12464, _u12464)), hAPP(hAPP(c_Product__Type_OPair(_u12464, _u12464), hAPP(_u12459, hAPP(c_Nat_OSuc, skolem272(_u12466, _u12464, _u12459)))), hAPP(_u12459, skolem272(_u12466, _u12464, _u12459)))), _u12466)) )).
% 12.21/12.46 cnf(matrix-5779, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12465, _u12465)), hAPP(hAPP(c_Product__Type_OPair(_u12465, _u12465), hAPP(skolem273(_u12467, _u12465), hAPP(c_Nat_OSuc, _u12460))), hAPP(skolem273(_u12467, _u12465), _u12460))), _u12467)) | c_Wellfounded_Owf(_u12465, _u12467) )).
% 12.21/12.46 cnf(matrix-5780, plain, ( ~c_Wellfounded_Owf(_u12468, _u12469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12468, tc_HOL_Obool)), _u12470), hAPP(c_Relation_OImage(_u12468, _u12468, _u12469), _u12470))) | ( _u12470 = c_Orderings_Obot__class_Obot(tc_fun(_u12468, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5781, plain, ( ~c_Wellfounded_Owf(_u12471, _u12472) | ~c_Wellfounded_Owf(_u12471, _u12473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12471, _u12471), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12471, _u12471, _u12471), _u12472), _u12473)), _u12472)) | c_Wellfounded_Owf(_u12471, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12471, _u12471), tc_HOL_Obool)), _u12472), _u12473)) )).
% 12.21/12.46 cnf(matrix-5782, plain, ( ~class_Orderings_Owellorder(_u12474) | c_Wellfounded_Owf(_u12474, hAPP(c_Set_OCollect(tc_prod(_u12474, _u12474)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12474, _u12474, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12474)))) )).
% 12.21/12.46 cnf(matrix-5783, plain, ( ~c_FunDef_Oreduction__pair(_u12477, _u12479) | c_Wellfounded_Owf(_u12477, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479)) )).
% 12.21/12.46 cnf(matrix-5784, plain, ( ~c_FunDef_Oreduction__pair(_u12477, _u12479) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12477, _u12477, _u12477), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool), tc_fun(tc_prod(_u12477, _u12477), tc_HOL_Obool)), _u12479))) )).
% 12.21/12.46 cnf(matrix-5785, plain, ( ~c_Wellfounded_Owf(_u12478, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12478, _u12478, _u12478), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool), tc_fun(tc_prod(_u12478, _u12478), tc_HOL_Obool)), _u12480))) | c_FunDef_Oreduction__pair(_u12478, _u12480) )).
% 12.21/12.46 cnf(matrix-5786, plain, ( ~c_FunDef_Oreduction__pair(_u12481, _u12482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12483), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool), tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12484), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool), tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12482))) | ~c_Wellfounded_Owf(_u12481, _u12484) | c_Wellfounded_Owf(_u12481, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12481, _u12481), tc_HOL_Obool)), _u12483), _u12484)) )).
% 12.21/12.46 cnf(matrix-5787, plain, ( ~c_Wellfounded_Owf(_u12485, _u12486) | c_Wellfounded_Owf(tc_List_Olist(_u12485), c_List_Olenlex(_u12485, _u12486)) )).
% 12.21/12.46 cnf(matrix-5788, plain, ( c_Wellfounded_Owf(_u12491, hAPP(c_Set_OCollect(tc_prod(_u12491, _u12491)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12491, _u12491, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(_u12491, tc_HOL_Obool), _u12491), hAPP(c_COMBS(_u12491, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12491), c_fconj), _u12488))), hAPP(hAPP(c_COMBC(_u12491, tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), _u12491), c_COMBB(_u12491, tc_HOL_Obool, _u12491)), c_fequal)), _u12490))))) | hBOOL(hAPP(_u12488, skolem274(_u12491, _u12490, _u12489, _u12488))) )).
% 12.21/12.46 cnf(matrix-5789, plain, ( c_Wellfounded_Owf(_u12491, hAPP(c_Set_OCollect(tc_prod(_u12491, _u12491)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12491, _u12491, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(_u12491, tc_HOL_Obool), _u12491), hAPP(c_COMBS(_u12491, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12491), c_fconj), _u12488))), hAPP(hAPP(c_COMBC(_u12491, tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12491, tc_HOL_Obool), tc_fun(tc_fun(_u12491, _u12491), tc_fun(_u12491, tc_HOL_Obool)), _u12491), c_COMBB(_u12491, tc_HOL_Obool, _u12491)), c_fequal)), _u12490))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12489, hAPP(_u12490, skolem274(_u12491, _u12490, _u12489, _u12488)))), hAPP(_u12489, skolem274(_u12491, _u12490, _u12489, _u12488)))) )).
% 12.21/12.46 cnf(matrix-5790, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12495)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12496)) | ( _u12496 = c_Orderings_Obot__class_Obot(tc_fun(_u12494, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)), c_Wellfounded_Omax__ext(_u12494, _u12497))) | hBOOL(hAPP(hAPP(c_member(_u12494), skolem275(_u12497, _u12496, _u12495, _u12494)), _u12495)) )).
% 12.21/12.46 cnf(matrix-5791, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12495)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12494), _u12496)) | ( _u12496 = c_Orderings_Obot__class_Obot(tc_fun(_u12494, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12494, tc_HOL_Obool), tc_fun(_u12494, tc_HOL_Obool)), _u12495), _u12496)), c_Wellfounded_Omax__ext(_u12494, _u12497))) | ~hBOOL(hAPP(hAPP(c_member(_u12494), _u12492), _u12496)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12494, _u12494)), hAPP(hAPP(c_Product__Type_OPair(_u12494, _u12494), skolem275(_u12497, _u12496, _u12495, _u12494)), _u12492)), _u12497)) )).
% 12.21/12.46 cnf(matrix-5792, plain, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.21/12.46 cnf(matrix-5793, plain, ( ~c_Wellfounded_Owf(_u12498, _u12499) | c_Wellfounded_Owf(tc_List_Olist(_u12498), c_List_Olex(_u12498, _u12499)) )).
% 12.21/12.46 cnf(matrix-5794, plain, ( ~c_Wellfounded_Owf(_u12500, _u12501) | c_Wellfounded_Owf(tc_List_Olist(_u12500), hAPP(c_List_Olexn(_u12500, _u12501), _u12502)) )).
% 12.21/12.46 cnf(matrix-5795, plain, ( ( c_List_Olex(_u12503, _u12504) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12503), tc_List_Olist(_u12503)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12503, _u12504))) )).
% 12.21/12.46 cnf(matrix-5796, plain, ( ( hAPP(c_List_Olexn(_u12505, _u12506), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12505), tc_List_Olist(_u12505)), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5797, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.21/12.46 cnf(matrix-5798, plain, ( c_Wellfounded_Owf(tc_prod(_u12511, _u12509), c_Recdef_Osame__fst(_u12511, _u12509, _u12508, _u12510)) | hBOOL(hAPP(_u12508, skolem276(_u12511, _u12510, _u12509, _u12508))) )).
% 12.21/12.46 cnf(matrix-5799, plain, ( c_Wellfounded_Owf(tc_prod(_u12511, _u12509), c_Recdef_Osame__fst(_u12511, _u12509, _u12508, _u12510)) | ~c_Wellfounded_Owf(_u12509, hAPP(_u12510, skolem276(_u12511, _u12510, _u12509, _u12508))) )).
% 12.21/12.46 cnf(matrix-5800, plain, ( ( c_Nitpick_Ozero__frac(_u12512) = c_Nitpick_OAbs__Frac(_u12512, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-5801, plain, ( ( hAPP(c_Relation_ORange(_u12513, _u12514), hAPP(c_Set_OCollect(tc_prod(_u12513, _u12514)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12513, _u12514, tc_HOL_Obool), _u12515))) = hAPP(c_Set_OCollect(_u12514), hAPP(hAPP(c_COMBB(tc_fun(_u12513, tc_HOL_Obool), tc_HOL_Obool, _u12514), c_HOL_OEx(_u12513)), hAPP(c_COMBC(_u12513, _u12514, tc_HOL_Obool), _u12515)))) )).
% 12.21/12.46 cnf(matrix-5802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12516, _u12517)), hAPP(hAPP(c_Product__Type_OPair(_u12516, _u12517), _u12518), _u12519)), _u12520)) | hBOOL(hAPP(hAPP(c_member(_u12517), _u12519), hAPP(c_Relation_ORange(_u12516, _u12517), _u12520))) )).
% 12.21/12.46 cnf(matrix-5803, plain, ( ( hAPP(c_Relation_ORange(_u12521, _u12521), c_Relation_OId__on(_u12521, _u12522)) = _u12522) )).
% 12.21/12.46 cnf(matrix-5804, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12523, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12523, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12524, _u12523), _u12525)), hAPP(c_Relation_ORange(_u12524, _u12523), _u12526))), hAPP(c_Relation_ORange(_u12524, _u12523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12524, _u12523), tc_HOL_Obool)), _u12525), _u12526)))) )).
% 12.21/12.46 cnf(matrix-5805, plain, ( ( hAPP(c_Relation_ORange(_u12530, _u12532), _u12534) != c_Orderings_Obot__class_Obot(tc_fun(_u12532, tc_HOL_Obool))) | ( _u12534 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12530, _u12532), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5806, plain, ( ( _u12535 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12531, _u12533), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12531, _u12533), _u12535) = c_Orderings_Obot__class_Obot(tc_fun(_u12533, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5807, plain, ( ( hAPP(c_Relation_ORange(_u12536, _u12537), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12536, _u12537), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12537, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5808, plain, ( ( hAPP(c_Relation_ORange(_u12538, _u12539), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12538, _u12539), tc_HOL_Obool)), _u12540), _u12541)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12539, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12538, _u12539), _u12540)), hAPP(c_Relation_ORange(_u12538, _u12539), _u12541))) )).
% 12.21/12.46 cnf(matrix-5809, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12542, _u12543)), _u12544)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12543), hAPP(c_Relation_ORange(_u12542, _u12543), _u12544))) )).
% 12.21/12.46 cnf(matrix-5810, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12545, _u12546), _u12546, c_Product__Type_Osnd(_u12545, _u12546)), _u12547) = hAPP(c_Relation_ORange(_u12545, _u12546), _u12547)) )).
% 12.21/12.46 cnf(matrix-5811, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12554), _u12556), hAPP(c_Relation_ORange(_u12558, _u12554), _u12560))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12558, _u12554)), hAPP(hAPP(c_Product__Type_OPair(_u12558, _u12554), skolem277(_u12560, _u12558, _u12556, _u12554)), _u12556)), _u12560)) )).
% 12.21/12.46 cnf(matrix-5812, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12559, _u12555)), hAPP(hAPP(c_Product__Type_OPair(_u12559, _u12555), _u12549), _u12557)), _u12561)) | hBOOL(hAPP(hAPP(c_member(_u12555), _u12557), hAPP(c_Relation_ORange(_u12559, _u12555), _u12561))) )).
% 12.21/12.46 cnf(matrix-5813, plain, ( ( hAPP(c_Relation_ORange(_u12562, _u12563), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12562, _u12563)), hAPP(hAPP(c_Product__Type_OPair(_u12562, _u12563), _u12564), _u12565)), _u12566)) = hAPP(hAPP(c_Set_Oinsert(_u12563), _u12565), hAPP(c_Relation_ORange(_u12562, _u12563), _u12566))) )).
% 12.21/12.46 cnf(matrix-5814, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12567, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12568, _u12567), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12568, _u12567), tc_HOL_Obool)), _u12569), _u12570))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12567, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12568, _u12567), _u12569)), hAPP(c_Relation_ORange(_u12568, _u12567), _u12570)))) )).
% 12.21/12.46 cnf(matrix-5815, plain, ( ( c_Nitpick_Oone__frac(_u12571) = c_Nitpick_OAbs__Frac(_u12571, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-5816, plain, ( ( c_Nitpick_Onumber__of__frac(_u12572, _u12573) = c_Nitpick_OAbs__Frac(_u12572, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12573), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.46 cnf(matrix-5817, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12578, _u12580, hAPP(hAPP(c_COMBC(_u12578, tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_fun(_u12580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12580, tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_fun(_u12580, tc_HOL_Obool)), _u12578), c_COMBC(_u12580, tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12580, tc_prod(_u12578, _u12580)), tc_fun(_u12580, tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool)), _u12578), hAPP(c_COMBB(tc_prod(_u12578, _u12580), tc_fun(tc_fun(tc_prod(_u12578, _u12580), tc_HOL_Obool), tc_HOL_Obool), _u12580), c_member(tc_prod(_u12578, _u12580)))), c_Product__Type_OPair(_u12578, _u12580)))), _u12582)), _u12584)) | hBOOL(hAPP(hAPP(c_member(_u12580), _u12584), hAPP(c_Relation_ORange(_u12578, _u12580), _u12582))) )).
% 12.21/12.46 cnf(matrix-5818, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12581), _u12585), hAPP(c_Relation_ORange(_u12579, _u12581), _u12583))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12579, _u12581, hAPP(hAPP(c_COMBC(_u12579, tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_fun(_u12581, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12581, tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_fun(_u12581, tc_HOL_Obool)), _u12579), c_COMBC(_u12581, tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12581, tc_prod(_u12579, _u12581)), tc_fun(_u12581, tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool)), _u12579), hAPP(c_COMBB(tc_prod(_u12579, _u12581), tc_fun(tc_fun(tc_prod(_u12579, _u12581), tc_HOL_Obool), tc_HOL_Obool), _u12581), c_member(tc_prod(_u12579, _u12581)))), c_Product__Type_OPair(_u12579, _u12581)))), _u12583)), _u12585)) )).
% 12.21/12.46 cnf(matrix-5819, plain, ( ~hBOOL(hAPP(hAPP(_u12586, _u12587), _u12588)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12589, _u12590, _u12586), _u12588)) )).
% 12.21/12.46 cnf(matrix-5820, plain, ( hBOOL(hAPP(hAPP(_u12601, skolem278(_u12603, _u12601)), _u12603)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12597, _u12599, _u12601), _u12603)) )).
% 12.21/12.46 cnf(matrix-5821, plain, ( ~hBOOL(hAPP(hAPP(_u12602, _u12592), _u12604)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12598, _u12600, _u12602), _u12604)) )).
% 12.21/12.46 cnf(matrix-5822, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12605), _u12606), _u12607) = c_Nitpick_OAbs__Frac(_u12605, c_Nitpick_Onorm__frac(_u12606, _u12607))) )).
% 12.21/12.46 cnf(matrix-5823, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12609), _u12610), hAPP(c_Relation_ORange(_u12611, _u12609), _u12612))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12611, _u12609)), hAPP(hAPP(c_Product__Type_OPair(_u12611, _u12609), skolem279(_u12612, _u12611, _u12610, _u12609)), _u12610)), _u12612)) )).
% 12.21/12.46 cnf(matrix-5824, plain, ( ~c_Wellfounded_Owf(_u12613, _u12614) | ~c_Wellfounded_Owf(_u12613, _u12615) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12613, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12613, _u12613), _u12614)), hAPP(c_Relation_ORange(_u12613, _u12613), _u12615)) != c_Orderings_Obot__class_Obot(tc_fun(_u12613, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12613, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12613, _u12613), tc_HOL_Obool)), _u12614), _u12615)) )).
% 12.21/12.46 cnf(matrix-5825, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12616, _u12617)), hAPP(hAPP(c_Product__Type_OPair(_u12616, _u12617), _u12618), _u12619)), _u12620)) | hBOOL(hAPP(hAPP(c_member(_u12616), _u12618), hAPP(c_Relation_ODomain(_u12616, _u12617), _u12620))) )).
% 12.21/12.46 cnf(matrix-5826, plain, ( ( hAPP(c_Relation_ODomain(_u12621, _u12621), c_Relation_OId__on(_u12621, _u12622)) = _u12622) )).
% 12.21/12.46 cnf(matrix-5827, plain, ( ( hAPP(c_Relation_ODomain(_u12626, _u12628), _u12630) != c_Orderings_Obot__class_Obot(tc_fun(_u12626, tc_HOL_Obool))) | ( _u12630 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12626, _u12628), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5828, plain, ( ( _u12631 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12627, _u12629), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12627, _u12629), _u12631) = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5829, plain, ( ( hAPP(c_Relation_ODomain(_u12632, _u12633), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12632, _u12633), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12632, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12634, _u12635), tc_HOL_Obool)), _u12636), _u12637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12634, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12634, _u12635), _u12636)), hAPP(c_Relation_ODomain(_u12634, _u12635), _u12637))) )).
% 12.21/12.46 cnf(matrix-5831, plain, ( ( hAPP(c_Relation_ODomain(_u12638, _u12639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12638, _u12639), tc_HOL_Obool)), _u12640), _u12641)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12638, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12638, _u12639), _u12640)), hAPP(c_Relation_ODomain(_u12638, _u12639), _u12641))) )).
% 12.21/12.46 cnf(matrix-5832, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12642, _u12643)), _u12644)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12642), hAPP(c_Relation_ODomain(_u12642, _u12643), _u12644))) )).
% 12.21/12.46 cnf(matrix-5833, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12645, _u12646), _u12645, c_Product__Type_Ofst(_u12645, _u12646)), _u12647) = hAPP(c_Relation_ODomain(_u12645, _u12646), _u12647)) )).
% 12.21/12.46 cnf(matrix-5834, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12654), _u12656), hAPP(c_Relation_ODomain(_u12654, _u12658), _u12660))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12654, _u12658)), hAPP(hAPP(c_Product__Type_OPair(_u12654, _u12658), _u12656), skolem280(_u12660, _u12658, _u12656, _u12654))), _u12660)) )).
% 12.21/12.46 cnf(matrix-5835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12655, _u12659)), hAPP(hAPP(c_Product__Type_OPair(_u12655, _u12659), _u12657), _u12649)), _u12661)) | hBOOL(hAPP(hAPP(c_member(_u12655), _u12657), hAPP(c_Relation_ODomain(_u12655, _u12659), _u12661))) )).
% 12.21/12.46 cnf(matrix-5836, plain, ( ( hAPP(c_Relation_ODomain(_u12662, _u12663), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12662, _u12663)), hAPP(hAPP(c_Product__Type_OPair(_u12662, _u12663), _u12664), _u12665)), _u12666)) = hAPP(hAPP(c_Set_Oinsert(_u12662), _u12664), hAPP(c_Relation_ODomain(_u12662, _u12663), _u12666))) )).
% 12.21/12.46 cnf(matrix-5837, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12667, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12667, _u12668), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12667, _u12668), tc_HOL_Obool)), _u12669), _u12670))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12667, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12667, _u12668), _u12669)), hAPP(c_Relation_ODomain(_u12667, _u12668), _u12670)))) )).
% 12.21/12.46 cnf(matrix-5838, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12671, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12671, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12671, _u12672), _u12673)), hAPP(c_Relation_ODomain(_u12671, _u12672), _u12674))), hAPP(c_Relation_ODomain(_u12671, _u12672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12671, _u12672), tc_HOL_Obool)), _u12673), _u12674)))) )).
% 12.21/12.46 cnf(matrix-5839, plain, ( ( hAPP(c_Relation_OField(_u12675), _u12676) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12675, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12675, _u12675), _u12676)), hAPP(c_Relation_ORange(_u12675, _u12675), _u12676))) )).
% 12.21/12.46 cnf(matrix-5840, plain, ( ( hAPP(c_Relation_ODomain(_u12677, _u12678), hAPP(c_Set_OCollect(tc_prod(_u12677, _u12678)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12677, _u12678, tc_HOL_Obool), _u12679))) = hAPP(c_Set_OCollect(_u12677), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_HOL_Obool), tc_HOL_Obool, _u12677), c_HOL_OEx(_u12678)), _u12679))) )).
% 12.21/12.46 cnf(matrix-5841, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12684, _u12686, hAPP(hAPP(c_COMBC(_u12684, tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_fun(_u12686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12686, tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_fun(_u12686, tc_HOL_Obool)), _u12684), c_COMBC(_u12686, tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12686, tc_prod(_u12684, _u12686)), tc_fun(_u12686, tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool)), _u12684), hAPP(c_COMBB(tc_prod(_u12684, _u12686), tc_fun(tc_fun(tc_prod(_u12684, _u12686), tc_HOL_Obool), tc_HOL_Obool), _u12686), c_member(tc_prod(_u12684, _u12686)))), c_Product__Type_OPair(_u12684, _u12686)))), _u12688)), _u12690)) | hBOOL(hAPP(hAPP(c_member(_u12684), _u12690), hAPP(c_Relation_ODomain(_u12684, _u12686), _u12688))) )).
% 12.21/12.46 cnf(matrix-5842, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12685), _u12691), hAPP(c_Relation_ODomain(_u12685, _u12687), _u12689))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12685, _u12687, hAPP(hAPP(c_COMBC(_u12685, tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool)), _u12685), c_COMBC(_u12687, tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_prod(_u12685, _u12687)), tc_fun(_u12687, tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool)), _u12685), hAPP(c_COMBB(tc_prod(_u12685, _u12687), tc_fun(tc_fun(tc_prod(_u12685, _u12687), tc_HOL_Obool), tc_HOL_Obool), _u12687), c_member(tc_prod(_u12685, _u12687)))), c_Product__Type_OPair(_u12685, _u12687)))), _u12689)), _u12691)) )).
% 12.21/12.46 cnf(matrix-5843, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12693), _u12694), hAPP(c_Relation_ODomain(_u12693, _u12695), _u12696))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12693, _u12695)), hAPP(hAPP(c_Product__Type_OPair(_u12693, _u12695), _u12694), skolem281(_u12696, _u12695, _u12694, _u12693))), _u12696)) )).
% 12.21/12.46 cnf(matrix-5844, plain, ( ( hAPP(c_Set_Oimage(_u12697, tc_prod(_u12698, _u12699), hAPP(hAPP(c_COMBS(_u12697, _u12699, tc_prod(_u12698, _u12699)), hAPP(hAPP(c_COMBB(_u12698, tc_fun(_u12699, tc_prod(_u12698, _u12699)), _u12697), c_Product__Type_OPair(_u12698, _u12699)), _u12700)), _u12701)), _u12702) = hAPP(hAPP(c_Product__Type_OSigma(_u12698, _u12699), hAPP(c_Set_Oimage(_u12697, _u12698, _u12700), _u12702)), hAPP(hAPP(c_COMBB(tc_fun(_u12697, tc_HOL_Obool), tc_fun(_u12699, tc_HOL_Obool), _u12698), c_Set_Oimage(_u12697, _u12699, _u12701)), hAPP(hAPP(c_COMBC(_u12698, tc_fun(_u12697, tc_HOL_Obool), tc_fun(_u12697, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12697, tc_HOL_Obool), tc_fun(tc_fun(_u12697, tc_HOL_Obool), tc_fun(_u12697, tc_HOL_Obool)), _u12698), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12697, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12698, tc_HOL_Obool), tc_fun(_u12697, tc_HOL_Obool), _u12698), c_Set_Ovimage(_u12697, _u12698, _u12700)), hAPP(hAPP(c_COMBC(_u12698, tc_fun(_u12698, tc_HOL_Obool), tc_fun(_u12698, tc_HOL_Obool)), c_Set_Oinsert(_u12698)), c_Orderings_Obot__class_Obot(tc_fun(_u12698, tc_HOL_Obool)))))), _u12702)))) )).
% 12.21/12.46 cnf(matrix-5845, plain, ( ~hBOOL(hAPP(hAPP(_u12703, _u12704), _u12705)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12706, _u12707, _u12703), _u12704)) )).
% 12.21/12.46 cnf(matrix-5846, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12708), _u12709), _u12710)) | ~hBOOL(hAPP(hAPP(c_member(_u12711), _u12712), hAPP(_u12713, _u12709))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12708, _u12711)), hAPP(hAPP(c_Product__Type_OPair(_u12708, _u12711), _u12709), _u12712)), hAPP(hAPP(c_Product__Type_OSigma(_u12708, _u12711), _u12710), _u12713))) )).
% 12.21/12.46 cnf(matrix-5847, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12714, _u12715), c_Orderings_Obot__class_Obot(tc_fun(_u12714, tc_HOL_Obool))), _u12716) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12714, _u12715), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5848, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12717), _u12718), _u12719)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12721), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719)) != hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12722), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719))) | ( _u12721 = _u12722) )).
% 12.21/12.46 cnf(matrix-5849, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12717), _u12718), _u12719)) | ( _u12721 != _u12722) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12721), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719)) = hAPP(hAPP(c_Product__Type_OSigma(_u12720, _u12717), _u12722), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12720), _u12719))) )).
% 12.21/12.46 cnf(matrix-5850, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12723, _u12724)), hAPP(hAPP(c_Product__Type_OSigma(_u12723, _u12724), _u12725), hAPP(c_COMBK(tc_fun(_u12724, tc_HOL_Obool), _u12723), _u12726))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12723), _u12725)), hAPP(c_Finite__Set_Ocard(_u12724), _u12726))) )).
% 12.21/12.46 cnf(matrix-5851, plain, ( ~class_Groups_Ocomm__monoid__add(_u12727) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12728, _u12727), hAPP(hAPP(c_COMBC(_u12728, tc_fun(_u12729, tc_HOL_Obool), _u12727), hAPP(hAPP(c_COMBB(tc_fun(_u12729, _u12727), tc_fun(tc_fun(_u12729, tc_HOL_Obool), _u12727), _u12728), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12729, _u12727)), _u12730)), _u12731)), _u12732) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12728, _u12729), _u12727), hAPP(c_Product__Type_Oprod_Oprod__case(_u12728, _u12729, _u12727), _u12730)), hAPP(hAPP(c_Product__Type_OSigma(_u12728, _u12729), _u12732), hAPP(c_COMBK(tc_fun(_u12729, tc_HOL_Obool), _u12728), _u12731)))) )).
% 12.21/12.46 cnf(matrix-5852, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12733, _u12734), _u12735), hAPP(c_COMBK(tc_fun(_u12734, tc_HOL_Obool), _u12733), c_Orderings_Obot__class_Obot(tc_fun(_u12734, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12733, _u12734), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5853, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12740, _u12742), _u12744), hAPP(c_COMBK(tc_fun(_u12742, tc_HOL_Obool), _u12740), _u12746)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12740, _u12742), tc_HOL_Obool))) | ( _u12744 = c_Orderings_Obot__class_Obot(tc_fun(_u12740, tc_HOL_Obool))) | ( _u12746 = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5854, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12741, _u12743), _u12745), hAPP(c_COMBK(tc_fun(_u12743, tc_HOL_Obool), _u12741), _u12747)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12741, _u12743), tc_HOL_Obool))) | ( _u12745 != c_Orderings_Obot__class_Obot(tc_fun(_u12741, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5855, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12741, _u12743), _u12745), hAPP(c_COMBK(tc_fun(_u12743, tc_HOL_Obool), _u12741), _u12747)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12741, _u12743), tc_HOL_Obool))) | ( _u12747 != c_Orderings_Obot__class_Obot(tc_fun(_u12743, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5856, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12748, _u12749), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12748, _u12749), c_Orderings_Otop__class_Otop(tc_fun(_u12748, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12749, tc_HOL_Obool), _u12748), _u12750))) = hAPP(hAPP(c_Product__Type_OSigma(_u12748, _u12749), c_Orderings_Otop__class_Otop(tc_fun(_u12748, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12749, tc_HOL_Obool), _u12748), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12749, tc_HOL_Obool)), _u12750)))) )).
% 12.21/12.46 cnf(matrix-5857, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12751, _u12752), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12751, _u12752), _u12753), hAPP(c_COMBK(tc_fun(_u12752, tc_HOL_Obool), _u12751), c_Orderings_Otop__class_Otop(tc_fun(_u12752, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12751, _u12752), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12751, tc_HOL_Obool)), _u12753)), hAPP(c_COMBK(tc_fun(_u12752, tc_HOL_Obool), _u12751), c_Orderings_Otop__class_Otop(tc_fun(_u12752, tc_HOL_Obool))))) )).
% 12.21/12.46 cnf(matrix-5858, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12754) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12755, _u12754), hAPP(hAPP(c_COMBC(_u12755, tc_fun(_u12756, tc_HOL_Obool), _u12754), hAPP(hAPP(c_COMBB(tc_fun(_u12756, _u12754), tc_fun(tc_fun(_u12756, tc_HOL_Obool), _u12754), _u12755), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12756, _u12754)), _u12757)), _u12758)), _u12759) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12755, _u12756), _u12754), hAPP(c_Product__Type_Oprod_Oprod__case(_u12755, _u12756, _u12754), _u12757)), hAPP(hAPP(c_Product__Type_OSigma(_u12755, _u12756), _u12759), hAPP(c_COMBK(tc_fun(_u12756, tc_HOL_Obool), _u12755), _u12758)))) )).
% 12.21/12.46 cnf(matrix-5859, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12760, _u12761), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12760, tc_HOL_Obool)), _u12762), _u12763)), _u12764) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12760, _u12761), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12760, _u12761), _u12762), _u12764)), hAPP(hAPP(c_Product__Type_OSigma(_u12760, _u12761), _u12763), _u12764))) )).
% 12.21/12.46 cnf(matrix-5860, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12765, _u12766), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12765, tc_HOL_Obool)), _u12767), _u12768)), hAPP(c_COMBK(tc_fun(_u12766, tc_HOL_Obool), _u12765), _u12769)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12765, _u12766), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12765, _u12766), _u12767), hAPP(c_COMBK(tc_fun(_u12766, tc_HOL_Obool), _u12765), _u12769))), hAPP(hAPP(c_Product__Type_OSigma(_u12765, _u12766), _u12768), hAPP(c_COMBK(tc_fun(_u12766, tc_HOL_Obool), _u12765), _u12769)))) )).
% 12.21/12.46 cnf(matrix-5861, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12770, _u12771), _u12772), hAPP(hAPP(c_COMBS(_u12770, tc_fun(_u12771, tc_HOL_Obool), tc_fun(_u12771, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12771, tc_HOL_Obool), tc_fun(tc_fun(_u12771, tc_HOL_Obool), tc_fun(_u12771, tc_HOL_Obool)), _u12770), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12771, tc_HOL_Obool))), _u12773)), _u12774)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12770, _u12771), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12770, _u12771), _u12772), _u12773)), hAPP(hAPP(c_Product__Type_OSigma(_u12770, _u12771), _u12772), _u12774))) )).
% 12.21/12.46 cnf(matrix-5862, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12775, _u12776), tc_HOL_Obool)), _u12777), hAPP(hAPP(c_Product__Type_OSigma(_u12775, _u12776), _u12778), hAPP(c_COMBK(tc_fun(_u12776, tc_HOL_Obool), _u12775), _u12779)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12776, _u12780), tc_HOL_Obool)), _u12781), hAPP(hAPP(c_Product__Type_OSigma(_u12776, _u12780), _u12779), hAPP(c_COMBK(tc_fun(_u12780, tc_HOL_Obool), _u12776), _u12782)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12775, _u12780), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12775, _u12776, _u12780), _u12777), _u12781)), hAPP(hAPP(c_Product__Type_OSigma(_u12775, _u12780), _u12778), hAPP(c_COMBK(tc_fun(_u12780, tc_HOL_Obool), _u12775), _u12782)))) )).
% 12.21/12.46 cnf(matrix-5863, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12783, _u12784), tc_prod(_u12784, _u12783), hAPP(c_Product__Type_Oprod_Oprod__case(_u12783, _u12784, tc_prod(_u12784, _u12783)), hAPP(c_COMBC(_u12784, _u12783, tc_prod(_u12784, _u12783)), c_Product__Type_OPair(_u12784, _u12783)))), hAPP(hAPP(c_Product__Type_OSigma(_u12783, _u12784), _u12785), hAPP(c_COMBK(tc_fun(_u12784, tc_HOL_Obool), _u12783), _u12786))) = hAPP(hAPP(c_Product__Type_OSigma(_u12784, _u12783), _u12786), hAPP(c_COMBK(tc_fun(_u12783, tc_HOL_Obool), _u12784), _u12785))) )).
% 12.21/12.46 cnf(matrix-5864, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12787), _u12788)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12789), _u12790)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12787, _u12789)), hAPP(hAPP(c_Product__Type_OSigma(_u12787, _u12789), _u12788), hAPP(c_COMBK(tc_fun(_u12789, tc_HOL_Obool), _u12787), _u12790)))) )).
% 12.21/12.46 cnf(matrix-5865, plain, ( ~c_Equiv__Relations_Oequiv(_u12791, _u12792, _u12793) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12791, _u12791), tc_HOL_Obool)), _u12793), hAPP(hAPP(c_Product__Type_OSigma(_u12791, _u12791), _u12792), hAPP(c_COMBK(tc_fun(_u12791, tc_HOL_Obool), _u12791), _u12792)))) )).
% 12.21/12.46 cnf(matrix-5866, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12794, _u12795), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12794, tc_HOL_Obool)), _u12796), _u12797)), _u12798) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12794, _u12795), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12794, _u12795), _u12796), _u12798)), hAPP(hAPP(c_Product__Type_OSigma(_u12794, _u12795), _u12797), _u12798))) )).
% 12.21/12.46 cnf(matrix-5867, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12799, _u12800), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12799, tc_HOL_Obool)), _u12801), _u12802)), hAPP(c_COMBK(tc_fun(_u12800, tc_HOL_Obool), _u12799), _u12803)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12799, _u12800), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12799, _u12800), _u12801), hAPP(c_COMBK(tc_fun(_u12800, tc_HOL_Obool), _u12799), _u12803))), hAPP(hAPP(c_Product__Type_OSigma(_u12799, _u12800), _u12802), hAPP(c_COMBK(tc_fun(_u12800, tc_HOL_Obool), _u12799), _u12803)))) )).
% 12.21/12.46 cnf(matrix-5868, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12804, _u12805), _u12806), hAPP(hAPP(c_COMBS(_u12804, tc_fun(_u12805, tc_HOL_Obool), tc_fun(_u12805, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12805, tc_HOL_Obool), tc_fun(tc_fun(_u12805, tc_HOL_Obool), tc_fun(_u12805, tc_HOL_Obool)), _u12804), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12805, tc_HOL_Obool))), _u12807)), _u12808)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12804, _u12805), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12804, _u12805), _u12806), _u12807)), hAPP(hAPP(c_Product__Type_OSigma(_u12804, _u12805), _u12806), _u12808))) )).
% 12.21/12.46 cnf(matrix-5869, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12809, _u12809), tc_HOL_Obool)), c_Relation_OId__on(_u12809, _u12810)), hAPP(hAPP(c_Product__Type_OSigma(_u12809, _u12809), _u12810), hAPP(c_COMBK(tc_fun(_u12809, tc_HOL_Obool), _u12809), _u12810)))) )).
% 12.21/12.46 cnf(matrix-5870, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12811, _u12812), _u12813), hAPP(hAPP(c_COMBS(_u12811, tc_fun(_u12812, tc_HOL_Obool), tc_fun(_u12812, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12812, tc_HOL_Obool), tc_fun(tc_fun(_u12812, tc_HOL_Obool), tc_fun(_u12812, tc_HOL_Obool)), _u12811), c_Groups_Ominus__class_Ominus(tc_fun(_u12812, tc_HOL_Obool))), _u12814)), _u12815)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12811, _u12812), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12811, _u12812), _u12813), _u12814)), hAPP(hAPP(c_Product__Type_OSigma(_u12811, _u12812), _u12813), _u12815))) )).
% 12.21/12.46 cnf(matrix-5871, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12816, _u12817), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12816, tc_HOL_Obool)), _u12818), _u12819)), hAPP(c_COMBK(tc_fun(_u12817, tc_HOL_Obool), _u12816), _u12820)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12816, _u12817), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12816, _u12817), _u12818), hAPP(c_COMBK(tc_fun(_u12817, tc_HOL_Obool), _u12816), _u12820))), hAPP(hAPP(c_Product__Type_OSigma(_u12816, _u12817), _u12819), hAPP(c_COMBK(tc_fun(_u12817, tc_HOL_Obool), _u12816), _u12820)))) )).
% 12.21/12.46 cnf(matrix-5872, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12821, _u12822), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12821, tc_HOL_Obool)), _u12823), _u12824)), _u12825) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12821, _u12822), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12821, _u12822), _u12823), _u12825)), hAPP(hAPP(c_Product__Type_OSigma(_u12821, _u12822), _u12824), _u12825))) )).
% 12.21/12.46 cnf(matrix-5873, plain, ( hBOOL(hAPP(hAPP(_u12836, _u12838), skolem282(_u12838, _u12836))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u12832, _u12834, _u12836), _u12838)) )).
% 12.21/12.46 cnf(matrix-5874, plain, ( ~hBOOL(hAPP(hAPP(_u12837, _u12839), _u12827)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12833, _u12835, _u12837), _u12839)) )).
% 12.21/12.46 cnf(matrix-5875, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12840, _u12841), c_Orderings_Otop__class_Otop(tc_fun(_u12840, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12841, tc_HOL_Obool), _u12840), c_Orderings_Otop__class_Otop(tc_fun(_u12841, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12840, _u12841), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5876, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12842, _u12843)), hAPP(hAPP(c_Product__Type_OPair(_u12842, _u12843), _u12844), _u12845)), hAPP(hAPP(c_Product__Type_OSigma(_u12842, _u12843), _u12846), _u12847))) | hBOOL(hAPP(hAPP(c_member(_u12842), _u12844), _u12846)) )).
% 12.21/12.46 cnf(matrix-5877, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12842, _u12843)), hAPP(hAPP(c_Product__Type_OPair(_u12842, _u12843), _u12844), _u12845)), hAPP(hAPP(c_Product__Type_OSigma(_u12842, _u12843), _u12846), _u12847))) | hBOOL(hAPP(hAPP(c_member(_u12843), _u12845), hAPP(_u12847, _u12844))) )).
% 12.21/12.46 cnf(matrix-5878, plain, ( hBOOL(hAPP(hAPP(c_member(_u12849), _u12851), hAPP(_u12853, _u12850))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12848, _u12849)), hAPP(hAPP(c_Product__Type_OPair(_u12848, _u12849), _u12850), _u12851)), hAPP(hAPP(c_Product__Type_OSigma(_u12848, _u12849), _u12852), _u12853))) )).
% 12.21/12.46 cnf(matrix-5879, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12854, _u12855)), hAPP(hAPP(c_Product__Type_OPair(_u12854, _u12855), _u12856), _u12857)), hAPP(hAPP(c_Product__Type_OSigma(_u12854, _u12855), _u12858), _u12859))) | hBOOL(hAPP(hAPP(c_member(_u12854), _u12856), _u12858)) )).
% 12.21/12.46 cnf(matrix-5880, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12866, _u12868)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12868), _u12870), _u12872)), hAPP(hAPP(c_Product__Type_OSigma(_u12866, _u12868), _u12874), _u12876))) | hBOOL(hAPP(hAPP(c_member(_u12866), _u12870), _u12874)) )).
% 12.21/12.46 cnf(matrix-5881, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12866, _u12868)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12868), _u12870), _u12872)), hAPP(hAPP(c_Product__Type_OSigma(_u12866, _u12868), _u12874), _u12876))) | hBOOL(hAPP(hAPP(c_member(_u12868), _u12872), hAPP(_u12876, _u12870))) )).
% 12.21/12.46 cnf(matrix-5882, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12867), _u12871), _u12875)) | ~hBOOL(hAPP(hAPP(c_member(_u12869), _u12873), hAPP(_u12877, _u12871))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12867, _u12869)), hAPP(hAPP(c_Product__Type_OPair(_u12867, _u12869), _u12871), _u12873)), hAPP(hAPP(c_Product__Type_OSigma(_u12867, _u12869), _u12875), _u12877))) )).
% 12.21/12.46 cnf(matrix-5883, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12878, _u12879)), hAPP(hAPP(c_Product__Type_OSigma(_u12878, _u12879), hAPP(hAPP(c_Set_Oinsert(_u12878), _u12880), c_Orderings_Obot__class_Obot(tc_fun(_u12878, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12879, tc_HOL_Obool), _u12878), _u12881))) = hAPP(c_Finite__Set_Ocard(_u12879), _u12881)) )).
% 12.21/12.46 cnf(matrix-5884, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12883), _u12884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12885, _u12882), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12886), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884))), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12887), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12885, tc_HOL_Obool)), _u12886), _u12887)) )).
% 12.21/12.46 cnf(matrix-5885, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12883), _u12884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12885, tc_HOL_Obool)), _u12886), _u12887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12885, _u12882), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12886), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884))), hAPP(hAPP(c_Product__Type_OSigma(_u12885, _u12882), _u12887), hAPP(c_COMBK(tc_fun(_u12882, tc_HOL_Obool), _u12885), _u12884)))) )).
% 12.21/12.46 cnf(matrix-5886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12888, _u12889), tc_HOL_Obool)), _u12890), hAPP(hAPP(c_Product__Type_OSigma(_u12888, _u12889), _u12891), hAPP(c_COMBK(tc_fun(_u12889, tc_HOL_Obool), _u12888), _u12892)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12889, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12888, _u12889, _u12890), _u12893)), _u12892)) )).
% 12.21/12.46 cnf(matrix-5887, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12894, _u12895)), hAPP(hAPP(c_Product__Type_OSigma(_u12894, _u12895), _u12896), hAPP(c_COMBK(tc_fun(_u12895, tc_HOL_Obool), _u12894), _u12897)))) | ( _u12897 = c_Orderings_Obot__class_Obot(tc_fun(_u12895, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12894), _u12896)) )).
% 12.21/12.46 cnf(matrix-5888, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12898, _u12899)), hAPP(hAPP(c_Product__Type_OSigma(_u12898, _u12899), _u12900), hAPP(c_COMBK(tc_fun(_u12899, tc_HOL_Obool), _u12898), _u12901)))) | ( _u12900 = c_Orderings_Obot__class_Obot(tc_fun(_u12898, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12899), _u12901)) )).
% 12.21/12.46 cnf(matrix-5889, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12902, _u12903)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12902, _u12903, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12902, tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool)), _u12902), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12903)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12902), c_fconj), _u12904))), _u12905))) = hAPP(hAPP(c_Product__Type_OSigma(_u12902, _u12903), hAPP(c_Set_OCollect(_u12902), _u12904)), hAPP(hAPP(c_COMBB(tc_fun(_u12903, tc_HOL_Obool), tc_fun(_u12903, tc_HOL_Obool), _u12902), c_Set_OCollect(_u12903)), _u12905))) )).
% 12.21/12.46 cnf(matrix-5890, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12906, _u12907)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12906, _u12907, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12907, tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12907, tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), _u12906), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12907)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12906), c_fconj), _u12908))), _u12909))) = hAPP(hAPP(c_Product__Type_OSigma(_u12906, _u12907), hAPP(c_Set_OCollect(_u12906), _u12908)), hAPP(c_COMBK(tc_fun(_u12907, tc_HOL_Obool), _u12906), hAPP(c_Set_OCollect(_u12907), _u12909)))) )).
% 12.21/12.46 cnf(matrix-5891, plain, ( ( _u12914 != c_Orderings_Obot__class_Obot(tc_fun(_u12916, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12918, _u12916), _u12918, c_Product__Type_Ofst(_u12918, _u12916)), hAPP(hAPP(c_Product__Type_OSigma(_u12918, _u12916), _u12920), hAPP(c_COMBK(tc_fun(_u12916, tc_HOL_Obool), _u12918), _u12914))) = c_Orderings_Obot__class_Obot(tc_fun(_u12918, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5892, plain, ( ( _u12915 = c_Orderings_Obot__class_Obot(tc_fun(_u12917, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12919, _u12917), _u12919, c_Product__Type_Ofst(_u12919, _u12917)), hAPP(hAPP(c_Product__Type_OSigma(_u12919, _u12917), _u12921), hAPP(c_COMBK(tc_fun(_u12917, tc_HOL_Obool), _u12919), _u12915))) = _u12921) )).
% 12.21/12.46 cnf(matrix-5893, plain, ( ( _u12926 != c_Orderings_Obot__class_Obot(tc_fun(_u12928, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12928, _u12930), _u12930, c_Product__Type_Osnd(_u12928, _u12930)), hAPP(hAPP(c_Product__Type_OSigma(_u12928, _u12930), _u12926), hAPP(c_COMBK(tc_fun(_u12930, tc_HOL_Obool), _u12928), _u12932))) = c_Orderings_Obot__class_Obot(tc_fun(_u12930, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5894, plain, ( ( _u12927 = c_Orderings_Obot__class_Obot(tc_fun(_u12929, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12929, _u12931), _u12931, c_Product__Type_Osnd(_u12929, _u12931)), hAPP(hAPP(c_Product__Type_OSigma(_u12929, _u12931), _u12927), hAPP(c_COMBK(tc_fun(_u12931, tc_HOL_Obool), _u12929), _u12933))) = _u12933) )).
% 12.21/12.46 cnf(matrix-5895, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12935), hAPP(hAPP(c_Set_Oinsert(_u12934), _u12936), _u12937)), hAPP(c_COMBK(tc_fun(_u12935, tc_HOL_Obool), _u12934), hAPP(hAPP(c_Set_Oinsert(_u12935), _u12938), _u12939))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12934, _u12935)), hAPP(hAPP(c_Product__Type_OPair(_u12934, _u12935), _u12936), _u12938)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12934, _u12935), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12935), _u12937), hAPP(c_COMBK(tc_fun(_u12935, tc_HOL_Obool), _u12934), hAPP(hAPP(c_Set_Oinsert(_u12935), _u12938), _u12939)))), hAPP(hAPP(c_Product__Type_OSigma(_u12934, _u12935), hAPP(hAPP(c_Set_Oinsert(_u12934), _u12936), _u12937)), hAPP(c_COMBK(tc_fun(_u12935, tc_HOL_Obool), _u12934), _u12939))))) )).
% 12.21/12.46 cnf(matrix-5896, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12940), _u12941)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12940, _u12940), tc_HOL_Obool)), _u12942), hAPP(hAPP(c_Product__Type_OSigma(_u12940, _u12940), _u12941), hAPP(c_COMBK(tc_fun(_u12940, tc_HOL_Obool), _u12940), _u12941)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12940, tc_HOL_Obool)), _u12943), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12940), _u12941), _u12942))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12940), _u12943)) )).
% 12.21/12.46 cnf(matrix-5897, plain, ( ( hAPP(c_Set_Ovimage(_u12944, tc_prod(_u12945, _u12946), _u12947), hAPP(hAPP(c_Product__Type_OSigma(_u12945, _u12946), _u12948), hAPP(c_COMBK(tc_fun(_u12946, tc_HOL_Obool), _u12945), _u12949))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12944, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12944, _u12945, hAPP(c_Fun_Ocomp(tc_prod(_u12945, _u12946), _u12945, _u12944, c_Product__Type_Ofst(_u12945, _u12946)), _u12947)), _u12948)), hAPP(c_Set_Ovimage(_u12944, _u12946, hAPP(c_Fun_Ocomp(tc_prod(_u12945, _u12946), _u12946, _u12944, c_Product__Type_Osnd(_u12945, _u12946)), _u12947)), _u12949))) )).
% 12.21/12.46 cnf(matrix-5898, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12950, _u12951), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12950, _u12951), _u12954), hAPP(c_COMBK(tc_fun(_u12951, tc_HOL_Obool), _u12950), _u12955))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12950, _u12951, tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12950, tc_fun(_u12951, tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool))), tc_fun(_u12951, tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), tc_fun(tc_fun(_u12951, tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool))), tc_fun(_u12951, tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool))), _u12950), c_COMBB(tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool), _u12951)), hAPP(hAPP(c_COMBB(tc_fun(_u12952, tc_HOL_Obool), tc_fun(tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), tc_fun(tc_prod(_u12952, _u12953), tc_HOL_Obool)), _u12950), c_Product__Type_OSigma(_u12952, _u12953)), _u12956))), hAPP(hAPP(c_COMBB(tc_fun(_u12953, tc_HOL_Obool), tc_fun(_u12952, tc_fun(_u12953, tc_HOL_Obool)), _u12951), c_COMBK(tc_fun(_u12953, tc_HOL_Obool), _u12952)), _u12957)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12952, _u12953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12950, tc_fun(_u12952, tc_HOL_Obool)), _u12954), _u12956)), hAPP(c_COMBK(tc_fun(_u12953, tc_HOL_Obool), _u12952), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12951, tc_fun(_u12953, tc_HOL_Obool)), _u12955), _u12957)))) )).
% 12.21/12.46 cnf(matrix-5899, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12958, _u12959), _u12960), _u12961) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12958, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), _u12960), hAPP(hAPP(c_COMBS(_u12958, tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12959, tc_HOL_Obool), tc_fun(tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), _u12958), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), _u12961)), hAPP(hAPP(c_COMBC(_u12958, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12959, tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), _u12958), c_COMBC(_u12959, tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12959, tc_prod(_u12958, _u12959)), tc_fun(_u12959, tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool))), _u12958), hAPP(c_COMBB(tc_prod(_u12958, _u12959), tc_fun(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool), tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)), _u12959), c_Set_Oinsert(tc_prod(_u12958, _u12959)))), c_Product__Type_OPair(_u12958, _u12959)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12958, _u12959), tc_HOL_Obool)))))) )).
% 12.21/12.46 cnf(matrix-5900, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12962), _u12963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12962, _u12962), tc_HOL_Obool)), _u12964), hAPP(hAPP(c_Product__Type_OSigma(_u12962, _u12962), _u12963), hAPP(c_COMBK(tc_fun(_u12962, tc_HOL_Obool), _u12962), _u12963)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12962, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12962), _u12963), _u12964))) )).
% 12.21/12.46 cnf(matrix-5901, plain, ( ~class_Rings_Osemiring__0(_u12965) | ~c_Fun_Oinj__on(tc_prod(_u12966, _u12967), _u12965, hAPP(c_Product__Type_Oprod_Oprod__case(_u12966, _u12967, _u12965), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), hAPP(hAPP(c_COMBB(tc_fun(_u12965, _u12965), tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), _u12966), c_COMBB(_u12965, _u12965, _u12967)), hAPP(hAPP(c_COMBB(_u12965, tc_fun(_u12965, _u12965), _u12966), c_Groups_Otimes__class_Otimes(_u12965)), _u12968))), _u12969)), hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12967), _u12970), hAPP(c_COMBK(tc_fun(_u12967, tc_HOL_Obool), _u12966), _u12971))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12965), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12966, _u12965), _u12968), _u12970)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12967, _u12965), _u12969), _u12971)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12965, _u12965), c_Fun_Oid(_u12965)), hAPP(c_Set_OCollect(_u12965), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool, _u12965), c_HOL_OEx(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_HOL_Obool), _u12965), hAPP(c_COMBB(tc_fun(_u12967, tc_HOL_Obool), tc_HOL_Obool, _u12966), c_HOL_OEx(_u12967))), hAPP(hAPP(c_COMBC(_u12965, tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool))), tc_fun(tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), _u12965), c_COMBS(_u12966, tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12966, tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool))), _u12965), hAPP(c_COMBB(tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool)), _u12966), c_COMBS(_u12967, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool)), tc_fun(_u12966, tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12965), hAPP(c_COMBB(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12966), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12967), c_fconj))), hAPP(hAPP(c_COMBC(_u12965, tc_fun(_u12966, tc_fun(_u12967, _u12965)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, tc_HOL_Obool)), tc_fun(tc_fun(_u12966, tc_fun(_u12967, _u12965)), tc_fun(_u12966, tc_fun(_u12967, tc_HOL_Obool))), _u12965), c_COMBB(tc_fun(_u12967, _u12965), tc_fun(_u12967, tc_HOL_Obool), _u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12965, tc_HOL_Obool), tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, tc_HOL_Obool)), _u12965), c_COMBB(_u12965, tc_HOL_Obool, _u12967)), c_fequal))), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), hAPP(hAPP(c_COMBB(tc_fun(_u12965, _u12965), tc_fun(tc_fun(_u12967, _u12965), tc_fun(_u12967, _u12965)), _u12966), c_COMBB(_u12965, _u12965, _u12967)), hAPP(hAPP(c_COMBB(_u12965, tc_fun(_u12965, _u12965), _u12966), c_Groups_Otimes__class_Otimes(_u12965)), _u12968))), _u12969)))))), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12967, tc_HOL_Obool), tc_fun(_u12967, tc_HOL_Obool)), _u12966), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12967)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12966), c_fconj), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12966)), _u12970)))), hAPP(hAPP(c_COMBC(_u12967, tc_fun(_u12967, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12967)), _u12971)))))))) )).
% 12.21/12.46 cnf(matrix-5902, plain, ( c_Fun_Oinj__on(_u12973, tc_prod(_u12974, _u12973), skolem283(_u12976, _u12975, _u12974, _u12973), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12974, tc_fun(_u12973, tc_HOL_Obool)), _u12975), _u12976)) )).
% 12.21/12.46 cnf(matrix-5903, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12974, _u12973), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12973, tc_prod(_u12974, _u12973), skolem283(_u12976, _u12975, _u12974, _u12973)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12974, tc_fun(_u12973, tc_HOL_Obool)), _u12975), _u12976))), hAPP(hAPP(c_Product__Type_OSigma(_u12974, _u12973), _u12975), _u12976))) )).
% 12.21/12.46 cnf(matrix-5904, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12979), _u12980)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, _u12979, c_Groups_Otimes__class_Otimes(_u12978)), hAPP(hAPP(c_COMBS(_u12979, tc_fun(_u12981, tc_HOL_Obool), _u12978), hAPP(hAPP(c_COMBC(_u12979, _u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), hAPP(hAPP(c_COMBB(tc_fun(_u12981, _u12978), tc_fun(_u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), _u12979), c_Finite__Set_Ofold__image(_u12978, _u12981, c_Groups_Otimes__class_Otimes(_u12978))), _u12983)), c_Groups_Oone__class_Oone(_u12978))), _u12982)), c_Groups_Oone__class_Oone(_u12978)), _u12980) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, tc_prod(_u12979, _u12981), c_Groups_Otimes__class_Otimes(_u12978)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12979, _u12981, _u12978), _u12983)), c_Groups_Oone__class_Oone(_u12978)), hAPP(hAPP(c_Product__Type_OSigma(_u12979, _u12981), _u12980), _u12982))) | hBOOL(hAPP(hAPP(c_member(_u12979), skolem284(_u12983, _u12982, _u12981, _u12980, _u12979, _u12978)), _u12980)) )).
% 12.21/12.46 cnf(matrix-5905, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12979), _u12980)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, _u12979, c_Groups_Otimes__class_Otimes(_u12978)), hAPP(hAPP(c_COMBS(_u12979, tc_fun(_u12981, tc_HOL_Obool), _u12978), hAPP(hAPP(c_COMBC(_u12979, _u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), hAPP(hAPP(c_COMBB(tc_fun(_u12981, _u12978), tc_fun(_u12978, tc_fun(tc_fun(_u12981, tc_HOL_Obool), _u12978)), _u12979), c_Finite__Set_Ofold__image(_u12978, _u12981, c_Groups_Otimes__class_Otimes(_u12978))), _u12983)), c_Groups_Oone__class_Oone(_u12978))), _u12982)), c_Groups_Oone__class_Oone(_u12978)), _u12980) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12978, tc_prod(_u12979, _u12981), c_Groups_Otimes__class_Otimes(_u12978)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12979, _u12981, _u12978), _u12983)), c_Groups_Oone__class_Oone(_u12978)), hAPP(hAPP(c_Product__Type_OSigma(_u12979, _u12981), _u12980), _u12982))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12981), hAPP(_u12982, skolem284(_u12983, _u12982, _u12981, _u12980, _u12979, _u12978)))) )).
% 12.21/12.46 cnf(matrix-5906, plain, ( ( hAPP(c_Set_Oimage(_u12984, _u12984, c_Fun_Oid(_u12984)), _u12985) = _u12985) )).
% 12.21/12.46 cnf(matrix-5907, plain, ( ( c_Product__Type_Oapfst(_u12986, _u12986, _u12987, c_Fun_Oid(_u12986)) = c_Fun_Oid(tc_prod(_u12986, _u12987))) )).
% 12.21/12.46 cnf(matrix-5908, plain, ( c_Fun_Oinj__on(_u12988, _u12988, c_Fun_Oid(_u12988), _u12989) )).
% 12.21/12.46 cnf(matrix-5909, plain, ( ( hAPP(c_Set_Ovimage(_u12990, _u12990, c_Fun_Oid(_u12990)), _u12991) = _u12991) )).
% 12.21/12.46 cnf(matrix-5910, plain, ( ( hAPP(c_Fun_Oid(_u12992), _u12993) = _u12993) )).
% 12.21/12.46 cnf(matrix-5911, plain, ( ( hAPP(c_Fun_Oid(_u12994), _u12995) = _u12995) )).
% 12.21/12.46 cnf(matrix-5912, plain, ( ( hAPP(c_Fun_Ocomp(_u12996, _u12996, _u12997, c_Fun_Oid(_u12996)), _u12998) = _u12998) )).
% 12.21/12.46 cnf(matrix-5913, plain, ( ( hAPP(c_Fun_Ocomp(_u12999, _u13000, _u12999, _u13001), c_Fun_Oid(_u12999)) = _u13001) )).
% 12.21/12.46 cnf(matrix-5914, plain, ( ( hAPP(_u13005, hAPP(_u13006, _u13008)) = hAPP(_u13007, _u13008)) | ( hAPP(c_Fun_Ocomp(_u13002, _u13003, _u13004, _u13005), _u13006) != hAPP(c_Fun_Ocomp(_u13003, _u13003, _u13004, c_Fun_Oid(_u13003)), _u13007)) )).
% 12.21/12.46 cnf(matrix-5915, plain, ( ( c_Product__Type_Oapsnd(_u13009, _u13009, _u13010, c_Fun_Oid(_u13009)) = c_Fun_Oid(tc_prod(_u13010, _u13009))) )).
% 12.21/12.46 cnf(matrix-5916, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.21/12.46 cnf(matrix-5917, plain, ( ( hAPP(c_Set_Oimage(_u13011, _u13011, c_Fun_Oid(_u13011)), c_Orderings_Otop__class_Otop(tc_fun(_u13011, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13011, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5918, plain, ( ( c_Hilbert__Choice_Oinv__into(_u13012, _u13012, c_Orderings_Otop__class_Otop(tc_fun(_u13012, tc_HOL_Obool)), c_Fun_Oid(_u13012)) = c_Fun_Oid(_u13012)) )).
% 12.21/12.46 cnf(matrix-5919, plain, ( ~c_Finite__Set_Ofolding(_u13013, _u13014, _u13015, _u13016) | ( hAPP(_u13016, c_Orderings_Obot__class_Obot(tc_fun(_u13013, tc_HOL_Obool))) = c_Fun_Oid(_u13014)) )).
% 12.21/12.46 cnf(matrix-5920, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13017, _u13018, tc_prod(_u13017, _u13018)), c_Product__Type_OPair(_u13017, _u13018)) = c_Fun_Oid(tc_prod(_u13017, _u13018))) )).
% 12.21/12.46 cnf(matrix-5921, plain, ( ~class_Groups_Ocomm__monoid__add(_u13019) | ~c_Fun_Oinj__on(_u13020, _u13019, _u13021, _u13022) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13020, _u13019), _u13021), _u13022) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13019, _u13019), c_Fun_Oid(_u13019)), hAPP(c_Set_Oimage(_u13020, _u13019, _u13021), _u13022))) )).
% 12.21/12.46 cnf(matrix-5922, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13023) | ~c_Fun_Oinj__on(_u13024, _u13023, _u13025, _u13026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13024, _u13023), _u13025), _u13026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13023, _u13023), c_Fun_Oid(_u13023)), hAPP(c_Set_Oimage(_u13024, _u13023, _u13025), _u13026))) )).
% 12.21/12.46 cnf(matrix-5923, plain, ( ( hAPP(c_Set_Oimage(_u13030, _u13032, _u13034), c_Orderings_Otop__class_Otop(tc_fun(_u13030, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13032, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u13030, _u13032, _u13032, _u13034), c_Hilbert__Choice_Oinv__into(_u13030, _u13032, c_Orderings_Otop__class_Otop(tc_fun(_u13030, tc_HOL_Obool)), _u13034)) = c_Fun_Oid(_u13032)) )).
% 12.21/12.46 cnf(matrix-5924, plain, ( ( hAPP(c_Fun_Ocomp(_u13031, _u13033, _u13033, _u13035), c_Hilbert__Choice_Oinv__into(_u13031, _u13033, c_Orderings_Otop__class_Otop(tc_fun(_u13031, tc_HOL_Obool)), _u13035)) != c_Fun_Oid(_u13033)) | ( hAPP(c_Set_Oimage(_u13031, _u13033, _u13035), c_Orderings_Otop__class_Otop(tc_fun(_u13031, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13033, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5925, plain, ( ~c_Fun_Oinj__on(_u13036, _u13037, _u13038, c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u13037, _u13036, _u13036, c_Hilbert__Choice_Oinv__into(_u13036, _u13037, c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool)), _u13038)), _u13038) = c_Fun_Oid(_u13036)) )).
% 12.21/12.46 cnf(matrix-5926, plain, ( ~c_Fun_Oinj__on(_u13042, _u13044, _u13046, c_Orderings_Otop__class_Otop(tc_fun(_u13042, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u13044, _u13042, _u13042, c_Hilbert__Choice_Oinv__into(_u13042, _u13044, c_Orderings_Otop__class_Otop(tc_fun(_u13042, tc_HOL_Obool)), _u13046)), _u13046) = c_Fun_Oid(_u13042)) )).
% 12.21/12.46 cnf(matrix-5927, plain, ( ( hAPP(c_Fun_Ocomp(_u13045, _u13043, _u13043, c_Hilbert__Choice_Oinv__into(_u13043, _u13045, c_Orderings_Otop__class_Otop(tc_fun(_u13043, tc_HOL_Obool)), _u13047)), _u13047) != c_Fun_Oid(_u13043)) | c_Fun_Oinj__on(_u13043, _u13045, _u13047, c_Orderings_Otop__class_Otop(tc_fun(_u13043, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5928, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13050), _u13051)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13050, _u13049), hAPP(hAPP(c_COMBS(_u13050, tc_fun(_u13052, tc_HOL_Obool), _u13049), hAPP(hAPP(c_COMBB(tc_fun(_u13052, _u13049), tc_fun(tc_fun(_u13052, tc_HOL_Obool), _u13049), _u13050), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13052, _u13049)), _u13054)), _u13053)), _u13051) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13050, _u13052), _u13049), hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13052, _u13049), _u13054)), hAPP(hAPP(c_Product__Type_OSigma(_u13050, _u13052), _u13051), _u13053))) | hBOOL(hAPP(hAPP(c_member(_u13050), skolem285(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)), _u13051)) )).
% 12.21/12.46 cnf(matrix-5929, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13049) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13050), _u13051)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13050, _u13049), hAPP(hAPP(c_COMBS(_u13050, tc_fun(_u13052, tc_HOL_Obool), _u13049), hAPP(hAPP(c_COMBB(tc_fun(_u13052, _u13049), tc_fun(tc_fun(_u13052, tc_HOL_Obool), _u13049), _u13050), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13052, _u13049)), _u13054)), _u13053)), _u13051) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13050, _u13052), _u13049), hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13052, _u13049), _u13054)), hAPP(hAPP(c_Product__Type_OSigma(_u13050, _u13052), _u13051), _u13053))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13052), hAPP(_u13053, skolem285(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)))) )).
% 12.21/12.46 cnf(matrix-5930, plain, ( ~class_Groups_Ocomm__monoid__add(_u13056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13057), _u13058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13057, _u13056), hAPP(hAPP(c_COMBS(_u13057, tc_fun(_u13059, tc_HOL_Obool), _u13056), hAPP(hAPP(c_COMBB(tc_fun(_u13059, _u13056), tc_fun(tc_fun(_u13059, tc_HOL_Obool), _u13056), _u13057), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13059, _u13056)), _u13061)), _u13060)), _u13058) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13057, _u13059), _u13056), hAPP(c_Product__Type_Oprod_Oprod__case(_u13057, _u13059, _u13056), _u13061)), hAPP(hAPP(c_Product__Type_OSigma(_u13057, _u13059), _u13058), _u13060))) | hBOOL(hAPP(hAPP(c_member(_u13057), skolem286(_u13061, _u13060, _u13059, _u13058, _u13057, _u13056)), _u13058)) )).
% 12.21/12.46 cnf(matrix-5931, plain, ( ~class_Groups_Ocomm__monoid__add(_u13056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13057), _u13058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13057, _u13056), hAPP(hAPP(c_COMBS(_u13057, tc_fun(_u13059, tc_HOL_Obool), _u13056), hAPP(hAPP(c_COMBB(tc_fun(_u13059, _u13056), tc_fun(tc_fun(_u13059, tc_HOL_Obool), _u13056), _u13057), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13059, _u13056)), _u13061)), _u13060)), _u13058) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13057, _u13059), _u13056), hAPP(c_Product__Type_Oprod_Oprod__case(_u13057, _u13059, _u13056), _u13061)), hAPP(hAPP(c_Product__Type_OSigma(_u13057, _u13059), _u13058), _u13060))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13059), hAPP(_u13060, skolem286(_u13061, _u13060, _u13059, _u13058, _u13057, _u13056)))) )).
% 12.21/12.46 cnf(matrix-5932, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13063), _u13064)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13063, _u13065)), hAPP(hAPP(c_Product__Type_OSigma(_u13063, _u13065), _u13064), _u13066)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13063, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13065, tc_HOL_Obool), tc_Nat_Onat, _u13063), c_Finite__Set_Ocard(_u13065)), _u13066)), _u13064)) | hBOOL(hAPP(hAPP(c_member(_u13063), skolem287(_u13066, _u13065, _u13064, _u13063)), _u13064)) )).
% 12.21/12.46 cnf(matrix-5933, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13063), _u13064)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13063, _u13065)), hAPP(hAPP(c_Product__Type_OSigma(_u13063, _u13065), _u13064), _u13066)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13063, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13065, tc_HOL_Obool), tc_Nat_Onat, _u13063), c_Finite__Set_Ocard(_u13065)), _u13066)), _u13064)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13065), hAPP(_u13066, skolem287(_u13066, _u13065, _u13064, _u13063)))) )).
% 12.21/12.46 cnf(matrix-5934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13068), _u13069)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13068, _u13070)), hAPP(hAPP(c_Product__Type_OSigma(_u13068, _u13070), _u13069), _u13071))) | hBOOL(hAPP(hAPP(c_member(_u13068), skolem288(_u13071, _u13070, _u13069, _u13068)), _u13069)) )).
% 12.21/12.46 cnf(matrix-5935, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13068), _u13069)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13068, _u13070)), hAPP(hAPP(c_Product__Type_OSigma(_u13068, _u13070), _u13069), _u13071))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13070), hAPP(_u13071, skolem288(_u13071, _u13070, _u13069, _u13068)))) )).
% 12.21/12.46 cnf(matrix-5936, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13074, _u13075)), _u13076), hAPP(hAPP(c_Product__Type_OSigma(_u13074, _u13075), _u13077), _u13078))) | hBOOL(hAPP(hAPP(c_member(_u13074), skolem289(_u13078, _u13077, _u13076, _u13075, _u13074)), _u13077)) )).
% 12.21/12.46 cnf(matrix-5937, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13074, _u13075)), _u13076), hAPP(hAPP(c_Product__Type_OSigma(_u13074, _u13075), _u13077), _u13078))) | hBOOL(hAPP(hAPP(c_member(_u13075), skolem290(_u13078, _u13077, _u13076, _u13075, _u13074)), hAPP(_u13078, skolem289(_u13078, _u13077, _u13076, _u13075, _u13074)))) )).
% 12.21/12.46 cnf(matrix-5938, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13074, _u13075)), _u13076), hAPP(hAPP(c_Product__Type_OSigma(_u13074, _u13075), _u13077), _u13078))) | ( _u13076 = hAPP(hAPP(c_Product__Type_OPair(_u13074, _u13075), skolem289(_u13078, _u13077, _u13076, _u13075, _u13074)), skolem290(_u13078, _u13077, _u13076, _u13075, _u13074))) )).
% 12.21/12.46 cnf(matrix-5939, plain, ( ( hAPP(c_Set_Oimage(_u13079, _u13080, _u13081), c_Orderings_Otop__class_Otop(tc_fun(_u13079, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13080, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13082, _u13083, _u13084), c_Orderings_Otop__class_Otop(tc_fun(_u13082, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13083, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13079, _u13082), tc_prod(_u13080, _u13083), c_Product__Type_Omap__pair(_u13079, _u13080, _u13082, _u13083, _u13081, _u13084)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13079, _u13082), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13080, _u13083), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5940, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13085, _u13086)), hAPP(hAPP(c_Product__Type_OPair(_u13085, _u13086), _u13087), _u13088)), _u13089)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13090, _u13091)), hAPP(hAPP(c_Product__Type_OPair(_u13090, _u13091), hAPP(_u13092, _u13087)), hAPP(_u13093, _u13088))), hAPP(c_Set_Oimage(tc_prod(_u13085, _u13086), tc_prod(_u13090, _u13091), c_Product__Type_Omap__pair(_u13085, _u13090, _u13086, _u13091, _u13092, _u13093)), _u13089))) )).
% 12.21/12.46 cnf(matrix-5941, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13094, _u13094, _u13095, _u13095, c_COMBI(_u13094), c_COMBI(_u13095)), _u13096) = _u13096) )).
% 12.21/12.46 cnf(matrix-5942, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13097, _u13098, _u13099, _u13100, _u13101, _u13102), hAPP(hAPP(c_Product__Type_OPair(_u13097, _u13099), _u13103), _u13104)) = hAPP(hAPP(c_Product__Type_OPair(_u13098, _u13100), hAPP(_u13101, _u13103)), hAPP(_u13102, _u13104))) )).
% 12.21/12.46 cnf(matrix-5943, plain, ( ( hAPP(c_Product__Type_Ofst(_u13105, _u13106), hAPP(c_Product__Type_Omap__pair(_u13107, _u13105, _u13108, _u13106, _u13109, _u13110), _u13111)) = hAPP(_u13109, hAPP(c_Product__Type_Ofst(_u13107, _u13108), _u13111))) )).
% 12.21/12.46 cnf(matrix-5944, plain, ( ( hAPP(c_Product__Type_Osnd(_u13112, _u13113), hAPP(c_Product__Type_Omap__pair(_u13114, _u13112, _u13115, _u13113, _u13116, _u13117), _u13118)) = hAPP(_u13117, hAPP(c_Product__Type_Osnd(_u13114, _u13115), _u13118))) )).
% 12.21/12.46 cnf(matrix-5945, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13119, _u13120), _u13120, tc_prod(_u13121, _u13122), c_Product__Type_Osnd(_u13119, _u13120)), c_Product__Type_Omap__pair(_u13121, _u13119, _u13122, _u13120, _u13123, _u13124)) = hAPP(c_Fun_Ocomp(_u13122, _u13120, tc_prod(_u13121, _u13122), _u13124), c_Product__Type_Osnd(_u13121, _u13122))) )).
% 12.21/12.46 cnf(matrix-5946, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13125, _u13126), _u13125, tc_prod(_u13127, _u13128), c_Product__Type_Ofst(_u13125, _u13126)), c_Product__Type_Omap__pair(_u13127, _u13125, _u13128, _u13126, _u13129, _u13130)) = hAPP(c_Fun_Ocomp(_u13127, _u13125, tc_prod(_u13127, _u13128), _u13129), c_Product__Type_Ofst(_u13127, _u13128))) )).
% 12.21/12.46 cnf(matrix-5947, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13131, _u13132, _u13133, _u13134, _u13135, _u13136), hAPP(c_Product__Type_Omap__pair(_u13137, _u13131, _u13138, _u13133, _u13139, _u13140), _u13141)) = hAPP(c_Product__Type_Omap__pair(_u13137, _u13132, _u13138, _u13134, hAPP(c_Fun_Ocomp(_u13131, _u13132, _u13137, _u13135), _u13139), hAPP(c_Fun_Ocomp(_u13133, _u13134, _u13138, _u13136), _u13140)), _u13141)) )).
% 12.21/12.46 cnf(matrix-5948, plain, ( ( c_Product__Type_Omap__pair(_u13142, _u13143, _u13144, _u13145, hAPP(c_Fun_Ocomp(_u13146, _u13143, _u13142, _u13147), _u13148), hAPP(c_Fun_Ocomp(_u13149, _u13145, _u13144, _u13150), _u13151)) = hAPP(c_Fun_Ocomp(tc_prod(_u13146, _u13149), tc_prod(_u13143, _u13145), tc_prod(_u13142, _u13144), c_Product__Type_Omap__pair(_u13146, _u13143, _u13149, _u13145, _u13147, _u13150)), c_Product__Type_Omap__pair(_u13142, _u13146, _u13144, _u13149, _u13148, _u13151))) )).
% 12.21/12.46 cnf(matrix-5949, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13152, _u13153), tc_prod(_u13154, _u13155), tc_prod(_u13156, _u13157), c_Product__Type_Omap__pair(_u13152, _u13154, _u13153, _u13155, _u13158, _u13159)), c_Product__Type_Omap__pair(_u13156, _u13152, _u13157, _u13153, _u13160, _u13161)) = c_Product__Type_Omap__pair(_u13156, _u13154, _u13157, _u13155, hAPP(c_Fun_Ocomp(_u13152, _u13154, _u13156, _u13158), _u13160), hAPP(c_Fun_Ocomp(_u13153, _u13155, _u13157, _u13159), _u13161))) )).
% 12.21/12.46 cnf(matrix-5950, plain, ( ( c_Product__Type_Omap__pair(_u13162, _u13162, _u13163, _u13163, c_COMBI(_u13162), c_COMBI(_u13163)) = c_Fun_Oid(tc_prod(_u13162, _u13163))) )).
% 12.21/12.46 cnf(matrix-5951, plain, ( ( c_Product__Type_Oapfst(_u13164, _u13165, _u13166, _u13167) = c_Product__Type_Omap__pair(_u13164, _u13165, _u13166, _u13166, _u13167, c_Fun_Oid(_u13166))) )).
% 12.21/12.46 cnf(matrix-5952, plain, ( ( c_Product__Type_Oapsnd(_u13168, _u13169, _u13170, _u13171) = c_Product__Type_Omap__pair(_u13170, _u13170, _u13168, _u13169, c_Fun_Oid(_u13170), _u13171)) )).
% 12.21/12.46 cnf(matrix-5953, plain, ( ( c_Product__Type_Omap__pair(_u13172, _u13172, _u13173, _u13173, c_Fun_Oid(_u13172), c_Fun_Oid(_u13173)) = c_Fun_Oid(tc_prod(_u13172, _u13173))) )).
% 12.21/12.46 cnf(matrix-5954, plain, ( ( c_Product__Type_Omap__pair(_u13174, _u13175, _u13176, _u13177, _u13178, _u13179) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13174, _u13176, tc_prod(_u13175, _u13177)), hAPP(hAPP(c_COMBC(_u13174, tc_fun(_u13176, _u13177), tc_fun(_u13176, tc_prod(_u13175, _u13177))), hAPP(hAPP(c_COMBB(tc_fun(_u13177, tc_prod(_u13175, _u13177)), tc_fun(tc_fun(_u13176, _u13177), tc_fun(_u13176, tc_prod(_u13175, _u13177))), _u13174), c_COMBB(_u13177, tc_prod(_u13175, _u13177), _u13176)), hAPP(hAPP(c_COMBB(_u13175, tc_fun(_u13177, tc_prod(_u13175, _u13177)), _u13174), c_Product__Type_OPair(_u13175, _u13177)), _u13178))), _u13179))) )).
% 12.21/12.46 cnf(matrix-5955, plain, ( ( hAPP(c_Set_Oimage(_u13180, _u13181, _u13182), _u13183) != _u13184) | ( hAPP(c_Set_Oimage(_u13185, _u13186, _u13187), _u13188) != _u13189) | ( hAPP(c_Set_Oimage(tc_prod(_u13180, _u13185), tc_prod(_u13181, _u13186), c_Product__Type_Omap__pair(_u13180, _u13181, _u13185, _u13186, _u13182, _u13187)), hAPP(hAPP(c_Product__Type_OSigma(_u13180, _u13185), _u13183), hAPP(c_COMBK(tc_fun(_u13185, tc_HOL_Obool), _u13180), _u13188))) = hAPP(hAPP(c_Product__Type_OSigma(_u13181, _u13186), _u13184), hAPP(c_COMBK(tc_fun(_u13186, tc_HOL_Obool), _u13181), _u13189))) )).
% 12.21/12.46 cnf(matrix-5956, plain, ( ~c_Wellfounded_Owf(_u13190, _u13191) | ~c_Fun_Oinj__on(_u13190, _u13192, _u13193, c_Orderings_Otop__class_Otop(tc_fun(_u13190, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13192, hAPP(c_Set_Oimage(tc_prod(_u13190, _u13190), tc_prod(_u13192, _u13192), c_Product__Type_Omap__pair(_u13190, _u13192, _u13190, _u13192, _u13193, _u13193)), _u13191)) )).
% 12.21/12.46 cnf(matrix-5957, plain, ( ~c_Fun_Oinj__on(_u13194, _u13195, _u13196, _u13197) | ~c_Fun_Oinj__on(_u13198, _u13199, _u13200, _u13201) | c_Fun_Oinj__on(tc_prod(_u13194, _u13198), tc_prod(_u13195, _u13199), c_Product__Type_Omap__pair(_u13194, _u13195, _u13198, _u13199, _u13196, _u13200), hAPP(hAPP(c_Product__Type_OSigma(_u13194, _u13198), _u13197), hAPP(c_COMBK(tc_fun(_u13198, tc_HOL_Obool), _u13194), _u13201))) )).
% 12.21/12.46 cnf(matrix-5958, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13204, _u13205)), _u13206), hAPP(c_Set_Oimage(tc_prod(_u13207, _u13208), tc_prod(_u13204, _u13205), c_Product__Type_Omap__pair(_u13207, _u13204, _u13208, _u13205, _u13209, _u13210)), _u13211))) | ( _u13206 = hAPP(hAPP(c_Product__Type_OPair(_u13204, _u13205), hAPP(_u13209, skolem291(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204))), hAPP(_u13210, skolem292(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204)))) )).
% 12.21/12.46 cnf(matrix-5959, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13204, _u13205)), _u13206), hAPP(c_Set_Oimage(tc_prod(_u13207, _u13208), tc_prod(_u13204, _u13205), c_Product__Type_Omap__pair(_u13207, _u13204, _u13208, _u13205, _u13209, _u13210)), _u13211))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13207, _u13208)), hAPP(hAPP(c_Product__Type_OPair(_u13207, _u13208), skolem291(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204)), skolem292(_u13211, _u13210, _u13209, _u13208, _u13207, _u13206, _u13205, _u13204))), _u13211)) )).
% 12.21/12.46 cnf(matrix-5960, plain, ( ~c_Relation_Orefl__on(_u13217, _u13219, _u13221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13217, _u13217), tc_HOL_Obool)), _u13221), hAPP(hAPP(c_Product__Type_OSigma(_u13217, _u13217), _u13219), hAPP(c_COMBK(tc_fun(_u13217, tc_HOL_Obool), _u13217), _u13219)))) )).
% 12.21/12.46 cnf(matrix-5961, plain, ( ~c_Relation_Orefl__on(_u13217, _u13219, _u13221) | ~hBOOL(hAPP(hAPP(c_member(_u13217), _u13212), _u13219)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13217, _u13217)), hAPP(hAPP(c_Product__Type_OPair(_u13217, _u13217), _u13212), _u13212)), _u13221)) )).
% 12.21/12.46 cnf(matrix-5962, plain, ( c_Relation_Orefl__on(_u13218, _u13220, _u13222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13218, _u13218), tc_HOL_Obool)), _u13222), hAPP(hAPP(c_Product__Type_OSigma(_u13218, _u13218), _u13220), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13218), _u13220)))) | hBOOL(hAPP(hAPP(c_member(_u13218), skolem293(_u13222, _u13220, _u13218)), _u13220)) )).
% 12.21/12.46 cnf(matrix-5963, plain, ( c_Relation_Orefl__on(_u13218, _u13220, _u13222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13218, _u13218), tc_HOL_Obool)), _u13222), hAPP(hAPP(c_Product__Type_OSigma(_u13218, _u13218), _u13220), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13218), _u13220)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13218, _u13218)), hAPP(hAPP(c_Product__Type_OPair(_u13218, _u13218), skolem293(_u13222, _u13220, _u13218)), skolem293(_u13222, _u13220, _u13218))), _u13222)) )).
% 12.21/12.46 cnf(matrix-5964, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), _u13225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem295(_u13227, _u13226, _u13225)), _u13225)) )).
% 12.21/12.46 cnf(matrix-5965, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), _u13225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | ( hAPP(_u13226, skolem295(_u13227, _u13226, _u13225)) = _u13227) )).
% 12.21/12.46 cnf(matrix-5966, 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(_u13226, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13226, skolem294(_u13227, _u13226, _u13225))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem295(_u13227, _u13226, _u13225)), _u13225)) )).
% 12.21/12.46 cnf(matrix-5967, 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(_u13226, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem294(_u13227, _u13226, _u13225)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13226, skolem294(_u13227, _u13226, _u13225))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13226, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13227), hAPP(_u13226, _u13225))) | ( hAPP(_u13226, skolem295(_u13227, _u13226, _u13225)) = _u13227) )).
% 12.21/12.46 cnf(matrix-5968, plain, ( c_Relation_Orefl__on(_u13228, _u13229, c_Relation_OId__on(_u13228, _u13229)) )).
% 12.21/12.46 cnf(matrix-5969, plain, ( c_Relation_Orefl__on(_u13230, c_Orderings_Obot__class_Obot(tc_fun(_u13230, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13230, _u13230), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-5970, plain, ( ~c_Relation_Orefl__on(_u13231, _u13232, _u13233) | ~c_Relation_Orefl__on(_u13231, _u13234, _u13235) | c_Relation_Orefl__on(_u13231, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13231, tc_HOL_Obool)), _u13232), _u13234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13231, _u13231), tc_HOL_Obool)), _u13233), _u13235)) )).
% 12.21/12.46 cnf(matrix-5971, plain, ( ~c_Relation_Orefl__on(_u13236, _u13237, _u13238) | ~c_Relation_Orefl__on(_u13236, _u13239, _u13240) | c_Relation_Orefl__on(_u13236, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13236, tc_HOL_Obool)), _u13237), _u13239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool)), _u13238), _u13240)) )).
% 12.21/12.46 cnf(matrix-5972, plain, ( ~c_Relation_Orefl__on(_u13241, _u13242, _u13243) | ~hBOOL(hAPP(hAPP(c_member(_u13241), _u13244), _u13242)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13241, _u13241)), hAPP(hAPP(c_Product__Type_OPair(_u13241, _u13241), _u13244), _u13244)), _u13243)) )).
% 12.21/12.46 cnf(matrix-5973, plain, ( ~c_Relation_Orefl__on(_u13245, _u13246, _u13247) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13245, _u13245)), hAPP(hAPP(c_Product__Type_OPair(_u13245, _u13245), _u13248), _u13249)), _u13247)) | hBOOL(hAPP(hAPP(c_member(_u13245), _u13248), _u13246)) )).
% 12.21/12.46 cnf(matrix-5974, plain, ( ~c_Relation_Orefl__on(_u13250, _u13251, _u13252) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13250, _u13250)), hAPP(hAPP(c_Product__Type_OPair(_u13250, _u13250), _u13253), _u13254)), _u13252)) | hBOOL(hAPP(hAPP(c_member(_u13250), _u13254), _u13251)) )).
% 12.21/12.46 cnf(matrix-5975, plain, ( ~c_Predicate_Oreflp(_u13257, _u13259) | c_Relation_Orefl__on(_u13257, c_Orderings_Otop__class_Otop(tc_fun(_u13257, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13257, _u13257)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13257, _u13257, tc_HOL_Obool), _u13259))) )).
% 12.21/12.46 cnf(matrix-5976, plain, ( ~c_Relation_Orefl__on(_u13258, c_Orderings_Otop__class_Otop(tc_fun(_u13258, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13258, _u13258)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13258, _u13258, tc_HOL_Obool), _u13260))) | c_Predicate_Oreflp(_u13258, _u13260) )).
% 12.21/12.46 cnf(matrix-5977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13262, _u13262), tc_HOL_Obool)), _u13263), hAPP(hAPP(c_Product__Type_OSigma(_u13262, _u13262), _u13264), hAPP(c_COMBK(tc_fun(_u13262, tc_HOL_Obool), _u13262), _u13264)))) | c_Relation_Orefl__on(_u13262, _u13264, _u13263) | hBOOL(hAPP(hAPP(c_member(_u13262), skolem296(_u13264, _u13263, _u13262)), _u13264)) )).
% 12.21/12.46 cnf(matrix-5978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13262, _u13262), tc_HOL_Obool)), _u13263), hAPP(hAPP(c_Product__Type_OSigma(_u13262, _u13262), _u13264), hAPP(c_COMBK(tc_fun(_u13262, tc_HOL_Obool), _u13262), _u13264)))) | c_Relation_Orefl__on(_u13262, _u13264, _u13263) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13262, _u13262)), hAPP(hAPP(c_Product__Type_OPair(_u13262, _u13262), skolem296(_u13264, _u13263, _u13262)), skolem296(_u13264, _u13263, _u13262))), _u13263)) )).
% 12.21/12.46 cnf(matrix-5979, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), _u13267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem298(_u13269, _u13268, _u13267)), _u13267)) )).
% 12.21/12.46 cnf(matrix-5980, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), _u13267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | ( hAPP(_u13268, skolem298(_u13269, _u13268, _u13267)) = _u13269) )).
% 12.21/12.46 cnf(matrix-5981, 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(_u13268, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13268, skolem297(_u13269, _u13268, _u13267))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem298(_u13269, _u13268, _u13267)), _u13267)) )).
% 12.21/12.46 cnf(matrix-5982, 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(_u13268, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem297(_u13269, _u13268, _u13267)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13268, skolem297(_u13269, _u13268, _u13267))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13268, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13269)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13269), hAPP(_u13268, _u13267))) | ( hAPP(_u13268, skolem298(_u13269, _u13268, _u13267)) = _u13269) )).
% 12.21/12.46 cnf(matrix-5983, plain, ( hBOOL(hAPP(hAPP(_u13271, _u13272), _u13272)) | ~c_Predicate_Oreflp(_u13270, _u13271) )).
% 12.21/12.46 cnf(matrix-5984, plain, ( ~c_Wellfounded_OwfP(_u13275, _u13277) | c_Wellfounded_Owf(_u13275, hAPP(c_Set_OCollect(tc_prod(_u13275, _u13275)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13275, _u13275, tc_HOL_Obool), _u13277))) )).
% 12.21/12.46 cnf(matrix-5985, plain, ( ~c_Wellfounded_Owf(_u13276, hAPP(c_Set_OCollect(tc_prod(_u13276, _u13276)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13276, _u13276, tc_HOL_Obool), _u13278))) | c_Wellfounded_OwfP(_u13276, _u13278) )).
% 12.21/12.46 cnf(matrix-5986, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13280), _u13281)) | 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(_u13280, tc_Nat_Onat), _u13282), _u13281))) | hBOOL(hAPP(hAPP(c_member(_u13280), skolem299(_u13282, _u13281, _u13280)), _u13281)) )).
% 12.21/12.46 cnf(matrix-5987, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13280), _u13281)) | 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(_u13280, tc_Nat_Onat), _u13282), _u13281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u13282, skolem299(_u13282, _u13281, _u13280)))) )).
% 12.21/12.46 cnf(matrix-5988, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13284), c_Int_OInteg)) | ~hBOOL(hAPP(_u13285, hAPP(c_Int_ORep__Integ, skolem300(_u13285, _u13284)))) | hBOOL(hAPP(_u13285, _u13284)) )).
% 12.21/12.46 cnf(matrix-5989, plain, ( c_Wellfounded_OwfP(_u13286, hAPP(c_COMBK(tc_fun(_u13286, tc_HOL_Obool), _u13286), hAPP(c_COMBK(tc_HOL_Obool, _u13286), c_fFalse))) )).
% 12.21/12.46 cnf(matrix-5990, plain, ( ~c_Wellfounded_OwfP(_u13291, _u13293) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13291, _u13293), _u13287)) )).
% 12.21/12.46 cnf(matrix-5991, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13292, _u13294), skolem301(_u13294, _u13292))) | c_Wellfounded_OwfP(_u13292, _u13294) )).
% 12.21/12.46 cnf(matrix-5992, plain, ( ~c_Wellfounded_OwfP(_u13295, _u13296) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13295, _u13296), _u13297)) )).
% 12.21/12.46 cnf(matrix-5993, plain, ( ~c_Wellfounded_OwfP(_u13298, _u13299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13298, tc_fun(_u13298, tc_HOL_Obool))), _u13300), _u13299)) | c_Wellfounded_OwfP(_u13298, _u13300) )).
% 12.21/12.46 cnf(matrix-5994, plain, ( ~c_Wellfounded_Owf(_u13301, _u13302) | c_Wellfounded_OwfP(_u13301, c_FunDef_Oin__rel(_u13301, _u13301, _u13302)) )).
% 12.21/12.46 cnf(matrix-5995, plain, ( ~c_Wellfounded_OwfP(_u13305, hAPP(hAPP(c_COMBC(_u13305, tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_fun(_u13305, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_fun(_u13305, tc_HOL_Obool)), _u13305), c_COMBC(_u13305, tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_prod(_u13305, _u13305)), tc_fun(_u13305, tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool)), _u13305), hAPP(c_COMBB(tc_prod(_u13305, _u13305), tc_fun(tc_fun(tc_prod(_u13305, _u13305), tc_HOL_Obool), tc_HOL_Obool), _u13305), c_member(tc_prod(_u13305, _u13305)))), c_Product__Type_OPair(_u13305, _u13305)))), _u13307)) | c_Wellfounded_Owf(_u13305, _u13307) )).
% 12.21/12.46 cnf(matrix-5996, plain, ( ~c_Wellfounded_Owf(_u13306, _u13308) | c_Wellfounded_OwfP(_u13306, hAPP(hAPP(c_COMBC(_u13306, tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13306, tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), _u13306), c_COMBC(_u13306, tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13306, tc_prod(_u13306, _u13306)), tc_fun(_u13306, tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool)), _u13306), hAPP(c_COMBB(tc_prod(_u13306, _u13306), tc_fun(tc_fun(tc_prod(_u13306, _u13306), tc_HOL_Obool), tc_HOL_Obool), _u13306), c_member(tc_prod(_u13306, _u13306)))), c_Product__Type_OPair(_u13306, _u13306)))), _u13308)) )).
% 12.21/12.46 cnf(matrix-5997, plain, ( ~c_Wellfounded_OwfP(_u13309, _u13310) | c_Wellfounded_Oacyclic(_u13309, hAPP(c_Set_OCollect(tc_prod(_u13309, _u13309)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13309, _u13309, tc_HOL_Obool), _u13310))) )).
% 12.21/12.46 cnf(matrix-5998, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13312), c_Int_OInteg)) | ( _u13312 = hAPP(c_Int_ORep__Integ, skolem302(_u13312))) )).
% 12.21/12.46 cnf(matrix-5999, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13316), hAPP(c_Set_Oimage(_u13314, _u13316, _u13317), _u13315))) | hBOOL(hAPP(hAPP(c_member(_u13314), skolem303(_u13317, _u13316, _u13315, _u13314)), _u13315)) )).
% 12.21/12.46 cnf(matrix-6000, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), _u13315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13316), hAPP(c_Set_Oimage(_u13314, _u13316, _u13317), _u13315))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13314), hAPP(c_Set_OCollect(_u13314), hAPP(hAPP(c_COMBS(_u13314, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13314), c_fconj), hAPP(hAPP(c_COMBC(_u13314, tc_fun(_u13314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13314)), _u13315))), hAPP(hAPP(c_COMBC(_u13314, _u13316, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13316, tc_fun(_u13316, tc_HOL_Obool), _u13314), c_fequal), _u13317)), hAPP(_u13317, skolem303(_u13317, _u13316, _u13315, _u13314))))))) )).
% 12.21/12.46 cnf(matrix-6001, plain, ( ~c_Wellfounded_Oacyclic(_u13318, _u13319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13318, _u13318), tc_HOL_Obool)), _u13320), _u13319)) | c_Wellfounded_Oacyclic(_u13318, _u13320) )).
% 12.21/12.46 cnf(matrix-6002, plain, ( ~c_Wellfounded_Owf(_u13321, _u13322) | c_Wellfounded_Oacyclic(_u13321, _u13322) )).
% 12.21/12.46 cnf(matrix-6003, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13323, _u13323)), _u13324)) | ~c_Wellfounded_Owf(_u13323, _u13324) | c_Wellfounded_Oacyclic(_u13323, _u13324) )).
% 12.21/12.46 cnf(matrix-6004, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13323, _u13323)), _u13324)) | ~c_Wellfounded_Oacyclic(_u13323, _u13324) | c_Wellfounded_Owf(_u13323, _u13324) )).
% 12.21/12.46 cnf(matrix-6005, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13325, _u13325)), _u13326)) | ~c_Wellfounded_Oacyclic(_u13325, _u13326) | c_Wellfounded_Owf(_u13325, _u13326) )).
% 12.21/12.46 cnf(matrix-6006, plain, ( ~c_Nitpick_Owf_H(_u13329, _u13331) | c_Wellfounded_Oacyclic(_u13329, _u13331) )).
% 12.21/12.46 cnf(matrix-6007, plain, ( ~c_Nitpick_Owf_H(_u13329, _u13331) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13329, _u13329)), _u13331)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.21/12.46 cnf(matrix-6008, plain, ( c_Nitpick_Owf_H(_u13330, _u13332) | ~c_Wellfounded_Oacyclic(_u13330, _u13332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13330, _u13330)), _u13332)) )).
% 12.21/12.46 cnf(matrix-6009, plain, ( c_Nitpick_Owf_H(_u13330, _u13332) | ~c_Wellfounded_Oacyclic(_u13330, _u13332) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.21/12.46 cnf(matrix-6010, plain, ( ~c_Relation_Orefl__on(_u13340, _u13342, _u13344) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13340, _u13340)), _u13333), _u13344)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13340, _u13340, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13340, tc_fun(_u13340, tc_HOL_Obool), tc_fun(_u13340, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13340, tc_HOL_Obool), tc_fun(_u13340, tc_HOL_Obool)), _u13340), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13340)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13340), c_fconj), hAPP(hAPP(c_COMBC(_u13340, tc_fun(_u13340, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13340)), _u13342)))), hAPP(hAPP(c_COMBC(_u13340, tc_fun(_u13340, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13340)), _u13342))), _u13333)) )).
% 12.21/12.46 cnf(matrix-6011, plain, ( ~c_Relation_Orefl__on(_u13340, _u13342, _u13344) | ~hBOOL(hAPP(hAPP(c_member(_u13340), _u13334), _u13342)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13340, _u13340)), hAPP(hAPP(c_Product__Type_OPair(_u13340, _u13340), _u13334), _u13334)), _u13344)) )).
% 12.21/12.46 cnf(matrix-6012, plain, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), skolem304(_u13345, _u13343, _u13341)), _u13345)) | hBOOL(hAPP(hAPP(c_member(_u13341), skolem305(_u13345, _u13343, _u13341)), _u13343)) )).
% 12.21/12.46 cnf(matrix-6013, plain, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), skolem304(_u13345, _u13343, _u13341)), _u13345)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), hAPP(hAPP(c_Product__Type_OPair(_u13341, _u13341), skolem305(_u13345, _u13343, _u13341)), skolem305(_u13345, _u13343, _u13341))), _u13345)) )).
% 12.21/12.46 cnf(matrix-6014, plain, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13341, _u13341, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), _u13341), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13341)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13341), c_fconj), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343)))), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343))), skolem304(_u13345, _u13343, _u13341))) | hBOOL(hAPP(hAPP(c_member(_u13341), skolem305(_u13345, _u13343, _u13341)), _u13343)) )).
% 12.21/12.46 cnf(matrix-6015, plain, ( c_Relation_Orefl__on(_u13341, _u13343, _u13345) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13341, _u13341, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13341, tc_HOL_Obool), tc_fun(_u13341, tc_HOL_Obool)), _u13341), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13341)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13341), c_fconj), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343)))), hAPP(hAPP(c_COMBC(_u13341, tc_fun(_u13341, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13341)), _u13343))), skolem304(_u13345, _u13343, _u13341))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13341, _u13341)), hAPP(hAPP(c_Product__Type_OPair(_u13341, _u13341), skolem305(_u13345, _u13343, _u13341)), skolem305(_u13345, _u13343, _u13341))), _u13345)) )).
% 12.21/12.46 cnf(matrix-6016, plain, ( hBOOL(hAPP(_u13347, _u13348)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem306(_u13348, _u13347)), c_Int_OInteg)) )).
% 12.21/12.46 cnf(matrix-6017, plain, ( hBOOL(hAPP(_u13347, _u13348)) | ~hBOOL(hAPP(_u13347, hAPP(c_Int_OAbs__Integ, skolem306(_u13348, _u13347)))) )).
% 12.21/12.46 cnf(matrix-6018, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13350), _u13349), c_Orderings_Obot__class_Obot(tc_fun(_u13350, tc_HOL_Obool)))) | hBOOL(hAPP(_u13351, _u13349)) )).
% 12.21/12.46 cnf(matrix-6019, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13357, _u13359), _u13361)) | ~hBOOL(hAPP(hAPP(c_member(_u13357), _u13352), _u13361)) | hBOOL(hAPP(_u13359, _u13352)) )).
% 12.21/12.46 cnf(matrix-6020, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13358, _u13360), _u13362)) | hBOOL(hAPP(hAPP(c_member(_u13358), skolem307(_u13362, _u13360, _u13358)), _u13362)) )).
% 12.21/12.46 cnf(matrix-6021, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13358, _u13360), _u13362)) | ~hBOOL(hAPP(_u13360, skolem307(_u13362, _u13360, _u13358))) )).
% 12.21/12.46 cnf(matrix-6022, plain, ( ~c_Equiv__Relations_Ocongruent(_u13369, _u13371, _u13373, _u13375) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13369, _u13369)), _u13363), _u13373)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13369, _u13369, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13369, tc_fun(_u13369, _u13371), tc_fun(_u13369, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13371, tc_HOL_Obool), tc_fun(tc_fun(_u13369, _u13371), tc_fun(_u13369, tc_HOL_Obool)), _u13369), c_COMBB(_u13371, tc_HOL_Obool, _u13369)), hAPP(hAPP(c_COMBB(_u13371, tc_fun(_u13371, tc_HOL_Obool), _u13369), c_fequal), _u13375))), _u13375)), _u13363)) )).
% 12.21/12.46 cnf(matrix-6023, plain, ( c_Equiv__Relations_Ocongruent(_u13370, _u13372, _u13374, _u13376) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13370, _u13370)), skolem308(_u13376, _u13374, _u13372, _u13370)), _u13374)) )).
% 12.21/12.46 cnf(matrix-6024, plain, ( c_Equiv__Relations_Ocongruent(_u13370, _u13372, _u13374, _u13376) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13370, _u13370, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13370, tc_fun(_u13370, _u13372), tc_fun(_u13370, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13372, tc_HOL_Obool), tc_fun(tc_fun(_u13370, _u13372), tc_fun(_u13370, tc_HOL_Obool)), _u13370), c_COMBB(_u13372, tc_HOL_Obool, _u13370)), hAPP(hAPP(c_COMBB(_u13372, tc_fun(_u13372, tc_HOL_Obool), _u13370), c_fequal), _u13376))), _u13376)), skolem308(_u13376, _u13374, _u13372, _u13370))) )).
% 12.21/12.46 cnf(matrix-6025, plain, ( ( _u13378 = hAPP(c_Int_OAbs__Integ, skolem309(_u13378))) )).
% 12.21/12.46 cnf(matrix-6026, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem309(_u13378)), c_Int_OInteg)) )).
% 12.21/12.46 cnf(matrix-6027, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13380, tc_fun(_u13382, tc_HOL_Obool)), _u13381), _u13383))) | hBOOL(hAPP(hAPP(c_member(_u13380), skolem310(_u13383, _u13382, _u13381, _u13380)), _u13381)) )).
% 12.21/12.46 cnf(matrix-6028, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13380), _u13381)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13380, tc_fun(_u13382, tc_HOL_Obool)), _u13381), _u13383))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13382), hAPP(_u13383, skolem310(_u13383, _u13382, _u13381, _u13380)))) )).
% 12.21/12.46 cnf(matrix-6029, 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)), _u13386), _u13385) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem311(_u13386, _u13385)), _u13385)) )).
% 12.21/12.46 cnf(matrix-6030, 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)), _u13386), _u13385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13386), skolem311(_u13386, _u13385))) )).
% 12.21/12.46 cnf(matrix-6031, plain, ( ~c_Wellfounded_OwfP(_u13390, hAPP(_u13391, skolem312(_u13392, _u13391, _u13390))) | c_Wellfounded_OwfP(_u13390, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13392, tc_fun(_u13390, tc_fun(_u13390, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13392, tc_HOL_Obool))), _u13391)) | ( hAPP(_u13391, skolem313(_u13392, _u13391, _u13390)) != hAPP(_u13391, skolem314(_u13392, _u13391, _u13390))) )).
% 12.21/12.46 cnf(matrix-6032, plain, ( ~c_Wellfounded_OwfP(_u13390, hAPP(_u13391, skolem312(_u13392, _u13391, _u13390))) | c_Wellfounded_OwfP(_u13390, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13392, tc_fun(_u13390, tc_fun(_u13390, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13392, tc_HOL_Obool))), _u13391)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13390, tc_HOL_Obool)), c_Predicate_ODomainP(_u13390, _u13390, hAPP(_u13391, skolem313(_u13392, _u13391, _u13390)))), c_Predicate_ORangeP(_u13390, _u13390, hAPP(_u13391, skolem314(_u13392, _u13391, _u13390)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13390, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6033, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13394), c_Map_Odom(_u13394, _u13395, _u13396))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13394), c_Orderings_Otop__class_Otop(tc_fun(_u13394, tc_HOL_Obool)))) | ( hAPP(_u13396, skolem315(_u13396, _u13395, _u13394)) = c_Option_Ooption_ONone(_u13395)) )).
% 12.21/12.46 cnf(matrix-6034, plain, ( hBOOL(hAPP(hAPP(c_member(_u13402), _u13403), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13400, _u13401, tc_fun(_u13402, tc_HOL_Obool)), _u13404), _u13399))) | ( _u13399 = hAPP(hAPP(c_Product__Type_OPair(_u13400, _u13401), skolem316(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399)), skolem317(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399))) )).
% 12.21/12.46 cnf(matrix-6035, plain, ( hBOOL(hAPP(hAPP(c_member(_u13402), _u13403), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13400, _u13401, tc_fun(_u13402, tc_HOL_Obool)), _u13404), _u13399))) | ~hBOOL(hAPP(hAPP(c_member(_u13402), _u13403), hAPP(hAPP(_u13404, skolem316(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399)), skolem317(_u13404, _u13403, _u13402, _u13401, _u13400, _u13399)))) )).
% 12.21/12.46 cnf(matrix-6036, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13407), _u13408), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13409, _u13410, tc_fun(_u13407, tc_HOL_Obool)), _u13411), _u13412))) | ( _u13412 = hAPP(hAPP(c_Product__Type_OPair(_u13409, _u13410), skolem318(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407)), skolem319(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407))) )).
% 12.21/12.46 cnf(matrix-6037, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13407), _u13408), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13409, _u13410, tc_fun(_u13407, tc_HOL_Obool)), _u13411), _u13412))) | hBOOL(hAPP(hAPP(c_member(_u13407), _u13408), hAPP(hAPP(_u13411, skolem318(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407)), skolem319(_u13412, _u13411, _u13410, _u13409, _u13408, _u13407)))) )).
% 12.21/12.46 cnf(matrix-6038, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13414, tc_Nat_Onat), _u13415), _u13416) != hAPP(c_Nat_OSuc, _u13417)) | hBOOL(hAPP(hAPP(c_member(_u13414), skolem320(_u13417, _u13416, _u13415, _u13414)), _u13416)) )).
% 12.21/12.46 cnf(matrix-6039, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13414, tc_Nat_Onat), _u13415), _u13416) != hAPP(c_Nat_OSuc, _u13417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u13415, skolem320(_u13417, _u13416, _u13415, _u13414)))) )).
% 12.21/12.46 cnf(matrix-6040, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13418, _u13419), hAPP(c_Product__Type_Oprod_Oprod__case(_u13418, _u13419, tc_HOL_Obool), _u13420)) = c_Hilbert__Choice_OEps(tc_prod(_u13418, _u13419), hAPP(hAPP(c_COMBS(tc_prod(_u13418, _u13419), _u13419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13418, tc_fun(_u13419, tc_HOL_Obool), tc_prod(_u13418, _u13419)), _u13420), c_Product__Type_Ofst(_u13418, _u13419))), c_Product__Type_Osnd(_u13418, _u13419)))) )).
% 12.21/12.46 cnf(matrix-6041, plain, ( ( c_Hilbert__Choice_OEps(_u13421, hAPP(c_fequal, _u13422)) = _u13422) )).
% 12.21/12.46 cnf(matrix-6042, plain, ( ( c_Hilbert__Choice_OEps(_u13423, hAPP(hAPP(c_COMBC(_u13423, _u13423, tc_HOL_Obool), c_fequal), _u13424)) = _u13424) )).
% 12.21/12.46 cnf(matrix-6043, plain, ( ~hBOOL(hAPP(_u13429, c_Hilbert__Choice_OEps(_u13431, _u13429))) | hBOOL(hAPP(_u13429, skolem321(_u13431, _u13429))) )).
% 12.21/12.46 cnf(matrix-6044, plain, ( ~hBOOL(hAPP(_u13430, _u13426)) | hBOOL(hAPP(_u13430, c_Hilbert__Choice_OEps(_u13432, _u13430))) )).
% 12.21/12.46 cnf(matrix-6045, plain, ( ~hBOOL(hAPP(_u13434, _u13433)) | hBOOL(hAPP(_u13434, c_Hilbert__Choice_OEps(_u13435, _u13434))) )).
% 12.21/12.46 cnf(matrix-6046, plain, ( ~hBOOL(hAPP(_u13436, _u13437)) | hBOOL(hAPP(_u13436, c_Hilbert__Choice_OEps(_u13438, _u13436))) )).
% 12.21/12.46 cnf(matrix-6047, plain, ( ~hBOOL(hAPP(_u13440, _u13439)) | hBOOL(hAPP(_u13440, c_Hilbert__Choice_OEps(_u13441, _u13440))) )).
% 12.21/12.46 cnf(matrix-6048, plain, ( ~hBOOL(hAPP(_u13443, _u13442)) | ( _u13444 != c_Hilbert__Choice_OEps(_u13445, _u13443)) | hBOOL(hAPP(_u13443, _u13444)) )).
% 12.21/12.46 cnf(matrix-6049, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13446, _u13447), _u13448) = c_Hilbert__Choice_OEps(tc_prod(_u13446, _u13447), hAPP(c_Product__Type_Oprod_Oprod__case(_u13446, _u13447, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13447, tc_prod(_u13446, _u13447)), tc_fun(_u13447, tc_HOL_Obool), _u13446), hAPP(c_COMBB(tc_prod(_u13446, _u13447), tc_HOL_Obool, _u13447), _u13448)), c_Product__Type_OPair(_u13446, _u13447))))) )).
% 12.21/12.46 cnf(matrix-6050, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13449, _u13450), hAPP(c_Product__Type_Oprod_Oprod__case(_u13449, _u13450, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13449, tc_fun(_u13450, tc_HOL_Obool), tc_fun(_u13450, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13450, tc_HOL_Obool), tc_fun(_u13450, tc_HOL_Obool)), _u13449), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13450)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13449), c_fconj), hAPP(c_fequal, _u13451)))), hAPP(c_fequal, _u13452)))) = hAPP(hAPP(c_Product__Type_OPair(_u13449, _u13450), _u13451), _u13452)) )).
% 12.21/12.46 cnf(matrix-6051, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u13453, _u13454, _u13455, _u13456), _u13457) = c_Hilbert__Choice_OEps(_u13453, hAPP(hAPP(c_COMBS(_u13453, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13453), c_fconj), hAPP(hAPP(c_COMBC(_u13453, tc_fun(_u13453, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13453)), _u13455))), hAPP(hAPP(c_COMBC(_u13453, _u13454, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13454, tc_fun(_u13454, tc_HOL_Obool), _u13453), c_fequal), _u13456)), _u13457)))) )).
% 12.21/12.46 cnf(matrix-6052, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u13458, _u13459, c_Orderings_Otop__class_Otop(tc_fun(_u13458, tc_HOL_Obool)), _u13460), _u13461) = c_Hilbert__Choice_OEps(_u13458, hAPP(hAPP(c_COMBC(_u13458, _u13459, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13459, tc_fun(_u13459, tc_HOL_Obool), _u13458), c_fequal), _u13460)), _u13461))) )).
% 12.21/12.46 cnf(matrix-6053, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u13463, _u13464) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u13465, _u13464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13465), _u13463)) | ( _u13463 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u13465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u13464), skolem322(_u13465, _u13464, _u13463)))) )).
% 12.21/12.46 cnf(matrix-6054, plain, ( c_Wellfounded_Owf(_u13467, _u13468) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13467, tc_HOL_Obool)), skolem323(_u13468, _u13467)), hAPP(c_Relation_OImage(_u13467, _u13467, _u13468), skolem323(_u13468, _u13467)))) )).
% 12.21/12.46 cnf(matrix-6055, plain, ( c_Wellfounded_Owf(_u13467, _u13468) | ( skolem323(_u13468, _u13467) != c_Orderings_Obot__class_Obot(tc_fun(_u13467, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13470, tc_HOL_Obool)), _u13471), _u13472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13470, _u13473), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13471), _u13474)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13472), _u13475))) | hBOOL(hAPP(hAPP(c_member(_u13470), skolem324(_u13475, _u13474, _u13473, _u13472, _u13471, _u13470)), _u13471)) )).
% 12.21/12.46 cnf(matrix-6057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13470, tc_HOL_Obool)), _u13471), _u13472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13470, _u13473), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13471), _u13474)), hAPP(hAPP(c_Product__Type_OSigma(_u13470, _u13473), _u13472), _u13475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13473, tc_HOL_Obool)), hAPP(_u13474, skolem324(_u13475, _u13474, _u13473, _u13472, _u13471, _u13470))), hAPP(_u13475, skolem324(_u13475, _u13474, _u13473, _u13472, _u13471, _u13470)))) )).
% 12.21/12.46 cnf(matrix-6058, plain, ( hBOOL(hAPP(hAPP(c_member(_u13477), _u13478), c_Wellfounded_Oacc(_u13477, _u13479))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13477, _u13477)), hAPP(hAPP(c_Product__Type_OPair(_u13477, _u13477), skolem325(_u13479, _u13478, _u13477)), _u13478)), _u13479)) )).
% 12.21/12.46 cnf(matrix-6059, plain, ( hBOOL(hAPP(hAPP(c_member(_u13477), _u13478), c_Wellfounded_Oacc(_u13477, _u13479))) | ~hBOOL(hAPP(hAPP(c_member(_u13477), skolem325(_u13479, _u13478, _u13477)), c_Wellfounded_Oacc(_u13477, _u13479))) )).
% 12.21/12.46 cnf(matrix-6060, plain, ( hBOOL(hAPP(hAPP(c_member(_u13481), _u13482), c_Wellfounded_Oacc(_u13481, _u13483))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13481)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13481), skolem326(_u13483, _u13482, _u13481)), _u13482)), _u13483)) )).
% 12.21/12.46 cnf(matrix-6061, plain, ( hBOOL(hAPP(hAPP(c_member(_u13481), _u13482), c_Wellfounded_Oacc(_u13481, _u13483))) | ~hBOOL(hAPP(hAPP(c_member(_u13481), skolem326(_u13483, _u13482, _u13481)), c_Wellfounded_Oacc(_u13481, _u13483))) )).
% 12.21/12.46 cnf(matrix-6062, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13485, _u13486, c_Groups_Otimes__class_Otimes(_u13485)), _u13488), c_Groups_Oone__class_Oone(_u13485)), _u13487) = c_Groups_Oone__class_Oone(_u13485)) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem327(_u13488, _u13487, _u13486, _u13485)), _u13487)) )).
% 12.21/12.46 cnf(matrix-6063, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13485, _u13486, c_Groups_Otimes__class_Otimes(_u13485)), _u13488), c_Groups_Oone__class_Oone(_u13485)), _u13487) = c_Groups_Oone__class_Oone(_u13485)) | ( hAPP(_u13488, skolem327(_u13488, _u13487, _u13486, _u13485)) != c_Groups_Oone__class_Oone(_u13485)) )).
% 12.21/12.46 cnf(matrix-6064, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13490), _u13491)) | ( hAPP(c_Finite__Set_Ocard(_u13490), _u13491) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u13490), skolem328(_u13491, _u13490)), _u13491)) )).
% 12.21/12.46 cnf(matrix-6065, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13490), _u13491)) | ( hAPP(c_Finite__Set_Ocard(_u13490), _u13491) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.46 cnf(matrix-6066, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13500), _u13502)) )).
% 12.21/12.46 cnf(matrix-6067, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13500), _u13504)) )).
% 12.21/12.46 cnf(matrix-6068, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | ( _u13504 != c_Orderings_Obot__class_Obot(tc_fun(_u13500, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6069, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | ~hBOOL(hAPP(hAPP(c_member(_u13500), _u13493), _u13502)) | hBOOL(hAPP(hAPP(c_member(_u13500), skolem329(_u13506, _u13504, _u13502, _u13500, _u13493)), _u13504)) )).
% 12.21/12.46 cnf(matrix-6070, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13500, tc_HOL_Obool), tc_fun(_u13500, tc_HOL_Obool)), _u13502), _u13504)), c_Wellfounded_Omax__ext(_u13500, _u13506))) | ~hBOOL(hAPP(hAPP(c_member(_u13500), _u13493), _u13502)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13500, _u13500)), hAPP(hAPP(c_Product__Type_OPair(_u13500, _u13500), _u13493), skolem329(_u13506, _u13504, _u13502, _u13500, _u13493))), _u13506)) )).
% 12.21/12.46 cnf(matrix-6071, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool)), _u13503), _u13505)), c_Wellfounded_Omax__ext(_u13501, _u13507))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13503)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13505)) | ( _u13505 = c_Orderings_Obot__class_Obot(tc_fun(_u13501, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13501), skolem330(_u13507, _u13505, _u13503, _u13501)), _u13503)) )).
% 12.21/12.46 cnf(matrix-6072, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13501, tc_HOL_Obool), tc_fun(_u13501, tc_HOL_Obool)), _u13503), _u13505)), c_Wellfounded_Omax__ext(_u13501, _u13507))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13503)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13501), _u13505)) | ( _u13505 = c_Orderings_Obot__class_Obot(tc_fun(_u13501, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13501), _u13494), _u13505)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13501, _u13501)), hAPP(hAPP(c_Product__Type_OPair(_u13501, _u13501), skolem330(_u13507, _u13505, _u13503, _u13501)), _u13494)), _u13507)) )).
% 12.21/12.46 cnf(matrix-6073, plain, ( ~hBOOL(hAPP(_u13510, _u13511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13511), _u13509)) | hBOOL(hAPP(_u13510, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem331(_u13511, _u13510, _u13509)), _u13509)) )).
% 12.21/12.46 cnf(matrix-6074, plain, ( ~hBOOL(hAPP(_u13510, _u13511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13511), _u13509)) | hBOOL(hAPP(_u13510, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u13510, skolem331(_u13511, _u13510, _u13509))) )).
% 12.21/12.46 cnf(matrix-6075, plain, ( ~hBOOL(hAPP(_u13510, _u13511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13511), _u13509)) | hBOOL(hAPP(_u13510, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u13510, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem331(_u13511, _u13510, _u13509)), _u13509))) )).
% 12.21/12.46 cnf(matrix-6076, plain, ( ~class_Groups_Oab__semigroup__mult(_u13513) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13514), _u13515)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13516), _u13518), _u13515) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13517), _u13518), _u13515)) | hBOOL(hAPP(hAPP(c_member(_u13514), skolem332(_u13518, _u13517, _u13516, _u13515, _u13514, _u13513)), _u13515)) )).
% 12.21/12.46 cnf(matrix-6077, plain, ( ~class_Groups_Oab__semigroup__mult(_u13513) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13514), _u13515)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13516), _u13518), _u13515) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13513, _u13514, c_Groups_Otimes__class_Otimes(_u13513)), _u13517), _u13518), _u13515)) | ( hAPP(_u13516, skolem332(_u13518, _u13517, _u13516, _u13515, _u13514, _u13513)) != hAPP(_u13517, skolem332(_u13518, _u13517, _u13516, _u13515, _u13514, _u13513))) )).
% 12.21/12.46 cnf(matrix-6078, plain, ( ~class_Orderings_Olinorder(_u13520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13520), _u13521)) | ~hBOOL(hAPP(hAPP(c_member(_u13520), _u13522), _u13521)) | ( c_Big__Operators_Olinorder__class_OMin(_u13520, _u13521) = _u13522) | hBOOL(hAPP(hAPP(c_member(_u13520), skolem333(_u13522, _u13521, _u13520)), _u13521)) )).
% 12.21/12.46 cnf(matrix-6079, plain, ( ~class_Orderings_Olinorder(_u13520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13520), _u13521)) | ~hBOOL(hAPP(hAPP(c_member(_u13520), _u13522), _u13521)) | ( c_Big__Operators_Olinorder__class_OMin(_u13520, _u13521) = _u13522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13520), _u13522), skolem333(_u13522, _u13521, _u13520))) )).
% 12.21/12.46 cnf(matrix-6080, plain, ( ~class_Orderings_Olinorder(_u13524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13524), _u13525)) | ~hBOOL(hAPP(hAPP(c_member(_u13524), _u13526), _u13525)) | ( c_Big__Operators_Olinorder__class_OMax(_u13524, _u13525) = _u13526) | hBOOL(hAPP(hAPP(c_member(_u13524), skolem334(_u13526, _u13525, _u13524)), _u13525)) )).
% 12.21/12.46 cnf(matrix-6081, plain, ( ~class_Orderings_Olinorder(_u13524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13524), _u13525)) | ~hBOOL(hAPP(hAPP(c_member(_u13524), _u13526), _u13525)) | ( c_Big__Operators_Olinorder__class_OMax(_u13524, _u13525) = _u13526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13524), skolem334(_u13526, _u13525, _u13524)), _u13526)) )).
% 12.21/12.46 cnf(matrix-6082, plain, ( ~c_Wellfounded_Owf(_u13528, _u13529) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13528, _u13528)), hAPP(hAPP(c_Product__Type_OPair(_u13528, _u13528), hAPP(_u13530, hAPP(c_Nat_OSuc, skolem335(_u13530, _u13529, _u13528)))), hAPP(_u13530, skolem335(_u13530, _u13529, _u13528)))), _u13529)) )).
% 12.21/12.46 cnf(matrix-6083, plain, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ( _u13537 != hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13534, _u13532), _u13539), _u13537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), _u13538), _u13536)) | hBOOL(hAPP(hAPP(c_member(_u13533), skolem336(_u13539, _u13538, _u13537, _u13536, _u13535, _u13534, _u13533, _u13532)), _u13536)) )).
% 12.21/12.46 cnf(matrix-6084, plain, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ( _u13537 != hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13534, _u13532), _u13539), _u13537) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), _u13538), _u13536)) | ( hAPP(_u13538, skolem336(_u13539, _u13538, _u13537, _u13536, _u13535, _u13534, _u13533, _u13532)) != hAPP(_u13539, hAPP(_u13535, skolem336(_u13539, _u13538, _u13537, _u13536, _u13535, _u13534, _u13533, _u13532)))) )).
% 12.21/12.46 cnf(matrix-6085, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13540, _u13541, _u13542, _u13543), _u13544), _u13545), _u13546) = hAPP(hAPP(_u13545, hAPP(c_Product__Type_Ofst(_u13541, _u13542), hAPP(_u13544, _u13546))), hAPP(c_Product__Type_Osnd(_u13541, _u13542), hAPP(_u13544, _u13546)))) )).
% 12.21/12.46 cnf(matrix-6086, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13547, _u13548, _u13549, _u13550), hAPP(hAPP(c_Product__Type_Oscomp(_u13547, _u13551, _u13552, tc_prod(_u13548, _u13549)), _u13553), _u13554)), _u13555) = hAPP(hAPP(c_Product__Type_Oscomp(_u13547, _u13551, _u13552, _u13550), _u13553), hAPP(hAPP(c_COMBC(_u13551, tc_fun(_u13548, tc_fun(_u13549, _u13550)), tc_fun(_u13552, _u13550)), hAPP(hAPP(c_COMBB(tc_fun(_u13552, tc_prod(_u13548, _u13549)), tc_fun(tc_fun(_u13548, tc_fun(_u13549, _u13550)), tc_fun(_u13552, _u13550)), _u13551), c_Product__Type_Oscomp(_u13552, _u13548, _u13549, _u13550)), _u13554)), _u13555))) )).
% 12.21/12.46 cnf(matrix-6087, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13556, _u13557, _u13558, tc_prod(_u13557, _u13558)), _u13559), c_Product__Type_OPair(_u13557, _u13558)) = _u13559) )).
% 12.21/12.46 cnf(matrix-6088, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13560, _u13561, _u13560, _u13562), hAPP(c_Product__Type_OPair(_u13561, _u13560), _u13563)), _u13564) = hAPP(_u13564, _u13563)) )).
% 12.21/12.46 cnf(matrix-6089, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13565, _u13566, _u13567, _u13568), _u13569), _u13570), _u13571) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13566, _u13567, _u13568), _u13570), hAPP(_u13569, _u13571))) )).
% 12.21/12.46 cnf(matrix-6090, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13572, _u13573, _u13574, _u13575), _u13576), _u13577), _u13578) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13573, _u13574, _u13575), _u13577), hAPP(_u13576, _u13578))) )).
% 12.21/12.46 cnf(matrix-6091, plain, ( ( _u13584 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13586, _u13588, _u13584, _u13590), _u13592) = hAPP(c_Product__Type_OPair(_u13586, _u13588), _u13592)) )).
% 12.21/12.46 cnf(matrix-6092, plain, ( ( _u13585 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13587, _u13589, _u13585, _u13591), _u13593) = hAPP(hAPP(c_Product__Type_Oscomp(_u13589, _u13587, _u13589, tc_prod(_u13587, _u13589)), hAPP(_u13591, _u13593)), c_Random_Oiterate(_u13587, _u13589, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13585), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u13591))) )).
% 12.21/12.46 cnf(matrix-6093, plain, ( ~class_Groups_Ocomm__monoid__add(_u13595) | ~class_Orderings_Oord(_u13596) | ( _u13597 != _u13598) | ( _u13599 != _u13600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13601), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13597), _u13599)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13602), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13598), _u13600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13596), _u13598), skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595))) )).
% 12.21/12.46 cnf(matrix-6094, plain, ( ~class_Groups_Ocomm__monoid__add(_u13595) | ~class_Orderings_Oord(_u13596) | ( _u13597 != _u13598) | ( _u13599 != _u13600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13601), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13597), _u13599)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13602), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13598), _u13600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13596), skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595)), _u13600)) )).
% 12.21/12.46 cnf(matrix-6095, plain, ( ~class_Groups_Ocomm__monoid__add(_u13595) | ~class_Orderings_Oord(_u13596) | ( _u13597 != _u13598) | ( _u13599 != _u13600) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13601), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13597), _u13599)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13596, _u13595), _u13602), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13596, _u13598), _u13600))) | ( hAPP(_u13601, skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595)) != hAPP(_u13602, skolem337(_u13602, _u13601, _u13600, _u13599, _u13598, _u13597, _u13596, _u13595))) )).
% 12.21/12.46 cnf(matrix-6096, 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), _u13605), _u13607)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13605), _u13607)) )).
% 12.21/12.46 cnf(matrix-6097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13606), _u13608)) | 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), _u13606), _u13608)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.21/12.46 cnf(matrix-6098, plain, ( ~c_Wellfounded_Owf(_u13609, _u13610) | c_Wellfounded_Owf(_u13609, c_Transitive__Closure_Otrancl(_u13609, _u13610)) )).
% 12.21/12.46 cnf(matrix-6099, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.21/12.46 cnf(matrix-6100, plain, ( ~c_Wellfounded_Oacyclic(_u13615, _u13617) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13615, _u13615)), hAPP(hAPP(c_Product__Type_OPair(_u13615, _u13615), _u13611), _u13611)), c_Transitive__Closure_Otrancl(_u13615, _u13617))) )).
% 12.21/12.46 cnf(matrix-6101, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13616, _u13616)), hAPP(hAPP(c_Product__Type_OPair(_u13616, _u13616), skolem338(_u13618, _u13616)), skolem338(_u13618, _u13616))), c_Transitive__Closure_Otrancl(_u13616, _u13618))) | c_Wellfounded_Oacyclic(_u13616, _u13618) )).
% 12.21/12.46 cnf(matrix-6102, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13619, _u13619)), hAPP(hAPP(c_Product__Type_OPair(_u13619, _u13619), _u13620), _u13621)), _u13622)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13619, _u13619)), hAPP(hAPP(c_Product__Type_OPair(_u13619, _u13619), _u13620), _u13621)), c_Transitive__Closure_Otrancl(_u13619, _u13622))) )).
% 12.21/12.46 cnf(matrix-6103, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13623, _u13623), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13623, _u13624)), hAPP(hAPP(c_Product__Type_OSigma(_u13623, _u13623), hAPP(c_Relation_OField(_u13623), _u13624)), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13623), hAPP(c_Relation_OField(_u13623), _u13624))))) )).
% 12.21/12.46 cnf(matrix-6104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), _u13626), _u13627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13625, _u13625, _u13625), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13625, _u13626)), _u13627)), _u13626)), _u13627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13625, _u13625), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13625, _u13626)), _u13627)) )).
% 12.21/12.46 cnf(matrix-6105, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13628, _u13628)), _u13629), _u13630)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13628, _u13628)), _u13629), c_Transitive__Closure_Otrancl(_u13628, _u13630))) )).
% 12.21/12.46 cnf(matrix-6106, plain, ( ( c_Transitive__Closure_Otrancl(_u13631, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13631, _u13631), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13631, _u13631), tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6107, plain, ( ( hAPP(c_Relation_ODomain(_u13632, _u13632), c_Transitive__Closure_Otrancl(_u13632, _u13633)) = hAPP(c_Relation_ODomain(_u13632, _u13632), _u13633)) )).
% 12.21/12.46 cnf(matrix-6108, plain, ( ( hAPP(c_Relation_ORange(_u13634, _u13634), c_Transitive__Closure_Otrancl(_u13634, _u13635)) = hAPP(c_Relation_ORange(_u13634, _u13634), _u13635)) )).
% 12.21/12.46 cnf(matrix-6109, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13638, _u13638)), c_Transitive__Closure_Otrancl(_u13638, _u13640))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13638, _u13638)), _u13640)) )).
% 12.21/12.46 cnf(matrix-6110, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13639, _u13639)), _u13641)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13639, _u13639)), c_Transitive__Closure_Otrancl(_u13639, _u13641))) )).
% 12.21/12.46 cnf(matrix-6111, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13642, _u13642)), hAPP(hAPP(c_Product__Type_OPair(_u13642, _u13642), _u13643), _u13644)), c_Transitive__Closure_Otrancl(_u13642, _u13645))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13642, _u13642)), hAPP(hAPP(c_Product__Type_OPair(_u13642, _u13642), _u13644), _u13646)), c_Transitive__Closure_Otrancl(_u13642, _u13645))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13642, _u13642)), hAPP(hAPP(c_Product__Type_OPair(_u13642, _u13642), _u13643), _u13646)), c_Transitive__Closure_Otrancl(_u13642, _u13645))) )).
% 12.21/12.46 cnf(matrix-6112, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13647, _u13647)), hAPP(hAPP(c_Product__Type_OPair(_u13647, _u13647), _u13648), _u13649)), c_Transitive__Closure_Otrancl(_u13647, _u13650))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13647, _u13647)), hAPP(hAPP(c_Product__Type_OPair(_u13647, _u13647), _u13649), _u13651)), _u13650)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13647, _u13647)), hAPP(hAPP(c_Product__Type_OPair(_u13647, _u13647), _u13648), _u13651)), c_Transitive__Closure_Otrancl(_u13647, _u13650))) )).
% 12.21/12.46 cnf(matrix-6113, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13652, _u13652)), hAPP(hAPP(c_Product__Type_OPair(_u13652, _u13652), _u13653), _u13654)), _u13655)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13652, _u13652)), hAPP(hAPP(c_Product__Type_OPair(_u13652, _u13652), _u13654), _u13656)), c_Transitive__Closure_Otrancl(_u13652, _u13655))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13652, _u13652)), hAPP(hAPP(c_Product__Type_OPair(_u13652, _u13652), _u13653), _u13656)), c_Transitive__Closure_Otrancl(_u13652, _u13655))) )).
% 12.21/12.46 cnf(matrix-6114, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13657, _u13657)), hAPP(hAPP(c_Product__Type_OPair(_u13657, _u13657), _u13658), _u13659)), _u13660)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13657, _u13657)), hAPP(hAPP(c_Product__Type_OPair(_u13657, _u13657), _u13659), _u13661)), _u13660)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13657, _u13657)), hAPP(hAPP(c_Product__Type_OPair(_u13657, _u13657), _u13658), _u13661)), c_Transitive__Closure_Otrancl(_u13657, _u13660))) )).
% 12.21/12.46 cnf(matrix-6115, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13662, _u13662)), _u13663), c_Transitive__Closure_Otrancl(_u13662, _u13664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13662, _u13662), tc_HOL_Obool)), _u13664), _u13665)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13662, _u13662)), _u13663), c_Transitive__Closure_Otrancl(_u13662, _u13665))) )).
% 12.21/12.46 cnf(matrix-6116, plain, ( ( c_Transitive__Closure_Otrancl(_u13666, _u13667) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13666, _u13666), tc_HOL_Obool)), _u13667), hAPP(hAPP(c_Relation_Orel__comp(_u13666, _u13666, _u13666), c_Transitive__Closure_Otrancl(_u13666, _u13667)), _u13667))) )).
% 12.21/12.46 cnf(matrix-6117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13668, _u13668), tc_HOL_Obool)), _u13669), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13668), _u13670), hAPP(c_COMBK(tc_fun(_u13668, tc_HOL_Obool), _u13668), _u13670)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13668, _u13668), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13668, _u13669)), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13668), _u13670), hAPP(c_COMBK(tc_fun(_u13668, tc_HOL_Obool), _u13668), _u13670)))) )).
% 12.21/12.46 cnf(matrix-6118, plain, ( ( c_Random_Olog(_u13673, _u13675) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u13673), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.21/12.46 cnf(matrix-6119, plain, ( ( c_Random_Olog(_u13673, _u13675) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13675), _u13673)) )).
% 12.21/12.46 cnf(matrix-6120, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u13674), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13676), _u13674)) | ( c_Random_Olog(_u13674, _u13676) = 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(_u13674, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u13676), _u13674)))) )).
% 12.21/12.46 cnf(matrix-6121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13680), _u13682)) | ( c_Random_Ominus__shift(_u13684, _u13680, _u13682) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u13684), _u13680)), _u13682)) )).
% 12.21/12.46 cnf(matrix-6122, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13681), _u13683)) | ( c_Random_Ominus__shift(_u13685, _u13681, _u13683) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13681), _u13683)) )).
% 12.21/12.46 cnf(matrix-6123, plain, ( ( _u13688 != _u13690) | ( c_Random_Oinc__shift(_u13688, _u13690) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.46 cnf(matrix-6124, plain, ( ( _u13689 = _u13691) | ( c_Random_Oinc__shift(_u13689, _u13691) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u13691), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.21/12.46 cnf(matrix-6125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u13692)) | 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(_u13692), _u13693))), _u13692)) )).
% 12.21/12.46 cnf(matrix-6126, plain, ( ( c_Transitive__Closure_Otrancl(_u13694, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13694, _u13694)), hAPP(hAPP(c_Product__Type_OPair(_u13694, _u13694), _u13695), _u13696)), _u13697)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13694, _u13697)), hAPP(c_Set_OCollect(tc_prod(_u13694, _u13694)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13694, _u13694, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13694, tc_fun(_u13694, tc_HOL_Obool), tc_fun(_u13694, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13694, tc_HOL_Obool), tc_fun(_u13694, tc_HOL_Obool)), _u13694), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13694)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13694), c_fconj), hAPP(hAPP(c_COMBC(_u13694, tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13694, _u13694), tc_fun(tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), _u13694), c_member(tc_prod(_u13694, _u13694))), hAPP(hAPP(c_COMBC(_u13694, _u13694, tc_prod(_u13694, _u13694)), c_Product__Type_OPair(_u13694, _u13694)), _u13695))), c_Transitive__Closure_Ortrancl(_u13694, _u13697))))), hAPP(hAPP(c_COMBC(_u13694, tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13694, _u13694), tc_fun(tc_fun(tc_prod(_u13694, _u13694), tc_HOL_Obool), tc_HOL_Obool), _u13694), c_member(tc_prod(_u13694, _u13694))), hAPP(c_Product__Type_OPair(_u13694, _u13694), _u13696))), c_Transitive__Closure_Ortrancl(_u13694, _u13697))))))) )).
% 12.21/12.46 cnf(matrix-6127, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13702, tc_fun(_u13702, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13702, tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_fun(_u13702, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13702, tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_fun(_u13702, tc_HOL_Obool)), _u13702), c_COMBC(_u13702, tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13702, tc_prod(_u13702, _u13702)), tc_fun(_u13702, tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool)), _u13702), hAPP(c_COMBB(tc_prod(_u13702, _u13702), tc_fun(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool), tc_HOL_Obool), _u13702), c_member(tc_prod(_u13702, _u13702)))), c_Product__Type_OPair(_u13702, _u13702)))), _u13704)), c_fequal), _u13706), _u13708)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13702, _u13702)), hAPP(hAPP(c_Product__Type_OPair(_u13702, _u13702), _u13706), _u13708)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13702, _u13702), tc_HOL_Obool)), _u13704), c_Relation_OId(_u13702)))) )).
% 12.21/12.46 cnf(matrix-6128, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13703, _u13703)), hAPP(hAPP(c_Product__Type_OPair(_u13703, _u13703), _u13707), _u13709)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool)), _u13705), c_Relation_OId(_u13703)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13703, tc_fun(_u13703, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13703, tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_fun(_u13703, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13703, tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_fun(_u13703, tc_HOL_Obool)), _u13703), c_COMBC(_u13703, tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13703, tc_prod(_u13703, _u13703)), tc_fun(_u13703, tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool)), _u13703), hAPP(c_COMBB(tc_prod(_u13703, _u13703), tc_fun(tc_fun(tc_prod(_u13703, _u13703), tc_HOL_Obool), tc_HOL_Obool), _u13703), c_member(tc_prod(_u13703, _u13703)))), c_Product__Type_OPair(_u13703, _u13703)))), _u13705)), c_fequal), _u13707), _u13709)) )).
% 12.21/12.46 cnf(matrix-6129, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13710, _u13710)), _u13711), _u13712)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13710, _u13710)), _u13711), c_Transitive__Closure_Ortrancl(_u13710, _u13712))) )).
% 12.21/12.46 cnf(matrix-6130, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13713, _u13713)), hAPP(hAPP(c_Product__Type_OPair(_u13713, _u13713), _u13714), _u13714)), c_Transitive__Closure_Ortrancl(_u13713, _u13715))) )).
% 12.21/12.46 cnf(matrix-6131, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13716, _u13716)), hAPP(hAPP(c_Product__Type_OPair(_u13716, _u13716), _u13717), _u13717)), c_Relation_OId(_u13716))) )).
% 12.21/12.46 cnf(matrix-6132, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13718, _u13718)), hAPP(hAPP(c_Product__Type_OPair(_u13718, _u13718), _u13719), _u13720)), c_Transitive__Closure_Otrancl(_u13718, _u13721))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13718, _u13718)), hAPP(hAPP(c_Product__Type_OPair(_u13718, _u13718), _u13719), _u13720)), c_Transitive__Closure_Ortrancl(_u13718, _u13721))) )).
% 12.21/12.46 cnf(matrix-6133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13722, _u13722), tc_HOL_Obool)), _u13723), _u13724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13722, _u13722), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13722, _u13723)), c_Transitive__Closure_Ortrancl(_u13722, _u13724))) )).
% 12.21/12.46 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13725, _u13725), tc_HOL_Obool)), _u13726), _u13727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13725, _u13725), tc_HOL_Obool)), _u13727), c_Transitive__Closure_Ortrancl(_u13725, _u13726))) | ( c_Transitive__Closure_Ortrancl(_u13725, _u13727) = c_Transitive__Closure_Ortrancl(_u13725, _u13726)) )).
% 12.21/12.46 cnf(matrix-6135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13728, _u13728), tc_HOL_Obool)), _u13729), c_Transitive__Closure_Ortrancl(_u13728, _u13730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13728, _u13728), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13728, _u13729)), c_Transitive__Closure_Ortrancl(_u13728, _u13730))) )).
% 12.21/12.46 cnf(matrix-6136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13731, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13731, _u13731, _u13732), _u13733)), _u13733)) | ( hAPP(c_Relation_OImage(_u13731, _u13731, c_Transitive__Closure_Ortrancl(_u13731, _u13732)), _u13733) = _u13733) )).
% 12.21/12.46 cnf(matrix-6137, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13734, _u13734), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13734, _u13734), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13734, _u13735)), c_Transitive__Closure_Ortrancl(_u13734, _u13736))), c_Transitive__Closure_Ortrancl(_u13734, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13734, _u13734), tc_HOL_Obool)), _u13735), _u13736)))) )).
% 12.21/12.46 cnf(matrix-6138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), c_Relation_OId(_u13737)), _u13738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13737, _u13737, _u13737), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13737, _u13739)), _u13738)), _u13739)), _u13738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13737, _u13737), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13737, _u13739)), _u13738)) )).
% 12.21/12.46 cnf(matrix-6139, plain, ( ( hAPP(c_Relation_OImage(_u13740, _u13740, c_Relation_OId(_u13740)), _u13741) = _u13741) )).
% 12.21/12.46 cnf(matrix-6140, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13742, _u13742, _u13743), c_Relation_OId(_u13742)), _u13744) = _u13744) )).
% 12.21/12.46 cnf(matrix-6141, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13745, _u13746, _u13746), _u13747), c_Relation_OId(_u13746)) = _u13747) )).
% 12.21/12.46 cnf(matrix-6142, plain, ( c_Relation_Orefl__on(_u13748, c_Orderings_Otop__class_Otop(tc_fun(_u13748, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13748, _u13749)) )).
% 12.21/12.46 cnf(matrix-6143, plain, ( ( c_Transitive__Closure_Ortrancl(_u13750, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13750, _u13750), tc_HOL_Obool)), _u13751), c_Relation_OId(_u13750))) = c_Transitive__Closure_Ortrancl(_u13750, _u13751)) )).
% 12.21/12.46 cnf(matrix-6144, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13752, _u13752, _u13752), _u13753), c_Transitive__Closure_Ortrancl(_u13752, _u13753)) = hAPP(hAPP(c_Relation_Orel__comp(_u13752, _u13752, _u13752), c_Transitive__Closure_Ortrancl(_u13752, _u13753)), _u13753)) )).
% 12.21/12.46 cnf(matrix-6145, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13754, _u13754, _u13754), c_Transitive__Closure_Ortrancl(_u13754, _u13755)), c_Transitive__Closure_Ortrancl(_u13754, _u13755)) = c_Transitive__Closure_Ortrancl(_u13754, _u13755)) )).
% 12.21/12.46 cnf(matrix-6146, plain, ( ( c_Transitive__Closure_Ortrancl(_u13756, _u13757) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13756, _u13756), tc_HOL_Obool)), c_Relation_OId(_u13756)), hAPP(hAPP(c_Relation_Orel__comp(_u13756, _u13756, _u13756), c_Transitive__Closure_Ortrancl(_u13756, _u13757)), _u13757))) )).
% 12.21/12.46 cnf(matrix-6147, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13758, _u13758), tc_HOL_Obool)), _u13760), _u13761)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, _u13760))) )).
% 12.21/12.46 cnf(matrix-6148, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13758, _u13758), tc_HOL_Obool)), _u13760), _u13761)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13758, _u13758)), _u13759), c_Transitive__Closure_Ortrancl(_u13758, _u13761))) )).
% 12.21/12.46 cnf(matrix-6149, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13762, _u13762), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13762, _u13763)), c_Relation_OId(_u13762)) = c_Transitive__Closure_Ortrancl(_u13762, _u13763)) )).
% 12.21/12.46 cnf(matrix-6150, plain, ( ( c_Transitive__Closure_Ortrancl(_u13764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13764, _u13764), tc_HOL_Obool)), _u13765), c_Relation_OId(_u13764))) = c_Transitive__Closure_Ortrancl(_u13764, _u13765)) )).
% 12.21/12.46 cnf(matrix-6151, plain, ( ( c_Transitive__Closure_Ortrancl(_u13766, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13766, _u13766), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13766, _u13767)), c_Transitive__Closure_Ortrancl(_u13766, _u13768))) = c_Transitive__Closure_Ortrancl(_u13766, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13766, _u13766), tc_HOL_Obool)), _u13767), _u13768))) )).
% 12.21/12.46 cnf(matrix-6152, plain, ( ( c_Transitive__Closure_Ortrancl(_u13769, c_Transitive__Closure_Ortrancl(_u13769, _u13770)) = c_Transitive__Closure_Ortrancl(_u13769, _u13770)) )).
% 12.21/12.46 cnf(matrix-6153, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13771, _u13771)), hAPP(hAPP(c_Product__Type_OPair(_u13771, _u13771), _u13772), _u13773)), c_Transitive__Closure_Ortrancl(_u13771, _u13774))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13771, _u13771)), hAPP(hAPP(c_Product__Type_OPair(_u13771, _u13771), _u13773), _u13775)), c_Transitive__Closure_Ortrancl(_u13771, _u13774))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13771, _u13771)), hAPP(hAPP(c_Product__Type_OPair(_u13771, _u13771), _u13772), _u13775)), c_Transitive__Closure_Ortrancl(_u13771, _u13774))) )).
% 12.21/12.46 cnf(matrix-6154, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13776, _u13776)), hAPP(hAPP(c_Product__Type_OPair(_u13776, _u13776), _u13777), _u13778)), c_Transitive__Closure_Ortrancl(_u13776, _u13779))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13776, _u13776)), hAPP(hAPP(c_Product__Type_OPair(_u13776, _u13776), _u13778), _u13780)), _u13779)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13776, _u13776)), hAPP(hAPP(c_Product__Type_OPair(_u13776, _u13776), _u13777), _u13780)), c_Transitive__Closure_Ortrancl(_u13776, _u13779))) )).
% 12.21/12.46 cnf(matrix-6155, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13781, _u13781)), hAPP(hAPP(c_Product__Type_OPair(_u13781, _u13781), _u13782), _u13783)), _u13784)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13781, _u13781)), hAPP(hAPP(c_Product__Type_OPair(_u13781, _u13781), _u13783), _u13785)), c_Transitive__Closure_Ortrancl(_u13781, _u13784))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13781, _u13781)), hAPP(hAPP(c_Product__Type_OPair(_u13781, _u13781), _u13782), _u13785)), c_Transitive__Closure_Ortrancl(_u13781, _u13784))) )).
% 12.21/12.46 cnf(matrix-6156, plain, ( ( hAPP(c_Relation_ORange(_u13786, _u13786), c_Transitive__Closure_Ortrancl(_u13786, _u13787)) = c_Orderings_Otop__class_Otop(tc_fun(_u13786, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6157, plain, ( ( c_Transitive__Closure_Ortrancl(_u13788, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13788, _u13788), tc_HOL_Obool))) = c_Relation_OId(_u13788)) )).
% 12.21/12.46 cnf(matrix-6158, plain, ( ( hAPP(c_Relation_ODomain(_u13789, _u13789), c_Transitive__Closure_Ortrancl(_u13789, _u13790)) = c_Orderings_Otop__class_Otop(tc_fun(_u13789, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6159, plain, ( ( c_Transitive__Closure_Ortrancl(_u13791, c_Transitive__Closure_Otrancl(_u13791, _u13792)) = c_Transitive__Closure_Ortrancl(_u13791, _u13792)) )).
% 12.21/12.46 cnf(matrix-6160, plain, ( ( c_Transitive__Closure_Otrancl(_u13793, c_Transitive__Closure_Ortrancl(_u13793, _u13794)) = c_Transitive__Closure_Ortrancl(_u13793, _u13794)) )).
% 12.21/12.46 cnf(matrix-6161, plain, ( ( c_Transitive__Closure_Otrancl(_u13795, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13795, _u13795), tc_HOL_Obool)), _u13796), c_Relation_OId(_u13795))) = c_Transitive__Closure_Ortrancl(_u13795, _u13796)) )).
% 12.21/12.46 cnf(matrix-6162, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13797, _u13797), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13797, _u13798)), c_Relation_OId(_u13797)) = c_Transitive__Closure_Ortrancl(_u13797, _u13798)) )).
% 12.21/12.46 cnf(matrix-6163, plain, ( ( c_Transitive__Closure_Otrancl(_u13799, _u13800) = hAPP(hAPP(c_Relation_Orel__comp(_u13799, _u13799, _u13799), c_Transitive__Closure_Ortrancl(_u13799, _u13800)), _u13800)) )).
% 12.21/12.46 cnf(matrix-6164, plain, ( ( c_Transitive__Closure_Otrancl(_u13801, _u13802) = hAPP(hAPP(c_Relation_Orel__comp(_u13801, _u13801, _u13801), _u13802), c_Transitive__Closure_Ortrancl(_u13801, _u13802))) )).
% 12.21/12.46 cnf(matrix-6165, plain, ( ( _u13808 = _u13810) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13806, _u13806)), hAPP(hAPP(c_Product__Type_OPair(_u13806, _u13806), _u13808), _u13810)), c_Relation_OId(_u13806))) )).
% 12.21/12.46 cnf(matrix-6166, plain, ( ( _u13809 != _u13811) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13807, _u13807)), hAPP(hAPP(c_Product__Type_OPair(_u13807, _u13807), _u13809), _u13811)), c_Relation_OId(_u13807))) )).
% 12.21/12.46 cnf(matrix-6167, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13813), _u13814)), c_Transitive__Closure_Ortrancl(_u13812, _u13815))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13814), _u13816)), c_Transitive__Closure_Otrancl(_u13812, _u13815))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13813), _u13816)), c_Transitive__Closure_Otrancl(_u13812, _u13815))) )).
% 12.21/12.46 cnf(matrix-6168, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), _u13818), _u13819)), c_Transitive__Closure_Otrancl(_u13817, _u13820))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), _u13819), _u13821)), c_Transitive__Closure_Ortrancl(_u13817, _u13820))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13817, _u13817)), hAPP(hAPP(c_Product__Type_OPair(_u13817, _u13817), _u13818), _u13821)), c_Transitive__Closure_Otrancl(_u13817, _u13820))) )).
% 12.21/12.46 cnf(matrix-6169, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13823), _u13824)), c_Transitive__Closure_Ortrancl(_u13822, _u13825))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13824), _u13826)), _u13825)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13823), _u13826)), c_Transitive__Closure_Otrancl(_u13822, _u13825))) )).
% 12.21/12.46 cnf(matrix-6170, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13827, _u13827)), hAPP(hAPP(c_Product__Type_OPair(_u13827, _u13827), _u13828), _u13829)), c_Transitive__Closure_Ortrancl(_u13827, _u13830))) | ( _u13828 = _u13829) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13827, _u13827)), hAPP(hAPP(c_Product__Type_OPair(_u13827, _u13827), _u13828), _u13829)), c_Transitive__Closure_Otrancl(_u13827, _u13830))) )).
% 12.21/12.46 cnf(matrix-6171, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13831, _u13831)), hAPP(hAPP(c_Product__Type_OPair(_u13831, _u13831), _u13832), _u13833)), _u13834)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13831, _u13831)), hAPP(hAPP(c_Product__Type_OPair(_u13831, _u13831), _u13833), _u13835)), c_Transitive__Closure_Ortrancl(_u13831, _u13834))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13831, _u13831)), hAPP(hAPP(c_Product__Type_OPair(_u13831, _u13831), _u13832), _u13835)), c_Transitive__Closure_Otrancl(_u13831, _u13834))) )).
% 12.21/12.46 cnf(matrix-6172, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13840, _u13840)), hAPP(hAPP(c_Product__Type_OPair(_u13840, _u13840), _u13842), _u13844)), c_Transitive__Closure_Ortrancl(_u13840, _u13846))) | ( _u13842 = _u13844) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13840, _u13840)), hAPP(hAPP(c_Product__Type_OPair(_u13840, _u13840), _u13842), _u13844)), c_Transitive__Closure_Otrancl(_u13840, _u13846))) )).
% 12.21/12.46 cnf(matrix-6173, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13841, _u13841)), hAPP(hAPP(c_Product__Type_OPair(_u13841, _u13841), _u13843), _u13845)), c_Transitive__Closure_Ortrancl(_u13841, _u13847))) | ( _u13843 != _u13845) )).
% 12.21/12.46 cnf(matrix-6174, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13841, _u13841)), hAPP(hAPP(c_Product__Type_OPair(_u13841, _u13841), _u13843), _u13845)), c_Transitive__Closure_Ortrancl(_u13841, _u13847))) | ( _u13843 = _u13845) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13841, _u13841)), hAPP(hAPP(c_Product__Type_OPair(_u13841, _u13841), _u13843), _u13845)), c_Transitive__Closure_Otrancl(_u13841, _u13847))) )).
% 12.21/12.46 cnf(matrix-6175, plain, ( ( hAPP(c_Relation_ODomain(_u13848, _u13848), c_Relation_OId(_u13848)) = c_Orderings_Otop__class_Otop(tc_fun(_u13848, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6176, plain, ( ( hAPP(c_Relation_ORange(_u13849, _u13849), c_Relation_OId(_u13849)) = c_Orderings_Otop__class_Otop(tc_fun(_u13849, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6177, plain, ( c_Relation_Orefl__on(_u13850, c_Orderings_Otop__class_Otop(tc_fun(_u13850, tc_HOL_Obool)), c_Relation_OId(_u13850)) )).
% 12.21/12.46 cnf(matrix-6178, plain, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.21/12.46 cnf(matrix-6179, plain, ( hBOOL(hAPP(hAPP(c_member(_u13851), _u13852), hAPP(c_Relation_ODomain(_u13851, _u13851), _u13853))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13851, _u13851)), hAPP(hAPP(c_Product__Type_OPair(_u13851, _u13851), _u13852), _u13854)), c_Transitive__Closure_Ortrancl(_u13851, _u13853))) | ( _u13852 = _u13854) )).
% 12.21/12.46 cnf(matrix-6180, plain, ( hBOOL(hAPP(hAPP(c_member(_u13851), _u13852), hAPP(c_Relation_ODomain(_u13851, _u13851), _u13853))) | ( _u13852 != _u13854) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13851, _u13851)), hAPP(hAPP(c_Product__Type_OPair(_u13851, _u13851), _u13852), _u13854)), c_Transitive__Closure_Ortrancl(_u13851, _u13853))) )).
% 12.21/12.46 cnf(matrix-6181, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13855, _u13855)), hAPP(hAPP(c_Product__Type_OPair(_u13855, _u13855), _u13856), _u13857)), c_Transitive__Closure_Ortrancl(_u13855, _u13858))) | ~hBOOL(hAPP(hAPP(c_member(_u13855), _u13857), c_Wellfounded_Oacc(_u13855, _u13858))) | hBOOL(hAPP(hAPP(c_member(_u13855), _u13856), c_Wellfounded_Oacc(_u13855, _u13858))) )).
% 12.21/12.46 cnf(matrix-6182, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13859), _u13860), c_Wellfounded_Oacc(_u13859, _u13861))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13859, _u13859)), hAPP(hAPP(c_Product__Type_OPair(_u13859, _u13859), _u13862), _u13860)), c_Transitive__Closure_Ortrancl(_u13859, _u13861))) | hBOOL(hAPP(hAPP(c_member(_u13859), _u13862), c_Wellfounded_Oacc(_u13859, _u13861))) )).
% 12.21/12.46 cnf(matrix-6183, plain, ( ~c_Wellfounded_Owf(_u13867, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13869), _u13871)), _u13873)) | c_Wellfounded_Owf(_u13867, _u13873) )).
% 12.21/12.46 cnf(matrix-6184, plain, ( ~c_Wellfounded_Owf(_u13867, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13869), _u13871)), _u13873)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13871), _u13869)), c_Transitive__Closure_Ortrancl(_u13867, _u13873))) )).
% 12.21/12.46 cnf(matrix-6185, plain, ( ~c_Wellfounded_Owf(_u13868, _u13874) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13868, _u13868)), hAPP(hAPP(c_Product__Type_OPair(_u13868, _u13868), _u13872), _u13870)), c_Transitive__Closure_Ortrancl(_u13868, _u13874))) | c_Wellfounded_Owf(_u13868, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13868, _u13868)), hAPP(hAPP(c_Product__Type_OPair(_u13868, _u13868), _u13870), _u13872)), _u13874)) )).
% 12.21/12.46 cnf(matrix-6186, plain, ( ~c_Wellfounded_Oacyclic(_u13879, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13879, _u13879)), hAPP(hAPP(c_Product__Type_OPair(_u13879, _u13879), _u13881), _u13883)), _u13885)) | c_Wellfounded_Oacyclic(_u13879, _u13885) )).
% 12.21/12.46 cnf(matrix-6187, plain, ( ~c_Wellfounded_Oacyclic(_u13879, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13879, _u13879)), hAPP(hAPP(c_Product__Type_OPair(_u13879, _u13879), _u13881), _u13883)), _u13885)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13879, _u13879)), hAPP(hAPP(c_Product__Type_OPair(_u13879, _u13879), _u13883), _u13881)), c_Transitive__Closure_Ortrancl(_u13879, _u13885))) )).
% 12.21/12.46 cnf(matrix-6188, plain, ( ~c_Wellfounded_Oacyclic(_u13880, _u13886) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), hAPP(hAPP(c_Product__Type_OPair(_u13880, _u13880), _u13884), _u13882)), c_Transitive__Closure_Ortrancl(_u13880, _u13886))) | c_Wellfounded_Oacyclic(_u13880, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13880, _u13880)), hAPP(hAPP(c_Product__Type_OPair(_u13880, _u13880), _u13882), _u13884)), _u13886)) )).
% 12.21/12.46 cnf(matrix-6189, plain, ( c_Relation_Orefl__on(_u13887, c_Orderings_Otop__class_Otop(tc_fun(_u13887, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13887, _u13887), tc_HOL_Obool)), _u13888), c_Relation_OId(_u13887))) )).
% 12.21/12.46 cnf(matrix-6190, plain, ( ( c_Relation_OId(_u13889) = hAPP(c_Set_OCollect(tc_prod(_u13889, _u13889)), hAPP(hAPP(c_COMBB(tc_fun(_u13889, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u13889, _u13889)), c_HOL_OEx(_u13889)), hAPP(hAPP(c_COMBC(tc_prod(_u13889, _u13889), tc_fun(_u13889, tc_prod(_u13889, _u13889)), tc_fun(_u13889, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13889, _u13889), tc_HOL_Obool), tc_fun(tc_fun(_u13889, tc_prod(_u13889, _u13889)), tc_fun(_u13889, tc_HOL_Obool)), tc_prod(_u13889, _u13889)), c_COMBB(tc_prod(_u13889, _u13889), tc_HOL_Obool, _u13889)), c_fequal)), hAPP(hAPP(c_COMBS(_u13889, _u13889, tc_prod(_u13889, _u13889)), c_Product__Type_OPair(_u13889, _u13889)), c_COMBI(_u13889)))))) )).
% 12.21/12.46 cnf(matrix-6191, plain, ( c_Relation_Oirrefl(_u13890, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13890, _u13890), tc_HOL_Obool)), _u13891), c_Relation_OId(_u13890))) )).
% 12.21/12.46 cnf(matrix-6192, 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), _u13894), _u13896)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13894), _u13896)) )).
% 12.21/12.46 cnf(matrix-6193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13895), _u13897)) | 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), _u13895), _u13897)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.21/12.46 cnf(matrix-6194, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13898, _u13898)), hAPP(hAPP(c_Product__Type_OPair(_u13898, _u13898), _u13899), _u13900)), c_Transitive__Closure_Ortrancl(_u13898, _u13901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13898, _u13898), tc_HOL_Obool)), _u13901), hAPP(hAPP(c_Product__Type_OSigma(_u13898, _u13898), _u13902), hAPP(c_COMBK(tc_fun(_u13898, tc_HOL_Obool), _u13898), _u13902)))) | ( _u13899 = _u13900) | hBOOL(hAPP(hAPP(c_member(_u13898), _u13899), _u13902)) )).
% 12.21/12.46 cnf(matrix-6195, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13903, _u13903), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u13903, _u13903), _u13904)), c_Transitive__Closure_Ortrancl(_u13903, _u13904)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13903, _u13903), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13903, _u13903)), hAPP(hAPP(c_Product__Type_OPair(_u13903, _u13903), _u13905), _u13905)), c_Transitive__Closure_Otrancl(_u13903, _u13904))) )).
% 12.21/12.46 cnf(matrix-6196, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13907, _u13907)), hAPP(hAPP(c_Product__Type_OPair(_u13907, _u13907), hAPP(_u13908, hAPP(c_Nat_OSuc, skolem339(_u13911, _u13910, _u13909, _u13908, _u13907)))), hAPP(_u13908, skolem339(_u13911, _u13910, _u13909, _u13908, _u13907)))), c_Transitive__Closure_Ortrancl(_u13907, _u13909))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13907, _u13907)), hAPP(hAPP(c_Product__Type_OPair(_u13907, _u13907), hAPP(_u13908, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u13910), _u13911))), hAPP(_u13908, _u13910))), c_Transitive__Closure_Ortrancl(_u13907, _u13909))) )).
% 12.21/12.46 cnf(matrix-6197, plain, ( ~c_Relation_Ototal__on(_u13915, _u13917, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13915, _u13915), tc_HOL_Obool)), _u13919), c_Relation_OId(_u13915))) | c_Relation_Ototal__on(_u13915, _u13917, _u13919) )).
% 12.21/12.46 cnf(matrix-6198, plain, ( ~c_Relation_Ototal__on(_u13916, _u13918, _u13920) | c_Relation_Ototal__on(_u13916, _u13918, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13916, _u13916), tc_HOL_Obool)), _u13920), c_Relation_OId(_u13916))) )).
% 12.21/12.46 cnf(matrix-6199, plain, ( ( hAPP(c_Relation_Oconverse(_u13921, _u13921), c_Relation_OId(_u13921)) = c_Relation_OId(_u13921)) )).
% 12.21/12.46 cnf(matrix-6200, plain, ( ( c_Transitive__Closure_Ortrancl(_u13922, hAPP(c_Relation_Oconverse(_u13922, _u13922), _u13923)) = hAPP(c_Relation_Oconverse(_u13922, _u13922), c_Transitive__Closure_Ortrancl(_u13922, _u13923))) )).
% 12.21/12.46 cnf(matrix-6201, plain, ( ( c_Transitive__Closure_Otrancl(_u13924, hAPP(c_Relation_Oconverse(_u13924, _u13924), _u13925)) = hAPP(c_Relation_Oconverse(_u13924, _u13924), c_Transitive__Closure_Otrancl(_u13924, _u13925))) )).
% 12.21/12.46 cnf(matrix-6202, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13931, _u13933)), hAPP(hAPP(c_Product__Type_OPair(_u13931, _u13933), _u13935), _u13937)), hAPP(c_Relation_Oconverse(_u13933, _u13931), _u13939))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13933, _u13931)), hAPP(hAPP(c_Product__Type_OPair(_u13933, _u13931), _u13937), _u13935)), _u13939)) )).
% 12.21/12.46 cnf(matrix-6203, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13932)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13932), _u13938), _u13936)), _u13940)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13932, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13932, _u13934), _u13936), _u13938)), hAPP(c_Relation_Oconverse(_u13934, _u13932), _u13940))) )).
% 12.21/12.46 cnf(matrix-6204, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13941, _u13942)), hAPP(hAPP(c_Product__Type_OPair(_u13941, _u13942), _u13943), _u13944)), _u13945)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13942, _u13941)), hAPP(hAPP(c_Product__Type_OPair(_u13942, _u13941), _u13944), _u13943)), hAPP(c_Relation_Oconverse(_u13941, _u13942), _u13945))) )).
% 12.21/12.46 cnf(matrix-6205, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13946, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13946, _u13947), _u13948), _u13949)), hAPP(c_Relation_Oconverse(_u13947, _u13946), _u13950))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13946)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13946), _u13949), _u13948)), _u13950)) )).
% 12.21/12.46 cnf(matrix-6206, plain, ( ~c_Relation_Orefl__on(_u13954, _u13956, hAPP(c_Relation_Oconverse(_u13954, _u13954), _u13958)) | c_Relation_Orefl__on(_u13954, _u13956, _u13958) )).
% 12.21/12.46 cnf(matrix-6207, plain, ( ~c_Relation_Orefl__on(_u13955, _u13957, _u13959) | c_Relation_Orefl__on(_u13955, _u13957, hAPP(c_Relation_Oconverse(_u13955, _u13955), _u13959)) )).
% 12.21/12.46 cnf(matrix-6208, plain, ( ( hAPP(c_Relation_Oconverse(_u13960, _u13961), hAPP(hAPP(c_Relation_Orel__comp(_u13960, _u13962, _u13961), _u13963), _u13964)) = hAPP(hAPP(c_Relation_Orel__comp(_u13961, _u13962, _u13960), hAPP(c_Relation_Oconverse(_u13962, _u13961), _u13964)), hAPP(c_Relation_Oconverse(_u13960, _u13962), _u13963))) )).
% 12.21/12.46 cnf(matrix-6209, plain, ( ( hAPP(c_Relation_Oconverse(_u13965, _u13966), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13965, _u13966), tc_HOL_Obool)), _u13967), _u13968)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13966, _u13965), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u13965, _u13966), _u13967)), hAPP(c_Relation_Oconverse(_u13965, _u13966), _u13968))) )).
% 12.21/12.46 cnf(matrix-6210, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13972, _u13974)), hAPP(c_Relation_Oconverse(_u13974, _u13972), _u13976))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13974, _u13972)), _u13976)) )).
% 12.21/12.46 cnf(matrix-6211, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13975, _u13973)), _u13977)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13973, _u13975)), hAPP(c_Relation_Oconverse(_u13975, _u13973), _u13977))) )).
% 12.21/12.46 cnf(matrix-6212, plain, ( ~c_Relation_Ototal__on(_u13981, _u13983, hAPP(c_Relation_Oconverse(_u13981, _u13981), _u13985)) | c_Relation_Ototal__on(_u13981, _u13983, _u13985) )).
% 12.21/12.46 cnf(matrix-6213, plain, ( ~c_Relation_Ototal__on(_u13982, _u13984, _u13986) | c_Relation_Ototal__on(_u13982, _u13984, hAPP(c_Relation_Oconverse(_u13982, _u13982), _u13986)) )).
% 12.21/12.46 cnf(matrix-6214, plain, ( ( hAPP(c_Relation_Oconverse(_u13987, _u13988), hAPP(c_Relation_Oconverse(_u13988, _u13987), _u13989)) = _u13989) )).
% 12.21/12.46 cnf(matrix-6215, plain, ( ( hAPP(c_Relation_OField(_u13990), hAPP(c_Relation_Oconverse(_u13990, _u13990), _u13991)) = hAPP(c_Relation_OField(_u13990), _u13991)) )).
% 12.21/12.46 cnf(matrix-6216, plain, ( ( hAPP(c_Relation_Oconverse(_u13992, _u13992), c_Relation_OId__on(_u13992, _u13993)) = c_Relation_OId__on(_u13992, _u13993)) )).
% 12.21/12.46 cnf(matrix-6217, plain, ( ( hAPP(c_Relation_Oconverse(_u13994, _u13995), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13994, _u13995), tc_HOL_Obool)), _u13996), _u13997)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13995, _u13994), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u13994, _u13995), _u13996)), hAPP(c_Relation_Oconverse(_u13994, _u13995), _u13997))) )).
% 12.21/12.46 cnf(matrix-6218, plain, ( ( hAPP(c_Relation_Oconverse(_u13998, _u13998), hAPP(hAPP(c_Relation_Oinv__image(_u13999, _u13998), _u14000), _u14001)) = hAPP(hAPP(c_Relation_Oinv__image(_u13999, _u13998), hAPP(c_Relation_Oconverse(_u13999, _u13999), _u14000)), _u14001)) )).
% 12.21/12.46 cnf(matrix-6219, plain, ( ( hAPP(c_Relation_Oconverse(_u14002, _u14003), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14004, tc_fun(tc_prod(_u14002, _u14003), tc_HOL_Obool)), _u14005), _u14006)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14004, tc_fun(tc_prod(_u14003, _u14002), tc_HOL_Obool)), _u14005), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14002, _u14003), tc_HOL_Obool), tc_fun(tc_prod(_u14003, _u14002), tc_HOL_Obool), _u14004), c_Relation_Oconverse(_u14002, _u14003)), _u14006))) )).
% 12.21/12.46 cnf(matrix-6220, plain, ( ~c_Wellfounded_Oacyclic(_u14009, hAPP(c_Relation_Oconverse(_u14009, _u14009), _u14011)) | c_Wellfounded_Oacyclic(_u14009, _u14011) )).
% 12.21/12.46 cnf(matrix-6221, plain, ( ~c_Wellfounded_Oacyclic(_u14010, _u14012) | c_Wellfounded_Oacyclic(_u14010, hAPP(c_Relation_Oconverse(_u14010, _u14010), _u14012)) )).
% 12.21/12.46 cnf(matrix-6222, plain, ( ~c_Wellfounded_Owf(_u14013, hAPP(c_Relation_Oconverse(_u14013, _u14013), _u14014)) | c_Wellfounded_Owf(_u14013, hAPP(c_Relation_Oconverse(_u14013, _u14013), c_Transitive__Closure_Otrancl(_u14013, _u14014))) )).
% 12.21/12.46 cnf(matrix-6223, plain, ( ~c_Equiv__Relations_Oequiv(_u14015, _u14016, _u14017) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14015, _u14015, _u14015), hAPP(c_Relation_Oconverse(_u14015, _u14015), _u14017)), _u14017) = _u14017) )).
% 12.21/12.46 cnf(matrix-6224, plain, ( ( hAPP(c_Relation_ORange(_u14018, _u14019), hAPP(c_Relation_Oconverse(_u14019, _u14018), _u14020)) = hAPP(c_Relation_ODomain(_u14019, _u14018), _u14020)) )).
% 12.21/12.46 cnf(matrix-6225, plain, ( ( hAPP(c_Relation_ODomain(_u14021, _u14022), hAPP(c_Relation_Oconverse(_u14022, _u14021), _u14023)) = hAPP(c_Relation_ORange(_u14022, _u14021), _u14023)) )).
% 12.21/12.46 cnf(matrix-6226, plain, ( ( hAPP(c_Relation_ORange(_u14024, _u14025), _u14026) = hAPP(c_Relation_ODomain(_u14025, _u14024), hAPP(c_Relation_Oconverse(_u14024, _u14025), _u14026))) )).
% 12.21/12.46 cnf(matrix-6227, plain, ( c_Relation_Ototal__on(_u14027, c_Orderings_Obot__class_Obot(tc_fun(_u14027, tc_HOL_Obool)), _u14028) )).
% 12.21/12.46 cnf(matrix-6228, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14029, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14029, _u14029), _u14030), _u14031)), c_Transitive__Closure_Ortrancl(_u14029, _u14032))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14029, _u14029)), hAPP(hAPP(c_Product__Type_OPair(_u14029, _u14029), _u14031), _u14030)), c_Transitive__Closure_Ortrancl(_u14029, hAPP(c_Relation_Oconverse(_u14029, _u14029), _u14032)))) )).
% 12.21/12.46 cnf(matrix-6229, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14033, _u14033)), hAPP(hAPP(c_Product__Type_OPair(_u14033, _u14033), _u14034), _u14035)), c_Transitive__Closure_Ortrancl(_u14033, hAPP(c_Relation_Oconverse(_u14033, _u14033), _u14036)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14033, _u14033)), hAPP(hAPP(c_Product__Type_OPair(_u14033, _u14033), _u14035), _u14034)), c_Transitive__Closure_Ortrancl(_u14033, _u14036))) )).
% 12.21/12.46 cnf(matrix-6230, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14037, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14037, _u14037), _u14038), _u14039)), c_Transitive__Closure_Otrancl(_u14037, hAPP(c_Relation_Oconverse(_u14037, _u14037), _u14040)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14037, _u14037)), hAPP(hAPP(c_Product__Type_OPair(_u14037, _u14037), _u14038), _u14039)), hAPP(c_Relation_Oconverse(_u14037, _u14037), c_Transitive__Closure_Otrancl(_u14037, _u14040)))) )).
% 12.21/12.46 cnf(matrix-6231, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14041, _u14041)), hAPP(hAPP(c_Product__Type_OPair(_u14041, _u14041), _u14042), _u14043)), hAPP(c_Relation_Oconverse(_u14041, _u14041), c_Transitive__Closure_Otrancl(_u14041, _u14044)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14041, _u14041)), hAPP(hAPP(c_Product__Type_OPair(_u14041, _u14041), _u14042), _u14043)), c_Transitive__Closure_Otrancl(_u14041, hAPP(c_Relation_Oconverse(_u14041, _u14041), _u14044)))) )).
% 12.21/12.46 cnf(matrix-6232, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14050, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14052, _u14050, _u14054), _u14056)), _u14058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14052, tc_HOL_Obool)), _u14056), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14052, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14050, _u14052, hAPP(c_Relation_Oconverse(_u14052, _u14050), _u14054)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14050, tc_HOL_Obool)), _u14058))))) )).
% 12.21/12.46 cnf(matrix-6233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14053, tc_HOL_Obool)), _u14057), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14053, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14051, _u14053, hAPP(c_Relation_Oconverse(_u14053, _u14051), _u14055)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14051, tc_HOL_Obool)), _u14059))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14053, _u14051, _u14055), _u14057)), _u14059)) )).
% 12.21/12.46 cnf(matrix-6234, plain, ( ~c_Relation_Orefl__on(_u14060, _u14061, _u14062) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14060, _u14060), tc_HOL_Obool)), _u14062), hAPP(hAPP(c_Relation_Orel__comp(_u14060, _u14060, _u14060), hAPP(c_Relation_Oconverse(_u14060, _u14060), _u14062)), _u14062))) )).
% 12.21/12.46 cnf(matrix-6235, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14063, _u14063, _u14063), hAPP(c_Relation_Oconverse(_u14063, _u14063), _u14064)), _u14064) != _u14064) | ( hAPP(c_Relation_ODomain(_u14063, _u14063), _u14064) != _u14065) | c_Equiv__Relations_Oequiv(_u14063, _u14065, _u14064) )).
% 12.21/12.46 cnf(matrix-6236, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14066, _u14066)), _u14067)) | ~c_Wellfounded_Oacyclic(_u14066, _u14067) | c_Wellfounded_Owf(_u14066, hAPP(c_Relation_Oconverse(_u14066, _u14066), _u14067)) )).
% 12.21/12.46 cnf(matrix-6237, plain, ( ~c_Relation_Ototal__on(_u14075, _u14077, _u14079) | ~hBOOL(hAPP(hAPP(c_member(_u14075), _u14069), _u14077)) | ~hBOOL(hAPP(hAPP(c_member(_u14075), _u14068), _u14077)) | ( _u14069 = _u14068) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14075, _u14075)), hAPP(hAPP(c_Product__Type_OPair(_u14075, _u14075), _u14069), _u14068)), _u14079)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14075, _u14075)), hAPP(hAPP(c_Product__Type_OPair(_u14075, _u14075), _u14068), _u14069)), _u14079)) )).
% 12.21/12.46 cnf(matrix-6238, plain, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | hBOOL(hAPP(hAPP(c_member(_u14076), skolem340(_u14080, _u14078, _u14076)), _u14078)) )).
% 12.21/12.46 cnf(matrix-6239, plain, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | hBOOL(hAPP(hAPP(c_member(_u14076), skolem341(_u14080, _u14078, _u14076)), _u14078)) )).
% 12.21/12.46 cnf(matrix-6240, plain, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | ( skolem340(_u14080, _u14078, _u14076) != skolem341(_u14080, _u14078, _u14076)) )).
% 12.21/12.46 cnf(matrix-6241, plain, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14076, _u14076)), hAPP(hAPP(c_Product__Type_OPair(_u14076, _u14076), skolem340(_u14080, _u14078, _u14076)), skolem341(_u14080, _u14078, _u14076))), _u14080)) )).
% 12.21/12.46 cnf(matrix-6242, plain, ( c_Relation_Ototal__on(_u14076, _u14078, _u14080) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14076, _u14076)), hAPP(hAPP(c_Product__Type_OPair(_u14076, _u14076), skolem341(_u14080, _u14078, _u14076)), skolem340(_u14080, _u14078, _u14076))), _u14080)) )).
% 12.21/12.46 cnf(matrix-6243, plain, ( ( hAPP(c_Relation_Oconverse(_u14081, _u14082), _u14083) = hAPP(c_Set_OCollect(tc_prod(_u14082, _u14081)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14082, _u14081, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14082, tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_fun(_u14081, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14081, tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_fun(_u14081, tc_HOL_Obool)), _u14082), c_COMBC(_u14081, tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14081, tc_prod(_u14081, _u14082)), tc_fun(_u14081, tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool)), _u14082), hAPP(c_COMBB(tc_prod(_u14081, _u14082), tc_fun(tc_fun(tc_prod(_u14081, _u14082), tc_HOL_Obool), tc_HOL_Obool), _u14081), c_member(tc_prod(_u14081, _u14082)))), hAPP(c_COMBC(_u14081, _u14082, tc_prod(_u14081, _u14082)), c_Product__Type_OPair(_u14081, _u14082))))), _u14083)))) )).
% 12.21/12.46 cnf(matrix-6244, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14084, _u14084)), _u14085), c_Transitive__Closure_Ortrancl(_u14084, _u14086))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14084, _u14084)), _u14085), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14084, _u14084), 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(_u14084, _u14084), tc_HOL_Obool), tc_fun(tc_prod(_u14084, _u14084), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14084, _u14084), tc_HOL_Obool)), _u14086)))) )).
% 12.21/12.46 cnf(matrix-6245, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14088, _u14088)), hAPP(hAPP(c_Product__Type_OPair(_u14088, _u14088), skolem342(_u14089, _u14088)), skolem342(_u14089, _u14088))), c_Transitive__Closure_Otrancl(_u14088, _u14089))) | c_Wellfounded_Oacyclic(_u14088, _u14089) )).
% 12.21/12.46 cnf(matrix-6246, plain, ( ~c_Relation_Osingle__valued(_u14090, _u14091, hAPP(c_Relation_Oconverse(_u14091, _u14090), _u14092)) | ( hAPP(c_Relation_OImage(_u14091, _u14090, _u14092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14091, tc_HOL_Obool)), _u14093), _u14094)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14090, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14091, _u14090, _u14092), _u14093)), hAPP(c_Relation_OImage(_u14091, _u14090, _u14092), _u14094))) )).
% 12.21/12.46 cnf(matrix-6247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14095, _u14096), tc_HOL_Obool)), _u14097), _u14098)) | ~c_Relation_Osingle__valued(_u14095, _u14096, _u14098) | c_Relation_Osingle__valued(_u14095, _u14096, _u14097) )).
% 12.21/12.46 cnf(matrix-6248, plain, ( ~c_Relation_Osingle__valued(_u14099, _u14100, _u14101) | ~c_Relation_Osingle__valued(_u14100, _u14102, _u14103) | c_Relation_Osingle__valued(_u14099, _u14102, hAPP(hAPP(c_Relation_Orel__comp(_u14099, _u14100, _u14102), _u14101), _u14103)) )).
% 12.21/12.46 cnf(matrix-6249, plain, ( ~c_Wellfounded_Owf(_u14104, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14104, _u14104), tc_HOL_Obool), _u14105), _u14106)) | c_Wellfounded_Owf(_u14104, _u14106) )).
% 12.21/12.46 cnf(matrix-6250, plain, ( ( hAPP(_u14107, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14108, _u14108), _u14109), _u14107), _u14110)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14108, _u14108), _u14109), _u14107), hAPP(_u14107, _u14110))) )).
% 12.21/12.46 cnf(matrix-6251, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14111, _u14111), _u14112), hAPP(hAPP(c_Nat_Ocompow(_u14111, _u14111), _u14113), _u14114)) = hAPP(hAPP(c_Nat_Ocompow(_u14111, _u14111), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14113), _u14112)), _u14114)) )).
% 12.21/12.46 cnf(matrix-6252, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14115, _u14116), tc_fun(_u14115, _u14116)), _u14117), c_Fun_Ocomp(_u14116, _u14116, _u14115, _u14118)) = c_Fun_Ocomp(_u14116, _u14116, _u14115, hAPP(hAPP(c_Nat_Ocompow(_u14116, _u14116), _u14117), _u14118))) )).
% 12.21/12.46 cnf(matrix-6253, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14119, _u14119, _u14119), _u14120), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14119, _u14119), tc_HOL_Obool), _u14121), _u14120)) = hAPP(hAPP(c_Relation_Orel__comp(_u14119, _u14119, _u14119), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14119, _u14119), tc_HOL_Obool), _u14121), _u14120)), _u14120)) )).
% 12.21/12.46 cnf(matrix-6254, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14122, _u14122), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14123) = _u14123) )).
% 12.21/12.46 cnf(matrix-6255, plain, ( ~c_Relation_Osingle__valued(_u14124, _u14124, _u14125) | c_Relation_Osingle__valued(_u14124, _u14124, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14124, _u14124), tc_HOL_Obool), _u14126), _u14125)) )).
% 12.21/12.46 cnf(matrix-6256, plain, ( c_Relation_Osingle__valued(_u14127, _u14127, c_Relation_OId(_u14127)) )).
% 12.21/12.46 cnf(matrix-6257, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), _u14129), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14128, _u14128), tc_HOL_Obool), _u14130), _u14131))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), _u14129), c_Transitive__Closure_Ortrancl(_u14128, _u14131))) )).
% 12.21/12.46 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14139), c_Transitive__Closure_Ortrancl(_u14137, _u14141))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14137, _u14137)), _u14139), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14137, _u14137), tc_HOL_Obool), skolem343(_u14141, _u14139, _u14137)), _u14141))) )).
% 12.21/12.46 cnf(matrix-6259, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14138, _u14138)), _u14140), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14138, _u14138), tc_HOL_Obool), _u14133), _u14142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14138, _u14138)), _u14140), c_Transitive__Closure_Ortrancl(_u14138, _u14142))) )).
% 12.21/12.46 cnf(matrix-6260, plain, ( c_Relation_Osingle__valued(_u14143, _u14143, c_Relation_OId__on(_u14143, _u14144)) )).
% 12.21/12.46 cnf(matrix-6261, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14145, _u14145), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14146)), _u14147) = hAPP(hAPP(c_Relation_Orel__comp(_u14145, _u14145, _u14145), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14145, _u14145), tc_HOL_Obool), _u14146), _u14147)), _u14147)) )).
% 12.21/12.46 cnf(matrix-6262, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14148, _u14148), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14149), _u14150)), _u14151) = hAPP(hAPP(c_Relation_Orel__comp(_u14148, _u14148, _u14148), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14148, _u14148), tc_HOL_Obool), _u14149), _u14151)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14148, _u14148), tc_HOL_Obool), _u14150), _u14151))) )).
% 12.21/12.46 cnf(matrix-6263, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14152, _u14152), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14153) = c_Relation_OId(_u14152)) )).
% 12.21/12.46 cnf(matrix-6264, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14154, _u14154)), hAPP(hAPP(c_Product__Type_OPair(_u14154, _u14154), _u14155), _u14155)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14154, _u14154), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14156))) )).
% 12.21/12.46 cnf(matrix-6265, plain, ( ( _u14158 = _u14159) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14157, _u14157)), hAPP(hAPP(c_Product__Type_OPair(_u14157, _u14157), _u14158), _u14159)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14157, _u14157), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14160))) )).
% 12.21/12.46 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14163)), _u14164)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14163), _u14165)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14161, _u14161), tc_HOL_Obool), _u14166), _u14164))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14161, _u14161)), hAPP(hAPP(c_Product__Type_OPair(_u14161, _u14161), _u14162), _u14165)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14161, _u14161), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14166)), _u14164))) )).
% 12.21/12.46 cnf(matrix-6267, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14167, _u14167)), hAPP(hAPP(c_Product__Type_OPair(_u14167, _u14167), _u14168), _u14169)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14167, _u14167), tc_HOL_Obool), _u14170), _u14171))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14167, _u14167)), hAPP(hAPP(c_Product__Type_OPair(_u14167, _u14167), _u14169), _u14172)), _u14171)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14167, _u14167)), hAPP(hAPP(c_Product__Type_OPair(_u14167, _u14167), _u14168), _u14172)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14167, _u14167), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14170)), _u14171))) )).
% 12.21/12.46 cnf(matrix-6268, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14173, _u14173), hAPP(c_Nat_OSuc, _u14174)), _u14175) = hAPP(c_Fun_Ocomp(_u14173, _u14173, _u14173, _u14175), hAPP(hAPP(c_Nat_Ocompow(_u14173, _u14173), _u14174), _u14175))) )).
% 12.21/12.46 cnf(matrix-6269, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14176, _u14176), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14177), _u14178)), _u14179) = hAPP(c_Fun_Ocomp(_u14176, _u14176, _u14176, hAPP(hAPP(c_Nat_Ocompow(_u14176, _u14176), _u14177), _u14179)), hAPP(hAPP(c_Nat_Ocompow(_u14176, _u14176), _u14178), _u14179))) )).
% 12.21/12.46 cnf(matrix-6270, plain, ( ~c_Relation_Osingle__valued(_u14189, _u14191, _u14193) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14191)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14191), _u14182), _u14181)), _u14193)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14191)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14191), _u14182), _u14180)), _u14193)) | ( _u14181 = _u14180) )).
% 12.21/12.46 cnf(matrix-6271, plain, ( c_Relation_Osingle__valued(_u14190, _u14192, _u14194) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14190, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14192), skolem344(_u14194, _u14192, _u14190)), skolem345(_u14194, _u14192, _u14190))), _u14194)) )).
% 12.21/12.46 cnf(matrix-6272, plain, ( c_Relation_Osingle__valued(_u14190, _u14192, _u14194) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14190, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14192), skolem344(_u14194, _u14192, _u14190)), skolem346(_u14194, _u14192, _u14190))), _u14194)) )).
% 12.21/12.46 cnf(matrix-6273, plain, ( c_Relation_Osingle__valued(_u14190, _u14192, _u14194) | ( skolem345(_u14194, _u14192, _u14190) != skolem346(_u14194, _u14192, _u14190)) )).
% 12.21/12.46 cnf(matrix-6274, plain, ( ~c_Relation_Osingle__valued(_u14195, _u14196, _u14197) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14195, _u14196)), hAPP(hAPP(c_Product__Type_OPair(_u14195, _u14196), _u14198), _u14199)), _u14197)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14195, _u14196)), hAPP(hAPP(c_Product__Type_OPair(_u14195, _u14196), _u14198), _u14200)), _u14197)) | ( _u14199 = _u14200) )).
% 12.21/12.46 cnf(matrix-6275, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14201, _u14201), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14202) = c_Fun_Oid(_u14201)) )).
% 12.21/12.46 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14208, _u14208)), _u14210), c_Transitive__Closure_Otrancl(_u14208, _u14212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem347(_u14212, _u14210, _u14208))) )).
% 12.21/12.46 cnf(matrix-6277, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14208, _u14208)), _u14210), c_Transitive__Closure_Otrancl(_u14208, _u14212))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14208, _u14208)), _u14210), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14208, _u14208), tc_HOL_Obool), skolem347(_u14212, _u14210, _u14208)), _u14212))) )).
% 12.21/12.46 cnf(matrix-6278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14204)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14209, _u14209)), _u14211), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14209, _u14209), tc_HOL_Obool), _u14204), _u14213))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14209, _u14209)), _u14211), c_Transitive__Closure_Otrancl(_u14209, _u14213))) )).
% 12.21/12.46 cnf(matrix-6279, plain, ( ( c_Transitive__Closure_Ortrancl(_u14214, _u14215) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14214, _u14214), 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(_u14214, _u14214), tc_HOL_Obool), tc_fun(tc_prod(_u14214, _u14214), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14214, _u14214), tc_HOL_Obool)), _u14215))) )).
% 12.21/12.46 cnf(matrix-6280, plain, ( ~c_Relation_Osingle__valued(_u14216, _u14216, _u14217) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14218), _u14219)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14218), _u14220)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14219), _u14220)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14216, _u14216)), hAPP(hAPP(c_Product__Type_OPair(_u14216, _u14216), _u14220), _u14219)), c_Transitive__Closure_Ortrancl(_u14216, _u14217))) )).
% 12.21/12.46 cnf(matrix-6281, plain, ( ( c_Nat_Ofunpow(_u14221) = c_Nat_Ocompow(_u14221, _u14221)) )).
% 12.21/12.46 cnf(matrix-6282, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14227 = hAPP(c_Nat_OSuc, skolem349(_u14228, _u14227, _u14226, _u14225, _u14224))) )).
% 12.21/12.46 cnf(matrix-6283, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), skolem349(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14228))) )).
% 12.21/12.46 cnf(matrix-6284, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14226)), _u14228)) )).
% 12.21/12.46 cnf(matrix-6285, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14225 = _u14226) | ( _u14227 = hAPP(c_Nat_OSuc, skolem349(_u14228, _u14227, _u14226, _u14225, _u14224))) )).
% 12.21/12.46 cnf(matrix-6286, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14225 = _u14226) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), skolem349(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14228))) )).
% 12.21/12.46 cnf(matrix-6287, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), _u14225), _u14226)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14224, _u14224), tc_HOL_Obool), _u14227), _u14228))) | ( _u14225 = _u14226) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14224, _u14224)), hAPP(hAPP(c_Product__Type_OPair(_u14224, _u14224), skolem348(_u14228, _u14227, _u14226, _u14225, _u14224)), _u14226)), _u14228)) )).
% 12.21/12.46 cnf(matrix-6288, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14234 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14234 = hAPP(c_Nat_OSuc, skolem351(_u14235, _u14234, _u14233, _u14232, _u14231))) )).
% 12.21/12.46 cnf(matrix-6289, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14234 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231))), _u14235)) )).
% 12.21/12.46 cnf(matrix-6290, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14234 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), skolem351(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14235))) )).
% 12.21/12.46 cnf(matrix-6291, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14232 = _u14233) | ( _u14234 = hAPP(c_Nat_OSuc, skolem351(_u14235, _u14234, _u14233, _u14232, _u14231))) )).
% 12.21/12.46 cnf(matrix-6292, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14232 = _u14233) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231))), _u14235)) )).
% 12.21/12.46 cnf(matrix-6293, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), _u14232), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), _u14234), _u14235))) | ( _u14232 = _u14233) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14231, _u14231)), hAPP(hAPP(c_Product__Type_OPair(_u14231, _u14231), skolem350(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14233)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14231, _u14231), tc_HOL_Obool), skolem351(_u14235, _u14234, _u14233, _u14232, _u14231)), _u14235))) )).
% 12.21/12.46 cnf(matrix-6294, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14241), _u14242)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), skolem352(_u14242, _u14241, _u14240, _u14239, _u14238)), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) )).
% 12.21/12.46 cnf(matrix-6295, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14241), _u14242)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), skolem353(_u14242, _u14241, _u14240, _u14239, _u14238)), skolem352(_u14242, _u14241, _u14240, _u14239, _u14238))), _u14242)) )).
% 12.21/12.46 cnf(matrix-6296, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14241), _u14242)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | ( skolem353(_u14242, _u14241, _u14240, _u14239, _u14238) != skolem352(_u14242, _u14241, _u14240, _u14239, _u14238)) )).
% 12.21/12.46 cnf(matrix-6297, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14245, _u14245), tc_HOL_Obool)), _u14248), _u14249)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), skolem354(_u14249, _u14248, _u14247, _u14246, _u14245))), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) )).
% 12.21/12.46 cnf(matrix-6298, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14245, _u14245), tc_HOL_Obool)), _u14248), _u14249)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), skolem354(_u14249, _u14248, _u14247, _u14246, _u14245)), skolem355(_u14249, _u14248, _u14247, _u14246, _u14245))), _u14249)) )).
% 12.21/12.46 cnf(matrix-6299, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14245, _u14245), tc_HOL_Obool)), _u14248), _u14249)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14245, _u14245)), hAPP(hAPP(c_Product__Type_OPair(_u14245, _u14245), _u14246), _u14247)), c_Transitive__Closure_Ortrancl(_u14245, _u14248))) | ( skolem354(_u14249, _u14248, _u14247, _u14246, _u14245) != skolem355(_u14249, _u14248, _u14247, _u14246, _u14245)) )).
% 12.21/12.46 cnf(matrix-6300, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), _u14252), _u14253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14254)), _u14255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), _u14252), skolem356(_u14255, _u14254, _u14253, _u14252, _u14251))), _u14255)) )).
% 12.21/12.46 cnf(matrix-6301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), _u14252), _u14253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14254)), _u14255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14251, _u14251)), hAPP(hAPP(c_Product__Type_OPair(_u14251, _u14251), skolem356(_u14255, _u14254, _u14253, _u14252, _u14251)), _u14253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), _u14254), _u14255))) )).
% 12.21/12.46 cnf(matrix-6302, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), _u14258), _u14259)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14257, _u14257), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14260)), _u14261))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), _u14258), skolem357(_u14261, _u14260, _u14259, _u14258, _u14257))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14257, _u14257), tc_HOL_Obool), _u14260), _u14261))) )).
% 12.21/12.46 cnf(matrix-6303, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), _u14258), _u14259)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14257, _u14257), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14260)), _u14261))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14257, _u14257)), hAPP(hAPP(c_Product__Type_OPair(_u14257, _u14257), skolem357(_u14261, _u14260, _u14259, _u14258, _u14257)), _u14259)), _u14261)) )).
% 12.21/12.46 cnf(matrix-6304, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14263, _u14263), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14266)), _u14267))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), skolem358(_u14267, _u14266, _u14265, _u14264, _u14263))), _u14267)) )).
% 12.21/12.46 cnf(matrix-6305, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14263, _u14263), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14266)), _u14267))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), skolem358(_u14267, _u14266, _u14265, _u14264, _u14263)), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14263, _u14263), tc_HOL_Obool), _u14266), _u14267))) )).
% 12.21/12.46 cnf(matrix-6306, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14270), _u14271)), c_Transitive__Closure_Otrancl(_u14269, _u14272))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14270), skolem359(_u14272, _u14271, _u14270, _u14269))), _u14272)) )).
% 12.21/12.46 cnf(matrix-6307, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14270), _u14271)), c_Transitive__Closure_Otrancl(_u14269, _u14272))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), skolem359(_u14272, _u14271, _u14270, _u14269)), _u14271)), c_Transitive__Closure_Ortrancl(_u14269, _u14272))) )).
% 12.21/12.46 cnf(matrix-6308, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), _u14275), _u14276)), c_Transitive__Closure_Otrancl(_u14274, _u14277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), _u14275), skolem360(_u14277, _u14276, _u14275, _u14274))), c_Transitive__Closure_Ortrancl(_u14274, _u14277))) )).
% 12.21/12.46 cnf(matrix-6309, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), _u14275), _u14276)), c_Transitive__Closure_Otrancl(_u14274, _u14277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14274, _u14274)), hAPP(hAPP(c_Product__Type_OPair(_u14274, _u14274), skolem360(_u14277, _u14276, _u14275, _u14274)), _u14276)), _u14277)) )).
% 12.21/12.46 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), _u14280), c_Relation_OId(_u14279))) | ( _u14280 = hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), skolem361(_u14280, _u14279)), skolem361(_u14280, _u14279))) )).
% 12.21/12.46 cnf(matrix-6311, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem362(_u14286, _u14285, _u14284, _u14283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem363(_u14286, _u14285, _u14284, _u14283))) )).
% 12.21/12.46 cnf(matrix-6312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem362(_u14286, _u14285, _u14284, _u14283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem363(_u14286, _u14285, _u14284, _u14283)), _u14284)) )).
% 12.21/12.46 cnf(matrix-6313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem362(_u14286, _u14285, _u14284, _u14283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | ( hAPP(_u14285, skolem363(_u14286, _u14285, _u14284, _u14283)) = _u14286) )).
% 12.21/12.46 cnf(matrix-6314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem363(_u14286, _u14285, _u14284, _u14283))) )).
% 12.21/12.46 cnf(matrix-6315, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem363(_u14286, _u14285, _u14284, _u14283)), _u14284)) )).
% 12.21/12.46 cnf(matrix-6316, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | ( hAPP(_u14285, skolem363(_u14286, _u14285, _u14284, _u14283)) = _u14286) )).
% 12.21/12.46 cnf(matrix-6317, 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(_u14285, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14285, skolem362(_u14286, _u14285, _u14284, _u14283))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14283), skolem363(_u14286, _u14285, _u14284, _u14283))) )).
% 12.21/12.46 cnf(matrix-6318, 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(_u14285, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14285, skolem362(_u14286, _u14285, _u14284, _u14283))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem363(_u14286, _u14285, _u14284, _u14283)), _u14284)) )).
% 12.21/12.46 cnf(matrix-6319, 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(_u14285, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem362(_u14286, _u14285, _u14284, _u14283)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14285, skolem362(_u14286, _u14285, _u14284, _u14283))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14283), _u14284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14285, _u14283)), _u14286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14286), hAPP(_u14285, _u14284))) | ( hAPP(_u14285, skolem363(_u14286, _u14285, _u14284, _u14283)) = _u14286) )).
% 12.21/12.46 cnf(matrix-6320, plain, ( ~class_Orderings_Olinorder(_u14287) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14287), _u14288)) | hBOOL(hAPP(hAPP(c_member(_u14287), _u14289), _u14288)) | ( c_Big__Operators_Olattice_OSup__fin(_u14287, c_Orderings_Oord__class_Omax(_u14287), hAPP(hAPP(c_Set_Oinsert(_u14287), _u14289), _u14288)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14287, _u14287, c_Orderings_Oord__class_Omax(_u14287)), _u14289), _u14288)) )).
% 12.21/12.46 cnf(matrix-6321, plain, ( ~class_Orderings_Olinorder(_u14290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14290), _u14291)) | hBOOL(hAPP(hAPP(c_member(_u14290), _u14292), _u14291)) | ( c_Big__Operators_Olattice_OInf__fin(_u14290, c_Orderings_Oord__class_Omin(_u14290), hAPP(hAPP(c_Set_Oinsert(_u14290), _u14292), _u14291)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14290, _u14290, c_Orderings_Oord__class_Omin(_u14290)), _u14292), _u14291)) )).
% 12.21/12.46 cnf(matrix-6322, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14293, _u14294, _u14295), _u14296), c_Orderings_Obot__class_Obot(tc_fun(_u14293, tc_HOL_Obool))) = _u14296) )).
% 12.21/12.46 cnf(matrix-6323, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u14297, _u14298, _u14299), _u14300) = c_Finite__Set_Ofold(_u14298, _u14297, hAPP(hAPP(c_COMBB(_u14297, tc_fun(_u14297, _u14297), _u14298), _u14299), _u14300))) )).
% 12.21/12.46 cnf(matrix-6324, plain, ( ~c_Finite__Set_Ofolding(_u14301, _u14302, _u14303, _u14304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14301), _u14305)) | ( hAPP(hAPP(_u14304, _u14305), _u14306) = hAPP(hAPP(c_Finite__Set_Ofold(_u14301, _u14302, _u14303), _u14306), _u14305)) )).
% 12.21/12.46 cnf(matrix-6325, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14307, _u14308, _u14309), _u14310), _u14311) = c_HOL_OThe(_u14308, c_Finite__Set_Ofold__graph(_u14307, _u14308, _u14309, _u14310, _u14311))) )).
% 12.21/12.46 cnf(matrix-6326, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14312), _u14313)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14312, tc_HOL_Obool)), _u14313), _u14314) = hAPP(hAPP(c_Finite__Set_Ofold(_u14312, tc_fun(_u14312, tc_HOL_Obool), c_Set_Oinsert(_u14312)), _u14314), _u14313)) )).
% 12.21/12.46 cnf(matrix-6327, plain, ( ~class_Lattices_Osemilattice__sup(_u14315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14315), _u14316)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14315, _u14315, c_Lattices_Osemilattice__sup__class_Osup(_u14315)), _u14317), hAPP(hAPP(c_Set_Oinsert(_u14315), _u14318), _u14316)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14315), _u14318), hAPP(hAPP(c_Finite__Set_Ofold(_u14315, _u14315, c_Lattices_Osemilattice__sup__class_Osup(_u14315)), _u14317), _u14316))) )).
% 12.21/12.46 cnf(matrix-6328, plain, ( ~class_Lattices_Osemilattice__inf(_u14319) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14319), _u14320)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14319, _u14319, c_Lattices_Osemilattice__inf__class_Oinf(_u14319)), _u14321), hAPP(hAPP(c_Set_Oinsert(_u14319), _u14322), _u14320)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14319), _u14322), hAPP(hAPP(c_Finite__Set_Ofold(_u14319, _u14319, c_Lattices_Osemilattice__inf__class_Oinf(_u14319)), _u14321), _u14320))) )).
% 12.21/12.46 cnf(matrix-6329, plain, ( ~class_Orderings_Olinorder(_u14323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14323), _u14324)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14323, _u14323, c_Orderings_Oord__class_Omin(_u14323)), _u14325), hAPP(hAPP(c_Set_Oinsert(_u14323), _u14326), _u14324)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14323), _u14326), hAPP(hAPP(c_Finite__Set_Ofold(_u14323, _u14323, c_Orderings_Oord__class_Omin(_u14323)), _u14325), _u14324))) )).
% 12.21/12.46 cnf(matrix-6330, plain, ( ~class_Orderings_Olinorder(_u14327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14328)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14327, _u14327, c_Orderings_Oord__class_Omax(_u14327)), _u14329), hAPP(hAPP(c_Set_Oinsert(_u14327), _u14330), _u14328)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14327), _u14330), hAPP(hAPP(c_Finite__Set_Ofold(_u14327, _u14327, c_Orderings_Oord__class_Omax(_u14327)), _u14329), _u14328))) )).
% 12.21/12.46 cnf(matrix-6331, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14331, _u14332, _u14333) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14331), _u14334)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14331, _u14332, _u14333), _u14335), hAPP(hAPP(c_Set_Oinsert(_u14331), _u14336), _u14334)) = hAPP(hAPP(_u14333, _u14336), hAPP(hAPP(c_Finite__Set_Ofold(_u14331, _u14332, _u14333), _u14335), _u14334))) )).
% 12.21/12.46 cnf(matrix-6332, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14337, _u14338, _u14339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14337), _u14340)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14337, _u14338, _u14339), _u14341), hAPP(hAPP(c_Set_Oinsert(_u14337), _u14342), _u14340)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14337, _u14338, _u14339), hAPP(hAPP(_u14339, _u14342), _u14341)), _u14340)) )).
% 12.21/12.46 cnf(matrix-6333, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14344), _u14345)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14343), _u14346), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14344, _u14343), _u14345), _u14347)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14344, _u14343, hAPP(hAPP(c_COMBB(_u14343, tc_fun(_u14343, _u14343), _u14344), c_Lattices_Osemilattice__sup__class_Osup(_u14343)), _u14347)), _u14346), _u14345)) )).
% 12.21/12.46 cnf(matrix-6334, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u14348, _u14349, _u14350) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14348), _u14351)) | ( hAPP(_u14350, hAPP(hAPP(c_Set_Oinsert(_u14348), _u14352), _u14351)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14348, _u14348, _u14349), _u14352), _u14351)) )).
% 12.21/12.46 cnf(matrix-6335, plain, ( ~class_Lattices_Osemilattice__sup(_u14353) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14353), _u14354)) | ~hBOOL(hAPP(hAPP(c_member(_u14353), _u14355), _u14354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14353), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14353), _u14355), _u14356)), hAPP(hAPP(c_Finite__Set_Ofold(_u14353, _u14353, c_Lattices_Osemilattice__sup__class_Osup(_u14353)), _u14356), _u14354))) )).
% 12.21/12.46 cnf(matrix-6336, plain, ( ~class_Lattices_Osemilattice__inf(_u14357) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14357), _u14358)) | ~hBOOL(hAPP(hAPP(c_member(_u14357), _u14359), _u14358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14357), hAPP(hAPP(c_Finite__Set_Ofold(_u14357, _u14357, c_Lattices_Osemilattice__inf__class_Oinf(_u14357)), _u14360), _u14358)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14357), _u14359), _u14360))) )).
% 12.21/12.46 cnf(matrix-6337, plain, ( ~class_Orderings_Olinorder(_u14361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14361), _u14362)) | ~hBOOL(hAPP(hAPP(c_member(_u14361), _u14363), _u14362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14361), hAPP(hAPP(c_Finite__Set_Ofold(_u14361, _u14361, c_Orderings_Oord__class_Omin(_u14361)), _u14364), _u14362)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14361), _u14363), _u14364))) )).
% 12.21/12.46 cnf(matrix-6338, plain, ( ~class_Orderings_Olinorder(_u14365) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14365), _u14366)) | ~hBOOL(hAPP(hAPP(c_member(_u14365), _u14367), _u14366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14365), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14365), _u14367), _u14368)), hAPP(hAPP(c_Finite__Set_Ofold(_u14365, _u14365, c_Orderings_Oord__class_Omax(_u14365)), _u14368), _u14366))) )).
% 12.21/12.46 cnf(matrix-6339, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14369), _u14370)) | ( hAPP(c_Finite__Set_Ofold1(_u14369, c_Groups_Otimes__class_Otimes(_u14369)), hAPP(hAPP(c_Set_Oinsert(_u14369), _u14371), _u14370)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14369, _u14369, c_Groups_Otimes__class_Otimes(_u14369)), _u14371), _u14370)) )).
% 12.21/12.46 cnf(matrix-6340, plain, ( ~class_Lattices_Olattice(_u14372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14372), _u14373)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14372, hAPP(hAPP(c_Set_Oinsert(_u14372), _u14374), _u14373)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14372, _u14372, c_Lattices_Osemilattice__sup__class_Osup(_u14372)), _u14374), _u14373)) )).
% 12.21/12.46 cnf(matrix-6341, plain, ( ~class_Lattices_Olattice(_u14375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14375), _u14376)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14375, hAPP(hAPP(c_Set_Oinsert(_u14375), _u14377), _u14376)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14375, _u14375, c_Lattices_Osemilattice__inf__class_Oinf(_u14375)), _u14377), _u14376)) )).
% 12.21/12.46 cnf(matrix-6342, plain, ( ~class_Orderings_Olinorder(_u14378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14378), _u14379)) | ( c_Big__Operators_Olinorder__class_OMin(_u14378, hAPP(hAPP(c_Set_Oinsert(_u14378), _u14380), _u14379)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14378, _u14378, c_Orderings_Oord__class_Omin(_u14378)), _u14380), _u14379)) )).
% 12.21/12.46 cnf(matrix-6343, plain, ( ~class_Orderings_Olinorder(_u14381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14381), _u14382)) | ( c_Big__Operators_Olinorder__class_OMax(_u14381, hAPP(hAPP(c_Set_Oinsert(_u14381), _u14383), _u14382)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14381, _u14381, c_Orderings_Oord__class_Omax(_u14381)), _u14383), _u14382)) )).
% 12.21/12.46 cnf(matrix-6344, plain, ( ~class_Orderings_Olinorder(_u14384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14384), _u14385)) | ( c_Big__Operators_Olattice_OInf__fin(_u14384, c_Orderings_Oord__class_Omin(_u14384), hAPP(hAPP(c_Set_Oinsert(_u14384), _u14386), _u14385)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14384, _u14384, c_Orderings_Oord__class_Omin(_u14384)), _u14386), _u14385)) )).
% 12.21/12.46 cnf(matrix-6345, plain, ( ~class_Orderings_Olinorder(_u14387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14387), _u14388)) | ( c_Big__Operators_Olattice_OSup__fin(_u14387, c_Orderings_Oord__class_Omax(_u14387), hAPP(hAPP(c_Set_Oinsert(_u14387), _u14389), _u14388)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14387, _u14387, c_Orderings_Oord__class_Omax(_u14387)), _u14389), _u14388)) )).
% 12.21/12.46 cnf(matrix-6346, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14390), _u14391)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14390, tc_HOL_Obool)), _u14392), _u14391) = hAPP(hAPP(c_Finite__Set_Ofold(_u14390, tc_fun(_u14390, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14390, tc_HOL_Obool), tc_fun(tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool)), _u14390), hAPP(c_COMBC(tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14390, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14390, tc_fun(_u14390, tc_HOL_Obool), tc_fun(_u14390, tc_HOL_Obool)), c_Set_Oinsert(_u14390)), c_Orderings_Obot__class_Obot(tc_fun(_u14390, tc_HOL_Obool))))), _u14392), _u14391)) )).
% 12.21/12.46 cnf(matrix-6347, plain, ( ~c_Finite__Set_Ofolding__one(_u14393, _u14394, _u14395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14393), _u14396)) | hBOOL(hAPP(hAPP(c_member(_u14393), _u14397), _u14396)) | ( hAPP(_u14395, hAPP(hAPP(c_Set_Oinsert(_u14393), _u14397), _u14396)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14393, _u14393, _u14394), _u14397), _u14396)) )).
% 12.21/12.46 cnf(matrix-6348, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14399), _u14400)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14399, _u14398), _u14400), _u14401) = hAPP(hAPP(c_Finite__Set_Ofold(_u14399, _u14398, hAPP(hAPP(c_COMBB(_u14398, tc_fun(_u14398, _u14398), _u14399), c_Lattices_Osemilattice__sup__class_Osup(_u14398)), _u14401)), c_Orderings_Obot__class_Obot(_u14398)), _u14400)) )).
% 12.21/12.46 cnf(matrix-6349, plain, ( ~class_Groups_Oab__semigroup__mult(_u14402) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14402), _u14403)) | hBOOL(hAPP(hAPP(c_member(_u14402), _u14404), _u14403)) | ( hAPP(c_Finite__Set_Ofold1(_u14402, c_Groups_Otimes__class_Otimes(_u14402)), hAPP(hAPP(c_Set_Oinsert(_u14402), _u14404), _u14403)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14402, _u14402, c_Groups_Otimes__class_Otimes(_u14402)), _u14404), _u14403)) )).
% 12.21/12.46 cnf(matrix-6350, plain, ( ~class_Lattices_Olattice(_u14405) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14405), _u14406)) | hBOOL(hAPP(hAPP(c_member(_u14405), _u14407), _u14406)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14405, hAPP(hAPP(c_Set_Oinsert(_u14405), _u14407), _u14406)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14405, _u14405, c_Lattices_Osemilattice__sup__class_Osup(_u14405)), _u14407), _u14406)) )).
% 12.21/12.46 cnf(matrix-6351, plain, ( ~class_Lattices_Olattice(_u14408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14408), _u14409)) | hBOOL(hAPP(hAPP(c_member(_u14408), _u14410), _u14409)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14408, hAPP(hAPP(c_Set_Oinsert(_u14408), _u14410), _u14409)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14408, _u14408, c_Lattices_Osemilattice__inf__class_Oinf(_u14408)), _u14410), _u14409)) )).
% 12.21/12.46 cnf(matrix-6352, plain, ( ~class_Orderings_Olinorder(_u14411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14411), _u14412)) | hBOOL(hAPP(hAPP(c_member(_u14411), _u14413), _u14412)) | ( c_Big__Operators_Olinorder__class_OMin(_u14411, hAPP(hAPP(c_Set_Oinsert(_u14411), _u14413), _u14412)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14411, _u14411, c_Orderings_Oord__class_Omin(_u14411)), _u14413), _u14412)) )).
% 12.21/12.46 cnf(matrix-6353, plain, ( ~class_Orderings_Olinorder(_u14414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14414), _u14415)) | hBOOL(hAPP(hAPP(c_member(_u14414), _u14416), _u14415)) | ( c_Big__Operators_Olinorder__class_OMax(_u14414, hAPP(hAPP(c_Set_Oinsert(_u14414), _u14416), _u14415)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14414, _u14414, c_Orderings_Oord__class_Omax(_u14414)), _u14416), _u14415)) )).
% 12.21/12.46 cnf(matrix-6354, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14417, _u14418, _u14419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14417), _u14420)) | ~hBOOL(hAPP(hAPP(c_member(_u14417), _u14421), _u14420)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14417, _u14418, _u14419), _u14422), _u14420) = hAPP(hAPP(_u14419, _u14421), hAPP(hAPP(c_Finite__Set_Ofold(_u14417, _u14418, _u14419), _u14422), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14417, tc_HOL_Obool)), _u14420), hAPP(hAPP(c_Set_Oinsert(_u14417), _u14421), c_Orderings_Obot__class_Obot(tc_fun(_u14417, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-6355, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14423, _u14424, _u14425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14423), _u14426)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14423, _u14424, _u14425), _u14427), hAPP(hAPP(c_Set_Oinsert(_u14423), _u14428), _u14426)) = hAPP(hAPP(_u14425, _u14428), hAPP(hAPP(c_Finite__Set_Ofold(_u14423, _u14424, _u14425), _u14427), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14423, tc_HOL_Obool)), _u14426), hAPP(hAPP(c_Set_Oinsert(_u14423), _u14428), c_Orderings_Obot__class_Obot(tc_fun(_u14423, tc_HOL_Obool))))))) )).
% 12.21/12.46 cnf(matrix-6356, plain, ( ( hAPP(hAPP(_u14431, _u14432), hAPP(hAPP(_u14431, _u14433), _u14434)) = hAPP(hAPP(_u14431, _u14433), hAPP(hAPP(_u14431, _u14432), _u14434))) | ~c_Finite__Set_Ofun__left__comm(_u14429, _u14430, _u14431) )).
% 12.21/12.46 cnf(matrix-6357, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14435, _u14436, _u14437) | c_Finite__Set_Ofun__left__comm(_u14438, _u14436, hAPP(hAPP(c_COMBB(_u14435, tc_fun(_u14436, _u14436), _u14438), _u14437), _u14439)) )).
% 12.21/12.46 cnf(matrix-6358, plain, ( ~class_Groups_Oab__semigroup__mult(_u14440) | c_Finite__Set_Ofun__left__comm(_u14440, _u14440, c_Groups_Otimes__class_Otimes(_u14440)) )).
% 12.21/12.46 cnf(matrix-6359, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14441, _u14442, _u14443) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14441, _u14442, _u14443, _u14444, _u14445), _u14446)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14441, _u14442, _u14443, _u14444, _u14445), _u14447)) | ( _u14447 = _u14446) )).
% 12.21/12.46 cnf(matrix-6360, plain, ( ( hAPP(c_Fun_Ocomp(_u14449, _u14449, _u14449, hAPP(_u14450, _u14451)), hAPP(_u14450, _u14452)) = hAPP(c_Fun_Ocomp(_u14449, _u14449, _u14449, hAPP(_u14450, _u14452)), hAPP(_u14450, _u14451))) | ~c_Finite__Set_Ofun__left__comm(_u14448, _u14449, _u14450) )).
% 12.21/12.46 cnf(matrix-6361, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14453, _u14454, _u14455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14453), _u14456)) | ( hAPP(hAPP(_u14455, _u14457), hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), _u14458), _u14456)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), hAPP(hAPP(_u14455, _u14457), _u14458)), _u14456)) )).
% 12.21/12.46 cnf(matrix-6362, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14459, _u14460, _u14461) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14459, _u14460, _u14461, _u14462, _u14463), _u14464)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14459, _u14460, _u14461), _u14462), _u14463) = _u14464) )).
% 12.21/12.46 cnf(matrix-6363, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14465, _u14466, _u14467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14465), _u14468)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14465, _u14466, _u14467, _u14469, _u14468), hAPP(hAPP(c_Finite__Set_Ofold(_u14465, _u14466, _u14467), _u14469), _u14468))) )).
% 12.21/12.46 cnf(matrix-6364, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14470, _u14471, _u14472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14470), _u14473)) | hBOOL(hAPP(hAPP(c_member(_u14470), _u14474), _u14473)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14470, _u14471, _u14472), _u14475), hAPP(hAPP(c_Set_Oinsert(_u14470), _u14474), _u14473)) = hAPP(hAPP(_u14472, _u14474), hAPP(hAPP(c_Finite__Set_Ofold(_u14470, _u14471, _u14472), _u14475), _u14473))) )).
% 12.21/12.46 cnf(matrix-6365, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14476, _u14477, _u14478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14476), _u14479)) | hBOOL(hAPP(hAPP(c_member(_u14476), _u14480), _u14479)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14476, _u14477, _u14478), _u14481), hAPP(hAPP(c_Set_Oinsert(_u14476), _u14480), _u14479)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14476, _u14477, _u14478), hAPP(hAPP(_u14478, _u14480), _u14481)), _u14479)) )).
% 12.21/12.46 cnf(matrix-6366, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14483, _u14484, _u14485) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14483, _u14484, _u14485, _u14486, _u14487), _u14488)) | ~hBOOL(hAPP(hAPP(c_member(_u14483), _u14489), _u14487)) | ( _u14488 = hAPP(hAPP(_u14485, _u14489), skolem364(_u14489, _u14488, _u14487, _u14486, _u14485, _u14484, _u14483))) )).
% 12.21/12.46 cnf(matrix-6367, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14483, _u14484, _u14485) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14483, _u14484, _u14485, _u14486, _u14487), _u14488)) | ~hBOOL(hAPP(hAPP(c_member(_u14483), _u14489), _u14487)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14483, _u14484, _u14485, _u14486, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14483, tc_HOL_Obool)), _u14487), hAPP(hAPP(c_Set_Oinsert(_u14483), _u14489), c_Orderings_Obot__class_Obot(tc_fun(_u14483, tc_HOL_Obool))))), skolem364(_u14489, _u14488, _u14487, _u14486, _u14485, _u14484, _u14483))) )).
% 12.21/12.46 cnf(matrix-6368, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14491), _u14492)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14491, _u14490), _u14492), _u14493) = hAPP(hAPP(c_Finite__Set_Ofold(_u14491, _u14490, hAPP(hAPP(c_COMBB(_u14490, tc_fun(_u14490, _u14490), _u14491), c_Lattices_Osemilattice__inf__class_Oinf(_u14490)), _u14493)), c_Orderings_Otop__class_Otop(_u14490)), _u14492)) )).
% 12.21/12.46 cnf(matrix-6369, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14494), _u14495), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14496, tc_fun(_u14494, tc_HOL_Obool)), _u14497), _u14498))) | ~hBOOL(hAPP(hAPP(c_member(_u14496), _u14499), _u14497)) | hBOOL(hAPP(hAPP(c_member(_u14494), _u14495), hAPP(_u14498, _u14499))) )).
% 12.21/12.46 cnf(matrix-6370, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14500), _u14501), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14502, tc_fun(_u14500, tc_HOL_Obool)), _u14503), _u14504))) | hBOOL(hAPP(hAPP(c_member(_u14500), _u14501), hAPP(_u14504, _u14505))) | ~hBOOL(hAPP(hAPP(c_member(_u14502), _u14505), _u14503)) )).
% 12.21/12.46 cnf(matrix-6371, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14506, tc_fun(_u14507, tc_HOL_Obool)), _u14508), _u14509), _u14510)) | hBOOL(hAPP(hAPP(_u14509, _u14511), _u14510)) | ~hBOOL(hAPP(hAPP(c_member(_u14506), _u14511), _u14508)) )).
% 12.21/12.46 cnf(matrix-6372, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14512, tc_fun(_u14513, tc_HOL_Obool)), _u14514), _u14515), _u14516)) | ~hBOOL(hAPP(hAPP(c_member(_u14512), _u14517), _u14514)) | hBOOL(hAPP(hAPP(_u14515, _u14517), _u14516)) )).
% 12.21/12.46 cnf(matrix-6373, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14518, tc_fun(_u14519, tc_fun(_u14520, tc_HOL_Obool))), _u14521), _u14522), _u14523), _u14524)) | hBOOL(hAPP(hAPP(hAPP(_u14522, _u14525), _u14523), _u14524)) | ~hBOOL(hAPP(hAPP(c_member(_u14518), _u14525), _u14521)) )).
% 12.21/12.46 cnf(matrix-6374, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14526, tc_fun(_u14527, tc_fun(_u14528, tc_HOL_Obool))), _u14529), _u14530), _u14531), _u14532)) | ~hBOOL(hAPP(hAPP(c_member(_u14526), _u14533), _u14529)) | hBOOL(hAPP(hAPP(hAPP(_u14530, _u14533), _u14531), _u14532)) )).
% 12.21/12.46 cnf(matrix-6375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14535), _u14534), _u14536)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14537), hAPP(_u14538, _u14534))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14537), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14535, tc_fun(_u14537, tc_HOL_Obool)), _u14536), _u14538))) )).
% 12.21/12.46 cnf(matrix-6376, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14539, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14540, tc_fun(_u14539, tc_HOL_Obool)), _u14541), _u14542)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14540, tc_fun(_u14539, tc_HOL_Obool)), _u14541), hAPP(hAPP(c_COMBB(tc_fun(_u14539, tc_HOL_Obool), tc_fun(_u14539, tc_HOL_Obool), _u14540), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14539, tc_HOL_Obool))), _u14542))) )).
% 12.21/12.46 cnf(matrix-6377, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14543, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14544, tc_fun(_u14543, tc_HOL_Obool)), _u14545), _u14546)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14544, tc_fun(_u14543, tc_HOL_Obool)), _u14545), hAPP(hAPP(c_COMBB(tc_fun(_u14543, tc_HOL_Obool), tc_fun(_u14543, tc_HOL_Obool), _u14544), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14543, tc_HOL_Obool))), _u14546))) )).
% 12.21/12.46 cnf(matrix-6378, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14547, tc_fun(_u14548, tc_HOL_Obool)), _u14549), hAPP(hAPP(c_COMBC(_u14547, tc_fun(_u14550, tc_fun(_u14548, tc_HOL_Obool)), tc_fun(_u14548, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14550, tc_HOL_Obool), tc_fun(tc_fun(_u14550, tc_fun(_u14548, tc_HOL_Obool)), tc_fun(_u14548, tc_HOL_Obool)), _u14547), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14550, tc_fun(_u14548, tc_HOL_Obool))), _u14551)), _u14552)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14550, tc_fun(_u14548, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14547, tc_fun(_u14550, tc_HOL_Obool)), _u14549), _u14551)), _u14552)) )).
% 12.21/12.46 cnf(matrix-6379, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14553, tc_fun(_u14554, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14555, tc_fun(_u14553, tc_HOL_Obool)), _u14556), _u14557)), _u14558) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14555, tc_fun(_u14554, tc_HOL_Obool)), _u14556), hAPP(hAPP(c_COMBC(_u14555, tc_fun(_u14553, tc_fun(_u14554, tc_HOL_Obool)), tc_fun(_u14554, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14553, tc_HOL_Obool), tc_fun(tc_fun(_u14553, tc_fun(_u14554, tc_HOL_Obool)), tc_fun(_u14554, tc_HOL_Obool)), _u14555), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14553, tc_fun(_u14554, tc_HOL_Obool))), _u14557)), _u14558))) )).
% 12.21/12.46 cnf(matrix-6380, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14559, tc_fun(_u14560, tc_HOL_Obool)), _u14561), hAPP(hAPP(c_COMBB(tc_fun(_u14560, tc_HOL_Obool), tc_fun(_u14560, tc_HOL_Obool), _u14559), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14560, tc_HOL_Obool)), _u14562)), _u14563)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14560, tc_HOL_Obool)), _u14562), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14559, tc_fun(_u14560, tc_HOL_Obool)), _u14561), _u14563))) )).
% 12.21/12.46 cnf(matrix-6381, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14564, tc_HOL_Obool)), _u14565), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14566, tc_fun(_u14564, tc_HOL_Obool)), _u14567), _u14568)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14566, tc_fun(_u14564, tc_HOL_Obool)), _u14567), hAPP(hAPP(c_COMBB(tc_fun(_u14564, tc_HOL_Obool), tc_fun(_u14564, tc_HOL_Obool), _u14566), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14564, tc_HOL_Obool)), _u14565)), _u14568))) )).
% 12.21/12.46 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14573, tc_fun(_u14575, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14573, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14575, tc_HOL_Obool), tc_fun(_u14575, tc_HOL_Obool), _u14573), hAPP(c_COMBC(_u14575, tc_fun(_u14575, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14575))), _u14577)), _u14579)) | hBOOL(hAPP(hAPP(c_member(_u14575), _u14579), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14573, tc_fun(_u14575, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14573, tc_HOL_Obool))), _u14577))) )).
% 12.21/12.46 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14576), _u14580), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14574, tc_fun(_u14576, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14574, tc_HOL_Obool))), _u14578))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14574, tc_fun(_u14576, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14574, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14576, tc_HOL_Obool), tc_fun(_u14576, tc_HOL_Obool), _u14574), hAPP(c_COMBC(_u14576, tc_fun(_u14576, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14576))), _u14578)), _u14580)) )).
% 12.21/12.46 cnf(matrix-6384, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14581), _u14582), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14583, tc_fun(_u14581, tc_HOL_Obool)), _u14584), _u14585)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14583, tc_fun(_u14581, tc_HOL_Obool)), _u14584), hAPP(hAPP(c_COMBB(tc_fun(_u14581, tc_HOL_Obool), tc_fun(_u14581, tc_HOL_Obool), _u14583), hAPP(c_Set_Oinsert(_u14581), _u14582)), _u14585))) )).
% 12.21/12.46 cnf(matrix-6385, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14586, tc_fun(_u14587, tc_HOL_Obool)), _u14588), hAPP(hAPP(c_COMBB(tc_fun(_u14587, tc_HOL_Obool), tc_fun(_u14587, tc_HOL_Obool), _u14586), hAPP(c_Set_Oinsert(_u14587), _u14589)), _u14590)) = hAPP(hAPP(c_Set_Oinsert(_u14587), _u14589), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14586, tc_fun(_u14587, tc_HOL_Obool)), _u14588), _u14590))) )).
% 12.21/12.46 cnf(matrix-6386, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14598), _u14600), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14602, tc_fun(_u14598, tc_HOL_Obool)), _u14604), _u14606))) | ~hBOOL(hAPP(hAPP(c_member(_u14602), _u14591), _u14604)) | hBOOL(hAPP(hAPP(c_member(_u14598), _u14600), hAPP(_u14606, _u14591))) )).
% 12.21/12.46 cnf(matrix-6387, plain, ( hBOOL(hAPP(hAPP(c_member(_u14599), _u14601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14603, tc_fun(_u14599, tc_HOL_Obool)), _u14605), _u14607))) | hBOOL(hAPP(hAPP(c_member(_u14603), skolem365(_u14607, _u14605, _u14603, _u14601, _u14599)), _u14605)) )).
% 12.21/12.46 cnf(matrix-6388, plain, ( hBOOL(hAPP(hAPP(c_member(_u14599), _u14601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14603, tc_fun(_u14599, tc_HOL_Obool)), _u14605), _u14607))) | ~hBOOL(hAPP(hAPP(c_member(_u14599), _u14601), hAPP(_u14607, skolem365(_u14607, _u14605, _u14603, _u14601, _u14599)))) )).
% 12.21/12.46 cnf(matrix-6389, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14614, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14616, tc_fun(_u14614, tc_HOL_Obool)), _u14618), _u14620)) | ~hBOOL(hAPP(hAPP(c_member(_u14616), _u14608), _u14618)) | ( hAPP(_u14620, _u14608) = c_Orderings_Otop__class_Otop(tc_fun(_u14614, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6390, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14615, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14617, tc_fun(_u14615, tc_HOL_Obool)), _u14619), _u14621)) | hBOOL(hAPP(hAPP(c_member(_u14617), skolem366(_u14621, _u14619, _u14617, _u14615)), _u14619)) )).
% 12.21/12.46 cnf(matrix-6391, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14615, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14617, tc_fun(_u14615, tc_HOL_Obool)), _u14619), _u14621)) | ( hAPP(_u14621, skolem366(_u14621, _u14619, _u14617, _u14615)) != c_Orderings_Otop__class_Otop(tc_fun(_u14615, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6392, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14628, tc_fun(_u14630, tc_HOL_Obool)), _u14632), _u14634) != c_Orderings_Otop__class_Otop(tc_fun(_u14630, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14628), _u14622), _u14632)) | ( hAPP(_u14634, _u14622) = c_Orderings_Otop__class_Otop(tc_fun(_u14630, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6393, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14629, tc_fun(_u14631, tc_HOL_Obool)), _u14633), _u14635) = c_Orderings_Otop__class_Otop(tc_fun(_u14631, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14629), skolem367(_u14635, _u14633, _u14631, _u14629)), _u14633)) )).
% 12.21/12.46 cnf(matrix-6394, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14629, tc_fun(_u14631, tc_HOL_Obool)), _u14633), _u14635) = c_Orderings_Otop__class_Otop(tc_fun(_u14631, tc_HOL_Obool))) | ( hAPP(_u14635, skolem367(_u14635, _u14633, _u14631, _u14629)) != c_Orderings_Otop__class_Otop(tc_fun(_u14631, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6395, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14636) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14637, _u14636), _u14638), hAPP(hAPP(c_COMBB(tc_fun(_u14639, _u14636), _u14636, _u14637), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14639, _u14636), _u14640)), _u14641)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14639, _u14636), _u14640), hAPP(hAPP(c_COMBB(tc_fun(_u14637, _u14636), _u14636, _u14639), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14637, _u14636), _u14638)), hAPP(c_COMBC(_u14637, _u14639, _u14636), _u14641)))) )).
% 12.21/12.46 cnf(matrix-6396, plain, ( ( hAPP(c_Set_OPow(_u14642), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14643, tc_fun(_u14642, tc_HOL_Obool)), _u14644), _u14645)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14643, tc_fun(tc_fun(_u14642, tc_HOL_Obool), tc_HOL_Obool)), _u14644), hAPP(hAPP(c_COMBB(tc_fun(_u14642, tc_HOL_Obool), tc_fun(tc_fun(_u14642, tc_HOL_Obool), tc_HOL_Obool), _u14643), c_Set_OPow(_u14642)), _u14645))) )).
% 12.21/12.46 cnf(matrix-6397, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14646) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14647, tc_fun(_u14648, _u14646)), _u14649), _u14650), _u14651) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14647, _u14646), _u14649), hAPP(hAPP(c_COMBC(_u14647, _u14648, _u14646), _u14650), _u14651))) )).
% 12.21/12.46 cnf(matrix-6398, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14652, tc_fun(_u14653, tc_HOL_Obool)), _u14654), hAPP(hAPP(c_COMBS(_u14652, tc_fun(_u14653, tc_HOL_Obool), tc_fun(_u14653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14653, tc_HOL_Obool), tc_fun(tc_fun(_u14653, tc_HOL_Obool), tc_fun(_u14653, tc_HOL_Obool)), _u14652), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14653, tc_HOL_Obool))), _u14655)), _u14656)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14653, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14652, tc_fun(_u14653, tc_HOL_Obool)), _u14654), _u14655)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14652, tc_fun(_u14653, tc_HOL_Obool)), _u14654), _u14656))) )).
% 12.21/12.46 cnf(matrix-6399, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14663, tc_fun(_u14665, tc_fun(_u14667, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14663, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_fun(_u14665, tc_fun(_u14667, tc_HOL_Obool)), _u14663), hAPP(c_COMBC(_u14665, tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_fun(_u14667, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14667, tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_fun(_u14667, tc_HOL_Obool)), _u14665), c_COMBC(_u14667, tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14667, tc_prod(_u14665, _u14667)), tc_fun(_u14667, tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool)), _u14665), hAPP(c_COMBB(tc_prod(_u14665, _u14667), tc_fun(tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool), tc_HOL_Obool), _u14667), c_member(tc_prod(_u14665, _u14667)))), c_Product__Type_OPair(_u14665, _u14667))))), _u14669)), _u14671), _u14673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14665, _u14667)), hAPP(hAPP(c_Product__Type_OPair(_u14665, _u14667), _u14671), _u14673)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14663, tc_fun(tc_prod(_u14665, _u14667), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14663, tc_HOL_Obool))), _u14669))) )).
% 12.21/12.46 cnf(matrix-6400, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14668)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14668), _u14672), _u14674)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14664, tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14664, tc_HOL_Obool))), _u14670))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14664, tc_fun(_u14666, tc_fun(_u14668, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14664, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_fun(_u14666, tc_fun(_u14668, tc_HOL_Obool)), _u14664), hAPP(c_COMBC(_u14666, tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_fun(_u14668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14668, tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_fun(_u14668, tc_HOL_Obool)), _u14666), c_COMBC(_u14668, tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14668, tc_prod(_u14666, _u14668)), tc_fun(_u14668, tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool)), _u14666), hAPP(c_COMBB(tc_prod(_u14666, _u14668), tc_fun(tc_fun(tc_prod(_u14666, _u14668), tc_HOL_Obool), tc_HOL_Obool), _u14668), c_member(tc_prod(_u14666, _u14668)))), c_Product__Type_OPair(_u14666, _u14668))))), _u14670)), _u14672), _u14674)) )).
% 12.21/12.46 cnf(matrix-6401, plain, ( ( hAPP(c_Set_Ovimage(_u14675, _u14676, _u14677), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14678, tc_fun(_u14676, tc_HOL_Obool)), _u14679), _u14680)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14678, tc_fun(_u14675, tc_HOL_Obool)), _u14679), hAPP(hAPP(c_COMBB(tc_fun(_u14676, tc_HOL_Obool), tc_fun(_u14675, tc_HOL_Obool), _u14678), c_Set_Ovimage(_u14675, _u14676, _u14677)), _u14680))) )).
% 12.21/12.46 cnf(matrix-6402, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14681, tc_fun(_u14682, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14683, _u14681, _u14684), _u14685)), _u14686) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14683, tc_fun(_u14682, tc_HOL_Obool)), _u14685), hAPP(hAPP(c_COMBB(_u14681, tc_fun(_u14682, tc_HOL_Obool), _u14683), _u14686), _u14684))) )).
% 12.21/12.46 cnf(matrix-6403, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14687, tc_fun(_u14688, tc_HOL_Obool)), _u14689), hAPP(hAPP(c_COMBB(_u14690, tc_fun(_u14688, tc_HOL_Obool), _u14687), _u14691), _u14692)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14690, tc_fun(_u14688, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14687, _u14690, _u14692), _u14689)), _u14691)) )).
% 12.21/12.46 cnf(matrix-6404, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14693, tc_HOL_Obool) = c_Set_OBall(_u14693)) )).
% 12.21/12.46 cnf(matrix-6405, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14694), _u14695), _u14696)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14694, tc_fun(_u14697, tc_HOL_Obool)), _u14696), hAPP(hAPP(c_COMBB(tc_fun(_u14697, tc_HOL_Obool), tc_fun(_u14697, tc_HOL_Obool), _u14694), hAPP(c_Set_Oinsert(_u14697), _u14698)), _u14699)) = hAPP(hAPP(c_Set_Oinsert(_u14697), _u14698), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14694, tc_fun(_u14697, tc_HOL_Obool)), _u14696), _u14699))) )).
% 12.21/12.46 cnf(matrix-6406, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14700), _u14701), _u14702)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14703, tc_HOL_Obool)), hAPP(_u14704, _u14701)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14700, tc_fun(_u14703, tc_HOL_Obool)), _u14702), _u14704)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14700, tc_fun(_u14703, tc_HOL_Obool)), _u14702), _u14704)) )).
% 12.21/12.46 cnf(matrix-6407, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14705) | ( _u14706 = c_Orderings_Obot__class_Obot(tc_fun(_u14707, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14707, _u14705), _u14706), hAPP(c_COMBK(_u14705, _u14707), _u14708)) = _u14708) )).
% 12.21/12.46 cnf(matrix-6408, plain, ( ( _u14714 != c_Orderings_Obot__class_Obot(tc_fun(_u14716, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14718, tc_HOL_Obool)), _u14720), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14716, tc_fun(_u14718, tc_HOL_Obool)), _u14714), _u14722)) = _u14720) )).
% 12.21/12.46 cnf(matrix-6409, plain, ( ( _u14715 = c_Orderings_Obot__class_Obot(tc_fun(_u14717, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14719, tc_HOL_Obool)), _u14721), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14717, tc_fun(_u14719, tc_HOL_Obool)), _u14715), _u14723)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14717, tc_fun(_u14719, tc_HOL_Obool)), _u14715), hAPP(hAPP(c_COMBB(tc_fun(_u14719, tc_HOL_Obool), tc_fun(_u14719, tc_HOL_Obool), _u14717), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14719, tc_HOL_Obool)), _u14721)), _u14723))) )).
% 12.21/12.46 cnf(matrix-6410, plain, ( ( _u14729 != c_Orderings_Obot__class_Obot(tc_fun(_u14731, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14733, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14731, tc_fun(_u14733, tc_HOL_Obool)), _u14729), _u14735)), _u14737) = _u14737) )).
% 12.21/12.46 cnf(matrix-6411, plain, ( ( _u14730 = c_Orderings_Obot__class_Obot(tc_fun(_u14732, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14734, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14734, tc_HOL_Obool)), _u14730), _u14736)), _u14738) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14734, tc_HOL_Obool)), _u14730), hAPP(hAPP(c_COMBC(_u14732, tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14734, tc_HOL_Obool), tc_fun(tc_fun(_u14734, tc_HOL_Obool), tc_fun(_u14734, tc_HOL_Obool)), _u14732), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14734, tc_HOL_Obool))), _u14736)), _u14738))) )).
% 12.21/12.46 cnf(matrix-6412, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14739, tc_fun(_u14740, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14739, tc_HOL_Obool))), _u14741) = c_Orderings_Otop__class_Otop(tc_fun(_u14740, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6413, plain, ( ( _u14746 != c_Orderings_Obot__class_Obot(tc_fun(_u14748, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14748, tc_fun(_u14750, tc_HOL_Obool)), _u14746), hAPP(c_COMBK(tc_fun(_u14750, tc_HOL_Obool), _u14748), _u14752)) = c_Orderings_Otop__class_Otop(tc_fun(_u14750, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6414, plain, ( ( _u14747 = c_Orderings_Obot__class_Obot(tc_fun(_u14749, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14749, tc_fun(_u14751, tc_HOL_Obool)), _u14747), hAPP(c_COMBK(tc_fun(_u14751, tc_HOL_Obool), _u14749), _u14753)) = _u14753) )).
% 12.21/12.46 cnf(matrix-6415, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14756) | ~class_Orderings_Olinorder(_u14756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14757, _u14756), _u14758), _u14759)), _u14760)) | hBOOL(hAPP(hAPP(c_member(_u14757), skolem368(_u14760, _u14759, _u14758, _u14757, _u14756)), _u14758)) )).
% 12.21/12.46 cnf(matrix-6416, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14756) | ~class_Orderings_Olinorder(_u14756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14757, _u14756), _u14758), _u14759)), _u14760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(_u14759, skolem368(_u14760, _u14759, _u14758, _u14757, _u14756))), _u14760)) )).
% 12.21/12.46 cnf(matrix-6417, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14756) | ~class_Orderings_Olinorder(_u14756) | ~hBOOL(hAPP(hAPP(c_member(_u14757), _u14755), _u14758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(_u14759, _u14755)), _u14760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14756), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14757, _u14756), _u14758), _u14759)), _u14760)) )).
% 12.21/12.46 cnf(matrix-6418, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14765, _u14763), _u14766), _u14767))) | ~hBOOL(hAPP(hAPP(c_member(_u14765), _u14761), _u14766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(_u14767, _u14761))) )).
% 12.21/12.46 cnf(matrix-6419, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14765, _u14763), _u14766), _u14767))) | hBOOL(hAPP(hAPP(c_member(_u14765), skolem369(_u14767, _u14766, _u14765, _u14764, _u14763)), _u14766)) )).
% 12.21/12.46 cnf(matrix-6420, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14765, _u14763), _u14766), _u14767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14763), _u14764), hAPP(_u14767, skolem369(_u14767, _u14766, _u14765, _u14764, _u14763)))) )).
% 12.21/12.46 cnf(matrix-6421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14775, tc_HOL_Obool)), _u14777), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14779, tc_fun(_u14775, tc_HOL_Obool)), _u14781), _u14783))) | ~hBOOL(hAPP(hAPP(c_member(_u14779), _u14768), _u14781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14775, tc_HOL_Obool)), _u14777), hAPP(_u14783, _u14768))) )).
% 12.21/12.46 cnf(matrix-6422, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14776, tc_HOL_Obool)), _u14778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14780, tc_fun(_u14776, tc_HOL_Obool)), _u14782), _u14784))) | hBOOL(hAPP(hAPP(c_member(_u14780), skolem370(_u14784, _u14782, _u14780, _u14778, _u14776)), _u14782)) )).
% 12.21/12.46 cnf(matrix-6423, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14776, tc_HOL_Obool)), _u14778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14780, tc_fun(_u14776, tc_HOL_Obool)), _u14782), _u14784))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14776, tc_HOL_Obool)), _u14778), hAPP(_u14784, skolem370(_u14784, _u14782, _u14780, _u14778, _u14776)))) )).
% 12.21/12.46 cnf(matrix-6424, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14785), _u14786), _u14787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14788, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14785, tc_fun(_u14788, tc_HOL_Obool)), _u14787), _u14789)), hAPP(_u14789, _u14786))) )).
% 12.21/12.46 cnf(matrix-6425, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14790, tc_fun(_u14791, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14790, tc_HOL_Obool)), _u14792), _u14793)), _u14794) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14791, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14790, tc_fun(_u14791, tc_HOL_Obool)), _u14792), _u14794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14790, tc_fun(_u14791, tc_HOL_Obool)), _u14793), _u14794))) )).
% 12.21/12.46 cnf(matrix-6426, plain, ( ( hAPP(c_Set_OCollect(_u14795), hAPP(hAPP(c_COMBB(tc_fun(_u14796, tc_HOL_Obool), tc_HOL_Obool, _u14795), c_HOL_OAll(_u14796)), hAPP(hAPP(c_COMBB(tc_fun(_u14796, tc_HOL_Obool), tc_fun(_u14796, tc_HOL_Obool), _u14795), hAPP(c_COMBS(_u14796, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14796), c_fimplies), hAPP(hAPP(c_COMBC(_u14796, tc_fun(_u14796, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14796)), _u14797)))), _u14798))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14796, tc_fun(_u14795, tc_HOL_Obool)), _u14797), hAPP(hAPP(c_COMBB(tc_fun(_u14795, tc_HOL_Obool), tc_fun(_u14795, tc_HOL_Obool), _u14796), c_Set_OCollect(_u14795)), hAPP(c_COMBC(_u14795, _u14796, tc_HOL_Obool), _u14798)))) )).
% 12.21/12.46 cnf(matrix-6427, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14799, tc_fun(_u14800, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u14799), _u14801), _u14802)), _u14803) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14800, tc_HOL_Obool)), hAPP(_u14803, _u14801)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14799, tc_fun(_u14800, tc_HOL_Obool)), _u14802), _u14803))) )).
% 12.21/12.46 cnf(matrix-6428, plain, ( ( hAPP(c_Relation_Oconverse(_u14804, _u14805), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14806, tc_fun(tc_prod(_u14804, _u14805), tc_HOL_Obool)), _u14807), _u14808)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14806, tc_fun(tc_prod(_u14805, _u14804), tc_HOL_Obool)), _u14807), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14804, _u14805), tc_HOL_Obool), tc_fun(tc_prod(_u14805, _u14804), tc_HOL_Obool), _u14806), c_Relation_Oconverse(_u14804, _u14805)), _u14808))) )).
% 12.21/12.46 cnf(matrix-6429, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14809, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14810, tc_fun(_u14809, tc_HOL_Obool)), _u14811), _u14812)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14813, tc_fun(_u14809, tc_HOL_Obool)), _u14814), _u14815)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14810, tc_fun(_u14809, tc_HOL_Obool)), _u14811), hAPP(hAPP(c_COMBB(tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool)), tc_fun(_u14809, tc_HOL_Obool), _u14810), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14813, tc_fun(_u14809, tc_HOL_Obool)), _u14814)), hAPP(hAPP(c_COMBC(_u14810, tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool)), tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14809, tc_HOL_Obool), tc_fun(_u14809, tc_HOL_Obool)), tc_fun(tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool)), tc_fun(_u14813, tc_fun(_u14809, tc_HOL_Obool))), _u14810), c_COMBB(tc_fun(_u14809, tc_HOL_Obool), tc_fun(_u14809, tc_HOL_Obool), _u14813)), hAPP(hAPP(c_COMBB(tc_fun(_u14809, tc_HOL_Obool), tc_fun(tc_fun(_u14809, tc_HOL_Obool), tc_fun(_u14809, tc_HOL_Obool)), _u14810), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14809, tc_HOL_Obool))), _u14812))), _u14815)))) )).
% 12.21/12.46 cnf(matrix-6430, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14816, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14817, tc_fun(_u14816, tc_HOL_Obool)), _u14818), _u14819)), _u14820) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14817, tc_fun(_u14816, tc_HOL_Obool)), _u14818), hAPP(hAPP(c_COMBC(_u14817, tc_fun(_u14816, tc_HOL_Obool), tc_fun(_u14816, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14816, tc_HOL_Obool), tc_fun(tc_fun(_u14816, tc_HOL_Obool), tc_fun(_u14816, tc_HOL_Obool)), _u14817), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14816, tc_HOL_Obool))), _u14819)), _u14820))) )).
% 12.21/12.46 cnf(matrix-6431, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14821, tc_HOL_Obool)), _u14822), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14823, tc_fun(_u14821, tc_HOL_Obool)), _u14824), _u14825)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14823, tc_fun(_u14821, tc_HOL_Obool)), _u14824), hAPP(hAPP(c_COMBB(tc_fun(_u14821, tc_HOL_Obool), tc_fun(_u14821, tc_HOL_Obool), _u14823), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14821, tc_HOL_Obool)), _u14822)), _u14825))) )).
% 12.21/12.46 cnf(matrix-6432, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14826, tc_HOL_Obool)), _u14827), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14828, tc_fun(_u14826, tc_HOL_Obool)), _u14829), _u14830)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14828, tc_fun(_u14826, tc_HOL_Obool)), _u14829), hAPP(hAPP(c_COMBB(tc_fun(_u14826, tc_HOL_Obool), tc_fun(_u14826, tc_HOL_Obool), _u14828), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14826, tc_HOL_Obool)), _u14827)), _u14830))) )).
% 12.21/12.46 cnf(matrix-6433, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14831, tc_fun(_u14832, tc_HOL_Obool)), _u14833), hAPP(hAPP(c_COMBC(_u14831, tc_fun(_u14832, tc_HOL_Obool), tc_fun(_u14832, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14832, tc_HOL_Obool), tc_fun(tc_fun(_u14832, tc_HOL_Obool), tc_fun(_u14832, tc_HOL_Obool)), _u14831), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14832, tc_HOL_Obool))), _u14834)), _u14835)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14832, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14831, tc_fun(_u14832, tc_HOL_Obool)), _u14833), _u14834)), _u14835)) )).
% 12.21/12.46 cnf(matrix-6434, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14836, tc_fun(_u14837, tc_HOL_Obool)), _u14838), hAPP(hAPP(c_COMBB(tc_fun(_u14837, tc_HOL_Obool), tc_fun(_u14837, tc_HOL_Obool), _u14836), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14837, tc_HOL_Obool)), _u14839)), _u14840)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14837, tc_HOL_Obool)), _u14839), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14836, tc_fun(_u14837, tc_HOL_Obool)), _u14838), _u14840))) )).
% 12.21/12.46 cnf(matrix-6435, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14841, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14842, _u14841, _u14843), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14844, tc_fun(_u14842, tc_HOL_Obool)), _u14845), _u14846))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14844, tc_fun(_u14841, tc_HOL_Obool)), _u14845), hAPP(hAPP(c_COMBB(tc_fun(_u14842, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool), _u14844), c_Relation_OImage(_u14842, _u14841, _u14843)), _u14846)))) )).
% 12.21/12.46 cnf(matrix-6436, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14848, tc_HOL_Obool)), _u14849), _u14850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14847), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14848, _u14847), _u14850), _u14851)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14848, _u14847), _u14849), _u14851))) )).
% 12.21/12.46 cnf(matrix-6437, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14852, tc_fun(_u14853, tc_HOL_Obool)), _u14854), _u14855) = hAPP(c_Set_OCollect(_u14853), hAPP(hAPP(c_COMBB(tc_fun(_u14852, tc_HOL_Obool), tc_HOL_Obool, _u14853), c_HOL_OAll(_u14852)), hAPP(hAPP(c_COMBB(tc_fun(_u14852, tc_HOL_Obool), tc_fun(_u14852, tc_HOL_Obool), _u14853), hAPP(c_COMBS(_u14852, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14852), c_fimplies), hAPP(hAPP(c_COMBC(_u14852, tc_fun(_u14852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14852)), _u14854)))), hAPP(hAPP(c_COMBC(_u14853, tc_fun(_u14852, tc_fun(_u14853, tc_HOL_Obool)), tc_fun(_u14852, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14853, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14852, tc_fun(_u14853, tc_HOL_Obool)), tc_fun(_u14852, tc_HOL_Obool)), _u14853), c_COMBB(tc_fun(_u14853, tc_HOL_Obool), tc_HOL_Obool, _u14852)), c_member(_u14853))), _u14855))))) )).
% 12.21/12.46 cnf(matrix-6438, plain, ( ( _u14861 != c_Orderings_Obot__class_Obot(tc_fun(_u14863, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14863, tc_fun(_u14865, tc_HOL_Obool)), _u14861), hAPP(hAPP(c_COMBC(_u14863, tc_fun(_u14865, tc_HOL_Obool), tc_fun(_u14865, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14865, tc_HOL_Obool), tc_fun(tc_fun(_u14865, tc_HOL_Obool), tc_fun(_u14865, tc_HOL_Obool)), _u14863), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14865, tc_HOL_Obool))), _u14867)), _u14869)) = c_Orderings_Otop__class_Otop(tc_fun(_u14865, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6439, plain, ( ( _u14862 = c_Orderings_Obot__class_Obot(tc_fun(_u14864, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14864, tc_fun(_u14866, tc_HOL_Obool)), _u14862), hAPP(hAPP(c_COMBC(_u14864, tc_fun(_u14866, tc_HOL_Obool), tc_fun(_u14866, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14866, tc_HOL_Obool), tc_fun(tc_fun(_u14866, tc_HOL_Obool), tc_fun(_u14866, tc_HOL_Obool)), _u14864), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14866, tc_HOL_Obool))), _u14868)), _u14870)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14866, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14864, tc_fun(_u14866, tc_HOL_Obool)), _u14862), _u14868)), _u14870)) )).
% 12.21/12.46 cnf(matrix-6440, plain, ( ( _u14876 != c_Orderings_Obot__class_Obot(tc_fun(_u14878, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14878, tc_fun(_u14880, tc_HOL_Obool)), _u14876), hAPP(hAPP(c_COMBB(tc_fun(_u14880, tc_HOL_Obool), tc_fun(_u14880, tc_HOL_Obool), _u14878), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14880, tc_HOL_Obool)), _u14882)), _u14884)) = c_Orderings_Otop__class_Otop(tc_fun(_u14880, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6441, plain, ( ( _u14877 = c_Orderings_Obot__class_Obot(tc_fun(_u14879, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14879, tc_fun(_u14881, tc_HOL_Obool)), _u14877), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_HOL_Obool), tc_fun(_u14881, tc_HOL_Obool), _u14879), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14881, tc_HOL_Obool)), _u14883)), _u14885)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14881, tc_HOL_Obool)), _u14883), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14879, tc_fun(_u14881, tc_HOL_Obool)), _u14877), _u14885))) )).
% 12.21/12.46 cnf(matrix-6442, plain, ( ( _u14891 != c_Orderings_Obot__class_Obot(tc_fun(_u14893, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14895, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14893, tc_fun(_u14895, tc_HOL_Obool)), _u14891), _u14897)), _u14899) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14895, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14895, tc_HOL_Obool))), _u14899)) )).
% 12.21/12.46 cnf(matrix-6443, plain, ( ( _u14892 = c_Orderings_Obot__class_Obot(tc_fun(_u14894, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14896, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14894, tc_fun(_u14896, tc_HOL_Obool)), _u14892), _u14898)), _u14900) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14894, tc_fun(_u14896, tc_HOL_Obool)), _u14892), hAPP(hAPP(c_COMBC(_u14894, tc_fun(_u14896, tc_HOL_Obool), tc_fun(_u14896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14896, tc_HOL_Obool), tc_fun(tc_fun(_u14896, tc_HOL_Obool), tc_fun(_u14896, tc_HOL_Obool)), _u14894), c_Groups_Ominus__class_Ominus(tc_fun(_u14896, tc_HOL_Obool))), _u14898)), _u14900))) )).
% 12.21/12.46 cnf(matrix-6444, plain, ( ( _u14906 != c_Orderings_Obot__class_Obot(tc_fun(_u14908, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14908, tc_fun(_u14910, tc_HOL_Obool)), _u14906), hAPP(hAPP(c_COMBC(_u14908, tc_fun(_u14910, tc_HOL_Obool), tc_fun(_u14910, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14910, tc_HOL_Obool), tc_fun(tc_fun(_u14910, tc_HOL_Obool), tc_fun(_u14910, tc_HOL_Obool)), _u14908), c_Groups_Ominus__class_Ominus(tc_fun(_u14910, tc_HOL_Obool))), _u14912)), _u14914)) = c_Orderings_Otop__class_Otop(tc_fun(_u14910, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6445, plain, ( ( _u14907 = c_Orderings_Obot__class_Obot(tc_fun(_u14909, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14911, tc_HOL_Obool)), _u14907), hAPP(hAPP(c_COMBC(_u14909, tc_fun(_u14911, tc_HOL_Obool), tc_fun(_u14911, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14911, tc_HOL_Obool), tc_fun(tc_fun(_u14911, tc_HOL_Obool), tc_fun(_u14911, tc_HOL_Obool)), _u14909), c_Groups_Ominus__class_Ominus(tc_fun(_u14911, tc_HOL_Obool))), _u14913)), _u14915)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14911, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14911, tc_HOL_Obool)), _u14907), _u14913)), _u14915)) )).
% 12.21/12.46 cnf(matrix-6446, plain, ( ( _u14921 != c_Orderings_Obot__class_Obot(tc_fun(_u14923, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14925, tc_HOL_Obool)), _u14927), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14923, tc_fun(_u14925, tc_HOL_Obool)), _u14921), _u14929)) = _u14927) )).
% 12.21/12.46 cnf(matrix-6447, plain, ( ( _u14922 = c_Orderings_Obot__class_Obot(tc_fun(_u14924, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14926, tc_HOL_Obool)), _u14928), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14924, tc_fun(_u14926, tc_HOL_Obool)), _u14922), _u14930)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14924, tc_fun(_u14926, tc_HOL_Obool)), _u14922), hAPP(hAPP(c_COMBB(tc_fun(_u14926, tc_HOL_Obool), tc_fun(_u14926, tc_HOL_Obool), _u14924), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14926, tc_HOL_Obool)), _u14928)), _u14930))) )).
% 12.21/12.46 cnf(matrix-6448, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14931) | ~hBOOL(hAPP(hAPP(c_member(_u14932), _u14933), _u14934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14931), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14932, _u14931), _u14934), _u14935)), hAPP(_u14935, _u14933))) )).
% 12.21/12.46 cnf(matrix-6449, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6450, plain, ( ( _u14941 != c_Orderings_Obot__class_Obot(tc_fun(_u14943, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14943, tc_fun(_u14945, tc_HOL_Obool)), _u14941), hAPP(hAPP(c_COMBB(tc_fun(_u14945, tc_HOL_Obool), tc_fun(_u14945, tc_HOL_Obool), _u14943), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14945, tc_HOL_Obool)), _u14947)), _u14949)) = c_Orderings_Otop__class_Otop(tc_fun(_u14945, tc_HOL_Obool))) )).
% 12.21/12.46 cnf(matrix-6451, plain, ( ( _u14942 = c_Orderings_Obot__class_Obot(tc_fun(_u14944, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14944, tc_fun(_u14946, tc_HOL_Obool)), _u14942), hAPP(hAPP(c_COMBB(tc_fun(_u14946, tc_HOL_Obool), tc_fun(_u14946, tc_HOL_Obool), _u14944), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14946, tc_HOL_Obool)), _u14948)), _u14950)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14946, tc_HOL_Obool)), _u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14944, tc_fun(_u14946, tc_HOL_Obool)), _u14942), _u14950))) )).
% 12.21/12.46 cnf(matrix-6452, plain, ( ~c_Relation_Osingle__valued(_u14951, _u14952, hAPP(c_Relation_Oconverse(_u14952, _u14951), _u14953)) | ( _u14954 = c_Orderings_Obot__class_Obot(tc_fun(_u14955, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14952, _u14951, _u14953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14955, tc_fun(_u14952, tc_HOL_Obool)), _u14954), _u14956)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14955, tc_fun(_u14951, tc_HOL_Obool)), _u14954), hAPP(hAPP(c_COMBB(tc_fun(_u14952, tc_HOL_Obool), tc_fun(_u14951, tc_HOL_Obool), _u14955), c_Relation_OImage(_u14952, _u14951, _u14953)), _u14956))) )).
% 12.21/12.46 cnf(matrix-6453, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14958), _u14959)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14957), _u14960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14958, _u14957), _u14959), _u14961)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14958, _u14957, hAPP(hAPP(c_COMBB(_u14957, tc_fun(_u14957, _u14957), _u14958), c_Lattices_Osemilattice__inf__class_Oinf(_u14957)), _u14961)), _u14960), _u14959)) )).
% 12.21/12.46 cnf(matrix-6454, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14962), _u14963)) | ( c_Complete__Lattice_OInf__class_OInf(_u14962, _u14963) = hAPP(hAPP(c_Finite__Set_Ofold(_u14962, _u14962, c_Lattices_Osemilattice__inf__class_Oinf(_u14962)), c_Orderings_Otop__class_Otop(_u14962)), _u14963)) )).
% 12.21/12.46 cnf(matrix-6455, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14964) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14964), _u14965)) | ( c_Complete__Lattice_OSup__class_OSup(_u14964, _u14965) = hAPP(hAPP(c_Finite__Set_Ofold(_u14964, _u14964, c_Lattices_Osemilattice__sup__class_Osup(_u14964)), c_Orderings_Obot__class_Obot(_u14964)), _u14965)) )).
% 12.21/12.46 cnf(matrix-6456, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14967, tc_HOL_Obool)), _u14966), _u14968)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14967), _u14966)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14967), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14967, tc_HOL_Obool), _u14968))) )).
% 12.21/12.46 cnf(matrix-6457, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14969, tc_HOL_Obool)), _u14970), _u14971)) | ~hBOOL(hAPP(hAPP(c_member(_u14969), _u14972), _u14970)) | hBOOL(hAPP(hAPP(c_member(_u14969), _u14972), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u14969, tc_HOL_Obool), _u14971))) )).
% 12.21/12.46 cnf(matrix-6458, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14973), _u14974), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14973, tc_HOL_Obool), _u14975))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14973, tc_HOL_Obool)), _u14976), _u14975)) | hBOOL(hAPP(hAPP(c_member(_u14973), _u14974), _u14976)) )).
% 12.21/12.46 cnf(matrix-6459, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14977), _u14978), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14977, tc_HOL_Obool), _u14979))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u14977, tc_HOL_Obool)), _u14980), _u14979)) | hBOOL(hAPP(hAPP(c_member(_u14977), _u14978), _u14980)) )).
% 12.21/12.46 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14990, tc_fun(_u14992, tc_fun(_u14994, tc_HOL_Obool))), _u14996), _u14998), _u15000), _u15002)) | ~hBOOL(hAPP(hAPP(c_member(_u14990), _u14981), _u14996)) | hBOOL(hAPP(hAPP(hAPP(_u14998, _u14981), _u15000), _u15002)) )).
% 12.21/12.46 cnf(matrix-6461, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14991, tc_fun(_u14993, tc_fun(_u14995, tc_HOL_Obool))), _u14997), _u14999), _u15001), _u15003)) | hBOOL(hAPP(hAPP(c_member(_u14991), skolem371(_u15003, _u15001, _u14999, _u14997, _u14995, _u14993, _u14991)), _u14997)) )).
% 12.21/12.46 cnf(matrix-6462, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14991, tc_fun(_u14993, tc_fun(_u14995, tc_HOL_Obool))), _u14997), _u14999), _u15001), _u15003)) | ~hBOOL(hAPP(hAPP(hAPP(_u14999, skolem371(_u15003, _u15001, _u14999, _u14997, _u14995, _u14993, _u14991)), _u15001), _u15003)) )).
% 12.21/12.46 cnf(matrix-6463, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15004, tc_HOL_Obool), tc_fun(_u15005, tc_HOL_Obool)), _u15006), hAPP(hAPP(c_COMBC(tc_fun(_u15004, tc_HOL_Obool), tc_fun(_u15004, tc_fun(_u15005, tc_HOL_Obool)), tc_fun(_u15005, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15004, tc_fun(_u15005, tc_HOL_Obool))), _u15007)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15004, tc_fun(_u15005, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15004, tc_HOL_Obool), _u15006)), _u15007)) )).
% 12.21/12.46 cnf(matrix-6464, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15008, tc_fun(_u15009, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15008, tc_HOL_Obool), _u15010)), _u15011) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15008, tc_HOL_Obool), tc_fun(_u15009, tc_HOL_Obool)), _u15010), hAPP(hAPP(c_COMBC(tc_fun(_u15008, tc_HOL_Obool), tc_fun(_u15008, tc_fun(_u15009, tc_HOL_Obool)), tc_fun(_u15009, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15008, tc_fun(_u15009, tc_HOL_Obool))), _u15011))) )).
% 12.21/12.46 cnf(matrix-6465, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15019, tc_fun(_u15021, tc_HOL_Obool)), _u15023), _u15025), _u15027)) | ~hBOOL(hAPP(hAPP(c_member(_u15019), _u15012), _u15023)) | hBOOL(hAPP(hAPP(_u15025, _u15012), _u15027)) )).
% 12.21/12.46 cnf(matrix-6466, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15020, tc_fun(_u15022, tc_HOL_Obool)), _u15024), _u15026), _u15028)) | hBOOL(hAPP(hAPP(c_member(_u15020), skolem372(_u15028, _u15026, _u15024, _u15022, _u15020)), _u15024)) )).
% 12.21/12.46 cnf(matrix-6467, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15020, tc_fun(_u15022, tc_HOL_Obool)), _u15024), _u15026), _u15028)) | ~hBOOL(hAPP(hAPP(_u15026, skolem372(_u15028, _u15026, _u15024, _u15022, _u15020)), _u15028)) )).
% 12.21/12.46 cnf(matrix-6468, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15029, tc_fun(_u15030, tc_HOL_Obool)), _u15031), _u15032) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15030, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15029, tc_fun(_u15030, tc_HOL_Obool), _u15032), _u15031))) )).
% 12.21/12.46 cnf(matrix-6469, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15033, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15034, tc_fun(_u15033, tc_HOL_Obool), _u15035), _u15036)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15034, tc_fun(_u15033, tc_HOL_Obool)), _u15036), _u15035)) )).
% 12.21/12.46 cnf(matrix-6470, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15037, tc_HOL_Obool)), _u15038), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15037, tc_HOL_Obool), _u15039)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15037, tc_HOL_Obool), tc_fun(_u15037, tc_HOL_Obool)), _u15039), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15037, tc_HOL_Obool)), _u15038))) )).
% 12.21/12.46 cnf(matrix-6471, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15040, tc_HOL_Obool)), _u15041), _u15042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15040, tc_HOL_Obool)), _u15041), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15040, tc_HOL_Obool), _u15042))) )).
% 12.21/12.46 cnf(matrix-6472, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), c_Complete__Lattice_OSup__class_OSup(_u15045, _u15046)), _u15047)) | ~hBOOL(hAPP(hAPP(c_member(_u15045), _u15043), _u15046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), _u15043), _u15047)) )).
% 12.21/12.46 cnf(matrix-6473, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), c_Complete__Lattice_OSup__class_OSup(_u15045, _u15046)), _u15047)) | hBOOL(hAPP(hAPP(c_member(_u15045), skolem373(_u15047, _u15046, _u15045)), _u15046)) )).
% 12.21/12.46 cnf(matrix-6474, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), c_Complete__Lattice_OSup__class_OSup(_u15045, _u15046)), _u15047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15045), skolem373(_u15047, _u15046, _u15045)), _u15047)) )).
% 12.21/12.46 cnf(matrix-6475, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), c_Complete__Lattice_OInf__class_OInf(_u15050, _u15052))) | ~hBOOL(hAPP(hAPP(c_member(_u15050), _u15048), _u15052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), _u15048)) )).
% 12.21/12.47 cnf(matrix-6476, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), c_Complete__Lattice_OInf__class_OInf(_u15050, _u15052))) | hBOOL(hAPP(hAPP(c_member(_u15050), skolem374(_u15052, _u15051, _u15050)), _u15052)) )).
% 12.21/12.47 cnf(matrix-6477, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), c_Complete__Lattice_OInf__class_OInf(_u15050, _u15052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), _u15051), skolem374(_u15052, _u15051, _u15050))) )).
% 12.21/12.47 cnf(matrix-6478, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15055) | ~class_Orderings_Olinorder(_u15055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), c_Complete__Lattice_OSup__class_OSup(_u15055, _u15057))) | hBOOL(hAPP(hAPP(c_member(_u15055), skolem375(_u15057, _u15056, _u15055)), _u15057)) )).
% 12.21/12.47 cnf(matrix-6479, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15055) | ~class_Orderings_Olinorder(_u15055) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), c_Complete__Lattice_OSup__class_OSup(_u15055, _u15057))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), skolem375(_u15057, _u15056, _u15055))) )).
% 12.21/12.47 cnf(matrix-6480, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15055) | ~class_Orderings_Olinorder(_u15055) | ~hBOOL(hAPP(hAPP(c_member(_u15055), _u15054), _u15057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), _u15054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15055), _u15056), c_Complete__Lattice_OSup__class_OSup(_u15055, _u15057))) )).
% 12.21/12.47 cnf(matrix-6481, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15060) | ~class_Orderings_Olinorder(_u15060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), c_Complete__Lattice_OInf__class_OInf(_u15060, _u15061)), _u15062)) | hBOOL(hAPP(hAPP(c_member(_u15060), skolem376(_u15062, _u15061, _u15060)), _u15061)) )).
% 12.21/12.47 cnf(matrix-6482, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15060) | ~class_Orderings_Olinorder(_u15060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), c_Complete__Lattice_OInf__class_OInf(_u15060, _u15061)), _u15062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), skolem376(_u15062, _u15061, _u15060)), _u15062)) )).
% 12.21/12.47 cnf(matrix-6483, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15060) | ~class_Orderings_Olinorder(_u15060) | ~hBOOL(hAPP(hAPP(c_member(_u15060), _u15059), _u15061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), _u15059), _u15062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15060), c_Complete__Lattice_OInf__class_OInf(_u15060, _u15061)), _u15062)) )).
% 12.21/12.47 cnf(matrix-6484, plain, ( ( hAPP(c_Relation_OField(_u15063), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15063, _u15063), tc_HOL_Obool), _u15064)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15063, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u15063, _u15063), tc_HOL_Obool), tc_fun(_u15063, tc_HOL_Obool), c_Relation_OField(_u15063)), _u15064))) )).
% 12.21/12.47 cnf(matrix-6485, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15065, tc_HOL_Obool), hAPP(c_Set_OPow(_u15065), _u15066)) = _u15066) )).
% 12.21/12.47 cnf(matrix-6486, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15072, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15072, tc_HOL_Obool), _u15074)), _u15076) != c_Orderings_Obot__class_Obot(tc_fun(_u15072, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15072, tc_HOL_Obool)), _u15067), _u15074)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15072, tc_HOL_Obool)), _u15067), _u15076) = c_Orderings_Obot__class_Obot(tc_fun(_u15072, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6487, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15073, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15073, tc_HOL_Obool), _u15075)), _u15077) = c_Orderings_Obot__class_Obot(tc_fun(_u15073, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15073, tc_HOL_Obool)), skolem377(_u15077, _u15075, _u15073)), _u15075)) )).
% 12.21/12.47 cnf(matrix-6488, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15073, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15073, tc_HOL_Obool), _u15075)), _u15077) = c_Orderings_Obot__class_Obot(tc_fun(_u15073, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15073, tc_HOL_Obool)), skolem377(_u15077, _u15075, _u15073)), _u15077) != c_Orderings_Obot__class_Obot(tc_fun(_u15073, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6489, plain, ( ( hAPP(c_Relation_ODomain(_u15078, _u15079), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15078, _u15079), tc_HOL_Obool), _u15080)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15078, _u15079), tc_HOL_Obool), tc_fun(_u15078, tc_HOL_Obool)), _u15080), c_Relation_ODomain(_u15078, _u15079))) )).
% 12.21/12.47 cnf(matrix-6490, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15081, tc_fun(_u15082, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15081, tc_HOL_Obool), _u15083)), _u15084) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15081, tc_HOL_Obool), tc_fun(_u15082, tc_HOL_Obool)), _u15083), hAPP(hAPP(c_COMBC(tc_fun(_u15081, tc_HOL_Obool), tc_fun(_u15081, tc_fun(_u15082, tc_HOL_Obool)), tc_fun(_u15082, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15081, tc_fun(_u15082, tc_HOL_Obool))), _u15084))) )).
% 12.21/12.47 cnf(matrix-6491, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15085, tc_HOL_Obool), tc_fun(_u15086, tc_HOL_Obool)), _u15087), hAPP(hAPP(c_COMBC(tc_fun(_u15085, tc_HOL_Obool), tc_fun(_u15085, tc_fun(_u15086, tc_HOL_Obool)), tc_fun(_u15086, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15085, tc_fun(_u15086, tc_HOL_Obool))), _u15088)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15085, tc_fun(_u15086, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15085, tc_HOL_Obool), _u15087)), _u15088)) )).
% 12.21/12.47 cnf(matrix-6492, plain, ( ( hAPP(c_Relation_ORange(_u15089, _u15090), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15089, _u15090), tc_HOL_Obool), _u15091)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15089, _u15090), tc_HOL_Obool), tc_fun(_u15090, tc_HOL_Obool)), _u15091), c_Relation_ORange(_u15089, _u15090))) )).
% 12.21/12.47 cnf(matrix-6493, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15092, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15092, tc_HOL_Obool), _u15093)), _u15094) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15092, tc_HOL_Obool), tc_fun(_u15092, tc_HOL_Obool)), _u15093), hAPP(hAPP(c_COMBC(tc_fun(_u15092, tc_HOL_Obool), tc_fun(_u15092, tc_HOL_Obool), tc_fun(_u15092, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15092, tc_HOL_Obool))), _u15094))) )).
% 12.21/12.47 cnf(matrix-6494, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15095, tc_HOL_Obool)), _u15096), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15095, tc_HOL_Obool), _u15097)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15095, tc_HOL_Obool), tc_fun(_u15095, tc_HOL_Obool)), _u15097), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15095, tc_HOL_Obool)), _u15096))) )).
% 12.21/12.47 cnf(matrix-6495, plain, ( ( hAPP(c_Set_Ovimage(_u15098, _u15099, _u15100), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15099, tc_HOL_Obool), _u15101)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15099, tc_HOL_Obool), tc_fun(_u15098, tc_HOL_Obool)), _u15101), c_Set_Ovimage(_u15098, _u15099, _u15100))) )).
% 12.21/12.47 cnf(matrix-6496, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u15102, _u15103), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15102, tc_HOL_Obool), _u15104)), _u15105) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15102, tc_HOL_Obool), tc_fun(tc_prod(_u15102, _u15103), tc_HOL_Obool)), _u15104), hAPP(hAPP(c_COMBC(tc_fun(_u15102, tc_HOL_Obool), tc_fun(_u15102, tc_fun(_u15103, tc_HOL_Obool)), tc_fun(tc_prod(_u15102, _u15103), tc_HOL_Obool)), c_Product__Type_OSigma(_u15102, _u15103)), _u15105))) )).
% 12.21/12.47 cnf(matrix-6497, plain, ( ( hAPP(c_Set_Oimage(_u15106, _u15107, _u15108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15106, tc_HOL_Obool), _u15109)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15106, tc_HOL_Obool), tc_fun(_u15107, tc_HOL_Obool)), _u15109), c_Set_Oimage(_u15106, _u15107, _u15108))) )).
% 12.21/12.47 cnf(matrix-6498, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15110, tc_HOL_Obool)), _u15111), _u15112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15110, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15110, tc_HOL_Obool), _u15112)), _u15111)) )).
% 12.21/12.47 cnf(matrix-6499, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15113) | ( c_Complete__Lattice_OSup__class_OSup(_u15113, _u15114) = c_Complete__Lattice_OInf__class_OInf(_u15113, hAPP(c_Set_OCollect(_u15113), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_HOL_Obool), tc_HOL_Obool, _u15113), c_HOL_OAll(_u15113)), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_HOL_Obool), tc_fun(_u15113, tc_HOL_Obool), _u15113), hAPP(c_COMBS(_u15113, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15113), c_fimplies), hAPP(hAPP(c_COMBC(_u15113, tc_fun(_u15113, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15113)), _u15114)))), hAPP(c_COMBC(_u15113, _u15113, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u15113))))))) )).
% 12.21/12.47 cnf(matrix-6500, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15115) | ( c_Complete__Lattice_OInf__class_OInf(_u15115, _u15116) = c_Complete__Lattice_OSup__class_OSup(_u15115, hAPP(c_Set_OCollect(_u15115), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_HOL_Obool, _u15115), c_HOL_OAll(_u15115)), hAPP(hAPP(c_COMBB(tc_fun(_u15115, tc_HOL_Obool), tc_fun(_u15115, tc_HOL_Obool), _u15115), hAPP(c_COMBS(_u15115, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15115), c_fimplies), hAPP(hAPP(c_COMBC(_u15115, tc_fun(_u15115, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15115)), _u15116)))), c_Orderings_Oord__class_Oless__eq(_u15115)))))) )).
% 12.21/12.47 cnf(matrix-6501, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15117, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15117, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15117, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15118, tc_HOL_Obool), tc_HOL_Obool)), _u15119), _u15120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15118, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15118, tc_HOL_Obool), _u15119)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15118, tc_HOL_Obool), _u15120))) )).
% 12.21/12.47 cnf(matrix-6503, plain, ( ~c_Equiv__Relations_Oequiv(_u15121, _u15122, _u15123) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15121, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u15121), _u15122), _u15123)) = _u15122) )).
% 12.21/12.47 cnf(matrix-6504, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15124, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15124, tc_HOL_Obool)), _u15125), _u15126)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15124, tc_HOL_Obool)), _u15125), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15124, tc_HOL_Obool), _u15126))) )).
% 12.21/12.47 cnf(matrix-6505, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15127), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15127, tc_HOL_Obool), _u15128))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15127, tc_HOL_Obool)), _u15128)) )).
% 12.21/12.47 cnf(matrix-6506, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15129, tc_HOL_Obool), tc_HOL_Obool)), _u15130), hAPP(c_Set_OPow(_u15129), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15129, tc_HOL_Obool), _u15130)))) )).
% 12.21/12.47 cnf(matrix-6507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15131, tc_HOL_Obool), tc_HOL_Obool)), _u15132), _u15133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15131, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15131, tc_HOL_Obool), _u15133)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15131, tc_HOL_Obool), _u15132))) )).
% 12.21/12.47 cnf(matrix-6508, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15134, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15134, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15134, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6509, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15135, tc_HOL_Obool), _u15136) = hAPP(c_Set_OCollect(_u15135), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u15135), c_HOL_OAll(tc_fun(_u15135, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), _u15135), hAPP(c_COMBS(tc_fun(_u15135, 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(_u15135, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u15135, tc_HOL_Obool), tc_fun(tc_fun(_u15135, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u15135, tc_HOL_Obool))), _u15136)))), c_member(_u15135))))) )).
% 12.21/12.47 cnf(matrix-6510, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15137, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15137, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15137, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6511, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15138, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15138, tc_HOL_Obool), tc_HOL_Obool)), _u15139), _u15140)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15138, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15138, tc_HOL_Obool), _u15139)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15138, tc_HOL_Obool), _u15140))) )).
% 12.21/12.47 cnf(matrix-6512, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15141, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15141, tc_HOL_Obool)), _u15142), _u15143)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15141, tc_HOL_Obool)), _u15142), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15141, tc_HOL_Obool), _u15143))) )).
% 12.21/12.47 cnf(matrix-6513, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15144, tc_fun(_u15145, tc_HOL_Obool)), _u15146), _u15147) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15145, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15144, tc_fun(_u15145, tc_HOL_Obool), _u15147), _u15146))) )).
% 12.21/12.47 cnf(matrix-6514, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15148, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15149, tc_fun(_u15148, tc_HOL_Obool), _u15150), _u15151)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15149, tc_fun(_u15148, tc_HOL_Obool)), _u15151), _u15150)) )).
% 12.21/12.47 cnf(matrix-6515, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15152) | ~hBOOL(hAPP(hAPP(c_member(_u15152), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15152), _u15153), c_Complete__Lattice_OSup__class_OSup(_u15152, _u15154))) )).
% 12.21/12.47 cnf(matrix-6516, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15155, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15155, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15155, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6517, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15156) | ~hBOOL(hAPP(hAPP(c_member(_u15156), _u15157), _u15158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15156), c_Complete__Lattice_OInf__class_OInf(_u15156, _u15158)), _u15157)) )).
% 12.21/12.47 cnf(matrix-6518, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15159, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15159, tc_HOL_Obool), tc_HOL_Obool)), _u15160), _u15161)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15159, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15159, tc_HOL_Obool), _u15160)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15159, tc_HOL_Obool), _u15161))) )).
% 12.21/12.47 cnf(matrix-6519, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15162) | ( c_Complete__Lattice_OSup__class_OSup(_u15162, c_Orderings_Obot__class_Obot(tc_fun(_u15162, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15162)) )).
% 12.21/12.47 cnf(matrix-6520, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15163) | ( c_Complete__Lattice_OSup__class_OSup(_u15163, hAPP(hAPP(c_Set_Oinsert(_u15163), _u15164), c_Orderings_Obot__class_Obot(tc_fun(_u15163, tc_HOL_Obool)))) = _u15164) )).
% 12.21/12.47 cnf(matrix-6521, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15165) | ( c_Complete__Lattice_OSup__class_OSup(_u15165, hAPP(hAPP(c_Set_Oinsert(_u15165), _u15166), _u15167)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15165), _u15166), c_Complete__Lattice_OSup__class_OSup(_u15165, _u15167))) )).
% 12.21/12.47 cnf(matrix-6522, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15168, tc_fun(_u15169, tc_HOL_Obool)), _u15170), hAPP(hAPP(c_COMBS(_u15168, tc_fun(_u15169, tc_HOL_Obool), tc_fun(_u15169, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15169, tc_HOL_Obool), tc_fun(tc_fun(_u15169, tc_HOL_Obool), tc_fun(_u15169, tc_HOL_Obool)), _u15168), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15169, tc_HOL_Obool))), _u15171)), _u15172)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15169, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15169, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15168, tc_fun(_u15169, tc_HOL_Obool), _u15171), _u15170))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15169, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15168, tc_fun(_u15169, tc_HOL_Obool), _u15172), _u15170)))) )).
% 12.21/12.47 cnf(matrix-6523, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ( c_Complete__Lattice_OSup__class_OSup(_u15173, c_Orderings_Otop__class_Otop(tc_fun(_u15173, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15173)) )).
% 12.21/12.47 cnf(matrix-6524, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15174) | ( c_Complete__Lattice_OInf__class_OInf(_u15174, hAPP(hAPP(c_Set_Oinsert(_u15174), _u15175), c_Orderings_Obot__class_Obot(tc_fun(_u15174, tc_HOL_Obool)))) = _u15175) )).
% 12.21/12.47 cnf(matrix-6525, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15176) | ( c_Complete__Lattice_OInf__class_OInf(_u15176, c_Orderings_Obot__class_Obot(tc_fun(_u15176, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15176)) )).
% 12.21/12.47 cnf(matrix-6526, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15177) | ( c_Complete__Lattice_OInf__class_OInf(_u15177, c_Orderings_Otop__class_Otop(tc_fun(_u15177, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15177)) )).
% 12.21/12.47 cnf(matrix-6527, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | ( c_Complete__Lattice_OInf__class_OInf(_u15178, hAPP(hAPP(c_Set_Oinsert(_u15178), _u15179), _u15180)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15178), _u15179), c_Complete__Lattice_OInf__class_OInf(_u15178, _u15180))) )).
% 12.21/12.47 cnf(matrix-6528, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15181, tc_HOL_Obool)), _u15182), _u15183) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15181, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15181, tc_HOL_Obool)), _u15182), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15181, tc_HOL_Obool)), _u15183), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15181, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-6529, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15184, tc_fun(_u15185, tc_HOL_Obool)), _u15186), hAPP(hAPP(c_COMBS(_u15184, tc_fun(_u15185, tc_HOL_Obool), tc_fun(_u15185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15185, tc_HOL_Obool), tc_fun(tc_fun(_u15185, tc_HOL_Obool), tc_fun(_u15185, tc_HOL_Obool)), _u15184), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15185, tc_HOL_Obool))), _u15187)), _u15188)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15185, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15184, tc_fun(_u15185, tc_HOL_Obool), _u15187), _u15186))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15184, tc_fun(_u15185, tc_HOL_Obool), _u15188), _u15186)))) )).
% 12.21/12.47 cnf(matrix-6530, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15189, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15189, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15189, tc_HOL_Obool), tc_HOL_Obool)), _u15190), _u15191))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15189, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15189, tc_HOL_Obool), _u15190)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15189, tc_HOL_Obool), _u15191)))) )).
% 12.21/12.47 cnf(matrix-6531, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), _u15193), _u15194) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15192, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15192, tc_HOL_Obool)), _u15193), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15192, tc_HOL_Obool)), _u15194), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15192, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-6532, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15195, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15195, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15195, tc_HOL_Obool), _u15196)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15195, tc_HOL_Obool), _u15197))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15195, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15195, tc_HOL_Obool), tc_HOL_Obool)), _u15196), _u15197)))) )).
% 12.21/12.47 cnf(matrix-6533, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15198) | ( c_Complete__Lattice_OSup__class_OSup(_u15198, hAPP(hAPP(c_Set_Oinsert(_u15198), _u15199), hAPP(hAPP(c_Set_Oinsert(_u15198), _u15200), c_Orderings_Obot__class_Obot(tc_fun(_u15198, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15198), _u15199), _u15200)) )).
% 12.21/12.47 cnf(matrix-6534, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15201) | ( c_Complete__Lattice_OInf__class_OInf(_u15201, hAPP(hAPP(c_Set_Oinsert(_u15201), _u15202), hAPP(hAPP(c_Set_Oinsert(_u15201), _u15203), c_Orderings_Obot__class_Obot(tc_fun(_u15201, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15201), _u15202), _u15203)) )).
% 12.21/12.47 cnf(matrix-6535, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15204), _u15205)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15204), _u15206), c_Complete__Lattice_OSup__class_OSup(_u15204, _u15205)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15204, _u15204, c_Lattices_Osemilattice__sup__class_Osup(_u15204)), _u15206), _u15205)) )).
% 12.21/12.47 cnf(matrix-6536, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15207), _u15208)) | ( _u15208 = c_Orderings_Obot__class_Obot(tc_fun(_u15207, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15207, _u15208) = c_Complete__Lattice_OSup__class_OSup(_u15207, _u15208)) )).
% 12.21/12.47 cnf(matrix-6537, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15209) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15209), _u15210)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15209), _u15211), c_Complete__Lattice_OInf__class_OInf(_u15209, _u15210)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15209, _u15209, c_Lattices_Osemilattice__inf__class_Oinf(_u15209)), _u15211), _u15210)) )).
% 12.21/12.47 cnf(matrix-6538, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15212), _u15213)) | ( _u15213 = c_Orderings_Obot__class_Obot(tc_fun(_u15212, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15212, _u15213) = c_Complete__Lattice_OInf__class_OInf(_u15212, _u15213)) )).
% 12.21/12.47 cnf(matrix-6539, plain, ( ~c_Fun_Oinj__on(_u15215, _u15216, _u15217, _u15218) | ~hBOOL(hAPP(hAPP(c_member(_u15219), _u15222), _u15220)) | ( hAPP(c_Set_Oimage(_u15215, _u15216, _u15217), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15215, tc_HOL_Obool)), _u15220), _u15221)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15216, tc_HOL_Obool)), _u15220), hAPP(hAPP(c_COMBB(tc_fun(_u15215, tc_HOL_Obool), tc_fun(_u15216, tc_HOL_Obool), _u15219), c_Set_Oimage(_u15215, _u15216, _u15217)), _u15221))) | hBOOL(hAPP(hAPP(c_member(_u15219), skolem378(_u15222, _u15221, _u15220, _u15219, _u15218, _u15217, _u15216, _u15215)), _u15220)) )).
% 12.21/12.47 cnf(matrix-6540, plain, ( ~c_Fun_Oinj__on(_u15215, _u15216, _u15217, _u15218) | ~hBOOL(hAPP(hAPP(c_member(_u15219), _u15222), _u15220)) | ( hAPP(c_Set_Oimage(_u15215, _u15216, _u15217), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15215, tc_HOL_Obool)), _u15220), _u15221)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15219, tc_fun(_u15216, tc_HOL_Obool)), _u15220), hAPP(hAPP(c_COMBB(tc_fun(_u15215, tc_HOL_Obool), tc_fun(_u15216, tc_HOL_Obool), _u15219), c_Set_Oimage(_u15215, _u15216, _u15217)), _u15221))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15215, tc_HOL_Obool)), hAPP(_u15221, skolem378(_u15222, _u15221, _u15220, _u15219, _u15218, _u15217, _u15216, _u15215))), _u15218)) )).
% 12.21/12.47 cnf(matrix-6541, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.47 cnf(matrix-6542, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem381(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.47 cnf(matrix-6543, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( skolem380(_u15228, _u15227, _u15226) != skolem381(_u15228, _u15227, _u15226)) )).
% 12.21/12.47 cnf(matrix-6544, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem379(_u15228, _u15227, _u15226)), _u15227)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), skolem381(_u15228, _u15227, _u15226)) != c_Orderings_Obot__class_Obot(tc_fun(_u15226, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6545, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.47 cnf(matrix-6546, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15226, tc_HOL_Obool)), skolem381(_u15228, _u15227, _u15226)), _u15227)) )).
% 12.21/12.47 cnf(matrix-6547, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( skolem380(_u15228, _u15227, _u15226) != skolem381(_u15228, _u15227, _u15226)) )).
% 12.21/12.47 cnf(matrix-6548, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(c_Finite__Set_Ocard(_u15226), skolem379(_u15228, _u15227, _u15226)) != _u15228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15228), hAPP(c_Finite__Set_Ocard(tc_fun(_u15226, tc_HOL_Obool)), _u15227)) = hAPP(c_Finite__Set_Ocard(_u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15226, tc_HOL_Obool), _u15227))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15226, tc_HOL_Obool)), skolem380(_u15228, _u15227, _u15226)), skolem381(_u15228, _u15227, _u15226)) != c_Orderings_Obot__class_Obot(tc_fun(_u15226, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6549, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15229, tc_HOL_Obool), _u15230) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15229, tc_HOL_Obool), tc_fun(_u15229, tc_HOL_Obool)), _u15230), c_COMBI(tc_fun(_u15229, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6550, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15231, tc_HOL_Obool), _u15232) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15231, tc_HOL_Obool), tc_fun(_u15231, tc_HOL_Obool)), _u15232), c_COMBI(tc_fun(_u15231, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6551, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15234, tc_HOL_Obool)), _u15235)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15234), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15234, tc_HOL_Obool), _u15235))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15234, tc_HOL_Obool)), skolem382(_u15235, _u15234)), _u15235)) )).
% 12.21/12.47 cnf(matrix-6552, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15234, tc_HOL_Obool)), _u15235)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15234), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15234, tc_HOL_Obool), _u15235))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15234), skolem382(_u15235, _u15234))) )).
% 12.21/12.47 cnf(matrix-6553, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), skolem383(_u15240, _u15239, _u15238)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240))) )).
% 12.21/12.47 cnf(matrix-6554, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), skolem384(_u15240, _u15239, _u15238)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240))) )).
% 12.21/12.47 cnf(matrix-6555, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | ( skolem383(_u15240, _u15239, _u15238) != skolem384(_u15240, _u15239, _u15238)) )).
% 12.21/12.47 cnf(matrix-6556, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15238, tc_HOL_Obool)), _u15239), _u15240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), _u15239), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15238, tc_HOL_Obool), _u15240)) = c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15238, tc_HOL_Obool)), skolem383(_u15240, _u15239, _u15238)), skolem384(_u15240, _u15239, _u15238)) != c_Orderings_Obot__class_Obot(tc_fun(_u15238, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6557, plain, ( ( _u15242 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15243, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15243, _u15244, _u15245, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15243, tc_HOL_Obool), _u15242)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15243, tc_HOL_Obool)), skolem385(_u15245, _u15244, _u15243, _u15242)), _u15242)) )).
% 12.21/12.47 cnf(matrix-6558, plain, ( ( _u15242 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15243, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15243, _u15244, _u15245, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15243, tc_HOL_Obool), _u15242)) | ~c_Fun_Oinj__on(_u15243, _u15244, _u15245, skolem385(_u15245, _u15244, _u15243, _u15242)) )).
% 12.21/12.47 cnf(matrix-6559, plain, ( ( _u15248 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15247, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15247, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15247, tc_HOL_Obool), _u15248)), _u15249)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15247, tc_HOL_Obool)), skolem386(_u15249, _u15248, _u15247)), _u15248)) )).
% 12.21/12.47 cnf(matrix-6560, plain, ( ( _u15248 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15247, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15247, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15247, tc_HOL_Obool), _u15248)), _u15249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15247, tc_HOL_Obool)), skolem386(_u15249, _u15248, _u15247)), _u15249)) )).
% 12.21/12.47 cnf(matrix-6561, plain, ( ( _u15251 = c_Orderings_Obot__class_Obot(tc_fun(_u15252, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15253, _u15254, _u15255, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15252, tc_fun(_u15253, tc_HOL_Obool)), _u15251), _u15256)) | hBOOL(hAPP(hAPP(c_member(_u15252), skolem387(_u15256, _u15255, _u15254, _u15253, _u15252, _u15251)), _u15251)) )).
% 12.21/12.47 cnf(matrix-6562, plain, ( ( _u15251 = c_Orderings_Obot__class_Obot(tc_fun(_u15252, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15253, _u15254, _u15255, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15252, tc_fun(_u15253, tc_HOL_Obool)), _u15251), _u15256)) | ~c_Fun_Oinj__on(_u15253, _u15254, _u15255, hAPP(_u15256, skolem387(_u15256, _u15255, _u15254, _u15253, _u15252, _u15251))) )).
% 12.21/12.47 cnf(matrix-6563, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15258, _u15259, _u15260) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15258, _u15259, _u15260, _u15261, hAPP(hAPP(c_Set_Oinsert(_u15258), _u15262), _u15263)), _u15264)) | hBOOL(hAPP(hAPP(c_member(_u15258), _u15262), _u15263)) | ( _u15264 = hAPP(hAPP(_u15260, _u15262), skolem388(_u15264, _u15263, _u15262, _u15261, _u15260, _u15259, _u15258))) )).
% 12.21/12.47 cnf(matrix-6564, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15258, _u15259, _u15260) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15258, _u15259, _u15260, _u15261, hAPP(hAPP(c_Set_Oinsert(_u15258), _u15262), _u15263)), _u15264)) | hBOOL(hAPP(hAPP(c_member(_u15258), _u15262), _u15263)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15258, _u15259, _u15260, _u15261, _u15263), skolem388(_u15264, _u15263, _u15262, _u15261, _u15260, _u15259, _u15258))) )).
% 12.21/12.47 cnf(matrix-6565, plain, ( ~class_Orderings_Olinorder(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15266), _u15267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15266), hAPP(hAPP(c_Finite__Set_Ofold(_u15266, _u15266, c_Orderings_Oord__class_Omax(_u15266)), _u15269), _u15267)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15266), _u15268), _u15269))) | hBOOL(hAPP(hAPP(c_member(_u15266), skolem389(_u15269, _u15268, _u15267, _u15266)), _u15267)) )).
% 12.21/12.47 cnf(matrix-6566, plain, ( ~class_Orderings_Olinorder(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15266), _u15267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15266), hAPP(hAPP(c_Finite__Set_Ofold(_u15266, _u15266, c_Orderings_Oord__class_Omax(_u15266)), _u15269), _u15267)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15266), _u15268), _u15269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15266), skolem389(_u15269, _u15268, _u15267, _u15266)), _u15268)) )).
% 12.21/12.47 cnf(matrix-6567, plain, ( ~class_Orderings_Olinorder(_u15271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15271), _u15272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15271), _u15273), _u15274)), hAPP(hAPP(c_Finite__Set_Ofold(_u15271, _u15271, c_Orderings_Oord__class_Omin(_u15271)), _u15274), _u15272))) | hBOOL(hAPP(hAPP(c_member(_u15271), skolem390(_u15274, _u15273, _u15272, _u15271)), _u15272)) )).
% 12.21/12.47 cnf(matrix-6568, plain, ( ~class_Orderings_Olinorder(_u15271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15271), _u15272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15271), _u15273), _u15274)), hAPP(hAPP(c_Finite__Set_Ofold(_u15271, _u15271, c_Orderings_Oord__class_Omin(_u15271)), _u15274), _u15272))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), _u15273), skolem390(_u15274, _u15273, _u15272, _u15271))) )).
% 12.21/12.47 cnf(matrix-6569, plain, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15278), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15276, tc_HOL_Obool), _u15277))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15276, tc_HOL_Obool)), skolem391(_u15278, _u15277, _u15276)), _u15277)) )).
% 12.21/12.47 cnf(matrix-6570, plain, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15278), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15276, tc_HOL_Obool), _u15277))) | ~hBOOL(hAPP(hAPP(c_member(_u15276), _u15278), skolem391(_u15278, _u15277, _u15276))) )).
% 12.21/12.47 cnf(matrix-6571, plain, ( ~class_Lattices_Osemilattice__inf(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15280), _u15282), _u15283)), hAPP(hAPP(c_Finite__Set_Ofold(_u15280, _u15280, c_Lattices_Osemilattice__inf__class_Oinf(_u15280)), _u15283), _u15281))) | hBOOL(hAPP(hAPP(c_member(_u15280), skolem392(_u15283, _u15282, _u15281, _u15280)), _u15281)) )).
% 12.21/12.47 cnf(matrix-6572, plain, ( ~class_Lattices_Osemilattice__inf(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15280), _u15282), _u15283)), hAPP(hAPP(c_Finite__Set_Ofold(_u15280, _u15280, c_Lattices_Osemilattice__inf__class_Oinf(_u15280)), _u15283), _u15281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), _u15282), skolem392(_u15283, _u15282, _u15281, _u15280))) )).
% 12.21/12.47 cnf(matrix-6573, plain, ( ~class_Lattices_Osemilattice__sup(_u15285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15285), _u15286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15285), hAPP(hAPP(c_Finite__Set_Ofold(_u15285, _u15285, c_Lattices_Osemilattice__sup__class_Osup(_u15285)), _u15288), _u15286)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15285), _u15287), _u15288))) | hBOOL(hAPP(hAPP(c_member(_u15285), skolem393(_u15288, _u15287, _u15286, _u15285)), _u15286)) )).
% 12.21/12.47 cnf(matrix-6574, plain, ( ~class_Lattices_Osemilattice__sup(_u15285) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15285), _u15286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15285), hAPP(hAPP(c_Finite__Set_Ofold(_u15285, _u15285, c_Lattices_Osemilattice__sup__class_Osup(_u15285)), _u15288), _u15286)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15285), _u15287), _u15288))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15285), skolem393(_u15288, _u15287, _u15286, _u15285)), _u15287)) )).
% 12.21/12.47 cnf(matrix-6575, plain, ( ~class_Divides_Osemiring__div(_u15289) | ( _u15290 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15289), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15289), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u15289), _u15290), _u15291)), _u15291)), c_Divides_Odiv__class_Omod(_u15289, _u15290, _u15291))) )).
% 12.21/12.47 cnf(matrix-6576, plain, ( ~c_Wellfounded_Owf(_u15302, _u15304) | ~hBOOL(hAPP(hAPP(c_member(_u15302), _u15292), _u15295)) | hBOOL(hAPP(hAPP(c_member(_u15302), skolem394(_u15304, _u15302, _u15295)), _u15295)) )).
% 12.21/12.47 cnf(matrix-6577, plain, ( ~c_Wellfounded_Owf(_u15302, _u15304) | ~hBOOL(hAPP(hAPP(c_member(_u15302), _u15292), _u15295)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15302, _u15302)), hAPP(hAPP(c_Product__Type_OPair(_u15302, _u15302), _u15293), skolem394(_u15304, _u15302, _u15295))), _u15304)) | ~hBOOL(hAPP(hAPP(c_member(_u15302), _u15293), _u15295)) )).
% 12.21/12.47 cnf(matrix-6578, plain, ( c_Wellfounded_Owf(_u15303, _u15305) | hBOOL(hAPP(hAPP(c_member(_u15303), skolem396(_u15305, _u15303)), skolem395(_u15305, _u15303))) )).
% 12.21/12.47 cnf(matrix-6579, plain, ( c_Wellfounded_Owf(_u15303, _u15305) | ~hBOOL(hAPP(hAPP(c_member(_u15303), _u15298), skolem395(_u15305, _u15303))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15303, _u15303)), hAPP(hAPP(c_Product__Type_OPair(_u15303, _u15303), skolem397(_u15305, _u15303, _u15298)), _u15298)), _u15305)) )).
% 12.21/12.47 cnf(matrix-6580, plain, ( c_Wellfounded_Owf(_u15303, _u15305) | ~hBOOL(hAPP(hAPP(c_member(_u15303), _u15298), skolem395(_u15305, _u15303))) | hBOOL(hAPP(hAPP(c_member(_u15303), skolem397(_u15305, _u15303, _u15298)), skolem395(_u15305, _u15303))) )).
% 12.21/12.47 cnf(matrix-6581, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15307), _u15312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15307), _u15313)) | ( hAPP(_u15311, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15307, tc_HOL_Obool)), _u15312), _u15313)) = hAPP(hAPP(_u15308, hAPP(_u15311, _u15312)), hAPP(_u15311, _u15313))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15306, _u15307, _u15308, _u15309, _u15310, _u15311) )).
% 12.21/12.47 cnf(matrix-6582, plain, ( ( hAPP(hAPP(_u15316, _u15320), _u15320) = _u15320) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15314, _u15315, _u15316, _u15317, _u15318, _u15319) )).
% 12.21/12.47 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15322), _u15327)) | ~hBOOL(hAPP(hAPP(c_member(_u15322), _u15328), _u15327)) | ( hAPP(hAPP(_u15323, hAPP(_u15325, _u15328)), hAPP(_u15326, _u15327)) = hAPP(_u15326, _u15327)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15321, _u15322, _u15323, _u15324, _u15325, _u15326) )).
% 12.21/12.47 cnf(matrix-6584, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15330), _u15335)) | ( hAPP(_u15334, hAPP(hAPP(c_Set_Oinsert(_u15330), _u15336), _u15335)) = hAPP(hAPP(_u15331, hAPP(_u15333, _u15336)), hAPP(_u15334, _u15335))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15329, _u15330, _u15331, _u15332, _u15333, _u15334) )).
% 12.21/12.47 cnf(matrix-6585, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15338), _u15343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15338, tc_HOL_Obool)), _u15344), _u15343)) | ( hAPP(hAPP(_u15339, hAPP(_u15342, _u15344)), hAPP(_u15342, _u15343)) = hAPP(_u15342, _u15343)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15337, _u15338, _u15339, _u15340, _u15341, _u15342) )).
% 12.21/12.47 cnf(matrix-6586, 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)))), _u15346)) = 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)))), _u15347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem398(_u15347, _u15346))) )).
% 12.21/12.47 cnf(matrix-6587, 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)))), _u15346)) = 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)))), _u15347))) | hBOOL(hAPP(_u15346, skolem398(_u15347, _u15346))) | hBOOL(hAPP(_u15347, skolem398(_u15347, _u15346))) )).
% 12.21/12.47 cnf(matrix-6588, 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)))), _u15346)) = 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)))), _u15347))) | ~hBOOL(hAPP(_u15347, skolem398(_u15347, _u15346))) | ~hBOOL(hAPP(_u15346, skolem398(_u15347, _u15346))) )).
% 12.21/12.47 cnf(matrix-6589, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15349), _u15350), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15349, tc_HOL_Obool), _u15351))) | hBOOL(hAPP(hAPP(c_member(_u15349), _u15350), skolem399(_u15351, _u15350, _u15349))) )).
% 12.21/12.47 cnf(matrix-6590, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15349), _u15350), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15349, tc_HOL_Obool), _u15351))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15349, tc_HOL_Obool)), skolem399(_u15351, _u15350, _u15349)), _u15351)) )).
% 12.21/12.47 cnf(matrix-6591, plain, ( hBOOL(hAPP(hAPP(c_member(_u15352), _u15353), c_Map_Odom(_u15352, _u15354, _u15355))) | ( c_Map_Omap__add(_u15352, _u15354, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15352, tc_Option_Ooption(_u15354)), _u15356), _u15353), hAPP(c_Option_Ooption_OSome(_u15354), _u15357)), _u15355) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15352, tc_Option_Ooption(_u15354)), c_Map_Omap__add(_u15352, _u15354, _u15356, _u15355)), _u15353), hAPP(c_Option_Ooption_OSome(_u15354), _u15357))) )).
% 12.21/12.47 cnf(matrix-6592, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15360, _u15361)), _u15362), hAPP(c_Relation_Oconverse(_u15361, _u15360), _u15363))) | ( _u15362 = hAPP(hAPP(c_Product__Type_OPair(_u15360, _u15361), skolem401(_u15363, _u15362, _u15361, _u15360)), skolem400(_u15363, _u15362, _u15361, _u15360))) )).
% 12.21/12.47 cnf(matrix-6593, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15360, _u15361)), _u15362), hAPP(c_Relation_Oconverse(_u15361, _u15360), _u15363))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15361, _u15360)), hAPP(hAPP(c_Product__Type_OPair(_u15361, _u15360), skolem400(_u15363, _u15362, _u15361, _u15360)), skolem401(_u15363, _u15362, _u15361, _u15360))), _u15363)) )).
% 12.21/12.47 cnf(matrix-6594, plain, ( ( c_Map_Omap__add(_u15364, _u15365, hAPP(c_COMBK(tc_Option_Ooption(_u15365), _u15364), c_Option_Ooption_ONone(_u15365)), _u15366) = _u15366) )).
% 12.21/12.47 cnf(matrix-6595, plain, ( ( c_Map_Omap__add(_u15367, _u15368, _u15369, hAPP(c_COMBK(tc_Option_Ooption(_u15368), _u15367), c_Option_Ooption_ONone(_u15368))) = _u15369) )).
% 12.21/12.47 cnf(matrix-6596, plain, ( ( hAPP(c_Map_Omap__add(_u15370, _u15371, _u15372, _u15373), _u15374) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15371), _u15371, hAPP(_u15372, _u15374), c_Option_Ooption_OSome(_u15371)), hAPP(_u15373, _u15374))) )).
% 12.21/12.47 cnf(matrix-6597, plain, ( ( hAPP(c_Map_Omap__add(_u15380, _u15382, _u15384, _u15386), _u15388) != c_Option_Ooption_ONone(_u15382)) | ( hAPP(_u15386, _u15388) = c_Option_Ooption_ONone(_u15382)) )).
% 12.21/12.47 cnf(matrix-6598, plain, ( ( hAPP(c_Map_Omap__add(_u15380, _u15382, _u15384, _u15386), _u15388) != c_Option_Ooption_ONone(_u15382)) | ( hAPP(_u15384, _u15388) = c_Option_Ooption_ONone(_u15382)) )).
% 12.21/12.47 cnf(matrix-6599, plain, ( ( hAPP(_u15387, _u15389) != c_Option_Ooption_ONone(_u15383)) | ( hAPP(_u15385, _u15389) != c_Option_Ooption_ONone(_u15383)) | ( hAPP(c_Map_Omap__add(_u15381, _u15383, _u15385, _u15387), _u15389) = c_Option_Ooption_ONone(_u15383)) )).
% 12.21/12.47 cnf(matrix-6600, plain, ( ( hAPP(_u15390, _u15391) != hAPP(c_Option_Ooption_OSome(_u15392), _u15393)) | ( hAPP(c_Map_Omap__add(_u15394, _u15392, _u15395, _u15390), _u15391) = hAPP(c_Option_Ooption_OSome(_u15392), _u15393)) )).
% 12.21/12.47 cnf(matrix-6601, plain, ( ( c_Map_Omap__add(_u15396, _u15397, _u15398, c_Map_Omap__add(_u15396, _u15397, _u15399, _u15400)) = c_Map_Omap__add(_u15396, _u15397, c_Map_Omap__add(_u15396, _u15397, _u15398, _u15399), _u15400)) )).
% 12.21/12.47 cnf(matrix-6602, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15401), _u15402), c_Map_Odom(_u15401, _u15403, _u15404))) | ( hAPP(c_Map_Omap__add(_u15401, _u15403, _u15405, _u15404), _u15402) = hAPP(_u15404, _u15402)) )).
% 12.21/12.47 cnf(matrix-6603, plain, ( hBOOL(hAPP(hAPP(c_member(_u15406), _u15407), c_Map_Odom(_u15406, _u15408, _u15409))) | ( hAPP(c_Map_Omap__add(_u15406, _u15408, _u15410, _u15409), _u15407) = hAPP(_u15410, _u15407)) )).
% 12.21/12.47 cnf(matrix-6604, plain, ( hBOOL(hAPP(hAPP(c_member(_u15411), _u15412), c_Map_Odom(_u15411, _u15413, _u15414))) | ( hAPP(c_Map_Omap__add(_u15411, _u15413, _u15414, _u15415), _u15412) = hAPP(_u15415, _u15412)) )).
% 12.21/12.47 cnf(matrix-6605, plain, ( ( hAPP(c_Map_Omap__add(_u15416, _u15417, _u15418, _u15419), _u15420) != hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15419, _u15420) = hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15419, _u15420) = c_Option_Ooption_ONone(_u15417)) )).
% 12.21/12.47 cnf(matrix-6606, plain, ( ( hAPP(c_Map_Omap__add(_u15416, _u15417, _u15418, _u15419), _u15420) != hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15419, _u15420) = hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) | ( hAPP(_u15418, _u15420) = hAPP(c_Option_Ooption_OSome(_u15417), _u15421)) )).
% 12.21/12.47 cnf(matrix-6607, plain, ( ( hAPP(c_Map_Omap__add(_u15428, _u15430, _u15432, _u15434), _u15436) != hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15434, _u15436) = hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15434, _u15436) = c_Option_Ooption_ONone(_u15430)) )).
% 12.21/12.47 cnf(matrix-6608, plain, ( ( hAPP(c_Map_Omap__add(_u15428, _u15430, _u15432, _u15434), _u15436) != hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15434, _u15436) = hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) | ( hAPP(_u15432, _u15436) = hAPP(c_Option_Ooption_OSome(_u15430), _u15438)) )).
% 12.21/12.47 cnf(matrix-6609, plain, ( ( hAPP(c_Map_Omap__add(_u15429, _u15431, _u15433, _u15435), _u15437) = hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) | ( hAPP(_u15435, _u15437) != hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) )).
% 12.21/12.47 cnf(matrix-6610, plain, ( ( hAPP(c_Map_Omap__add(_u15429, _u15431, _u15433, _u15435), _u15437) = hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) | ( hAPP(_u15435, _u15437) != c_Option_Ooption_ONone(_u15431)) | ( hAPP(_u15433, _u15437) != hAPP(c_Option_Ooption_OSome(_u15431), _u15439)) )).
% 12.21/12.47 cnf(matrix-6611, plain, ( ( c_Map_Odom(_u15440, _u15441, c_Map_Omap__add(_u15440, _u15441, _u15442, _u15443)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15440, tc_HOL_Obool)), c_Map_Odom(_u15440, _u15441, _u15443)), c_Map_Odom(_u15440, _u15441, _u15442))) )).
% 12.21/12.47 cnf(matrix-6612, plain, ( ( c_Map_Omap__add(_u15444, _u15445, _u15446, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15444, tc_Option_Ooption(_u15445)), _u15447), _u15448), hAPP(c_Option_Ooption_OSome(_u15445), _u15449))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15444, tc_Option_Ooption(_u15445)), c_Map_Omap__add(_u15444, _u15445, _u15446, _u15447)), _u15448), hAPP(c_Option_Ooption_OSome(_u15445), _u15449))) )).
% 12.21/12.47 cnf(matrix-6613, plain, ( ~c_Fun_Oinj__on(_u15454, tc_Option_Ooption(_u15456), c_Map_Omap__add(_u15454, _u15456, _u15458, _u15460), c_Map_Odom(_u15454, _u15456, _u15460)) | c_Fun_Oinj__on(_u15454, tc_Option_Ooption(_u15456), _u15460, c_Map_Odom(_u15454, _u15456, _u15460)) )).
% 12.21/12.47 cnf(matrix-6614, plain, ( ~c_Fun_Oinj__on(_u15455, tc_Option_Ooption(_u15457), _u15461, c_Map_Odom(_u15455, _u15457, _u15461)) | c_Fun_Oinj__on(_u15455, tc_Option_Ooption(_u15457), c_Map_Omap__add(_u15455, _u15457, _u15459, _u15461), c_Map_Odom(_u15455, _u15457, _u15461)) )).
% 12.21/12.47 cnf(matrix-6615, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15462, tc_HOL_Obool)), c_Map_Odom(_u15462, _u15463, _u15464)), c_Map_Odom(_u15462, _u15463, _u15465)) != c_Orderings_Obot__class_Obot(tc_fun(_u15462, tc_HOL_Obool))) | ( c_Map_Omap__add(_u15462, _u15463, _u15464, _u15465) = c_Map_Omap__add(_u15462, _u15463, _u15465, _u15464)) )).
% 12.21/12.47 cnf(matrix-6616, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u15466)), hAPP(c_Set_Oimage(_u15467, tc_Option_Ooption(_u15466), _u15468), c_Orderings_Otop__class_Otop(tc_fun(_u15467, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u15466)), hAPP(c_Set_Oimage(_u15467, tc_Option_Ooption(_u15466), c_Map_Omap__add(_u15467, _u15466, _u15468, hAPP(c_Map_Omap__of(_u15467, _u15466), _u15469))), c_Orderings_Otop__class_Otop(tc_fun(_u15467, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-6617, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15474)), _u15475), hAPP(hAPP(c_Relation_Orel__comp(_u15473, _u15476, _u15474), _u15477), _u15478))) | ( _u15475 = hAPP(hAPP(c_Product__Type_OPair(_u15473, _u15474), skolem402(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473)), skolem404(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473))) )).
% 12.21/12.47 cnf(matrix-6618, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15474)), _u15475), hAPP(hAPP(c_Relation_Orel__comp(_u15473, _u15476, _u15474), _u15477), _u15478))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15476)), hAPP(hAPP(c_Product__Type_OPair(_u15473, _u15476), skolem402(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473)), skolem403(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473))), _u15477)) )).
% 12.21/12.47 cnf(matrix-6619, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15473, _u15474)), _u15475), hAPP(hAPP(c_Relation_Orel__comp(_u15473, _u15476, _u15474), _u15477), _u15478))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15476, _u15474)), hAPP(hAPP(c_Product__Type_OPair(_u15476, _u15474), skolem403(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473)), skolem404(_u15478, _u15477, _u15476, _u15475, _u15474, _u15473))), _u15478)) )).
% 12.21/12.47 cnf(matrix-6620, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15479), c_Map_Odom(_u15479, _u15480, hAPP(c_Map_Omap__of(_u15479, _u15480), _u15481)))) )).
% 12.21/12.47 cnf(matrix-6621, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u15482)), hAPP(c_Set_Oimage(_u15483, tc_Option_Ooption(_u15482), hAPP(c_Map_Omap__of(_u15483, _u15482), _u15484)), c_Orderings_Otop__class_Otop(tc_fun(_u15483, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-6622, plain, ( ( c_Map_Omap__add(_u15485, _u15486, _u15487, hAPP(c_Map_Omap__of(_u15485, _u15486), _u15488)) = c_List_Ofoldr(tc_prod(_u15485, _u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15485, _u15486, tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), hAPP(hAPP(c_COMBC(_u15485, tc_fun(_u15486, tc_Option_Ooption(_u15486)), tc_fun(_u15486, tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u15486), tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), tc_fun(tc_fun(_u15486, tc_Option_Ooption(_u15486)), tc_fun(_u15486, tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486))))), _u15485), c_COMBB(tc_Option_Ooption(_u15486), tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486))), _u15486)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(tc_Option_Ooption(_u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), tc_fun(tc_Option_Ooption(_u15486), tc_fun(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), _u15485), c_COMBC(tc_fun(_u15485, tc_Option_Ooption(_u15486)), tc_Option_Ooption(_u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), hAPP(c_COMBC(tc_fun(_u15485, tc_Option_Ooption(_u15486)), _u15485, tc_fun(tc_Option_Ooption(_u15486), tc_fun(_u15485, tc_Option_Ooption(_u15486)))), c_Fun_Ofun__upd(_u15485, tc_Option_Ooption(_u15486)))))), c_Option_Ooption_OSome(_u15486))), _u15488, _u15487)) )).
% 12.21/12.47 cnf(matrix-6623, plain, ( ( c_Smallcheck_Oorelse(_u15489, _u15490, _u15491) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15489), _u15489, _u15491, c_Option_Ooption_OSome(_u15489)), _u15490)) )).
% 12.21/12.47 cnf(matrix-6624, plain, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u15492, _u15493) = c_Smallcheck_Ofull__small_H(_u15492, hAPP(c_Code__Numeral_Oint__of, _u15493), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u15493)))) )).
% 12.21/12.47 cnf(matrix-6625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15497), _u15499)) | ( c_Smallcheck_Osmall_H(_u15501, _u15497, _u15499) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.21/12.47 cnf(matrix-6626, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15498), _u15500)) | ( c_Smallcheck_Osmall_H(_u15502, _u15498, _u15500) = 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(_u15502, _u15498, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15500), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u15502, _u15500))) )).
% 12.21/12.47 cnf(matrix-6627, 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)), _u15503), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15504), _u15505)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15504), _u15505)) | ( c_Smallcheck_Osmall_H(_u15503, _u15504, _u15505) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 12.21/12.47 cnf(matrix-6628, 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)), _u15503), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15504), _u15505)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15504), _u15505)) | ( c_Smallcheck_Osmall_H(_u15503, _u15504, _u15505) = 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(_u15503, _u15504, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15505), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u15503, _u15505))) )).
% 12.21/12.47 cnf(matrix-6629, plain, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u15506), _u15507) = c_Smallcheck_Osmall_H(_u15506, hAPP(c_Code__Numeral_Oint__of, _u15507), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u15507)))) )).
% 12.21/12.47 cnf(matrix-6630, plain, ( ~class_Smallcheck_Osmall(_u15508) | ~class_Smallcheck_Osmall(_u15509) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u15509, _u15508)), _u15510), _u15511) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u15509), hAPP(hAPP(c_COMBC(_u15509, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u15508, 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))), _u15509), c_Smallcheck_Osmall__class_Osmall(_u15508)), hAPP(hAPP(c_COMBB(tc_fun(_u15508, tc_prod(_u15509, _u15508)), tc_fun(_u15508, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u15509), hAPP(c_COMBB(tc_prod(_u15509, _u15508), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u15508), _u15510)), c_Product__Type_OPair(_u15509, _u15508)))), _u15511)), _u15511)) )).
% 12.21/12.47 cnf(matrix-6631, 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)), _u15515), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15516), _u15517)))) | hBOOL(hAPP(hAPP(hAPP(_u15518, _u15515), _u15516), _u15517)) | 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)), skolem405(_u15518, _u15517, _u15516, _u15515)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem406(_u15518, _u15517, _u15516, _u15515)), skolem407(_u15518, _u15517, _u15516, _u15515))))) )).
% 12.21/12.47 cnf(matrix-6632, 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)), _u15515), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15516), _u15517)))) | hBOOL(hAPP(hAPP(hAPP(_u15518, _u15515), _u15516), _u15517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem406(_u15518, _u15517, _u15516, _u15515)), skolem407(_u15518, _u15517, _u15516, _u15515))) | ( hAPP(skolem405(_u15518, _u15517, _u15516, _u15515), skolem407(_u15518, _u15517, _u15516, _u15515)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u15518, skolem405(_u15518, _u15517, _u15516, _u15515)), skolem406(_u15518, _u15517, _u15516, _u15515)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem407(_u15518, _u15517, _u15516, _u15515)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.47 cnf(matrix-6633, 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)), _u15515), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15516), _u15517)))) | hBOOL(hAPP(hAPP(hAPP(_u15518, _u15515), _u15516), _u15517)) | ~hBOOL(hAPP(hAPP(hAPP(_u15518, skolem405(_u15518, _u15517, _u15516, _u15515)), skolem406(_u15518, _u15517, _u15516, _u15515)), skolem407(_u15518, _u15517, _u15516, _u15515))) )).
% 12.21/12.47 cnf(matrix-6634, plain, ( ~c_Fun_Oinj__on(_u15519, _u15520, _u15521, c_Orderings_Otop__class_Otop(tc_fun(_u15519, tc_HOL_Obool))) | ( hAPP(hAPP(c_Map_Omap__of(_u15519, _u15522), _u15523), _u15524) != hAPP(c_Option_Ooption_OSome(_u15522), _u15525)) | ( hAPP(hAPP(c_Map_Omap__of(_u15520, _u15522), hAPP(hAPP(c_List_Omap(tc_prod(_u15519, _u15522), tc_prod(_u15520, _u15522)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15519, _u15522, tc_prod(_u15520, _u15522)), hAPP(hAPP(c_COMBB(_u15520, tc_fun(_u15522, tc_prod(_u15520, _u15522)), _u15519), c_Product__Type_OPair(_u15520, _u15522)), _u15521))), _u15523)), hAPP(_u15521, _u15524)) = hAPP(c_Option_Ooption_OSome(_u15522), _u15525)) )).
% 12.21/12.47 cnf(matrix-6635, plain, ( ~c_Fun_Oinj__on(_u15526, _u15527, _u15528, c_Orderings_Otop__class_Otop(tc_fun(_u15526, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15526), tc_List_Olist(_u15527), hAPP(c_List_Omap(_u15526, _u15527), _u15528), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15526), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6636, plain, ( ( c_List_Ofoldr(_u15529, _u15530, _u15531, hAPP(hAPP(c_List_Omap(_u15532, _u15529), _u15533), _u15534), _u15535) = c_List_Ofoldr(_u15532, _u15530, hAPP(c_Fun_Ocomp(_u15529, tc_fun(_u15530, _u15530), _u15532, _u15531), _u15533), _u15534, _u15535)) )).
% 12.21/12.47 cnf(matrix-6637, plain, ( ( hAPP(hAPP(c_List_Omap(_u15536, _u15537), _u15538), hAPP(hAPP(c_List_Omap(_u15539, _u15536), _u15540), _u15541)) = hAPP(hAPP(c_List_Omap(_u15539, _u15537), hAPP(c_Fun_Ocomp(_u15536, _u15537, _u15539, _u15538), _u15540)), _u15541)) )).
% 12.21/12.47 cnf(matrix-6638, plain, ( ( hAPP(hAPP(c_List_Omap(_u15542, _u15543), _u15544), hAPP(hAPP(c_List_Omap(_u15545, _u15542), _u15546), _u15547)) = hAPP(hAPP(c_List_Omap(_u15545, _u15543), hAPP(c_Fun_Ocomp(_u15542, _u15543, _u15545, _u15544), _u15546)), _u15547)) )).
% 12.21/12.47 cnf(matrix-6639, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15548), tc_List_Olist(_u15549), tc_List_Olist(_u15550), hAPP(c_List_Omap(_u15548, _u15549), _u15551)), hAPP(c_List_Omap(_u15550, _u15548), _u15552)) = hAPP(c_List_Omap(_u15550, _u15549), hAPP(c_Fun_Ocomp(_u15548, _u15549, _u15550, _u15551), _u15552))) )).
% 12.21/12.47 cnf(matrix-6640, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15553), tc_List_Olist(_u15554), tc_List_Olist(_u15555), hAPP(c_List_Omap(_u15553, _u15554), _u15556)), hAPP(c_List_Omap(_u15555, _u15553), _u15557)) = hAPP(c_List_Omap(_u15555, _u15554), hAPP(c_Fun_Ocomp(_u15553, _u15554, _u15555, _u15556), _u15557))) )).
% 12.21/12.47 cnf(matrix-6641, plain, ( ( hAPP(c_List_Omap(_u15558, _u15558), c_Fun_Oid(_u15558)) = c_Fun_Oid(tc_List_Olist(_u15558))) )).
% 12.21/12.47 cnf(matrix-6642, plain, ( ( hAPP(c_List_Omap(_u15559, _u15559), c_COMBI(_u15559)) = c_Fun_Oid(tc_List_Olist(_u15559))) )).
% 12.21/12.47 cnf(matrix-6643, plain, ( ( hAPP(hAPP(c_List_Omap(_u15560, _u15560), c_COMBI(_u15560)), _u15561) = _u15561) )).
% 12.21/12.47 cnf(matrix-6644, plain, ( ( hAPP(hAPP(c_List_Omap(_u15562, _u15563), _u15564), _u15565) != hAPP(hAPP(c_List_Omap(_u15562, _u15563), _u15564), _u15566)) | ~c_Fun_Oinj__on(_u15562, _u15563, _u15564, c_Orderings_Otop__class_Otop(tc_fun(_u15562, tc_HOL_Obool))) | ( _u15565 = _u15566) )).
% 12.21/12.47 cnf(matrix-6645, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u15567), tc_List_Olist(_u15568), hAPP(c_List_Omap(_u15567, _u15568), _u15569), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15567), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15567, _u15568, _u15569, c_Orderings_Otop__class_Otop(tc_fun(_u15567, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6646, plain, ( ~c_Fun_Oinj__on(_u15570, _u15571, _u15572, c_Orderings_Otop__class_Otop(tc_fun(_u15570, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15573) != hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15574)) | ( _u15573 = _u15574) )).
% 12.21/12.47 cnf(matrix-6647, plain, ( ~c_Fun_Oinj__on(_u15570, _u15571, _u15572, c_Orderings_Otop__class_Otop(tc_fun(_u15570, tc_HOL_Obool))) | ( _u15573 != _u15574) | ( hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15573) = hAPP(hAPP(c_List_Omap(_u15570, _u15571), _u15572), _u15574)) )).
% 12.21/12.47 cnf(matrix-6648, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u15578), tc_List_Olist(_u15580), hAPP(c_List_Omap(_u15578, _u15580), _u15582), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15578), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15578, _u15580, _u15582, c_Orderings_Otop__class_Otop(tc_fun(_u15578, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6649, plain, ( ~c_Fun_Oinj__on(_u15579, _u15581, _u15583, c_Orderings_Otop__class_Otop(tc_fun(_u15579, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15579), tc_List_Olist(_u15581), hAPP(c_List_Omap(_u15579, _u15581), _u15583), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15579), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6650, plain, ( ( hAPP(c_Map_Omap__of(_u15584, _u15585), hAPP(hAPP(c_List_Omap(tc_prod(_u15584, _u15586), tc_prod(_u15584, _u15585)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15584, _u15586, tc_prod(_u15584, _u15585)), hAPP(hAPP(c_COMBC(_u15584, tc_fun(_u15586, _u15585), tc_fun(_u15586, tc_prod(_u15584, _u15585))), hAPP(hAPP(c_COMBB(tc_fun(_u15585, tc_prod(_u15584, _u15585)), tc_fun(tc_fun(_u15586, _u15585), tc_fun(_u15586, tc_prod(_u15584, _u15585))), _u15584), c_COMBB(_u15585, tc_prod(_u15584, _u15585), _u15586)), c_Product__Type_OPair(_u15584, _u15585))), _u15587))), _u15588)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15586), tc_Option_Ooption(_u15585), _u15584, hAPP(c_Option_Omap(_u15586, _u15585), _u15587)), hAPP(c_Map_Omap__of(_u15584, _u15586), _u15588))) )).
% 12.21/12.47 cnf(matrix-6651, plain, ( ( c_Map_Omap__comp(_u15589, _u15590, _u15591, _u15592, _u15593, _u15594) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15590), _u15589, c_Option_Ooption_ONone(_u15590), _u15592), hAPP(_u15593, _u15594))) )).
% 12.21/12.47 cnf(matrix-6652, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15595), tc_Option_Ooption(_u15596), _u15597, hAPP(c_Option_Omap(_u15595, _u15596), _u15598)), hAPP(c_COMBK(tc_Option_Ooption(_u15595), _u15597), c_Option_Ooption_ONone(_u15595))), _u15599) = c_Option_Ooption_ONone(_u15596)) )).
% 12.21/12.47 cnf(matrix-6653, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15607, _u15609), _u15611), _u15613) != hAPP(c_Option_Ooption_OSome(_u15609), _u15615)) | ( _u15613 = hAPP(c_Option_Ooption_OSome(_u15607), skolem408(_u15615, _u15613, _u15611, _u15609, _u15607))) )).
% 12.21/12.47 cnf(matrix-6654, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15607, _u15609), _u15611), _u15613) != hAPP(c_Option_Ooption_OSome(_u15609), _u15615)) | ( hAPP(_u15611, skolem408(_u15615, _u15613, _u15611, _u15609, _u15607)) = _u15615) )).
% 12.21/12.47 cnf(matrix-6655, plain, ( ( _u15614 != hAPP(c_Option_Ooption_OSome(_u15608), _u15601)) | ( hAPP(_u15612, _u15601) != _u15616) | ( hAPP(hAPP(c_Option_Omap(_u15608, _u15610), _u15612), _u15614) = hAPP(c_Option_Ooption_OSome(_u15610), _u15616)) )).
% 12.21/12.47 cnf(matrix-6656, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15617, _u15618), _u15619), hAPP(c_Option_Ooption_OSome(_u15617), _u15620)) = hAPP(c_Option_Ooption_OSome(_u15618), hAPP(_u15619, _u15620))) )).
% 12.21/12.47 cnf(matrix-6657, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15625, _u15627), _u15629), _u15631) != c_Option_Ooption_ONone(_u15627)) | ( _u15631 = c_Option_Ooption_ONone(_u15625)) )).
% 12.21/12.47 cnf(matrix-6658, plain, ( ( _u15632 != c_Option_Ooption_ONone(_u15626)) | ( hAPP(hAPP(c_Option_Omap(_u15626, _u15628), _u15630), _u15632) = c_Option_Ooption_ONone(_u15628)) )).
% 12.21/12.47 cnf(matrix-6659, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15633, _u15634), _u15635), c_Option_Ooption_ONone(_u15633)) = c_Option_Ooption_ONone(_u15634)) )).
% 12.21/12.47 cnf(matrix-6660, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15636)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15636), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-6661, plain, ( ( c_Map_Odom(_u15637, _u15638, hAPP(hAPP(c_COMBS(_u15637, tc_Option_Ooption(_u15639), tc_Option_Ooption(_u15638)), hAPP(hAPP(c_COMBB(tc_fun(_u15639, _u15638), tc_fun(tc_Option_Ooption(_u15639), tc_Option_Ooption(_u15638)), _u15637), c_Option_Omap(_u15639, _u15638)), _u15640)), _u15641)) = c_Map_Odom(_u15637, _u15639, _u15641)) )).
% 12.21/12.47 cnf(matrix-6662, plain, ( ( hAPP(c_Option_Omap(_u15642, _u15642), c_Fun_Oid(_u15642)) = c_Fun_Oid(tc_Option_Ooption(_u15642))) )).
% 12.21/12.47 cnf(matrix-6663, plain, ( ( hAPP(c_Option_Omap(_u15643, _u15643), c_COMBI(_u15643)) = c_Fun_Oid(tc_Option_Ooption(_u15643))) )).
% 12.21/12.47 cnf(matrix-6664, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15644, _u15645), _u15646), hAPP(hAPP(c_Option_Omap(_u15647, _u15644), _u15648), _u15649)) = hAPP(hAPP(c_Option_Omap(_u15647, _u15645), hAPP(c_Fun_Ocomp(_u15644, _u15645, _u15647, _u15646), _u15648)), _u15649)) )).
% 12.21/12.47 cnf(matrix-6665, plain, ( ( hAPP(hAPP(c_Option_Omap(_u15650, _u15651), _u15652), hAPP(hAPP(c_Option_Omap(_u15653, _u15650), _u15654), _u15655)) = hAPP(hAPP(c_Option_Omap(_u15653, _u15651), hAPP(c_Fun_Ocomp(_u15650, _u15651, _u15653, _u15652), _u15654)), _u15655)) )).
% 12.21/12.47 cnf(matrix-6666, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15656), tc_Option_Ooption(_u15657), tc_Option_Ooption(_u15658), hAPP(c_Option_Omap(_u15656, _u15657), _u15659)), hAPP(c_Option_Omap(_u15658, _u15656), _u15660)) = hAPP(c_Option_Omap(_u15658, _u15657), hAPP(c_Fun_Ocomp(_u15656, _u15657, _u15658, _u15659), _u15660))) )).
% 12.21/12.47 cnf(matrix-6667, plain, ( ( hAPP(_u15661, _u15662) != c_Option_Ooption_ONone(_u15663)) | ( c_Map_Omap__comp(_u15663, _u15664, _u15665, _u15666, _u15661, _u15662) = c_Option_Ooption_ONone(_u15664)) )).
% 12.21/12.47 cnf(matrix-6668, plain, ( ( c_Map_Omap__comp(_u15676, _u15678, _u15680, _u15682, _u15684, _u15686) != hAPP(c_Option_Ooption_OSome(_u15678), _u15688)) | ( hAPP(_u15684, _u15686) = hAPP(c_Option_Ooption_OSome(_u15676), skolem409(_u15688, _u15686, _u15684, _u15682, _u15680, _u15678, _u15676))) )).
% 12.21/12.47 cnf(matrix-6669, plain, ( ( c_Map_Omap__comp(_u15676, _u15678, _u15680, _u15682, _u15684, _u15686) != hAPP(c_Option_Ooption_OSome(_u15678), _u15688)) | ( hAPP(_u15682, skolem409(_u15688, _u15686, _u15684, _u15682, _u15680, _u15678, _u15676)) = hAPP(c_Option_Ooption_OSome(_u15678), _u15688)) )).
% 12.21/12.47 cnf(matrix-6670, plain, ( ( hAPP(_u15685, _u15687) != hAPP(c_Option_Ooption_OSome(_u15677), _u15668)) | ( hAPP(_u15683, _u15668) != hAPP(c_Option_Ooption_OSome(_u15679), _u15689)) | ( c_Map_Omap__comp(_u15677, _u15679, _u15681, _u15683, _u15685, _u15687) = hAPP(c_Option_Ooption_OSome(_u15679), _u15689)) )).
% 12.21/12.47 cnf(matrix-6671, plain, ( ( hAPP(_u15690, _u15691) != hAPP(c_Option_Ooption_OSome(_u15692), _u15693)) | ( c_Map_Omap__comp(_u15692, _u15694, _u15695, _u15696, _u15690, _u15691) = hAPP(_u15696, _u15693)) )).
% 12.21/12.47 cnf(matrix-6672, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15697), tc_Option_Ooption(_u15698), _u15699, hAPP(c_Option_Omap(_u15697, _u15698), _u15700)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15699, tc_Option_Ooption(_u15697)), _u15701), _u15702), hAPP(c_Option_Ooption_OSome(_u15697), _u15703))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15699, tc_Option_Ooption(_u15698)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15697), tc_Option_Ooption(_u15698), _u15699, hAPP(c_Option_Omap(_u15697, _u15698), _u15700)), _u15701)), _u15702), hAPP(c_Option_Ooption_OSome(_u15698), hAPP(_u15700, _u15703)))) )).
% 12.21/12.47 cnf(matrix-6673, plain, ( ( c_Map_Omap__comp(_u15704, _u15705, _u15706, _u15707, hAPP(c_COMBK(tc_Option_Ooption(_u15704), _u15706), c_Option_Ooption_ONone(_u15704)), _u15708) = c_Option_Ooption_ONone(_u15705)) )).
% 12.21/12.47 cnf(matrix-6674, plain, ( ( c_Map_Omap__comp(_u15709, _u15710, _u15711, hAPP(c_COMBK(tc_Option_Ooption(_u15710), _u15709), c_Option_Ooption_ONone(_u15710)), _u15712, _u15713) = c_Option_Ooption_ONone(_u15710)) )).
% 12.21/12.47 cnf(matrix-6675, plain, ( ( c_Map_Omap__comp(_u15722, _u15724, _u15726, _u15728, _u15730, _u15732) != c_Option_Ooption_ONone(_u15724)) | ( hAPP(_u15730, _u15732) = c_Option_Ooption_ONone(_u15722)) | ( hAPP(_u15730, _u15732) = hAPP(c_Option_Ooption_OSome(_u15722), skolem410(_u15732, _u15730, _u15728, _u15726, _u15724, _u15722))) )).
% 12.21/12.47 cnf(matrix-6676, plain, ( ( c_Map_Omap__comp(_u15722, _u15724, _u15726, _u15728, _u15730, _u15732) != c_Option_Ooption_ONone(_u15724)) | ( hAPP(_u15730, _u15732) = c_Option_Ooption_ONone(_u15722)) | ( hAPP(_u15728, skolem410(_u15732, _u15730, _u15728, _u15726, _u15724, _u15722)) = c_Option_Ooption_ONone(_u15724)) )).
% 12.21/12.47 cnf(matrix-6677, plain, ( ( c_Map_Omap__comp(_u15723, _u15725, _u15727, _u15729, _u15731, _u15733) = c_Option_Ooption_ONone(_u15725)) | ( hAPP(_u15731, _u15733) != c_Option_Ooption_ONone(_u15723)) )).
% 12.21/12.47 cnf(matrix-6678, plain, ( ( c_Map_Omap__comp(_u15723, _u15725, _u15727, _u15729, _u15731, _u15733) = c_Option_Ooption_ONone(_u15725)) | ( hAPP(_u15731, _u15733) != hAPP(c_Option_Ooption_OSome(_u15723), _u15715)) | ( hAPP(_u15729, _u15715) != c_Option_Ooption_ONone(_u15725)) )).
% 12.21/12.47 cnf(matrix-6679, plain, ( ( hAPP(c_Option_Omap(_u15734, _u15735), _u15736) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u15735), _u15734, c_Option_Ooption_ONone(_u15735), hAPP(hAPP(c_COMBB(_u15735, tc_Option_Ooption(_u15735), _u15734), c_Option_Ooption_OSome(_u15735)), _u15736))) )).
% 12.21/12.47 cnf(matrix-6680, plain, ( ( hAPP(c_Map_Omap__of(_u15737, _u15738), hAPP(hAPP(c_List_Omap(_u15737, tc_prod(_u15737, _u15738)), hAPP(hAPP(c_COMBS(_u15737, _u15738, tc_prod(_u15737, _u15738)), c_Product__Type_OPair(_u15737, _u15738)), _u15739)), _u15740)) = c_Map_Orestrict__map(_u15737, _u15738, hAPP(c_Fun_Ocomp(_u15738, tc_Option_Ooption(_u15738), _u15737, c_Option_Ooption_OSome(_u15738)), _u15739), hAPP(c_List_Oset(_u15737), _u15740))) )).
% 12.21/12.47 cnf(matrix-6681, plain, ( ( hAPP(c_Map_Omap__of(_u15741, _u15742), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15741, _u15742)), _u15743), _u15744)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15741, tc_Option_Ooption(_u15742)), hAPP(c_Map_Omap__of(_u15741, _u15742), _u15744)), hAPP(c_Product__Type_Ofst(_u15741, _u15742), _u15743)), hAPP(c_Option_Ooption_OSome(_u15742), hAPP(c_Product__Type_Osnd(_u15741, _u15742), _u15743)))) )).
% 12.21/12.47 cnf(matrix-6682, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15745), hAPP(c_List_Oset(_u15745), _u15746))) )).
% 12.21/12.47 cnf(matrix-6683, plain, ( ( hAPP(hAPP(c_List_Omap(_u15754, _u15756), _u15758), _u15760) != hAPP(hAPP(c_List_Omap(_u15754, _u15756), _u15762), _u15760)) | ~hBOOL(hAPP(hAPP(c_member(_u15754), _u15747), hAPP(c_List_Oset(_u15754), _u15760))) | ( hAPP(_u15758, _u15747) = hAPP(_u15762, _u15747)) )).
% 12.21/12.47 cnf(matrix-6684, plain, ( ( hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15759), _u15761) = hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15763), _u15761)) | hBOOL(hAPP(hAPP(c_member(_u15755), skolem411(_u15763, _u15761, _u15759, _u15757, _u15755)), hAPP(c_List_Oset(_u15755), _u15761))) )).
% 12.21/12.47 cnf(matrix-6685, plain, ( ( hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15759), _u15761) = hAPP(hAPP(c_List_Omap(_u15755, _u15757), _u15763), _u15761)) | ( hAPP(_u15759, skolem411(_u15763, _u15761, _u15759, _u15757, _u15755)) != hAPP(_u15763, skolem411(_u15763, _u15761, _u15759, _u15757, _u15755))) )).
% 12.21/12.47 cnf(matrix-6686, plain, ( ( hAPP(hAPP(c_List_Omap(_u15764, _u15765), _u15766), hAPP(hAPP(c_List_Olist_OCons(_u15764), _u15767), _u15768)) = hAPP(hAPP(c_List_Olist_OCons(_u15765), hAPP(_u15766, _u15767)), hAPP(hAPP(c_List_Omap(_u15764, _u15765), _u15766), _u15768))) )).
% 12.21/12.47 cnf(matrix-6687, plain, ( ( hAPP(c_List_Oset(_u15769), hAPP(hAPP(c_List_Omap(_u15770, _u15769), _u15771), _u15772)) = hAPP(c_Set_Oimage(_u15770, _u15769, _u15771), hAPP(c_List_Oset(_u15770), _u15772))) )).
% 12.21/12.47 cnf(matrix-6688, plain, ( ( c_List_Ofoldr(_u15773, _u15774, _u15775, hAPP(hAPP(c_List_Olist_OCons(_u15773), _u15776), _u15777), _u15778) = hAPP(hAPP(_u15775, _u15776), c_List_Ofoldr(_u15773, _u15774, _u15775, _u15777, _u15778))) )).
% 12.21/12.47 cnf(matrix-6689, plain, ( ( hAPP(c_List_Oset(_u15779), hAPP(hAPP(c_List_Olist_OCons(_u15779), _u15780), _u15781)) = hAPP(hAPP(c_Set_Oinsert(_u15779), _u15780), hAPP(c_List_Oset(_u15779), _u15781))) )).
% 12.21/12.47 cnf(matrix-6690, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), _u15791) != hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15793), _u15795)) | ( _u15789 = _u15793) )).
% 12.21/12.47 cnf(matrix-6691, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15789), _u15791) != hAPP(hAPP(c_List_Olist_OCons(_u15787), _u15793), _u15795)) | ( _u15791 = _u15795) )).
% 12.21/12.47 cnf(matrix-6692, plain, ( ( _u15790 != _u15794) | ( _u15792 != _u15796) | ( hAPP(hAPP(c_List_Olist_OCons(_u15788), _u15790), _u15792) = hAPP(hAPP(c_List_Olist_OCons(_u15788), _u15794), _u15796)) )).
% 12.21/12.47 cnf(matrix-6693, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15797), _u15798), _u15799) != _u15799) )).
% 12.21/12.47 cnf(matrix-6694, plain, ( ( _u15800 != hAPP(hAPP(c_List_Olist_OCons(_u15801), _u15802), _u15800)) )).
% 12.21/12.47 cnf(matrix-6695, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15803), _u15804), hAPP(c_List_Oset(_u15803), hAPP(hAPP(c_List_Olist_OCons(_u15803), _u15805), _u15806)))) | ( _u15804 = _u15805) | hBOOL(hAPP(hAPP(c_member(_u15803), _u15804), hAPP(c_List_Oset(_u15803), _u15806))) )).
% 12.21/12.47 cnf(matrix-6696, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15807, tc_HOL_Obool)), hAPP(c_List_Oset(_u15807), _u15808)), hAPP(c_List_Oset(_u15807), hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15809), _u15808)))) )).
% 12.21/12.47 cnf(matrix-6697, plain, ( ( hAPP(hAPP(c_List_Omap(_u15810, _u15811), _u15812), _u15813) != hAPP(hAPP(c_List_Omap(_u15810, _u15811), _u15812), _u15814)) | ~c_Fun_Oinj__on(_u15810, _u15811, _u15812, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15810, tc_HOL_Obool)), hAPP(c_List_Oset(_u15810), _u15813)), hAPP(c_List_Oset(_u15810), _u15814))) | ( _u15813 = _u15814) )).
% 12.21/12.47 cnf(matrix-6698, plain, ( ~c_Fun_Oinj__on(_u15815, _u15816, _u15817, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15815, tc_HOL_Obool)), hAPP(c_List_Oset(_u15815), _u15818)), hAPP(c_List_Oset(_u15815), _u15819))) | ( hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15818) != hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15819)) | ( _u15818 = _u15819) )).
% 12.21/12.47 cnf(matrix-6699, plain, ( ~c_Fun_Oinj__on(_u15815, _u15816, _u15817, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15815, tc_HOL_Obool)), hAPP(c_List_Oset(_u15815), _u15818)), hAPP(c_List_Oset(_u15815), _u15819))) | ( _u15818 != _u15819) | ( hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15818) = hAPP(hAPP(c_List_Omap(_u15815, _u15816), _u15817), _u15819)) )).
% 12.21/12.47 cnf(matrix-6700, plain, ( hBOOL(hAPP(hAPP(c_member(_u15820), _u15821), hAPP(c_List_Oset(_u15820), _u15822))) | ( hAPP(hAPP(c_List_Omap(_u15820, _u15823), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15820, _u15823), _u15824), _u15821), _u15825)), _u15822) = hAPP(hAPP(c_List_Omap(_u15820, _u15823), _u15824), _u15822)) )).
% 12.21/12.47 cnf(matrix-6701, plain, ( ( _u15832 != _u15834) | ( hAPP(hAPP(c_Map_Omap__of(_u15836, _u15838), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15836, _u15838)), hAPP(hAPP(c_Product__Type_OPair(_u15836, _u15838), _u15832), _u15840)), _u15842)), _u15834) = hAPP(c_Option_Ooption_OSome(_u15838), _u15840)) )).
% 12.21/12.47 cnf(matrix-6702, plain, ( ( _u15833 = _u15835) | ( hAPP(hAPP(c_Map_Omap__of(_u15837, _u15839), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15837, _u15839)), hAPP(hAPP(c_Product__Type_OPair(_u15837, _u15839), _u15833), _u15841)), _u15843)), _u15835) = hAPP(hAPP(c_Map_Omap__of(_u15837, _u15839), _u15843), _u15835)) )).
% 12.21/12.47 cnf(matrix-6703, plain, ( ( hAPP(c_Map_Omap__of(_u15844, _u15845), _u15846) != hAPP(c_Map_Omap__of(_u15844, _u15845), _u15847)) | ( hAPP(c_Set_Oimage(tc_prod(_u15844, _u15845), _u15844, c_Product__Type_Ofst(_u15844, _u15845)), hAPP(c_List_Oset(tc_prod(_u15844, _u15845)), _u15846)) = hAPP(c_Set_Oimage(tc_prod(_u15844, _u15845), _u15844, c_Product__Type_Ofst(_u15844, _u15845)), hAPP(c_List_Oset(tc_prod(_u15844, _u15845)), _u15847))) )).
% 12.21/12.47 cnf(matrix-6704, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u15848, _u15849), _u15850), _u15851) != hAPP(c_Option_Ooption_OSome(_u15849), _u15852)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15848, _u15849)), hAPP(hAPP(c_Product__Type_OPair(_u15848, _u15849), _u15851), _u15852)), hAPP(c_List_Oset(tc_prod(_u15848, _u15849)), _u15850))) )).
% 12.21/12.47 cnf(matrix-6705, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u15853, _u15854), _u15855), _u15856) != hAPP(c_Option_Ooption_OSome(_u15854), _u15857)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15853, _u15854)), hAPP(hAPP(c_Product__Type_OPair(_u15853, _u15854), _u15856), _u15857)), hAPP(c_List_Oset(tc_prod(_u15853, _u15854)), _u15855))) )).
% 12.21/12.47 cnf(matrix-6706, plain, ( ( c_Map_Odom(_u15858, _u15859, hAPP(c_Map_Omap__of(_u15858, _u15859), _u15860)) = hAPP(c_Set_Oimage(tc_prod(_u15858, _u15859), _u15858, c_Product__Type_Ofst(_u15858, _u15859)), hAPP(c_List_Oset(tc_prod(_u15858, _u15859)), _u15860))) )).
% 12.21/12.47 cnf(matrix-6707, plain, ( ~c_Fun_Oinj__on(_u15861, _u15862, _u15863, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15861, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u15861), tc_fun(_u15861, tc_HOL_Obool), c_List_Oset(_u15861)), _u15864))) | c_Fun_Oinj__on(tc_List_Olist(_u15861), tc_List_Olist(_u15862), hAPP(c_List_Omap(_u15861, _u15862), _u15863), _u15864) )).
% 12.21/12.47 cnf(matrix-6708, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u15869, _u15871), _u15873), _u15875) != c_Option_Ooption_ONone(_u15871)) | ~hBOOL(hAPP(hAPP(c_member(_u15869), _u15875), hAPP(c_Set_Oimage(tc_prod(_u15869, _u15871), _u15869, c_Product__Type_Ofst(_u15869, _u15871)), hAPP(c_List_Oset(tc_prod(_u15869, _u15871)), _u15873)))) )).
% 12.21/12.47 cnf(matrix-6709, plain, ( hBOOL(hAPP(hAPP(c_member(_u15870), _u15876), hAPP(c_Set_Oimage(tc_prod(_u15870, _u15872), _u15870, c_Product__Type_Ofst(_u15870, _u15872)), hAPP(c_List_Oset(tc_prod(_u15870, _u15872)), _u15874)))) | ( hAPP(hAPP(c_Map_Omap__of(_u15870, _u15872), _u15874), _u15876) = c_Option_Ooption_ONone(_u15872)) )).
% 12.21/12.47 cnf(matrix-6710, plain, ( ( hAPP(c_List_Oset(_u15877), _u15878) != c_Map_Odom(_u15877, _u15879, _u15880)) | ( hAPP(c_Map_Omap__of(_u15877, _u15879), hAPP(hAPP(c_List_Omap(_u15877, tc_prod(_u15877, _u15879)), hAPP(hAPP(c_COMBS(_u15877, _u15879, tc_prod(_u15877, _u15879)), c_Product__Type_OPair(_u15877, _u15879)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u15879), _u15879, _u15877), c_Option_Othe(_u15879)), _u15880))), _u15878)) = _u15880) )).
% 12.21/12.47 cnf(matrix-6711, plain, ( ( c_List_Oset__Cons(_u15881, _u15882, _u15883) = hAPP(c_Set_OCollect(tc_List_Olist(_u15881)), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15881)), c_HOL_OEx(_u15881)), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_HOL_Obool), tc_List_Olist(_u15881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_HOL_Obool, _u15881), c_HOL_OEx(tc_List_Olist(_u15881)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15881), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_fun(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_List_Olist(_u15881)), c_COMBS(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15881, tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_List_Olist(_u15881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), _u15881), c_COMBS(tc_List_Olist(_u15881), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15881), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15881)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15881), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881))), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881)), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_fun(tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881))), tc_fun(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool))), tc_List_Olist(_u15881)), c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881)), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), _u15881)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15881), tc_List_Olist(_u15881)), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), tc_List_Olist(_u15881)), c_COMBB(tc_List_Olist(_u15881), tc_HOL_Obool, tc_List_Olist(_u15881))), c_fequal))), c_List_Olist_OCons(_u15881)))))), hAPP(hAPP(c_COMBC(_u15881, tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool)), _u15881), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15881))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15881), c_fconj), hAPP(hAPP(c_COMBC(_u15881, tc_fun(_u15881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15881)), _u15882)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15881), tc_fun(tc_List_Olist(_u15881), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15881))), _u15883))))))) )).
% 12.21/12.47 cnf(matrix-6712, plain, ( ( hAPP(c_Option_Othe(_u15884), hAPP(c_Option_Ooption_OSome(_u15884), _u15885)) = _u15885) )).
% 12.21/12.47 cnf(matrix-6713, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u15886), tc_fun(_u15886, tc_HOL_Obool), c_List_Oset(_u15886)), hAPP(c_List_Oset(tc_List_Olist(_u15886)), c_Enum_Osublists(_u15886, _u15887))) = hAPP(c_Set_OPow(_u15886), hAPP(c_List_Oset(_u15886), _u15887))) )).
% 12.21/12.47 cnf(matrix-6714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15892), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15894), _u15896))) | ( hAPP(c_Random_Opick(_u15894, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15894)), _u15896), _u15898)), _u15892) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15894), _u15896)) )).
% 12.21/12.47 cnf(matrix-6715, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15893), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15895), _u15897))) | ( hAPP(c_Random_Opick(_u15895, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15895)), _u15897), _u15899)), _u15893) = hAPP(c_Random_Opick(_u15895, _u15899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15893), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15895), _u15897)))) )).
% 12.21/12.47 cnf(matrix-6716, plain, ( ( c_Random_Oselect__weight(_u15900, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15900)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15900), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15901)), _u15902)) = c_Random_Oselect__weight(_u15900, _u15902)) )).
% 12.21/12.47 cnf(matrix-6717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15903), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15904), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15904)), _u15905)))) | hBOOL(hAPP(hAPP(c_member(_u15904), hAPP(c_Random_Opick(_u15904, _u15905), _u15903)), hAPP(c_List_Oset(_u15904), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15904), _u15904), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15904)), _u15905)))) )).
% 12.21/12.47 cnf(matrix-6718, plain, ( ~class_Groups_Omonoid__add(_u15906) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15906), hAPP(hAPP(c_List_Olist_OCons(_u15906), _u15907), _u15908)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15906), _u15907), hAPP(c_List_Omonoid__add__class_Olistsum(_u15906), _u15908))) )).
% 12.21/12.47 cnf(matrix-6719, plain, ( ~class_Groups_Omonoid__add(_u15909) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15909), hAPP(hAPP(c_List_Omap(_u15910, _u15909), hAPP(c_COMBK(_u15909, _u15910), c_Groups_Ozero__class_Ozero(_u15909))), _u15911)) = c_Groups_Ozero__class_Ozero(_u15909)) )).
% 12.21/12.47 cnf(matrix-6720, plain, ( ~class_Groups_Ocomm__monoid__add(_u15912) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15912), hAPP(hAPP(c_List_Omap(_u15913, _u15912), hAPP(hAPP(c_COMBS(_u15913, _u15912, _u15912), hAPP(hAPP(c_COMBB(_u15912, tc_fun(_u15912, _u15912), _u15913), c_Groups_Oplus__class_Oplus(_u15912)), _u15914)), _u15915)), _u15916)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15912), hAPP(c_List_Omonoid__add__class_Olistsum(_u15912), hAPP(hAPP(c_List_Omap(_u15913, _u15912), _u15914), _u15916))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15912), hAPP(hAPP(c_List_Omap(_u15913, _u15912), _u15915), _u15916)))) )).
% 12.21/12.47 cnf(matrix-6721, plain, ( ~class_Rings_Osemiring__0(_u15917) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15917), hAPP(hAPP(c_List_Omap(_u15918, _u15917), hAPP(hAPP(c_COMBB(_u15917, _u15917, _u15918), hAPP(c_Groups_Otimes__class_Otimes(_u15917), _u15919)), _u15920)), _u15921)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15917), _u15919), hAPP(c_List_Omonoid__add__class_Olistsum(_u15917), hAPP(hAPP(c_List_Omap(_u15918, _u15917), _u15920), _u15921)))) )).
% 12.21/12.47 cnf(matrix-6722, plain, ( ~class_Rings_Osemiring__0(_u15922) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15922), hAPP(hAPP(c_List_Omap(_u15923, _u15922), hAPP(hAPP(c_COMBC(_u15923, _u15922, _u15922), hAPP(hAPP(c_COMBB(_u15922, tc_fun(_u15922, _u15922), _u15923), c_Groups_Otimes__class_Otimes(_u15922)), _u15924)), _u15925)), _u15926)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15922), hAPP(c_List_Omonoid__add__class_Olistsum(_u15922), hAPP(hAPP(c_List_Omap(_u15923, _u15922), _u15924), _u15926))), _u15925)) )).
% 12.21/12.47 cnf(matrix-6723, plain, ( ~class_Groups_Oab__group__add(_u15927) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15927), hAPP(hAPP(c_List_Omap(_u15928, _u15927), hAPP(hAPP(c_COMBS(_u15928, _u15927, _u15927), hAPP(hAPP(c_COMBB(_u15927, tc_fun(_u15927, _u15927), _u15928), c_Groups_Ominus__class_Ominus(_u15927)), _u15929)), _u15930)), _u15931)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u15927), hAPP(c_List_Omonoid__add__class_Olistsum(_u15927), hAPP(hAPP(c_List_Omap(_u15928, _u15927), _u15929), _u15931))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15927), hAPP(hAPP(c_List_Omap(_u15928, _u15927), _u15930), _u15931)))) )).
% 12.21/12.47 cnf(matrix-6724, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u15932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15932), hAPP(c_Groups_Oabs__class_Oabs(_u15932), hAPP(c_List_Omonoid__add__class_Olistsum(_u15932), _u15933))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15932), hAPP(hAPP(c_List_Omap(_u15932, _u15932), c_Groups_Oabs__class_Oabs(_u15932)), _u15933)))) )).
% 12.21/12.47 cnf(matrix-6725, plain, ( ~class_Groups_Oab__group__add(_u15934) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u15934), hAPP(c_List_Omonoid__add__class_Olistsum(_u15934), hAPP(hAPP(c_List_Omap(_u15935, _u15934), _u15936), _u15937))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15934), hAPP(hAPP(c_List_Omap(_u15935, _u15934), hAPP(c_Fun_Ocomp(_u15934, _u15934, _u15935, c_Groups_Ouminus__class_Ouminus(_u15934)), _u15936)), _u15937))) )).
% 12.21/12.47 cnf(matrix-6726, plain, ( ( c_Random_Oselect__weight(_u15938, _u15939) = 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(_u15938, 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, _u15938), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15938)), _u15939)))), hAPP(hAPP(c_COMBB(_u15938, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u15938, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u15938, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u15938, _u15939)))) )).
% 12.21/12.47 cnf(matrix-6727, 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, _u15940), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15940)), _u15941)))) | hBOOL(hAPP(hAPP(c_member(_u15940), hAPP(c_Product__Type_Ofst(_u15940, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u15940, _u15941), _u15942))), hAPP(c_List_Oset(_u15940), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15940), _u15940), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15940)), _u15941)))) )).
% 12.21/12.47 cnf(matrix-6728, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15943, _u15944)), c_Enum_Oproduct(_u15943, _u15944, _u15945, _u15946)) = hAPP(hAPP(c_Product__Type_OSigma(_u15943, _u15944), hAPP(c_List_Oset(_u15943), _u15945)), hAPP(c_COMBK(tc_fun(_u15944, tc_HOL_Obool), _u15943), hAPP(c_List_Oset(_u15944), _u15946)))) )).
% 12.21/12.47 cnf(matrix-6729, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15947), hAPP(hAPP(c_List_Omap(tc_prod(_u15947, _u15948), _u15947), c_Product__Type_Ofst(_u15947, _u15948)), _u15949))) | ( c_Map_Oran(_u15947, _u15948, hAPP(c_Map_Omap__of(_u15947, _u15948), _u15949)) = hAPP(c_Set_Oimage(tc_prod(_u15947, _u15948), _u15948, c_Product__Type_Osnd(_u15947, _u15948)), hAPP(c_List_Oset(tc_prod(_u15947, _u15948)), _u15949))) )).
% 12.21/12.47 cnf(matrix-6730, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15950), _u15951)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u15950, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15950), tc_fun(_u15950, tc_HOL_Obool)), c_List_Oset(_u15950)), c_Enum_Osublists(_u15950, _u15951)))) )).
% 12.21/12.47 cnf(matrix-6731, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15955) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15952), hAPP(c_List_Oset(tc_Nat_Onat), _u15955))) | ( _u15952 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6732, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15956) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem412(_u15956)), hAPP(c_List_Oset(tc_Nat_Onat), _u15956))) )).
% 12.21/12.47 cnf(matrix-6733, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15956) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem412(_u15956) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6734, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15957), _u15958)) | ~hBOOL(hAPP(c_List_Odistinct(_u15959), _u15960)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15957, _u15959)), c_Enum_Oproduct(_u15957, _u15959, _u15958, _u15960))) )).
% 12.21/12.47 cnf(matrix-6735, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15964), hAPP(hAPP(c_List_Olist_OCons(_u15964), _u15966), _u15968))) | ~hBOOL(hAPP(hAPP(c_member(_u15964), _u15966), hAPP(c_List_Oset(_u15964), _u15968))) )).
% 12.21/12.47 cnf(matrix-6736, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15964), hAPP(hAPP(c_List_Olist_OCons(_u15964), _u15966), _u15968))) | hBOOL(hAPP(c_List_Odistinct(_u15964), _u15968)) )).
% 12.21/12.47 cnf(matrix-6737, plain, ( hBOOL(hAPP(hAPP(c_member(_u15965), _u15967), hAPP(c_List_Oset(_u15965), _u15969))) | ~hBOOL(hAPP(c_List_Odistinct(_u15965), _u15969)) | hBOOL(hAPP(c_List_Odistinct(_u15965), hAPP(hAPP(c_List_Olist_OCons(_u15965), _u15967), _u15969))) )).
% 12.21/12.47 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15974), hAPP(hAPP(c_List_Omap(_u15976, _u15974), _u15978), _u15980))) | hBOOL(hAPP(c_List_Odistinct(_u15976), _u15980)) )).
% 12.21/12.47 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15974), hAPP(hAPP(c_List_Omap(_u15976, _u15974), _u15978), _u15980))) | c_Fun_Oinj__on(_u15976, _u15974, _u15978, hAPP(c_List_Oset(_u15976), _u15980)) )).
% 12.21/12.47 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15977), _u15981)) | ~c_Fun_Oinj__on(_u15977, _u15975, _u15979, hAPP(c_List_Oset(_u15977), _u15981)) | hBOOL(hAPP(c_List_Odistinct(_u15975), hAPP(hAPP(c_List_Omap(_u15977, _u15975), _u15979), _u15981))) )).
% 12.21/12.47 cnf(matrix-6741, plain, ( ~class_Groups_Ocomm__monoid__add(_u15982) | ~hBOOL(hAPP(c_List_Odistinct(_u15982), _u15983)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15982), _u15983) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15982, _u15982), c_COMBI(_u15982)), hAPP(c_List_Oset(_u15982), _u15983))) )).
% 12.21/12.47 cnf(matrix-6742, plain, ( ~class_Groups_Ocomm__monoid__add(_u15984) | ~hBOOL(hAPP(c_List_Odistinct(_u15985), _u15986)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15984), hAPP(hAPP(c_List_Omap(_u15985, _u15984), _u15987), _u15986)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15985, _u15984), _u15987), hAPP(c_List_Oset(_u15985), _u15986))) )).
% 12.21/12.47 cnf(matrix-6743, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15990))) | ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15991))) | ( hAPP(c_Map_Omap__of(_u15988, _u15989), _u15990) != hAPP(c_Map_Omap__of(_u15988, _u15989), _u15991)) | ( hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15990) = hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15991)) )).
% 12.21/12.47 cnf(matrix-6744, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15990))) | ~hBOOL(hAPP(c_List_Odistinct(_u15988), hAPP(hAPP(c_List_Omap(tc_prod(_u15988, _u15989), _u15988), c_Product__Type_Ofst(_u15988, _u15989)), _u15991))) | ( hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15990) != hAPP(c_List_Oset(tc_prod(_u15988, _u15989)), _u15991)) | ( hAPP(c_Map_Omap__of(_u15988, _u15989), _u15990) = hAPP(c_Map_Omap__of(_u15988, _u15989), _u15991)) )).
% 12.21/12.47 cnf(matrix-6745, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15992), hAPP(hAPP(c_List_Omap(tc_prod(_u15992, _u15993), _u15992), c_Product__Type_Ofst(_u15992, _u15993)), _u15994))) | ( hAPP(c_Option_Ooption_OSome(_u15993), _u15995) != hAPP(hAPP(c_Map_Omap__of(_u15992, _u15993), _u15994), _u15996)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15993)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15993), _u15996), _u15995)), hAPP(c_List_Oset(tc_prod(_u15992, _u15993)), _u15994))) )).
% 12.21/12.47 cnf(matrix-6746, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15992), hAPP(hAPP(c_List_Omap(tc_prod(_u15992, _u15993), _u15992), c_Product__Type_Ofst(_u15992, _u15993)), _u15994))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15992, _u15993)), hAPP(hAPP(c_Product__Type_OPair(_u15992, _u15993), _u15996), _u15995)), hAPP(c_List_Oset(tc_prod(_u15992, _u15993)), _u15994))) | ( hAPP(c_Option_Ooption_OSome(_u15993), _u15995) = hAPP(hAPP(c_Map_Omap__of(_u15992, _u15993), _u15994), _u15996)) )).
% 12.21/12.47 cnf(matrix-6747, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15997), hAPP(hAPP(c_List_Omap(tc_prod(_u15997, _u15998), _u15997), c_Product__Type_Ofst(_u15997, _u15998)), _u15999))) | ( hAPP(hAPP(c_Map_Omap__of(_u15997, _u15998), _u15999), _u16000) != hAPP(c_Option_Ooption_OSome(_u15998), _u16001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15997, _u15998)), hAPP(hAPP(c_Product__Type_OPair(_u15997, _u15998), _u16000), _u16001)), hAPP(c_List_Oset(tc_prod(_u15997, _u15998)), _u15999))) )).
% 12.21/12.47 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15997), hAPP(hAPP(c_List_Omap(tc_prod(_u15997, _u15998), _u15997), c_Product__Type_Ofst(_u15997, _u15998)), _u15999))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15997, _u15998)), hAPP(hAPP(c_Product__Type_OPair(_u15997, _u15998), _u16000), _u16001)), hAPP(c_List_Oset(tc_prod(_u15997, _u15998)), _u15999))) | ( hAPP(hAPP(c_Map_Omap__of(_u15997, _u15998), _u15999), _u16000) = hAPP(c_Option_Ooption_OSome(_u15998), _u16001)) )).
% 12.21/12.47 cnf(matrix-6749, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16002), hAPP(hAPP(c_List_Omap(tc_prod(_u16002, _u16003), _u16002), c_Product__Type_Ofst(_u16002, _u16003)), _u16004))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16002, _u16003)), hAPP(hAPP(c_Product__Type_OPair(_u16002, _u16003), _u16005), _u16006)), hAPP(c_List_Oset(tc_prod(_u16002, _u16003)), _u16004))) | ( hAPP(hAPP(c_Map_Omap__of(_u16002, _u16003), _u16004), _u16005) = hAPP(c_Option_Ooption_OSome(_u16003), _u16006)) )).
% 12.21/12.47 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16007), hAPP(hAPP(c_List_Omap(tc_prod(_u16007, _u16008), _u16007), c_Product__Type_Ofst(_u16007, _u16008)), _u16009))) | ( hAPP(c_List_Oset(tc_prod(_u16007, _u16008)), _u16009) = hAPP(c_Set_OCollect(tc_prod(_u16007, _u16008)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16007, _u16008, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16007, tc_fun(_u16008, tc_Option_Ooption(_u16008)), tc_fun(_u16008, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u16008), tc_HOL_Obool), tc_fun(tc_fun(_u16008, tc_Option_Ooption(_u16008)), tc_fun(_u16008, tc_HOL_Obool)), _u16007), c_COMBB(tc_Option_Ooption(_u16008), tc_HOL_Obool, _u16008)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u16008), tc_fun(tc_Option_Ooption(_u16008), tc_HOL_Obool), _u16007), c_fequal), hAPP(c_Map_Omap__of(_u16007, _u16008), _u16009)))), c_Option_Ooption_OSome(_u16008))))) )).
% 12.21/12.47 cnf(matrix-6751, plain, ( ~class_Groups_Ocomm__monoid__add(_u16010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16011), _u16012)) | ( c_Nitpick_Osetsum_H(_u16011, _u16010, _u16013, _u16012) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16010), hAPP(hAPP(c_List_Omap(_u16011, _u16010), _u16013), c_Hilbert__Choice_OEps(tc_List_Olist(_u16011), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16011), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16011)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16011), tc_fun(_u16011, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16011, tc_HOL_Obool), tc_fun(tc_fun(_u16011, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16011)), c_fequal), c_List_Oset(_u16011))), _u16012))), c_List_Odistinct(_u16011)))))) )).
% 12.21/12.47 cnf(matrix-6752, plain, ( ~class_Groups_Ocomm__monoid__add(_u16010) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16011), _u16012)) | ( c_Nitpick_Osetsum_H(_u16011, _u16010, _u16013, _u16012) = c_Groups_Ozero__class_Ozero(_u16010)) )).
% 12.21/12.47 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16014), _u16015)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u16014)), hAPP(c_Set_OCollect(tc_List_Olist(_u16014)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16014), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16014)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16014), tc_fun(_u16014, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16014, tc_HOL_Obool), tc_fun(tc_fun(_u16014, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16014)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16014, tc_HOL_Obool))), c_List_Oset(_u16014))), _u16015))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16014), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16014)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16014)))), _u16016))))) )).
% 12.21/12.47 cnf(matrix-6754, plain, ( ( hAPP(hAPP(c_List_Omap(_u16017, _u16018), _u16019), _u16020) != hAPP(hAPP(c_List_Omap(_u16021, _u16018), _u16022), _u16023)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16017)), _u16020) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16021)), _u16023)) )).
% 12.21/12.47 cnf(matrix-6755, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16024)), hAPP(hAPP(c_List_Omap(_u16025, _u16024), _u16026), _u16027)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16025)), _u16027)) )).
% 12.21/12.47 cnf(matrix-6756, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16028), tc_List_Olist(_u16028))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16028), tc_List_Olist(_u16028)), _u16029), _u16030)), hAPP(c_List_Olexn(_u16028, _u16031), _u16032))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16028)), _u16029) = _u16032) )).
% 12.21/12.47 cnf(matrix-6757, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16028), tc_List_Olist(_u16028))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16028), tc_List_Olist(_u16028)), _u16029), _u16030)), hAPP(c_List_Olexn(_u16028, _u16031), _u16032))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16028)), _u16030) = _u16032) )).
% 12.21/12.47 cnf(matrix-6758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16034)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16035))) | ( _u16034 != hAPP(hAPP(c_List_Olist_OCons(_u16033), _u16036), _u16035)) )).
% 12.21/12.47 cnf(matrix-6759, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16037))), c_Enum_Osublists(_u16037, _u16038)) = 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(_u16037)), _u16038))) )).
% 12.21/12.47 cnf(matrix-6760, plain, ( ( _u16040 != _u16041) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16039)), _u16040) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16039)), _u16041)) )).
% 12.21/12.47 cnf(matrix-6761, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u16042), hAPP(c_List_Oset(_u16042), _u16043))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16042)), _u16043))) )).
% 12.21/12.47 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16044), _u16045)) | ( hAPP(c_Finite__Set_Ocard(_u16044), hAPP(c_List_Oset(_u16044), _u16045)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16044)), _u16045)) )).
% 12.21/12.47 cnf(matrix-6763, plain, ( ( hAPP(c_Finite__Set_Ocard(_u16046), hAPP(c_List_Oset(_u16046), _u16047)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16047)) | hBOOL(hAPP(c_List_Odistinct(_u16046), _u16047)) )).
% 12.21/12.47 cnf(matrix-6764, plain, ( ( hAPP(c_List_Olexn(_u16048, _u16049), hAPP(c_Nat_OSuc, _u16050)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u16048), tc_List_Olist(_u16048)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u16048, tc_List_Olist(_u16048)), tc_prod(_u16048, tc_List_Olist(_u16048))), tc_prod(tc_List_Olist(_u16048), tc_List_Olist(_u16048)), c_Product__Type_Omap__pair(tc_prod(_u16048, tc_List_Olist(_u16048)), tc_List_Olist(_u16048), tc_prod(_u16048, tc_List_Olist(_u16048)), tc_List_Olist(_u16048), hAPP(c_Product__Type_Oprod_Oprod__case(_u16048, tc_List_Olist(_u16048), tc_List_Olist(_u16048)), c_List_Olist_OCons(_u16048)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16048, tc_List_Olist(_u16048), tc_List_Olist(_u16048)), c_List_Olist_OCons(_u16048)))), c_Wellfounded_Olex__prod(_u16048, tc_List_Olist(_u16048), _u16049, hAPP(c_List_Olexn(_u16048, _u16049), _u16050)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u16048), tc_List_Olist(_u16048))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16048), tc_List_Olist(_u16048), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16048), tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16048), tc_HOL_Obool)), tc_List_Olist(_u16048)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u16048))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16048)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16048), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16048)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16048)))), hAPP(c_Nat_OSuc, _u16050))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16048), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16048)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16048)))), hAPP(c_Nat_OSuc, _u16050))))))) )).
% 12.21/12.47 cnf(matrix-6765, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16051), _u16052), hAPP(c_List_Oset(_u16051), _u16053))) | 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(_u16051)), _u16053))) )).
% 12.21/12.47 cnf(matrix-6766, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16054)), hAPP(hAPP(c_List_Olist_OCons(_u16054), _u16055), _u16056)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16054)), _u16056)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6767, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16063, _u16063)), hAPP(hAPP(c_Product__Type_OPair(_u16063, _u16063), _u16065), _u16069)), _u16073)) | ( _u16065 = _u16069) )).
% 12.21/12.47 cnf(matrix-6768, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16063, _u16063)), hAPP(hAPP(c_Product__Type_OPair(_u16063, _u16063), _u16065), _u16069)), _u16073)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), _u16067), _u16071)), c_List_Olex(_u16063, _u16073))) )).
% 12.21/12.47 cnf(matrix-6769, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16067) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16071)) | ( _u16065 = _u16069) )).
% 12.21/12.47 cnf(matrix-6770, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16065), _u16067)), hAPP(hAPP(c_List_Olist_OCons(_u16063), _u16069), _u16071))), c_List_Olex(_u16063, _u16073))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16067) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16063)), _u16071)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16063), tc_List_Olist(_u16063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16063), tc_List_Olist(_u16063)), _u16067), _u16071)), c_List_Olex(_u16063, _u16073))) )).
% 12.21/12.47 cnf(matrix-6771, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16064), tc_List_Olist(_u16064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16064), tc_List_Olist(_u16064)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16066), _u16068)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16070), _u16072))), c_List_Olex(_u16064, _u16074))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16064, _u16064)), hAPP(hAPP(c_Product__Type_OPair(_u16064, _u16064), _u16066), _u16070)), _u16074)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16064)), _u16068) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16064)), _u16072)) )).
% 12.21/12.47 cnf(matrix-6772, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16064), tc_List_Olist(_u16064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16064), tc_List_Olist(_u16064)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16066), _u16068)), hAPP(hAPP(c_List_Olist_OCons(_u16064), _u16070), _u16072))), c_List_Olex(_u16064, _u16074))) | ( _u16066 != _u16070) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16064), tc_List_Olist(_u16064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16064), tc_List_Olist(_u16064)), _u16068), _u16072)), c_List_Olex(_u16064, _u16074))) )).
% 12.21/12.47 cnf(matrix-6773, plain, ( ~class_Rings_Osemiring__1(_u16075) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16075), hAPP(hAPP(c_List_Omap(_u16076, _u16075), hAPP(c_COMBK(_u16075, _u16076), _u16077)), _u16078)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16075), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u16075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16076)), _u16078))), _u16077)) )).
% 12.21/12.47 cnf(matrix-6774, plain, ( ( c_List_Olenlex(_u16079, _u16080) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16079), tc_List_Olist(_u16079), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBS(tc_List_Olist(_u16079), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u16079)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16079)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u16079))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16079)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBS(tc_List_Olist(_u16079), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u16079)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16079)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u16079), tc_Nat_Onat), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u16079))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16079)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u16079)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u16079), tc_HOL_Obool)), tc_List_Olist(_u16079)), c_COMBC(tc_List_Olist(_u16079), tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16079), tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079))), tc_fun(tc_List_Olist(_u16079), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u16079)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16079)), c_member(tc_prod(tc_List_Olist(_u16079), tc_List_Olist(_u16079))))), c_Product__Type_OPair(tc_List_Olist(_u16079), tc_List_Olist(_u16079))))), c_List_Olex(_u16079, _u16080))))))) )).
% 12.21/12.47 cnf(matrix-6775, plain, ( ( c_List_Olenlex(_u16081, _u16082) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u16081)), tc_List_Olist(_u16081)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u16081), c_Wellfounded_Oless__than, c_List_Olex(_u16081, _u16082))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16081), tc_List_Olist(_u16081), tc_prod(tc_Nat_Onat, tc_List_Olist(_u16081))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u16081), tc_prod(tc_Nat_Onat, tc_List_Olist(_u16081))), tc_List_Olist(_u16081)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u16081))), c_Nat_Osize__class_Osize(tc_List_Olist(_u16081)))), c_COMBI(tc_List_Olist(_u16081))))) )).
% 12.21/12.47 cnf(matrix-6776, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16083), _u16084)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u16083)), hAPP(c_Set_OCollect(tc_List_Olist(_u16083)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16083), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16083)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16083), tc_fun(_u16083, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16083, tc_HOL_Obool), tc_fun(tc_fun(_u16083, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16083)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16083, tc_HOL_Obool))), c_List_Oset(_u16083))), _u16084))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16083), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16083)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16083)))), _u16085))))) )).
% 12.21/12.47 cnf(matrix-6777, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16088), _u16090)) | ( c_Nitpick_Ocard_H(_u16088, _u16090) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16088)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16088), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16088), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16088)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16088), tc_fun(_u16088, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16088, tc_HOL_Obool), tc_fun(tc_fun(_u16088, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16088)), c_fequal), c_List_Oset(_u16088))), _u16090))), c_List_Odistinct(_u16088))))) )).
% 12.21/12.47 cnf(matrix-6778, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16089), _u16091)) | ( c_Nitpick_Ocard_H(_u16089, _u16091) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-6779, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u16092)), c_Enum_On__lists(_u16092, _u16093, _u16094)) = hAPP(c_Set_OCollect(tc_List_Olist(_u16092)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16092), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16092)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16092), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16092)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16092)))), _u16093))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16092), tc_fun(_u16092, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16092, tc_HOL_Obool), tc_fun(tc_fun(_u16092, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16092)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16092, tc_HOL_Obool))), c_List_Oset(_u16092))), hAPP(c_List_Oset(_u16092), _u16094))))) )).
% 12.21/12.47 cnf(matrix-6780, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16095), _u16096)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16095)), c_Enum_On__lists(_u16095, _u16097, _u16096))) )).
% 12.21/12.47 cnf(matrix-6781, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16098))), c_Enum_On__lists(_u16098, _u16099, _u16100)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16098)), _u16100)), _u16099)) )).
% 12.21/12.47 cnf(matrix-6782, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16101)), _u16102), hAPP(c_List_Oset(tc_List_Olist(_u16101)), c_Enum_On__lists(_u16101, _u16103, _u16104)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16101)), _u16102) = _u16103) )).
% 12.21/12.47 cnf(matrix-6783, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16105)), c_List_Osublist(_u16105, _u16106, _u16107)) = 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(_u16105)), _u16106)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u16107))))) )).
% 12.21/12.47 cnf(matrix-6784, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16114), tc_List_Olist(_u16114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16114), tc_List_Olist(_u16114)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16116), _u16118)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16120), _u16122))), c_List_Olexord(_u16114, _u16124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16116), _u16120)), _u16124)) | ( _u16116 = _u16120) )).
% 12.21/12.47 cnf(matrix-6785, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16114), tc_List_Olist(_u16114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16114), tc_List_Olist(_u16114)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16116), _u16118)), hAPP(hAPP(c_List_Olist_OCons(_u16114), _u16120), _u16122))), c_List_Olexord(_u16114, _u16124))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16114, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16114, _u16114), _u16116), _u16120)), _u16124)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16114), tc_List_Olist(_u16114))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16114), tc_List_Olist(_u16114)), _u16118), _u16122)), c_List_Olexord(_u16114, _u16124))) )).
% 12.21/12.47 cnf(matrix-6786, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16117), _u16119)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16121), _u16123))), c_List_Olexord(_u16115, _u16125))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16115, _u16115)), hAPP(hAPP(c_Product__Type_OPair(_u16115, _u16115), _u16117), _u16121)), _u16125)) )).
% 12.21/12.47 cnf(matrix-6787, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16117), _u16119)), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16121), _u16123))), c_List_Olexord(_u16115, _u16125))) | ( _u16117 != _u16121) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), _u16119), _u16123)), c_List_Olexord(_u16115, _u16125))) )).
% 12.21/12.47 cnf(matrix-6788, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16126), _u16127)) | hBOOL(hAPP(c_List_Odistinct(_u16126), c_List_Osublist(_u16126, _u16127, _u16128))) )).
% 12.21/12.47 cnf(matrix-6789, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16129), _u16130), hAPP(c_List_Oset(_u16129), c_List_Osublist(_u16129, _u16131, _u16132)))) | hBOOL(hAPP(hAPP(c_member(_u16129), _u16130), hAPP(c_List_Oset(_u16129), _u16131))) )).
% 12.21/12.47 cnf(matrix-6790, plain, ( hBOOL(hAPP(hAPP(c_member(_u16133), _u16134), hAPP(c_List_Oset(_u16133), _u16135))) | ~hBOOL(hAPP(hAPP(c_member(_u16133), _u16134), hAPP(c_List_Oset(_u16133), c_List_Osublist(_u16133, _u16135, _u16136)))) )).
% 12.21/12.47 cnf(matrix-6791, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16137, tc_HOL_Obool)), hAPP(c_List_Oset(_u16137), c_List_Osublist(_u16137, _u16138, _u16139))), hAPP(c_List_Oset(_u16137), _u16138))) )).
% 12.21/12.47 cnf(matrix-6792, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16144), tc_List_Olist(_u16144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16144), tc_List_Olist(_u16144)), _u16146), _u16148)), c_List_Olex(_u16144, _u16150))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16144), tc_List_Olist(_u16144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16144), tc_List_Olist(_u16144)), _u16146), _u16148)), c_List_Olexord(_u16144, _u16150))) )).
% 12.21/12.47 cnf(matrix-6793, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16144), tc_List_Olist(_u16144))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16144), tc_List_Olist(_u16144)), _u16146), _u16148)), c_List_Olex(_u16144, _u16150))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16144)), _u16146) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16144)), _u16148)) )).
% 12.21/12.47 cnf(matrix-6794, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16145), tc_List_Olist(_u16145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16145), tc_List_Olist(_u16145)), _u16147), _u16149)), c_List_Olexord(_u16145, _u16151))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16145)), _u16147) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16145)), _u16149)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16145), tc_List_Olist(_u16145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16145), tc_List_Olist(_u16145)), _u16147), _u16149)), c_List_Olex(_u16145, _u16151))) )).
% 12.21/12.47 cnf(matrix-6795, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16152, _u16152)), hAPP(hAPP(c_Product__Type_OPair(_u16152, _u16152), _u16153), _u16154)), c_Transitive__Closure_Ortrancl(_u16152, _u16155))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16152), tc_List_Olist(_u16152))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16152), tc_List_Olist(_u16152)), _u16156), _u16157)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16152), c_List_Olistrel1(_u16152, _u16155)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16152), tc_List_Olist(_u16152))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16152), tc_List_Olist(_u16152)), hAPP(hAPP(c_List_Olist_OCons(_u16152), _u16153), _u16156)), hAPP(hAPP(c_List_Olist_OCons(_u16152), _u16154), _u16157))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16152), c_List_Olistrel1(_u16152, _u16155)))) )).
% 12.21/12.47 cnf(matrix-6796, plain, ( ( c_List_Olist_Olist__size(_u16158, _u16159, hAPP(hAPP(c_List_Olist_OCons(_u16158), _u16160), _u16161)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u16159, _u16160)), c_List_Olist_Olist__size(_u16158, _u16159, _u16161))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6797, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16162), _u16163), c_Wellfounded_Oacc(_u16162, _u16164))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16162)), _u16165), c_Wellfounded_Oacc(tc_List_Olist(_u16162), c_List_Olistrel1(_u16162, _u16164)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16162)), hAPP(hAPP(c_List_Olist_OCons(_u16162), _u16163), _u16165)), c_Wellfounded_Oacc(tc_List_Olist(_u16162), c_List_Olistrel1(_u16162, _u16164)))) )).
% 12.21/12.47 cnf(matrix-6798, plain, ( ( c_List_Olist_Olist__size(_u16166, _u16167, hAPP(hAPP(c_List_Omap(_u16168, _u16166), _u16169), _u16170)) = c_List_Olist_Olist__size(_u16168, hAPP(c_Fun_Ocomp(_u16166, tc_Nat_Onat, _u16168, _u16167), _u16169), _u16170)) )).
% 12.21/12.47 cnf(matrix-6799, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16171, _u16171), tc_HOL_Obool)), _u16172), _u16173)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16171), tc_List_Olist(_u16171)), tc_HOL_Obool)), c_List_Olistrel1(_u16171, _u16172)), c_List_Olistrel1(_u16171, _u16173))) )).
% 12.21/12.47 cnf(matrix-6800, plain, ( ( c_List_Olistrel1(_u16174, hAPP(c_Relation_Oconverse(_u16174, _u16174), _u16175)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u16174), tc_List_Olist(_u16174)), c_List_Olistrel1(_u16174, _u16175))) )).
% 12.21/12.47 cnf(matrix-6801, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16176), tc_List_Olist(_u16176)), tc_HOL_Obool)), c_List_Olistrel1(_u16176, c_Transitive__Closure_Ortrancl(_u16176, _u16177))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16176), c_List_Olistrel1(_u16176, _u16177)))) )).
% 12.21/12.47 cnf(matrix-6802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16178), tc_List_Olist(_u16178))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16178), tc_List_Olist(_u16178)), _u16179), _u16180)), c_List_Olistrel1(_u16178, _u16181))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16178), tc_List_Olist(_u16178))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16178), tc_List_Olist(_u16178)), hAPP(hAPP(c_List_Olist_OCons(_u16178), _u16182), _u16179)), hAPP(hAPP(c_List_Olist_OCons(_u16178), _u16182), _u16180))), c_List_Olistrel1(_u16178, _u16181))) )).
% 12.21/12.47 cnf(matrix-6803, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16183), tc_List_Olist(_u16183))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16183), tc_List_Olist(_u16183)), _u16184), _u16185)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16183), c_List_Olistrel1(_u16183, _u16186)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16183), tc_List_Olist(_u16183))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16183), tc_List_Olist(_u16183)), hAPP(hAPP(c_List_Olist_OCons(_u16183), _u16187), _u16184)), hAPP(hAPP(c_List_Olist_OCons(_u16183), _u16187), _u16185))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16183), c_List_Olistrel1(_u16183, _u16186)))) )).
% 12.21/12.47 cnf(matrix-6804, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16188), tc_List_Olist(_u16188))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16188), tc_List_Olist(_u16188)), _u16189), _u16190)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16188), c_List_Olistrel1(_u16188, _u16191)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16188)), _u16189) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16188)), _u16190)) )).
% 12.21/12.47 cnf(matrix-6805, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16192), tc_List_Olist(_u16192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16192), tc_List_Olist(_u16192)), _u16193), _u16194)), c_List_Olistrel1(_u16192, _u16195))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16193) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16192)), _u16194)) )).
% 12.21/12.47 cnf(matrix-6806, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16200), tc_List_Olist(_u16200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16200), tc_List_Olist(_u16200)), _u16202), _u16204)), c_List_Olistrel1(_u16200, hAPP(c_Relation_Oconverse(_u16200, _u16200), _u16206)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16200), tc_List_Olist(_u16200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16200), tc_List_Olist(_u16200)), _u16202), _u16204)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u16200), tc_List_Olist(_u16200)), c_List_Olistrel1(_u16200, _u16206)))) )).
% 12.21/12.47 cnf(matrix-6807, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16201), tc_List_Olist(_u16201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16201), tc_List_Olist(_u16201)), _u16203), _u16205)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u16201), tc_List_Olist(_u16201)), c_List_Olistrel1(_u16201, _u16207)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16201), tc_List_Olist(_u16201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16201), tc_List_Olist(_u16201)), _u16203), _u16205)), c_List_Olistrel1(_u16201, hAPP(c_Relation_Oconverse(_u16201, _u16201), _u16207)))) )).
% 12.21/12.47 cnf(matrix-6808, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16208), _u16209), hAPP(c_List_Oset(_u16208), _u16210))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16211), hAPP(_u16212, _u16209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16211), c_List_Olist_Olist__size(_u16208, _u16212, _u16210))) )).
% 12.21/12.47 cnf(matrix-6809, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16213), _u16214), hAPP(c_List_Oset(_u16213), _u16215))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16216), hAPP(_u16217, _u16214))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16216), c_List_Olist_Olist__size(_u16213, _u16217, _u16215))) )).
% 12.21/12.47 cnf(matrix-6810, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16218, _u16218)), hAPP(hAPP(c_Product__Type_OPair(_u16218, _u16218), _u16219), _u16220)), _u16221)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16218), tc_List_Olist(_u16218))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16218), tc_List_Olist(_u16218)), hAPP(hAPP(c_List_Olist_OCons(_u16218), _u16219), _u16222)), hAPP(hAPP(c_List_Olist_OCons(_u16218), _u16220), _u16222))), c_List_Olistrel1(_u16218, _u16221))) )).
% 12.21/12.47 cnf(matrix-6811, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16229, _u16229)), hAPP(hAPP(c_Product__Type_OPair(_u16229, _u16229), _u16231), _u16235)), _u16239)) | ( _u16231 = _u16235) )).
% 12.21/12.47 cnf(matrix-6812, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16229, _u16229)), hAPP(hAPP(c_Product__Type_OPair(_u16229, _u16229), _u16231), _u16235)), _u16239)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), _u16233), _u16237)), c_List_Olistrel1(_u16229, _u16239))) )).
% 12.21/12.47 cnf(matrix-6813, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | ( _u16233 = _u16237) | ( _u16231 = _u16235) )).
% 12.21/12.47 cnf(matrix-6814, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16233)), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16235), _u16237))), c_List_Olistrel1(_u16229, _u16239))) | ( _u16233 = _u16237) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16229), tc_List_Olist(_u16229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16229), tc_List_Olist(_u16229)), _u16233), _u16237)), c_List_Olistrel1(_u16229, _u16239))) )).
% 12.21/12.47 cnf(matrix-6815, 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)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16232), _u16234)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16236), _u16238))), c_List_Olistrel1(_u16230, _u16240))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16230, _u16230)), hAPP(hAPP(c_Product__Type_OPair(_u16230, _u16230), _u16232), _u16236)), _u16240)) | ( _u16234 != _u16238) )).
% 12.21/12.47 cnf(matrix-6816, 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)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16232), _u16234)), hAPP(hAPP(c_List_Olist_OCons(_u16230), _u16236), _u16238))), c_List_Olistrel1(_u16230, _u16240))) | ( _u16232 != _u16236) | ~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)), _u16234), _u16238)), c_List_Olistrel1(_u16230, _u16240))) )).
% 12.21/12.47 cnf(matrix-6817, plain, ( ( c_List_Olist_Olist__size(_u16241, _u16242, _u16243) = 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(_u16241, tc_Nat_Onat), _u16242), _u16243))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16241)), _u16243))) )).
% 12.21/12.47 cnf(matrix-6818, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16244), tc_List_Olist(_u16244), c_List_Olistrel(_u16244, _u16245)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16244)), hAPP(hAPP(c_List_Olist_OCons(_u16244), _u16246), _u16247)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16244), tc_HOL_Obool)))) = c_List_Oset__Cons(_u16244, hAPP(c_Relation_OImage(_u16244, _u16244, _u16245), hAPP(hAPP(c_Set_Oinsert(_u16244), _u16246), c_Orderings_Obot__class_Obot(tc_fun(_u16244, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u16244), tc_List_Olist(_u16244), c_List_Olistrel(_u16244, _u16245)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16244)), _u16247), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16244), tc_HOL_Obool)))))) )).
% 12.21/12.47 cnf(matrix-6819, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u16248, _u16249) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16248), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16249), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.47 cnf(matrix-6820, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16250), tc_List_Olist(_u16250))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16250), tc_List_Olist(_u16250)), _u16251), _u16251)), c_List_Olistrel(_u16250, c_Transitive__Closure_Ortrancl(_u16250, _u16252)))) )).
% 12.21/12.47 cnf(matrix-6821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16253, _u16253), tc_HOL_Obool)), _u16254), _u16255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16253), tc_List_Olist(_u16253)), tc_HOL_Obool)), c_List_Olistrel(_u16253, _u16254)), c_List_Olistrel(_u16253, _u16255))) )).
% 12.21/12.47 cnf(matrix-6822, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16256, _u16257)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16256, _u16257)) )).
% 12.21/12.47 cnf(matrix-6823, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16258, _u16259) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16258, _u16259))) )).
% 12.21/12.47 cnf(matrix-6824, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u16260, _u16261))) )).
% 12.21/12.47 cnf(matrix-6825, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16262), tc_List_Olist(_u16262)), tc_HOL_Obool)), c_List_Olistrel(_u16262, _u16263)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16262), c_List_Olistrel1(_u16262, _u16263)))) )).
% 12.21/12.47 cnf(matrix-6826, plain, ( ~class_Groups_Ocomm__monoid__add(_u16264) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16264), _u16265), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16266, _u16267))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16264), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16264), _u16265), c_List_Oupto(_u16266, _u16267)))) )).
% 12.21/12.47 cnf(matrix-6827, plain, ( ~class_Groups_Ocomm__monoid__add(_u16268) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16268), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16268), _u16269), c_List_Oupto(_u16270, _u16271))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16268), _u16269), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16270, _u16271)))) )).
% 12.21/12.47 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16272), tc_List_Olist(_u16272))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16272), tc_List_Olist(_u16272)), _u16273), _u16274)), c_List_Olistrel(_u16272, _u16275))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16273) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16274)) )).
% 12.21/12.47 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16276), tc_List_Olist(_u16276))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16276), tc_List_Olist(_u16276)), _u16277), _u16278)), c_List_Olistrel(_u16276, c_Transitive__Closure_Ortrancl(_u16276, _u16279)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16276), tc_List_Olist(_u16276))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16276), tc_List_Olist(_u16276)), _u16278), _u16280)), c_List_Olistrel(_u16276, c_Transitive__Closure_Ortrancl(_u16276, _u16279)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16276), tc_List_Olist(_u16276))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16276), tc_List_Olist(_u16276)), _u16277), _u16280)), c_List_Olistrel(_u16276, c_Transitive__Closure_Ortrancl(_u16276, _u16279)))) )).
% 12.21/12.47 cnf(matrix-6830, plain, ( ( c_List_Olistrel(_u16281, c_Transitive__Closure_Ortrancl(_u16281, _u16282)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16281), c_List_Olistrel1(_u16281, _u16282))) )).
% 12.21/12.47 cnf(matrix-6831, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u16283), _u16284) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16283, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16284), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.47 cnf(matrix-6832, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16285), tc_List_Olist(_u16285))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16285), tc_List_Olist(_u16285)), _u16286), _u16287)), c_List_Olistrel1(_u16285, _u16288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16285), tc_List_Olist(_u16285))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16285), tc_List_Olist(_u16285)), _u16286), _u16287)), c_List_Olistrel(_u16285, c_Transitive__Closure_Ortrancl(_u16285, _u16288)))) )).
% 12.21/12.47 cnf(matrix-6833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16289, _u16289), tc_HOL_Obool)), _u16290), _u16291)) | ~c_Relation_Orefl__on(_u16289, c_Orderings_Otop__class_Otop(tc_fun(_u16289, tc_HOL_Obool)), _u16291) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16289), tc_List_Olist(_u16289)), tc_HOL_Obool)), c_List_Olistrel1(_u16289, _u16290)), c_List_Olistrel(_u16289, _u16291))) )).
% 12.21/12.47 cnf(matrix-6834, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u16292, _u16293) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16292), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16293))) )).
% 12.21/12.47 cnf(matrix-6835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16294), tc_List_Olist(_u16294))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16294), tc_List_Olist(_u16294)), _u16295), _u16296)), c_List_Olistrel(_u16294, _u16297))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16294), tc_List_Olist(_u16294))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16294), tc_List_Olist(_u16294)), _u16295), _u16296)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u16294), c_List_Olistrel1(_u16294, _u16297)))) )).
% 12.21/12.47 cnf(matrix-6836, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16298, _u16298)), hAPP(hAPP(c_Product__Type_OPair(_u16298, _u16298), _u16299), _u16300)), _u16301)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16298), tc_List_Olist(_u16298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16298), tc_List_Olist(_u16298)), _u16302), _u16303)), c_List_Olistrel(_u16298, _u16301))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16298), tc_List_Olist(_u16298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16298), tc_List_Olist(_u16298)), hAPP(hAPP(c_List_Olist_OCons(_u16298), _u16299), _u16302)), hAPP(hAPP(c_List_Olist_OCons(_u16298), _u16300), _u16303))), c_List_Olistrel(_u16298, _u16301))) )).
% 12.21/12.47 cnf(matrix-6837, plain, ( ~c_List_Onat__list(_u16305) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16305)) )).
% 12.21/12.47 cnf(matrix-6838, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16306)) | c_List_Onat__list(_u16306) )).
% 12.21/12.47 cnf(matrix-6839, plain, ( ~c_List_Olistrelp(_u16311, hAPP(hAPP(c_COMBC(_u16311, tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_fun(_u16311, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_fun(_u16311, tc_HOL_Obool)), _u16311), c_COMBC(_u16311, tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_prod(_u16311, _u16311)), tc_fun(_u16311, tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool)), _u16311), hAPP(c_COMBB(tc_prod(_u16311, _u16311), tc_fun(tc_fun(tc_prod(_u16311, _u16311), tc_HOL_Obool), tc_HOL_Obool), _u16311), c_member(tc_prod(_u16311, _u16311)))), c_Product__Type_OPair(_u16311, _u16311)))), _u16313), _u16315, _u16317) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16311), tc_List_Olist(_u16311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16311), tc_List_Olist(_u16311)), _u16315), _u16317)), c_List_Olistrel(_u16311, _u16313))) )).
% 12.21/12.47 cnf(matrix-6840, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16312), tc_List_Olist(_u16312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16312), tc_List_Olist(_u16312)), _u16316), _u16318)), c_List_Olistrel(_u16312, _u16314))) | c_List_Olistrelp(_u16312, hAPP(hAPP(c_COMBC(_u16312, tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16312, tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool)), _u16312), c_COMBC(_u16312, tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16312, tc_prod(_u16312, _u16312)), tc_fun(_u16312, tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool)), _u16312), hAPP(c_COMBB(tc_prod(_u16312, _u16312), tc_fun(tc_fun(tc_prod(_u16312, _u16312), tc_HOL_Obool), tc_HOL_Obool), _u16312), c_member(tc_prod(_u16312, _u16312)))), c_Product__Type_OPair(_u16312, _u16312)))), _u16314), _u16316, _u16318) )).
% 12.21/12.47 cnf(matrix-6841, plain, ( ~c_List_Olistrelp(_u16325, _u16327, hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16329), _u16331), hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16333), _u16335)) | hBOOL(hAPP(hAPP(_u16327, _u16329), _u16333)) )).
% 12.21/12.47 cnf(matrix-6842, plain, ( ~c_List_Olistrelp(_u16325, _u16327, hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16329), _u16331), hAPP(hAPP(c_List_Olist_OCons(_u16325), _u16333), _u16335)) | c_List_Olistrelp(_u16325, _u16327, _u16331, _u16335) )).
% 12.21/12.47 cnf(matrix-6843, plain, ( ~hBOOL(hAPP(hAPP(_u16328, _u16330), _u16334)) | ~c_List_Olistrelp(_u16326, _u16328, _u16332, _u16336) | c_List_Olistrelp(_u16326, _u16328, hAPP(hAPP(c_List_Olist_OCons(_u16326), _u16330), _u16332), hAPP(hAPP(c_List_Olist_OCons(_u16326), _u16334), _u16336)) )).
% 12.21/12.47 cnf(matrix-6844, plain, ( ~hBOOL(hAPP(hAPP(_u16337, _u16338), _u16339)) | ~c_List_Olistrelp(_u16340, _u16337, _u16341, _u16342) | c_List_Olistrelp(_u16340, _u16337, hAPP(hAPP(c_List_Olist_OCons(_u16340), _u16338), _u16341), hAPP(hAPP(c_List_Olist_OCons(_u16340), _u16339), _u16342)) )).
% 12.21/12.47 cnf(matrix-6845, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16349), tc_List_Olist(_u16349))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16349), tc_List_Olist(_u16349)), _u16351), _u16353)), c_List_Olistrel(_u16349, _u16355))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16349)), _u16351) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16349)), _u16353)) )).
% 12.21/12.47 cnf(matrix-6846, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16349), tc_List_Olist(_u16349))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16349), tc_List_Olist(_u16349)), _u16351), _u16353)), c_List_Olistrel(_u16349, _u16355))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16349, _u16349)), _u16343), hAPP(c_List_Oset(tc_prod(_u16349, _u16349)), hAPP(hAPP(c_List_Ozip(_u16349, _u16349), _u16351), _u16353)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16349, _u16349, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16349, tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_fun(_u16349, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16349, tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_fun(_u16349, tc_HOL_Obool)), _u16349), c_COMBC(_u16349, tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16349, tc_prod(_u16349, _u16349)), tc_fun(_u16349, tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool)), _u16349), hAPP(c_COMBB(tc_prod(_u16349, _u16349), tc_fun(tc_fun(tc_prod(_u16349, _u16349), tc_HOL_Obool), tc_HOL_Obool), _u16349), c_member(tc_prod(_u16349, _u16349)))), c_Product__Type_OPair(_u16349, _u16349)))), _u16355)), _u16343)) )).
% 12.21/12.47 cnf(matrix-6847, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16350), tc_List_Olist(_u16350))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16350), tc_List_Olist(_u16350)), _u16352), _u16354)), c_List_Olistrel(_u16350, _u16356))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16354)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16350, _u16350)), skolem413(_u16356, _u16354, _u16352, _u16350)), hAPP(c_List_Oset(tc_prod(_u16350, _u16350)), hAPP(hAPP(c_List_Ozip(_u16350, _u16350), _u16352), _u16354)))) )).
% 12.21/12.47 cnf(matrix-6848, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16350), tc_List_Olist(_u16350))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16350), tc_List_Olist(_u16350)), _u16352), _u16354)), c_List_Olistrel(_u16350, _u16356))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16354)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16350, _u16350, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16350, tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_fun(_u16350, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16350, tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_fun(_u16350, tc_HOL_Obool)), _u16350), c_COMBC(_u16350, tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16350, tc_prod(_u16350, _u16350)), tc_fun(_u16350, tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool)), _u16350), hAPP(c_COMBB(tc_prod(_u16350, _u16350), tc_fun(tc_fun(tc_prod(_u16350, _u16350), tc_HOL_Obool), tc_HOL_Obool), _u16350), c_member(tc_prod(_u16350, _u16350)))), c_Product__Type_OPair(_u16350, _u16350)))), _u16356)), skolem413(_u16356, _u16354, _u16352, _u16350))) )).
% 12.21/12.47 cnf(matrix-6849, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16359), _u16361), _u16362))), c_List_Olistrel(_u16359, _u16363))) | ( _u16360 = hAPP(hAPP(c_List_Olist_OCons(_u16359), skolem414(_u16363, _u16362, _u16361, _u16360, _u16359)), skolem415(_u16363, _u16362, _u16361, _u16360, _u16359))) )).
% 12.21/12.47 cnf(matrix-6850, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16359), _u16361), _u16362))), c_List_Olistrel(_u16359, _u16363))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16359, _u16359)), hAPP(hAPP(c_Product__Type_OPair(_u16359, _u16359), skolem414(_u16363, _u16362, _u16361, _u16360, _u16359)), _u16361)), _u16363)) )).
% 12.21/12.47 cnf(matrix-6851, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16359), _u16361), _u16362))), c_List_Olistrel(_u16359, _u16363))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16359), tc_List_Olist(_u16359))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16359), tc_List_Olist(_u16359)), skolem415(_u16363, _u16362, _u16361, _u16360, _u16359)), _u16362)), c_List_Olistrel(_u16359, _u16363))) )).
% 12.21/12.47 cnf(matrix-6852, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u16364, _u16365))), hAPP(hAPP(c_List_Ozip(_u16364, _u16365), _u16366), _u16367)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16364)), _u16366)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16365)), _u16367))) )).
% 12.21/12.47 cnf(matrix-6853, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16368, _u16368), _u16369), _u16369) = hAPP(hAPP(c_List_Omap(_u16368, tc_prod(_u16368, _u16368)), hAPP(hAPP(c_COMBS(_u16368, _u16368, tc_prod(_u16368, _u16368)), c_Product__Type_OPair(_u16368, _u16368)), c_COMBI(_u16368))), _u16369)) )).
% 12.21/12.47 cnf(matrix-6854, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16370), _u16371)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16372, _u16370)), hAPP(hAPP(c_List_Ozip(_u16372, _u16370), _u16373), _u16371))) )).
% 12.21/12.47 cnf(matrix-6855, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16374), _u16375)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16374, _u16376)), hAPP(hAPP(c_List_Ozip(_u16374, _u16376), _u16375), _u16377))) )).
% 12.21/12.47 cnf(matrix-6856, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16378)), _u16379) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16380)), _u16381)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16378)), _u16382) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16380)), _u16381)) | ~hBOOL(hAPP(c_List_Odistinct(_u16380), _u16381)) | ( hAPP(c_Map_Omap__of(_u16380, _u16378), hAPP(hAPP(c_List_Ozip(_u16380, _u16378), _u16381), _u16379)) != hAPP(c_Map_Omap__of(_u16380, _u16378), hAPP(hAPP(c_List_Ozip(_u16380, _u16378), _u16381), _u16382))) | ( _u16379 = _u16382) )).
% 12.21/12.47 cnf(matrix-6857, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16383)), _u16384) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16385)), _u16386)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16383, _u16385), _u16383), c_Product__Type_Ofst(_u16383, _u16385)), hAPP(hAPP(c_List_Ozip(_u16383, _u16385), _u16384), _u16386)) = _u16384) )).
% 12.21/12.47 cnf(matrix-6858, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16387)), _u16388) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16389)), _u16390)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16387, _u16389), _u16389), c_Product__Type_Osnd(_u16387, _u16389)), hAPP(hAPP(c_List_Ozip(_u16387, _u16389), _u16388), _u16390)) = _u16390) )).
% 12.21/12.47 cnf(matrix-6859, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16391, _u16392), hAPP(hAPP(c_List_Omap(tc_prod(_u16391, _u16392), _u16391), c_Product__Type_Ofst(_u16391, _u16392)), _u16393)), hAPP(hAPP(c_List_Omap(tc_prod(_u16391, _u16392), _u16392), c_Product__Type_Osnd(_u16391, _u16392)), _u16393)) = _u16393) )).
% 12.21/12.47 cnf(matrix-6860, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16394, _u16395), hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16397)), hAPP(hAPP(c_List_Olist_OCons(_u16395), _u16398), _u16399)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u16394, _u16395)), hAPP(hAPP(c_Product__Type_OPair(_u16394, _u16395), _u16396), _u16398)), hAPP(hAPP(c_List_Ozip(_u16394, _u16395), _u16397), _u16399))) )).
% 12.21/12.47 cnf(matrix-6861, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)) | ( hAPP(hAPP(c_List_Ozip(_u16400, _u16402), _u16401), _u16403) != _u16404) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16400), c_Product__Type_Ofst(_u16400, _u16402)), _u16404) = _u16401) )).
% 12.21/12.47 cnf(matrix-6862, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)) | ( hAPP(hAPP(c_List_Ozip(_u16400, _u16402), _u16401), _u16403) != _u16404) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16402), c_Product__Type_Osnd(_u16400, _u16402)), _u16404) = _u16403) )).
% 12.21/12.47 cnf(matrix-6863, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16400), c_Product__Type_Ofst(_u16400, _u16402)), _u16404) != _u16401) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16400, _u16402), _u16402), c_Product__Type_Osnd(_u16400, _u16402)), _u16404) != _u16403) | ( hAPP(hAPP(c_List_Ozip(_u16400, _u16402), _u16401), _u16403) = _u16404) )).
% 12.21/12.47 cnf(matrix-6864, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16405, _u16406), _u16407), _u16408), hAPP(hAPP(c_List_Ozip(_u16405, _u16406), _u16409), hAPP(hAPP(c_List_Omap(_u16410, _u16406), _u16411), _u16412))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16405, _u16410), _u16407), hAPP(c_Product__Type_Oprod_Oprod__case(_u16405, _u16410, _u16407), hAPP(hAPP(c_COMBB(tc_fun(_u16410, tc_prod(_u16405, _u16406)), tc_fun(_u16410, _u16407), _u16405), hAPP(c_COMBB(tc_prod(_u16405, _u16406), _u16407, _u16410), _u16408)), hAPP(hAPP(c_COMBC(_u16405, tc_fun(_u16410, _u16406), tc_fun(_u16410, tc_prod(_u16405, _u16406))), hAPP(hAPP(c_COMBB(tc_fun(_u16406, tc_prod(_u16405, _u16406)), tc_fun(tc_fun(_u16410, _u16406), tc_fun(_u16410, tc_prod(_u16405, _u16406))), _u16405), c_COMBB(_u16406, tc_prod(_u16405, _u16406), _u16410)), c_Product__Type_OPair(_u16405, _u16406))), _u16411)))), hAPP(hAPP(c_List_Ozip(_u16405, _u16410), _u16409), _u16412))) )).
% 12.21/12.47 cnf(matrix-6865, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16413, _u16414), _u16415), _u16416), hAPP(hAPP(c_List_Ozip(_u16413, _u16414), hAPP(hAPP(c_List_Omap(_u16417, _u16413), _u16418), _u16419)), _u16420)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16417, _u16414), _u16415), hAPP(c_Product__Type_Oprod_Oprod__case(_u16417, _u16414, _u16415), hAPP(hAPP(c_COMBB(tc_fun(_u16414, tc_prod(_u16413, _u16414)), tc_fun(_u16414, _u16415), _u16417), hAPP(c_COMBB(tc_prod(_u16413, _u16414), _u16415, _u16414), _u16416)), hAPP(hAPP(c_COMBB(_u16413, tc_fun(_u16414, tc_prod(_u16413, _u16414)), _u16417), c_Product__Type_OPair(_u16413, _u16414)), _u16418)))), hAPP(hAPP(c_List_Ozip(_u16417, _u16414), _u16419), _u16420))) )).
% 12.21/12.47 cnf(matrix-6866, plain, ( ( _u16426 != _u16428) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16430)), _u16426) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16430)), _u16428)) )).
% 12.21/12.47 cnf(matrix-6867, plain, ( ( _u16426 != _u16428) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16430, _u16430)), _u16421), hAPP(c_List_Oset(tc_prod(_u16430, _u16430)), hAPP(hAPP(c_List_Ozip(_u16430, _u16430), _u16426), _u16428)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16430, _u16430, tc_HOL_Obool), c_fequal), _u16421)) )).
% 12.21/12.47 cnf(matrix-6868, plain, ( ( _u16427 = _u16429) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16429)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16431, _u16431)), skolem416(_u16431, _u16429, _u16427)), hAPP(c_List_Oset(tc_prod(_u16431, _u16431)), hAPP(hAPP(c_List_Ozip(_u16431, _u16431), _u16427), _u16429)))) )).
% 12.21/12.47 cnf(matrix-6869, plain, ( ( _u16427 = _u16429) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16431)), _u16429)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16431, _u16431, tc_HOL_Obool), c_fequal), skolem416(_u16431, _u16429, _u16427))) )).
% 12.21/12.47 cnf(matrix-6870, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_Product__Type_OPair(_u16436, _u16436), _u16438), _u16440)), hAPP(c_List_Oset(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_List_Ozip(_u16436, _u16436), _u16442), _u16442)))) | hBOOL(hAPP(hAPP(c_member(_u16436), _u16438), hAPP(c_List_Oset(_u16436), _u16442))) )).
% 12.21/12.47 cnf(matrix-6871, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_Product__Type_OPair(_u16436, _u16436), _u16438), _u16440)), hAPP(c_List_Oset(tc_prod(_u16436, _u16436)), hAPP(hAPP(c_List_Ozip(_u16436, _u16436), _u16442), _u16442)))) | ( _u16438 = _u16440) )).
% 12.21/12.47 cnf(matrix-6872, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16437), _u16439), hAPP(c_List_Oset(_u16437), _u16443))) | ( _u16439 != _u16441) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16437, _u16437)), hAPP(hAPP(c_Product__Type_OPair(_u16437, _u16437), _u16439), _u16441)), hAPP(c_List_Oset(tc_prod(_u16437, _u16437)), hAPP(hAPP(c_List_Ozip(_u16437, _u16437), _u16443), _u16443)))) )).
% 12.21/12.47 cnf(matrix-6873, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16444, _u16445)), hAPP(hAPP(c_Product__Type_OPair(_u16444, _u16445), _u16446), _u16447)), hAPP(c_List_Oset(tc_prod(_u16444, _u16445)), hAPP(hAPP(c_List_Ozip(_u16444, _u16445), _u16448), _u16449)))) | hBOOL(hAPP(hAPP(c_member(_u16444), _u16446), hAPP(c_List_Oset(_u16444), _u16448))) )).
% 12.21/12.47 cnf(matrix-6874, plain, ( hBOOL(hAPP(hAPP(c_member(_u16451), _u16453), hAPP(c_List_Oset(_u16451), _u16455))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16450, _u16451)), hAPP(hAPP(c_Product__Type_OPair(_u16450, _u16451), _u16452), _u16453)), hAPP(c_List_Oset(tc_prod(_u16450, _u16451)), hAPP(hAPP(c_List_Ozip(_u16450, _u16451), _u16454), _u16455)))) )).
% 12.21/12.47 cnf(matrix-6875, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_Product__Type_OPair(_u16456, _u16457), _u16458), _u16459)), hAPP(c_List_Oset(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_List_Ozip(_u16456, _u16457), _u16460), _u16461)))) | hBOOL(hAPP(hAPP(c_member(_u16456), _u16458), hAPP(c_List_Oset(_u16456), _u16460))) )).
% 12.21/12.47 cnf(matrix-6876, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_Product__Type_OPair(_u16456, _u16457), _u16458), _u16459)), hAPP(c_List_Oset(tc_prod(_u16456, _u16457)), hAPP(hAPP(c_List_Ozip(_u16456, _u16457), _u16460), _u16461)))) | hBOOL(hAPP(hAPP(c_member(_u16457), _u16459), hAPP(c_List_Oset(_u16457), _u16461))) )).
% 12.21/12.47 cnf(matrix-6877, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16462)), _u16463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16465)) | ( hAPP(hAPP(c_Map_Omap__of(_u16462, _u16464), hAPP(hAPP(c_List_Ozip(_u16462, _u16464), _u16463), _u16465)), _u16466) != c_Option_Ooption_ONone(_u16464)) | ~hBOOL(hAPP(hAPP(c_member(_u16462), _u16466), hAPP(c_List_Oset(_u16462), _u16463))) )).
% 12.21/12.47 cnf(matrix-6878, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16462)), _u16463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16464)), _u16465)) | hBOOL(hAPP(hAPP(c_member(_u16462), _u16466), hAPP(c_List_Oset(_u16462), _u16463))) | ( hAPP(hAPP(c_Map_Omap__of(_u16462, _u16464), hAPP(hAPP(c_List_Ozip(_u16462, _u16464), _u16463), _u16465)), _u16466) = c_Option_Ooption_ONone(_u16464)) )).
% 12.21/12.47 cnf(matrix-6879, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16469)), _u16470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16471)), _u16472)) | ~hBOOL(hAPP(hAPP(c_member(_u16469), _u16473), hAPP(c_List_Oset(_u16469), _u16470))) | ( hAPP(hAPP(c_Map_Omap__of(_u16469, _u16471), hAPP(hAPP(c_List_Ozip(_u16469, _u16471), _u16470), _u16472)), _u16473) = hAPP(c_Option_Ooption_OSome(_u16471), skolem417(_u16473, _u16472, _u16471, _u16470, _u16469))) )).
% 12.21/12.47 cnf(matrix-6880, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16469)), _u16470) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16471)), _u16472)) | ( hAPP(hAPP(c_Map_Omap__of(_u16469, _u16471), hAPP(hAPP(c_List_Ozip(_u16469, _u16471), _u16470), _u16472)), _u16473) != hAPP(c_Option_Ooption_OSome(_u16471), _u16468)) | hBOOL(hAPP(hAPP(c_member(_u16469), _u16473), hAPP(c_List_Oset(_u16469), _u16470))) )).
% 12.21/12.47 cnf(matrix-6881, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16474, _u16475), _u16476), hAPP(hAPP(c_List_Omap(_u16477, _u16475), _u16478), _u16479)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16474, _u16477), tc_prod(_u16474, _u16475)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16474, _u16477, tc_prod(_u16474, _u16475)), hAPP(hAPP(c_COMBC(_u16474, tc_fun(_u16477, _u16475), tc_fun(_u16477, tc_prod(_u16474, _u16475))), hAPP(hAPP(c_COMBB(tc_fun(_u16475, tc_prod(_u16474, _u16475)), tc_fun(tc_fun(_u16477, _u16475), tc_fun(_u16477, tc_prod(_u16474, _u16475))), _u16474), c_COMBB(_u16475, tc_prod(_u16474, _u16475), _u16477)), c_Product__Type_OPair(_u16474, _u16475))), _u16478))), hAPP(hAPP(c_List_Ozip(_u16474, _u16477), _u16476), _u16479))) )).
% 12.21/12.47 cnf(matrix-6882, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16480, _u16481), hAPP(hAPP(c_List_Omap(_u16482, _u16480), _u16483), _u16484)), _u16485) = hAPP(hAPP(c_List_Omap(tc_prod(_u16482, _u16481), tc_prod(_u16480, _u16481)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16482, _u16481, tc_prod(_u16480, _u16481)), hAPP(hAPP(c_COMBB(_u16480, tc_fun(_u16481, tc_prod(_u16480, _u16481)), _u16482), c_Product__Type_OPair(_u16480, _u16481)), _u16483))), hAPP(hAPP(c_List_Ozip(_u16482, _u16481), _u16484), _u16485))) )).
% 12.21/12.47 cnf(matrix-6883, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16486, _u16487), hAPP(hAPP(c_List_Omap(_u16488, _u16486), _u16489), _u16490)), hAPP(hAPP(c_List_Omap(_u16491, _u16487), _u16492), _u16493)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16488, _u16491), tc_prod(_u16486, _u16487)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16488, _u16491, tc_prod(_u16486, _u16487)), hAPP(hAPP(c_COMBC(_u16488, tc_fun(_u16491, _u16487), tc_fun(_u16491, tc_prod(_u16486, _u16487))), hAPP(hAPP(c_COMBB(tc_fun(_u16487, tc_prod(_u16486, _u16487)), tc_fun(tc_fun(_u16491, _u16487), tc_fun(_u16491, tc_prod(_u16486, _u16487))), _u16488), c_COMBB(_u16487, tc_prod(_u16486, _u16487), _u16491)), hAPP(hAPP(c_COMBB(_u16486, tc_fun(_u16487, tc_prod(_u16486, _u16487)), _u16488), c_Product__Type_OPair(_u16486, _u16487)), _u16489))), _u16492))), hAPP(hAPP(c_List_Ozip(_u16488, _u16491), _u16490), _u16493))) )).
% 12.21/12.47 cnf(matrix-6884, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16494)), _u16495) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16496)), _u16497)) | ~hBOOL(hAPP(c_List_Odistinct(_u16494), _u16495)) | ( c_Map_Odom(_u16494, _u16496, hAPP(c_Map_Omap__of(_u16494, _u16496), hAPP(hAPP(c_List_Ozip(_u16494, _u16496), _u16495), _u16497))) = hAPP(c_List_Oset(_u16494), _u16495)) )).
% 12.21/12.47 cnf(matrix-6885, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16499) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16501)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16502) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16501)) | hBOOL(hAPP(hAPP(c_member(_u16500), _u16503), hAPP(c_List_Oset(_u16500), _u16501))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16500, tc_Option_Ooption(_u16498)), hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16499))), _u16503), hAPP(c_Option_Ooption_OSome(_u16498), _u16504)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16500, tc_Option_Ooption(_u16498)), hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16502))), _u16503), hAPP(c_Option_Ooption_OSome(_u16498), _u16505))) | ( hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16499)) = hAPP(c_Map_Omap__of(_u16500, _u16498), hAPP(hAPP(c_List_Ozip(_u16500, _u16498), _u16501), _u16502))) )).
% 12.21/12.47 cnf(matrix-6886, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16511), _u16513), hAPP(c_List_Oset(_u16511), _u16515))) | ( hAPP(hAPP(c_Map_Omap__of(_u16511, _u16517), hAPP(hAPP(c_List_Ozip(_u16511, _u16517), _u16515), hAPP(hAPP(c_List_Omap(_u16511, _u16517), _u16519), _u16515))), _u16513) = hAPP(c_Option_Ooption_OSome(_u16517), hAPP(_u16519, _u16513))) )).
% 12.21/12.47 cnf(matrix-6887, plain, ( hBOOL(hAPP(hAPP(c_member(_u16512), _u16514), hAPP(c_List_Oset(_u16512), _u16516))) | ( hAPP(hAPP(c_Map_Omap__of(_u16512, _u16518), hAPP(hAPP(c_List_Ozip(_u16512, _u16518), _u16516), hAPP(hAPP(c_List_Omap(_u16512, _u16518), _u16520), _u16516))), _u16514) = c_Option_Ooption_ONone(_u16518)) )).
% 12.21/12.47 cnf(matrix-6888, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), hAPP(hAPP(c_List_Olist_OCons(_u16523), _u16524), _u16525)), _u16526)), c_List_Olistrel(_u16523, _u16527))) | ( _u16526 = hAPP(hAPP(c_List_Olist_OCons(_u16523), skolem418(_u16527, _u16526, _u16525, _u16524, _u16523)), skolem419(_u16527, _u16526, _u16525, _u16524, _u16523))) )).
% 12.21/12.47 cnf(matrix-6889, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), hAPP(hAPP(c_List_Olist_OCons(_u16523), _u16524), _u16525)), _u16526)), c_List_Olistrel(_u16523, _u16527))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16523, _u16523)), hAPP(hAPP(c_Product__Type_OPair(_u16523, _u16523), _u16524), skolem418(_u16527, _u16526, _u16525, _u16524, _u16523))), _u16527)) )).
% 12.21/12.47 cnf(matrix-6890, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), hAPP(hAPP(c_List_Olist_OCons(_u16523), _u16524), _u16525)), _u16526)), c_List_Olistrel(_u16523, _u16527))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16523), tc_List_Olist(_u16523))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16523), tc_List_Olist(_u16523)), _u16525), skolem419(_u16527, _u16526, _u16525, _u16524, _u16523))), c_List_Olistrel(_u16523, _u16527))) )).
% 12.21/12.47 cnf(matrix-6891, plain, ( ~class_Enum_Oenum(_u16528) | ~class_Enum_Oenum(_u16529) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), _u16530) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), c_Enum_Oenum__class_Oenum(_u16528))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), _u16531) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), c_Enum_Oenum__class_Oenum(_u16528))) | ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u16529), _u16529, _u16528, c_Option_Othe(_u16529)), hAPP(c_Map_Omap__of(_u16528, _u16529), hAPP(hAPP(c_List_Ozip(_u16528, _u16529), c_Enum_Oenum__class_Oenum(_u16528)), _u16530))) != hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u16529), _u16529, _u16528, c_Option_Othe(_u16529)), hAPP(c_Map_Omap__of(_u16528, _u16529), hAPP(hAPP(c_List_Ozip(_u16528, _u16529), c_Enum_Oenum__class_Oenum(_u16528)), _u16531)))) | ( _u16530 = _u16531) )).
% 12.21/12.47 cnf(matrix-6892, plain, ( ~class_Enum_Oenum(_u16532) | ~class_Enum_Oenum(_u16533) | ( c_Enum_Oenum__class_Oenum(tc_prod(_u16532, _u16533)) = c_Enum_Oproduct(_u16532, _u16533, c_Enum_Oenum__class_Oenum(_u16532), c_Enum_Oenum__class_Oenum(_u16533))) )).
% 12.21/12.47 cnf(matrix-6893, plain, ( ~class_Enum_Oenum(_u16534) | hBOOL(hAPP(c_List_Odistinct(_u16534), c_Enum_Oenum__class_Oenum(_u16534))) )).
% 12.21/12.47 cnf(matrix-6894, plain, ( ~class_Enum_Oenum(_u16535) | ( c_Enum_Oenum__class_Oenum(tc_Option_Ooption(_u16535)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(_u16535)), c_Option_Ooption_ONone(_u16535)), hAPP(hAPP(c_List_Omap(_u16535, tc_Option_Ooption(_u16535)), c_Option_Ooption_OSome(_u16535)), c_Enum_Oenum__class_Oenum(_u16535)))) )).
% 12.21/12.47 cnf(matrix-6895, plain, ( ~class_Enum_Oenum(_u16536) | hBOOL(hAPP(hAPP(c_member(_u16536), _u16537), hAPP(c_List_Oset(_u16536), c_Enum_Oenum__class_Oenum(_u16536)))) )).
% 12.21/12.47 cnf(matrix-6896, plain, ( ~class_Enum_Oenum(_u16538) | ( c_Orderings_Otop__class_Otop(tc_fun(_u16538, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16538), c_Enum_Oenum__class_Oenum(_u16538))) )).
% 12.21/12.47 cnf(matrix-6897, plain, ( ~class_Enum_Oenum(_u16539) | ( hAPP(c_List_Oset(_u16539), c_Enum_Oenum__class_Oenum(_u16539)) = c_Orderings_Otop__class_Otop(tc_fun(_u16539, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6898, plain, ( ~class_Enum_Oenum(_u16540) | ~class_HOL_Oequal(_u16540) | ~class_Enum_Oenum(_u16541) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u16540, _u16541)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16541), tc_fun(_u16540, _u16541)), hAPP(hAPP(c_COMBB(tc_fun(_u16540, tc_Option_Ooption(_u16541)), tc_fun(_u16540, _u16541), tc_List_Olist(_u16541)), c_Fun_Ocomp(tc_Option_Ooption(_u16541), _u16541, _u16540, c_Option_Othe(_u16541))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16540, _u16541)), tc_fun(_u16540, tc_Option_Ooption(_u16541)), tc_List_Olist(_u16541)), c_Map_Omap__of(_u16540, _u16541)), hAPP(c_List_Ozip(_u16540, _u16541), c_Enum_Oenum__class_Oenum(_u16540))))), c_Enum_On__lists(_u16541, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16540)), c_Enum_Oenum__class_Oenum(_u16540)), c_Enum_Oenum__class_Oenum(_u16541)))) )).
% 12.21/12.47 cnf(matrix-6899, plain, ( ~class_Enum_Oenum(_u16542) | ~class_Enum_Oenum(_u16543) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u16542, _u16543)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16543), tc_fun(_u16542, _u16543)), hAPP(hAPP(c_COMBB(tc_fun(_u16542, tc_Option_Ooption(_u16543)), tc_fun(_u16542, _u16543), tc_List_Olist(_u16543)), c_Fun_Ocomp(tc_Option_Ooption(_u16543), _u16543, _u16542, c_Option_Othe(_u16543))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16542, _u16543)), tc_fun(_u16542, tc_Option_Ooption(_u16543)), tc_List_Olist(_u16543)), c_Map_Omap__of(_u16542, _u16543)), hAPP(c_List_Ozip(_u16542, _u16543), c_Enum_Oenum__class_Oenum(_u16542))))), c_Enum_On__lists(_u16543, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), c_Enum_Oenum__class_Oenum(_u16542)), c_Enum_Oenum__class_Oenum(_u16543)))) )).
% 12.21/12.47 cnf(matrix-6900, plain, ( ~class_Enum_Oenum(_u16544) | ~class_Enum_Oenum(_u16545) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16545, _u16544)), _u16546)) | c_Enum_Oex__n__lists(_u16544, hAPP(hAPP(c_COMBB(tc_fun(_u16545, _u16544), tc_HOL_Obool, tc_List_Olist(_u16544)), _u16546), hAPP(hAPP(c_COMBB(tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_fun(_u16545, _u16544), tc_List_Olist(_u16544)), c_Fun_Ocomp(tc_Option_Ooption(_u16544), _u16544, _u16545, c_Option_Othe(_u16544))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16545, _u16544)), tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_List_Olist(_u16544)), c_Map_Omap__of(_u16545, _u16544)), hAPP(c_List_Ozip(_u16545, _u16544), c_Enum_Oenum__class_Oenum(_u16545))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), c_Enum_Oenum__class_Oenum(_u16545))) )).
% 12.21/12.47 cnf(matrix-6901, plain, ( ~class_Enum_Oenum(_u16544) | ~class_Enum_Oenum(_u16545) | ~c_Enum_Oex__n__lists(_u16544, hAPP(hAPP(c_COMBB(tc_fun(_u16545, _u16544), tc_HOL_Obool, tc_List_Olist(_u16544)), _u16546), hAPP(hAPP(c_COMBB(tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_fun(_u16545, _u16544), tc_List_Olist(_u16544)), c_Fun_Ocomp(tc_Option_Ooption(_u16544), _u16544, _u16545, c_Option_Othe(_u16544))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16545, _u16544)), tc_fun(_u16545, tc_Option_Ooption(_u16544)), tc_List_Olist(_u16544)), c_Map_Omap__of(_u16545, _u16544)), hAPP(c_List_Ozip(_u16545, _u16544), c_Enum_Oenum__class_Oenum(_u16545))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16545)), c_Enum_Oenum__class_Oenum(_u16545))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16545, _u16544)), _u16546)) )).
% 12.21/12.47 cnf(matrix-6902, plain, ( ~class_Enum_Oenum(_u16547) | ~class_Enum_Oenum(_u16548) | ~class_HOL_Oequal(_u16548) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16548, _u16547)), _u16549)) | c_Enum_Oex__n__lists(_u16547, hAPP(hAPP(c_COMBB(tc_fun(_u16548, _u16547), tc_HOL_Obool, tc_List_Olist(_u16547)), _u16549), hAPP(hAPP(c_COMBB(tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_fun(_u16548, _u16547), tc_List_Olist(_u16547)), c_Fun_Ocomp(tc_Option_Ooption(_u16547), _u16547, _u16548, c_Option_Othe(_u16547))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16548, _u16547)), tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_List_Olist(_u16547)), c_Map_Omap__of(_u16548, _u16547)), hAPP(c_List_Ozip(_u16548, _u16547), c_Enum_Oenum__class_Oenum(_u16548))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16548)), c_Enum_Oenum__class_Oenum(_u16548))) )).
% 12.21/12.47 cnf(matrix-6903, plain, ( ~class_Enum_Oenum(_u16547) | ~class_Enum_Oenum(_u16548) | ~class_HOL_Oequal(_u16548) | ~c_Enum_Oex__n__lists(_u16547, hAPP(hAPP(c_COMBB(tc_fun(_u16548, _u16547), tc_HOL_Obool, tc_List_Olist(_u16547)), _u16549), hAPP(hAPP(c_COMBB(tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_fun(_u16548, _u16547), tc_List_Olist(_u16547)), c_Fun_Ocomp(tc_Option_Ooption(_u16547), _u16547, _u16548, c_Option_Othe(_u16547))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16548, _u16547)), tc_fun(_u16548, tc_Option_Ooption(_u16547)), tc_List_Olist(_u16547)), c_Map_Omap__of(_u16548, _u16547)), hAPP(c_List_Ozip(_u16548, _u16547), c_Enum_Oenum__class_Oenum(_u16548))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16548)), c_Enum_Oenum__class_Oenum(_u16548))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u16548, _u16547)), _u16549)) )).
% 12.21/12.47 cnf(matrix-6904, plain, ( ~class_Enum_Oenum(_u16552) | ~c_Enum_Oex__n__lists(_u16552, _u16553, _u16554) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16552)), skolem420(_u16554, _u16553, _u16552)), hAPP(c_List_Oset(tc_List_Olist(_u16552)), c_Enum_On__lists(_u16552, _u16554, c_Enum_Oenum__class_Oenum(_u16552))))) )).
% 12.21/12.47 cnf(matrix-6905, plain, ( ~class_Enum_Oenum(_u16552) | ~c_Enum_Oex__n__lists(_u16552, _u16553, _u16554) | hBOOL(hAPP(_u16553, skolem420(_u16554, _u16553, _u16552))) )).
% 12.21/12.47 cnf(matrix-6906, plain, ( ~class_Enum_Oenum(_u16552) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16552)), _u16551), hAPP(c_List_Oset(tc_List_Olist(_u16552)), c_Enum_On__lists(_u16552, _u16554, c_Enum_Oenum__class_Oenum(_u16552))))) | ~hBOOL(hAPP(_u16553, _u16551)) | c_Enum_Oex__n__lists(_u16552, _u16553, _u16554) )).
% 12.21/12.47 cnf(matrix-6907, plain, ( ~class_Enum_Oenum(_u16555) | ~class_Enum_Oenum(_u16556) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16556, _u16555)), _u16557)) | c_Enum_Oall__n__lists(_u16555, hAPP(hAPP(c_COMBB(tc_fun(_u16556, _u16555), tc_HOL_Obool, tc_List_Olist(_u16555)), _u16557), hAPP(hAPP(c_COMBB(tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_fun(_u16556, _u16555), tc_List_Olist(_u16555)), c_Fun_Ocomp(tc_Option_Ooption(_u16555), _u16555, _u16556, c_Option_Othe(_u16555))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16556, _u16555)), tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_List_Olist(_u16555)), c_Map_Omap__of(_u16556, _u16555)), hAPP(c_List_Ozip(_u16556, _u16555), c_Enum_Oenum__class_Oenum(_u16556))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16556)), c_Enum_Oenum__class_Oenum(_u16556))) )).
% 12.21/12.47 cnf(matrix-6908, plain, ( ~class_Enum_Oenum(_u16555) | ~class_Enum_Oenum(_u16556) | ~c_Enum_Oall__n__lists(_u16555, hAPP(hAPP(c_COMBB(tc_fun(_u16556, _u16555), tc_HOL_Obool, tc_List_Olist(_u16555)), _u16557), hAPP(hAPP(c_COMBB(tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_fun(_u16556, _u16555), tc_List_Olist(_u16555)), c_Fun_Ocomp(tc_Option_Ooption(_u16555), _u16555, _u16556, c_Option_Othe(_u16555))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16556, _u16555)), tc_fun(_u16556, tc_Option_Ooption(_u16555)), tc_List_Olist(_u16555)), c_Map_Omap__of(_u16556, _u16555)), hAPP(c_List_Ozip(_u16556, _u16555), c_Enum_Oenum__class_Oenum(_u16556))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16556)), c_Enum_Oenum__class_Oenum(_u16556))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16556, _u16555)), _u16557)) )).
% 12.21/12.47 cnf(matrix-6909, plain, ( ~class_Enum_Oenum(_u16558) | ~class_Enum_Oenum(_u16559) | ~class_HOL_Oequal(_u16559) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16559, _u16558)), _u16560)) | c_Enum_Oall__n__lists(_u16558, hAPP(hAPP(c_COMBB(tc_fun(_u16559, _u16558), tc_HOL_Obool, tc_List_Olist(_u16558)), _u16560), hAPP(hAPP(c_COMBB(tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_fun(_u16559, _u16558), tc_List_Olist(_u16558)), c_Fun_Ocomp(tc_Option_Ooption(_u16558), _u16558, _u16559, c_Option_Othe(_u16558))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16559, _u16558)), tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_List_Olist(_u16558)), c_Map_Omap__of(_u16559, _u16558)), hAPP(c_List_Ozip(_u16559, _u16558), c_Enum_Oenum__class_Oenum(_u16559))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16559)), c_Enum_Oenum__class_Oenum(_u16559))) )).
% 12.21/12.47 cnf(matrix-6910, plain, ( ~class_Enum_Oenum(_u16558) | ~class_Enum_Oenum(_u16559) | ~class_HOL_Oequal(_u16559) | ~c_Enum_Oall__n__lists(_u16558, hAPP(hAPP(c_COMBB(tc_fun(_u16559, _u16558), tc_HOL_Obool, tc_List_Olist(_u16558)), _u16560), hAPP(hAPP(c_COMBB(tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_fun(_u16559, _u16558), tc_List_Olist(_u16558)), c_Fun_Ocomp(tc_Option_Ooption(_u16558), _u16558, _u16559, c_Option_Othe(_u16558))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u16559, _u16558)), tc_fun(_u16559, tc_Option_Ooption(_u16558)), tc_List_Olist(_u16558)), c_Map_Omap__of(_u16559, _u16558)), hAPP(c_List_Ozip(_u16559, _u16558), c_Enum_Oenum__class_Oenum(_u16559))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16559)), c_Enum_Oenum__class_Oenum(_u16559))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u16559, _u16558)), _u16560)) )).
% 12.21/12.47 cnf(matrix-6911, plain, ( ~class_Enum_Oenum(_u16563) | ~c_Enum_Oall__n__lists(_u16563, _u16564, _u16565) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16563)), _u16561), hAPP(c_List_Oset(tc_List_Olist(_u16563)), c_Enum_On__lists(_u16563, _u16565, c_Enum_Oenum__class_Oenum(_u16563))))) | hBOOL(hAPP(_u16564, _u16561)) )).
% 12.21/12.47 cnf(matrix-6912, plain, ( ~class_Enum_Oenum(_u16563) | c_Enum_Oall__n__lists(_u16563, _u16564, _u16565) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16563)), skolem421(_u16565, _u16564, _u16563)), hAPP(c_List_Oset(tc_List_Olist(_u16563)), c_Enum_On__lists(_u16563, _u16565, c_Enum_Oenum__class_Oenum(_u16563))))) )).
% 12.21/12.47 cnf(matrix-6913, plain, ( ~class_Enum_Oenum(_u16563) | c_Enum_Oall__n__lists(_u16563, _u16564, _u16565) | ~hBOOL(hAPP(_u16564, skolem421(_u16565, _u16564, _u16563))) )).
% 12.21/12.47 cnf(matrix-6914, plain, ( ( hAPP(c_List_Oset(tc_prod(_u16566, _u16567)), hAPP(hAPP(c_List_Ozip(_u16566, _u16567), _u16568), _u16569)) = hAPP(c_Set_OCollect(tc_prod(_u16566, _u16567)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u16566, _u16567)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u16566, _u16567), 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(_u16566, _u16567)), 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(_u16566, _u16567)), 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(_u16566, _u16567), tc_fun(tc_Nat_Onat, tc_prod(_u16566, _u16567)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16566, _u16567), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u16566, _u16567)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u16566, _u16567)), c_COMBB(tc_prod(_u16566, _u16567), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u16567, tc_prod(_u16566, _u16567)), hAPP(hAPP(c_COMBB(_u16566, tc_fun(_u16567, tc_prod(_u16566, _u16567)), tc_Nat_Onat), c_Product__Type_OPair(_u16566, _u16567)), hAPP(c_List_Onth(_u16566), _u16568))), hAPP(c_List_Onth(_u16567), _u16569)))))), 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(_u16566)), _u16568)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16567)), _u16569))))))) )).
% 12.21/12.47 cnf(matrix-6915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16570, _u16570), tc_HOL_Obool)), _u16571), hAPP(hAPP(c_Product__Type_OSigma(_u16570, _u16570), _u16572), hAPP(c_COMBK(tc_fun(_u16570, tc_HOL_Obool), _u16570), _u16572)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u16570), tc_List_Olist(_u16570)), tc_HOL_Obool)), c_List_Olistrel(_u16570, _u16571)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u16570), tc_List_Olist(_u16570)), c_List_Olists(_u16570, _u16572)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16570), tc_HOL_Obool), tc_List_Olist(_u16570)), c_List_Olists(_u16570, _u16572))))) )).
% 12.21/12.47 cnf(matrix-6916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16573), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16574)), _u16575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16573), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16576)), _u16577))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u16574, _u16576)), hAPP(hAPP(c_List_Ozip(_u16574, _u16576), _u16575), _u16577)), _u16573) = hAPP(hAPP(c_Product__Type_OPair(_u16574, _u16576), hAPP(hAPP(c_List_Onth(_u16574), _u16575), _u16573)), hAPP(hAPP(c_List_Onth(_u16576), _u16577), _u16573))) )).
% 12.21/12.47 cnf(matrix-6917, plain, ( ( _u16583 != _u16585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16587)), _u16583) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16587)), _u16585)) )).
% 12.21/12.47 cnf(matrix-6918, plain, ( ( _u16583 != _u16585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16578), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16587)), _u16583))) | ( hAPP(hAPP(c_List_Onth(_u16587), _u16583), _u16578) = hAPP(hAPP(c_List_Onth(_u16587), _u16585), _u16578)) )).
% 12.21/12.47 cnf(matrix-6919, plain, ( ( _u16584 = _u16586) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16584) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem422(_u16588, _u16586, _u16584)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16584))) )).
% 12.21/12.47 cnf(matrix-6920, plain, ( ( _u16584 = _u16586) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16584) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16586)) | ( hAPP(hAPP(c_List_Onth(_u16588), _u16584), skolem422(_u16588, _u16586, _u16584)) != hAPP(hAPP(c_List_Onth(_u16588), _u16586), skolem422(_u16588, _u16586, _u16584))) )).
% 12.21/12.47 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16589, tc_HOL_Obool)), _u16590), _u16591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u16589), tc_HOL_Obool)), c_List_Olists(_u16589, _u16590)), c_List_Olists(_u16589, _u16591))) )).
% 12.21/12.47 cnf(matrix-6922, plain, ( ( hAPP(hAPP(c_List_Onth(_u16592), hAPP(hAPP(c_List_Olist_OCons(_u16592), _u16593), _u16594)), _u16595) = c_Nat_Onat_Onat__case(_u16592, _u16593, hAPP(c_List_Onth(_u16592), _u16594), _u16595)) )).
% 12.21/12.47 cnf(matrix-6923, plain, ( ( hAPP(hAPP(c_List_Onth(_u16596), hAPP(hAPP(c_List_Olist_OCons(_u16596), _u16597), _u16598)), hAPP(c_Nat_OSuc, _u16599)) = hAPP(hAPP(c_List_Onth(_u16596), _u16598), _u16599)) )).
% 12.21/12.47 cnf(matrix-6924, plain, ( ( hAPP(hAPP(c_List_Onth(_u16600), hAPP(hAPP(c_List_Olist_OCons(_u16600), _u16601), _u16602)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u16601) )).
% 12.21/12.47 cnf(matrix-6925, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16610)), _u16612))) | hBOOL(hAPP(_u16614, hAPP(hAPP(c_List_Onth(_u16610), _u16612), _u16604))) | hBOOL(hAPP(hAPP(c_member(_u16610), skolem423(_u16614, _u16612, _u16610)), hAPP(c_List_Oset(_u16610), _u16612))) )).
% 12.21/12.47 cnf(matrix-6926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16604), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16610)), _u16612))) | hBOOL(hAPP(_u16614, hAPP(hAPP(c_List_Onth(_u16610), _u16612), _u16604))) | ~hBOOL(hAPP(_u16614, skolem423(_u16614, _u16612, _u16610))) )).
% 12.21/12.47 cnf(matrix-6927, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16611), _u16606), hAPP(c_List_Oset(_u16611), _u16613))) | hBOOL(hAPP(_u16615, _u16606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem424(_u16615, _u16613, _u16611)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16611)), _u16613))) )).
% 12.21/12.47 cnf(matrix-6928, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16611), _u16606), hAPP(c_List_Oset(_u16611), _u16613))) | hBOOL(hAPP(_u16615, _u16606)) | ~hBOOL(hAPP(_u16615, hAPP(hAPP(c_List_Onth(_u16611), _u16613), skolem424(_u16615, _u16613, _u16611)))) )).
% 12.21/12.47 cnf(matrix-6929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16617)), _u16618))) | ( hAPP(hAPP(c_List_Onth(_u16619), hAPP(hAPP(c_List_Omap(_u16617, _u16619), _u16620), _u16618)), _u16616) = hAPP(_u16620, hAPP(hAPP(c_List_Onth(_u16617), _u16618), _u16616))) )).
% 12.21/12.47 cnf(matrix-6930, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16627), _u16629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16622), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16627)), _u16629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16627)), _u16629))) | ( _u16622 = _u16621) | ( hAPP(hAPP(c_List_Onth(_u16627), _u16629), _u16622) != hAPP(hAPP(c_List_Onth(_u16627), _u16629), _u16621)) )).
% 12.21/12.47 cnf(matrix-6931, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem425(_u16630, _u16628)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16628)), _u16630))) )).
% 12.21/12.47 cnf(matrix-6932, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem426(_u16630, _u16628)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16628)), _u16630))) )).
% 12.21/12.47 cnf(matrix-6933, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | ( skolem425(_u16630, _u16628) != skolem426(_u16630, _u16628)) )).
% 12.21/12.47 cnf(matrix-6934, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16628), _u16630)) | ( hAPP(hAPP(c_List_Onth(_u16628), _u16630), skolem425(_u16630, _u16628)) = hAPP(hAPP(c_List_Onth(_u16628), _u16630), skolem426(_u16630, _u16628))) )).
% 12.21/12.47 cnf(matrix-6935, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16631), _u16632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16634), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ( hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16633) != hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16634)) | ( _u16633 = _u16634) )).
% 12.21/12.47 cnf(matrix-6936, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16631), _u16632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16633), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16634), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16631)), _u16632))) | ( _u16633 != _u16634) | ( hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16633) = hAPP(hAPP(c_List_Onth(_u16631), _u16632), _u16634)) )).
% 12.21/12.47 cnf(matrix-6937, plain, ( ( c_List_Olists(_u16635, c_Orderings_Otop__class_Otop(tc_fun(_u16635, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16635), tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-6938, plain, ( ~c_Equiv__Relations_Oequiv(_u16636, _u16637, _u16638) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u16636), c_List_Olists(_u16636, _u16637), c_List_Olistrel(_u16636, _u16638)) )).
% 12.21/12.47 cnf(matrix-6939, plain, ( ~c_Relation_Orefl__on(_u16639, _u16640, _u16641) | c_Relation_Orefl__on(tc_List_Olist(_u16639), c_List_Olists(_u16639, _u16640), c_List_Olistrel(_u16639, _u16641)) )).
% 12.21/12.47 cnf(matrix-6940, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16642), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16643), _u16642)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16643))) )).
% 12.21/12.47 cnf(matrix-6941, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16649), _u16651), hAPP(c_List_Oset(_u16649), _u16653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem427(_u16653, _u16651, _u16649)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16649)), _u16653))) )).
% 12.21/12.47 cnf(matrix-6942, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16649), _u16651), hAPP(c_List_Oset(_u16649), _u16653))) | ( hAPP(hAPP(c_List_Onth(_u16649), _u16653), skolem427(_u16653, _u16651, _u16649)) = _u16651) )).
% 12.21/12.47 cnf(matrix-6943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16645), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16650)), _u16654))) | ( hAPP(hAPP(c_List_Onth(_u16650), _u16654), _u16645) != _u16652) | hBOOL(hAPP(hAPP(c_member(_u16650), _u16652), hAPP(c_List_Oset(_u16650), _u16654))) )).
% 12.21/12.47 cnf(matrix-6944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16655), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16656)), _u16657))) | hBOOL(hAPP(hAPP(c_member(_u16656), hAPP(hAPP(c_List_Onth(_u16656), _u16657), _u16655)), hAPP(c_List_Oset(_u16656), _u16657))) )).
% 12.21/12.47 cnf(matrix-6945, plain, ( ( _u16662 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16664), hAPP(hAPP(c_List_Olist_OCons(_u16664), _u16666), _u16668)), _u16662) = _u16666) )).
% 12.21/12.47 cnf(matrix-6946, plain, ( ( _u16663 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16665), hAPP(hAPP(c_List_Olist_OCons(_u16665), _u16667), _u16669)), _u16663) = hAPP(hAPP(c_List_Onth(_u16665), _u16669), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16663), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6947, plain, ( ( hAPP(c_List_Oset(_u16670), _u16671) = hAPP(c_Set_OCollect(_u16670), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u16670), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u16670, 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)), _u16670), 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)), _u16670), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u16670, tc_fun(tc_Nat_Onat, _u16670), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16670, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u16670), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u16670), c_COMBB(_u16670, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u16670), _u16671))))), 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(_u16670)), _u16671)))))) )).
% 12.21/12.47 cnf(matrix-6948, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16676)), hAPP(hAPP(c_List_Olist_OCons(_u16676), _u16678), _u16680)), c_List_Olists(_u16676, _u16682))) | hBOOL(hAPP(hAPP(c_member(_u16676), _u16678), _u16682)) )).
% 12.21/12.47 cnf(matrix-6949, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16676)), hAPP(hAPP(c_List_Olist_OCons(_u16676), _u16678), _u16680)), c_List_Olists(_u16676, _u16682))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16676)), _u16680), c_List_Olists(_u16676, _u16682))) )).
% 12.21/12.47 cnf(matrix-6950, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16677), _u16679), _u16683)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16677)), _u16681), c_List_Olists(_u16677, _u16683))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16679), _u16681)), c_List_Olists(_u16677, _u16683))) )).
% 12.21/12.47 cnf(matrix-6951, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16689)), _u16691), c_List_Olists(_u16689, _u16693))) | ~hBOOL(hAPP(hAPP(c_member(_u16689), _u16684), hAPP(c_List_Oset(_u16689), _u16691))) | hBOOL(hAPP(hAPP(c_member(_u16689), _u16684), _u16693)) )).
% 12.21/12.47 cnf(matrix-6952, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16690)), _u16692), c_List_Olists(_u16690, _u16694))) | hBOOL(hAPP(hAPP(c_member(_u16690), skolem428(_u16694, _u16692, _u16690)), hAPP(c_List_Oset(_u16690), _u16692))) )).
% 12.21/12.47 cnf(matrix-6953, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16690)), _u16692), c_List_Olists(_u16690, _u16694))) | ~hBOOL(hAPP(hAPP(c_member(_u16690), skolem428(_u16694, _u16692, _u16690)), _u16694)) )).
% 12.21/12.47 cnf(matrix-6954, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16699) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16701), hAPP(hAPP(c_List_Olist_OCons(_u16701), _u16703), _u16705)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16699)) = _u16703) )).
% 12.21/12.47 cnf(matrix-6955, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16700) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u16702), hAPP(hAPP(c_List_Olist_OCons(_u16702), _u16704), _u16706)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16700)) = hAPP(hAPP(c_List_Onth(_u16702), _u16706), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16700)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-6956, plain, ( ( c_List_Olists(_u16707, _u16708) = hAPP(c_Set_OCollect(tc_List_Olist(_u16707)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16707), tc_fun(_u16707, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16707, tc_HOL_Obool), tc_fun(tc_fun(_u16707, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16707)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16707, tc_HOL_Obool))), c_List_Oset(_u16707))), _u16708))) )).
% 12.21/12.47 cnf(matrix-6957, plain, ( ~class_Groups_Ocomm__monoid__add(_u16709) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16709), _u16710) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16709), hAPP(c_List_Onth(_u16709), _u16710)), 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(_u16709)), _u16710)))) )).
% 12.21/12.47 cnf(matrix-6958, plain, ( ( hAPP(c_List_Oset(_u16711), c_List_Osublist(_u16711, _u16712, _u16713)) = hAPP(c_Set_OCollect(_u16711), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u16711), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u16711, 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)), _u16711), 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)), _u16711), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u16711, tc_fun(tc_Nat_Onat, _u16711), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16711, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u16711), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u16711), c_COMBB(_u16711, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u16711), _u16712))))), 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(_u16711)), _u16712)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u16713)))))) )).
% 12.21/12.47 cnf(matrix-6959, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16720), tc_List_Olist(_u16720))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16720), tc_List_Olist(_u16720)), _u16722), _u16724)), c_List_Olistrel(_u16720, _u16726))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16720)), _u16722) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16720)), _u16724)) )).
% 12.21/12.47 cnf(matrix-6960, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16720), tc_List_Olist(_u16720))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16720), tc_List_Olist(_u16720)), _u16722), _u16724)), c_List_Olistrel(_u16720, _u16726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16714), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16720)), _u16722))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16720, _u16720)), hAPP(hAPP(c_Product__Type_OPair(_u16720, _u16720), hAPP(hAPP(c_List_Onth(_u16720), _u16722), _u16714)), hAPP(hAPP(c_List_Onth(_u16720), _u16724), _u16714))), _u16726)) )).
% 12.21/12.47 cnf(matrix-6961, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16721), tc_List_Olist(_u16721))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16721), tc_List_Olist(_u16721)), _u16723), _u16725)), c_List_Olistrel(_u16721, _u16727))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16723) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem429(_u16727, _u16725, _u16723, _u16721)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16723))) )).
% 12.21/12.47 cnf(matrix-6962, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16721), tc_List_Olist(_u16721))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16721), tc_List_Olist(_u16721)), _u16723), _u16725)), c_List_Olistrel(_u16721, _u16727))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16723) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16721)), _u16725)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16721, _u16721)), hAPP(hAPP(c_Product__Type_OPair(_u16721, _u16721), hAPP(hAPP(c_List_Onth(_u16721), _u16723), skolem429(_u16727, _u16725, _u16723, _u16721))), hAPP(hAPP(c_List_Onth(_u16721), _u16725), skolem429(_u16727, _u16725, _u16723, _u16721)))), _u16727)) )).
% 12.21/12.47 cnf(matrix-6963, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16728)), _u16729), c_List_Olists(_u16728, c_Wellfounded_Oacc(_u16728, _u16730)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16728)), _u16729), c_Wellfounded_Oacc(tc_List_Olist(_u16728), c_List_Olistrel1(_u16728, _u16730)))) )).
% 12.21/12.47 cnf(matrix-6964, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16731)), _u16732), c_Wellfounded_Oacc(tc_List_Olist(_u16731), c_List_Olistrel1(_u16731, _u16733)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16731)), _u16732), c_List_Olists(_u16731, c_Wellfounded_Oacc(_u16731, _u16733)))) )).
% 12.21/12.47 cnf(matrix-6965, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u16746, _u16744, _u16742, _u16740)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744)))) )).
% 12.21/12.47 cnf(matrix-6966, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744))) | ( hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16742) = hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16744)) )).
% 12.21/12.47 cnf(matrix-6967, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16740, _u16740)), hAPP(hAPP(c_Product__Type_OPair(_u16740, _u16740), hAPP(hAPP(c_List_Onth(_u16740), _u16742), skolem430(_u16746, _u16744, _u16742, _u16740))), hAPP(hAPP(c_List_Onth(_u16740), _u16744), skolem430(_u16746, _u16744, _u16742, _u16740)))), _u16746)) )).
% 12.21/12.47 cnf(matrix-6968, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | ( hAPP(hAPP(c_List_Otake(_u16740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), _u16744) = _u16742) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u16746, _u16744, _u16742, _u16740)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16744)))) )).
% 12.21/12.47 cnf(matrix-6969, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | ( hAPP(hAPP(c_List_Otake(_u16740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), _u16744) = _u16742) | ( hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16742) = hAPP(hAPP(c_List_Otake(_u16740), skolem430(_u16746, _u16744, _u16742, _u16740)), _u16744)) )).
% 12.21/12.47 cnf(matrix-6970, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16740), tc_List_Olist(_u16740))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16740), tc_List_Olist(_u16740)), _u16742), _u16744)), c_List_Olexord(_u16740, _u16746))) | ( hAPP(hAPP(c_List_Otake(_u16740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16740)), _u16742)), _u16744) = _u16742) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16740, _u16740)), hAPP(hAPP(c_Product__Type_OPair(_u16740, _u16740), hAPP(hAPP(c_List_Onth(_u16740), _u16742), skolem430(_u16746, _u16744, _u16742, _u16740))), hAPP(hAPP(c_List_Onth(_u16740), _u16744), skolem430(_u16746, _u16744, _u16742, _u16740)))), _u16746)) )).
% 12.21/12.47 cnf(matrix-6971, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16741), tc_List_Olist(_u16741))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16741), tc_List_Olist(_u16741)), _u16743), _u16745)), c_List_Olexord(_u16741, _u16747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16743)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16745))) | ( hAPP(hAPP(c_List_Otake(_u16741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16743)), _u16745) != _u16743) )).
% 12.21/12.47 cnf(matrix-6972, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16741), tc_List_Olist(_u16741))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16741), tc_List_Olist(_u16741)), _u16743), _u16745)), c_List_Olexord(_u16741, _u16747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16735), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16743)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16745)))) | ( hAPP(hAPP(c_List_Otake(_u16741), _u16735), _u16743) != hAPP(hAPP(c_List_Otake(_u16741), _u16735), _u16745)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16741, _u16741)), hAPP(hAPP(c_Product__Type_OPair(_u16741, _u16741), hAPP(hAPP(c_List_Onth(_u16741), _u16743), _u16735)), hAPP(hAPP(c_List_Onth(_u16741), _u16745), _u16735))), _u16747)) )).
% 12.21/12.47 cnf(matrix-6973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16749)), _u16750))) | ( hAPP(c_Random_Opick(_u16749, hAPP(hAPP(c_List_Omap(_u16749, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16749)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16749), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16750)), hAPP(c_Code__Numeral_Oof__nat, _u16748)) = hAPP(hAPP(c_List_Onth(_u16749), _u16750), _u16748)) )).
% 12.21/12.47 cnf(matrix-6974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16751), _u16752)) | ( hAPP(hAPP(c_List_Onth(_u16753), hAPP(hAPP(c_List_Otake(_u16753), _u16752), _u16754)), _u16751) = hAPP(hAPP(c_List_Onth(_u16753), _u16754), _u16751)) )).
% 12.21/12.47 cnf(matrix-6975, plain, ( ( hAPP(hAPP(c_List_Otake(_u16755), _u16756), hAPP(hAPP(c_List_Omap(_u16757, _u16755), _u16758), _u16759)) = hAPP(hAPP(c_List_Omap(_u16757, _u16755), _u16758), hAPP(hAPP(c_List_Otake(_u16757), _u16756), _u16759))) )).
% 12.21/12.47 cnf(matrix-6976, plain, ( ( hAPP(hAPP(c_List_Otake(_u16760), hAPP(c_Nat_OSuc, _u16761)), hAPP(hAPP(c_List_Olist_OCons(_u16760), _u16762), _u16763)) = hAPP(hAPP(c_List_Olist_OCons(_u16760), _u16762), hAPP(hAPP(c_List_Otake(_u16760), _u16761), _u16763))) )).
% 12.21/12.47 cnf(matrix-6977, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u16764, _u16765)), _u16766), hAPP(hAPP(c_List_Ozip(_u16764, _u16765), _u16767), _u16768)) = hAPP(hAPP(c_List_Ozip(_u16764, _u16765), hAPP(hAPP(c_List_Otake(_u16764), _u16766), _u16767)), hAPP(hAPP(c_List_Otake(_u16765), _u16766), _u16768))) )).
% 12.21/12.47 cnf(matrix-6978, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16769), _u16770), hAPP(c_List_Oset(_u16769), hAPP(hAPP(c_List_Otake(_u16769), _u16771), _u16772)))) | hBOOL(hAPP(hAPP(c_member(_u16769), _u16770), hAPP(c_List_Oset(_u16769), _u16772))) )).
% 12.21/12.47 cnf(matrix-6979, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16773, tc_HOL_Obool)), hAPP(c_List_Oset(_u16773), hAPP(hAPP(c_List_Otake(_u16773), _u16774), _u16775))), hAPP(c_List_Oset(_u16773), _u16775))) )).
% 12.21/12.47 cnf(matrix-6980, plain, ( ( c_List_Osublist(_u16776, _u16777, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u16778)) = hAPP(hAPP(c_List_Otake(_u16776), _u16778), _u16777)) )).
% 12.21/12.47 cnf(matrix-6981, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.47 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16779)), hAPP(c_Code__Numeral_Oof__nat, _u16780)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16779), _u16780))) )).
% 12.21/12.47 cnf(matrix-6983, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u16783) != hAPP(c_Code__Numeral_Oof__nat, _u16785)) | ( _u16783 = _u16785) )).
% 12.21/12.47 cnf(matrix-6984, plain, ( ( _u16784 != _u16786) | ( hAPP(c_Code__Numeral_Oof__nat, _u16784) = hAPP(c_Code__Numeral_Oof__nat, _u16786)) )).
% 12.21/12.47 cnf(matrix-6985, plain, ( ( hAPP(hAPP(c_List_Otake(_u16787), _u16788), hAPP(hAPP(c_List_Otake(_u16787), _u16789), _u16790)) = hAPP(hAPP(c_List_Otake(_u16787), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u16788), _u16789)), _u16790)) )).
% 12.21/12.47 cnf(matrix-6986, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-6987, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16791), _u16792)) | hBOOL(hAPP(c_List_Odistinct(_u16791), hAPP(hAPP(c_List_Otake(_u16791), _u16793), _u16792))) )).
% 12.21/12.47 cnf(matrix-6988, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16794)), hAPP(hAPP(c_List_Otake(_u16794), _u16795), _u16796)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16794)), _u16796)), _u16795)) )).
% 12.21/12.47 cnf(matrix-6989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16797)), _u16798)), _u16799)) | ( hAPP(hAPP(c_List_Otake(_u16797), _u16799), _u16798) = _u16798) )).
% 12.21/12.47 cnf(matrix-6990, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-6991, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16802)), hAPP(c_Code__Numeral_Oof__nat, _u16804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16802), _u16804)) )).
% 12.21/12.47 cnf(matrix-6992, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16803), _u16805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16803)), hAPP(c_Code__Numeral_Oof__nat, _u16805))) )).
% 12.21/12.47 cnf(matrix-6993, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16806), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16807), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u16806) != hAPP(c_Code__Numeral_Oof__nat, _u16807)) | ( _u16806 = _u16807) )).
% 12.21/12.47 cnf(matrix-6994, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16806), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16807), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u16806 != _u16807) | ( hAPP(c_Code__Numeral_Oof__nat, _u16806) = hAPP(c_Code__Numeral_Oof__nat, _u16807)) )).
% 12.21/12.47 cnf(matrix-6995, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.21/12.47 cnf(matrix-6996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16808), _u16809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16810, tc_HOL_Obool)), hAPP(c_List_Oset(_u16810), hAPP(hAPP(c_List_Otake(_u16810), _u16808), _u16811))), hAPP(c_List_Oset(_u16810), hAPP(hAPP(c_List_Otake(_u16810), _u16809), _u16811)))) )).
% 12.21/12.47 cnf(matrix-6997, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16812)), hAPP(c_Code__Numeral_Oof__nat, _u16813)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16812), _u16813))) )).
% 12.21/12.47 cnf(matrix-6998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16816)), hAPP(c_Code__Numeral_Oof__nat, _u16818))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16816), _u16818)) )).
% 12.21/12.47 cnf(matrix-6999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16817), _u16819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16817)), hAPP(c_Code__Numeral_Oof__nat, _u16819))) )).
% 12.21/12.47 cnf(matrix-7000, plain, ( ( _u16821 = 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)), _u16821)) )).
% 12.21/12.47 cnf(matrix-7001, 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)), _u16822)) | ( _u16822 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16823), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16824))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u16824), _u16823), _u16825)) = 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), _u16824)), _u16825)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16824), _u16823))) )).
% 12.21/12.47 cnf(matrix-7003, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16826), _u16827)) | hBOOL(hAPP(hAPP(c_member(_u16826), _u16828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16826, tc_HOL_Obool)), hAPP(c_List_Oset(_u16826), _u16827)), hAPP(hAPP(c_Set_Oinsert(_u16826), hAPP(hAPP(c_List_Onth(_u16826), _u16827), _u16829)), c_Orderings_Obot__class_Obot(tc_fun(_u16826, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u16826), hAPP(hAPP(c_List_Olist__update(_u16826, _u16827), _u16829), _u16828))) )).
% 12.21/12.47 cnf(matrix-7004, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16830, _u16831), _u16832), hAPP(hAPP(c_List_Onth(_u16830), _u16831), _u16832)) = _u16831) )).
% 12.21/12.47 cnf(matrix-7005, plain, ( ( _u16833 = _u16834) | ( hAPP(hAPP(c_List_Onth(_u16835), hAPP(hAPP(c_List_Olist__update(_u16835, _u16836), _u16833), _u16837)), _u16834) = hAPP(hAPP(c_List_Onth(_u16835), _u16836), _u16834)) )).
% 12.21/12.47 cnf(matrix-7006, plain, ( ( hAPP(hAPP(c_List_Omap(_u16838, _u16839), _u16840), hAPP(hAPP(c_List_Olist__update(_u16838, _u16841), _u16842), _u16843)) = hAPP(hAPP(c_List_Olist__update(_u16839, hAPP(hAPP(c_List_Omap(_u16838, _u16839), _u16840), _u16841)), _u16842), hAPP(_u16840, _u16843))) )).
% 12.21/12.47 cnf(matrix-7007, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16844)), hAPP(hAPP(c_List_Olist__update(_u16844, _u16845), _u16846), _u16847)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16844)), _u16845)) )).
% 12.21/12.47 cnf(matrix-7008, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16848)), _u16849)), _u16850)) | ( hAPP(hAPP(c_List_Olist__update(_u16848, _u16849), _u16850), _u16851) = _u16849) )).
% 12.21/12.47 cnf(matrix-7009, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16852, hAPP(hAPP(c_List_Olist__update(_u16852, _u16853), _u16854), _u16855)), _u16854), _u16856) = hAPP(hAPP(c_List_Olist__update(_u16852, _u16853), _u16854), _u16856)) )).
% 12.21/12.47 cnf(matrix-7010, plain, ( ( _u16857 = _u16858) | ( hAPP(hAPP(c_List_Olist__update(_u16859, hAPP(hAPP(c_List_Olist__update(_u16859, _u16860), _u16857), _u16861)), _u16858), _u16862) = hAPP(hAPP(c_List_Olist__update(_u16859, hAPP(hAPP(c_List_Olist__update(_u16859, _u16860), _u16858), _u16862)), _u16857), _u16861)) )).
% 12.21/12.47 cnf(matrix-7011, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u16863, _u16864), hAPP(hAPP(c_List_Ozip(_u16863, _u16864), _u16865), _u16866)), _u16867), _u16868) = hAPP(hAPP(c_List_Ozip(_u16863, _u16864), hAPP(hAPP(c_List_Olist__update(_u16863, _u16865), _u16867), hAPP(c_Product__Type_Ofst(_u16863, _u16864), _u16868))), hAPP(hAPP(c_List_Olist__update(_u16864, _u16866), _u16867), hAPP(c_Product__Type_Osnd(_u16863, _u16864), _u16868)))) )).
% 12.21/12.47 cnf(matrix-7012, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16869, _u16870), hAPP(hAPP(c_List_Olist__update(_u16869, _u16871), _u16872), _u16873)), hAPP(hAPP(c_List_Olist__update(_u16870, _u16874), _u16872), _u16875)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u16869, _u16870), hAPP(hAPP(c_List_Ozip(_u16869, _u16870), _u16871), _u16874)), _u16872), hAPP(hAPP(c_Product__Type_OPair(_u16869, _u16870), _u16873), _u16875))) )).
% 12.21/12.47 cnf(matrix-7013, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16876, hAPP(hAPP(c_List_Olist_OCons(_u16876), _u16877), _u16878)), _u16879), _u16880) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16876), hAPP(hAPP(c_List_Olist_OCons(_u16876), _u16880), _u16878), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16876), tc_List_Olist(_u16876), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16876), _u16877)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u16876, tc_List_Olist(_u16876)), c_List_Olist__update(_u16876, _u16878)), _u16880)), _u16879)) )).
% 12.21/12.47 cnf(matrix-7014, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16881, hAPP(hAPP(c_List_Olist_OCons(_u16881), _u16882), _u16883)), hAPP(c_Nat_OSuc, _u16884)), _u16885) = hAPP(hAPP(c_List_Olist_OCons(_u16881), _u16882), hAPP(hAPP(c_List_Olist__update(_u16881, _u16883), _u16884), _u16885))) )).
% 12.21/12.47 cnf(matrix-7015, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16886, hAPP(hAPP(c_List_Olist_OCons(_u16886), _u16887), _u16888)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16889) = hAPP(hAPP(c_List_Olist_OCons(_u16886), _u16889), _u16888)) )).
% 12.21/12.47 cnf(matrix-7016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16890, tc_HOL_Obool)), hAPP(c_List_Oset(_u16890), _u16891)), _u16892)) | ~hBOOL(hAPP(hAPP(c_member(_u16890), _u16893), _u16892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16890, tc_HOL_Obool)), hAPP(c_List_Oset(_u16890), hAPP(hAPP(c_List_Olist__update(_u16890, _u16891), _u16894), _u16893))), _u16892)) )).
% 12.21/12.47 cnf(matrix-7017, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16895, tc_HOL_Obool)), hAPP(c_List_Oset(_u16895), hAPP(hAPP(c_List_Olist__update(_u16895, _u16896), _u16897), _u16898))), hAPP(hAPP(c_Set_Oinsert(_u16895), _u16898), hAPP(c_List_Oset(_u16895), _u16896)))) )).
% 12.21/12.47 cnf(matrix-7018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16899), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16900)), _u16901))) | ( hAPP(hAPP(c_List_Onth(_u16900), hAPP(hAPP(c_List_Olist__update(_u16900, _u16901), _u16899), _u16902)), _u16899) = _u16902) )).
% 12.21/12.47 cnf(matrix-7019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16903), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16904)), _u16905))) | ( hAPP(hAPP(c_List_Olist__update(_u16904, _u16905), _u16903), _u16906) != _u16905) | ( hAPP(hAPP(c_List_Onth(_u16904), _u16905), _u16903) = _u16906) )).
% 12.21/12.47 cnf(matrix-7020, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16903), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16904)), _u16905))) | ( hAPP(hAPP(c_List_Onth(_u16904), _u16905), _u16903) != _u16906) | ( hAPP(hAPP(c_List_Olist__update(_u16904, _u16905), _u16903), _u16906) = _u16905) )).
% 12.21/12.47 cnf(matrix-7021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16907), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16908)), _u16909))) | ( _u16907 != _u16910) | ( hAPP(hAPP(c_List_Onth(_u16908), hAPP(hAPP(c_List_Olist__update(_u16908, _u16909), _u16907), _u16911)), _u16910) = _u16911) )).
% 12.21/12.47 cnf(matrix-7022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16907), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16908)), _u16909))) | ( _u16907 = _u16910) | ( hAPP(hAPP(c_List_Onth(_u16908), hAPP(hAPP(c_List_Olist__update(_u16908, _u16909), _u16907), _u16911)), _u16910) = hAPP(hAPP(c_List_Onth(_u16908), _u16909), _u16910)) )).
% 12.21/12.47 cnf(matrix-7023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16912), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16913)), _u16914))) | hBOOL(hAPP(hAPP(c_member(_u16913), _u16915), hAPP(c_List_Oset(_u16913), hAPP(hAPP(c_List_Olist__update(_u16913, _u16914), _u16912), _u16915)))) )).
% 12.21/12.47 cnf(matrix-7024, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16924), tc_List_Olist(_u16924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16924), tc_List_Olist(_u16924)), _u16926), _u16928)), c_List_Olistrel1(_u16924, _u16930))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), hAPP(hAPP(c_List_Onth(_u16924), _u16926), skolem432(_u16930, _u16928, _u16926, _u16924))), skolem431(_u16930, _u16928, _u16926, _u16924))), _u16930)) )).
% 12.21/12.47 cnf(matrix-7025, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16924), tc_List_Olist(_u16924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16924), tc_List_Olist(_u16924)), _u16926), _u16928)), c_List_Olistrel1(_u16924, _u16930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem432(_u16930, _u16928, _u16926, _u16924)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16924)), _u16926))) )).
% 12.21/12.47 cnf(matrix-7026, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16924), tc_List_Olist(_u16924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16924), tc_List_Olist(_u16924)), _u16926), _u16928)), c_List_Olistrel1(_u16924, _u16930))) | ( _u16928 = hAPP(hAPP(c_List_Olist__update(_u16924, _u16926), skolem432(_u16930, _u16928, _u16926, _u16924)), skolem431(_u16930, _u16928, _u16926, _u16924))) )).
% 12.21/12.47 cnf(matrix-7027, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16925, _u16925)), hAPP(hAPP(c_Product__Type_OPair(_u16925, _u16925), hAPP(hAPP(c_List_Onth(_u16925), _u16927), _u16918)), _u16919)), _u16931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16918), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16925)), _u16927))) | ( _u16929 != hAPP(hAPP(c_List_Olist__update(_u16925, _u16927), _u16918), _u16919)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16925), tc_List_Olist(_u16925))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16925), tc_List_Olist(_u16925)), _u16927), _u16929)), c_List_Olistrel1(_u16925, _u16931))) )).
% 12.21/12.47 cnf(matrix-7028, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16939), _u16941), hAPP(c_List_Oset(_u16939), hAPP(hAPP(c_List_Otake(_u16939), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16943)), _u16945)), _u16947)))) | ( c_Map_Omap__upds(_u16939, _u16943, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16939, tc_Option_Ooption(_u16943)), _u16949), _u16941), hAPP(c_Option_Ooption_OSome(_u16943), _u16951)), _u16947, _u16945) = c_Map_Omap__upds(_u16939, _u16943, _u16949, _u16947, _u16945)) )).
% 12.21/12.47 cnf(matrix-7029, plain, ( hBOOL(hAPP(hAPP(c_member(_u16940), _u16942), hAPP(c_List_Oset(_u16940), hAPP(hAPP(c_List_Otake(_u16940), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16944)), _u16946)), _u16948)))) | ( c_Map_Omap__upds(_u16940, _u16944, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16940, tc_Option_Ooption(_u16944)), _u16950), _u16942), hAPP(c_Option_Ooption_OSome(_u16944), _u16952)), _u16948, _u16946) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16940, tc_Option_Ooption(_u16944)), c_Map_Omap__upds(_u16940, _u16944, _u16950, _u16948, _u16946)), _u16942), hAPP(c_Option_Ooption_OSome(_u16944), _u16952))) )).
% 12.21/12.47 cnf(matrix-7030, plain, ( hBOOL(hAPP(hAPP(c_member(_u16953), _u16954), hAPP(c_List_Oset(_u16953), _u16955))) | ( hAPP(c_Map_Omap__upds(_u16953, _u16956, _u16957, _u16955, _u16958), _u16954) = hAPP(_u16957, _u16954)) )).
% 12.21/12.47 cnf(matrix-7031, plain, ( ( c_Map_Omap__add(_u16959, _u16960, _u16961, c_Map_Omap__upds(_u16959, _u16960, _u16962, _u16963, _u16964)) = c_Map_Omap__upds(_u16959, _u16960, c_Map_Omap__add(_u16959, _u16960, _u16961, _u16962), _u16963, _u16964)) )).
% 12.21/12.47 cnf(matrix-7032, plain, ( ( c_Map_Omap__upds(_u16965, _u16966, _u16967, hAPP(hAPP(c_List_Olist_OCons(_u16965), _u16968), _u16969), hAPP(hAPP(c_List_Olist_OCons(_u16966), _u16970), _u16971)) = c_Map_Omap__upds(_u16965, _u16966, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16965, tc_Option_Ooption(_u16966)), _u16967), _u16968), hAPP(c_Option_Ooption_OSome(_u16966), _u16970)), _u16969, _u16971)) )).
% 12.21/12.47 cnf(matrix-7033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16972)), _u16973)), _u16974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16974), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16975)), _u16976))) | ( c_Map_Omap__upds(_u16972, _u16975, _u16977, _u16973, hAPP(hAPP(c_List_Olist__update(_u16975, _u16976), _u16974), _u16978)) = c_Map_Omap__upds(_u16972, _u16975, _u16977, _u16973, _u16976)) )).
% 12.21/12.47 cnf(matrix-7034, plain, ( hBOOL(hAPP(hAPP(c_member(_u16979), _u16980), hAPP(c_List_Oset(_u16979), _u16981))) | ( c_Map_Omap__upds(_u16979, _u16982, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16979, tc_Option_Ooption(_u16982)), _u16983), _u16980), hAPP(c_Option_Ooption_OSome(_u16982), _u16984)), _u16981, _u16985) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16979, tc_Option_Ooption(_u16982)), c_Map_Omap__upds(_u16979, _u16982, _u16983, _u16981, _u16985)), _u16980), hAPP(c_Option_Ooption_OSome(_u16982), _u16984))) )).
% 12.21/12.47 cnf(matrix-7035, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16986, tc_HOL_Obool)), hAPP(c_List_Oset(_u16986), _u16987)), _u16990)) | ( c_Map_Orestrict__map(_u16986, _u16988, c_Map_Omap__upds(_u16986, _u16988, _u16991, _u16987, _u16989), _u16990) = c_Map_Omap__upds(_u16986, _u16988, c_Map_Orestrict__map(_u16986, _u16988, _u16991, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16986, tc_HOL_Obool)), _u16990), hAPP(c_List_Oset(_u16986), _u16987))), _u16987, _u16989)) )).
% 12.21/12.47 cnf(matrix-7036, plain, ( ( c_Map_Odom(_u16992, _u16993, c_Map_Omap__upds(_u16992, _u16993, _u16994, _u16995, _u16996)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16992, tc_HOL_Obool)), hAPP(c_List_Oset(_u16992), hAPP(hAPP(c_List_Otake(_u16992), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16993)), _u16996)), _u16995))), c_Map_Odom(_u16992, _u16993, _u16994))) )).
% 12.21/12.47 cnf(matrix-7037, plain, ( ( c_Random_Oselect(_u16997, _u16998) = 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(_u16997, 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(_u16997)), _u16998)))), hAPP(hAPP(c_COMBB(_u16997, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u16997, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u16997, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u16997, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u16997), _u16998)), c_Code__Numeral_Onat__of)))) )).
% 12.21/12.47 cnf(matrix-7038, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u16999)), hAPP(c_Code__Numeral_Oof__nat, _u17000)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16999), _u17000))) )).
% 12.21/12.47 cnf(matrix-7039, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17001)) = _u17001) )).
% 12.21/12.47 cnf(matrix-7040, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17002)) = _u17002) )).
% 12.21/12.47 cnf(matrix-7041, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17003)) = _u17003) )).
% 12.21/12.47 cnf(matrix-7042, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17006) != hAPP(c_Code__Numeral_Onat__of, _u17008)) | ( _u17006 = _u17008) )).
% 12.21/12.47 cnf(matrix-7043, plain, ( ( _u17007 != _u17009) | ( hAPP(c_Code__Numeral_Onat__of, _u17007) = hAPP(c_Code__Numeral_Onat__of, _u17009)) )).
% 12.21/12.47 cnf(matrix-7044, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17012) != hAPP(c_Code__Numeral_Onat__of, _u17014)) | ( _u17012 = _u17014) )).
% 12.21/12.47 cnf(matrix-7045, plain, ( ( _u17013 != _u17015) | ( hAPP(c_Code__Numeral_Onat__of, _u17013) = hAPP(c_Code__Numeral_Onat__of, _u17015)) )).
% 12.21/12.47 cnf(matrix-7046, plain, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17018), _u17020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17018)), hAPP(c_Code__Numeral_Onat__of, _u17020))) )).
% 12.21/12.47 cnf(matrix-7048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17019)), hAPP(c_Code__Numeral_Onat__of, _u17021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17019), _u17021)) )).
% 12.21/12.47 cnf(matrix-7049, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17022)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-7050, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17023)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17023)) )).
% 12.21/12.47 cnf(matrix-7051, plain, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.21/12.47 cnf(matrix-7052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17026), _u17028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17026)), hAPP(c_Code__Numeral_Onat__of, _u17028))) )).
% 12.21/12.47 cnf(matrix-7053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17027)), hAPP(c_Code__Numeral_Onat__of, _u17029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17027), _u17029)) )).
% 12.21/12.47 cnf(matrix-7054, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17030) = c_Code__Numeral_Onat__of__aux(_u17030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7055, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17031, _u17032) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17031)), _u17032)) )).
% 12.21/12.47 cnf(matrix-7056, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17033) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17033)))) )).
% 12.21/12.47 cnf(matrix-7057, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17034), _u17035) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17034)), hAPP(c_Code__Numeral_Onat__of, _u17035)))) )).
% 12.21/12.47 cnf(matrix-7058, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17036), 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, _u17036)) = _u17036) )).
% 12.21/12.47 cnf(matrix-7059, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17037), _u17038) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17037)), hAPP(c_Code__Numeral_Onat__of, _u17038)))) )).
% 12.21/12.47 cnf(matrix-7060, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17039), _u17040) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17039)), hAPP(c_Code__Numeral_Onat__of, _u17040)))) )).
% 12.21/12.47 cnf(matrix-7061, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17041), _u17042) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17041), _u17042)) )).
% 12.21/12.47 cnf(matrix-7062, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.21/12.47 cnf(matrix-7063, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17043), _u17044) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17043)), hAPP(c_Code__Numeral_Onat__of, _u17044)))) )).
% 12.21/12.47 cnf(matrix-7064, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17045, _u17046) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17045), hAPP(c_Code__Numeral_Onat__of, _u17046)))) )).
% 12.21/12.47 cnf(matrix-7065, plain, ( ( _u17047 = 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, _u17047)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17047))) )).
% 12.21/12.47 cnf(matrix-7066, plain, ( ( _u17048 = c_List_Olist_ONil(_u17049)) | ( c_Random_Oselect__weight(_u17049, hAPP(hAPP(c_List_Omap(_u17049, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17049)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17049), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17048)) = c_Random_Oselect(_u17049, _u17048)) )).
% 12.21/12.47 cnf(matrix-7067, plain, ( ~class_Groups_Omonoid__add(_u17051) | ~class_Groups_Oordered__ab__semigroup__add(_u17051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17051), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17054), _u17053))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17055), _u17053)))) | hBOOL(hAPP(hAPP(c_member(_u17052), skolem433(_u17055, _u17054, _u17053, _u17052, _u17051)), hAPP(c_List_Oset(_u17052), _u17053))) )).
% 12.21/12.47 cnf(matrix-7068, plain, ( ~class_Groups_Omonoid__add(_u17051) | ~class_Groups_Oordered__ab__semigroup__add(_u17051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17051), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17054), _u17053))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17051), hAPP(hAPP(c_List_Omap(_u17052, _u17051), _u17055), _u17053)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17051), hAPP(_u17054, skolem433(_u17055, _u17054, _u17053, _u17052, _u17051))), hAPP(_u17055, skolem433(_u17055, _u17054, _u17053, _u17052, _u17051)))) )).
% 12.21/12.47 cnf(matrix-7069, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17056)), c_List_Olist_ONil(_u17056)), c_List_Olists(_u17056, _u17057))) )).
% 12.21/12.47 cnf(matrix-7070, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17058), tc_List_Olist(_u17058))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17058), tc_List_Olist(_u17058)), _u17059), c_List_Olist_ONil(_u17058))), c_List_Olistrel(_u17058, _u17060))) | ( _u17059 = c_List_Olist_ONil(_u17058)) )).
% 12.21/12.47 cnf(matrix-7071, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17061), tc_List_Olist(_u17061))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17061), tc_List_Olist(_u17061)), c_List_Olist_ONil(_u17061)), _u17062)), c_List_Olistrel(_u17061, _u17063))) | ( _u17062 = c_List_Olist_ONil(_u17061)) )).
% 12.21/12.47 cnf(matrix-7072, plain, ( ( hAPP(hAPP(c_List_Otake(_u17067), _u17069), _u17071) != c_List_Olist_ONil(_u17067)) | ( _u17069 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17071 = c_List_Olist_ONil(_u17067)) )).
% 12.21/12.47 cnf(matrix-7073, plain, ( ( hAPP(hAPP(c_List_Otake(_u17068), _u17070), _u17072) = c_List_Olist_ONil(_u17068)) | ( _u17070 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7074, plain, ( ( hAPP(hAPP(c_List_Otake(_u17068), _u17070), _u17072) = c_List_Olist_ONil(_u17068)) | ( _u17072 != c_List_Olist_ONil(_u17068)) )).
% 12.21/12.47 cnf(matrix-7075, plain, ( ( hAPP(hAPP(c_List_Otake(_u17073), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17074) = c_List_Olist_ONil(_u17073)) )).
% 12.21/12.47 cnf(matrix-7076, plain, ( ( hAPP(hAPP(c_List_Otake(_u17075), _u17076), c_List_Olist_ONil(_u17075)) = c_List_Olist_ONil(_u17075)) )).
% 12.21/12.47 cnf(matrix-7077, plain, ( ( c_Enum_On__lists(_u17077, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17078) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17077)), c_List_Olist_ONil(_u17077)), c_List_Olist_ONil(tc_List_Olist(_u17077)))) )).
% 12.21/12.47 cnf(matrix-7078, plain, ( ( _u17081 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17083, _u17081, c_List_Olist_ONil(_u17083)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17083)), c_List_Olist_ONil(_u17083)), c_List_Olist_ONil(tc_List_Olist(_u17083)))) )).
% 12.21/12.47 cnf(matrix-7079, plain, ( ( _u17082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17084, _u17082, c_List_Olist_ONil(_u17084)) = c_List_Olist_ONil(tc_List_Olist(_u17084))) )).
% 12.21/12.47 cnf(matrix-7080, plain, ( ( c_Enum_Osublists(_u17085, c_List_Olist_ONil(_u17085)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17085)), c_List_Olist_ONil(_u17085)), c_List_Olist_ONil(tc_List_Olist(_u17085)))) )).
% 12.21/12.47 cnf(matrix-7081, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17086), _u17087), _u17088) != c_List_Olist_ONil(_u17086)) )).
% 12.21/12.47 cnf(matrix-7082, plain, ( ( c_List_Olist_ONil(_u17089) != hAPP(hAPP(c_List_Olist_OCons(_u17089), _u17090), _u17091)) )).
% 12.21/12.47 cnf(matrix-7083, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17092, _u17093), c_List_Olist_ONil(_u17092)), _u17094) = c_List_Olist_ONil(tc_prod(_u17092, _u17093))) )).
% 12.21/12.47 cnf(matrix-7084, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17095, _u17096), _u17097), c_List_Olist_ONil(_u17096)) = c_List_Olist_ONil(tc_prod(_u17095, _u17096))) )).
% 12.21/12.47 cnf(matrix-7085, plain, ( ( c_List_Osublist(_u17098, _u17099, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u17098)) )).
% 12.21/12.47 cnf(matrix-7086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17100), _u17101)) | ( c_List_Oupto(_u17101, _u17100) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-7087, plain, ( ( hAPP(c_List_Oset(_u17104), _u17106) != c_Orderings_Obot__class_Obot(tc_fun(_u17104, tc_HOL_Obool))) | ( _u17106 = c_List_Olist_ONil(_u17104)) )).
% 12.21/12.47 cnf(matrix-7088, plain, ( ( _u17107 != c_List_Olist_ONil(_u17105)) | ( hAPP(c_List_Oset(_u17105), _u17107) = c_Orderings_Obot__class_Obot(tc_fun(_u17105, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7089, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u17110, tc_HOL_Obool)) != hAPP(c_List_Oset(_u17110), _u17112)) | ( _u17112 = c_List_Olist_ONil(_u17110)) )).
% 12.21/12.47 cnf(matrix-7090, plain, ( ( _u17113 != c_List_Olist_ONil(_u17111)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u17111, tc_HOL_Obool)) = hAPP(c_List_Oset(_u17111), _u17113)) )).
% 12.21/12.47 cnf(matrix-7091, plain, ( ( hAPP(c_List_Oset(_u17114), c_List_Olist_ONil(_u17114)) = c_Orderings_Obot__class_Obot(tc_fun(_u17114, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7092, plain, ( ( c_List_Osublist(_u17115, c_List_Olist_ONil(_u17115), _u17116) = c_List_Olist_ONil(_u17115)) )).
% 12.21/12.47 cnf(matrix-7093, plain, ( ~class_Groups_Omonoid__add(_u17117) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17117), c_List_Olist_ONil(_u17117)) = c_Groups_Ozero__class_Ozero(_u17117)) )).
% 12.21/12.47 cnf(matrix-7094, plain, ( ( c_List_Ofoldr(_u17118, _u17119, _u17120, c_List_Olist_ONil(_u17118), _u17121) = _u17121) )).
% 12.21/12.47 cnf(matrix-7095, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u17122, _u17123), c_List_Olist_ONil(tc_prod(_u17122, _u17123))), _u17124) = c_Option_Ooption_ONone(_u17123)) )).
% 12.21/12.47 cnf(matrix-7096, plain, ( ( c_Enum_Oproduct(_u17125, _u17126, c_List_Olist_ONil(_u17125), _u17127) = c_List_Olist_ONil(tc_prod(_u17125, _u17126))) )).
% 12.21/12.47 cnf(matrix-7097, plain, ( ( c_List_Olist_Olist__size(_u17128, _u17129, c_List_Olist_ONil(_u17128)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7098, plain, ( c_List_Olistrelp(_u17130, _u17131, c_List_Olist_ONil(_u17130), c_List_Olist_ONil(_u17130)) )).
% 12.21/12.47 cnf(matrix-7099, plain, ( c_List_Olistrelp(_u17132, _u17133, c_List_Olist_ONil(_u17132), c_List_Olist_ONil(_u17132)) )).
% 12.21/12.47 cnf(matrix-7100, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17134), c_List_Olist_ONil(_u17134))) )).
% 12.21/12.47 cnf(matrix-7101, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17135)), c_List_Olist_ONil(_u17135)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7102, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17138)), _u17140) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17140 = c_List_Olist_ONil(_u17138)) )).
% 12.21/12.47 cnf(matrix-7103, plain, ( ( _u17141 != c_List_Olist_ONil(_u17139)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17139)), _u17141) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7104, plain, ( ( hAPP(hAPP(c_List_Omap(_u17146, _u17148), _u17150), _u17152) != c_List_Olist_ONil(_u17148)) | ( _u17152 = c_List_Olist_ONil(_u17146)) )).
% 12.21/12.47 cnf(matrix-7105, plain, ( ( _u17153 != c_List_Olist_ONil(_u17147)) | ( hAPP(hAPP(c_List_Omap(_u17147, _u17149), _u17151), _u17153) = c_List_Olist_ONil(_u17149)) )).
% 12.21/12.47 cnf(matrix-7106, plain, ( ( hAPP(hAPP(c_List_Omap(_u17154, _u17155), _u17156), c_List_Olist_ONil(_u17154)) = c_List_Olist_ONil(_u17155)) )).
% 12.21/12.47 cnf(matrix-7107, plain, ( ( _u17167 = c_List_Olist_ONil(_u17163)) | ( c_List_Olist_ONil(_u17161) != hAPP(hAPP(c_List_Omap(_u17163, _u17161), _u17165), _u17167)) )).
% 12.21/12.47 cnf(matrix-7108, plain, ( ( _u17168 != c_List_Olist_ONil(_u17164)) | ( c_List_Olist_ONil(_u17162) = hAPP(hAPP(c_List_Omap(_u17164, _u17162), _u17166), _u17168)) )).
% 12.21/12.47 cnf(matrix-7109, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u17169, _u17170), c_List_Olist_ONil(tc_prod(_u17169, _u17170))), _u17171) = c_Option_Ooption_ONone(_u17170)) )).
% 12.21/12.47 cnf(matrix-7110, plain, ( ( c_Map_Omap__upds(_u17172, _u17173, _u17174, c_List_Olist_ONil(_u17172), _u17175) = _u17174) )).
% 12.21/12.47 cnf(matrix-7111, plain, ( ( c_Map_Omap__upds(_u17176, _u17177, _u17178, _u17179, c_List_Olist_ONil(_u17177)) = _u17178) )).
% 12.21/12.47 cnf(matrix-7112, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u17180, c_List_Olist_ONil(_u17180)), _u17181), _u17182) = c_List_Olist_ONil(_u17180)) )).
% 12.21/12.47 cnf(matrix-7113, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u17183, c_List_Olist_ONil(_u17183)), _u17184), _u17185) = c_List_Olist_ONil(_u17183)) )).
% 12.21/12.47 cnf(matrix-7114, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u17190, _u17192), _u17194), _u17196) != c_List_Olist_ONil(_u17190)) | ( _u17192 = c_List_Olist_ONil(_u17190)) )).
% 12.21/12.47 cnf(matrix-7115, plain, ( ( _u17193 != c_List_Olist_ONil(_u17191)) | ( hAPP(hAPP(c_List_Olist__update(_u17191, _u17193), _u17195), _u17197) = c_List_Olist_ONil(_u17191)) )).
% 12.21/12.47 cnf(matrix-7116, 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(_u17200)), _u17202))) | ( _u17202 != c_List_Olist_ONil(_u17200)) )).
% 12.21/12.47 cnf(matrix-7117, plain, ( ( _u17203 = c_List_Olist_ONil(_u17201)) | 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(_u17201)), _u17203))) )).
% 12.21/12.47 cnf(matrix-7118, plain, ( ( hAPP(hAPP(c_List_Otake(_u17204), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u17204), _u17205), _u17206)) = hAPP(hAPP(c_List_Olist_OCons(_u17204), _u17205), c_List_Olist_ONil(_u17204))) )).
% 12.21/12.47 cnf(matrix-7119, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17207), tc_List_Olist(_u17207))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17207), tc_List_Olist(_u17207)), _u17208), c_List_Olist_ONil(_u17207))), c_List_Olistrel1(_u17207, _u17209))) )).
% 12.21/12.47 cnf(matrix-7120, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17210), tc_List_Olist(_u17210))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17210), tc_List_Olist(_u17210)), c_List_Olist_ONil(_u17210)), _u17211)), c_List_Olistrel1(_u17210, _u17212))) )).
% 12.21/12.47 cnf(matrix-7121, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17213), tc_List_Olist(_u17213))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17213), tc_List_Olist(_u17213)), c_List_Olist_ONil(_u17213)), c_List_Olist_ONil(_u17213))), c_List_Olistrel(_u17213, _u17214))) )).
% 12.21/12.47 cnf(matrix-7122, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17215), tc_List_Olist(_u17215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17215), tc_List_Olist(_u17215)), _u17216), c_List_Olist_ONil(_u17215))), c_List_Olexord(_u17215, _u17217))) )).
% 12.21/12.47 cnf(matrix-7123, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17218), tc_List_Olist(_u17218))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17218), tc_List_Olist(_u17218)), _u17219), c_List_Olist_ONil(_u17218))), c_List_Olex(_u17218, _u17220))) )).
% 12.21/12.47 cnf(matrix-7124, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17221), tc_List_Olist(_u17221))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17221), tc_List_Olist(_u17221)), c_List_Olist_ONil(_u17221)), _u17222)), c_List_Olex(_u17221, _u17223))) )).
% 12.21/12.47 cnf(matrix-7125, plain, ( ( hAPP(hAPP(c_List_Otake(_u17224), _u17225), hAPP(hAPP(c_List_Olist_OCons(_u17224), _u17226), _u17227)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17224), c_List_Olist_ONil(_u17224), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17224), tc_List_Olist(_u17224), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u17224), _u17226)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17224), tc_List_Olist(_u17224)), c_List_Otake(_u17224)), _u17227)), _u17225)) )).
% 12.21/12.47 cnf(matrix-7126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17230), _u17232)) | ( c_List_Oupto(_u17230, _u17232) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u17230), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17230), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17232))) )).
% 12.21/12.47 cnf(matrix-7127, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17231), _u17233)) | ( c_List_Oupto(_u17231, _u17233) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-7128, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17237)) | ( c_List_Osublist(_u17239, hAPP(hAPP(c_List_Olist_OCons(_u17239), _u17241), c_List_Olist_ONil(_u17239)), _u17237) = hAPP(hAPP(c_List_Olist_OCons(_u17239), _u17241), c_List_Olist_ONil(_u17239))) )).
% 12.21/12.47 cnf(matrix-7129, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17238)) | ( c_List_Osublist(_u17240, hAPP(hAPP(c_List_Olist_OCons(_u17240), _u17242), c_List_Olist_ONil(_u17240)), _u17238) = c_List_Olist_ONil(_u17240)) )).
% 12.21/12.47 cnf(matrix-7130, plain, ( ( c_List_Olists(_u17243, c_Orderings_Obot__class_Obot(tc_fun(_u17243, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17243)), c_List_Olist_ONil(_u17243)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17243), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-7131, plain, ( ( _u17248 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17250), _u17248), hAPP(hAPP(c_List_Olist_OCons(_u17250), _u17252), _u17254)) = c_List_Olist_ONil(_u17250)) )).
% 12.21/12.47 cnf(matrix-7132, plain, ( ( _u17249 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17251), _u17249), hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17253), _u17255)) = hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17253), hAPP(hAPP(c_List_Otake(_u17251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17249), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17255))) )).
% 12.21/12.47 cnf(matrix-7133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17260))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17260)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17258)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17260)))) )).
% 12.21/12.47 cnf(matrix-7134, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17259)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17261))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u17261)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-7135, plain, ( ( _u17262 = c_List_Olist_ONil(_u17263)) | hBOOL(hAPP(hAPP(c_member(_u17263), hAPP(c_Product__Type_Ofst(_u17263, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u17263, _u17262), _u17264))), hAPP(c_List_Oset(_u17263), _u17262))) )).
% 12.21/12.47 cnf(matrix-7136, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u17265), tc_List_Olist(_u17265), c_List_Olistrel(_u17265, _u17266)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17265)), c_List_Olist_ONil(_u17265)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17265), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17265)), c_List_Olist_ONil(_u17265)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17265), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-7137, plain, ( ( c_List_Oset__Cons(_u17267, _u17268, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17267)), c_List_Olist_ONil(_u17267)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17267), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u17267, tc_List_Olist(_u17267), hAPP(hAPP(c_COMBC(_u17267, tc_List_Olist(_u17267), tc_List_Olist(_u17267)), c_List_Olist_OCons(_u17267)), c_List_Olist_ONil(_u17267))), _u17268)) )).
% 12.21/12.47 cnf(matrix-7138, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17273) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17275), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17273)), hAPP(hAPP(c_List_Olist_OCons(_u17275), _u17277), _u17279)) = c_List_Olist_ONil(_u17275)) )).
% 12.21/12.47 cnf(matrix-7139, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17274) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u17276), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17274)), hAPP(hAPP(c_List_Olist_OCons(_u17276), _u17278), _u17280)) = hAPP(hAPP(c_List_Olist_OCons(_u17276), _u17278), hAPP(hAPP(c_List_Otake(_u17276), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17274)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17280))) )).
% 12.21/12.47 cnf(matrix-7140, 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), _u17281), _u17282))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17281), _u17282)) | ( c_List_Oupto(_u17281, _u17282) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u17281), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17281), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17282))) )).
% 12.21/12.47 cnf(matrix-7141, 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), _u17281), _u17282))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u17281), _u17282)) | ( c_List_Oupto(_u17281, _u17282) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-7142, plain, ( ( _u17288 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u17290, _u17292, _u17294), _u17288), _u17296) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17292), _u17290), c_List_Olist_ONil(_u17292)), _u17296)) )).
% 12.21/12.47 cnf(matrix-7143, plain, ( ( _u17289 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u17291, _u17293, _u17295), _u17289), _u17297) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(_u17293, _u17291), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17293), _u17291), c_List_Olist_ONil(_u17293)), _u17297), hAPP(c_Product__Type_Oprod_Oprod__case(_u17293, _u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), hAPP(hAPP(c_COMBC(_u17293, tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(tc_List_Olist(_u17293), _u17291)), tc_fun(tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), _u17293), c_COMBB(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(tc_List_Olist(_u17293), _u17291), _u17291)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17293), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), tc_fun(tc_prod(tc_List_Olist(_u17293), _u17291), tc_prod(tc_List_Olist(_u17293), _u17291)), _u17293), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17293), _u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17293), tc_List_Olist(_u17293)), tc_fun(tc_List_Olist(_u17293), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291))), _u17293), hAPP(c_COMBB(tc_List_Olist(_u17293), tc_fun(_u17291, tc_prod(tc_List_Olist(_u17293), _u17291)), tc_List_Olist(_u17293)), c_Product__Type_OPair(tc_List_Olist(_u17293), _u17291))), c_List_Olist_OCons(_u17293))))), hAPP(c_Lazy__Sequence_Oanamorph(_u17291, _u17293, _u17295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17289), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u17295, _u17297))) )).
% 12.21/12.47 cnf(matrix-7144, plain, ( ( c_List_Olistset(_u17298, c_List_Olist_ONil(tc_fun(_u17298, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u17298)), c_List_Olist_ONil(_u17298)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u17298), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-7145, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17299, _u17300), hAPP(hAPP(c_List_Olist_OCons(_u17299), _u17301), _u17302)), _u17303) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u17299, _u17300)), _u17300, c_List_Olist_ONil(tc_prod(_u17299, _u17300)), hAPP(hAPP(c_COMBC(_u17300, tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300))), tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(tc_prod(_u17299, _u17300))), tc_fun(tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300))), tc_fun(tc_List_Olist(_u17300), tc_List_Olist(tc_prod(_u17299, _u17300)))), _u17300), c_COMBB(tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(_u17300))), hAPP(hAPP(c_COMBB(tc_prod(_u17299, _u17300), tc_fun(tc_List_Olist(tc_prod(_u17299, _u17300)), tc_List_Olist(tc_prod(_u17299, _u17300))), _u17300), c_List_Olist_OCons(tc_prod(_u17299, _u17300))), hAPP(c_Product__Type_OPair(_u17299, _u17300), _u17301)))), hAPP(c_List_Ozip(_u17299, _u17300), _u17302))), _u17303)) )).
% 12.21/12.47 cnf(matrix-7146, plain, ( ( hAPP(c_List_Olist_Olist__case(_u17304, _u17305, _u17306, _u17307), hAPP(hAPP(c_List_Olist_OCons(_u17305), _u17308), _u17309)) = hAPP(hAPP(_u17307, _u17308), _u17309)) )).
% 12.21/12.47 cnf(matrix-7147, plain, ( ( hAPP(c_List_Olist_Olist__case(_u17310, _u17311, _u17312, _u17313), c_List_Olist_ONil(_u17311)) = _u17312) )).
% 12.21/12.47 cnf(matrix-7148, plain, ( ( c_List_Olistset(_u17314, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u17314, tc_HOL_Obool)), _u17315), _u17316)) = c_List_Oset__Cons(_u17314, _u17315, c_List_Olistset(_u17314, _u17316))) )).
% 12.21/12.47 cnf(matrix-7149, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17317, _u17318), _u17319), hAPP(hAPP(c_List_Olist_OCons(_u17318), _u17320), _u17321)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u17317, _u17318)), _u17317, c_List_Olist_ONil(tc_prod(_u17317, _u17318)), hAPP(hAPP(c_COMBC(_u17317, tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318))), tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(tc_prod(_u17317, _u17318))), tc_fun(tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318))), tc_fun(tc_List_Olist(_u17317), tc_List_Olist(tc_prod(_u17317, _u17318)))), _u17317), c_COMBB(tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(_u17317))), hAPP(hAPP(c_COMBB(tc_prod(_u17317, _u17318), tc_fun(tc_List_Olist(tc_prod(_u17317, _u17318)), tc_List_Olist(tc_prod(_u17317, _u17318))), _u17317), c_List_Olist_OCons(tc_prod(_u17317, _u17318))), hAPP(hAPP(c_COMBC(_u17317, _u17318, tc_prod(_u17317, _u17318)), c_Product__Type_OPair(_u17317, _u17318)), _u17320)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17317), tc_List_Olist(_u17318), tc_List_Olist(tc_prod(_u17317, _u17318))), c_List_Ozip(_u17317, _u17318)), _u17321))), _u17319)) )).
% 12.21/12.47 cnf(matrix-7150, 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), _u17324), _u17325))) | hBOOL(hAPP(hAPP(_u17326, _u17324), _u17325)) | 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), skolem434(_u17326, _u17325, _u17324)), skolem435(_u17326, _u17325, _u17324)))) )).
% 12.21/12.47 cnf(matrix-7151, 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), _u17324), _u17325))) | hBOOL(hAPP(hAPP(_u17326, _u17324), _u17325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem434(_u17326, _u17325, _u17324)), skolem435(_u17326, _u17325, _u17324))) | hBOOL(hAPP(hAPP(_u17326, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem434(_u17326, _u17325, _u17324)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem435(_u17326, _u17325, _u17324))) )).
% 12.21/12.47 cnf(matrix-7152, 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), _u17324), _u17325))) | hBOOL(hAPP(hAPP(_u17326, _u17324), _u17325)) | ~hBOOL(hAPP(hAPP(_u17326, skolem434(_u17326, _u17325, _u17324)), skolem435(_u17326, _u17325, _u17324))) )).
% 12.21/12.47 cnf(matrix-7153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17327)), _u17328)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17329)), _u17330))) | ( c_Map_Omap__upds(_u17327, _u17329, _u17331, hAPP(hAPP(c_List_Oappend(_u17327), _u17328), hAPP(hAPP(c_List_Olist_OCons(_u17327), _u17332), c_List_Olist_ONil(_u17327))), _u17330) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17327, tc_Option_Ooption(_u17329)), c_Map_Omap__upds(_u17327, _u17329, _u17331, _u17328, _u17330)), _u17332), hAPP(c_Option_Ooption_OSome(_u17329), hAPP(hAPP(c_List_Onth(_u17329), _u17330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17327)), _u17328))))) )).
% 12.21/12.47 cnf(matrix-7154, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17338), _u17340), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17342), c_List_Olist_ONil(_u17338))) != hAPP(hAPP(c_List_Oappend(_u17338), _u17344), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17346), c_List_Olist_ONil(_u17338)))) | ( _u17340 = _u17344) )).
% 12.21/12.47 cnf(matrix-7155, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17338), _u17340), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17342), c_List_Olist_ONil(_u17338))) != hAPP(hAPP(c_List_Oappend(_u17338), _u17344), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17346), c_List_Olist_ONil(_u17338)))) | ( _u17342 = _u17346) )).
% 12.21/12.47 cnf(matrix-7156, plain, ( ( _u17341 != _u17345) | ( _u17343 != _u17347) | ( hAPP(hAPP(c_List_Oappend(_u17339), _u17341), hAPP(hAPP(c_List_Olist_OCons(_u17339), _u17343), c_List_Olist_ONil(_u17339))) = hAPP(hAPP(c_List_Oappend(_u17339), _u17345), hAPP(hAPP(c_List_Olist_OCons(_u17339), _u17347), c_List_Olist_ONil(_u17339)))) )).
% 12.21/12.47 cnf(matrix-7157, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( _u17361 = c_List_Olist_ONil(_u17355)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)) = _u17361) )).
% 12.21/12.47 cnf(matrix-7158, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( _u17361 = c_List_Olist_ONil(_u17355)) | ( _u17359 = hAPP(hAPP(c_List_Oappend(_u17355), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)), _u17363)) )).
% 12.21/12.47 cnf(matrix-7159, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) = _u17363) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)) = _u17361) )).
% 12.21/12.47 cnf(matrix-7160, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) != hAPP(hAPP(c_List_Oappend(_u17355), _u17361), _u17363)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17355), _u17357), _u17359) = _u17363) | ( _u17359 = hAPP(hAPP(c_List_Oappend(_u17355), skolem436(_u17363, _u17361, _u17359, _u17357, _u17355)), _u17363)) )).
% 12.21/12.47 cnf(matrix-7161, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17360) = hAPP(hAPP(c_List_Oappend(_u17356), _u17362), _u17364)) | ( _u17362 != c_List_Olist_ONil(_u17356)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17360) != _u17364) )).
% 12.21/12.47 cnf(matrix-7162, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17360) = hAPP(hAPP(c_List_Oappend(_u17356), _u17362), _u17364)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17356), _u17358), _u17349) != _u17362) | ( _u17360 != hAPP(hAPP(c_List_Oappend(_u17356), _u17349), _u17364)) )).
% 12.21/12.47 cnf(matrix-7163, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17374 = c_List_Olist_ONil(_u17372)) | ( _u17374 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372))) )).
% 12.21/12.47 cnf(matrix-7164, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17374 = c_List_Olist_ONil(_u17372)) | ( hAPP(hAPP(c_List_Oappend(_u17372), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372)), _u17376) = _u17380) )).
% 12.21/12.47 cnf(matrix-7165, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17376 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17374 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372))) )).
% 12.21/12.47 cnf(matrix-7166, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17372), _u17374), _u17376) != hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( _u17376 = hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17378), _u17380)) | ( hAPP(hAPP(c_List_Oappend(_u17372), skolem437(_u17380, _u17378, _u17376, _u17374, _u17372)), _u17376) = _u17380) )).
% 12.21/12.47 cnf(matrix-7167, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17373), _u17375), _u17377) = hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17381)) | ( _u17375 != c_List_Olist_ONil(_u17373)) | ( _u17377 != hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17381)) )).
% 12.21/12.47 cnf(matrix-7168, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17373), _u17375), _u17377) = hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17381)) | ( _u17375 != hAPP(hAPP(c_List_Olist_OCons(_u17373), _u17379), _u17366)) | ( hAPP(hAPP(c_List_Oappend(_u17373), _u17366), _u17377) != _u17381) )).
% 12.21/12.47 cnf(matrix-7169, plain, ( ( _u17382 != _u17383) | ( _u17382 = hAPP(hAPP(c_List_Oappend(_u17384), c_List_Olist_ONil(_u17384)), _u17383)) )).
% 12.21/12.47 cnf(matrix-7170, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17388), _u17390), _u17392) != _u17392) | ( _u17390 = c_List_Olist_ONil(_u17388)) )).
% 12.21/12.47 cnf(matrix-7171, plain, ( ( _u17391 != c_List_Olist_ONil(_u17389)) | ( hAPP(hAPP(c_List_Oappend(_u17389), _u17391), _u17393) = _u17393) )).
% 12.21/12.47 cnf(matrix-7172, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17397), _u17399), _u17401) != _u17399) | ( _u17401 = c_List_Olist_ONil(_u17397)) )).
% 12.21/12.47 cnf(matrix-7173, plain, ( ( _u17402 != c_List_Olist_ONil(_u17398)) | ( hAPP(hAPP(c_List_Oappend(_u17398), _u17400), _u17402) = _u17400) )).
% 12.21/12.47 cnf(matrix-7174, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17406), _u17408), _u17410) != c_List_Olist_ONil(_u17406)) | ( _u17408 = c_List_Olist_ONil(_u17406)) )).
% 12.21/12.47 cnf(matrix-7175, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17406), _u17408), _u17410) != c_List_Olist_ONil(_u17406)) | ( _u17410 = c_List_Olist_ONil(_u17406)) )).
% 12.21/12.47 cnf(matrix-7176, plain, ( ( _u17409 != c_List_Olist_ONil(_u17407)) | ( _u17411 != c_List_Olist_ONil(_u17407)) | ( hAPP(hAPP(c_List_Oappend(_u17407), _u17409), _u17411) = c_List_Olist_ONil(_u17407)) )).
% 12.21/12.47 cnf(matrix-7177, plain, ( ( _u17419 = c_List_Olist_ONil(_u17417)) | ( _u17415 != hAPP(hAPP(c_List_Oappend(_u17417), _u17419), _u17415)) )).
% 12.21/12.47 cnf(matrix-7178, plain, ( ( _u17420 != c_List_Olist_ONil(_u17418)) | ( _u17416 = hAPP(hAPP(c_List_Oappend(_u17418), _u17420), _u17416)) )).
% 12.21/12.47 cnf(matrix-7179, plain, ( ( _u17428 = c_List_Olist_ONil(_u17426)) | ( _u17424 != hAPP(hAPP(c_List_Oappend(_u17426), _u17424), _u17428)) )).
% 12.21/12.47 cnf(matrix-7180, plain, ( ( _u17429 != c_List_Olist_ONil(_u17427)) | ( _u17425 = hAPP(hAPP(c_List_Oappend(_u17427), _u17425), _u17429)) )).
% 12.21/12.47 cnf(matrix-7181, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17430), _u17431), c_List_Olist_ONil(_u17430)) = _u17431) )).
% 12.21/12.47 cnf(matrix-7182, plain, ( ( c_List_Olist_ONil(_u17435) != hAPP(hAPP(c_List_Oappend(_u17435), _u17437), _u17439)) | ( _u17437 = c_List_Olist_ONil(_u17435)) )).
% 12.21/12.47 cnf(matrix-7183, plain, ( ( c_List_Olist_ONil(_u17435) != hAPP(hAPP(c_List_Oappend(_u17435), _u17437), _u17439)) | ( _u17439 = c_List_Olist_ONil(_u17435)) )).
% 12.21/12.47 cnf(matrix-7184, plain, ( ( _u17438 != c_List_Olist_ONil(_u17436)) | ( _u17440 != c_List_Olist_ONil(_u17436)) | ( c_List_Olist_ONil(_u17436) = hAPP(hAPP(c_List_Oappend(_u17436), _u17438), _u17440)) )).
% 12.21/12.47 cnf(matrix-7185, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17441), c_List_Olist_ONil(_u17441)), _u17442) = _u17442) )).
% 12.21/12.47 cnf(matrix-7186, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17443)), _u17444) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17445)), _u17446)) | ( c_Map_Omap__upds(_u17443, _u17445, _u17447, hAPP(hAPP(c_List_Oappend(_u17443), _u17444), _u17448), _u17446) = c_Map_Omap__upds(_u17443, _u17445, _u17447, _u17444, _u17446)) )).
% 12.21/12.47 cnf(matrix-7187, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17449)), _u17450) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17451)), _u17452)) | ( c_Map_Omap__upds(_u17449, _u17451, _u17453, _u17450, hAPP(hAPP(c_List_Oappend(_u17451), _u17452), _u17454)) = c_Map_Omap__upds(_u17449, _u17451, _u17453, _u17450, _u17452)) )).
% 12.21/12.47 cnf(matrix-7188, plain, ( ( hAPP(hAPP(c_List_Omap(_u17455, _u17456), _u17457), hAPP(hAPP(c_List_Oappend(_u17455), _u17458), _u17459)) = hAPP(hAPP(c_List_Oappend(_u17456), hAPP(hAPP(c_List_Omap(_u17455, _u17456), _u17457), _u17458)), hAPP(hAPP(c_List_Omap(_u17455, _u17456), _u17457), _u17459))) )).
% 12.21/12.47 cnf(matrix-7189, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17460)), hAPP(hAPP(c_List_Oappend(_u17460), _u17461), _u17462)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17460)), _u17461)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17460)), _u17462))) )).
% 12.21/12.47 cnf(matrix-7190, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17463)), _u17464) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17465)), _u17466)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17463)), _u17467) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17465)), _u17468)) | ( hAPP(hAPP(c_List_Ozip(_u17463, _u17465), hAPP(hAPP(c_List_Oappend(_u17463), _u17464), _u17467)), hAPP(hAPP(c_List_Oappend(_u17465), _u17466), _u17468)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17463, _u17465)), hAPP(hAPP(c_List_Ozip(_u17463, _u17465), _u17464), _u17466)), hAPP(hAPP(c_List_Ozip(_u17463, _u17465), _u17467), _u17468))) )).
% 12.21/12.47 cnf(matrix-7191, plain, ( ( hAPP(c_Map_Omap__of(_u17469, _u17470), hAPP(hAPP(c_List_Oappend(tc_prod(_u17469, _u17470)), _u17471), _u17472)) = c_Map_Omap__add(_u17469, _u17470, hAPP(c_Map_Omap__of(_u17469, _u17470), _u17472), hAPP(c_Map_Omap__of(_u17469, _u17470), _u17471))) )).
% 12.21/12.47 cnf(matrix-7192, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17473), hAPP(hAPP(c_List_Oappend(_u17473), _u17474), _u17475)), _u17476) = hAPP(hAPP(c_List_Oappend(_u17473), _u17474), hAPP(hAPP(c_List_Oappend(_u17473), _u17475), _u17476))) )).
% 12.21/12.47 cnf(matrix-7193, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( _u17490 = hAPP(hAPP(c_List_Oappend(_u17488), _u17494), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488))) | ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)) = _u17494) )).
% 12.21/12.47 cnf(matrix-7194, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( _u17490 = hAPP(hAPP(c_List_Oappend(_u17488), _u17494), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488))) | ( _u17492 = hAPP(hAPP(c_List_Oappend(_u17488), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17496)) )).
% 12.21/12.47 cnf(matrix-7195, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( hAPP(hAPP(c_List_Oappend(_u17488), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17492) = _u17496) | ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)) = _u17494) )).
% 12.21/12.47 cnf(matrix-7196, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17488), _u17490), _u17492) != hAPP(hAPP(c_List_Oappend(_u17488), _u17494), _u17496)) | ( hAPP(hAPP(c_List_Oappend(_u17488), skolem438(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17492) = _u17496) | ( _u17492 = hAPP(hAPP(c_List_Oappend(_u17488), skolem439(_u17496, _u17494, _u17492, _u17490, _u17488)), _u17496)) )).
% 12.21/12.47 cnf(matrix-7197, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17489), _u17491), _u17493) = hAPP(hAPP(c_List_Oappend(_u17489), _u17495), _u17497)) | ( _u17491 != hAPP(hAPP(c_List_Oappend(_u17489), _u17495), _u17486)) | ( hAPP(hAPP(c_List_Oappend(_u17489), _u17486), _u17493) != _u17497) )).
% 12.21/12.47 cnf(matrix-7198, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17489), _u17491), _u17493) = hAPP(hAPP(c_List_Oappend(_u17489), _u17495), _u17497)) | ( hAPP(hAPP(c_List_Oappend(_u17489), _u17491), _u17487) != _u17495) | ( _u17493 != hAPP(hAPP(c_List_Oappend(_u17489), _u17487), _u17497)) )).
% 12.21/12.47 cnf(matrix-7199, plain, ( ( _u17506 = _u17508) | ( hAPP(hAPP(c_List_Oappend(_u17502), _u17504), _u17506) != hAPP(hAPP(c_List_Oappend(_u17502), _u17504), _u17508)) )).
% 12.21/12.47 cnf(matrix-7200, plain, ( ( _u17507 != _u17509) | ( hAPP(hAPP(c_List_Oappend(_u17503), _u17505), _u17507) = hAPP(hAPP(c_List_Oappend(_u17503), _u17505), _u17509)) )).
% 12.21/12.47 cnf(matrix-7201, plain, ( ( _u17516 = _u17520) | ( hAPP(hAPP(c_List_Oappend(_u17514), _u17516), _u17518) != hAPP(hAPP(c_List_Oappend(_u17514), _u17520), _u17518)) )).
% 12.21/12.47 cnf(matrix-7202, plain, ( ( _u17517 != _u17521) | ( hAPP(hAPP(c_List_Oappend(_u17515), _u17517), _u17519) = hAPP(hAPP(c_List_Oappend(_u17515), _u17521), _u17519)) )).
% 12.21/12.47 cnf(matrix-7203, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17522), _u17523), _u17524) != _u17525) | ( _u17526 != hAPP(hAPP(c_List_Oappend(_u17522), _u17524), _u17527)) | ( hAPP(hAPP(c_List_Oappend(_u17522), _u17523), _u17526) = hAPP(hAPP(c_List_Oappend(_u17522), _u17525), _u17527)) )).
% 12.21/12.47 cnf(matrix-7204, plain, ( ( c_List_Ofoldr(_u17528, _u17529, _u17530, hAPP(hAPP(c_List_Oappend(_u17528), _u17531), _u17532), _u17533) = c_List_Ofoldr(_u17528, _u17529, _u17530, _u17531, c_List_Ofoldr(_u17528, _u17529, _u17530, _u17532, _u17533))) )).
% 12.21/12.47 cnf(matrix-7205, plain, ( ~class_Groups_Omonoid__add(_u17534) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17534), hAPP(hAPP(c_List_Oappend(_u17534), _u17535), _u17536)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17534), hAPP(c_List_Omonoid__add__class_Olistsum(_u17534), _u17535)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17534), _u17536))) )).
% 12.21/12.47 cnf(matrix-7206, plain, ( ( hAPP(c_List_Oset(_u17537), hAPP(hAPP(c_List_Oappend(_u17537), _u17538), _u17539)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17537, tc_HOL_Obool)), hAPP(c_List_Oset(_u17537), _u17538)), hAPP(c_List_Oset(_u17537), _u17539))) )).
% 12.21/12.47 cnf(matrix-7207, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), hAPP(hAPP(c_List_Oappend(_u17544), _u17546), _u17548)), c_List_Olists(_u17544, _u17550))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), _u17546), c_List_Olists(_u17544, _u17550))) )).
% 12.21/12.47 cnf(matrix-7208, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), hAPP(hAPP(c_List_Oappend(_u17544), _u17546), _u17548)), c_List_Olists(_u17544, _u17550))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17544)), _u17548), c_List_Olists(_u17544, _u17550))) )).
% 12.21/12.47 cnf(matrix-7209, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17545)), _u17547), c_List_Olists(_u17545, _u17551))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17545)), _u17549), c_List_Olists(_u17545, _u17551))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17545)), hAPP(hAPP(c_List_Oappend(_u17545), _u17547), _u17549)), c_List_Olists(_u17545, _u17551))) )).
% 12.21/12.47 cnf(matrix-7210, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17552), _u17553), _u17554) != _u17555) | ( _u17556 != hAPP(hAPP(c_List_Oappend(_u17552), _u17554), _u17557)) | ( hAPP(hAPP(c_List_Olist_OCons(_u17552), _u17553), _u17556) = hAPP(hAPP(c_List_Oappend(_u17552), _u17555), _u17557)) )).
% 12.21/12.47 cnf(matrix-7211, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17558), hAPP(hAPP(c_List_Olist_OCons(_u17558), _u17559), _u17560)), _u17561) = hAPP(hAPP(c_List_Olist_OCons(_u17558), _u17559), hAPP(hAPP(c_List_Oappend(_u17558), _u17560), _u17561))) )).
% 12.21/12.47 cnf(matrix-7212, plain, ( ( c_Enum_Osublists(_u17562, hAPP(hAPP(c_List_Olist_OCons(_u17562), _u17563), _u17564)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562))), c_Enum_Osublists(_u17562, _u17564)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17562)), tc_fun(tc_List_Olist(tc_List_Olist(_u17562)), tc_List_Olist(tc_List_Olist(_u17562))), tc_List_Olist(tc_List_Olist(_u17562))), c_List_Oappend(tc_List_Olist(_u17562))), hAPP(c_List_Omap(tc_List_Olist(_u17562), tc_List_Olist(_u17562)), hAPP(c_List_Olist_OCons(_u17562), _u17563)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17562)))))) )).
% 12.21/12.47 cnf(matrix-7213, plain, ( ( hAPP(hAPP(c_List_Onth(_u17565), hAPP(hAPP(c_List_Oappend(_u17565), _u17566), hAPP(hAPP(c_List_Olist_OCons(_u17565), _u17567), _u17568))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17565)), _u17566)) = _u17567) )).
% 12.21/12.47 cnf(matrix-7214, plain, ( ( hAPP(hAPP(c_List_Onth(_u17569), hAPP(hAPP(c_List_Oappend(_u17569), _u17570), _u17571)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17569)), _u17570)), _u17572)) = hAPP(hAPP(c_List_Onth(_u17569), _u17571), _u17572)) )).
% 12.21/12.47 cnf(matrix-7215, plain, ( ( hAPP(hAPP(c_List_Otake(_u17573), _u17574), hAPP(hAPP(c_List_Oappend(_u17573), _u17575), _u17576)) = hAPP(hAPP(c_List_Oappend(_u17573), hAPP(hAPP(c_List_Otake(_u17573), _u17574), _u17575)), hAPP(hAPP(c_List_Otake(_u17573), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17574), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), _u17575))), _u17576))) )).
% 12.21/12.47 cnf(matrix-7216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17577), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579))) | ( hAPP(hAPP(c_List_Olist__update(_u17578, hAPP(hAPP(c_List_Oappend(_u17578), _u17579), _u17580)), _u17577), _u17581) = hAPP(hAPP(c_List_Oappend(_u17578), hAPP(hAPP(c_List_Olist__update(_u17578, _u17579), _u17577), _u17581)), _u17580)) )).
% 12.21/12.47 cnf(matrix-7217, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u17582, hAPP(hAPP(c_List_Oappend(_u17582), _u17583), hAPP(hAPP(c_List_Olist_OCons(_u17582), _u17584), _u17585))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17582)), _u17583)), _u17586) = hAPP(hAPP(c_List_Oappend(_u17582), _u17583), hAPP(hAPP(c_List_Olist_OCons(_u17582), _u17586), _u17585))) )).
% 12.21/12.47 cnf(matrix-7218, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), hAPP(hAPP(c_List_Oappend(_u17587), _u17588), _u17591)), hAPP(hAPP(c_List_Oappend(_u17587), _u17589), _u17592))), c_List_Olistrel1(_u17587, _u17590))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), _u17588), _u17589)), c_List_Olistrel1(_u17587, _u17590))) | ( _u17591 != _u17592) )).
% 12.21/12.47 cnf(matrix-7219, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), hAPP(hAPP(c_List_Oappend(_u17587), _u17588), _u17591)), hAPP(hAPP(c_List_Oappend(_u17587), _u17589), _u17592))), c_List_Olistrel1(_u17587, _u17590))) | ( _u17588 != _u17589) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17587), tc_List_Olist(_u17587))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17587), tc_List_Olist(_u17587)), _u17591), _u17592)), c_List_Olistrel1(_u17587, _u17590))) )).
% 12.21/12.47 cnf(matrix-7220, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17593), tc_List_Olist(_u17593))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17593), tc_List_Olist(_u17593)), _u17594), _u17595)), c_List_Olexord(_u17593, _u17596))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17593), tc_List_Olist(_u17593))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17593), tc_List_Olist(_u17593)), hAPP(hAPP(c_List_Oappend(_u17593), _u17597), _u17594)), hAPP(hAPP(c_List_Oappend(_u17593), _u17597), _u17595))), c_List_Olexord(_u17593, _u17596))) )).
% 12.21/12.47 cnf(matrix-7221, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), hAPP(hAPP(c_List_Oappend(_u17601), _u17603), _u17605))) | hBOOL(hAPP(c_List_Odistinct(_u17601), _u17603)) )).
% 12.21/12.47 cnf(matrix-7222, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), hAPP(hAPP(c_List_Oappend(_u17601), _u17603), _u17605))) | hBOOL(hAPP(c_List_Odistinct(_u17601), _u17605)) )).
% 12.21/12.47 cnf(matrix-7223, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17601), hAPP(hAPP(c_List_Oappend(_u17601), _u17603), _u17605))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17601, tc_HOL_Obool)), hAPP(c_List_Oset(_u17601), _u17603)), hAPP(c_List_Oset(_u17601), _u17605)) = c_Orderings_Obot__class_Obot(tc_fun(_u17601, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7224, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17602), _u17604)) | ~hBOOL(hAPP(c_List_Odistinct(_u17602), _u17606)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17602, tc_HOL_Obool)), hAPP(c_List_Oset(_u17602), _u17604)), hAPP(c_List_Oset(_u17602), _u17606)) != c_Orderings_Obot__class_Obot(tc_fun(_u17602, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u17602), hAPP(hAPP(c_List_Oappend(_u17602), _u17604), _u17606))) )).
% 12.21/12.47 cnf(matrix-7225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17611), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17613)), _u17615))) | ( hAPP(hAPP(c_List_Onth(_u17613), hAPP(hAPP(c_List_Oappend(_u17613), _u17615), _u17617)), _u17611) = hAPP(hAPP(c_List_Onth(_u17613), _u17615), _u17611)) )).
% 12.21/12.47 cnf(matrix-7226, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17612), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17614)), _u17616))) | ( hAPP(hAPP(c_List_Onth(_u17614), hAPP(hAPP(c_List_Oappend(_u17614), _u17616), _u17618)), _u17612) = hAPP(hAPP(c_List_Onth(_u17614), _u17618), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17612), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17614)), _u17616)))) )).
% 12.21/12.47 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17624), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17626)), _u17628))) | ( hAPP(hAPP(c_List_Olist__update(_u17626, hAPP(hAPP(c_List_Oappend(_u17626), _u17628), _u17630)), _u17624), _u17632) = hAPP(hAPP(c_List_Oappend(_u17626), hAPP(hAPP(c_List_Olist__update(_u17626, _u17628), _u17624), _u17632)), _u17630)) )).
% 12.21/12.47 cnf(matrix-7228, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17627)), _u17629))) | ( hAPP(hAPP(c_List_Olist__update(_u17627, hAPP(hAPP(c_List_Oappend(_u17627), _u17629), _u17631)), _u17625), _u17633) = hAPP(hAPP(c_List_Oappend(_u17627), _u17629), hAPP(hAPP(c_List_Olist__update(_u17627, _u17631), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17627)), _u17629))), _u17633))) )).
% 12.21/12.47 cnf(matrix-7229, plain, ( ( c_Enum_Oproduct(_u17634, _u17635, hAPP(hAPP(c_List_Olist_OCons(_u17634), _u17636), _u17637), _u17638) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17634, _u17635)), hAPP(hAPP(c_List_Omap(_u17635, tc_prod(_u17634, _u17635)), hAPP(c_Product__Type_OPair(_u17634, _u17635), _u17636)), _u17638)), c_Enum_Oproduct(_u17634, _u17635, _u17637, _u17638))) )).
% 12.21/12.47 cnf(matrix-7230, plain, ( ( c_List_Osublist(_u17639, hAPP(hAPP(c_List_Oappend(_u17639), _u17640), _u17641), _u17642) = hAPP(hAPP(c_List_Oappend(_u17639), c_List_Osublist(_u17639, _u17640, _u17642)), c_List_Osublist(_u17639, _u17641, 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(_u17639)), _u17640)))), _u17642))))) )).
% 12.21/12.47 cnf(matrix-7231, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17643, _u17643)), hAPP(hAPP(c_Product__Type_OPair(_u17643, _u17643), _u17644), _u17645)), _u17646)) | ( _u17647 != hAPP(hAPP(c_List_Oappend(_u17643), _u17648), hAPP(hAPP(c_List_Olist_OCons(_u17643), _u17644), _u17649))) | ( _u17650 != hAPP(hAPP(c_List_Oappend(_u17643), _u17648), hAPP(hAPP(c_List_Olist_OCons(_u17643), _u17645), _u17649))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17643), tc_List_Olist(_u17643))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17643), tc_List_Olist(_u17643)), _u17647), _u17650)), c_List_Olistrel1(_u17643, _u17646))) )).
% 12.21/12.47 cnf(matrix-7232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17651, _u17651)), hAPP(hAPP(c_Product__Type_OPair(_u17651, _u17651), _u17652), _u17653)), _u17654)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17651), tc_List_Olist(_u17651))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17651), tc_List_Olist(_u17651)), hAPP(hAPP(c_List_Oappend(_u17651), _u17655), hAPP(hAPP(c_List_Olist_OCons(_u17651), _u17652), _u17656))), hAPP(hAPP(c_List_Oappend(_u17651), _u17655), hAPP(hAPP(c_List_Olist_OCons(_u17651), _u17653), _u17657)))), c_List_Olexord(_u17651, _u17654))) )).
% 12.21/12.47 cnf(matrix-7233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17658), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17659)), _u17660))) | ( hAPP(hAPP(c_List_Otake(_u17659), hAPP(c_Nat_OSuc, _u17658)), _u17660) = hAPP(hAPP(c_List_Oappend(_u17659), hAPP(hAPP(c_List_Otake(_u17659), _u17658), _u17660)), hAPP(hAPP(c_List_Olist_OCons(_u17659), hAPP(hAPP(c_List_Onth(_u17659), _u17660), _u17658)), c_List_Olist_ONil(_u17659)))) )).
% 12.21/12.47 cnf(matrix-7234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), _u17669), _u17673)), c_List_Olistrel1(_u17667, _u17677))) | ( _u17669 = _u17673) )).
% 12.21/12.47 cnf(matrix-7235, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), _u17669), _u17673)), c_List_Olistrel1(_u17667, _u17677))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17667, _u17667)), hAPP(hAPP(c_Product__Type_OPair(_u17667, _u17667), _u17671), _u17675)), _u17677)) )).
% 12.21/12.47 cnf(matrix-7236, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | ( _u17671 = _u17675) | ( _u17669 = _u17673) )).
% 12.21/12.47 cnf(matrix-7237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17667), tc_List_Olist(_u17667))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17667), tc_List_Olist(_u17667)), hAPP(hAPP(c_List_Oappend(_u17667), _u17669), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17671), c_List_Olist_ONil(_u17667)))), hAPP(hAPP(c_List_Oappend(_u17667), _u17673), hAPP(hAPP(c_List_Olist_OCons(_u17667), _u17675), c_List_Olist_ONil(_u17667))))), c_List_Olistrel1(_u17667, _u17677))) | ( _u17671 = _u17675) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17667, _u17667)), hAPP(hAPP(c_Product__Type_OPair(_u17667, _u17667), _u17671), _u17675)), _u17677)) )).
% 12.21/12.47 cnf(matrix-7238, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17668), tc_List_Olist(_u17668))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17668), tc_List_Olist(_u17668)), hAPP(hAPP(c_List_Oappend(_u17668), _u17670), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17672), c_List_Olist_ONil(_u17668)))), hAPP(hAPP(c_List_Oappend(_u17668), _u17674), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17676), c_List_Olist_ONil(_u17668))))), c_List_Olistrel1(_u17668, _u17678))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17668), tc_List_Olist(_u17668))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17668), tc_List_Olist(_u17668)), _u17670), _u17674)), c_List_Olistrel1(_u17668, _u17678))) | ( _u17672 != _u17676) )).
% 12.21/12.47 cnf(matrix-7239, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17668), tc_List_Olist(_u17668))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17668), tc_List_Olist(_u17668)), hAPP(hAPP(c_List_Oappend(_u17668), _u17670), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17672), c_List_Olist_ONil(_u17668)))), hAPP(hAPP(c_List_Oappend(_u17668), _u17674), hAPP(hAPP(c_List_Olist_OCons(_u17668), _u17676), c_List_Olist_ONil(_u17668))))), c_List_Olistrel1(_u17668, _u17678))) | ( _u17670 != _u17674) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17668, _u17668)), hAPP(hAPP(c_Product__Type_OPair(_u17668, _u17668), _u17672), _u17676)), _u17678)) )).
% 12.21/12.47 cnf(matrix-7240, plain, ( ( c_List_Osublist(_u17679, hAPP(hAPP(c_List_Olist_OCons(_u17679), _u17680), _u17681), _u17682) = hAPP(hAPP(c_List_Oappend(_u17679), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u17679)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17682)), hAPP(hAPP(c_List_Olist_OCons(_u17679), _u17680), c_List_Olist_ONil(_u17679))), c_List_Olist_ONil(_u17679))), c_List_Osublist(_u17679, _u17681, 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)), _u17682))))) )).
% 12.21/12.47 cnf(matrix-7241, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17687), tc_List_Olist(_u17687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17687), tc_List_Olist(_u17687)), _u17688), _u17689)), c_List_Olistrel1(_u17687, _u17690))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17687, _u17687)), hAPP(hAPP(c_Product__Type_OPair(_u17687, _u17687), skolem440(_u17690, _u17689, _u17688, _u17687)), skolem441(_u17690, _u17689, _u17688, _u17687))), _u17690)) )).
% 12.21/12.47 cnf(matrix-7242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17687), tc_List_Olist(_u17687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17687), tc_List_Olist(_u17687)), _u17688), _u17689)), c_List_Olistrel1(_u17687, _u17690))) | ( _u17688 = hAPP(hAPP(c_List_Oappend(_u17687), skolem442(_u17690, _u17689, _u17688, _u17687)), hAPP(hAPP(c_List_Olist_OCons(_u17687), skolem440(_u17690, _u17689, _u17688, _u17687)), skolem443(_u17690, _u17689, _u17688, _u17687)))) )).
% 12.21/12.47 cnf(matrix-7243, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17687), tc_List_Olist(_u17687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17687), tc_List_Olist(_u17687)), _u17688), _u17689)), c_List_Olistrel1(_u17687, _u17690))) | ( _u17689 = hAPP(hAPP(c_List_Oappend(_u17687), skolem442(_u17690, _u17689, _u17688, _u17687)), hAPP(hAPP(c_List_Olist_OCons(_u17687), skolem441(_u17690, _u17689, _u17688, _u17687)), skolem443(_u17690, _u17689, _u17688, _u17687)))) )).
% 12.21/12.47 cnf(matrix-7244, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17692), tc_List_Olist(_u17692))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17692), tc_List_Olist(_u17692)), hAPP(hAPP(c_List_Oappend(_u17692), _u17693), _u17694)), hAPP(hAPP(c_List_Oappend(_u17692), _u17693), _u17695))), c_List_Olexord(_u17692, _u17696))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17692, _u17692)), hAPP(hAPP(c_Product__Type_OPair(_u17692, _u17692), skolem444(_u17696, _u17695, _u17694, _u17693, _u17692)), skolem444(_u17696, _u17695, _u17694, _u17693, _u17692))), _u17696)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17692), tc_List_Olist(_u17692))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17692), tc_List_Olist(_u17692)), _u17694), _u17695)), c_List_Olexord(_u17692, _u17696))) )).
% 12.21/12.47 cnf(matrix-7245, plain, ( ( hAPP(c_List_Orotate1(_u17697), _u17698) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17697), _u17697, c_List_Olist_ONil(_u17697), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17697), tc_fun(tc_List_Olist(_u17697), tc_List_Olist(_u17697)), _u17697), hAPP(c_COMBC(tc_List_Olist(_u17697), tc_List_Olist(_u17697), tc_List_Olist(_u17697)), c_List_Oappend(_u17697))), hAPP(hAPP(c_COMBC(_u17697, tc_List_Olist(_u17697), tc_List_Olist(_u17697)), c_List_Olist_OCons(_u17697)), c_List_Olist_ONil(_u17697)))), _u17698)) )).
% 12.21/12.47 cnf(matrix-7246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17699), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17700)), _u17701))) | ( hAPP(hAPP(c_List_Olist__update(_u17700, _u17701), _u17699), _u17702) = hAPP(hAPP(c_List_Oappend(_u17700), hAPP(hAPP(c_List_Otake(_u17700), _u17699), _u17701)), hAPP(hAPP(c_List_Olist_OCons(_u17700), _u17702), hAPP(hAPP(c_List_Odrop(_u17700), hAPP(c_Nat_OSuc, _u17699)), _u17701)))) )).
% 12.21/12.47 cnf(matrix-7247, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17703), hAPP(hAPP(c_List_Otake(_u17703), _u17704), _u17705)), hAPP(hAPP(c_List_Odrop(_u17703), _u17704), _u17705)) = _u17705) )).
% 12.21/12.47 cnf(matrix-7248, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17706), _u17707), hAPP(hAPP(c_List_Omap(_u17708, _u17706), _u17709), _u17710)) = hAPP(hAPP(c_List_Omap(_u17708, _u17706), _u17709), hAPP(hAPP(c_List_Odrop(_u17708), _u17707), _u17710))) )).
% 12.21/12.47 cnf(matrix-7249, plain, ( ( hAPP(c_List_Orotate1(_u17713), _u17715) != c_List_Olist_ONil(_u17713)) | ( _u17715 = c_List_Olist_ONil(_u17713)) )).
% 12.21/12.47 cnf(matrix-7250, plain, ( ( _u17716 != c_List_Olist_ONil(_u17714)) | ( hAPP(c_List_Orotate1(_u17714), _u17716) = c_List_Olist_ONil(_u17714)) )).
% 12.21/12.47 cnf(matrix-7251, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17717), _u17718), c_List_Olist_ONil(_u17717)) = c_List_Olist_ONil(_u17717)) )).
% 12.21/12.47 cnf(matrix-7252, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17719, tc_HOL_Obool)), hAPP(c_List_Oset(_u17719), hAPP(hAPP(c_List_Odrop(_u17719), _u17720), _u17721))), hAPP(c_List_Oset(_u17719), _u17721))) )).
% 12.21/12.47 cnf(matrix-7253, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17722)), hAPP(c_List_Orotate1(_u17722), _u17723)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17722)), _u17723)) )).
% 12.21/12.47 cnf(matrix-7254, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), hAPP(hAPP(c_List_Odrop(_u17724), _u17725), _u17726)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), _u17726)), _u17725)) )).
% 12.21/12.47 cnf(matrix-7255, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17729), hAPP(c_List_Orotate1(_u17729), _u17731))) | hBOOL(hAPP(c_List_Odistinct(_u17729), _u17731)) )).
% 12.21/12.47 cnf(matrix-7256, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17730), _u17732)) | hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(c_List_Orotate1(_u17730), _u17732))) )).
% 12.21/12.47 cnf(matrix-7257, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17733), _u17734)) | hBOOL(hAPP(c_List_Odistinct(_u17733), hAPP(hAPP(c_List_Odrop(_u17733), _u17735), _u17734))) )).
% 12.21/12.47 cnf(matrix-7258, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17736), _u17737), hAPP(hAPP(c_List_Odrop(_u17736), _u17738), _u17739)) = hAPP(hAPP(c_List_Odrop(_u17736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17737), _u17738)), _u17739)) )).
% 12.21/12.47 cnf(matrix-7259, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17740), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17741) = _u17741) )).
% 12.21/12.47 cnf(matrix-7260, plain, ( ( hAPP(c_List_Oset(_u17742), hAPP(c_List_Orotate1(_u17742), _u17743)) = hAPP(c_List_Oset(_u17742), _u17743)) )).
% 12.21/12.47 cnf(matrix-7261, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17744), _u17745), hAPP(c_List_Oset(_u17744), hAPP(hAPP(c_List_Odrop(_u17744), _u17746), _u17747)))) | hBOOL(hAPP(hAPP(c_member(_u17744), _u17745), hAPP(c_List_Oset(_u17744), _u17747))) )).
% 12.21/12.47 cnf(matrix-7262, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u17748, _u17749)), _u17750), hAPP(hAPP(c_List_Ozip(_u17748, _u17749), _u17751), _u17752)) = hAPP(hAPP(c_List_Ozip(_u17748, _u17749), hAPP(hAPP(c_List_Odrop(_u17748), _u17750), _u17751)), hAPP(hAPP(c_List_Odrop(_u17749), _u17750), _u17752))) )).
% 12.21/12.47 cnf(matrix-7263, plain, ( ( hAPP(hAPP(c_List_Otake(_u17753), _u17754), hAPP(hAPP(c_List_Odrop(_u17753), _u17755), _u17756)) = hAPP(hAPP(c_List_Odrop(_u17753), _u17755), hAPP(hAPP(c_List_Otake(_u17753), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17754), _u17755)), _u17756))) )).
% 12.21/12.47 cnf(matrix-7264, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17757), _u17758), hAPP(hAPP(c_List_Otake(_u17757), _u17759), _u17760)) = hAPP(hAPP(c_List_Otake(_u17757), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17759), _u17758)), hAPP(hAPP(c_List_Odrop(_u17757), _u17758), _u17760))) )).
% 12.21/12.47 cnf(matrix-7265, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17761), _u17762), _u17763) != hAPP(hAPP(c_List_Olist_OCons(_u17761), _u17764), _u17765)) | ( hAPP(hAPP(c_List_Onth(_u17761), _u17763), _u17762) = _u17764) )).
% 12.21/12.47 cnf(matrix-7266, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17766), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u17766), _u17767), _u17768)) = _u17768) )).
% 12.21/12.47 cnf(matrix-7267, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17769), hAPP(c_Nat_OSuc, _u17770)), hAPP(hAPP(c_List_Olist_OCons(_u17769), _u17771), _u17772)) = hAPP(hAPP(c_List_Odrop(_u17769), _u17770), _u17772)) )).
% 12.21/12.47 cnf(matrix-7268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17773), _u17774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17775, tc_HOL_Obool)), hAPP(c_List_Oset(_u17775), hAPP(hAPP(c_List_Odrop(_u17775), _u17774), _u17776))), hAPP(c_List_Oset(_u17775), hAPP(hAPP(c_List_Odrop(_u17775), _u17773), _u17776)))) )).
% 12.21/12.47 cnf(matrix-7269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17777)), _u17778)), _u17779)) | ( hAPP(hAPP(c_List_Odrop(_u17777), _u17779), _u17778) = c_List_Olist_ONil(_u17777)) )).
% 12.21/12.47 cnf(matrix-7270, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17783), _u17785), _u17787) != c_List_Olist_ONil(_u17783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17783)), _u17787)), _u17785)) )).
% 12.21/12.47 cnf(matrix-7271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17784)), _u17788)), _u17786)) | ( hAPP(hAPP(c_List_Odrop(_u17784), _u17786), _u17788) = c_List_Olist_ONil(_u17784)) )).
% 12.21/12.47 cnf(matrix-7272, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17789), _u17790), hAPP(hAPP(c_List_Oappend(_u17789), _u17791), _u17792)) = hAPP(hAPP(c_List_Oappend(_u17789), hAPP(hAPP(c_List_Odrop(_u17789), _u17790), _u17791)), hAPP(hAPP(c_List_Odrop(_u17789), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17790), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17789)), _u17791))), _u17792))) )).
% 12.21/12.47 cnf(matrix-7273, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17797), _u17799), _u17801) != _u17803) | ( _u17799 = hAPP(hAPP(c_List_Otake(_u17797), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17797)), _u17799)), _u17803)) )).
% 12.21/12.47 cnf(matrix-7274, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17797), _u17799), _u17801) != _u17803) | ( _u17801 = hAPP(hAPP(c_List_Odrop(_u17797), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17797)), _u17799)), _u17803)) )).
% 12.21/12.47 cnf(matrix-7275, plain, ( ( _u17800 != hAPP(hAPP(c_List_Otake(_u17798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), _u17800)), _u17804)) | ( _u17802 != hAPP(hAPP(c_List_Odrop(_u17798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), _u17800)), _u17804)) | ( hAPP(hAPP(c_List_Oappend(_u17798), _u17800), _u17802) = _u17804) )).
% 12.21/12.47 cnf(matrix-7276, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17805), _u17806), hAPP(hAPP(c_List_Olist_OCons(_u17805), _u17807), _u17808)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17805), hAPP(hAPP(c_List_Olist_OCons(_u17805), _u17807), _u17808), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17805), tc_List_Olist(_u17805)), c_List_Odrop(_u17805)), _u17808), _u17806)) )).
% 12.21/12.47 cnf(matrix-7277, plain, ( ( _u17813 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17815), _u17813), hAPP(hAPP(c_List_Olist_OCons(_u17815), _u17817), _u17819)) = hAPP(hAPP(c_List_Olist_OCons(_u17815), _u17817), _u17819)) )).
% 12.21/12.47 cnf(matrix-7278, plain, ( ( _u17814 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17816), _u17814), hAPP(hAPP(c_List_Olist_OCons(_u17816), _u17818), _u17820)) = hAPP(hAPP(c_List_Odrop(_u17816), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17814), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17820)) )).
% 12.21/12.47 cnf(matrix-7279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17821), _u17822)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17823)), _u17824))) | ( hAPP(hAPP(c_List_Onth(_u17823), hAPP(hAPP(c_List_Odrop(_u17823), _u17821), _u17824)), _u17822) = hAPP(hAPP(c_List_Onth(_u17823), _u17824), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17821), _u17822))) )).
% 12.21/12.47 cnf(matrix-7280, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( _u17832 = hAPP(hAPP(c_List_Otake(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), _u17836)) )).
% 12.21/12.47 cnf(matrix-7281, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( _u17834 = hAPP(hAPP(c_List_Oappend(_u17830), hAPP(hAPP(c_List_Odrop(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), _u17836)), _u17838)) )).
% 12.21/12.47 cnf(matrix-7282, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( hAPP(hAPP(c_List_Otake(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836)), _u17832) = _u17836) )).
% 12.21/12.47 cnf(matrix-7283, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17830), _u17832), _u17834) != hAPP(hAPP(c_List_Oappend(_u17830), _u17836), _u17838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836))) | ( hAPP(hAPP(c_List_Oappend(_u17830), hAPP(hAPP(c_List_Odrop(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17830)), _u17836)), _u17832)), _u17834) = _u17838) )).
% 12.21/12.47 cnf(matrix-7284, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17831), _u17833), _u17835) = hAPP(hAPP(c_List_Oappend(_u17831), _u17837), _u17839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837))) | ( hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833) != _u17837) | ( hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833)), _u17835) != _u17839) )).
% 12.21/12.47 cnf(matrix-7285, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17831), _u17833), _u17835) = hAPP(hAPP(c_List_Oappend(_u17831), _u17837), _u17839)) | ( _u17833 != hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)) | ( _u17835 != hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)), _u17839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837))) )).
% 12.21/12.47 cnf(matrix-7286, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17831), _u17833), _u17835) = hAPP(hAPP(c_List_Oappend(_u17831), _u17837), _u17839)) | ( _u17833 != hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)) | ( _u17835 != hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833)), _u17837)), _u17839)) | ( hAPP(hAPP(c_List_Otake(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833) != _u17837) | ( hAPP(hAPP(c_List_Oappend(_u17831), hAPP(hAPP(c_List_Odrop(_u17831), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17837)), _u17833)), _u17835) != _u17839) )).
% 12.21/12.47 cnf(matrix-7287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17840), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17841)), _u17842))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17841), hAPP(hAPP(c_List_Onth(_u17841), _u17842), _u17840)), hAPP(hAPP(c_List_Odrop(_u17841), hAPP(c_Nat_OSuc, _u17840)), _u17842)) = hAPP(hAPP(c_List_Odrop(_u17841), _u17840), _u17842)) )).
% 12.21/12.47 cnf(matrix-7288, plain, ( ( hAPP(c_List_Orotate1(_u17843), c_List_Olist_ONil(_u17843)) = c_List_Olist_ONil(_u17843)) )).
% 12.21/12.47 cnf(matrix-7289, plain, ( ( hAPP(c_List_Orotate1(_u17844), hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17845), _u17846)) = hAPP(hAPP(c_List_Oappend(_u17844), _u17846), hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17845), c_List_Olist_ONil(_u17844)))) )).
% 12.21/12.47 cnf(matrix-7290, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17851) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17853), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17851)), hAPP(hAPP(c_List_Olist_OCons(_u17853), _u17855), _u17857)) = hAPP(hAPP(c_List_Olist_OCons(_u17853), _u17855), _u17857)) )).
% 12.21/12.47 cnf(matrix-7291, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17852) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17854), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17852)), hAPP(hAPP(c_List_Olist_OCons(_u17854), _u17856), _u17858)) = hAPP(hAPP(c_List_Odrop(_u17854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17852)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17858)) )).
% 12.21/12.47 cnf(matrix-7292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17859), _u17860)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)), _u17862))) | ( hAPP(hAPP(c_List_Otake(_u17861), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17859), _u17860)), _u17862) = hAPP(hAPP(c_List_Oappend(_u17861), hAPP(hAPP(c_List_Otake(_u17861), _u17859), _u17862)), hAPP(hAPP(c_List_Otake(_u17861), _u17860), hAPP(hAPP(c_List_Odrop(_u17861), _u17859), _u17862)))) )).
% 12.21/12.47 cnf(matrix-7293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17863)), _u17864)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u17863), _u17864) = _u17864) )).
% 12.21/12.47 cnf(matrix-7294, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17865, _u17866), _u17867), hAPP(hAPP(c_List_Oappend(_u17866), _u17868), _u17869)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17865, _u17866)), hAPP(hAPP(c_List_Ozip(_u17865, _u17866), hAPP(hAPP(c_List_Otake(_u17865), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17866)), _u17868)), _u17867)), _u17868)), hAPP(hAPP(c_List_Ozip(_u17865, _u17866), hAPP(hAPP(c_List_Odrop(_u17865), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17866)), _u17868)), _u17867)), _u17869))) )).
% 12.21/12.47 cnf(matrix-7295, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17870, _u17871), hAPP(hAPP(c_List_Oappend(_u17870), _u17872), _u17873)), _u17874) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17870, _u17871)), hAPP(hAPP(c_List_Ozip(_u17870, _u17871), _u17872), hAPP(hAPP(c_List_Otake(_u17871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17870)), _u17872)), _u17874))), hAPP(hAPP(c_List_Ozip(_u17870, _u17871), _u17873), hAPP(hAPP(c_List_Odrop(_u17871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17870)), _u17872)), _u17874)))) )).
% 12.21/12.47 cnf(matrix-7296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17875), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17876)), _u17877))) | ( _u17877 = hAPP(hAPP(c_List_Oappend(_u17876), hAPP(hAPP(c_List_Otake(_u17876), _u17875), _u17877)), hAPP(hAPP(c_List_Olist_OCons(_u17876), hAPP(hAPP(c_List_Onth(_u17876), _u17877), _u17875)), hAPP(hAPP(c_List_Odrop(_u17876), hAPP(c_Nat_OSuc, _u17875)), _u17877)))) )).
% 12.21/12.47 cnf(matrix-7297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17879)), _u17880))) | ( hAPP(hAPP(c_List_Oappend(_u17879), hAPP(hAPP(c_List_Otake(_u17879), _u17878), _u17880)), hAPP(hAPP(c_List_Olist_OCons(_u17879), hAPP(c_List_Ohd(_u17879), hAPP(hAPP(c_List_Odrop(_u17879), _u17878), _u17880))), c_List_Olist_ONil(_u17879))) = hAPP(hAPP(c_List_Otake(_u17879), hAPP(c_Nat_OSuc, _u17878)), _u17880)) )).
% 12.21/12.47 cnf(matrix-7298, plain, ( ( _u17881 = c_List_Olist_ONil(_u17882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17883), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17882)), _u17881))) | ( hAPP(c_List_Ohd(_u17882), hAPP(hAPP(c_List_Odrop(_u17882), _u17883), _u17881)) = hAPP(hAPP(c_List_Onth(_u17882), _u17881), _u17883)) )).
% 12.21/12.47 cnf(matrix-7299, plain, ( ( hAPP(c_List_Ohd(_u17884), hAPP(hAPP(c_List_Olist_OCons(_u17884), _u17885), _u17886)) = _u17885) )).
% 12.21/12.47 cnf(matrix-7300, plain, ( ( _u17887 = c_List_Olist_ONil(_u17888)) | ( hAPP(c_List_Ohd(_u17889), hAPP(hAPP(c_List_Omap(_u17888, _u17889), _u17890), _u17887)) = hAPP(_u17890, hAPP(c_List_Ohd(_u17888), _u17887))) )).
% 12.21/12.47 cnf(matrix-7301, plain, ( ( _u17894 != c_List_Olist_ONil(_u17896)) | ( hAPP(c_List_Ohd(_u17896), hAPP(hAPP(c_List_Oappend(_u17896), _u17894), _u17898)) = hAPP(c_List_Ohd(_u17896), _u17898)) )).
% 12.21/12.47 cnf(matrix-7302, plain, ( ( _u17895 = c_List_Olist_ONil(_u17897)) | ( hAPP(c_List_Ohd(_u17897), hAPP(hAPP(c_List_Oappend(_u17897), _u17895), _u17899)) = hAPP(c_List_Ohd(_u17897), _u17895)) )).
% 12.21/12.47 cnf(matrix-7303, plain, ( ( _u17900 = c_List_Olist_ONil(_u17901)) | ( hAPP(c_List_Ohd(_u17901), hAPP(hAPP(c_List_Oappend(_u17901), _u17900), _u17902)) = hAPP(c_List_Ohd(_u17901), _u17900)) )).
% 12.21/12.47 cnf(matrix-7304, plain, ( ( _u17903 = c_List_Olist_ONil(_u17904)) | hBOOL(hAPP(hAPP(c_member(_u17904), hAPP(c_List_Ohd(_u17904), _u17903)), hAPP(c_List_Oset(_u17904), _u17903))) )).
% 12.21/12.47 cnf(matrix-7305, plain, ( ( _u17905 = c_List_Olist_ONil(_u17906)) | ( hAPP(c_List_Ohd(_u17906), _u17905) = hAPP(hAPP(c_List_Onth(_u17906), _u17905), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7306, plain, ( ( _u17907 = c_List_Olist_ONil(_u17908)) | ( hAPP(c_List_Orotate1(_u17908), _u17907) = hAPP(hAPP(c_List_Oappend(_u17908), hAPP(c_List_Otl(_u17908), _u17907)), hAPP(hAPP(c_List_Olist_OCons(_u17908), hAPP(c_List_Ohd(_u17908), _u17907)), c_List_Olist_ONil(_u17908)))) )).
% 12.21/12.47 cnf(matrix-7307, plain, ( ( _u17909 = c_List_Olist_ONil(_u17910)) | ( hAPP(c_List_Ohd(_u17910), hAPP(c_List_Orotate(_u17910, _u17911), _u17909)) = hAPP(hAPP(c_List_Onth(_u17910), _u17909), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17911, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17910)), _u17909)))) )).
% 12.21/12.47 cnf(matrix-7308, plain, ( ( hAPP(c_List_Otl(_u17912), hAPP(hAPP(c_List_Odrop(_u17912), _u17913), _u17914)) = hAPP(hAPP(c_List_Odrop(_u17912), _u17913), hAPP(c_List_Otl(_u17912), _u17914))) )).
% 12.21/12.47 cnf(matrix-7309, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17915), _u17916), hAPP(c_List_Otl(_u17915), _u17917)) = hAPP(c_List_Otl(_u17915), hAPP(hAPP(c_List_Odrop(_u17915), _u17916), _u17917))) )).
% 12.21/12.47 cnf(matrix-7310, plain, ( ( hAPP(c_List_Orotate(_u17918, _u17919), _u17920) = hAPP(c_List_Orotate(_u17918, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17919, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17918)), _u17920))), _u17920)) )).
% 12.21/12.47 cnf(matrix-7311, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17921), hAPP(c_Nat_OSuc, _u17922)), _u17923) = hAPP(hAPP(c_List_Odrop(_u17921), _u17922), hAPP(c_List_Otl(_u17921), _u17923))) )).
% 12.21/12.47 cnf(matrix-7312, plain, ( ( _u17924 = c_List_Olist_ONil(_u17925)) | ( hAPP(c_List_Otl(_u17925), hAPP(hAPP(c_List_Oappend(_u17925), _u17924), _u17926)) = hAPP(hAPP(c_List_Oappend(_u17925), hAPP(c_List_Otl(_u17925), _u17924)), _u17926)) )).
% 12.21/12.47 cnf(matrix-7313, plain, ( ( hAPP(c_List_Orotate(_u17927, _u17928), hAPP(hAPP(c_List_Omap(_u17929, _u17927), _u17930), _u17931)) = hAPP(hAPP(c_List_Omap(_u17929, _u17927), _u17930), hAPP(c_List_Orotate(_u17929, _u17928), _u17931))) )).
% 12.21/12.47 cnf(matrix-7314, plain, ( ( hAPP(hAPP(c_List_Omap(_u17932, _u17933), _u17934), hAPP(c_List_Otl(_u17932), _u17935)) = hAPP(c_List_Otl(_u17933), hAPP(hAPP(c_List_Omap(_u17932, _u17933), _u17934), _u17935))) )).
% 12.21/12.47 cnf(matrix-7315, plain, ( ( hAPP(c_List_Orotate(_u17939, _u17941), _u17943) != c_List_Olist_ONil(_u17939)) | ( _u17943 = c_List_Olist_ONil(_u17939)) )).
% 12.21/12.47 cnf(matrix-7316, plain, ( ( _u17944 != c_List_Olist_ONil(_u17940)) | ( hAPP(c_List_Orotate(_u17940, _u17942), _u17944) = c_List_Olist_ONil(_u17940)) )).
% 12.21/12.47 cnf(matrix-7317, plain, ( ( hAPP(c_List_Otl(_u17945), c_List_Olist_ONil(_u17945)) = c_List_Olist_ONil(_u17945)) )).
% 12.21/12.47 cnf(matrix-7318, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), hAPP(c_List_Orotate(_u17946, _u17947), _u17948)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17946)), _u17948)) )).
% 12.21/12.47 cnf(matrix-7319, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17952), hAPP(c_List_Orotate(_u17952, _u17954), _u17956))) | hBOOL(hAPP(c_List_Odistinct(_u17952), _u17956)) )).
% 12.21/12.47 cnf(matrix-7320, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17953), _u17957)) | hBOOL(hAPP(c_List_Odistinct(_u17953), hAPP(c_List_Orotate(_u17953, _u17955), _u17957))) )).
% 12.21/12.47 cnf(matrix-7321, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17958), _u17959)) | hBOOL(hAPP(c_List_Odistinct(_u17958), hAPP(c_List_Otl(_u17958), _u17959))) )).
% 12.21/12.47 cnf(matrix-7322, plain, ( ( hAPP(c_List_Orotate(_u17960, _u17961), hAPP(c_List_Orotate(_u17960, _u17962), _u17963)) = hAPP(c_List_Orotate(_u17960, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17961), _u17962)), _u17963)) )).
% 12.21/12.47 cnf(matrix-7323, plain, ( ( hAPP(c_List_Oset(_u17964), hAPP(c_List_Orotate(_u17964, _u17965), _u17966)) = hAPP(c_List_Oset(_u17964), _u17966)) )).
% 12.21/12.47 cnf(matrix-7324, plain, ( ( hAPP(c_List_Otl(_u17967), hAPP(hAPP(c_List_Olist_OCons(_u17967), _u17968), _u17969)) = _u17969) )).
% 12.21/12.47 cnf(matrix-7325, plain, ( ( hAPP(hAPP(c_List_Otake(_u17970), _u17971), hAPP(c_List_Otl(_u17970), _u17972)) = hAPP(c_List_Otl(_u17970), hAPP(hAPP(c_List_Otake(_u17970), hAPP(c_Nat_OSuc, _u17971)), _u17972))) )).
% 12.21/12.47 cnf(matrix-7326, plain, ( ( hAPP(c_List_Orotate1(_u17973), hAPP(c_List_Orotate(_u17973, _u17974), _u17975)) = hAPP(c_List_Orotate(_u17973, _u17974), hAPP(c_List_Orotate1(_u17973), _u17975))) )).
% 12.21/12.47 cnf(matrix-7327, plain, ( ( c_List_Orotate(_u17976, _u17977) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u17976), tc_List_Olist(_u17976)), _u17977), c_List_Orotate1(_u17976))) )).
% 12.21/12.47 cnf(matrix-7328, plain, ( ( hAPP(c_List_Orotate(_u17978, hAPP(c_Nat_OSuc, _u17979)), _u17980) = hAPP(c_List_Orotate1(_u17978), hAPP(c_List_Orotate(_u17978, _u17979), _u17980))) )).
% 12.21/12.47 cnf(matrix-7329, plain, ( ( hAPP(c_List_Otl(_u17981), hAPP(hAPP(c_List_Oappend(_u17981), _u17982), _u17983)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17981), _u17981, hAPP(c_List_Otl(_u17981), _u17983), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17981), tc_List_Olist(_u17981)), _u17981), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17981), tc_List_Olist(_u17981), tc_List_Olist(_u17981)), c_List_Oappend(_u17981)), _u17983))), _u17982)) )).
% 12.21/12.47 cnf(matrix-7330, plain, ( ( c_List_Orotate(_u17984, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u17984))) )).
% 12.21/12.47 cnf(matrix-7331, plain, ( ( c_List_Orotate(_u17985, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17986), _u17987)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u17985), tc_List_Olist(_u17985), tc_List_Olist(_u17985), c_List_Orotate(_u17985, _u17986)), c_List_Orotate(_u17985, _u17987))) )).
% 12.21/12.47 cnf(matrix-7332, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17988, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17989)), _u17990)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u17989, _u17988), _u17990) = _u17990) )).
% 12.21/12.47 cnf(matrix-7333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17991)), _u17992)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u17991, _u17993), _u17992) = _u17992) )).
% 12.21/12.47 cnf(matrix-7334, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17994)), hAPP(c_List_Otl(_u17994), _u17995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17994)), _u17995)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7335, plain, ( ( hAPP(c_List_Otl(_u17996), hAPP(hAPP(c_List_Otake(_u17996), _u17997), _u17998)) = hAPP(hAPP(c_List_Otake(_u17996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17997), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u17996), _u17998))) )).
% 12.21/12.47 cnf(matrix-7336, plain, ( ( _u17999 = c_List_Olist_ONil(_u18000)) | ( hAPP(hAPP(c_List_Otake(_u18000), hAPP(c_Nat_OSuc, _u18001)), _u17999) = hAPP(hAPP(c_List_Olist_OCons(_u18000), hAPP(c_List_Ohd(_u18000), _u17999)), hAPP(hAPP(c_List_Otake(_u18000), _u18001), hAPP(c_List_Otl(_u18000), _u17999)))) )).
% 12.21/12.47 cnf(matrix-7337, plain, ( ( hAPP(c_List_Orotate(_u18002, _u18003), _u18004) = hAPP(hAPP(c_List_Oappend(_u18002), hAPP(hAPP(c_List_Odrop(_u18002), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18003, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18004))), _u18004)), hAPP(hAPP(c_List_Otake(_u18002), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18003, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18004))), _u18004))) )).
% 12.21/12.47 cnf(matrix-7338, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u18005) | ( _u18006 = c_List_Olist_ONil(_u18005)) | ( hAPP(c_Finite__Set_Ofold1(_u18005, c_Groups_Otimes__class_Otimes(_u18005)), hAPP(c_List_Oset(_u18005), _u18006)) = hAPP(c_List_Ofoldl(_u18005, _u18005, c_Groups_Otimes__class_Otimes(_u18005), hAPP(c_List_Ohd(_u18005), _u18006)), hAPP(c_List_Otl(_u18005), _u18006))) )).
% 12.21/12.47 cnf(matrix-7339, plain, ( ( _u18009 != hAPP(hAPP(c_List_Olist_OCons(_u18010), _u18008), _u18007)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18010), tc_List_Olist(_u18010))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18010), tc_List_Olist(_u18010)), _u18011), hAPP(hAPP(c_List_Oappend(_u18010), _u18011), _u18009))), c_List_Olexord(_u18010, _u18012))) )).
% 12.21/12.47 cnf(matrix-7340, plain, ( ( hAPP(c_List_Ofoldl(_u18013, _u18014, _u18015, _u18016), hAPP(hAPP(c_List_Olist_OCons(_u18014), _u18017), _u18018)) = hAPP(c_List_Ofoldl(_u18013, _u18014, _u18015, hAPP(hAPP(_u18015, _u18016), _u18017)), _u18018)) )).
% 12.21/12.47 cnf(matrix-7341, plain, ( ~class_Groups_Osemigroup__add(_u18019) | ( hAPP(c_List_Ofoldl(_u18019, _u18019, c_Groups_Oplus__class_Oplus(_u18019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18019), _u18020), _u18021)), _u18022) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18019), _u18020), hAPP(c_List_Ofoldl(_u18019, _u18019, c_Groups_Oplus__class_Oplus(_u18019), _u18021), _u18022))) )).
% 12.21/12.47 cnf(matrix-7342, plain, ( ~class_Groups_Omonoid__add(_u18023) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18023), _u18024), hAPP(c_List_Ofoldl(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), c_Groups_Ozero__class_Ozero(_u18023)), _u18025)) = hAPP(c_List_Ofoldl(_u18023, _u18023, c_Groups_Oplus__class_Oplus(_u18023), _u18024), _u18025)) )).
% 12.21/12.47 cnf(matrix-7343, plain, ( ~class_Groups_Oab__semigroup__add(_u18026) | ( c_List_Ofoldr(_u18026, _u18026, c_Groups_Oplus__class_Oplus(_u18026), _u18027, _u18028) = hAPP(c_List_Ofoldl(_u18026, _u18026, c_Groups_Oplus__class_Oplus(_u18026), _u18028), _u18027)) )).
% 12.21/12.47 cnf(matrix-7344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18029), _u18030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18029), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18030), _u18031))) )).
% 12.21/12.47 cnf(matrix-7345, plain, ( ( hAPP(c_List_Ofoldl(_u18032, _u18033, _u18034, _u18035), c_List_Olist_ONil(_u18033)) = _u18035) )).
% 12.21/12.47 cnf(matrix-7346, plain, ( ( hAPP(c_List_Ofoldl(_u18036, _u18037, _u18038, _u18039), hAPP(hAPP(c_List_Omap(_u18040, _u18037), _u18041), _u18042)) = hAPP(c_List_Ofoldl(_u18036, _u18040, hAPP(hAPP(c_COMBC(_u18036, tc_fun(_u18040, _u18037), tc_fun(_u18040, _u18036)), hAPP(hAPP(c_COMBB(tc_fun(_u18037, _u18036), tc_fun(tc_fun(_u18040, _u18037), tc_fun(_u18040, _u18036)), _u18036), c_COMBB(_u18037, _u18036, _u18040)), _u18038)), _u18041), _u18039), _u18042)) )).
% 12.21/12.47 cnf(matrix-7347, plain, ( ( hAPP(c_List_Ofoldl(_u18043, _u18044, _u18045, _u18046), hAPP(hAPP(c_List_Oappend(_u18044), _u18047), _u18048)) = hAPP(c_List_Ofoldl(_u18043, _u18044, _u18045, hAPP(c_List_Ofoldl(_u18043, _u18044, _u18045, _u18046), _u18047)), _u18048)) )).
% 12.21/12.47 cnf(matrix-7348, plain, ( ~class_Groups_Omonoid__add(_u18049) | ( c_List_Omonoid__add__class_Olistsum(_u18049) = c_List_Ofoldl(_u18049, _u18049, c_Groups_Oplus__class_Oplus(_u18049), c_Groups_Ozero__class_Ozero(_u18049))) )).
% 12.21/12.47 cnf(matrix-7349, plain, ( ~class_Groups_Omonoid__add(_u18050) | ( hAPP(c_List_Ofoldl(_u18050, _u18050, c_Groups_Oplus__class_Oplus(_u18050), c_Groups_Ozero__class_Ozero(_u18050)), _u18051) = c_List_Ofoldr(_u18050, _u18050, c_Groups_Oplus__class_Oplus(_u18050), _u18051, c_Groups_Ozero__class_Ozero(_u18050))) )).
% 12.21/12.47 cnf(matrix-7350, plain, ( ~class_Groups_Omonoid__add(_u18052) | ( hAPP(c_List_Ofoldl(_u18052, _u18052, c_Groups_Oplus__class_Oplus(_u18052), _u18053), _u18054) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18052), _u18053), c_List_Ofoldr(_u18052, _u18052, c_Groups_Oplus__class_Oplus(_u18052), _u18054, c_Groups_Ozero__class_Ozero(_u18052)))) )).
% 12.21/12.47 cnf(matrix-7351, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18059), _u18061) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7352, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18059), _u18061) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18055), hAPP(c_List_Oset(tc_Nat_Onat), _u18061))) | ( _u18055 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7353, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18060), _u18062) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18060 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem445(_u18062, _u18060)), hAPP(c_List_Oset(tc_Nat_Onat), _u18062))) )).
% 12.21/12.47 cnf(matrix-7354, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18060), _u18062) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18060 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem445(_u18062, _u18060) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7355, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u18063, _u18064, _u18065) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u18063, _u18064, _u18065), _u18066), hAPP(c_List_Oset(_u18063), _u18067)) = hAPP(c_List_Ofoldl(_u18064, _u18063, hAPP(c_COMBC(_u18063, _u18064, _u18064), _u18065), _u18066), _u18067)) )).
% 12.21/12.47 cnf(matrix-7356, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18068) | ( c_Complete__Lattice_OSup__class_OSup(_u18068, hAPP(c_List_Oset(_u18068), _u18069)) = hAPP(c_List_Ofoldl(_u18068, _u18068, c_Lattices_Osemilattice__sup__class_Osup(_u18068), c_Orderings_Obot__class_Obot(_u18068)), _u18069)) )).
% 12.21/12.47 cnf(matrix-7357, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18070) | ( c_Complete__Lattice_OInf__class_OInf(_u18070, hAPP(c_List_Oset(_u18070), _u18071)) = hAPP(c_List_Ofoldl(_u18070, _u18070, c_Lattices_Osemilattice__inf__class_Oinf(_u18070), c_Orderings_Otop__class_Otop(_u18070)), _u18071)) )).
% 12.21/12.47 cnf(matrix-7358, plain, ( ~class_Lattices_Olattice(_u18072) | ( c_Big__Operators_Olattice__class_OSup__fin(_u18072, hAPP(c_List_Oset(_u18072), hAPP(hAPP(c_List_Olist_OCons(_u18072), _u18073), _u18074))) = hAPP(c_List_Ofoldl(_u18072, _u18072, c_Lattices_Osemilattice__sup__class_Osup(_u18072), _u18073), _u18074)) )).
% 12.21/12.47 cnf(matrix-7359, plain, ( ~class_Lattices_Olattice(_u18075) | ( c_Big__Operators_Olattice__class_OInf__fin(_u18075, hAPP(c_List_Oset(_u18075), hAPP(hAPP(c_List_Olist_OCons(_u18075), _u18076), _u18077))) = hAPP(c_List_Ofoldl(_u18075, _u18075, c_Lattices_Osemilattice__inf__class_Oinf(_u18075), _u18076), _u18077)) )).
% 12.21/12.47 cnf(matrix-7360, plain, ( ~class_Orderings_Olinorder(_u18078) | ( c_Big__Operators_Olinorder__class_OMin(_u18078, hAPP(c_List_Oset(_u18078), hAPP(hAPP(c_List_Olist_OCons(_u18078), _u18079), _u18080))) = hAPP(c_List_Ofoldl(_u18078, _u18078, c_Orderings_Oord__class_Omin(_u18078), _u18079), _u18080)) )).
% 12.21/12.47 cnf(matrix-7361, plain, ( ~class_Orderings_Olinorder(_u18081) | ( c_Big__Operators_Olinorder__class_OMax(_u18081, hAPP(c_List_Oset(_u18081), hAPP(hAPP(c_List_Olist_OCons(_u18081), _u18082), _u18083))) = hAPP(c_List_Ofoldl(_u18081, _u18081, c_Orderings_Oord__class_Omax(_u18081), _u18082), _u18083)) )).
% 12.21/12.47 cnf(matrix-7362, plain, ( ~class_Orderings_Olinorder(_u18084) | ( c_Big__Operators_Olattice_OInf__fin(_u18084, c_Orderings_Oord__class_Omin(_u18084), hAPP(c_List_Oset(_u18084), hAPP(hAPP(c_List_Olist_OCons(_u18084), _u18085), _u18086))) = hAPP(c_List_Ofoldl(_u18084, _u18084, c_Orderings_Oord__class_Omin(_u18084), _u18085), _u18086)) )).
% 12.21/12.47 cnf(matrix-7363, plain, ( ~class_Orderings_Olinorder(_u18087) | ( c_Big__Operators_Olattice_OSup__fin(_u18087, c_Orderings_Oord__class_Omax(_u18087), hAPP(c_List_Oset(_u18087), hAPP(hAPP(c_List_Olist_OCons(_u18087), _u18088), _u18089))) = hAPP(c_List_Ofoldl(_u18087, _u18087, c_Orderings_Oord__class_Omax(_u18087), _u18088), _u18089)) )).
% 12.21/12.47 cnf(matrix-7364, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18090) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18091, _u18090), hAPP(c_List_Oset(_u18091), _u18092)), _u18093) = hAPP(c_List_Ofoldl(_u18090, _u18091, hAPP(c_COMBC(_u18091, _u18090, _u18090), hAPP(hAPP(c_COMBB(_u18090, tc_fun(_u18090, _u18090), _u18091), c_Lattices_Osemilattice__sup__class_Osup(_u18090)), _u18093)), c_Orderings_Obot__class_Obot(_u18090)), _u18092)) )).
% 12.21/12.47 cnf(matrix-7365, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18094) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18095, _u18094), hAPP(c_List_Oset(_u18095), _u18096)), _u18097) = hAPP(c_List_Ofoldl(_u18094, _u18095, hAPP(c_COMBC(_u18095, _u18094, _u18094), hAPP(hAPP(c_COMBB(_u18094, tc_fun(_u18094, _u18094), _u18095), c_Lattices_Osemilattice__inf__class_Oinf(_u18094)), _u18097)), c_Orderings_Otop__class_Otop(_u18094)), _u18096)) )).
% 12.21/12.47 cnf(matrix-7366, plain, ( ( c_Map_Omap__upds(_u18098, _u18099, _u18100, _u18101, _u18102) = hAPP(c_List_Ofoldl(tc_fun(_u18098, tc_Option_Ooption(_u18099)), tc_prod(_u18098, _u18099), hAPP(hAPP(c_COMBB(tc_fun(_u18098, tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099)))), tc_fun(tc_prod(_u18098, _u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099))), tc_fun(_u18098, tc_Option_Ooption(_u18099))), c_Product__Type_Oprod_Oprod__case(_u18098, _u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099)))), hAPP(hAPP(c_COMBC(tc_fun(_u18098, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18098, tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), hAPP(hAPP(c_COMBB(tc_fun(_u18098, tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18098, tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), tc_fun(_u18098, tc_Option_Ooption(_u18099))), c_COMBC(_u18098, tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), hAPP(hAPP(c_COMBB(tc_fun(_u18098, tc_fun(tc_Option_Ooption(_u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099)))), tc_fun(_u18098, tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099))))), tc_fun(_u18098, tc_Option_Ooption(_u18099))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099))), tc_fun(tc_fun(_u18099, tc_Option_Ooption(_u18099)), tc_fun(_u18099, tc_fun(_u18098, tc_Option_Ooption(_u18099)))), _u18098), c_COMBB(tc_Option_Ooption(_u18099), tc_fun(_u18098, tc_Option_Ooption(_u18099)), _u18099))), c_Fun_Ofun__upd(_u18098, tc_Option_Ooption(_u18099))))), c_Option_Ooption_OSome(_u18099))), _u18100), hAPP(hAPP(c_List_Ozip(_u18098, _u18099), _u18101), _u18102))) )).
% 12.21/12.47 cnf(matrix-7367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18103), hAPP(c_List_Oset(tc_Nat_Onat), _u18104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18103), 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)), _u18104))) )).
% 12.21/12.47 cnf(matrix-7368, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18112), tc_List_Olist(_u18112))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18112), tc_List_Olist(_u18112)), c_List_Olist_ONil(_u18112)), _u18114)), c_List_Olexord(_u18112, _u18116))) | ( _u18114 = hAPP(hAPP(c_List_Olist_OCons(_u18112), skolem446(_u18116, _u18114, _u18112)), skolem447(_u18116, _u18114, _u18112))) )).
% 12.21/12.47 cnf(matrix-7369, plain, ( ( _u18115 != hAPP(hAPP(c_List_Olist_OCons(_u18113), _u18108), _u18107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18113), tc_List_Olist(_u18113))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18113), tc_List_Olist(_u18113)), c_List_Olist_ONil(_u18113)), _u18115)), c_List_Olexord(_u18113, _u18117))) )).
% 12.21/12.47 cnf(matrix-7370, plain, ( ( _u18118 = c_List_Olist_ONil(_u18119)) | ( _u18120 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18119)), _u18118)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u18119, hAPP(hAPP(c_List_Olist__update(_u18119, _u18118), _u18120), _u18121)) = _u18121) )).
% 12.21/12.47 cnf(matrix-7371, plain, ( ( _u18118 = c_List_Olist_ONil(_u18119)) | ( _u18120 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18119)), _u18118)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u18119, hAPP(hAPP(c_List_Olist__update(_u18119, _u18118), _u18120), _u18121)) = c_List_Olast(_u18119, _u18118)) )).
% 12.21/12.47 cnf(matrix-7372, plain, ( ( _u18122 != c_List_Olist_ONil(_u18123)) | ( c_List_Olast(_u18123, hAPP(hAPP(c_List_Oappend(_u18123), _u18124), _u18122)) = c_List_Olast(_u18123, _u18124)) )).
% 12.21/12.47 cnf(matrix-7373, plain, ( ( _u18125 = c_List_Olist_ONil(_u18126)) | ( c_List_Olast(_u18126, hAPP(hAPP(c_List_Oappend(_u18126), _u18127), _u18125)) = c_List_Olast(_u18126, _u18125)) )).
% 12.21/12.47 cnf(matrix-7374, plain, ( ( _u18131 != c_List_Olist_ONil(_u18133)) | ( c_List_Olast(_u18133, hAPP(hAPP(c_List_Oappend(_u18133), _u18135), _u18131)) = c_List_Olast(_u18133, _u18135)) )).
% 12.21/12.47 cnf(matrix-7375, plain, ( ( _u18132 = c_List_Olist_ONil(_u18134)) | ( c_List_Olast(_u18134, hAPP(hAPP(c_List_Oappend(_u18134), _u18136), _u18132)) = c_List_Olast(_u18134, _u18132)) )).
% 12.21/12.47 cnf(matrix-7376, plain, ( ( _u18137 = c_List_Olist_ONil(_u18138)) | ( c_List_Olast(_u18139, hAPP(hAPP(c_List_Omap(_u18138, _u18139), _u18140), _u18137)) = hAPP(_u18140, c_List_Olast(_u18138, _u18137))) )).
% 12.21/12.47 cnf(matrix-7377, plain, ( ( _u18144 != c_List_Olist_ONil(_u18146)) | ( c_List_Olast(_u18146, hAPP(hAPP(c_List_Olist_OCons(_u18146), _u18148), _u18144)) = _u18148) )).
% 12.21/12.47 cnf(matrix-7378, plain, ( ( _u18145 = c_List_Olist_ONil(_u18147)) | ( c_List_Olast(_u18147, hAPP(hAPP(c_List_Olist_OCons(_u18147), _u18149), _u18145)) = c_List_Olast(_u18147, _u18145)) )).
% 12.21/12.47 cnf(matrix-7379, plain, ( ( _u18150 = c_List_Olist_ONil(_u18151)) | ( c_List_Olast(_u18151, hAPP(hAPP(c_List_Olist_OCons(_u18151), _u18152), _u18150)) = c_List_Olast(_u18151, _u18150)) )).
% 12.21/12.47 cnf(matrix-7380, plain, ( ( _u18153 != c_List_Olist_ONil(_u18154)) | ( c_List_Olast(_u18154, hAPP(hAPP(c_List_Olist_OCons(_u18154), _u18155), _u18153)) = _u18155) )).
% 12.21/12.47 cnf(matrix-7381, plain, ( ( _u18156 = c_List_Olist_ONil(_u18157)) | hBOOL(hAPP(hAPP(c_member(_u18157), c_List_Olast(_u18157, _u18156)), hAPP(c_List_Oset(_u18157), _u18156))) )).
% 12.21/12.47 cnf(matrix-7382, plain, ( ( c_List_Olast(_u18158, hAPP(hAPP(c_List_Oappend(_u18158), _u18159), hAPP(hAPP(c_List_Olist_OCons(_u18158), _u18160), c_List_Olist_ONil(_u18158)))) = _u18160) )).
% 12.21/12.47 cnf(matrix-7383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18161), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18162)), _u18163))) | ( c_List_Olast(_u18162, hAPP(hAPP(c_List_Odrop(_u18162), _u18161), _u18163)) = c_List_Olast(_u18162, _u18163)) )).
% 12.21/12.47 cnf(matrix-7384, plain, ( ( _u18164 = c_List_Olist_ONil(_u18165)) | ( c_List_Olast(_u18165, _u18164) = hAPP(hAPP(c_List_Onth(_u18165), _u18164), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18165)), _u18164)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-7385, plain, ( ~class_Enum_Oenum(_u18167) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18168)), _u18169) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18167)), c_Enum_Oenum__class_Oenum(_u18167))) | ( hAPP(hAPP(c_Map_Omap__of(_u18167, _u18168), hAPP(hAPP(c_List_Ozip(_u18167, _u18168), c_Enum_Oenum__class_Oenum(_u18167)), _u18169)), _u18170) = hAPP(c_Option_Ooption_OSome(_u18168), skolem448(_u18170, _u18169, _u18168, _u18167))) )).
% 12.21/12.47 cnf(matrix-7386, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u18171), _u18172) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u18171, 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)))), _u18172)))) )).
% 12.21/12.47 cnf(matrix-7387, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18174, _u18174)), hAPP(hAPP(c_Product__Type_OPair(_u18174, _u18174), skolem449(_u18176, _u18175, _u18174)), skolem449(_u18176, _u18175, _u18174))), _u18175)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18174), tc_List_Olist(_u18174))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18174), tc_List_Olist(_u18174)), _u18176), _u18176)), c_List_Olexord(_u18174, _u18175))) )).
% 12.21/12.47 cnf(matrix-7388, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18181), _u18182)), c_List_Olexord(_u18179, _u18180))) | ( _u18181 = _u18182) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18182), _u18181)), c_List_Olexord(_u18179, _u18180))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18179, _u18179)), hAPP(hAPP(c_Product__Type_OPair(_u18179, _u18179), skolem450(_u18182, _u18181, _u18180, _u18179)), skolem451(_u18182, _u18181, _u18180, _u18179))), _u18180)) )).
% 12.21/12.47 cnf(matrix-7389, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18181), _u18182)), c_List_Olexord(_u18179, _u18180))) | ( _u18181 = _u18182) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18182), _u18181)), c_List_Olexord(_u18179, _u18180))) | ( skolem450(_u18182, _u18181, _u18180, _u18179) != skolem451(_u18182, _u18181, _u18180, _u18179)) )).
% 12.21/12.47 cnf(matrix-7390, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18181), _u18182)), c_List_Olexord(_u18179, _u18180))) | ( _u18181 = _u18182) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18179), tc_List_Olist(_u18179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18179), tc_List_Olist(_u18179)), _u18182), _u18181)), c_List_Olexord(_u18179, _u18180))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18179, _u18179)), hAPP(hAPP(c_Product__Type_OPair(_u18179, _u18179), skolem451(_u18182, _u18181, _u18180, _u18179)), skolem450(_u18182, _u18181, _u18180, _u18179))), _u18180)) )).
% 12.21/12.47 cnf(matrix-7391, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), _u18192), c_List_Olists(_u18190, _u18194))) | ( _u18192 = c_List_Olist_ONil(_u18190)) | hBOOL(hAPP(hAPP(c_member(_u18190), skolem452(_u18194, _u18192, _u18190)), _u18194)) )).
% 12.21/12.47 cnf(matrix-7392, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), _u18192), c_List_Olists(_u18190, _u18194))) | ( _u18192 = c_List_Olist_ONil(_u18190)) | ( _u18192 = hAPP(hAPP(c_List_Olist_OCons(_u18190), skolem452(_u18194, _u18192, _u18190)), skolem453(_u18194, _u18192, _u18190))) )).
% 12.21/12.47 cnf(matrix-7393, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), _u18192), c_List_Olists(_u18190, _u18194))) | ( _u18192 = c_List_Olist_ONil(_u18190)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18190)), skolem453(_u18194, _u18192, _u18190)), c_List_Olists(_u18190, _u18194))) )).
% 12.21/12.47 cnf(matrix-7394, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18191)), _u18193), c_List_Olists(_u18191, _u18195))) | ( _u18193 != c_List_Olist_ONil(_u18191)) )).
% 12.21/12.47 cnf(matrix-7395, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18191)), _u18193), c_List_Olists(_u18191, _u18195))) | ~hBOOL(hAPP(hAPP(c_member(_u18191), _u18186), _u18195)) | ( _u18193 != hAPP(hAPP(c_List_Olist_OCons(_u18191), _u18186), _u18185)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18191)), _u18185), c_List_Olists(_u18191, _u18195))) )).
% 12.21/12.47 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18197, _u18198)), hAPP(hAPP(c_Product__Type_OPair(_u18197, _u18198), _u18199), _u18200)), hAPP(c_List_Oset(tc_prod(_u18197, _u18198)), _u18201))) | ( hAPP(hAPP(c_Map_Omap__of(_u18197, _u18198), _u18201), _u18199) = hAPP(c_Option_Ooption_OSome(_u18198), skolem454(_u18201, _u18200, _u18199, _u18198, _u18197))) )).
% 12.21/12.47 cnf(matrix-7397, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u18203, _u18205, _u18204)), c_List_Olist_Olist__size(_u18203, _u18206, _u18204))) | hBOOL(hAPP(hAPP(c_member(_u18203), skolem455(_u18206, _u18205, _u18204, _u18203)), hAPP(c_List_Oset(_u18203), _u18204))) )).
% 12.21/12.47 cnf(matrix-7398, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u18203, _u18205, _u18204)), c_List_Olist_Olist__size(_u18203, _u18206, _u18204))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18205, skolem455(_u18206, _u18205, _u18204, _u18203))), hAPP(_u18206, skolem455(_u18206, _u18205, _u18204, _u18203)))) )).
% 12.21/12.47 cnf(matrix-7399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18207), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18209))) | ( c_List_Obutlast(_u18208, hAPP(hAPP(c_List_Otake(_u18208), _u18207), _u18209)) = hAPP(hAPP(c_List_Otake(_u18208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18207), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18209)) )).
% 12.21/12.47 cnf(matrix-7400, plain, ( ( c_List_Obutlast(_u18210, hAPP(hAPP(c_List_Odrop(_u18210), _u18211), _u18212)) = hAPP(hAPP(c_List_Odrop(_u18210), _u18211), c_List_Obutlast(_u18210, _u18212))) )).
% 12.21/12.47 cnf(matrix-7401, plain, ( ( hAPP(hAPP(c_List_Odrop(_u18213), _u18214), c_List_Obutlast(_u18213, _u18215)) = c_List_Obutlast(_u18213, hAPP(hAPP(c_List_Odrop(_u18213), _u18214), _u18215))) )).
% 12.21/12.47 cnf(matrix-7402, plain, ( ( _u18219 != c_List_Olist_ONil(_u18221)) | ( c_List_Obutlast(_u18221, hAPP(hAPP(c_List_Oappend(_u18221), _u18223), _u18219)) = c_List_Obutlast(_u18221, _u18223)) )).
% 12.21/12.47 cnf(matrix-7403, plain, ( ( _u18220 = c_List_Olist_ONil(_u18222)) | ( c_List_Obutlast(_u18222, hAPP(hAPP(c_List_Oappend(_u18222), _u18224), _u18220)) = hAPP(hAPP(c_List_Oappend(_u18222), _u18224), c_List_Obutlast(_u18222, _u18220))) )).
% 12.21/12.47 cnf(matrix-7404, plain, ( ( hAPP(hAPP(c_List_Omap(_u18225, _u18226), _u18227), c_List_Obutlast(_u18225, _u18228)) = c_List_Obutlast(_u18226, hAPP(hAPP(c_List_Omap(_u18225, _u18226), _u18227), _u18228))) )).
% 12.21/12.47 cnf(matrix-7405, plain, ( ( c_List_Obutlast(_u18229, c_List_Olist_ONil(_u18229)) = c_List_Olist_ONil(_u18229)) )).
% 12.21/12.47 cnf(matrix-7406, plain, ( ( _u18230 = c_List_Olist_ONil(_u18231)) | ~hBOOL(hAPP(c_List_Odistinct(_u18231), _u18230)) | hBOOL(hAPP(c_List_Odistinct(_u18231), c_List_Obutlast(_u18231, _u18230))) )).
% 12.21/12.47 cnf(matrix-7407, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18232), _u18233), hAPP(c_List_Oset(_u18232), c_List_Obutlast(_u18232, _u18234)))) | hBOOL(hAPP(hAPP(c_member(_u18232), _u18233), hAPP(c_List_Oset(_u18232), _u18234))) )).
% 12.21/12.47 cnf(matrix-7408, plain, ( ( _u18238 != c_List_Olist_ONil(_u18240)) | ( c_List_Obutlast(_u18240, hAPP(hAPP(c_List_Olist_OCons(_u18240), _u18242), _u18238)) = c_List_Olist_ONil(_u18240)) )).
% 12.21/12.47 cnf(matrix-7409, plain, ( ( _u18239 = c_List_Olist_ONil(_u18241)) | ( c_List_Obutlast(_u18241, hAPP(hAPP(c_List_Olist_OCons(_u18241), _u18243), _u18239)) = hAPP(hAPP(c_List_Olist_OCons(_u18241), _u18243), c_List_Obutlast(_u18241, _u18239))) )).
% 12.21/12.47 cnf(matrix-7410, plain, ( hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, hAPP(hAPP(c_List_Oappend(_u18244), _u18246), _u18247))))) | ~hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, _u18246)))) )).
% 12.21/12.47 cnf(matrix-7411, plain, ( hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, hAPP(hAPP(c_List_Oappend(_u18244), _u18246), _u18247))))) | ~hBOOL(hAPP(hAPP(c_member(_u18244), _u18245), hAPP(c_List_Oset(_u18244), c_List_Obutlast(_u18244, _u18247)))) )).
% 12.21/12.47 cnf(matrix-7412, plain, ( ( c_List_Obutlast(_u18248, hAPP(hAPP(c_List_Oappend(_u18248), _u18249), hAPP(hAPP(c_List_Olist_OCons(_u18248), _u18250), c_List_Olist_ONil(_u18248)))) = _u18249) )).
% 12.21/12.47 cnf(matrix-7413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18251), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18252)), _u18253))) | ( hAPP(hAPP(c_List_Otake(_u18252), _u18251), c_List_Obutlast(_u18252, _u18253)) = hAPP(hAPP(c_List_Otake(_u18252), _u18251), _u18253)) )).
% 12.21/12.47 cnf(matrix-7414, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18254)), c_List_Obutlast(_u18254, _u18255)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18254)), _u18255)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7415, plain, ( ( c_List_Obutlast(_u18256, _u18257) = hAPP(hAPP(c_List_Otake(_u18256), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18256)), _u18257)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18257)) )).
% 12.21/12.47 cnf(matrix-7416, plain, ( ( _u18262 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18264)), _u18266)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u18264, hAPP(hAPP(c_List_Olist__update(_u18264, _u18266), _u18262), _u18268)) = c_List_Obutlast(_u18264, _u18266)) )).
% 12.21/12.47 cnf(matrix-7417, plain, ( ( _u18263 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18265)), _u18267)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u18265, hAPP(hAPP(c_List_Olist__update(_u18265, _u18267), _u18263), _u18269)) = hAPP(hAPP(c_List_Olist__update(_u18265, c_List_Obutlast(_u18265, _u18267)), _u18263), _u18269)) )).
% 12.21/12.47 cnf(matrix-7418, plain, ( ( _u18270 = c_List_Olist_ONil(_u18271)) | ( hAPP(hAPP(c_List_Oappend(_u18271), c_List_Obutlast(_u18271, _u18270)), hAPP(hAPP(c_List_Olist_OCons(_u18271), c_List_Olast(_u18271, _u18270)), c_List_Olist_ONil(_u18271))) = _u18270) )).
% 12.21/12.47 cnf(matrix-7419, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18276), _u18278), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18280), c_List_Olist_ONil(_u18276))) != _u18282) | ( _u18282 != c_List_Olist_ONil(_u18276)) )).
% 12.21/12.47 cnf(matrix-7420, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18276), _u18278), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18280), c_List_Olist_ONil(_u18276))) != _u18282) | ( c_List_Obutlast(_u18276, _u18282) = _u18278) )).
% 12.21/12.47 cnf(matrix-7421, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18276), _u18278), hAPP(hAPP(c_List_Olist_OCons(_u18276), _u18280), c_List_Olist_ONil(_u18276))) != _u18282) | ( c_List_Olast(_u18276, _u18282) = _u18280) )).
% 12.21/12.47 cnf(matrix-7422, plain, ( ( _u18283 = c_List_Olist_ONil(_u18277)) | ( c_List_Obutlast(_u18277, _u18283) != _u18279) | ( c_List_Olast(_u18277, _u18283) != _u18281) | ( hAPP(hAPP(c_List_Oappend(_u18277), _u18279), hAPP(hAPP(c_List_Olist_OCons(_u18277), _u18281), c_List_Olist_ONil(_u18277))) = _u18283) )).
% 12.21/12.47 cnf(matrix-7423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18288))) | ( hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18287) = hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem456(_u18288, _u18287, _u18286, _u18285)), _u18285)) )).
% 12.21/12.47 cnf(matrix-7424, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18286)), _u18288))) | ( hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18287) = hAPP(hAPP(c_List_Otake(_u18286), _u18285), _u18288)) | ( hAPP(hAPP(c_List_Onth(_u18286), _u18287), skolem456(_u18288, _u18287, _u18286, _u18285)) != hAPP(hAPP(c_List_Onth(_u18286), _u18288), skolem456(_u18288, _u18287, _u18286, _u18285))) )).
% 12.21/12.47 cnf(matrix-7425, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18289))), c_List_Otranspose(_u18289, _u18290)) = c_List_Ofoldr(tc_List_Olist(_u18289), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18289)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18289))), _u18290, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7426, plain, ( ( c_List_Otranspose(_u18291, c_List_Olist_ONil(tc_List_Olist(_u18291))) = c_List_Olist_ONil(tc_List_Olist(_u18291))) )).
% 12.21/12.47 cnf(matrix-7427, plain, ( ( c_List_Otranspose(_u18292, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18292)), c_List_Olist_ONil(_u18292)), _u18293)) = c_List_Otranspose(_u18292, _u18293)) )).
% 12.21/12.47 cnf(matrix-7428, plain, ( ( c_List_Otranspose(_u18294, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18295), tc_List_Olist(_u18294)), hAPP(c_List_Omap(_u18295, _u18294), _u18296)), _u18297)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18295), tc_List_Olist(_u18294)), hAPP(c_List_Omap(_u18295, _u18294), _u18296)), c_List_Otranspose(_u18295, _u18297))) )).
% 12.21/12.47 cnf(matrix-7429, plain, ( ( c_List_Otranspose(_u18302, _u18304) != c_List_Olist_ONil(tc_List_Olist(_u18302))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18302)), _u18298), hAPP(c_List_Oset(tc_List_Olist(_u18302)), _u18304))) | ( _u18298 = c_List_Olist_ONil(_u18302)) )).
% 12.21/12.47 cnf(matrix-7430, plain, ( ( c_List_Otranspose(_u18303, _u18305) = c_List_Olist_ONil(tc_List_Olist(_u18303))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18303)), skolem457(_u18305, _u18303)), hAPP(c_List_Oset(tc_List_Olist(_u18303)), _u18305))) )).
% 12.21/12.47 cnf(matrix-7431, plain, ( ( c_List_Otranspose(_u18303, _u18305) = c_List_Olist_ONil(tc_List_Olist(_u18303))) | ( skolem457(_u18305, _u18303) != c_List_Olist_ONil(_u18303)) )).
% 12.21/12.47 cnf(matrix-7432, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18306)), c_List_Otranspose__rel(_u18306)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18306)), c_List_Olist_ONil(_u18306)), _u18307))) | ( c_List_Otranspose(_u18306, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18306)), c_List_Olist_ONil(_u18306)), _u18307)) = c_List_Otranspose(_u18306, _u18307)) )).
% 12.21/12.47 cnf(matrix-7433, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u18308), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18308)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18308))), c_List_Otranspose(_u18308, _u18309), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18308))), hAPP(c_List_Ofilter(tc_List_Olist(_u18308), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18308)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18308), tc_List_Olist(_u18308), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18308)))), _u18309))) )).
% 12.21/12.47 cnf(matrix-7434, plain, ( ( hAPP(c_List_Ofilter(_u18310, _u18311), hAPP(hAPP(c_List_Oappend(_u18310), _u18312), _u18313)) = hAPP(hAPP(c_List_Oappend(_u18310), hAPP(c_List_Ofilter(_u18310, _u18311), _u18312)), hAPP(c_List_Ofilter(_u18310, _u18311), _u18313))) )).
% 12.21/12.47 cnf(matrix-7435, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18314)), hAPP(c_List_Ofilter(_u18314, _u18315), hAPP(hAPP(c_List_Omap(_u18316, _u18314), _u18317), _u18318))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18316)), hAPP(c_List_Ofilter(_u18316, hAPP(c_Fun_Ocomp(_u18314, tc_HOL_Obool, _u18316, _u18315), _u18317)), _u18318))) )).
% 12.21/12.47 cnf(matrix-7436, plain, ( ( hAPP(c_List_Ofilter(_u18319, _u18320), hAPP(hAPP(c_List_Omap(_u18321, _u18319), _u18322), _u18323)) = hAPP(hAPP(c_List_Omap(_u18321, _u18319), _u18322), hAPP(c_List_Ofilter(_u18321, hAPP(c_Fun_Ocomp(_u18319, tc_HOL_Obool, _u18321, _u18320), _u18322)), _u18323))) )).
% 12.21/12.47 cnf(matrix-7437, plain, ( ( hAPP(c_List_Ofilter(_u18329, _u18331), _u18333) != c_List_Olist_ONil(_u18329)) | ~hBOOL(hAPP(hAPP(c_member(_u18329), _u18324), hAPP(c_List_Oset(_u18329), _u18333))) | ~hBOOL(hAPP(_u18331, _u18324)) )).
% 12.21/12.47 cnf(matrix-7438, plain, ( ( hAPP(c_List_Ofilter(_u18330, _u18332), _u18334) = c_List_Olist_ONil(_u18330)) | hBOOL(hAPP(hAPP(c_member(_u18330), skolem458(_u18334, _u18332, _u18330)), hAPP(c_List_Oset(_u18330), _u18334))) )).
% 12.21/12.47 cnf(matrix-7439, plain, ( ( hAPP(c_List_Ofilter(_u18330, _u18332), _u18334) = c_List_Olist_ONil(_u18330)) | hBOOL(hAPP(_u18332, skolem458(_u18334, _u18332, _u18330))) )).
% 12.21/12.47 cnf(matrix-7440, plain, ( ( hAPP(c_List_Ofilter(_u18335, _u18336), c_List_Olist_ONil(_u18335)) = c_List_Olist_ONil(_u18335)) )).
% 12.21/12.47 cnf(matrix-7441, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18337, tc_HOL_Obool)), hAPP(c_List_Oset(_u18337), hAPP(c_List_Ofilter(_u18337, _u18338), _u18339))), hAPP(c_List_Oset(_u18337), _u18339))) )).
% 12.21/12.47 cnf(matrix-7442, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18340)), hAPP(c_List_Ofilter(_u18340, _u18341), _u18342))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18340)), hAPP(c_List_Ofilter(_u18340, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18340), c_fNot), _u18341)), _u18342))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18340)), _u18342)) )).
% 12.21/12.47 cnf(matrix-7443, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18343)), hAPP(c_List_Ofilter(_u18343, _u18344), _u18345))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18343)), _u18345))) )).
% 12.21/12.47 cnf(matrix-7444, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18346), _u18347)) | hBOOL(hAPP(c_List_Odistinct(_u18346), hAPP(c_List_Ofilter(_u18346, _u18348), _u18347))) )).
% 12.21/12.47 cnf(matrix-7445, plain, ( ( hAPP(c_List_Ofilter(_u18349, _u18350), hAPP(c_List_Ofilter(_u18349, _u18351), _u18352)) = hAPP(c_List_Ofilter(_u18349, hAPP(hAPP(c_COMBS(_u18349, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18349), c_fconj), _u18351)), _u18350)), _u18352)) )).
% 12.21/12.47 cnf(matrix-7446, plain, ( ( hAPP(c_List_Ofilter(_u18358, _u18360), _u18362) != _u18362) | ~hBOOL(hAPP(hAPP(c_member(_u18358), _u18353), hAPP(c_List_Oset(_u18358), _u18362))) | hBOOL(hAPP(_u18360, _u18353)) )).
% 12.21/12.47 cnf(matrix-7447, plain, ( ( hAPP(c_List_Ofilter(_u18359, _u18361), _u18363) = _u18363) | hBOOL(hAPP(hAPP(c_member(_u18359), skolem459(_u18363, _u18361, _u18359)), hAPP(c_List_Oset(_u18359), _u18363))) )).
% 12.21/12.47 cnf(matrix-7448, plain, ( ( hAPP(c_List_Ofilter(_u18359, _u18361), _u18363) = _u18363) | ~hBOOL(hAPP(_u18361, skolem459(_u18363, _u18361, _u18359))) )).
% 12.21/12.47 cnf(matrix-7449, plain, ( ~hBOOL(hAPP(_u18368, _u18370)) | ( hAPP(c_List_Ofilter(_u18372, _u18368), hAPP(hAPP(c_List_Olist_OCons(_u18372), _u18370), _u18374)) = hAPP(hAPP(c_List_Olist_OCons(_u18372), _u18370), hAPP(c_List_Ofilter(_u18372, _u18368), _u18374))) )).
% 12.21/12.47 cnf(matrix-7450, plain, ( hBOOL(hAPP(_u18369, _u18371)) | ( hAPP(c_List_Ofilter(_u18373, _u18369), hAPP(hAPP(c_List_Olist_OCons(_u18373), _u18371), _u18375)) = hAPP(c_List_Ofilter(_u18373, _u18369), _u18375)) )).
% 12.21/12.47 cnf(matrix-7451, plain, ( ( hAPP(c_List_Oset(_u18376), hAPP(c_List_Ofilter(_u18376, _u18377), _u18378)) = hAPP(c_Set_OCollect(_u18376), hAPP(hAPP(c_COMBS(_u18376, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18376), c_fconj), hAPP(hAPP(c_COMBC(_u18376, tc_fun(_u18376, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18376)), hAPP(c_List_Oset(_u18376), _u18378)))), _u18377))) )).
% 12.21/12.47 cnf(matrix-7452, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18379), _u18380), hAPP(c_List_Oset(_u18379), _u18381))) | hBOOL(hAPP(_u18382, _u18380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), hAPP(c_List_Ofilter(_u18379, _u18382), _u18381))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), _u18381))) )).
% 12.21/12.47 cnf(matrix-7453, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18383, tc_HOL_Obool)), hAPP(c_List_Oset(_u18383), _u18384)), hAPP(hAPP(c_Set_Oinsert(_u18383), _u18385), c_Orderings_Obot__class_Obot(tc_fun(_u18383, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18383), hAPP(c_List_Ofilter(_u18383, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18383), c_fNot), hAPP(hAPP(c_COMBC(_u18383, _u18383, tc_HOL_Obool), c_fequal), _u18385))), _u18384))) )).
% 12.21/12.47 cnf(matrix-7454, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18386), _u18387)) | ( hAPP(c_List_Ofilter(_u18386, hAPP(hAPP(c_COMBC(_u18386, tc_fun(_u18386, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18386)), hAPP(c_List_Oset(_u18386), c_List_Osublist(_u18386, _u18387, _u18388)))), _u18387) = c_List_Osublist(_u18386, _u18387, _u18388)) )).
% 12.21/12.47 cnf(matrix-7455, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18389)), hAPP(c_List_Ofilter(_u18389, _u18390), _u18391)) = 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(_u18389)), _u18391)))), hAPP(hAPP(c_COMBB(_u18389, tc_HOL_Obool, tc_Nat_Onat), _u18390), hAPP(c_List_Onth(_u18389), _u18391)))))) )).
% 12.21/12.47 cnf(matrix-7456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18393))), c_List_Otranspose(_u18393, _u18394)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18393)), c_List_Otranspose(_u18393, _u18394)), _u18392) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18393), _u18393), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18393), tc_Nat_Onat, _u18393), c_List_Onth(_u18393)), _u18392)), hAPP(c_List_Ofilter(tc_List_Olist(_u18393), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18393)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18392)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18393)))), _u18394))) )).
% 12.21/12.47 cnf(matrix-7457, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18395)), _u18396))), c_List_Ofoldr(tc_List_Olist(_u18397), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18397)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397))), _u18398, 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(_u18395)), _u18396)), c_List_Ofoldr(tc_List_Olist(_u18397), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18397)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18397), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18397)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18397), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18397)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18397), tc_List_Olist(_u18397), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18397)))), _u18398), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.21/12.47 cnf(matrix-7458, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18399)), c_List_Otranspose__rel(_u18399)), c_List_Olist_ONil(tc_List_Olist(_u18399)))) | ( c_List_Otranspose(_u18399, c_List_Olist_ONil(tc_List_Olist(_u18399))) = c_List_Olist_ONil(tc_List_Olist(_u18399))) )).
% 12.21/12.47 cnf(matrix-7459, plain, ( ( c_List_Omap__filter(_u18400, _u18401, _u18402, _u18403) = hAPP(hAPP(c_List_Omap(_u18400, _u18401), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u18401), _u18401, _u18400, c_Option_Othe(_u18401)), _u18402)), hAPP(c_List_Ofilter(_u18400, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18400), c_fNot), hAPP(hAPP(c_COMBC(_u18400, tc_Option_Ooption(_u18401), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u18401), tc_fun(tc_Option_Ooption(_u18401), tc_HOL_Obool), _u18400), c_fequal), _u18402)), c_Option_Ooption_ONone(_u18401)))), _u18403))) )).
% 12.21/12.47 cnf(matrix-7460, plain, ( ( c_List_Oconcat(_u18404, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18404), tc_List_Olist(_u18404)), c_List_Olist_Olist__case(tc_List_Olist(_u18404), _u18404, c_List_Olist_ONil(_u18404), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18404), tc_fun(tc_List_Olist(_u18404), tc_List_Olist(_u18404)), _u18404), c_COMBK(tc_List_Olist(_u18404), tc_List_Olist(_u18404))), hAPP(hAPP(c_COMBC(_u18404, tc_List_Olist(_u18404), tc_List_Olist(_u18404)), c_List_Olist_OCons(_u18404)), c_List_Olist_ONil(_u18404))))), _u18405)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18404), _u18404), c_List_Ohd(_u18404)), hAPP(c_List_Ofilter(tc_List_Olist(_u18404), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18404)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18404), tc_List_Olist(_u18404), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18404)))), _u18405))) )).
% 12.21/12.47 cnf(matrix-7461, plain, ( ( hAPP(hAPP(c_List_Omap(_u18406, _u18407), _u18408), c_List_Oconcat(_u18406, _u18409)) = c_List_Oconcat(_u18407, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18406), tc_List_Olist(_u18407)), hAPP(c_List_Omap(_u18406, _u18407), _u18408)), _u18409))) )).
% 12.21/12.47 cnf(matrix-7462, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u18410), tc_List_Olist(_u18410), c_List_Oappend(_u18410), _u18411), _u18412) = hAPP(hAPP(c_List_Oappend(_u18410), _u18411), c_List_Oconcat(_u18410, _u18412))) )).
% 12.21/12.47 cnf(matrix-7463, plain, ( ( c_List_Oconcat(_u18413, _u18414) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18413), tc_List_Olist(_u18413), c_List_Oappend(_u18413), c_List_Olist_ONil(_u18413)), _u18414)) )).
% 12.21/12.47 cnf(matrix-7464, plain, ( ( c_List_Omap__filter(_u18415, _u18416, _u18417, c_List_Olist_ONil(_u18415)) = c_List_Olist_ONil(_u18416)) )).
% 12.21/12.47 cnf(matrix-7465, plain, ( ( c_List_Oconcat(_u18418, c_List_Olist_ONil(tc_List_Olist(_u18418))) = c_List_Olist_ONil(_u18418)) )).
% 12.21/12.47 cnf(matrix-7466, plain, ( ( c_List_Oconcat(_u18419, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18419)), _u18420), _u18421)) = hAPP(hAPP(c_List_Oappend(_u18419), _u18420), c_List_Oconcat(_u18419, _u18421))) )).
% 12.21/12.47 cnf(matrix-7467, plain, ( ( c_List_Oconcat(_u18426, _u18428) != c_List_Olist_ONil(_u18426)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18426)), _u18422), hAPP(c_List_Oset(tc_List_Olist(_u18426)), _u18428))) | ( _u18422 = c_List_Olist_ONil(_u18426)) )).
% 12.21/12.47 cnf(matrix-7468, plain, ( ( c_List_Oconcat(_u18427, _u18429) = c_List_Olist_ONil(_u18427)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18427)), skolem460(_u18429, _u18427)), hAPP(c_List_Oset(tc_List_Olist(_u18427)), _u18429))) )).
% 12.21/12.47 cnf(matrix-7469, plain, ( ( c_List_Oconcat(_u18427, _u18429) = c_List_Olist_ONil(_u18427)) | ( skolem460(_u18429, _u18427) != c_List_Olist_ONil(_u18427)) )).
% 12.21/12.47 cnf(matrix-7470, plain, ( ( c_List_Olist_ONil(_u18434) != c_List_Oconcat(_u18434, _u18436)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), _u18430), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18436))) | ( _u18430 = c_List_Olist_ONil(_u18434)) )).
% 12.21/12.47 cnf(matrix-7471, plain, ( ( c_List_Olist_ONil(_u18435) = c_List_Oconcat(_u18435, _u18437)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18435)), skolem461(_u18437, _u18435)), hAPP(c_List_Oset(tc_List_Olist(_u18435)), _u18437))) )).
% 12.21/12.47 cnf(matrix-7472, plain, ( ( c_List_Olist_ONil(_u18435) = c_List_Oconcat(_u18435, _u18437)) | ( skolem461(_u18437, _u18435) != c_List_Olist_ONil(_u18435)) )).
% 12.21/12.47 cnf(matrix-7473, plain, ( ( hAPP(c_List_Ofilter(_u18438, _u18439), c_List_Oconcat(_u18438, _u18440)) = c_List_Oconcat(_u18438, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18438), tc_List_Olist(_u18438)), c_List_Ofilter(_u18438, _u18439)), _u18440))) )).
% 12.21/12.47 cnf(matrix-7474, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18441)), c_List_Oconcat(_u18441, _u18442)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18441), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18441))), _u18442))) )).
% 12.21/12.47 cnf(matrix-7475, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u18443, _u18444), _u18445), _u18446) != hAPP(c_Option_Ooption_OSome(_u18444), _u18447)) | ~hBOOL(hAPP(hAPP(_u18448, _u18446), _u18447)) | ( hAPP(hAPP(c_Map_Omap__of(_u18443, _u18444), hAPP(c_List_Ofilter(tc_prod(_u18443, _u18444), hAPP(c_Product__Type_Oprod_Oprod__case(_u18443, _u18444, tc_HOL_Obool), _u18448)), _u18445)), _u18446) = hAPP(c_Option_Ooption_OSome(_u18444), _u18447)) )).
% 12.21/12.47 cnf(matrix-7476, plain, ( ( c_List_Omap__filter(_u18449, _u18450, _u18451, hAPP(hAPP(c_List_Olist_OCons(_u18449), _u18452), _u18453)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u18450), _u18450, c_List_Omap__filter(_u18449, _u18450, _u18451, _u18453), hAPP(hAPP(c_COMBC(_u18450, tc_List_Olist(_u18450), tc_List_Olist(_u18450)), c_List_Olist_OCons(_u18450)), c_List_Omap__filter(_u18449, _u18450, _u18451, _u18453))), hAPP(_u18451, _u18452))) )).
% 12.21/12.47 cnf(matrix-7477, plain, ( ( hAPP(c_List_Oset(_u18454), c_List_Oconcat(_u18454, _u18455)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18454), tc_fun(_u18454, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18454)), _u18455)), c_List_Oset(_u18454))) )).
% 12.21/12.47 cnf(matrix-7478, plain, ( ( c_List_Oconcat(_u18456, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u18456)), _u18457), _u18458)) = hAPP(hAPP(c_List_Oappend(_u18456), c_List_Oconcat(_u18456, _u18457)), c_List_Oconcat(_u18456, _u18458))) )).
% 12.21/12.47 cnf(matrix-7479, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18459, tc_Nat_Onat), _u18459), c_Product__Type_Ofst(_u18459, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18459, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18459, tc_Nat_Onat)), _u18460), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18459, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18459, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18459, tc_Nat_Onat), _u18461), _u18462))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18459, tc_Nat_Onat), _u18459), c_Product__Type_Ofst(_u18459, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18459, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18459, tc_Nat_Onat)), _u18460), c_Product__Type_Osnd(_u18459, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18459, tc_Nat_Onat), _u18461), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18462))))) )).
% 12.21/12.47 cnf(matrix-7480, plain, ( ( c_Random_Opick(_u18463, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18463), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18463, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18463, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18463)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18464)) = c_Random_Opick(_u18463, _u18464)) )).
% 12.21/12.47 cnf(matrix-7481, plain, ( ( c_Random_Oselect__weight(_u18465, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18465), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18465, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18465, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18465)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18466)) = c_Random_Oselect__weight(_u18465, _u18466)) )).
% 12.21/12.47 cnf(matrix-7482, plain, ( ( c_List_Otranspose(_u18467, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18467)), hAPP(hAPP(c_List_Olist_OCons(_u18467), _u18468), _u18469)), _u18470)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18467)), hAPP(hAPP(c_List_Olist_OCons(_u18467), _u18468), c_List_Oconcat(_u18467, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18467), tc_List_Olist(_u18467)), c_List_Olist_Olist__case(tc_List_Olist(_u18467), _u18467, c_List_Olist_ONil(_u18467), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18467), tc_fun(tc_List_Olist(_u18467), tc_List_Olist(_u18467)), _u18467), c_COMBK(tc_List_Olist(_u18467), tc_List_Olist(_u18467))), hAPP(hAPP(c_COMBC(_u18467, tc_List_Olist(_u18467), tc_List_Olist(_u18467)), c_List_Olist_OCons(_u18467)), c_List_Olist_ONil(_u18467))))), _u18470)))), c_List_Otranspose(_u18467, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18467)), _u18469), c_List_Oconcat(tc_List_Olist(_u18467), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18467), tc_List_Olist(tc_List_Olist(_u18467))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18467)), _u18467, c_List_Olist_ONil(tc_List_Olist(_u18467)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18467), tc_List_Olist(tc_List_Olist(_u18467))), _u18467), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18467), tc_List_Olist(tc_List_Olist(_u18467)), tc_List_Olist(tc_List_Olist(_u18467))), c_List_Olist_OCons(tc_List_Olist(_u18467))), c_List_Olist_ONil(tc_List_Olist(_u18467)))))), _u18470)))))) )).
% 12.21/12.47 cnf(matrix-7483, plain, ( ( c_List_Oconcat(_u18472, _u18473) != c_List_Oconcat(_u18472, _u18474)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18473) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18474)) | ( _u18473 = _u18474) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18472), tc_List_Olist(_u18472))), skolem462(_u18474, _u18473, _u18472)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18472), tc_List_Olist(_u18472))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18472), tc_List_Olist(_u18472)), _u18473), _u18474)))) )).
% 12.21/12.47 cnf(matrix-7484, plain, ( ( c_List_Oconcat(_u18472, _u18473) != c_List_Oconcat(_u18472, _u18474)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18473) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18472))), _u18474)) | ( _u18473 = _u18474) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18472), tc_List_Olist(_u18472), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18472), tc_fun(tc_List_Olist(_u18472), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18472), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18472), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18472), tc_HOL_Obool)), tc_List_Olist(_u18472)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18472))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18472)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18472))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18472)))), skolem462(_u18474, _u18473, _u18472))) )).
% 12.21/12.47 cnf(matrix-7485, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), skolem463(_u18478, _u18477, _u18476)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18476), tc_List_Olist(_u18476)), _u18477), _u18478)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( c_List_Oconcat(_u18476, _u18477) != c_List_Oconcat(_u18476, _u18478)) | ( _u18477 = _u18478) )).
% 12.21/12.47 cnf(matrix-7486, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), skolem463(_u18478, _u18477, _u18476)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18476), tc_List_Olist(_u18476))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18476), tc_List_Olist(_u18476)), _u18477), _u18478)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( _u18477 != _u18478) | ( c_List_Oconcat(_u18476, _u18477) = c_List_Oconcat(_u18476, _u18478)) )).
% 12.21/12.47 cnf(matrix-7487, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18476), tc_List_Olist(_u18476), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18476), tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), tc_List_Olist(_u18476)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18476))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18476)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476)))), skolem463(_u18478, _u18477, _u18476))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( c_List_Oconcat(_u18476, _u18477) != c_List_Oconcat(_u18476, _u18478)) | ( _u18477 = _u18478) )).
% 12.21/12.47 cnf(matrix-7488, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18476), tc_List_Olist(_u18476), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18476), tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18476), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18476), tc_HOL_Obool)), tc_List_Olist(_u18476)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18476))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18476)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18476)))), skolem463(_u18478, _u18477, _u18476))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18477) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18476))), _u18478)) | ( _u18477 != _u18478) | ( c_List_Oconcat(_u18476, _u18477) = c_List_Oconcat(_u18476, _u18478)) )).
% 12.21/12.47 cnf(matrix-7489, plain, ( ( c_List_Oconcat(_u18479, hAPP(hAPP(c_List_Omap(_u18480, tc_List_Olist(_u18479)), hAPP(hAPP(c_COMBC(_u18480, tc_List_Olist(_u18479), tc_List_Olist(_u18479)), hAPP(hAPP(c_COMBB(_u18479, tc_fun(tc_List_Olist(_u18479), tc_List_Olist(_u18479)), _u18480), c_List_Olist_OCons(_u18479)), _u18481)), c_List_Olist_ONil(_u18479))), _u18482)) = hAPP(hAPP(c_List_Omap(_u18480, _u18479), _u18481), _u18482)) )).
% 12.21/12.47 cnf(matrix-7490, plain, ( ( c_Enum_On__lists(_u18483, hAPP(c_Nat_OSuc, _u18484), _u18485) = c_List_Oconcat(tc_List_Olist(_u18483), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18483), tc_List_Olist(tc_List_Olist(_u18483))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18483), tc_List_Olist(_u18483), tc_List_Olist(tc_List_Olist(_u18483))), hAPP(hAPP(c_COMBB(tc_fun(_u18483, tc_List_Olist(_u18483)), tc_fun(tc_List_Olist(_u18483), tc_List_Olist(tc_List_Olist(_u18483))), tc_List_Olist(_u18483)), c_List_Omap(_u18483, tc_List_Olist(_u18483))), hAPP(c_COMBC(_u18483, tc_List_Olist(_u18483), tc_List_Olist(_u18483)), c_List_Olist_OCons(_u18483)))), _u18485)), c_Enum_On__lists(_u18483, _u18484, _u18485)))) )).
% 12.21/12.47 cnf(matrix-7491, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18486)), c_List_Otranspose__rel(_u18486)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), hAPP(hAPP(c_List_Olist_OCons(_u18486), _u18487), _u18488)), _u18489))) | ( c_List_Otranspose(_u18486, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), hAPP(hAPP(c_List_Olist_OCons(_u18486), _u18487), _u18488)), _u18489)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), hAPP(hAPP(c_List_Olist_OCons(_u18486), _u18487), c_List_Oconcat(_u18486, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), c_List_Olist_Olist__case(tc_List_Olist(_u18486), _u18486, c_List_Olist_ONil(_u18486), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18486), tc_fun(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18486), c_COMBK(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_COMBC(_u18486, tc_List_Olist(_u18486), tc_List_Olist(_u18486)), c_List_Olist_OCons(_u18486)), c_List_Olist_ONil(_u18486))))), _u18489)))), c_List_Otranspose(_u18486, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18486)), _u18488), c_List_Oconcat(tc_List_Olist(_u18486), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18486), tc_List_Olist(tc_List_Olist(_u18486))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18486)), _u18486, c_List_Olist_ONil(tc_List_Olist(_u18486)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18486), tc_List_Olist(tc_List_Olist(_u18486))), _u18486), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18486), tc_List_Olist(tc_List_Olist(_u18486)), tc_List_Olist(tc_List_Olist(_u18486))), c_List_Olist_OCons(tc_List_Olist(_u18486))), c_List_Olist_ONil(tc_List_Olist(_u18486)))))), _u18489)))))) )).
% 12.21/12.47 cnf(matrix-7492, plain, ( ( c_List_Oconcat(tc_List_Olist(_u18490), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18490), tc_List_Olist(tc_List_Olist(_u18490))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18490)), _u18490, c_List_Olist_ONil(tc_List_Olist(_u18490)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18490), tc_List_Olist(tc_List_Olist(_u18490))), _u18490), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18490), tc_List_Olist(tc_List_Olist(_u18490)), tc_List_Olist(tc_List_Olist(_u18490))), c_List_Olist_OCons(tc_List_Olist(_u18490))), c_List_Olist_ONil(tc_List_Olist(_u18490)))))), _u18491)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18490), tc_List_Olist(_u18490)), c_List_Otl(_u18490)), hAPP(c_List_Ofilter(tc_List_Olist(_u18490), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18490)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18490), tc_List_Olist(_u18490), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18490)))), _u18491))) )).
% 12.21/12.47 cnf(matrix-7493, plain, ( ( hAPP(hAPP(c_List_Omap(_u18492, _u18493), _u18494), hAPP(c_List_Ofilter(_u18492, _u18495), _u18496)) = c_List_Omap__filter(_u18492, _u18493, hAPP(hAPP(c_COMBC(_u18492, tc_Option_Ooption(_u18493), tc_Option_Ooption(_u18493)), hAPP(hAPP(c_COMBS(_u18492, tc_Option_Ooption(_u18493), tc_fun(tc_Option_Ooption(_u18493), tc_Option_Ooption(_u18493))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u18493), tc_fun(tc_Option_Ooption(_u18493), tc_Option_Ooption(_u18493))), _u18492), c_If(tc_Option_Ooption(_u18493))), _u18495)), hAPP(hAPP(c_COMBB(_u18493, tc_Option_Ooption(_u18493), _u18492), c_Option_Ooption_OSome(_u18493)), _u18494))), c_Option_Ooption_ONone(_u18493)), _u18496)) )).
% 12.21/12.47 cnf(matrix-7494, plain, ( ( c_List_Osublist(_u18497, _u18498, _u18499) = hAPP(hAPP(c_List_Omap(tc_prod(_u18497, tc_Nat_Onat), _u18497), c_Product__Type_Ofst(_u18497, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18497, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18497, 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(_u18497, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18497, tc_Nat_Onat))), _u18499)), hAPP(hAPP(c_List_Ozip(_u18497, tc_Nat_Onat), _u18498), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18497)), _u18498)))))) )).
% 12.21/12.47 cnf(matrix-7495, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18500, tc_Nat_Onat), _u18500), c_Product__Type_Ofst(_u18500, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18500, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18500, 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(_u18500, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18500, tc_Nat_Onat))), _u18501)), hAPP(hAPP(c_List_Ozip(_u18500, tc_Nat_Onat), _u18502), c_List_Oupt(_u18503, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18503), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18500)), _u18502)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18500, tc_Nat_Onat), _u18500), c_Product__Type_Ofst(_u18500, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18500, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18500, 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(_u18500, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18500, 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(_u18500, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18500, tc_Nat_Onat))), _u18503))), _u18501)), hAPP(hAPP(c_List_Ozip(_u18500, tc_Nat_Onat), _u18502), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18500)), _u18502)))))) )).
% 12.21/12.47 cnf(matrix-7496, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18504, _u18505)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18504), hAPP(c_Nat_OSuc, _u18505))) )).
% 12.21/12.47 cnf(matrix-7497, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18506), c_List_Oupt(_u18507, _u18508)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18507), _u18506), _u18508)) )).
% 12.21/12.47 cnf(matrix-7498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), _u18510)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18509, _u18510)) = _u18509) )).
% 12.21/12.47 cnf(matrix-7499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18513), _u18515)) | ( c_List_Oupt(_u18513, hAPP(c_Nat_OSuc, _u18515)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18513, _u18515)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18515), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-7500, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), _u18516)) | ( c_List_Oupt(_u18514, hAPP(c_Nat_OSuc, _u18516)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18517), _u18518)) | ( c_List_Oupt(_u18517, hAPP(c_Nat_OSuc, _u18518)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18517, _u18518)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18518), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-7502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18519), _u18520)) | ( c_List_Oupt(_u18519, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18520), _u18521)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18519, _u18520)), c_List_Oupt(_u18520, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18520), _u18521)))) )).
% 12.21/12.47 cnf(matrix-7503, plain, ( ( c_List_Oupt(_u18522, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18523), _u18524)) | ( c_List_Oupt(_u18524, _u18523) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7505, plain, ( ( c_List_Oupt(_u18527, _u18529) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18529), _u18527)) )).
% 12.21/12.47 cnf(matrix-7506, plain, ( ( c_List_Oupt(_u18528, _u18530) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7507, plain, ( ( c_List_Oupt(_u18528, _u18530) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18530), _u18528)) )).
% 12.21/12.47 cnf(matrix-7508, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18531, _u18532)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18531), _u18532)) )).
% 12.21/12.47 cnf(matrix-7509, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18533), _u18534) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18533, _u18534))) )).
% 12.21/12.47 cnf(matrix-7510, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18535, _u18536))) )).
% 12.21/12.47 cnf(matrix-7511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18537), _u18538)), _u18539)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18538), c_List_Oupt(_u18537, _u18539)) = c_List_Oupt(_u18537, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18537), _u18538))) )).
% 12.21/12.47 cnf(matrix-7512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18540), _u18541)) | ( c_List_Oupt(_u18540, _u18541) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18540), c_List_Oupt(hAPP(c_Nat_OSuc, _u18540), _u18541))) )).
% 12.21/12.47 cnf(matrix-7513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18544), _u18546)) | ( c_List_Oupt(_u18544, _u18546) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18544), c_List_Oupt(hAPP(c_Nat_OSuc, _u18544), _u18546))) )).
% 12.21/12.47 cnf(matrix-7514, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18545), _u18547)) | ( c_List_Oupt(_u18545, _u18547) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7515, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18548, _u18549)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18549), _u18548)) )).
% 12.21/12.47 cnf(matrix-7516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18554))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18554)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18552)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18554)))) )).
% 12.21/12.47 cnf(matrix-7517, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18553)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18555))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18553), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18555)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7518, plain, ( ( c_List_Oupt(_u18560, _u18562) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18564), _u18566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18560), _u18562)) )).
% 12.21/12.47 cnf(matrix-7519, plain, ( ( c_List_Oupt(_u18560, _u18562) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18564), _u18566)) | ( _u18560 = _u18564) )).
% 12.21/12.47 cnf(matrix-7520, plain, ( ( c_List_Oupt(_u18560, _u18562) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18564), _u18566)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18560), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18562) = _u18566) )).
% 12.21/12.47 cnf(matrix-7521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18561), _u18563)) | ( _u18561 != _u18565) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18561), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18563) != _u18567) | ( c_List_Oupt(_u18561, _u18563) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18565), _u18567)) )).
% 12.21/12.47 cnf(matrix-7522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18568), _u18569)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18568, _u18569)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18569), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7523, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18570), hAPP(c_List_Onth(_u18570), _u18571)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18570)), _u18571))) = _u18571) )).
% 12.21/12.47 cnf(matrix-7524, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18572, _u18573) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18572, hAPP(c_Nat_OSuc, _u18573)))) )).
% 12.21/12.47 cnf(matrix-7525, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18574) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18574))) )).
% 12.21/12.47 cnf(matrix-7526, plain, ( ~class_Groups_Ocomm__monoid__add(_u18575) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18575), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18575), _u18576), c_List_Oupt(_u18577, _u18578))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18575), _u18576), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18577, _u18578)))) )).
% 12.21/12.47 cnf(matrix-7527, plain, ( ~class_Groups_Ocomm__monoid__add(_u18579) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18579), _u18580), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18581, _u18582))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18579), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18579), _u18580), c_List_Oupt(_u18581, _u18582)))) )).
% 12.21/12.47 cnf(matrix-7528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18583), _u18584)), _u18585)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18583, _u18585)), _u18584) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18583), _u18584)) )).
% 12.21/12.47 cnf(matrix-7529, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18586, _u18587) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18586), hAPP(c_Nat_OSuc, _u18587)))) )).
% 12.21/12.47 cnf(matrix-7530, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18588, _u18589) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18588), _u18589))) )).
% 12.21/12.47 cnf(matrix-7531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18591), _u18592))) | ( hAPP(hAPP(c_List_Onth(_u18593), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18593), _u18594), c_List_Oupt(_u18592, _u18591))), _u18590) = hAPP(_u18594, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18592), _u18590))) )).
% 12.21/12.47 cnf(matrix-7532, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18595) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18595)))) )).
% 12.21/12.47 cnf(matrix-7533, plain, ( ( _u18597 = c_List_Olist_ONil(tc_List_Olist(_u18598))) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18599, _u18598, _u18597)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597))) )).
% 12.21/12.47 cnf(matrix-7534, plain, ( ( _u18597 = c_List_Olist_ONil(tc_List_Olist(_u18598))) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597), skolem464(_u18599, _u18598, _u18597))) != _u18599) )).
% 12.21/12.47 cnf(matrix-7535, plain, ( ( _u18599 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18599, _u18598, _u18597)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597))) )).
% 12.21/12.47 cnf(matrix-7536, plain, ( ( _u18599 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18598, _u18597) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18598), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18598)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18598)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18598), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18598), tc_fun(tc_Nat_Onat, _u18598), tc_Nat_Onat), c_List_Onth(_u18598)), hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18598))), _u18597)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18599))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18598)), _u18597), skolem464(_u18599, _u18598, _u18597))) != _u18599) )).
% 12.21/12.47 cnf(matrix-7537, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18600)), c_List_Oremdups(_u18600, c_List_Oconcat(_u18600, _u18601))) = hAPP(c_Finite__Set_Ocard(_u18600), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18600), tc_fun(_u18600, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18600)), _u18601)), c_List_Oset(_u18600)))) )).
% 12.21/12.47 cnf(matrix-7538, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18602), c_List_Oremdups(_u18602, _u18603))) )).
% 12.21/12.47 cnf(matrix-7539, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18604)), c_List_Oremdups(_u18604, _u18605))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18604)), _u18605))) )).
% 12.21/12.47 cnf(matrix-7540, plain, ( ( c_List_Oremdups(_u18606, hAPP(c_List_Ofilter(_u18606, _u18607), _u18608)) = hAPP(c_List_Ofilter(_u18606, _u18607), c_List_Oremdups(_u18606, _u18608))) )).
% 12.21/12.47 cnf(matrix-7541, plain, ( ( c_List_Oremdups(_u18609, hAPP(hAPP(c_List_Omap(_u18610, _u18609), _u18611), c_List_Oremdups(_u18610, _u18612))) = c_List_Oremdups(_u18609, hAPP(hAPP(c_List_Omap(_u18610, _u18609), _u18611), _u18612))) )).
% 12.21/12.47 cnf(matrix-7542, plain, ( ( hAPP(c_List_Oset(_u18613), c_List_Oremdups(_u18613, _u18614)) = hAPP(c_List_Oset(_u18613), _u18614)) )).
% 12.21/12.47 cnf(matrix-7543, plain, ( ( c_List_Oremdups(_u18615, c_List_Oremdups(_u18615, _u18616)) = c_List_Oremdups(_u18615, _u18616)) )).
% 12.21/12.47 cnf(matrix-7544, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18617), _u18618)) | ( c_List_Oremdups(_u18617, _u18618) = _u18618) )).
% 12.21/12.47 cnf(matrix-7545, plain, ( ( c_List_Oremdups(_u18621, _u18623) != _u18623) | hBOOL(hAPP(c_List_Odistinct(_u18621), _u18623)) )).
% 12.21/12.47 cnf(matrix-7546, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18622), _u18624)) | ( c_List_Oremdups(_u18622, _u18624) = _u18624) )).
% 12.21/12.47 cnf(matrix-7547, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18627)), c_List_Oremdups(_u18627, _u18629)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18627)), _u18629)) | ( c_List_Oremdups(_u18627, _u18629) = _u18629) )).
% 12.21/12.47 cnf(matrix-7548, plain, ( ( c_List_Oremdups(_u18628, _u18630) != _u18630) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18628)), c_List_Oremdups(_u18628, _u18630)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18628)), _u18630)) )).
% 12.21/12.47 cnf(matrix-7549, plain, ( ( c_List_Oremdups(_u18631, c_List_Olist_ONil(_u18631)) = c_List_Olist_ONil(_u18631)) )).
% 12.21/12.47 cnf(matrix-7550, plain, ( ( c_List_Olist_ONil(_u18634) != c_List_Oremdups(_u18634, _u18636)) | ( _u18636 = c_List_Olist_ONil(_u18634)) )).
% 12.21/12.47 cnf(matrix-7551, plain, ( ( _u18637 != c_List_Olist_ONil(_u18635)) | ( c_List_Olist_ONil(_u18635) = c_List_Oremdups(_u18635, _u18637)) )).
% 12.21/12.47 cnf(matrix-7552, plain, ( ( c_List_Oremdups(_u18640, _u18642) != c_List_Olist_ONil(_u18640)) | ( _u18642 = c_List_Olist_ONil(_u18640)) )).
% 12.21/12.47 cnf(matrix-7553, plain, ( ( _u18643 != c_List_Olist_ONil(_u18641)) | ( c_List_Oremdups(_u18641, _u18643) = c_List_Olist_ONil(_u18641)) )).
% 12.21/12.47 cnf(matrix-7554, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18647), _u18649), hAPP(c_List_Oset(_u18647), _u18651))) | ( c_List_Oremdups(_u18647, hAPP(hAPP(c_List_Olist_OCons(_u18647), _u18649), _u18651)) = c_List_Oremdups(_u18647, _u18651)) )).
% 12.21/12.47 cnf(matrix-7555, plain, ( hBOOL(hAPP(hAPP(c_member(_u18648), _u18650), hAPP(c_List_Oset(_u18648), _u18652))) | ( c_List_Oremdups(_u18648, hAPP(hAPP(c_List_Olist_OCons(_u18648), _u18650), _u18652)) = hAPP(hAPP(c_List_Olist_OCons(_u18648), _u18650), c_List_Oremdups(_u18648, _u18652))) )).
% 12.21/12.47 cnf(matrix-7556, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18653)), c_List_Oremdups(_u18653, _u18654)) = hAPP(c_Finite__Set_Ocard(_u18653), hAPP(c_List_Oset(_u18653), _u18654))) )).
% 12.21/12.47 cnf(matrix-7557, plain, ( ~c_Finite__Set_Ofun__left__comm(_u18655, _u18656, _u18657) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u18655, _u18656, _u18657), _u18658), hAPP(c_List_Oset(_u18655), _u18659)) = hAPP(c_List_Ofoldl(_u18656, _u18655, hAPP(c_COMBC(_u18655, _u18656, _u18656), _u18657), _u18658), c_List_Oremdups(_u18655, _u18659))) )).
% 12.21/12.47 cnf(matrix-7558, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-7559, plain, ( ~class_Groups_Omonoid__add(_u18661) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), hAPP(c_List_Ofilter(_u18662, _u18664), _u18663))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), _u18663))) | hBOOL(hAPP(hAPP(c_member(_u18662), skolem465(_u18665, _u18664, _u18663, _u18662, _u18661)), hAPP(c_List_Oset(_u18662), _u18663))) )).
% 12.21/12.47 cnf(matrix-7560, plain, ( ~class_Groups_Omonoid__add(_u18661) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), hAPP(c_List_Ofilter(_u18662, _u18664), _u18663))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), _u18663))) | ~hBOOL(hAPP(_u18664, skolem465(_u18665, _u18664, _u18663, _u18662, _u18661))) )).
% 12.21/12.47 cnf(matrix-7561, plain, ( ~class_Groups_Omonoid__add(_u18661) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), hAPP(c_List_Ofilter(_u18662, _u18664), _u18663))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18661), hAPP(hAPP(c_List_Omap(_u18662, _u18661), _u18665), _u18663))) | ( hAPP(_u18665, skolem465(_u18665, _u18664, _u18663, _u18662, _u18661)) != c_Groups_Ozero__class_Ozero(_u18661)) )).
% 12.21/12.47 cnf(matrix-7562, plain, ( ( c_List_Oreturn__list(_u18666) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18666)) )).
% 12.21/12.47 cnf(matrix-7563, plain, ( ~c_List_Onat__list(_u18667) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18667)) = _u18667) )).
% 12.21/12.47 cnf(matrix-7564, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18668), _u18669) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18668)), c_List_Oembed__list(_u18669)))) )).
% 12.21/12.47 cnf(matrix-7565, plain, ( ( c_List_Oembed__list(_u18670) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18670)) )).
% 12.21/12.47 cnf(matrix-7566, plain, ( ~class_Groups_Ocomm__monoid__add(_u18671) | ~hBOOL(hAPP(hAPP(c_member(_u18672), _u18673), hAPP(c_List_Oset(_u18672), _u18674))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18671), hAPP(hAPP(c_List_Omap(_u18672, _u18671), _u18675), _u18674)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18671), hAPP(_u18675, _u18673)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18671), hAPP(hAPP(c_List_Omap(_u18672, _u18671), _u18675), c_List_Oremove1(_u18672, _u18673, _u18674))))) )).
% 12.21/12.47 cnf(matrix-7567, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18676), _u18677)) | ( hAPP(c_List_Oset(_u18676), c_List_Oremove1(_u18676, _u18678, _u18677)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18676, tc_HOL_Obool)), hAPP(c_List_Oset(_u18676), _u18677)), hAPP(hAPP(c_Set_Oinsert(_u18676), _u18678), c_Orderings_Obot__class_Obot(tc_fun(_u18676, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-7568, plain, ( ( _u18683 != _u18685) | ( c_List_Oremove1(_u18687, _u18683, hAPP(hAPP(c_List_Olist_OCons(_u18687), _u18685), _u18689)) = _u18689) )).
% 12.21/12.47 cnf(matrix-7569, plain, ( ( _u18684 = _u18686) | ( c_List_Oremove1(_u18688, _u18684, hAPP(hAPP(c_List_Olist_OCons(_u18688), _u18686), _u18690)) = hAPP(hAPP(c_List_Olist_OCons(_u18688), _u18686), c_List_Oremove1(_u18688, _u18684, _u18690))) )).
% 12.21/12.47 cnf(matrix-7570, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18691), _u18692)) | ( c_List_Oremove1(_u18691, _u18693, c_List_Oremdups(_u18691, _u18692)) = c_List_Oremdups(_u18691, c_List_Oremove1(_u18691, _u18693, _u18692))) )).
% 12.21/12.47 cnf(matrix-7571, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18694), _u18695)) | hBOOL(hAPP(c_List_Odistinct(_u18694), c_List_Oremove1(_u18694, _u18696, _u18695))) )).
% 12.21/12.47 cnf(matrix-7572, plain, ( ( c_List_Oremove1(_u18697, _u18698, c_List_Olist_ONil(_u18697)) = c_List_Olist_ONil(_u18697)) )).
% 12.21/12.47 cnf(matrix-7573, plain, ( ( c_List_Oremove1(_u18699, _u18700, c_List_Oremove1(_u18699, _u18701, _u18702)) = c_List_Oremove1(_u18699, _u18701, c_List_Oremove1(_u18699, _u18700, _u18702))) )).
% 12.21/12.47 cnf(matrix-7574, plain, ( hBOOL(hAPP(hAPP(c_member(_u18703), _u18704), hAPP(c_List_Oset(_u18703), _u18705))) | ( c_List_Oremove1(_u18703, _u18704, _u18705) = _u18705) )).
% 12.21/12.47 cnf(matrix-7575, plain, ( hBOOL(hAPP(hAPP(c_member(_u18706), _u18707), hAPP(c_List_Oset(_u18706), _u18708))) | ~hBOOL(hAPP(hAPP(c_member(_u18706), _u18707), hAPP(c_List_Oset(_u18706), c_List_Oremove1(_u18706, _u18709, _u18708)))) )).
% 12.21/12.47 cnf(matrix-7576, plain, ( ( _u18710 = _u18711) | ~hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), c_List_Oremove1(_u18712, _u18711, _u18713)))) | hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), _u18713))) )).
% 12.21/12.47 cnf(matrix-7577, plain, ( ( _u18710 = _u18711) | ~hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), _u18713))) | hBOOL(hAPP(hAPP(c_member(_u18712), _u18710), hAPP(c_List_Oset(_u18712), c_List_Oremove1(_u18712, _u18711, _u18713)))) )).
% 12.21/12.47 cnf(matrix-7578, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18714, tc_HOL_Obool)), hAPP(c_List_Oset(_u18714), c_List_Oremove1(_u18714, _u18715, _u18716))), hAPP(c_List_Oset(_u18714), _u18716))) )).
% 12.21/12.47 cnf(matrix-7579, plain, ( hBOOL(hAPP(_u18717, _u18718)) | ( c_List_Oremove1(_u18719, _u18718, hAPP(c_List_Ofilter(_u18719, _u18717), _u18720)) = hAPP(c_List_Ofilter(_u18719, _u18717), _u18720)) )).
% 12.21/12.47 cnf(matrix-7580, plain, ( ( hAPP(c_List_Ofilter(_u18721, _u18722), c_List_Oremove1(_u18721, _u18723, _u18724)) = c_List_Oremove1(_u18721, _u18723, hAPP(c_List_Ofilter(_u18721, _u18722), _u18724))) )).
% 12.21/12.47 cnf(matrix-7581, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18729), _u18731), hAPP(c_List_Oset(_u18729), _u18733))) | ( c_List_Oremove1(_u18729, _u18731, hAPP(hAPP(c_List_Oappend(_u18729), _u18733), _u18735)) = hAPP(hAPP(c_List_Oappend(_u18729), c_List_Oremove1(_u18729, _u18731, _u18733)), _u18735)) )).
% 12.21/12.47 cnf(matrix-7582, plain, ( hBOOL(hAPP(hAPP(c_member(_u18730), _u18732), hAPP(c_List_Oset(_u18730), _u18734))) | ( c_List_Oremove1(_u18730, _u18732, hAPP(hAPP(c_List_Oappend(_u18730), _u18734), _u18736)) = hAPP(hAPP(c_List_Oappend(_u18730), _u18734), c_List_Oremove1(_u18730, _u18732, _u18736))) )).
% 12.21/12.47 cnf(matrix-7583, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18740), _u18742), hAPP(c_List_Oset(_u18740), _u18744))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18740)), c_List_Oremove1(_u18740, _u18742, _u18744)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18740)), _u18744)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.21/12.47 cnf(matrix-7584, plain, ( hBOOL(hAPP(hAPP(c_member(_u18741), _u18743), hAPP(c_List_Oset(_u18741), _u18745))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18741)), c_List_Oremove1(_u18741, _u18743, _u18745)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18741)), _u18745)) )).
% 12.21/12.47 cnf(matrix-7585, plain, ( ~class_Orderings_Olinorder(_u18746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18746), _u18747)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18746, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18746, tc_HOL_Obool)), _u18747), hAPP(hAPP(c_Set_Oinsert(_u18746), _u18748), c_Orderings_Obot__class_Obot(tc_fun(_u18746, tc_HOL_Obool))))) = c_List_Oremove1(_u18746, _u18748, c_List_Olinorder__class_Osorted__list__of__set(_u18746, _u18747))) )).
% 12.21/12.47 cnf(matrix-7586, plain, ( ( c_List_Opartition(_u18749, _u18750, _u18751) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18749), tc_List_Olist(_u18749)), _u18752), _u18753)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18749, tc_HOL_Obool)), hAPP(c_List_Oset(_u18749), _u18752)), hAPP(c_List_Oset(_u18749), _u18753)) = hAPP(c_List_Oset(_u18749), _u18751)) )).
% 12.21/12.47 cnf(matrix-7587, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u18754), tc_List_Olist(_u18754)), c_List_Opartition(_u18754, _u18755, _u18756)) = hAPP(c_List_Ofilter(_u18754, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18754, c_fNot), _u18755)), _u18756)) )).
% 12.21/12.47 cnf(matrix-7588, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u18757), tc_List_Olist(_u18757)), c_List_Opartition(_u18757, _u18758, _u18759)) = hAPP(c_List_Ofilter(_u18757, _u18758), _u18759)) )).
% 12.21/12.47 cnf(matrix-7589, plain, ( ~class_Orderings_Olinorder(_u18760) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18760, c_Orderings_Obot__class_Obot(tc_fun(_u18760, tc_HOL_Obool))) = c_List_Olist_ONil(_u18760)) )).
% 12.21/12.47 cnf(matrix-7590, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18761), _u18762)) = c_List_Oupt(_u18761, _u18762)) )).
% 12.21/12.47 cnf(matrix-7591, plain, ( ( c_List_Opartition(_u18765, _u18766, _u18767) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18765), tc_List_Olist(_u18765)), _u18768), _u18769)) | ~hBOOL(hAPP(hAPP(c_member(_u18765), _u18763), hAPP(c_List_Oset(_u18765), _u18768))) | hBOOL(hAPP(_u18766, _u18763)) )).
% 12.21/12.47 cnf(matrix-7592, plain, ( ( c_List_Opartition(_u18765, _u18766, _u18767) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18765), tc_List_Olist(_u18765)), _u18768), _u18769)) | ~hBOOL(hAPP(hAPP(c_member(_u18765), _u18764), hAPP(c_List_Oset(_u18765), _u18769))) | ~hBOOL(hAPP(_u18766, _u18764)) )).
% 12.21/12.47 cnf(matrix-7593, plain, ( ( c_List_Opartition(_u18770, _u18771, c_List_Olist_ONil(_u18770)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18770), tc_List_Olist(_u18770)), c_List_Olist_ONil(_u18770)), c_List_Olist_ONil(_u18770))) )).
% 12.21/12.47 cnf(matrix-7594, plain, ( ( c_List_Opartition(_u18772, _u18773, _u18774) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18772), tc_List_Olist(_u18772)), hAPP(c_List_Ofilter(_u18772, _u18773), _u18774)), hAPP(c_List_Ofilter(_u18772, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18772, c_fNot), _u18773)), _u18774))) )).
% 12.21/12.47 cnf(matrix-7595, plain, ( ( c_List_Opartition(_u18775, _u18776, hAPP(hAPP(c_List_Olist_OCons(_u18775), _u18777), _u18778)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18775), tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18775), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18775), tc_fun(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_fun(tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_List_Olist(_u18775)), c_COMBS(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_List_Olist(_u18775), tc_fun(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_List_Olist(_u18775)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_fun(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_List_Olist(_u18775)), hAPP(c_If(tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), hAPP(_u18776, _u18777)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18775), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_List_Olist(_u18775)), c_Product__Type_OPair(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), hAPP(c_List_Olist_OCons(_u18775), _u18777))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18775), tc_fun(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775))), tc_fun(tc_fun(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_fun(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), tc_List_Olist(_u18775)), c_COMBB(tc_List_Olist(_u18775), tc_prod(tc_List_Olist(_u18775), tc_List_Olist(_u18775)), tc_List_Olist(_u18775))), c_Product__Type_OPair(tc_List_Olist(_u18775), tc_List_Olist(_u18775)))), hAPP(c_List_Olist_OCons(_u18775), _u18777)))), c_List_Opartition(_u18775, _u18776, _u18778))) )).
% 12.21/12.47 cnf(matrix-7596, plain, ( ~class_Orderings_Olinorder(_u18779) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18779), _u18780)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18779, hAPP(hAPP(c_Set_Oinsert(_u18779), _u18781), _u18780)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18779, _u18779, c_COMBI(_u18779)), _u18781), c_List_Olinorder__class_Osorted__list__of__set(_u18779, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18779, tc_HOL_Obool)), _u18780), hAPP(hAPP(c_Set_Oinsert(_u18779), _u18781), c_Orderings_Obot__class_Obot(tc_fun(_u18779, tc_HOL_Obool))))))) )).
% 12.21/12.47 cnf(matrix-7597, plain, ( ~class_Orderings_Olinorder(_u18782) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18782, hAPP(c_List_Oset(_u18782), _u18783)) = c_List_Olinorder__class_Osort__key(_u18782, _u18782, c_COMBI(_u18782), c_List_Oremdups(_u18782, _u18783))) )).
% 12.21/12.47 cnf(matrix-7598, plain, ( ~class_Orderings_Olinorder(_u18784) | ( c_List_Olinorder__class_Osort__key(_u18784, _u18784, c_COMBI(_u18784), _u18785) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18784), _u18784, hAPP(c_COMBC(_u18784, tc_List_Olist(_u18784), tc_List_Olist(_u18784)), c_List_Olinorder__class_Oinsort__key(_u18784, _u18784, c_COMBI(_u18784))), c_List_Olist_ONil(_u18784)), _u18785)) )).
% 12.21/12.47 cnf(matrix-7599, plain, ( ~class_Orderings_Olinorder(_u18786) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18787, _u18786, _u18788), _u18789), c_List_Olist_ONil(_u18787)) = hAPP(hAPP(c_List_Olist_OCons(_u18787), _u18789), c_List_Olist_ONil(_u18787))) )).
% 12.21/12.47 cnf(matrix-7600, plain, ( ~class_Orderings_Olinorder(_u18790) | ( c_List_Olinorder__class_Osort__key(_u18791, _u18790, _u18792, hAPP(hAPP(c_List_Olist_OCons(_u18791), _u18793), _u18794)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18791, _u18790, _u18792), _u18793), c_List_Olinorder__class_Osort__key(_u18791, _u18790, _u18792, _u18794))) )).
% 12.21/12.47 cnf(matrix-7601, plain, ( ~class_Orderings_Olinorder(_u18795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18795), hAPP(_u18796, _u18797)), hAPP(_u18796, _u18798))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18799, _u18795, _u18796), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), _u18800)) = hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), _u18800))) )).
% 12.21/12.47 cnf(matrix-7602, plain, ( ~class_Orderings_Olinorder(_u18795) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18795), hAPP(_u18796, _u18797)), hAPP(_u18796, _u18798))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18799, _u18795, _u18796), _u18797), hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), _u18800)) = hAPP(hAPP(c_List_Olist_OCons(_u18799), _u18798), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18799, _u18795, _u18796), _u18797), _u18800))) )).
% 12.21/12.47 cnf(matrix-7603, plain, ( ~class_Orderings_Olinorder(_u18801) | ~hBOOL(hAPP(c_List_Odistinct(_u18802), c_List_Olinorder__class_Osort__key(_u18802, _u18801, _u18803, _u18804))) | hBOOL(hAPP(c_List_Odistinct(_u18802), _u18804)) )).
% 12.21/12.47 cnf(matrix-7604, plain, ( ~class_Orderings_Olinorder(_u18801) | ~hBOOL(hAPP(c_List_Odistinct(_u18802), _u18804)) | hBOOL(hAPP(c_List_Odistinct(_u18802), c_List_Olinorder__class_Osort__key(_u18802, _u18801, _u18803, _u18804))) )).
% 12.21/12.47 cnf(matrix-7605, plain, ( ~class_Orderings_Olinorder(_u18805) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18806, _u18805, _u18807), _u18808), _u18809) != c_List_Olist_ONil(_u18806)) )).
% 12.21/12.47 cnf(matrix-7606, plain, ( ~class_Orderings_Olinorder(_u18810) | ( c_List_Olinorder__class_Osort__key(_u18811, _u18810, _u18812, c_List_Olist_ONil(_u18811)) = c_List_Olist_ONil(_u18811)) )).
% 12.21/12.47 cnf(matrix-7607, plain, ( ~class_Orderings_Olinorder(_u18813) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18814)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18814, _u18813, _u18815), _u18816), _u18817)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18814)), _u18817))) )).
% 12.21/12.47 cnf(matrix-7608, plain, ( ~class_Orderings_Olinorder(_u18818) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18819)), c_List_Olinorder__class_Osort__key(_u18819, _u18818, _u18820, _u18821)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18819)), _u18821)) )).
% 12.21/12.47 cnf(matrix-7609, plain, ( ~class_Orderings_Olinorder(_u18822) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18823), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18824), _u18825)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18824), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18822, _u18822, c_COMBI(_u18822)), _u18823), _u18825))) )).
% 12.21/12.47 cnf(matrix-7610, plain, ( ~class_Orderings_Olinorder(_u18826) | ( hAPP(_u18827, _u18828) = hAPP(_u18827, _u18829)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18829), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18828), _u18831)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18828), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18830, _u18826, _u18827), _u18829), _u18831))) )).
% 12.21/12.47 cnf(matrix-7611, plain, ( ~class_Orderings_Olinorder(_u18832) | c_Finite__Set_Ofun__left__comm(_u18832, tc_List_Olist(_u18832), c_List_Olinorder__class_Oinsort__key(_u18832, _u18832, c_COMBI(_u18832))) )).
% 12.21/12.47 cnf(matrix-7612, plain, ( ~class_Orderings_Olinorder(_u18833) | ( hAPP(c_List_Oset(_u18834), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18834, _u18833, _u18835), _u18836), _u18837)) = hAPP(hAPP(c_Set_Oinsert(_u18834), _u18836), hAPP(c_List_Oset(_u18834), _u18837))) )).
% 12.21/12.47 cnf(matrix-7613, plain, ( ~class_Orderings_Olinorder(_u18838) | ( hAPP(c_List_Oset(_u18839), c_List_Olinorder__class_Osort__key(_u18839, _u18838, _u18840, _u18841)) = hAPP(c_List_Oset(_u18839), _u18841)) )).
% 12.21/12.47 cnf(matrix-7614, plain, ( ~class_Orderings_Olinorder(_u18842) | hBOOL(hAPP(_u18843, _u18844)) | ( hAPP(c_List_Ofilter(_u18845, _u18843), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18845, _u18842, _u18846), _u18844), _u18847)) = hAPP(c_List_Ofilter(_u18845, _u18843), _u18847)) )).
% 12.21/12.47 cnf(matrix-7615, plain, ( ~class_Orderings_Olinorder(_u18848) | ( hAPP(c_List_Ofilter(_u18849, _u18850), c_List_Olinorder__class_Osort__key(_u18849, _u18848, _u18851, _u18852)) = c_List_Olinorder__class_Osort__key(_u18849, _u18848, _u18851, hAPP(c_List_Ofilter(_u18849, _u18850), _u18852))) )).
% 12.21/12.47 cnf(matrix-7616, plain, ( ~class_Orderings_Olinorder(_u18853) | ( c_List_Oremove1(_u18853, _u18854, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18853, _u18853, c_COMBI(_u18853)), _u18854), _u18855)) = _u18855) )).
% 12.21/12.47 cnf(matrix-7617, plain, ( ~class_Orderings_Olinorder(_u18856) | ~hBOOL(hAPP(c_List_Odistinct(_u18857), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18857, _u18856, _u18858), _u18859), _u18860))) | ~hBOOL(hAPP(hAPP(c_member(_u18857), _u18859), hAPP(c_List_Oset(_u18857), _u18860))) )).
% 12.21/12.47 cnf(matrix-7618, plain, ( ~class_Orderings_Olinorder(_u18856) | ~hBOOL(hAPP(c_List_Odistinct(_u18857), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18857, _u18856, _u18858), _u18859), _u18860))) | hBOOL(hAPP(c_List_Odistinct(_u18857), _u18860)) )).
% 12.21/12.47 cnf(matrix-7619, plain, ( ~class_Orderings_Olinorder(_u18856) | hBOOL(hAPP(hAPP(c_member(_u18857), _u18859), hAPP(c_List_Oset(_u18857), _u18860))) | ~hBOOL(hAPP(c_List_Odistinct(_u18857), _u18860)) | hBOOL(hAPP(c_List_Odistinct(_u18857), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18857, _u18856, _u18858), _u18859), _u18860))) )).
% 12.21/12.47 cnf(matrix-7620, plain, ( ~class_Orderings_Olinorder(_u18861) | ~hBOOL(hAPP(hAPP(c_member(_u18862), _u18863), hAPP(c_List_Oset(_u18862), _u18864))) | ~c_List_Olinorder__class_Osorted(_u18861, hAPP(hAPP(c_List_Omap(_u18862, _u18861), _u18865), _u18864)) | ( hAPP(c_List_Ohd(_u18862), hAPP(c_List_Ofilter(_u18862, hAPP(hAPP(c_COMBB(_u18861, tc_HOL_Obool, _u18862), hAPP(c_fequal, hAPP(_u18865, _u18863))), _u18865)), _u18864)) != _u18863) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18862, _u18861, _u18865), _u18863), c_List_Oremove1(_u18862, _u18863, _u18864)) = _u18864) )).
% 12.21/12.47 cnf(matrix-7621, plain, ( ~class_Orderings_Olinorder(_u18866) | hBOOL(hAPP(hAPP(c_member(_u18866), hAPP(_u18867, _u18868)), hAPP(c_Set_Oimage(_u18869, _u18866, _u18867), hAPP(c_List_Oset(_u18869), _u18870)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18869, _u18866, _u18867, _u18868, _u18870) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18869, _u18866, _u18867), _u18868), _u18870)) )).
% 12.21/12.47 cnf(matrix-7622, plain, ( ~class_Orderings_Olinorder(_u18871) | c_List_Olinorder__class_Osorted(_u18871, c_List_Olist_ONil(_u18871)) )).
% 12.21/12.47 cnf(matrix-7623, plain, ( ~class_Orderings_Olinorder(_u18872) | c_List_Olinorder__class_Osorted(_u18872, hAPP(hAPP(c_List_Olist_OCons(_u18872), _u18873), c_List_Olist_ONil(_u18872))) )).
% 12.21/12.47 cnf(matrix-7624, plain, ( ~class_Orderings_Olinorder(_u18874) | ~c_List_Olinorder__class_Osorted(_u18874, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18874, _u18874, c_COMBI(_u18874)), _u18875), _u18876)) | c_List_Olinorder__class_Osorted(_u18874, _u18876) )).
% 12.21/12.47 cnf(matrix-7625, plain, ( ~class_Orderings_Olinorder(_u18874) | ~c_List_Olinorder__class_Osorted(_u18874, _u18876) | c_List_Olinorder__class_Osorted(_u18874, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18874, _u18874, c_COMBI(_u18874)), _u18875), _u18876)) )).
% 12.21/12.47 cnf(matrix-7626, plain, ( ~class_Orderings_Olinorder(_u18877) | c_List_Olinorder__class_Osorted(_u18877, c_List_Olinorder__class_Osort__key(_u18877, _u18877, c_COMBI(_u18877), _u18878)) )).
% 12.21/12.47 cnf(matrix-7627, plain, ( ~class_Orderings_Olinorder(_u18879) | c_List_Olinorder__class_Osorted(_u18879, hAPP(hAPP(c_List_Omap(_u18880, _u18879), _u18881), c_List_Olinorder__class_Osort__key(_u18880, _u18879, _u18881, _u18882))) )).
% 12.21/12.47 cnf(matrix-7628, plain, ( ~class_Orderings_Olinorder(_u18883) | ~c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18884, _u18883, _u18885), _u18886), _u18887))) | c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), _u18887)) )).
% 12.21/12.47 cnf(matrix-7629, plain, ( ~class_Orderings_Olinorder(_u18883) | ~c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), _u18887)) | c_List_Olinorder__class_Osorted(_u18883, hAPP(hAPP(c_List_Omap(_u18884, _u18883), _u18885), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18884, _u18883, _u18885), _u18886), _u18887))) )).
% 12.21/12.47 cnf(matrix-7630, plain, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, hAPP(hAPP(c_List_Omap(_u18889, _u18888), _u18890), _u18891)) | c_List_Olinorder__class_Osorted(_u18888, hAPP(hAPP(c_List_Omap(_u18889, _u18888), _u18890), c_List_Olinorder__class_Oinsort__insert__key(_u18889, _u18888, _u18890, _u18892, _u18891))) )).
% 12.21/12.47 cnf(matrix-7631, plain, ( ~class_Orderings_Olinorder(_u18893) | ~c_List_Olinorder__class_Osorted(_u18893, hAPP(hAPP(c_List_Omap(_u18894, _u18893), _u18895), _u18896)) | c_List_Olinorder__class_Osorted(_u18893, hAPP(hAPP(c_List_Omap(_u18894, _u18893), _u18895), c_List_Oremove1(_u18894, _u18897, _u18896))) )).
% 12.21/12.47 cnf(matrix-7632, plain, ( ~class_Orderings_Olinorder(_u18898) | c_List_Olinorder__class_Osorted(_u18898, hAPP(hAPP(c_List_Omap(_u18899, _u18898), _u18900), hAPP(c_List_Ofilter(_u18899, hAPP(hAPP(c_COMBC(_u18899, _u18898, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18898, tc_fun(_u18898, tc_HOL_Obool), _u18899), c_fequal), _u18900)), hAPP(_u18901, _u18902))), _u18902))) )).
% 12.21/12.47 cnf(matrix-7633, plain, ( ~class_Orderings_Olinorder(_u18903) | ~c_List_Olinorder__class_Osorted(_u18903, hAPP(hAPP(c_List_Omap(_u18904, _u18903), _u18905), _u18906)) | c_List_Olinorder__class_Osorted(_u18903, hAPP(hAPP(c_List_Omap(_u18904, _u18903), _u18905), hAPP(c_List_Ofilter(_u18904, _u18907), _u18906))) )).
% 12.21/12.47 cnf(matrix-7634, plain, ( ~class_Orderings_Olinorder(_u18908) | ~c_List_Olinorder__class_Osorted(_u18908, _u18909) | c_List_Olinorder__class_Osorted(_u18908, c_List_Oremove1(_u18908, _u18910, _u18909)) )).
% 12.21/12.47 cnf(matrix-7635, plain, ( ~class_Orderings_Olinorder(_u18911) | c_List_Olinorder__class_Osorted(_u18911, hAPP(c_List_Ofilter(_u18911, hAPP(hAPP(c_COMBC(_u18911, _u18911, tc_HOL_Obool), c_fequal), hAPP(_u18912, _u18913))), _u18913)) )).
% 12.21/12.47 cnf(matrix-7636, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18914, _u18915)) )).
% 12.21/12.47 cnf(matrix-7637, plain, ( ~class_Orderings_Olinorder(_u18916) | ~c_List_Olinorder__class_Osorted(_u18916, _u18917) | c_List_Olinorder__class_Osorted(_u18916, hAPP(c_List_Otl(_u18916), _u18917)) )).
% 12.21/12.47 cnf(matrix-7638, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18918, _u18919)) )).
% 12.21/12.47 cnf(matrix-7639, plain, ( ~class_Orderings_Olinorder(_u18920) | ~c_List_Olinorder__class_Osorted(_u18920, _u18921) | c_List_Olinorder__class_Osorted(_u18920, c_List_Olinorder__class_Oinsort__insert__key(_u18920, _u18920, c_COMBI(_u18920), _u18922, _u18921)) )).
% 12.21/12.47 cnf(matrix-7640, plain, ( ~class_Orderings_Olinorder(_u18923) | ~c_List_Olinorder__class_Osorted(_u18923, _u18924) | c_List_Olinorder__class_Osorted(_u18923, hAPP(hAPP(c_List_Odrop(_u18923), _u18925), _u18924)) )).
% 12.21/12.47 cnf(matrix-7641, plain, ( ~class_Orderings_Olinorder(_u18926) | c_List_Olinorder__class_Osorted(_u18926, c_List_Olist_ONil(_u18926)) )).
% 12.21/12.47 cnf(matrix-7642, plain, ( ~class_Orderings_Olinorder(_u18927) | ~hBOOL(hAPP(c_List_Odistinct(_u18928), _u18929)) | hBOOL(hAPP(c_List_Odistinct(_u18928), c_List_Olinorder__class_Oinsort__insert__key(_u18928, _u18927, _u18930, _u18931, _u18929))) )).
% 12.21/12.47 cnf(matrix-7643, plain, ( ~class_Orderings_Olinorder(_u18932) | ~c_List_Olinorder__class_Osorted(_u18932, _u18933) | c_List_Olinorder__class_Osorted(_u18932, c_List_Oremdups(_u18932, _u18933)) )).
% 12.21/12.47 cnf(matrix-7644, plain, ( ~class_Orderings_Olinorder(_u18934) | ~c_List_Olinorder__class_Osorted(_u18934, _u18935) | c_List_Olinorder__class_Osorted(_u18934, hAPP(hAPP(c_List_Otake(_u18934), _u18936), _u18935)) )).
% 12.21/12.47 cnf(matrix-7645, plain, ( ~class_Orderings_Olinorder(_u18937) | ~c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18938), hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18937), _u18938), _u18939)) )).
% 12.21/12.47 cnf(matrix-7646, plain, ( ~class_Orderings_Olinorder(_u18937) | ~c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18938), hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940))) | c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940)) )).
% 12.21/12.47 cnf(matrix-7647, plain, ( ~class_Orderings_Olinorder(_u18937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18937), _u18938), _u18939)) | ~c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940)) | c_List_Olinorder__class_Osorted(_u18937, hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18938), hAPP(hAPP(c_List_Olist_OCons(_u18937), _u18939), _u18940))) )).
% 12.21/12.47 cnf(matrix-7648, plain, ( ~class_Orderings_Olinorder(_u18941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18941), _u18942), _u18943)) | ~c_List_Olinorder__class_Osorted(_u18941, hAPP(hAPP(c_List_Olist_OCons(_u18941), _u18943), _u18944)) | c_List_Olinorder__class_Osorted(_u18941, hAPP(hAPP(c_List_Olist_OCons(_u18941), _u18942), hAPP(hAPP(c_List_Olist_OCons(_u18941), _u18943), _u18944))) )).
% 12.21/12.47 cnf(matrix-7649, plain, ( ~class_Orderings_Olinorder(_u18945) | ( _u18946 = c_List_Olist_ONil(_u18945)) | ~c_List_Olinorder__class_Osorted(_u18945, _u18946) | c_List_Olinorder__class_Osorted(_u18945, c_List_Obutlast(_u18945, _u18946)) )).
% 12.21/12.47 cnf(matrix-7650, plain, ( ~class_Orderings_Olinorder(_u18947) | ~c_List_Olinorder__class_Osorted(_u18947, _u18948) | ~hBOOL(hAPP(c_List_Odistinct(_u18947), _u18948)) | ~c_List_Olinorder__class_Osorted(_u18947, _u18949) | ~hBOOL(hAPP(c_List_Odistinct(_u18947), _u18949)) | ( hAPP(c_List_Oset(_u18947), _u18948) != hAPP(c_List_Oset(_u18947), _u18949)) | ( _u18948 = _u18949) )).
% 12.21/12.47 cnf(matrix-7651, plain, ( ~class_Orderings_Olinorder(_u18952) | ~c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | c_List_Olinorder__class_Osorted(_u18952, _u18954) )).
% 12.21/12.47 cnf(matrix-7652, plain, ( ~class_Orderings_Olinorder(_u18952) | ~c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | ~hBOOL(hAPP(hAPP(c_member(_u18952), _u18950), hAPP(c_List_Oset(_u18952), _u18954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18952), _u18953), _u18950)) )).
% 12.21/12.47 cnf(matrix-7653, plain, ( ~class_Orderings_Olinorder(_u18952) | c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | ~c_List_Olinorder__class_Osorted(_u18952, _u18954) | hBOOL(hAPP(hAPP(c_member(_u18952), skolem466(_u18954, _u18953, _u18952)), hAPP(c_List_Oset(_u18952), _u18954))) )).
% 12.21/12.47 cnf(matrix-7654, plain, ( ~class_Orderings_Olinorder(_u18952) | c_List_Olinorder__class_Osorted(_u18952, hAPP(hAPP(c_List_Olist_OCons(_u18952), _u18953), _u18954)) | ~c_List_Olinorder__class_Osorted(_u18952, _u18954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18952), _u18953), skolem466(_u18954, _u18953, _u18952))) )).
% 12.21/12.47 cnf(matrix-7655, plain, ( ~class_Orderings_Olinorder(_u18959) | ~c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | c_List_Olinorder__class_Osorted(_u18959, _u18960) )).
% 12.21/12.47 cnf(matrix-7656, plain, ( ~class_Orderings_Olinorder(_u18959) | ~c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | c_List_Olinorder__class_Osorted(_u18959, _u18961) )).
% 12.21/12.47 cnf(matrix-7657, plain, ( ~class_Orderings_Olinorder(_u18959) | ~c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~hBOOL(hAPP(hAPP(c_member(_u18959), _u18956), hAPP(c_List_Oset(_u18959), _u18960))) | ~hBOOL(hAPP(hAPP(c_member(_u18959), _u18955), hAPP(c_List_Oset(_u18959), _u18961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18959), _u18956), _u18955)) )).
% 12.21/12.47 cnf(matrix-7658, plain, ( ~class_Orderings_Olinorder(_u18959) | c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~c_List_Olinorder__class_Osorted(_u18959, _u18960) | ~c_List_Olinorder__class_Osorted(_u18959, _u18961) | hBOOL(hAPP(hAPP(c_member(_u18959), skolem467(_u18961, _u18960, _u18959)), hAPP(c_List_Oset(_u18959), _u18960))) )).
% 12.21/12.47 cnf(matrix-7659, plain, ( ~class_Orderings_Olinorder(_u18959) | c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~c_List_Olinorder__class_Osorted(_u18959, _u18960) | ~c_List_Olinorder__class_Osorted(_u18959, _u18961) | hBOOL(hAPP(hAPP(c_member(_u18959), skolem468(_u18961, _u18960, _u18959)), hAPP(c_List_Oset(_u18959), _u18961))) )).
% 12.21/12.47 cnf(matrix-7660, plain, ( ~class_Orderings_Olinorder(_u18959) | c_List_Olinorder__class_Osorted(_u18959, hAPP(hAPP(c_List_Oappend(_u18959), _u18960), _u18961)) | ~c_List_Olinorder__class_Osorted(_u18959, _u18960) | ~c_List_Olinorder__class_Osorted(_u18959, _u18961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18959), skolem467(_u18961, _u18960, _u18959)), skolem468(_u18961, _u18960, _u18959))) )).
% 12.21/12.47 cnf(matrix-7661, plain, ( ~class_Orderings_Olinorder(_u18962) | ~c_List_Olinorder__class_Osorted(_u18962, hAPP(hAPP(c_List_Omap(_u18963, _u18962), _u18964), _u18965)) | ~hBOOL(hAPP(_u18966, _u18967)) | ( hAPP(c_List_Ofilter(_u18963, _u18966), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18963, _u18962, _u18964), _u18967), _u18965)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18963, _u18962, _u18964), _u18967), hAPP(c_List_Ofilter(_u18963, _u18966), _u18965))) )).
% 12.21/12.47 cnf(matrix-7662, plain, ( ~class_Orderings_Olinorder(_u18970) | ~c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | ~hBOOL(hAPP(hAPP(c_member(_u18970), _u18968), hAPP(c_List_Oset(_u18970), _u18972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18970), _u18971), _u18968)) )).
% 12.21/12.47 cnf(matrix-7663, plain, ( ~class_Orderings_Olinorder(_u18970) | ~c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | c_List_Olinorder__class_Osorted(_u18970, _u18972) )).
% 12.21/12.47 cnf(matrix-7664, plain, ( ~class_Orderings_Olinorder(_u18970) | c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | ~c_List_Olinorder__class_Osorted(_u18970, _u18972) | hBOOL(hAPP(hAPP(c_member(_u18970), skolem469(_u18972, _u18971, _u18970)), hAPP(c_List_Oset(_u18970), _u18972))) )).
% 12.21/12.47 cnf(matrix-7665, plain, ( ~class_Orderings_Olinorder(_u18970) | c_List_Olinorder__class_Osorted(_u18970, hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18971), _u18972)) | ~c_List_Olinorder__class_Osorted(_u18970, _u18972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18970), _u18971), skolem469(_u18972, _u18971, _u18970))) )).
% 12.21/12.47 cnf(matrix-7666, plain, ( ~class_Orderings_Olinorder(_u18973) | ~hBOOL(hAPP(hAPP(c_member(_u18973), _u18974), hAPP(c_List_Oset(_u18973), _u18975))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18973, _u18973, c_COMBI(_u18973), _u18974, _u18975) = _u18975) )).
% 12.21/12.47 cnf(matrix-7667, plain, ( ~class_Orderings_Olinorder(_u18976) | ( hAPP(c_List_Oset(_u18976), c_List_Olinorder__class_Oinsort__insert__key(_u18976, _u18976, c_COMBI(_u18976), _u18977, _u18978)) = hAPP(hAPP(c_Set_Oinsert(_u18976), _u18977), hAPP(c_List_Oset(_u18976), _u18978))) )).
% 12.21/12.47 cnf(matrix-7668, plain, ( ~class_Orderings_Olinorder(_u18979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18979), _u18980)) | ( hAPP(c_List_Oset(_u18979), c_List_Olinorder__class_Osorted__list__of__set(_u18979, _u18980)) = _u18980) )).
% 12.21/12.47 cnf(matrix-7669, plain, ( ~class_Orderings_Olinorder(_u18979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18979), _u18980)) | c_List_Olinorder__class_Osorted(_u18979, c_List_Olinorder__class_Osorted__list__of__set(_u18979, _u18980)) )).
% 12.21/12.47 cnf(matrix-7670, plain, ( ~class_Orderings_Olinorder(_u18979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18979), _u18980)) | hBOOL(hAPP(c_List_Odistinct(_u18979), c_List_Olinorder__class_Osorted__list__of__set(_u18979, _u18980))) )).
% 12.21/12.47 cnf(matrix-7671, plain, ( ~class_Orderings_Olinorder(_u18981) | ~hBOOL(hAPP(hAPP(c_member(_u18981), _u18982), hAPP(c_List_Oset(_u18981), _u18983))) | ~c_List_Olinorder__class_Osorted(_u18981, _u18983) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18981, _u18981, c_COMBI(_u18981)), _u18982), c_List_Oremove1(_u18981, _u18982, _u18983)) = _u18983) )).
% 12.21/12.47 cnf(matrix-7672, plain, ( ~class_Orderings_Olinorder(_u18988) | ~c_List_Olinorder__class_Osorted(_u18988, _u18989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18985), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18988)), _u18989))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18984), _u18985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18988), hAPP(hAPP(c_List_Onth(_u18988), _u18989), _u18984)), hAPP(hAPP(c_List_Onth(_u18988), _u18989), _u18985))) )).
% 12.21/12.47 cnf(matrix-7673, plain, ( ~class_Orderings_Olinorder(_u18988) | c_List_Olinorder__class_Osorted(_u18988, _u18989) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem470(_u18989, _u18988)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18988)), _u18989))) )).
% 12.21/12.47 cnf(matrix-7674, plain, ( ~class_Orderings_Olinorder(_u18988) | c_List_Olinorder__class_Osorted(_u18988, _u18989) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem471(_u18989, _u18988)), skolem470(_u18989, _u18988))) )).
% 12.21/12.47 cnf(matrix-7675, plain, ( ~class_Orderings_Olinorder(_u18988) | c_List_Olinorder__class_Osorted(_u18988, _u18989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18988), hAPP(hAPP(c_List_Onth(_u18988), _u18989), skolem471(_u18989, _u18988))), hAPP(hAPP(c_List_Onth(_u18988), _u18989), skolem470(_u18989, _u18988)))) )).
% 12.21/12.47 cnf(matrix-7676, plain, ( ~class_Orderings_Olinorder(_u18990) | ~c_List_Olinorder__class_Osorted(_u18990, _u18991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18992), _u18993)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18993), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18990)), _u18991))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18990), hAPP(hAPP(c_List_Onth(_u18990), _u18991), _u18992)), hAPP(hAPP(c_List_Onth(_u18990), _u18991), _u18993))) )).
% 12.21/12.47 cnf(matrix-7677, plain, ( ~class_Orderings_Olinorder(_u18994) | ~c_Fun_Oinj__on(_u18995, _u18994, _u18996, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18995, tc_HOL_Obool)), hAPP(c_List_Oset(_u18995), _u18997)), hAPP(c_List_Oset(_u18995), _u18998))) | ~c_List_Olinorder__class_Osorted(_u18994, hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18997)) | ~hBOOL(hAPP(c_List_Odistinct(_u18994), hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18997))) | ~c_List_Olinorder__class_Osorted(_u18994, hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18998)) | ~hBOOL(hAPP(c_List_Odistinct(_u18994), hAPP(hAPP(c_List_Omap(_u18995, _u18994), _u18996), _u18998))) | ( hAPP(c_List_Oset(_u18995), _u18997) != hAPP(c_List_Oset(_u18995), _u18998)) | ( _u18997 = _u18998) )).
% 12.21/12.47 cnf(matrix-7678, plain, ( ~class_Orderings_Olinorder(_u18999) | ~hBOOL(hAPP(hAPP(c_member(_u18999), hAPP(_u19000, _u19001)), hAPP(c_Set_Oimage(_u19002, _u18999, _u19000), hAPP(c_List_Oset(_u19002), _u19003)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u19002, _u18999, _u19000, _u19001, _u19003) = _u19003) )).
% 12.21/12.47 cnf(matrix-7679, plain, ( ~class_Orderings_Olinorder(_u19004) | hBOOL(hAPP(hAPP(c_member(_u19004), _u19005), hAPP(c_List_Oset(_u19004), _u19006))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u19004, _u19004, c_COMBI(_u19004), _u19005, _u19006) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19004, _u19004, c_COMBI(_u19004)), _u19005), _u19006)) )).
% 12.21/12.47 cnf(matrix-7680, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19007), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19007))), _u19008))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19009), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19007))), _u19008))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19007), _u19007), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19007), tc_Nat_Onat, _u19007), c_List_Onth(_u19007)), _u19009)), hAPP(c_List_Ofilter(tc_List_Olist(_u19007), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u19007)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19009)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19007)))), c_List_Otranspose(_u19007, _u19008))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19007)), _u19008), _u19009)) )).
% 12.21/12.47 cnf(matrix-7681, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19010), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19010))), _u19011))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19012), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19010))), c_List_Otranspose(_u19010, _u19011)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19013), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19010))), hAPP(c_List_Ofilter(tc_List_Olist(_u19010), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u19010)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19012)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19010)))), _u19011)))) | ( hAPP(hAPP(c_List_Onth(_u19010), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19010)), c_List_Otranspose(_u19010, _u19011)), _u19012)), _u19013) = hAPP(hAPP(c_List_Onth(_u19010), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19010)), _u19011), _u19013)), _u19012)) )).
% 12.21/12.47 cnf(matrix-7682, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u19014), tc_List_Olist(_u19014), c_List_Orev(_u19014), _u19015) )).
% 12.21/12.47 cnf(matrix-7683, plain, ( ( c_List_Ofoldr(_u19016, _u19017, _u19018, _u19019, _u19020) = hAPP(c_List_Ofoldl(_u19017, _u19016, hAPP(c_COMBC(_u19016, _u19017, _u19017), _u19018), _u19020), hAPP(c_List_Orev(_u19016), _u19019))) )).
% 12.21/12.47 cnf(matrix-7684, plain, ( ( hAPP(c_List_Ofoldl(_u19021, _u19022, _u19023, _u19024), _u19025) = c_List_Ofoldr(_u19022, _u19021, hAPP(c_COMBC(_u19021, _u19022, _u19021), _u19023), hAPP(c_List_Orev(_u19022), _u19025), _u19024)) )).
% 12.21/12.47 cnf(matrix-7685, plain, ( ( hAPP(c_List_Orev(_u19026), hAPP(hAPP(c_List_Oappend(_u19026), _u19027), _u19028)) = hAPP(hAPP(c_List_Oappend(_u19026), hAPP(c_List_Orev(_u19026), _u19028)), hAPP(c_List_Orev(_u19026), _u19027))) )).
% 12.21/12.47 cnf(matrix-7686, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19032), _u19034), c_List_Olist_ONil(_u19032)) != hAPP(c_List_Orev(_u19032), _u19036)) | ( _u19036 = hAPP(hAPP(c_List_Olist_OCons(_u19032), _u19034), c_List_Olist_ONil(_u19032))) )).
% 12.21/12.47 cnf(matrix-7687, plain, ( ( _u19037 != hAPP(hAPP(c_List_Olist_OCons(_u19033), _u19035), c_List_Olist_ONil(_u19033))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19033), _u19035), c_List_Olist_ONil(_u19033)) = hAPP(c_List_Orev(_u19033), _u19037)) )).
% 12.21/12.47 cnf(matrix-7688, plain, ( ( hAPP(c_List_Orev(_u19041), _u19043) != hAPP(hAPP(c_List_Olist_OCons(_u19041), _u19045), c_List_Olist_ONil(_u19041))) | ( _u19043 = hAPP(hAPP(c_List_Olist_OCons(_u19041), _u19045), c_List_Olist_ONil(_u19041))) )).
% 12.21/12.47 cnf(matrix-7689, plain, ( ( _u19044 != hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), c_List_Olist_ONil(_u19042))) | ( hAPP(c_List_Orev(_u19042), _u19044) = hAPP(hAPP(c_List_Olist_OCons(_u19042), _u19046), c_List_Olist_ONil(_u19042))) )).
% 12.21/12.47 cnf(matrix-7690, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19049), hAPP(c_List_Orev(_u19049), _u19051))) | hBOOL(hAPP(c_List_Odistinct(_u19049), _u19051)) )).
% 12.21/12.47 cnf(matrix-7691, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19050), _u19052)) | hBOOL(hAPP(c_List_Odistinct(_u19050), hAPP(c_List_Orev(_u19050), _u19052))) )).
% 12.21/12.47 cnf(matrix-7692, plain, ( ( hAPP(c_List_Orev(_u19053), c_List_Olist_ONil(_u19053)) = c_List_Olist_ONil(_u19053)) )).
% 12.21/12.47 cnf(matrix-7693, plain, ( ( c_List_Olist_ONil(_u19056) != hAPP(c_List_Orev(_u19056), _u19058)) | ( _u19058 = c_List_Olist_ONil(_u19056)) )).
% 12.21/12.47 cnf(matrix-7694, plain, ( ( _u19059 != c_List_Olist_ONil(_u19057)) | ( c_List_Olist_ONil(_u19057) = hAPP(c_List_Orev(_u19057), _u19059)) )).
% 12.21/12.47 cnf(matrix-7695, plain, ( ( hAPP(c_List_Orev(_u19062), _u19064) != c_List_Olist_ONil(_u19062)) | ( _u19064 = c_List_Olist_ONil(_u19062)) )).
% 12.21/12.47 cnf(matrix-7696, plain, ( ( _u19065 != c_List_Olist_ONil(_u19063)) | ( hAPP(c_List_Orev(_u19063), _u19065) = c_List_Olist_ONil(_u19063)) )).
% 12.21/12.47 cnf(matrix-7697, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19066)), hAPP(c_List_Orev(_u19066), _u19067)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19066)), _u19067)) )).
% 12.21/12.47 cnf(matrix-7698, plain, ( ( hAPP(c_List_Orev(_u19068), hAPP(c_List_Orev(_u19068), _u19069)) = _u19069) )).
% 12.21/12.47 cnf(matrix-7699, plain, ( ( hAPP(c_List_Orev(_u19073), _u19075) != _u19077) | ( _u19075 = hAPP(c_List_Orev(_u19073), _u19077)) )).
% 12.21/12.47 cnf(matrix-7700, plain, ( ( _u19076 != hAPP(c_List_Orev(_u19074), _u19078)) | ( hAPP(c_List_Orev(_u19074), _u19076) = _u19078) )).
% 12.21/12.47 cnf(matrix-7701, plain, ( ( _u19084 = _u19086) | ( hAPP(c_List_Orev(_u19082), _u19084) != hAPP(c_List_Orev(_u19082), _u19086)) )).
% 12.21/12.47 cnf(matrix-7702, plain, ( ( _u19085 != _u19087) | ( hAPP(c_List_Orev(_u19083), _u19085) = hAPP(c_List_Orev(_u19083), _u19087)) )).
% 12.21/12.47 cnf(matrix-7703, plain, ( ~class_Groups_Ocomm__monoid__add(_u19088) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19088), hAPP(c_List_Orev(_u19088), _u19089)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19088), _u19089)) )).
% 12.21/12.47 cnf(matrix-7704, plain, ( ( hAPP(c_List_Oset(_u19090), hAPP(c_List_Orev(_u19090), _u19091)) = hAPP(c_List_Oset(_u19090), _u19091)) )).
% 12.21/12.47 cnf(matrix-7705, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19092)), _u19093) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19094)), _u19095)) | ( hAPP(hAPP(c_List_Ozip(_u19092, _u19094), hAPP(c_List_Orev(_u19092), _u19093)), hAPP(c_List_Orev(_u19094), _u19095)) = hAPP(c_List_Orev(tc_prod(_u19092, _u19094)), hAPP(hAPP(c_List_Ozip(_u19092, _u19094), _u19093), _u19095))) )).
% 12.21/12.47 cnf(matrix-7706, plain, ( ( hAPP(c_List_Orev(_u19096), hAPP(c_List_Ofilter(_u19096, _u19097), _u19098)) = hAPP(c_List_Ofilter(_u19096, _u19097), hAPP(c_List_Orev(_u19096), _u19098))) )).
% 12.21/12.47 cnf(matrix-7707, plain, ( ( hAPP(c_List_Orev(_u19099), c_List_Oconcat(_u19099, _u19100)) = c_List_Oconcat(_u19099, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19099), tc_List_Olist(_u19099)), c_List_Orev(_u19099)), hAPP(c_List_Orev(tc_List_Olist(_u19099)), _u19100)))) )).
% 12.21/12.47 cnf(matrix-7708, plain, ( ( hAPP(c_List_Orev(_u19101), hAPP(hAPP(c_List_Omap(_u19102, _u19101), _u19103), _u19104)) = hAPP(hAPP(c_List_Omap(_u19102, _u19101), _u19103), hAPP(c_List_Orev(_u19102), _u19104))) )).
% 12.21/12.47 cnf(matrix-7709, plain, ( ( hAPP(c_List_Orev(_u19109), _u19111) != hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19113), _u19115)) | ( _u19111 = hAPP(hAPP(c_List_Oappend(_u19109), hAPP(c_List_Orev(_u19109), _u19115)), hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19113), c_List_Olist_ONil(_u19109)))) )).
% 12.21/12.47 cnf(matrix-7710, plain, ( ( _u19112 != hAPP(hAPP(c_List_Oappend(_u19110), hAPP(c_List_Orev(_u19110), _u19116)), hAPP(hAPP(c_List_Olist_OCons(_u19110), _u19114), c_List_Olist_ONil(_u19110)))) | ( hAPP(c_List_Orev(_u19110), _u19112) = hAPP(hAPP(c_List_Olist_OCons(_u19110), _u19114), _u19116)) )).
% 12.21/12.47 cnf(matrix-7711, plain, ( ( hAPP(c_List_Orev(_u19117), hAPP(hAPP(c_List_Olist_OCons(_u19117), _u19118), _u19119)) = hAPP(hAPP(c_List_Oappend(_u19117), hAPP(c_List_Orev(_u19117), _u19119)), hAPP(hAPP(c_List_Olist_OCons(_u19117), _u19118), c_List_Olist_ONil(_u19117)))) )).
% 12.21/12.47 cnf(matrix-7712, plain, ( ( _u19120 = c_List_Olist_ONil(_u19121)) | ( hAPP(c_List_Ohd(_u19121), hAPP(c_List_Orev(_u19121), _u19120)) = c_List_Olast(_u19121, _u19120)) )).
% 12.21/12.47 cnf(matrix-7713, plain, ( ( _u19122 = c_List_Olist_ONil(_u19123)) | ( c_List_Olast(_u19123, hAPP(c_List_Orev(_u19123), _u19122)) = hAPP(c_List_Ohd(_u19123), _u19122)) )).
% 12.21/12.47 cnf(matrix-7714, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19124), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19124))), c_List_Otranspose(_u19124, _u19125)))) )).
% 12.21/12.47 cnf(matrix-7715, plain, ( ( hAPP(c_List_Orev(_u19126), _u19127) = hAPP(c_List_Ofoldl(tc_List_Olist(_u19126), _u19126, hAPP(c_COMBC(_u19126, tc_List_Olist(_u19126), tc_List_Olist(_u19126)), c_List_Olist_OCons(_u19126)), c_List_Olist_ONil(_u19126)), _u19127)) )).
% 12.21/12.47 cnf(matrix-7716, plain, ( ( hAPP(c_List_Orev(_u19128), hAPP(hAPP(c_List_Odrop(_u19128), _u19129), _u19130)) = hAPP(hAPP(c_List_Otake(_u19128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19128)), _u19130)), _u19129)), hAPP(c_List_Orev(_u19128), _u19130))) )).
% 12.21/12.47 cnf(matrix-7717, plain, ( ( hAPP(c_List_Orev(_u19131), hAPP(hAPP(c_List_Otake(_u19131), _u19132), _u19133)) = hAPP(hAPP(c_List_Odrop(_u19131), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19131)), _u19133)), _u19132)), hAPP(c_List_Orev(_u19131), _u19133))) )).
% 12.21/12.47 cnf(matrix-7718, plain, ( ( hAPP(c_List_Orotate(_u19134, _u19135), hAPP(c_List_Orev(_u19134), _u19136)) = hAPP(c_List_Orev(_u19134), hAPP(c_List_Orotate(_u19134, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19136)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19135, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19136)))), _u19136))) )).
% 12.21/12.47 cnf(matrix-7719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19137), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19138)), _u19139))) | ( hAPP(hAPP(c_List_Onth(_u19138), hAPP(c_List_Orev(_u19138), _u19139)), _u19137) = hAPP(hAPP(c_List_Onth(_u19138), _u19139), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19138)), _u19139)), hAPP(c_Nat_OSuc, _u19137)))) )).
% 12.21/12.47 cnf(matrix-7720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19140), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19141)), _u19142))) | ( hAPP(c_List_Orev(_u19141), hAPP(hAPP(c_List_Olist__update(_u19141, _u19142), _u19140), _u19143)) = hAPP(hAPP(c_List_Olist__update(_u19141, hAPP(c_List_Orev(_u19141), _u19142)), 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(_u19141)), _u19142)), _u19140)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19143)) )).
% 12.21/12.47 cnf(matrix-7721, plain, ( ~class_Orderings_Olinorder(_u19144) | ~c_List_Olinorder__class_Osorted(_u19144, hAPP(c_List_Orev(_u19144), _u19145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19146), _u19147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19147), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19144)), _u19145))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19144), hAPP(hAPP(c_List_Onth(_u19144), _u19145), _u19147)), hAPP(hAPP(c_List_Onth(_u19144), _u19145), _u19146))) )).
% 12.21/12.47 cnf(matrix-7722, plain, ( ~class_Orderings_Olinorder(_u19148) | ~c_List_Olinorder__class_Osorted(_u19148, hAPP(c_List_Orev(_u19148), _u19149)) | ( _u19149 != c_List_Olist_ONil(_u19148)) | ( c_List_Ofoldr(_u19148, _u19148, c_Orderings_Oord__class_Omax(_u19148), _u19149, _u19150) = _u19150) )).
% 12.21/12.47 cnf(matrix-7723, plain, ( ~class_Orderings_Olinorder(_u19148) | ~c_List_Olinorder__class_Osorted(_u19148, hAPP(c_List_Orev(_u19148), _u19149)) | ( _u19149 = c_List_Olist_ONil(_u19148)) | ( c_List_Ofoldr(_u19148, _u19148, c_Orderings_Oord__class_Omax(_u19148), _u19149, _u19150) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19148), hAPP(hAPP(c_List_Onth(_u19148), _u19149), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u19150)) )).
% 12.21/12.47 cnf(matrix-7724, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19151), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19151))), _u19152))) | ( _u19152 != c_List_Olist_ONil(tc_List_Olist(_u19151))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19151))), c_List_Otranspose(_u19151, _u19152)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-7725, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19151), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19151))), _u19152))) | ( _u19152 = c_List_Olist_ONil(tc_List_Olist(_u19151))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19151))), c_List_Otranspose(_u19151, _u19152)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19151)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19151)), _u19152), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-7726, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19153), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19153))), _u19154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19155), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19153))), _u19154))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19153))), hAPP(c_List_Ofilter(tc_List_Olist(_u19153), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u19153)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19155)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19153)))), c_List_Otranspose(_u19153, _u19154))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19153)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19153)), _u19154), _u19155))) )).
% 12.21/12.47 cnf(matrix-7727, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19156), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19156))), _u19157))) | ( c_List_Otranspose(_u19156, c_List_Otranspose(_u19156, _u19157)) = c_List_OtakeWhile(tc_List_Olist(_u19156), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u19156)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19156), tc_List_Olist(_u19156), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u19156))), _u19157)) )).
% 12.21/12.47 cnf(matrix-7728, plain, ( ~class_Orderings_Olinorder(_u19160) | c_List_Olinorder__class_Osorted(_u19160, _u19161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem472(_u19161, _u19160)), skolem473(_u19161, _u19160))) )).
% 12.21/12.47 cnf(matrix-7729, plain, ( ~class_Orderings_Olinorder(_u19160) | c_List_Olinorder__class_Osorted(_u19160, _u19161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem473(_u19161, _u19160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19160)), _u19161))) )).
% 12.21/12.47 cnf(matrix-7730, plain, ( ~class_Orderings_Olinorder(_u19160) | c_List_Olinorder__class_Osorted(_u19160, _u19161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19160), hAPP(hAPP(c_List_Onth(_u19160), _u19161), skolem472(_u19161, _u19160))), hAPP(hAPP(c_List_Onth(_u19160), _u19161), skolem473(_u19161, _u19160)))) )).
% 12.21/12.47 cnf(matrix-7731, plain, ( ~class_Orderings_Olinorder(_u19162) | ~c_List_Olinorder__class_Osorted(_u19162, _u19163) | c_List_Olinorder__class_Osorted(_u19162, c_List_OtakeWhile(_u19162, _u19164, _u19163)) )).
% 12.21/12.47 cnf(matrix-7732, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19165, _u19166), _u19167), c_List_OtakeWhile(_u19166, _u19168, _u19169)) = c_List_OtakeWhile(tc_prod(_u19165, _u19166), hAPP(c_Fun_Ocomp(_u19166, tc_HOL_Obool, tc_prod(_u19165, _u19166), _u19168), c_Product__Type_Osnd(_u19165, _u19166)), hAPP(hAPP(c_List_Ozip(_u19165, _u19166), _u19167), _u19169))) )).
% 12.21/12.47 cnf(matrix-7733, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19170, _u19171), c_List_OtakeWhile(_u19170, _u19172, _u19173)), _u19174) = c_List_OtakeWhile(tc_prod(_u19170, _u19171), hAPP(c_Fun_Ocomp(_u19170, tc_HOL_Obool, tc_prod(_u19170, _u19171), _u19172), c_Product__Type_Ofst(_u19170, _u19171)), hAPP(hAPP(c_List_Ozip(_u19170, _u19171), _u19173), _u19174))) )).
% 12.21/12.47 cnf(matrix-7734, plain, ( ( c_List_OtakeWhile(_u19175, _u19176, hAPP(hAPP(c_List_Omap(_u19177, _u19175), _u19178), _u19179)) = hAPP(hAPP(c_List_Omap(_u19177, _u19175), _u19178), c_List_OtakeWhile(_u19177, hAPP(c_Fun_Ocomp(_u19175, tc_HOL_Obool, _u19177, _u19176), _u19178), _u19179))) )).
% 12.21/12.47 cnf(matrix-7735, plain, ( ( c_List_OtakeWhile(_u19185, _u19187, _u19189) != _u19189) | ~hBOOL(hAPP(hAPP(c_member(_u19185), _u19180), hAPP(c_List_Oset(_u19185), _u19189))) | hBOOL(hAPP(_u19187, _u19180)) )).
% 12.21/12.47 cnf(matrix-7736, plain, ( ( c_List_OtakeWhile(_u19186, _u19188, _u19190) = _u19190) | hBOOL(hAPP(hAPP(c_member(_u19186), skolem474(_u19190, _u19188, _u19186)), hAPP(c_List_Oset(_u19186), _u19190))) )).
% 12.21/12.47 cnf(matrix-7737, plain, ( ( c_List_OtakeWhile(_u19186, _u19188, _u19190) = _u19190) | ~hBOOL(hAPP(_u19188, skolem474(_u19190, _u19188, _u19186))) )).
% 12.21/12.47 cnf(matrix-7738, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19191), _u19192), hAPP(c_List_Oset(_u19191), c_List_OtakeWhile(_u19191, _u19193, _u19194)))) | hBOOL(hAPP(hAPP(c_member(_u19191), _u19192), hAPP(c_List_Oset(_u19191), _u19194))) )).
% 12.21/12.47 cnf(matrix-7739, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19191), _u19192), hAPP(c_List_Oset(_u19191), c_List_OtakeWhile(_u19191, _u19193, _u19194)))) | hBOOL(hAPP(_u19193, _u19192)) )).
% 12.21/12.47 cnf(matrix-7740, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19195)), c_List_OtakeWhile(_u19195, _u19196, _u19197))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19195)), _u19197))) )).
% 12.21/12.47 cnf(matrix-7741, plain, ( ( c_List_OtakeWhile(_u19198, _u19199, c_List_Olist_ONil(_u19198)) = c_List_Olist_ONil(_u19198)) )).
% 12.21/12.47 cnf(matrix-7742, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19200), _u19201)) | hBOOL(hAPP(c_List_Odistinct(_u19200), c_List_OtakeWhile(_u19200, _u19202, _u19201))) )).
% 12.21/12.47 cnf(matrix-7743, plain, ( ( c_List_OtakeWhile(_u19203, _u19204, _u19205) = hAPP(hAPP(c_List_Otake(_u19203), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19203)), c_List_OtakeWhile(_u19203, _u19204, _u19205))), _u19205)) )).
% 12.21/12.47 cnf(matrix-7744, plain, ( ~hBOOL(hAPP(_u19210, _u19212)) | ( c_List_OtakeWhile(_u19214, _u19210, hAPP(hAPP(c_List_Olist_OCons(_u19214), _u19212), _u19216)) = hAPP(hAPP(c_List_Olist_OCons(_u19214), _u19212), c_List_OtakeWhile(_u19214, _u19210, _u19216))) )).
% 12.21/12.47 cnf(matrix-7745, plain, ( hBOOL(hAPP(_u19211, _u19213)) | ( c_List_OtakeWhile(_u19215, _u19211, hAPP(hAPP(c_List_Olist_OCons(_u19215), _u19213), _u19217)) = c_List_Olist_ONil(_u19215)) )).
% 12.21/12.47 cnf(matrix-7746, plain, ( hBOOL(hAPP(_u19218, _u19219)) | ( c_List_OtakeWhile(_u19220, _u19218, hAPP(hAPP(c_List_Oappend(_u19220), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19219), _u19222))) = c_List_OtakeWhile(_u19220, _u19218, _u19221)) )).
% 12.21/12.47 cnf(matrix-7747, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19223), _u19224), hAPP(c_List_Oset(_u19223), _u19225))) | hBOOL(hAPP(_u19226, _u19224)) | ( c_List_OtakeWhile(_u19223, _u19226, hAPP(hAPP(c_List_Oappend(_u19223), _u19225), _u19227)) = c_List_OtakeWhile(_u19223, _u19226, _u19225)) )).
% 12.21/12.47 cnf(matrix-7748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19228)), c_List_OtakeWhile(_u19228, _u19229, _u19230))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19228)), _u19230))) | ~hBOOL(hAPP(_u19229, hAPP(hAPP(c_List_Onth(_u19228), _u19230), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19228)), c_List_OtakeWhile(_u19228, _u19229, _u19230))))) )).
% 12.21/12.47 cnf(matrix-7749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19231), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19232)), c_List_OtakeWhile(_u19232, _u19233, _u19234)))) | ( hAPP(hAPP(c_List_Onth(_u19232), c_List_OtakeWhile(_u19232, _u19233, _u19234)), _u19231) = hAPP(hAPP(c_List_Onth(_u19232), _u19234), _u19231)) )).
% 12.21/12.47 cnf(matrix-7750, plain, ( ( c_Map_Omap__upds(_u19235, _u19236, _u19237, _u19238, _u19239) = c_Map_Omap__add(_u19235, _u19236, _u19237, hAPP(c_Map_Omap__of(_u19235, _u19236), hAPP(c_List_Orev(tc_prod(_u19235, _u19236)), hAPP(hAPP(c_List_Ozip(_u19235, _u19236), _u19238), _u19239))))) )).
% 12.21/12.47 cnf(matrix-7751, plain, ( ( _u19240 = c_List_Olist_ONil(_u19241)) | ~hBOOL(hAPP(c_List_Odistinct(_u19241), _u19240)) | ( c_List_OtakeWhile(_u19241, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19241), c_fNot), hAPP(hAPP(c_COMBC(_u19241, _u19241, tc_HOL_Obool), c_fequal), c_List_Olast(_u19241, _u19240))), _u19240) = c_List_Obutlast(_u19241, _u19240)) )).
% 12.21/12.47 cnf(matrix-7752, plain, ( ~class_Orderings_Olinorder(_u19242) | ~c_List_Olinorder__class_Osorted(_u19242, hAPP(c_List_Orev(_u19242), hAPP(hAPP(c_List_Omap(_u19243, _u19242), _u19244), _u19245))) | ( hAPP(c_List_Ofilter(_u19243, hAPP(hAPP(c_COMBB(_u19242, tc_HOL_Obool, _u19243), hAPP(c_Orderings_Oord__class_Oless(_u19242), _u19246)), _u19244)), _u19245) = c_List_OtakeWhile(_u19243, hAPP(hAPP(c_COMBB(_u19242, tc_HOL_Obool, _u19243), hAPP(c_Orderings_Oord__class_Oless(_u19242), _u19246)), _u19244), _u19245)) )).
% 12.21/12.47 cnf(matrix-7753, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19247), _u19248)) | ~hBOOL(hAPP(hAPP(c_member(_u19247), _u19249), hAPP(c_List_Oset(_u19247), _u19248))) | ( c_List_OtakeWhile(_u19247, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19247), c_fNot), hAPP(hAPP(c_COMBC(_u19247, _u19247, tc_HOL_Obool), c_fequal), _u19249)), hAPP(c_List_Orev(_u19247), _u19248)) = hAPP(c_List_Orev(_u19247), hAPP(c_List_Otl(_u19247), c_List_OdropWhile(_u19247, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19247), c_fNot), hAPP(hAPP(c_COMBC(_u19247, _u19247, tc_HOL_Obool), c_fequal), _u19249)), _u19248)))) )).
% 12.21/12.47 cnf(matrix-7754, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19250), _u19251)) | ~hBOOL(hAPP(hAPP(c_member(_u19250), _u19252), hAPP(c_List_Oset(_u19250), _u19251))) | ( c_List_OdropWhile(_u19250, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19250), c_fNot), hAPP(hAPP(c_COMBC(_u19250, _u19250, tc_HOL_Obool), c_fequal), _u19252)), hAPP(c_List_Orev(_u19250), _u19251)) = hAPP(hAPP(c_List_Olist_OCons(_u19250), _u19252), hAPP(c_List_Orev(_u19250), c_List_OtakeWhile(_u19250, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19250), c_fNot), hAPP(hAPP(c_COMBC(_u19250, _u19250, tc_HOL_Obool), c_fequal), _u19252)), _u19251)))) )).
% 12.21/12.47 cnf(matrix-7755, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19253), c_List_OtakeWhile(_u19253, _u19254, _u19255)), c_List_OdropWhile(_u19253, _u19254, _u19255)) = _u19255) )).
% 12.21/12.47 cnf(matrix-7756, plain, ( ( c_List_OdropWhile(_u19261, _u19263, _u19265) != c_List_Olist_ONil(_u19261)) | ~hBOOL(hAPP(hAPP(c_member(_u19261), _u19256), hAPP(c_List_Oset(_u19261), _u19265))) | hBOOL(hAPP(_u19263, _u19256)) )).
% 12.21/12.47 cnf(matrix-7757, plain, ( ( c_List_OdropWhile(_u19262, _u19264, _u19266) = c_List_Olist_ONil(_u19262)) | hBOOL(hAPP(hAPP(c_member(_u19262), skolem475(_u19266, _u19264, _u19262)), hAPP(c_List_Oset(_u19262), _u19266))) )).
% 12.21/12.47 cnf(matrix-7758, plain, ( ( c_List_OdropWhile(_u19262, _u19264, _u19266) = c_List_Olist_ONil(_u19262)) | ~hBOOL(hAPP(_u19264, skolem475(_u19266, _u19264, _u19262))) )).
% 12.21/12.47 cnf(matrix-7759, plain, ( ~hBOOL(hAPP(_u19271, _u19273)) | ( c_List_OdropWhile(_u19275, _u19271, hAPP(hAPP(c_List_Olist_OCons(_u19275), _u19273), _u19277)) = c_List_OdropWhile(_u19275, _u19271, _u19277)) )).
% 12.21/12.47 cnf(matrix-7760, plain, ( hBOOL(hAPP(_u19272, _u19274)) | ( c_List_OdropWhile(_u19276, _u19272, hAPP(hAPP(c_List_Olist_OCons(_u19276), _u19274), _u19278)) = hAPP(hAPP(c_List_Olist_OCons(_u19276), _u19274), _u19278)) )).
% 12.21/12.47 cnf(matrix-7761, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19279), _u19280)) | hBOOL(hAPP(c_List_Odistinct(_u19279), c_List_OdropWhile(_u19279, _u19281, _u19280))) )).
% 12.21/12.47 cnf(matrix-7762, plain, ( ( c_List_OdropWhile(_u19282, _u19283, c_List_Olist_ONil(_u19282)) = c_List_Olist_ONil(_u19282)) )).
% 12.21/12.47 cnf(matrix-7763, plain, ( ( c_List_OdropWhile(_u19284, _u19285, _u19286) = c_List_Olist_ONil(_u19284)) | ~hBOOL(hAPP(_u19285, hAPP(c_List_Ohd(_u19284), c_List_OdropWhile(_u19284, _u19285, _u19286)))) )).
% 12.21/12.47 cnf(matrix-7764, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19287)), c_List_OdropWhile(_u19287, _u19288, _u19289))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19287)), _u19289))) )).
% 12.21/12.47 cnf(matrix-7765, plain, ( ~class_Orderings_Olinorder(_u19290) | ~c_List_Olinorder__class_Osorted(_u19290, _u19291) | c_List_Olinorder__class_Osorted(_u19290, c_List_OdropWhile(_u19290, _u19292, _u19291)) )).
% 12.21/12.47 cnf(matrix-7766, plain, ( ( c_List_OdropWhile(_u19293, _u19294, hAPP(hAPP(c_List_Omap(_u19295, _u19293), _u19296), _u19297)) = hAPP(hAPP(c_List_Omap(_u19295, _u19293), _u19296), c_List_OdropWhile(_u19295, hAPP(c_Fun_Ocomp(_u19293, tc_HOL_Obool, _u19295, _u19294), _u19296), _u19297))) )).
% 12.21/12.47 cnf(matrix-7767, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19298), _u19299), hAPP(c_List_Oset(_u19298), _u19300))) | hBOOL(hAPP(_u19301, _u19299)) | ( c_List_OdropWhile(_u19298, _u19301, hAPP(hAPP(c_List_Oappend(_u19298), _u19300), _u19302)) = hAPP(hAPP(c_List_Oappend(_u19298), c_List_OdropWhile(_u19298, _u19301, _u19300)), _u19302)) )).
% 12.21/12.47 cnf(matrix-7768, plain, ( ( c_List_OdropWhile(_u19308, _u19310, _u19312) != hAPP(hAPP(c_List_Olist_OCons(_u19308), _u19314), _u19316)) | ( _u19312 = hAPP(hAPP(c_List_Oappend(_u19308), c_List_OtakeWhile(_u19308, _u19310, _u19312)), hAPP(hAPP(c_List_Olist_OCons(_u19308), _u19314), _u19316))) )).
% 12.21/12.47 cnf(matrix-7769, plain, ( ( c_List_OdropWhile(_u19308, _u19310, _u19312) != hAPP(hAPP(c_List_Olist_OCons(_u19308), _u19314), _u19316)) | ~hBOOL(hAPP(_u19310, _u19314)) )).
% 12.21/12.47 cnf(matrix-7770, plain, ( ( _u19313 != hAPP(hAPP(c_List_Oappend(_u19309), c_List_OtakeWhile(_u19309, _u19311, _u19313)), hAPP(hAPP(c_List_Olist_OCons(_u19309), _u19315), _u19317))) | hBOOL(hAPP(_u19311, _u19315)) | ( c_List_OdropWhile(_u19309, _u19311, _u19313) = hAPP(hAPP(c_List_Olist_OCons(_u19309), _u19315), _u19317)) )).
% 12.21/12.47 cnf(matrix-7771, plain, ( ( c_List_OdropWhile(_u19318, _u19319, _u19320) = hAPP(hAPP(c_List_Odrop(_u19318), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19318)), c_List_OtakeWhile(_u19318, _u19319, _u19320))), _u19320)) )).
% 12.21/12.47 cnf(matrix-7772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19321), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19322)), c_List_OdropWhile(_u19322, _u19323, _u19324)))) | ( hAPP(hAPP(c_List_Onth(_u19322), c_List_OdropWhile(_u19322, _u19323, _u19324)), _u19321) = hAPP(hAPP(c_List_Onth(_u19322), _u19324), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19321), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19322)), c_List_OtakeWhile(_u19322, _u19323, _u19324))))) )).
% 12.21/12.47 cnf(matrix-7773, plain, ( ( c_List_OtakeWhile(_u19326, _u19327, _u19328) = hAPP(c_List_Ofilter(_u19326, _u19327), _u19328)) | hBOOL(hAPP(hAPP(c_member(_u19326), skolem476(_u19328, _u19327, _u19326)), hAPP(c_List_Oset(_u19326), c_List_OdropWhile(_u19326, _u19327, _u19328)))) )).
% 12.21/12.47 cnf(matrix-7774, plain, ( ( c_List_OtakeWhile(_u19326, _u19327, _u19328) = hAPP(c_List_Ofilter(_u19326, _u19327), _u19328)) | hBOOL(hAPP(_u19327, skolem476(_u19328, _u19327, _u19326))) )).
% 12.21/12.47 cnf(matrix-7775, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), _u19330)) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) )).
% 12.21/12.47 cnf(matrix-7776, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), _u19330)) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), _u19330))) )).
% 12.21/12.47 cnf(matrix-7777, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) )).
% 12.21/12.47 cnf(matrix-7778, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19333, _u19332, _u19331, _u19330)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), _u19330))) )).
% 12.21/12.47 cnf(matrix-7779, plain, ( ~hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), skolem477(_u19333, _u19332, _u19331, _u19330)))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19331)), _u19332))) )).
% 12.21/12.47 cnf(matrix-7780, plain, ( ~hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), skolem477(_u19333, _u19332, _u19331, _u19330)))) | ( c_List_OtakeWhile(_u19331, _u19333, _u19332) = hAPP(hAPP(c_List_Otake(_u19331), _u19330), _u19332)) | hBOOL(hAPP(_u19333, hAPP(hAPP(c_List_Onth(_u19331), _u19332), _u19330))) )).
% 12.21/12.47 cnf(matrix-7781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), _u19338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), c_List_OtakeWhile(_u19337, _u19336, _u19338)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem478(_u19338, _u19337, _u19336, _u19335)), _u19335)) )).
% 12.21/12.47 cnf(matrix-7782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), _u19338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19335), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19337)), c_List_OtakeWhile(_u19337, _u19336, _u19338)))) | ~hBOOL(hAPP(_u19336, hAPP(hAPP(c_List_Onth(_u19337), _u19338), skolem478(_u19338, _u19337, _u19336, _u19335)))) )).
% 12.21/12.47 cnf(matrix-7783, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19339)), _u19340), c_List_Olists(_u19339, _u19341))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19339)), _u19340), c_List_Olists(_u19339, _u19342))) | hBOOL(hAPP(c_List_Olistsp(_u19339, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19339, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u19339, tc_fun(_u19339, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19339)), _u19341)), hAPP(hAPP(c_COMBC(_u19339, tc_fun(_u19339, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19339)), _u19342))), _u19340)) )).
% 12.21/12.47 cnf(matrix-7784, plain, ( hBOOL(hAPP(c_List_Olistsp(_u19343, _u19344), c_List_Olist_ONil(_u19343))) )).
% 12.21/12.47 cnf(matrix-7785, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), hAPP(hAPP(c_List_Oappend(_u19349), _u19353), _u19355))) | hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), _u19353)) )).
% 12.21/12.47 cnf(matrix-7786, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), hAPP(hAPP(c_List_Oappend(_u19349), _u19353), _u19355))) | hBOOL(hAPP(c_List_Olistsp(_u19349, _u19351), _u19355)) )).
% 12.21/12.47 cnf(matrix-7787, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19350, _u19352), _u19354)) | ~hBOOL(hAPP(c_List_Olistsp(_u19350, _u19352), _u19356)) | hBOOL(hAPP(c_List_Olistsp(_u19350, _u19352), hAPP(hAPP(c_List_Oappend(_u19350), _u19354), _u19356))) )).
% 12.21/12.47 cnf(matrix-7788, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19361, _u19363), hAPP(hAPP(c_List_Olist_OCons(_u19361), _u19365), _u19367))) | hBOOL(hAPP(_u19363, _u19365)) )).
% 12.21/12.47 cnf(matrix-7789, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19361, _u19363), hAPP(hAPP(c_List_Olist_OCons(_u19361), _u19365), _u19367))) | hBOOL(hAPP(c_List_Olistsp(_u19361, _u19363), _u19367)) )).
% 12.21/12.47 cnf(matrix-7790, plain, ( ~hBOOL(hAPP(_u19364, _u19366)) | ~hBOOL(hAPP(c_List_Olistsp(_u19362, _u19364), _u19368)) | hBOOL(hAPP(c_List_Olistsp(_u19362, _u19364), hAPP(hAPP(c_List_Olist_OCons(_u19362), _u19366), _u19368))) )).
% 12.21/12.47 cnf(matrix-7791, plain, ( hBOOL(hAPP(c_List_Olistsp(_u19369, _u19370), c_List_Olist_ONil(_u19369))) )).
% 12.21/12.47 cnf(matrix-7792, plain, ( ( c_List_Olistsp(_u19371, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19371, tc_HOL_Obool)), _u19372), _u19373)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u19371), tc_HOL_Obool)), c_List_Olistsp(_u19371, _u19372)), c_List_Olistsp(_u19371, _u19373))) )).
% 12.21/12.47 cnf(matrix-7793, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19374, _u19375), _u19376)) | ~hBOOL(hAPP(c_List_Olistsp(_u19374, _u19377), _u19376)) | hBOOL(hAPP(c_List_Olistsp(_u19374, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19374, tc_HOL_Obool)), _u19375), _u19377)), _u19376)) )).
% 12.21/12.47 cnf(matrix-7794, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19382, hAPP(hAPP(c_COMBS(_u19382, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19382), c_fconj), _u19384)), _u19386)), _u19388)) | hBOOL(hAPP(c_List_Olistsp(_u19382, _u19384), _u19388)) )).
% 12.21/12.47 cnf(matrix-7795, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19382, hAPP(hAPP(c_COMBS(_u19382, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19382), c_fconj), _u19384)), _u19386)), _u19388)) | hBOOL(hAPP(c_List_Olistsp(_u19382, _u19386), _u19388)) )).
% 12.21/12.47 cnf(matrix-7796, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19383, _u19385), _u19389)) | ~hBOOL(hAPP(c_List_Olistsp(_u19383, _u19387), _u19389)) | hBOOL(hAPP(c_List_Olistsp(_u19383, hAPP(hAPP(c_COMBS(_u19383, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19383), c_fconj), _u19385)), _u19387)), _u19389)) )).
% 12.21/12.47 cnf(matrix-7797, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19395, _u19397), _u19399)) | ~hBOOL(hAPP(hAPP(c_member(_u19395), _u19390), hAPP(c_List_Oset(_u19395), _u19399))) | hBOOL(hAPP(_u19397, _u19390)) )).
% 12.21/12.47 cnf(matrix-7798, plain, ( hBOOL(hAPP(c_List_Olistsp(_u19396, _u19398), _u19400)) | hBOOL(hAPP(hAPP(c_member(_u19396), skolem479(_u19400, _u19398, _u19396)), hAPP(c_List_Oset(_u19396), _u19400))) )).
% 12.21/12.47 cnf(matrix-7799, plain, ( hBOOL(hAPP(c_List_Olistsp(_u19396, _u19398), _u19400)) | ~hBOOL(hAPP(_u19398, skolem479(_u19400, _u19398, _u19396))) )).
% 12.21/12.47 cnf(matrix-7800, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19401, tc_HOL_Obool)), _u19402), _u19403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u19401), tc_HOL_Obool)), c_List_Olistsp(_u19401, _u19402)), c_List_Olistsp(_u19401, _u19403))) )).
% 12.21/12.47 cnf(matrix-7801, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u19407, hAPP(hAPP(c_COMBC(_u19407, tc_fun(_u19407, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19407)), _u19409)), _u19411)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19407)), _u19411), c_List_Olists(_u19407, _u19409))) )).
% 12.21/12.47 cnf(matrix-7802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19408)), _u19412), c_List_Olists(_u19408, _u19410))) | hBOOL(hAPP(c_List_Olistsp(_u19408, hAPP(hAPP(c_COMBC(_u19408, tc_fun(_u19408, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19408)), _u19410)), _u19412)) )).
% 12.21/12.47 cnf(matrix-7803, plain, ( ( c_List_Olistsp(_u19413, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19413, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u19413, tc_fun(_u19413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19413)), _u19414)), hAPP(hAPP(c_COMBC(_u19413, tc_fun(_u19413, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19413)), _u19415))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u19413), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19413), tc_fun(tc_List_Olist(_u19413), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u19413))), c_List_Olists(_u19413, _u19414))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19413), tc_fun(tc_List_Olist(_u19413), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u19413))), c_List_Olists(_u19413, _u19415)))) )).
% 12.21/12.47 cnf(matrix-7804, plain, ( ~c_List_Olist__all2(_u19423, _u19425, _u19427, _u19429, _u19431) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19423)), _u19429) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19425)), _u19431)) )).
% 12.21/12.47 cnf(matrix-7805, plain, ( ~c_List_Olist__all2(_u19423, _u19425, _u19427, _u19429, _u19431) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19423, _u19425)), _u19416), hAPP(c_List_Oset(tc_prod(_u19423, _u19425)), hAPP(hAPP(c_List_Ozip(_u19423, _u19425), _u19429), _u19431)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19423, _u19425, tc_HOL_Obool), _u19427), _u19416)) )).
% 12.21/12.47 cnf(matrix-7806, plain, ( c_List_Olist__all2(_u19424, _u19426, _u19428, _u19430, _u19432) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19424)), _u19430) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19426)), _u19432)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19424, _u19426)), skolem480(_u19432, _u19430, _u19428, _u19426, _u19424)), hAPP(c_List_Oset(tc_prod(_u19424, _u19426)), hAPP(hAPP(c_List_Ozip(_u19424, _u19426), _u19430), _u19432)))) )).
% 12.21/12.47 cnf(matrix-7807, plain, ( c_List_Olist__all2(_u19424, _u19426, _u19428, _u19430, _u19432) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19424)), _u19430) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19426)), _u19432)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19424, _u19426, tc_HOL_Obool), _u19428), skolem480(_u19432, _u19430, _u19428, _u19426, _u19424))) )).
% 12.21/12.47 cnf(matrix-7808, plain, ( ~class_Orderings_Olinorder(_u19439) | ~c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 = c_List_Olist_ONil(_u19439)) | c_List_Olinorder__class_Osorted(_u19439, skolem481(_u19440, _u19439)) )).
% 12.21/12.47 cnf(matrix-7809, plain, ( ~class_Orderings_Olinorder(_u19439) | ~c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 = c_List_Olist_ONil(_u19439)) | ( _u19440 = hAPP(hAPP(c_List_Olist_OCons(_u19439), skolem482(_u19440, _u19439)), skolem481(_u19440, _u19439))) )).
% 12.21/12.47 cnf(matrix-7810, plain, ( ~class_Orderings_Olinorder(_u19439) | ~c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 = c_List_Olist_ONil(_u19439)) | ~hBOOL(hAPP(hAPP(c_member(_u19439), _u19433), hAPP(c_List_Oset(_u19439), skolem481(_u19440, _u19439)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19439), skolem482(_u19440, _u19439)), _u19433)) )).
% 12.21/12.47 cnf(matrix-7811, plain, ( ~class_Orderings_Olinorder(_u19439) | c_List_Olinorder__class_Osorted(_u19439, _u19440) | ( _u19440 != c_List_Olist_ONil(_u19439)) )).
% 12.21/12.47 cnf(matrix-7812, plain, ( ~class_Orderings_Olinorder(_u19439) | c_List_Olinorder__class_Osorted(_u19439, _u19440) | ~c_List_Olinorder__class_Osorted(_u19439, _u19438) | ( _u19440 != hAPP(hAPP(c_List_Olist_OCons(_u19439), _u19437), _u19438)) | hBOOL(hAPP(hAPP(c_member(_u19439), skolem483(_u19440, _u19439, _u19438, _u19437)), hAPP(c_List_Oset(_u19439), _u19438))) )).
% 12.21/12.47 cnf(matrix-7813, plain, ( ~class_Orderings_Olinorder(_u19439) | c_List_Olinorder__class_Osorted(_u19439, _u19440) | ~c_List_Olinorder__class_Osorted(_u19439, _u19438) | ( _u19440 != hAPP(hAPP(c_List_Olist_OCons(_u19439), _u19437), _u19438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19439), _u19437), skolem483(_u19440, _u19439, _u19438, _u19437))) )).
% 12.21/12.47 cnf(matrix-7814, plain, ( ~c_List_Olist__all2(_u19441, _u19442, _u19443, _u19444, _u19445) | ~hBOOL(hAPP(hAPP(_u19443, _u19446), _u19447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19448), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19442)), _u19445))) | c_List_Olist__all2(_u19441, _u19442, _u19443, hAPP(hAPP(c_List_Olist__update(_u19441, _u19444), _u19448), _u19446), hAPP(hAPP(c_List_Olist__update(_u19442, _u19445), _u19448), _u19447)) )).
% 12.21/12.47 cnf(matrix-7815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19449), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19450)), _u19451))) | ~c_List_Olist__all2(_u19450, _u19452, _u19453, _u19451, _u19454) | ~hBOOL(hAPP(hAPP(_u19453, _u19455), _u19456)) | c_List_Olist__all2(_u19450, _u19452, _u19453, hAPP(hAPP(c_List_Olist__update(_u19450, _u19451), _u19449), _u19455), hAPP(hAPP(c_List_Olist__update(_u19452, _u19454), _u19449), _u19456)) )).
% 12.21/12.47 cnf(matrix-7816, plain, ( ~c_List_Olist__all2(_u19464, _u19466, _u19468, _u19470, _u19472) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19464)), _u19470) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19466)), _u19472)) )).
% 12.21/12.47 cnf(matrix-7817, plain, ( ~c_List_Olist__all2(_u19464, _u19466, _u19468, _u19470, _u19472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19457), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19464)), _u19470))) | hBOOL(hAPP(hAPP(_u19468, hAPP(hAPP(c_List_Onth(_u19464), _u19470), _u19457)), hAPP(hAPP(c_List_Onth(_u19466), _u19472), _u19457))) )).
% 12.21/12.47 cnf(matrix-7818, plain, ( c_List_Olist__all2(_u19465, _u19467, _u19469, _u19471, _u19473) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19465)), _u19471) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19467)), _u19473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem484(_u19473, _u19471, _u19469, _u19467, _u19465)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19465)), _u19471))) )).
% 12.21/12.47 cnf(matrix-7819, plain, ( c_List_Olist__all2(_u19465, _u19467, _u19469, _u19471, _u19473) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19465)), _u19471) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19467)), _u19473)) | ~hBOOL(hAPP(hAPP(_u19469, hAPP(hAPP(c_List_Onth(_u19465), _u19471), skolem484(_u19473, _u19471, _u19469, _u19467, _u19465))), hAPP(hAPP(c_List_Onth(_u19467), _u19473), skolem484(_u19473, _u19471, _u19469, _u19467, _u19465)))) )).
% 12.21/12.47 cnf(matrix-7820, plain, ( ~c_List_Olist__all2(_u19474, _u19475, _u19476, _u19477, _u19478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19479), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19474)), _u19477))) | hBOOL(hAPP(hAPP(_u19476, hAPP(hAPP(c_List_Onth(_u19474), _u19477), _u19479)), hAPP(hAPP(c_List_Onth(_u19475), _u19478), _u19479))) )).
% 12.21/12.47 cnf(matrix-7821, plain, ( ~c_List_Olist__all2(_u19480, _u19481, _u19482, _u19483, _u19484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19485), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19481)), _u19484))) | hBOOL(hAPP(hAPP(_u19482, hAPP(hAPP(c_List_Onth(_u19480), _u19483), _u19485)), hAPP(hAPP(c_List_Onth(_u19481), _u19484), _u19485))) )).
% 12.21/12.47 cnf(matrix-7822, plain, ( ~c_List_Olist__all2(_u19493, _u19495, _u19497, _u19499, hAPP(hAPP(c_List_Omap(_u19501, _u19495), _u19503), _u19505)) | c_List_Olist__all2(_u19493, _u19501, hAPP(hAPP(c_COMBC(_u19493, tc_fun(_u19501, _u19495), tc_fun(_u19501, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19495, tc_HOL_Obool), tc_fun(tc_fun(_u19501, _u19495), tc_fun(_u19501, tc_HOL_Obool)), _u19493), c_COMBB(_u19495, tc_HOL_Obool, _u19501)), _u19497)), _u19503), _u19499, _u19505) )).
% 12.21/12.47 cnf(matrix-7823, plain, ( ~c_List_Olist__all2(_u19494, _u19502, hAPP(hAPP(c_COMBC(_u19494, tc_fun(_u19502, _u19496), tc_fun(_u19502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19496, tc_HOL_Obool), tc_fun(tc_fun(_u19502, _u19496), tc_fun(_u19502, tc_HOL_Obool)), _u19494), c_COMBB(_u19496, tc_HOL_Obool, _u19502)), _u19498)), _u19504), _u19500, _u19506) | c_List_Olist__all2(_u19494, _u19496, _u19498, _u19500, hAPP(hAPP(c_List_Omap(_u19502, _u19496), _u19504), _u19506)) )).
% 12.21/12.47 cnf(matrix-7824, plain, ( ~c_List_Olist__all2(_u19514, _u19516, _u19518, hAPP(hAPP(c_List_Omap(_u19520, _u19514), _u19522), _u19524), _u19526) | c_List_Olist__all2(_u19520, _u19516, hAPP(hAPP(c_COMBB(_u19514, tc_fun(_u19516, tc_HOL_Obool), _u19520), _u19518), _u19522), _u19524, _u19526) )).
% 12.21/12.47 cnf(matrix-7825, plain, ( ~c_List_Olist__all2(_u19521, _u19517, hAPP(hAPP(c_COMBB(_u19515, tc_fun(_u19517, tc_HOL_Obool), _u19521), _u19519), _u19523), _u19525, _u19527) | c_List_Olist__all2(_u19515, _u19517, _u19519, hAPP(hAPP(c_List_Omap(_u19521, _u19515), _u19523), _u19525), _u19527) )).
% 12.21/12.47 cnf(matrix-7826, plain, ( ( _u19531 != _u19533) | c_List_Olist__all2(_u19535, _u19535, c_fequal, _u19531, _u19533) )).
% 12.21/12.47 cnf(matrix-7827, plain, ( ~c_List_Olist__all2(_u19536, _u19536, c_fequal, _u19532, _u19534) | ( _u19532 = _u19534) )).
% 12.21/12.47 cnf(matrix-7828, plain, ( ~c_List_Olist__all2(_u19537, _u19538, _u19539, _u19540, _u19541) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19537)), _u19540) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19538)), _u19541)) )).
% 12.21/12.47 cnf(matrix-7829, plain, ( ~c_List_Olist__all2(_u19542, _u19543, _u19544, _u19545, _u19546) | c_List_Olist__all2(_u19542, _u19543, _u19544, hAPP(hAPP(c_List_Odrop(_u19542), _u19547), _u19545), hAPP(hAPP(c_List_Odrop(_u19543), _u19547), _u19546)) )).
% 12.21/12.47 cnf(matrix-7830, plain, ( ~c_List_Olist__all2(_u19552, _u19554, _u19556, _u19558, c_List_Olist_ONil(_u19554)) | ( _u19558 = c_List_Olist_ONil(_u19552)) )).
% 12.21/12.47 cnf(matrix-7831, plain, ( ( _u19559 != c_List_Olist_ONil(_u19553)) | c_List_Olist__all2(_u19553, _u19555, _u19557, _u19559, c_List_Olist_ONil(_u19555)) )).
% 12.21/12.47 cnf(matrix-7832, plain, ( ( _u19570 = c_List_Olist_ONil(_u19566)) | ~c_List_Olist__all2(_u19564, _u19566, _u19568, c_List_Olist_ONil(_u19564), _u19570) )).
% 12.21/12.47 cnf(matrix-7833, plain, ( ( _u19571 != c_List_Olist_ONil(_u19567)) | c_List_Olist__all2(_u19565, _u19567, _u19569, c_List_Olist_ONil(_u19565), _u19571) )).
% 12.21/12.47 cnf(matrix-7834, plain, ( ~c_List_Olist__all2(_u19572, _u19573, _u19574, _u19575, _u19576) | c_List_Olist__all2(_u19572, _u19573, _u19574, hAPP(hAPP(c_List_Otake(_u19572), _u19577), _u19575), hAPP(hAPP(c_List_Otake(_u19573), _u19577), _u19576)) )).
% 12.21/12.47 cnf(matrix-7835, plain, ( ~c_List_Olist__all2(_u19585, _u19587, _u19589, hAPP(hAPP(c_List_Olist_OCons(_u19585), _u19591), _u19593), hAPP(hAPP(c_List_Olist_OCons(_u19587), _u19595), _u19597)) | hBOOL(hAPP(hAPP(_u19589, _u19591), _u19595)) )).
% 12.21/12.47 cnf(matrix-7836, plain, ( ~c_List_Olist__all2(_u19585, _u19587, _u19589, hAPP(hAPP(c_List_Olist_OCons(_u19585), _u19591), _u19593), hAPP(hAPP(c_List_Olist_OCons(_u19587), _u19595), _u19597)) | c_List_Olist__all2(_u19585, _u19587, _u19589, _u19593, _u19597) )).
% 12.21/12.47 cnf(matrix-7837, plain, ( ~hBOOL(hAPP(hAPP(_u19590, _u19592), _u19596)) | ~c_List_Olist__all2(_u19586, _u19588, _u19590, _u19594, _u19598) | c_List_Olist__all2(_u19586, _u19588, _u19590, hAPP(hAPP(c_List_Olist_OCons(_u19586), _u19592), _u19594), hAPP(hAPP(c_List_Olist_OCons(_u19588), _u19596), _u19598)) )).
% 12.21/12.47 cnf(matrix-7838, plain, ( ~c_List_Olist__all2(_u19599, _u19600, _u19601, _u19602, _u19603) | ~c_List_Olist__all2(_u19599, _u19600, _u19601, _u19604, _u19605) | c_List_Olist__all2(_u19599, _u19600, _u19601, hAPP(hAPP(c_List_Oappend(_u19599), _u19602), _u19604), hAPP(hAPP(c_List_Oappend(_u19600), _u19603), _u19605)) )).
% 12.21/12.47 cnf(matrix-7839, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19606)), _u19607) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19608)), _u19609)) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, hAPP(hAPP(c_List_Oappend(_u19606), _u19607), _u19611), hAPP(hAPP(c_List_Oappend(_u19608), _u19609), _u19612)) | c_List_Olist__all2(_u19606, _u19608, _u19610, _u19607, _u19609) )).
% 12.21/12.47 cnf(matrix-7840, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19606)), _u19607) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19608)), _u19609)) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, hAPP(hAPP(c_List_Oappend(_u19606), _u19607), _u19611), hAPP(hAPP(c_List_Oappend(_u19608), _u19609), _u19612)) | c_List_Olist__all2(_u19606, _u19608, _u19610, _u19611, _u19612) )).
% 12.21/12.47 cnf(matrix-7841, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19606)), _u19607) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19608)), _u19609)) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, _u19607, _u19609) | ~c_List_Olist__all2(_u19606, _u19608, _u19610, _u19611, _u19612) | c_List_Olist__all2(_u19606, _u19608, _u19610, hAPP(hAPP(c_List_Oappend(_u19606), _u19607), _u19611), hAPP(hAPP(c_List_Oappend(_u19608), _u19609), _u19612)) )).
% 12.21/12.47 cnf(matrix-7842, plain, ( ~c_List_Olist__all2(_u19618, _u19620, _u19622, hAPP(c_List_Orev(_u19618), _u19624), hAPP(c_List_Orev(_u19620), _u19626)) | c_List_Olist__all2(_u19618, _u19620, _u19622, _u19624, _u19626) )).
% 12.21/12.47 cnf(matrix-7843, plain, ( ~c_List_Olist__all2(_u19619, _u19621, _u19623, _u19625, _u19627) | c_List_Olist__all2(_u19619, _u19621, _u19623, hAPP(c_List_Orev(_u19619), _u19625), hAPP(c_List_Orev(_u19621), _u19627)) )).
% 12.21/12.47 cnf(matrix-7844, plain, ( ~c_List_Olist__all2(_u19633, _u19635, _u19637, hAPP(c_List_Orev(_u19633), _u19639), _u19641) | c_List_Olist__all2(_u19633, _u19635, _u19637, _u19639, hAPP(c_List_Orev(_u19635), _u19641)) )).
% 12.21/12.47 cnf(matrix-7845, plain, ( ~c_List_Olist__all2(_u19634, _u19636, _u19638, _u19640, hAPP(c_List_Orev(_u19636), _u19642)) | c_List_Olist__all2(_u19634, _u19636, _u19638, hAPP(c_List_Orev(_u19634), _u19640), _u19642) )).
% 12.21/12.47 cnf(matrix-7846, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19644)), _u19646) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)) | c_List_Olist__all2(_u19644, _u19645, _u19648, _u19646, _u19647) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19644, _u19645)), skolem485(_u19648, _u19647, _u19646, _u19645, _u19644)), hAPP(c_List_Oset(tc_prod(_u19644, _u19645)), hAPP(hAPP(c_List_Ozip(_u19644, _u19645), _u19646), _u19647)))) )).
% 12.21/12.47 cnf(matrix-7847, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19644)), _u19646) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19645)), _u19647)) | c_List_Olist__all2(_u19644, _u19645, _u19648, _u19646, _u19647) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19644, _u19645, tc_HOL_Obool), _u19648), skolem485(_u19648, _u19647, _u19646, _u19645, _u19644))) )).
% 12.21/12.47 cnf(matrix-7848, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19650), _u19653), hAPP(c_List_Oset(_u19650), _u19651))) | hBOOL(hAPP(_u19652, _u19653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem486(_u19653, _u19652, _u19651, _u19650)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19650)), _u19651))) )).
% 12.21/12.47 cnf(matrix-7849, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19650), _u19653), hAPP(c_List_Oset(_u19650), _u19651))) | hBOOL(hAPP(_u19652, _u19653)) | ~hBOOL(hAPP(_u19652, hAPP(hAPP(c_List_Onth(_u19650), _u19651), skolem486(_u19653, _u19652, _u19651, _u19650)))) )).
% 12.21/12.47 cnf(matrix-7850, plain, ( ~c_Fun_Oinj__on(_u19654, _u19655, _u19656, hAPP(hAPP(c_Set_Oinsert(_u19654), _u19657), hAPP(c_List_Oset(_u19654), _u19658))) | ( hAPP(hAPP(c_List_Omap(_u19654, _u19655), _u19656), hAPP(c_List_OremoveAll(_u19654, _u19657), _u19658)) = hAPP(c_List_OremoveAll(_u19655, hAPP(_u19656, _u19657)), hAPP(hAPP(c_List_Omap(_u19654, _u19655), _u19656), _u19658))) )).
% 12.21/12.47 cnf(matrix-7851, plain, ( hBOOL(hAPP(hAPP(c_member(_u19659), _u19660), hAPP(c_List_Oset(_u19659), _u19661))) | ( c_List_Oinsert(_u19659, _u19660, _u19661) = hAPP(hAPP(c_List_Olist_OCons(_u19659), _u19660), _u19661)) )).
% 12.21/12.47 cnf(matrix-7852, plain, ( hBOOL(hAPP(hAPP(c_member(_u19662), _u19663), hAPP(c_List_Oset(_u19662), _u19664))) | ( hAPP(c_List_OremoveAll(_u19662, _u19663), _u19664) = _u19664) )).
% 12.21/12.47 cnf(matrix-7853, plain, ( ( c_List_OremoveAll(_u19665, _u19666) = c_List_Ofilter(_u19665, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19665), c_fNot), hAPP(c_fequal, _u19666)))) )).
% 12.21/12.47 cnf(matrix-7854, plain, ( hBOOL(hAPP(_u19667, _u19668)) | ( hAPP(c_List_OremoveAll(_u19669, _u19668), hAPP(c_List_Ofilter(_u19669, _u19667), _u19670)) = hAPP(c_List_Ofilter(_u19669, _u19667), _u19670)) )).
% 12.21/12.47 cnf(matrix-7855, plain, ( ( hAPP(c_List_OremoveAll(_u19671, _u19672), c_List_Olist_ONil(_u19671)) = c_List_Olist_ONil(_u19671)) )).
% 12.21/12.47 cnf(matrix-7856, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19673), _u19674)) | hBOOL(hAPP(c_List_Odistinct(_u19673), c_List_Oinsert(_u19673, _u19675, _u19674))) )).
% 12.21/12.47 cnf(matrix-7857, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19676), _u19677)) | hBOOL(hAPP(c_List_Odistinct(_u19676), hAPP(c_List_OremoveAll(_u19676, _u19678), _u19677))) )).
% 12.21/12.47 cnf(matrix-7858, plain, ( ( c_List_Oinsert(_u19679, _u19680, c_List_Oremdups(_u19679, _u19681)) = c_List_Oremdups(_u19679, c_List_Oinsert(_u19679, _u19680, _u19681))) )).
% 12.21/12.47 cnf(matrix-7859, plain, ( ( _u19686 != _u19688) | ( hAPP(c_List_OremoveAll(_u19690, _u19686), hAPP(hAPP(c_List_Olist_OCons(_u19690), _u19688), _u19692)) = hAPP(c_List_OremoveAll(_u19690, _u19686), _u19692)) )).
% 12.21/12.47 cnf(matrix-7860, plain, ( ( _u19687 = _u19689) | ( hAPP(c_List_OremoveAll(_u19691, _u19687), hAPP(hAPP(c_List_Olist_OCons(_u19691), _u19689), _u19693)) = hAPP(hAPP(c_List_Olist_OCons(_u19691), _u19689), hAPP(c_List_OremoveAll(_u19691, _u19687), _u19693))) )).
% 12.21/12.47 cnf(matrix-7861, plain, ( ( hAPP(c_List_OremoveAll(_u19694, _u19695), hAPP(hAPP(c_List_Oappend(_u19694), _u19696), _u19697)) = hAPP(hAPP(c_List_Oappend(_u19694), hAPP(c_List_OremoveAll(_u19694, _u19695), _u19696)), hAPP(c_List_OremoveAll(_u19694, _u19695), _u19697))) )).
% 12.21/12.47 cnf(matrix-7862, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19698), _u19699)) | ( c_List_Oremove1(_u19698, _u19700, _u19699) = hAPP(c_List_OremoveAll(_u19698, _u19700), _u19699)) )).
% 12.21/12.47 cnf(matrix-7863, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19701), _u19702), hAPP(c_List_Oset(_u19701), _u19703))) | ( c_List_Oinsert(_u19701, _u19702, _u19703) = _u19703) )).
% 12.21/12.47 cnf(matrix-7864, plain, ( ( hAPP(c_List_Oset(_u19704), c_List_Oinsert(_u19704, _u19705, _u19706)) = hAPP(hAPP(c_Set_Oinsert(_u19704), _u19705), hAPP(c_List_Oset(_u19704), _u19706))) )).
% 12.21/12.47 cnf(matrix-7865, plain, ( ( c_List_Oinsert(_u19707, _u19708, c_List_Olist_ONil(_u19707)) = hAPP(hAPP(c_List_Olist_OCons(_u19707), _u19708), c_List_Olist_ONil(_u19707))) )).
% 12.21/12.47 cnf(matrix-7866, plain, ( ~c_Fun_Oinj__on(_u19709, _u19710, _u19711, c_Orderings_Otop__class_Otop(tc_fun(_u19709, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u19709, _u19710), _u19711), hAPP(c_List_OremoveAll(_u19709, _u19712), _u19713)) = hAPP(c_List_OremoveAll(_u19710, hAPP(_u19711, _u19712)), hAPP(hAPP(c_List_Omap(_u19709, _u19710), _u19711), _u19713))) )).
% 12.21/12.47 cnf(matrix-7867, plain, ( ( hAPP(c_List_Oset(_u19714), hAPP(c_List_OremoveAll(_u19714, _u19715), _u19716)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19714, tc_HOL_Obool)), hAPP(c_List_Oset(_u19714), _u19716)), hAPP(hAPP(c_Set_Oinsert(_u19714), _u19715), c_Orderings_Obot__class_Obot(tc_fun(_u19714, tc_HOL_Obool))))) )).
% 12.21/12.47 cnf(matrix-7868, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19720), _u19722), hAPP(c_List_Oset(_u19720), _u19724))) | ( c_List_Oinsert(_u19720, _u19722, _u19724) = _u19724) )).
% 12.21/12.47 cnf(matrix-7869, plain, ( hBOOL(hAPP(hAPP(c_member(_u19721), _u19723), hAPP(c_List_Oset(_u19721), _u19725))) | ( c_List_Oinsert(_u19721, _u19723, _u19725) = hAPP(hAPP(c_List_Olist_OCons(_u19721), _u19723), _u19725)) )).
% 12.21/12.47 cnf(matrix-7870, plain, ( ( c_List_Oconcat(_u19726, hAPP(hAPP(c_List_Omap(_u19727, tc_List_Olist(_u19726)), _u19728), _u19729)) = c_List_Omaps(_u19727, _u19726, _u19728, _u19729)) )).
% 12.21/12.47 cnf(matrix-7871, plain, ( ( c_List_Omaps(_u19730, _u19731, _u19732, _u19733) = c_List_Oconcat(_u19731, hAPP(hAPP(c_List_Omap(_u19730, tc_List_Olist(_u19731)), _u19732), _u19733))) )).
% 12.21/12.47 cnf(matrix-7872, plain, ( ( c_List_Omaps(_u19734, _u19735, _u19736, c_List_Olist_ONil(_u19734)) = c_List_Olist_ONil(_u19735)) )).
% 12.21/12.47 cnf(matrix-7873, plain, ( ( c_List_Omaps(_u19737, _u19738, _u19739, hAPP(hAPP(c_List_Olist_OCons(_u19737), _u19740), _u19741)) = hAPP(hAPP(c_List_Oappend(_u19738), hAPP(_u19739, _u19740)), c_List_Omaps(_u19737, _u19738, _u19739, _u19741))) )).
% 12.21/12.47 cnf(matrix-7874, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem488(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.47 cnf(matrix-7875, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem489(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.47 cnf(matrix-7876, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( skolem488(_u19746, _u19745) != skolem489(_u19746, _u19745)) )).
% 12.21/12.47 cnf(matrix-7877, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem487(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19745, tc_HOL_Obool)), hAPP(c_List_Oset(_u19745), skolem488(_u19746, _u19745))), hAPP(c_List_Oset(_u19745), skolem489(_u19746, _u19745))) != c_Orderings_Obot__class_Obot(tc_fun(_u19745, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7878, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem488(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.47 cnf(matrix-7879, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), skolem489(_u19746, _u19745)), hAPP(c_List_Oset(tc_List_Olist(_u19745)), _u19746))) )).
% 12.21/12.47 cnf(matrix-7880, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( skolem488(_u19746, _u19745) != skolem489(_u19746, _u19745)) )).
% 12.21/12.47 cnf(matrix-7881, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19745)), _u19746)) | ~hBOOL(hAPP(c_List_Odistinct(_u19745), skolem487(_u19746, _u19745))) | hBOOL(hAPP(c_List_Odistinct(_u19745), c_List_Oconcat(_u19745, _u19746))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19745, tc_HOL_Obool)), hAPP(c_List_Oset(_u19745), skolem488(_u19746, _u19745))), hAPP(c_List_Oset(_u19745), skolem489(_u19746, _u19745))) != c_Orderings_Obot__class_Obot(tc_fun(_u19745, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-7882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u19747, _u19748)), hAPP(_u19747, _u19749))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), _u19748), _u19749)), c_List_Omeasures(_u19750, _u19751))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19750, _u19750)), hAPP(hAPP(c_Product__Type_OPair(_u19750, _u19750), _u19748), _u19749)), c_List_Omeasures(_u19750, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19750, tc_Nat_Onat)), _u19747), _u19751)))) )).
% 12.21/12.47 cnf(matrix-7883, plain, ( c_Wellfounded_Owf(_u19752, c_List_Omeasures(_u19752, _u19753)) )).
% 12.21/12.47 cnf(matrix-7884, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19754, _u19754)), hAPP(hAPP(c_Product__Type_OPair(_u19754, _u19754), _u19755), _u19756)), c_List_Omeasures(_u19754, c_List_Olist_ONil(tc_fun(_u19754, tc_Nat_Onat))))) )).
% 12.21/12.47 cnf(matrix-7885, plain, ( ( c_List_Omeasures(_u19757, _u19758) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u19757), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u19757, tc_List_Olist(tc_fun(_u19757, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19757, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u19757, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u19757), c_List_Omap(tc_fun(_u19757, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u19757, tc_Nat_Onat), _u19757, tc_Nat_Onat), c_COMBI(tc_fun(_u19757, tc_Nat_Onat))))), _u19758))) )).
% 12.21/12.47 cnf(matrix-7886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19759, _u19760)), hAPP(_u19759, _u19761))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19762, _u19762)), hAPP(hAPP(c_Product__Type_OPair(_u19762, _u19762), _u19760), _u19761)), c_List_Omeasures(_u19762, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19762, tc_Nat_Onat)), _u19759), _u19763)))) )).
% 12.21/12.47 cnf(matrix-7887, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19769, _u19769)), hAPP(hAPP(c_Product__Type_OPair(_u19769, _u19769), _u19771), _u19773)), c_List_Omeasures(_u19769, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19769, tc_Nat_Onat)), _u19775), _u19777)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19775, _u19771)), hAPP(_u19775, _u19773))) | ( hAPP(_u19775, _u19771) = hAPP(_u19775, _u19773)) )).
% 12.21/12.47 cnf(matrix-7888, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19769, _u19769)), hAPP(hAPP(c_Product__Type_OPair(_u19769, _u19769), _u19771), _u19773)), c_List_Omeasures(_u19769, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19769, tc_Nat_Onat)), _u19775), _u19777)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19775, _u19771)), hAPP(_u19775, _u19773))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19769, _u19769)), hAPP(hAPP(c_Product__Type_OPair(_u19769, _u19769), _u19771), _u19773)), c_List_Omeasures(_u19769, _u19777))) )).
% 12.21/12.47 cnf(matrix-7889, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19772), _u19774)), c_List_Omeasures(_u19770, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19770, tc_Nat_Onat)), _u19776), _u19778)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19776, _u19772)), hAPP(_u19776, _u19774))) )).
% 12.21/12.47 cnf(matrix-7890, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19772), _u19774)), c_List_Omeasures(_u19770, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19770, tc_Nat_Onat)), _u19776), _u19778)))) | ( hAPP(_u19776, _u19772) != hAPP(_u19776, _u19774)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19772), _u19774)), c_List_Omeasures(_u19770, _u19778))) )).
% 12.21/12.47 cnf(matrix-7891, plain, ( ( hAPP(c_List_Ofoldl(_u19782, _u19780, hAPP(c_COMBC(_u19780, _u19782, _u19782), _u19784), hAPP(_u19785, _u19787)), _u19781) = hAPP(_u19785, hAPP(c_List_Ofoldl(_u19783, _u19780, hAPP(c_COMBC(_u19780, _u19783, _u19783), _u19786), _u19787), _u19781))) | hBOOL(hAPP(hAPP(c_member(_u19780), skolem490(_u19787, _u19786, _u19785, _u19784, _u19783, _u19782, _u19781, _u19780)), hAPP(c_List_Oset(_u19780), _u19781))) )).
% 12.21/12.47 cnf(matrix-7892, plain, ( ( hAPP(c_List_Ofoldl(_u19782, _u19780, hAPP(c_COMBC(_u19780, _u19782, _u19782), _u19784), hAPP(_u19785, _u19787)), _u19781) = hAPP(_u19785, hAPP(c_List_Ofoldl(_u19783, _u19780, hAPP(c_COMBC(_u19780, _u19783, _u19783), _u19786), _u19787), _u19781))) | ( hAPP(c_Fun_Ocomp(_u19782, _u19782, _u19783, hAPP(_u19784, skolem490(_u19787, _u19786, _u19785, _u19784, _u19783, _u19782, _u19781, _u19780))), _u19785) != hAPP(c_Fun_Ocomp(_u19783, _u19782, _u19783, _u19785), hAPP(_u19786, skolem490(_u19787, _u19786, _u19785, _u19784, _u19783, _u19782, _u19781, _u19780)))) )).
% 12.21/12.47 cnf(matrix-7893, plain, ( hBOOL(hAPP(_u19792, hAPP(hAPP(c_List_Ozip(_u19788, _u19790), _u19789), _u19791))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), hAPP(hAPP(c_List_Otake(_u19788), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19789)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), hAPP(hAPP(c_List_Otake(_u19790), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19791))) )).
% 12.21/12.47 cnf(matrix-7894, plain, ( hBOOL(hAPP(_u19792, hAPP(hAPP(c_List_Ozip(_u19788, _u19790), _u19789), _u19791))) | ~hBOOL(hAPP(_u19792, hAPP(hAPP(c_List_Ozip(_u19788, _u19790), hAPP(hAPP(c_List_Otake(_u19788), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19789)), hAPP(hAPP(c_List_Otake(_u19790), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19788)), _u19789)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19790)), _u19791))), _u19791)))) )).
% 12.21/12.47 cnf(matrix-7895, plain, ( ( hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19796)) != hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19797))) | ( hAPP(c_Map_Omap__of(_u19794, _u19795), _u19796) = hAPP(c_Map_Omap__of(_u19794, _u19795), _u19797)) | hBOOL(hAPP(hAPP(c_member(_u19794), skolem491(_u19797, _u19796, _u19795, _u19794)), hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19796)))) )).
% 12.21/12.47 cnf(matrix-7896, plain, ( ( hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19796)) != hAPP(c_List_Oset(_u19794), hAPP(hAPP(c_List_Omap(tc_prod(_u19794, _u19795), _u19794), c_Product__Type_Ofst(_u19794, _u19795)), _u19797))) | ( hAPP(c_Map_Omap__of(_u19794, _u19795), _u19796) = hAPP(c_Map_Omap__of(_u19794, _u19795), _u19797)) | ( hAPP(hAPP(c_Map_Omap__of(_u19794, _u19795), _u19796), skolem491(_u19797, _u19796, _u19795, _u19794)) != hAPP(hAPP(c_Map_Omap__of(_u19794, _u19795), _u19797), skolem491(_u19797, _u19796, _u19795, _u19794))) )).
% 12.21/12.47 cnf(matrix-7897, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u19798, _u19799, _u19800, _u19801) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u19798, _u19799), _u19800), _u19801))) )).
% 12.21/12.47 cnf(matrix-7898, plain, ( ( c_List_OdropWhile(_u19803, _u19805, hAPP(hAPP(c_List_Oappend(_u19803), _u19804), _u19806)) = c_List_OdropWhile(_u19803, _u19805, _u19806)) | hBOOL(hAPP(hAPP(c_member(_u19803), skolem492(_u19806, _u19805, _u19804, _u19803)), hAPP(c_List_Oset(_u19803), _u19804))) )).
% 12.21/12.47 cnf(matrix-7899, plain, ( ( c_List_OdropWhile(_u19803, _u19805, hAPP(hAPP(c_List_Oappend(_u19803), _u19804), _u19806)) = c_List_OdropWhile(_u19803, _u19805, _u19806)) | ~hBOOL(hAPP(_u19805, skolem492(_u19806, _u19805, _u19804, _u19803))) )).
% 12.21/12.47 cnf(matrix-7900, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19808)), _u19809) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19810)), _u19811)) | c_List_Olist__all2(_u19808, _u19810, _u19812, _u19809, _u19811) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem493(_u19812, _u19811, _u19810, _u19809, _u19808)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19808)), _u19809))) )).
% 12.21/12.47 cnf(matrix-7901, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19808)), _u19809) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19810)), _u19811)) | c_List_Olist__all2(_u19808, _u19810, _u19812, _u19809, _u19811) | ~hBOOL(hAPP(hAPP(_u19812, hAPP(hAPP(c_List_Onth(_u19808), _u19809), skolem493(_u19812, _u19811, _u19810, _u19809, _u19808))), hAPP(hAPP(c_List_Onth(_u19810), _u19811), skolem493(_u19812, _u19811, _u19810, _u19809, _u19808)))) )).
% 12.21/12.47 cnf(matrix-7902, plain, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | ( hAPP(c_List_Oset(_u19815), skolem494(_u19816, _u19815)) = _u19816) )).
% 12.21/12.47 cnf(matrix-7903, plain, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | c_List_Olinorder__class_Osorted(_u19815, skolem494(_u19816, _u19815)) )).
% 12.21/12.47 cnf(matrix-7904, plain, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | hBOOL(hAPP(c_List_Odistinct(_u19815), skolem494(_u19816, _u19815))) )).
% 12.21/12.47 cnf(matrix-7905, plain, ( ~class_Orderings_Olinorder(_u19815) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19815), _u19816)) | ( hAPP(c_List_Oset(_u19815), _u19813) != _u19816) | ~c_List_Olinorder__class_Osorted(_u19815, _u19813) | ~hBOOL(hAPP(c_List_Odistinct(_u19815), _u19813)) | ( _u19813 = skolem494(_u19816, _u19815)) )).
% 12.21/12.47 cnf(matrix-7906, plain, ( ( c_List_OtakeWhile(_u19818, _u19820, hAPP(hAPP(c_List_Oappend(_u19818), _u19819), _u19821)) = hAPP(hAPP(c_List_Oappend(_u19818), _u19819), c_List_OtakeWhile(_u19818, _u19820, _u19821))) | hBOOL(hAPP(hAPP(c_member(_u19818), skolem495(_u19821, _u19820, _u19819, _u19818)), hAPP(c_List_Oset(_u19818), _u19819))) )).
% 12.21/12.47 cnf(matrix-7907, plain, ( ( c_List_OtakeWhile(_u19818, _u19820, hAPP(hAPP(c_List_Oappend(_u19818), _u19819), _u19821)) = hAPP(hAPP(c_List_Oappend(_u19818), _u19819), c_List_OtakeWhile(_u19818, _u19820, _u19821))) | ~hBOOL(hAPP(_u19820, skolem495(_u19821, _u19820, _u19819, _u19818))) )).
% 12.21/12.47 cnf(matrix-7908, plain, ( ~class_Orderings_Olinorder(_u19823) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19824, _u19823, _u19826), _u19827), _u19825) = hAPP(hAPP(c_List_Olist_OCons(_u19824), _u19827), _u19825)) | hBOOL(hAPP(hAPP(c_member(_u19824), skolem496(_u19827, _u19826, _u19825, _u19824, _u19823)), hAPP(c_List_Oset(_u19824), _u19825))) )).
% 12.21/12.47 cnf(matrix-7909, plain, ( ~class_Orderings_Olinorder(_u19823) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19824, _u19823, _u19826), _u19827), _u19825) = hAPP(hAPP(c_List_Olist_OCons(_u19824), _u19827), _u19825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19823), hAPP(_u19826, _u19827)), hAPP(_u19826, skolem496(_u19827, _u19826, _u19825, _u19824, _u19823)))) )).
% 12.21/12.47 cnf(matrix-7910, plain, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | hBOOL(hAPP(_u19841, _u19845)) )).
% 12.21/12.47 cnf(matrix-7911, plain, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | ~hBOOL(hAPP(hAPP(c_member(_u19839), _u19828), hAPP(c_List_Oset(_u19839), skolem497(_u19847, _u19845, _u19843, _u19841, _u19839)))) | ~hBOOL(hAPP(_u19841, _u19828)) )).
% 12.21/12.47 cnf(matrix-7912, plain, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | ( _u19843 = hAPP(hAPP(c_List_Oappend(_u19839), skolem497(_u19847, _u19845, _u19843, _u19841, _u19839)), hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), skolem498(_u19847, _u19845, _u19843, _u19841, _u19839)))) )).
% 12.21/12.47 cnf(matrix-7913, plain, ( ( hAPP(c_List_Ofilter(_u19839, _u19841), _u19843) != hAPP(hAPP(c_List_Olist_OCons(_u19839), _u19845), _u19847)) | ( _u19847 = hAPP(c_List_Ofilter(_u19839, _u19841), skolem498(_u19847, _u19845, _u19843, _u19841, _u19839))) )).
% 12.21/12.47 cnf(matrix-7914, plain, ( ( hAPP(c_List_Ofilter(_u19840, _u19842), _u19844) = hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19848)) | ~hBOOL(hAPP(_u19842, _u19846)) | ( _u19844 != hAPP(hAPP(c_List_Oappend(_u19840), _u19833), hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19832))) | ( _u19848 != hAPP(c_List_Ofilter(_u19840, _u19842), _u19832)) | hBOOL(hAPP(hAPP(c_member(_u19840), skolem499(_u19848, _u19846, _u19844, _u19842, _u19840, _u19833)), hAPP(c_List_Oset(_u19840), _u19833))) )).
% 12.21/12.47 cnf(matrix-7915, plain, ( ( hAPP(c_List_Ofilter(_u19840, _u19842), _u19844) = hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19848)) | ~hBOOL(hAPP(_u19842, _u19846)) | ( _u19844 != hAPP(hAPP(c_List_Oappend(_u19840), _u19833), hAPP(hAPP(c_List_Olist_OCons(_u19840), _u19846), _u19832))) | ( _u19848 != hAPP(c_List_Ofilter(_u19840, _u19842), _u19832)) | hBOOL(hAPP(_u19842, skolem499(_u19848, _u19846, _u19844, _u19842, _u19840, _u19833))) )).
% 12.21/12.47 cnf(matrix-7916, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | hBOOL(hAPP(_u19866, _u19862)) )).
% 12.21/12.47 cnf(matrix-7917, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | ~hBOOL(hAPP(hAPP(c_member(_u19860), _u19849), hAPP(c_List_Oset(_u19860), skolem500(_u19868, _u19866, _u19864, _u19862, _u19860)))) | ~hBOOL(hAPP(_u19866, _u19849)) )).
% 12.21/12.47 cnf(matrix-7918, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | ( _u19868 = hAPP(hAPP(c_List_Oappend(_u19860), skolem500(_u19868, _u19866, _u19864, _u19862, _u19860)), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), skolem501(_u19868, _u19866, _u19864, _u19862, _u19860)))) )).
% 12.21/12.47 cnf(matrix-7919, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19862), _u19864) != hAPP(c_List_Ofilter(_u19860, _u19866), _u19868)) | ( _u19864 = hAPP(c_List_Ofilter(_u19860, _u19866), skolem501(_u19868, _u19866, _u19864, _u19862, _u19860))) )).
% 12.21/12.47 cnf(matrix-7920, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19865) = hAPP(c_List_Ofilter(_u19861, _u19867), _u19869)) | ~hBOOL(hAPP(_u19867, _u19863)) | ( _u19869 != hAPP(hAPP(c_List_Oappend(_u19861), _u19854), hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19853))) | ( _u19865 != hAPP(c_List_Ofilter(_u19861, _u19867), _u19853)) | hBOOL(hAPP(hAPP(c_member(_u19861), skolem502(_u19869, _u19867, _u19865, _u19863, _u19861, _u19854)), hAPP(c_List_Oset(_u19861), _u19854))) )).
% 12.21/12.47 cnf(matrix-7921, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19865) = hAPP(c_List_Ofilter(_u19861, _u19867), _u19869)) | ~hBOOL(hAPP(_u19867, _u19863)) | ( _u19869 != hAPP(hAPP(c_List_Oappend(_u19861), _u19854), hAPP(hAPP(c_List_Olist_OCons(_u19861), _u19863), _u19853))) | ( _u19865 != hAPP(c_List_Ofilter(_u19861, _u19867), _u19853)) | hBOOL(hAPP(_u19867, skolem502(_u19869, _u19867, _u19865, _u19863, _u19861, _u19854))) )).
% 12.21/12.47 cnf(matrix-7922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19872)), _u19873))) | hBOOL(hAPP(_u19874, hAPP(hAPP(c_List_Onth(_u19872), _u19873), _u19871))) | hBOOL(hAPP(hAPP(c_member(_u19872), skolem503(_u19874, _u19873, _u19872, _u19871)), hAPP(c_List_Oset(_u19872), _u19873))) )).
% 12.21/12.47 cnf(matrix-7923, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19871), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19872)), _u19873))) | hBOOL(hAPP(_u19874, hAPP(hAPP(c_List_Onth(_u19872), _u19873), _u19871))) | ~hBOOL(hAPP(_u19874, skolem503(_u19874, _u19873, _u19872, _u19871))) )).
% 12.21/12.47 cnf(matrix-7924, plain, ( ~class_Orderings_Olinorder(_u19876) | ~c_List_Olinorder__class_Osorted(_u19876, _u19877) | c_List_Olinorder__class_Osorted(_u19876, hAPP(hAPP(c_List_Olist_OCons(_u19876), _u19878), _u19877)) | hBOOL(hAPP(hAPP(c_member(_u19876), skolem504(_u19878, _u19877, _u19876)), hAPP(c_List_Oset(_u19876), _u19877))) )).
% 12.21/12.47 cnf(matrix-7925, plain, ( ~class_Orderings_Olinorder(_u19876) | ~c_List_Olinorder__class_Osorted(_u19876, _u19877) | c_List_Olinorder__class_Osorted(_u19876, hAPP(hAPP(c_List_Olist_OCons(_u19876), _u19878), _u19877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19876), _u19878), skolem504(_u19878, _u19877, _u19876))) )).
% 12.21/12.47 cnf(matrix-7926, plain, ( ~c_List_Olist__ex(_u19884, _u19886, _u19888) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem505(_u19888, _u19886, _u19884)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19884)), _u19888))) )).
% 12.21/12.47 cnf(matrix-7927, plain, ( ~c_List_Olist__ex(_u19884, _u19886, _u19888) | hBOOL(hAPP(_u19886, hAPP(hAPP(c_List_Onth(_u19884), _u19888), skolem505(_u19888, _u19886, _u19884)))) )).
% 12.21/12.47 cnf(matrix-7928, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19880), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19885)), _u19889))) | ~hBOOL(hAPP(_u19887, hAPP(hAPP(c_List_Onth(_u19885), _u19889), _u19880))) | c_List_Olist__ex(_u19885, _u19887, _u19889) )).
% 12.21/12.47 cnf(matrix-7929, plain, ( ~c_List_Olist__ex(_u19894, _u19896, hAPP(hAPP(c_List_Olist_OCons(_u19894), _u19898), _u19900)) | hBOOL(hAPP(_u19896, _u19898)) | c_List_Olist__ex(_u19894, _u19896, _u19900) )).
% 12.21/12.47 cnf(matrix-7930, plain, ( c_List_Olist__ex(_u19895, _u19897, hAPP(hAPP(c_List_Olist_OCons(_u19895), _u19899), _u19901)) | ~hBOOL(hAPP(_u19897, _u19899)) )).
% 12.21/12.47 cnf(matrix-7931, plain, ( c_List_Olist__ex(_u19895, _u19897, hAPP(hAPP(c_List_Olist_OCons(_u19895), _u19899), _u19901)) | ~c_List_Olist__ex(_u19895, _u19897, _u19901) )).
% 12.21/12.47 cnf(matrix-7932, plain, ( ~c_List_Olist__ex(_u19905, _u19907, hAPP(c_List_Orev(_u19905), _u19909)) | c_List_Olist__ex(_u19905, _u19907, _u19909) )).
% 12.21/12.47 cnf(matrix-7933, plain, ( ~c_List_Olist__ex(_u19906, _u19908, _u19910) | c_List_Olist__ex(_u19906, _u19908, hAPP(c_List_Orev(_u19906), _u19910)) )).
% 12.21/12.47 cnf(matrix-7934, plain, ( ~c_List_Olist__ex(_u19915, _u19917, hAPP(hAPP(c_List_Oappend(_u19915), _u19919), _u19921)) | c_List_Olist__ex(_u19915, _u19917, _u19919) | c_List_Olist__ex(_u19915, _u19917, _u19921) )).
% 12.21/12.47 cnf(matrix-7935, plain, ( c_List_Olist__ex(_u19916, _u19918, hAPP(hAPP(c_List_Oappend(_u19916), _u19920), _u19922)) | ~c_List_Olist__ex(_u19916, _u19918, _u19920) )).
% 12.21/12.47 cnf(matrix-7936, plain, ( c_List_Olist__ex(_u19916, _u19918, hAPP(hAPP(c_List_Oappend(_u19916), _u19920), _u19922)) | ~c_List_Olist__ex(_u19916, _u19918, _u19922) )).
% 12.21/12.47 cnf(matrix-7937, plain, ( ~c_List_Olist__ex(_u19928, _u19930, _u19932) | hBOOL(hAPP(hAPP(c_member(_u19928), skolem506(_u19932, _u19930, _u19928)), hAPP(c_List_Oset(_u19928), _u19932))) )).
% 12.21/12.47 cnf(matrix-7938, plain, ( ~c_List_Olist__ex(_u19928, _u19930, _u19932) | hBOOL(hAPP(_u19930, skolem506(_u19932, _u19930, _u19928))) )).
% 12.21/12.47 cnf(matrix-7939, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19929), _u19924), hAPP(c_List_Oset(_u19929), _u19933))) | ~hBOOL(hAPP(_u19931, _u19924)) | c_List_Olist__ex(_u19929, _u19931, _u19933) )).
% 12.21/12.47 cnf(matrix-7940, plain, ( ~c_List_Olist__ex(_u19934, _u19935, c_List_Olist_ONil(_u19934)) )).
% 12.21/12.47 cnf(matrix-7941, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19943), _u19945), hAPP(c_List_Oset(_u19943), _u19947))) | ( _u19947 = hAPP(hAPP(c_List_Oappend(_u19943), skolem507(_u19947, _u19945, _u19943)), hAPP(hAPP(c_List_Olist_OCons(_u19943), _u19945), skolem508(_u19947, _u19945, _u19943)))) )).
% 12.21/12.47 cnf(matrix-7942, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19943), _u19945), hAPP(c_List_Oset(_u19943), _u19947))) | ~hBOOL(hAPP(hAPP(c_member(_u19943), _u19945), hAPP(c_List_Oset(_u19943), skolem507(_u19947, _u19945, _u19943)))) )).
% 12.21/12.47 cnf(matrix-7943, plain, ( ( _u19948 != hAPP(hAPP(c_List_Oappend(_u19944), _u19939), hAPP(hAPP(c_List_Olist_OCons(_u19944), _u19946), _u19938))) | hBOOL(hAPP(hAPP(c_member(_u19944), _u19946), hAPP(c_List_Oset(_u19944), _u19939))) | hBOOL(hAPP(hAPP(c_member(_u19944), _u19946), hAPP(c_List_Oset(_u19944), _u19948))) )).
% 12.21/12.47 cnf(matrix-7944, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), _u19960))) | ( _u19960 = hAPP(hAPP(c_List_Oappend(_u19956), skolem509(_u19960, _u19958, _u19956)), hAPP(hAPP(c_List_Olist_OCons(_u19956), _u19958), skolem510(_u19960, _u19958, _u19956)))) )).
% 12.21/12.47 cnf(matrix-7945, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), _u19960))) | ~hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), skolem510(_u19960, _u19958, _u19956)))) )).
% 12.21/12.47 cnf(matrix-7946, plain, ( ( _u19961 != hAPP(hAPP(c_List_Oappend(_u19957), _u19952), hAPP(hAPP(c_List_Olist_OCons(_u19957), _u19959), _u19951))) | hBOOL(hAPP(hAPP(c_member(_u19957), _u19959), hAPP(c_List_Oset(_u19957), _u19951))) | hBOOL(hAPP(hAPP(c_member(_u19957), _u19959), hAPP(c_List_Oset(_u19957), _u19961))) )).
% 12.21/12.47 cnf(matrix-7947, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19969), _u19971), hAPP(c_List_Oset(_u19969), _u19973))) | ( _u19973 = hAPP(hAPP(c_List_Oappend(_u19969), skolem511(_u19973, _u19971, _u19969)), hAPP(hAPP(c_List_Olist_OCons(_u19969), _u19971), skolem512(_u19973, _u19971, _u19969)))) )).
% 12.21/12.47 cnf(matrix-7948, plain, ( ( _u19974 != hAPP(hAPP(c_List_Oappend(_u19970), _u19965), hAPP(hAPP(c_List_Olist_OCons(_u19970), _u19972), _u19964))) | hBOOL(hAPP(hAPP(c_member(_u19970), _u19972), hAPP(c_List_Oset(_u19970), _u19974))) )).
% 12.21/12.47 cnf(matrix-7949, plain, ( ( c_Nitpick_Oplus__frac(_u19975, _u19976, _u19977) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u19975), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u19975), _u19976), hAPP(c_Nitpick_Odenom(_u19975), _u19977))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u19975), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u19975), tc_Int_Oint), c_Nitpick_Ofrac(_u19975)), 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(_u19975), _u19976))), 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(_u19975), _u19976))))), 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(_u19975), _u19977))), 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(_u19975), _u19977)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.21/12.47 cnf(matrix-7950, plain, ( ( c_Nitpick_Otimes__frac(_u19978, _u19979, _u19980) = hAPP(hAPP(c_Nitpick_Ofrac(_u19978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19978), _u19979)), hAPP(c_Nitpick_Onum(_u19978), _u19980))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u19978), _u19979)), hAPP(c_Nitpick_Odenom(_u19978), _u19980)))) )).
% 12.21/12.47 cnf(matrix-7951, plain, ( ~class_Rings_Oinverse(_u19981) | ~class_Rings_Oring__1(_u19981) | ( c_Nitpick_Oof__frac(_u19982, _u19981, _u19983) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u19981), hAPP(c_Int_Oring__1__class_Oof__int(_u19981), hAPP(c_Nitpick_Onum(_u19982), _u19983))), hAPP(c_Int_Oring__1__class_Oof__int(_u19981), hAPP(c_Nitpick_Odenom(_u19982), _u19983)))) )).
% 12.21/12.47 cnf(matrix-7952, plain, ( ( c_Nitpick_Oinverse__frac(_u19984, _u19985) = hAPP(hAPP(c_Nitpick_Ofrac(_u19984), hAPP(c_Nitpick_Odenom(_u19984), _u19985)), hAPP(c_Nitpick_Onum(_u19984), _u19985))) )).
% 12.21/12.47 cnf(matrix-7953, plain, ( ( c_Nitpick_Ouminus__frac(_u19986, _u19987) = c_Nitpick_OAbs__Frac(_u19986, 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(_u19986), _u19987))), hAPP(c_Nitpick_Odenom(_u19986), _u19987)))) )).
% 12.21/12.47 cnf(matrix-7954, plain, ( ~c_Nitpick_Oless__frac(_u19991, _u19993, _u19995) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19991), c_Nitpick_Oplus__frac(_u19991, _u19993, c_Nitpick_Ouminus__frac(_u19991, _u19995)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-7955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19992), c_Nitpick_Oplus__frac(_u19992, _u19994, c_Nitpick_Ouminus__frac(_u19992, _u19996)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u19992, _u19994, _u19996) )).
% 12.21/12.47 cnf(matrix-7956, plain, ( ~c_Nitpick_Oless__eq__frac(_u20000, _u20002, _u20004) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20000), c_Nitpick_Oplus__frac(_u20000, _u20002, c_Nitpick_Ouminus__frac(_u20000, _u20004)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-7957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20001), c_Nitpick_Oplus__frac(_u20001, _u20003, c_Nitpick_Ouminus__frac(_u20001, _u20005)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u20001, _u20003, _u20005) )).
% 12.21/12.47 cnf(matrix-7958, plain, ( ( c_Nitpick_Odenom(_u20006) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20006, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20006))) )).
% 12.21/12.47 cnf(matrix-7959, plain, ( ( c_Nitpick_Onum(_u20007) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20007, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20007))) )).
% 12.21/12.47 cnf(matrix-7960, plain, ( ~class_Rings_Olinordered__semidom(_u20009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20009), c_Groups_Ozero__class_Ozero(_u20009)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20010, _u20009), _u20012), _u20011))) | hBOOL(hAPP(hAPP(c_member(_u20010), skolem513(_u20012, _u20011, _u20010, _u20009)), _u20011)) )).
% 12.21/12.47 cnf(matrix-7961, plain, ( ~class_Rings_Olinordered__semidom(_u20009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20009), c_Groups_Ozero__class_Ozero(_u20009)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20010, _u20009), _u20012), _u20011))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20009), c_Groups_Ozero__class_Ozero(_u20009)), hAPP(_u20012, skolem513(_u20012, _u20011, _u20010, _u20009)))) )).
% 12.21/12.47 cnf(matrix-7962, plain, ( ~c_List_Olist__all(_u20018, _u20020, _u20022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20013), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20018)), _u20022))) | hBOOL(hAPP(_u20020, hAPP(hAPP(c_List_Onth(_u20018), _u20022), _u20013))) )).
% 12.21/12.47 cnf(matrix-7963, plain, ( c_List_Olist__all(_u20019, _u20021, _u20023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem514(_u20023, _u20021, _u20019)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20019)), _u20023))) )).
% 12.21/12.47 cnf(matrix-7964, plain, ( c_List_Olist__all(_u20019, _u20021, _u20023) | ~hBOOL(hAPP(_u20021, hAPP(hAPP(c_List_Onth(_u20019), _u20023), skolem514(_u20023, _u20021, _u20019)))) )).
% 12.21/12.47 cnf(matrix-7965, plain, ( c_List_Olist__all(_u20024, _u20025, c_List_Olist_ONil(_u20024)) )).
% 12.21/12.47 cnf(matrix-7966, plain, ( ~c_List_Olist__all(_u20031, _u20033, _u20035) | ~hBOOL(hAPP(hAPP(c_member(_u20031), _u20026), hAPP(c_List_Oset(_u20031), _u20035))) | hBOOL(hAPP(_u20033, _u20026)) )).
% 12.21/12.47 cnf(matrix-7967, plain, ( c_List_Olist__all(_u20032, _u20034, _u20036) | hBOOL(hAPP(hAPP(c_member(_u20032), skolem515(_u20036, _u20034, _u20032)), hAPP(c_List_Oset(_u20032), _u20036))) )).
% 12.21/12.47 cnf(matrix-7968, plain, ( c_List_Olist__all(_u20032, _u20034, _u20036) | ~hBOOL(hAPP(_u20034, skolem515(_u20036, _u20034, _u20032))) )).
% 12.21/12.47 cnf(matrix-7969, plain, ( ~c_List_Olist__all(_u20041, _u20043, hAPP(hAPP(c_List_Oappend(_u20041), _u20045), _u20047)) | c_List_Olist__all(_u20041, _u20043, _u20045) )).
% 12.21/12.47 cnf(matrix-7970, plain, ( ~c_List_Olist__all(_u20041, _u20043, hAPP(hAPP(c_List_Oappend(_u20041), _u20045), _u20047)) | c_List_Olist__all(_u20041, _u20043, _u20047) )).
% 12.21/12.47 cnf(matrix-7971, plain, ( ~c_List_Olist__all(_u20042, _u20044, _u20046) | ~c_List_Olist__all(_u20042, _u20044, _u20048) | c_List_Olist__all(_u20042, _u20044, hAPP(hAPP(c_List_Oappend(_u20042), _u20046), _u20048)) )).
% 12.21/12.47 cnf(matrix-7972, plain, ( ~c_List_Olist__all(_u20052, _u20054, hAPP(c_List_Orev(_u20052), _u20056)) | c_List_Olist__all(_u20052, _u20054, _u20056) )).
% 12.21/12.47 cnf(matrix-7973, plain, ( ~c_List_Olist__all(_u20053, _u20055, _u20057) | c_List_Olist__all(_u20053, _u20055, hAPP(c_List_Orev(_u20053), _u20057)) )).
% 12.21/12.47 cnf(matrix-7974, plain, ( c_List_Olist__all(_u20063, _u20067, _u20065) | hBOOL(hAPP(hAPP(c_member(_u20063), skolem516(_u20067, _u20065, _u20063)), hAPP(c_List_Oset(_u20063), _u20065))) )).
% 12.21/12.47 cnf(matrix-7975, plain, ( c_List_Olist__all(_u20063, _u20067, _u20065) | ~hBOOL(hAPP(_u20067, skolem516(_u20067, _u20065, _u20063))) )).
% 12.21/12.47 cnf(matrix-7976, plain, ( ~c_List_Olist__all(_u20064, _u20068, _u20066) | ~hBOOL(hAPP(hAPP(c_member(_u20064), _u20059), hAPP(c_List_Oset(_u20064), _u20066))) | hBOOL(hAPP(_u20068, _u20059)) )).
% 12.21/12.47 cnf(matrix-7977, plain, ( ~c_List_Olist__all(_u20073, _u20075, hAPP(hAPP(c_List_Olist_OCons(_u20073), _u20077), _u20079)) | hBOOL(hAPP(_u20075, _u20077)) )).
% 12.21/12.47 cnf(matrix-7978, plain, ( ~c_List_Olist__all(_u20073, _u20075, hAPP(hAPP(c_List_Olist_OCons(_u20073), _u20077), _u20079)) | c_List_Olist__all(_u20073, _u20075, _u20079) )).
% 12.21/12.47 cnf(matrix-7979, plain, ( ~hBOOL(hAPP(_u20076, _u20078)) | ~c_List_Olist__all(_u20074, _u20076, _u20080) | c_List_Olist__all(_u20074, _u20076, hAPP(hAPP(c_List_Olist_OCons(_u20074), _u20078), _u20080)) )).
% 12.21/12.47 cnf(matrix-7980, plain, ( ~c_List_Olist__all(_u20086, _u20088, _u20090) | ~hBOOL(hAPP(hAPP(c_member(_u20086), _u20081), hAPP(c_List_Oset(_u20086), _u20090))) | hBOOL(hAPP(_u20088, _u20081)) )).
% 12.21/12.47 cnf(matrix-7981, plain, ( c_List_Olist__all(_u20087, _u20089, _u20091) | hBOOL(hAPP(hAPP(c_member(_u20087), skolem517(_u20091, _u20089, _u20087)), hAPP(c_List_Oset(_u20087), _u20091))) )).
% 12.21/12.47 cnf(matrix-7982, plain, ( c_List_Olist__all(_u20087, _u20089, _u20091) | ~hBOOL(hAPP(_u20089, skolem517(_u20091, _u20089, _u20087))) )).
% 12.21/12.47 cnf(matrix-7983, plain, ( ~c_List_Olist__ex1(_u20096, _u20098, hAPP(hAPP(c_List_Olist_OCons(_u20096), _u20100), _u20102)) | ~hBOOL(hAPP(_u20098, _u20100)) | c_List_Olist__all(_u20096, hAPP(hAPP(c_COMBS(_u20096, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20096), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20096), c_fNot), _u20098))), hAPP(c_fequal, _u20100)), _u20102) )).
% 12.21/12.47 cnf(matrix-7984, plain, ( ~c_List_Olist__ex1(_u20096, _u20098, hAPP(hAPP(c_List_Olist_OCons(_u20096), _u20100), _u20102)) | hBOOL(hAPP(_u20098, _u20100)) | c_List_Olist__ex1(_u20096, _u20098, _u20102) )).
% 12.21/12.47 cnf(matrix-7985, plain, ( c_List_Olist__ex1(_u20097, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20101), _u20103)) | hBOOL(hAPP(_u20099, _u20101)) | ~c_List_Olist__ex1(_u20097, _u20099, _u20103) )).
% 12.21/12.47 cnf(matrix-7986, plain, ( c_List_Olist__ex1(_u20097, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20101), _u20103)) | ~c_List_Olist__all(_u20097, hAPP(hAPP(c_COMBS(_u20097, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20097), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20097), c_fNot), _u20099))), hAPP(c_fequal, _u20101)), _u20103) | ~hBOOL(hAPP(_u20099, _u20101)) )).
% 12.21/12.47 cnf(matrix-7987, plain, ( c_List_Olist__ex1(_u20097, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20101), _u20103)) | ~c_List_Olist__all(_u20097, hAPP(hAPP(c_COMBS(_u20097, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20097), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20097), c_fNot), _u20099))), hAPP(c_fequal, _u20101)), _u20103) | ~c_List_Olist__ex1(_u20097, _u20099, _u20103) )).
% 12.21/12.47 cnf(matrix-7988, plain, ( ( c_Product__Type_Ointernal__split(_u20104, _u20105, _u20106) = c_Product__Type_Oprod_Oprod__case(_u20104, _u20105, _u20106)) )).
% 12.21/12.47 cnf(matrix-7989, plain, ( ~class_Enum_Oenum(_u20111) | c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | ~hBOOL(hAPP(_u20112, _u20108)) | hBOOL(hAPP(_u20112, skolem518(_u20112, _u20111, _u20108))) )).
% 12.21/12.47 cnf(matrix-7990, plain, ( ~class_Enum_Oenum(_u20111) | c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | ~hBOOL(hAPP(_u20112, _u20108)) | ( skolem518(_u20112, _u20111, _u20108) != _u20108) )).
% 12.21/12.47 cnf(matrix-7991, plain, ( ~class_Enum_Oenum(_u20111) | ~c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | hBOOL(hAPP(_u20112, skolem519(_u20112, _u20111))) )).
% 12.21/12.47 cnf(matrix-7992, plain, ( ~class_Enum_Oenum(_u20111) | ~c_List_Olist__ex1(_u20111, _u20112, c_Enum_Oenum__class_Oenum(_u20111)) | ~hBOOL(hAPP(_u20112, _u20109)) | ( _u20109 = skolem519(_u20112, _u20111)) )).
% 12.21/12.47 cnf(matrix-7993, plain, ( ~c_List_Olist__ex1(_u20113, _u20114, c_List_Olist_ONil(_u20113)) )).
% 12.21/12.47 cnf(matrix-7994, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u20115, _u20116, _u20117), _u20118), hAPP(hAPP(c_Product__Type_OPair(_u20115, _u20116), _u20119), _u20120)) = hAPP(hAPP(_u20118, _u20119), _u20120)) )).
% 12.21/12.47 cnf(matrix-7995, plain, ( ~c_List_Olist__ex1(_u20128, _u20130, _u20132) | hBOOL(hAPP(hAPP(c_member(_u20128), skolem520(_u20132, _u20130, _u20128)), hAPP(c_List_Oset(_u20128), _u20132))) )).
% 12.21/12.47 cnf(matrix-7996, plain, ( ~c_List_Olist__ex1(_u20128, _u20130, _u20132) | hBOOL(hAPP(_u20130, skolem520(_u20132, _u20130, _u20128))) )).
% 12.21/12.47 cnf(matrix-7997, plain, ( ~c_List_Olist__ex1(_u20128, _u20130, _u20132) | ~hBOOL(hAPP(hAPP(c_member(_u20128), _u20121), hAPP(c_List_Oset(_u20128), _u20132))) | ~hBOOL(hAPP(_u20130, _u20121)) | ( _u20121 = skolem520(_u20132, _u20130, _u20128)) )).
% 12.21/12.47 cnf(matrix-7998, plain, ( c_List_Olist__ex1(_u20129, _u20131, _u20133) | ~hBOOL(hAPP(hAPP(c_member(_u20129), _u20124), hAPP(c_List_Oset(_u20129), _u20133))) | ~hBOOL(hAPP(_u20131, _u20124)) | hBOOL(hAPP(hAPP(c_member(_u20129), skolem521(_u20133, _u20131, _u20129, _u20124)), hAPP(c_List_Oset(_u20129), _u20133))) )).
% 12.21/12.47 cnf(matrix-7999, plain, ( c_List_Olist__ex1(_u20129, _u20131, _u20133) | ~hBOOL(hAPP(hAPP(c_member(_u20129), _u20124), hAPP(c_List_Oset(_u20129), _u20133))) | ~hBOOL(hAPP(_u20131, _u20124)) | hBOOL(hAPP(_u20131, skolem521(_u20133, _u20131, _u20129, _u20124))) )).
% 12.21/12.47 cnf(matrix-8000, plain, ( c_List_Olist__ex1(_u20129, _u20131, _u20133) | ~hBOOL(hAPP(hAPP(c_member(_u20129), _u20124), hAPP(c_List_Oset(_u20129), _u20133))) | ~hBOOL(hAPP(_u20131, _u20124)) | ( skolem521(_u20133, _u20131, _u20129, _u20124) != _u20124) )).
% 12.21/12.47 cnf(matrix-8001, plain, ( ~class_Rings_Olinordered__semidom(_u20135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20135), c_Groups_Ozero__class_Ozero(_u20135)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20136, _u20135), _u20138), _u20137))) | hBOOL(hAPP(hAPP(c_member(_u20136), skolem522(_u20138, _u20137, _u20136, _u20135)), _u20137)) )).
% 12.21/12.47 cnf(matrix-8002, plain, ( ~class_Rings_Olinordered__semidom(_u20135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20135), c_Groups_Ozero__class_Ozero(_u20135)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20136, _u20135), _u20138), _u20137))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20135), c_Groups_Ozero__class_Ozero(_u20135)), hAPP(_u20138, skolem522(_u20138, _u20137, _u20136, _u20135)))) )).
% 12.21/12.47 cnf(matrix-8003, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8004, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem523(_u20141, _u20140)), hAPP(_u20140, skolem523(_u20141, _u20140)))) | 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)), _u20140)), _u20141)))) )).
% 12.21/12.47 cnf(matrix-8006, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), skolem525(_u20146, _u20145, _u20144))) )).
% 12.21/12.47 cnf(matrix-8007, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | ~hBOOL(hAPP(hAPP(c_member(_u20144), skolem524(_u20146, _u20145, _u20144)), skolem525(_u20146, _u20145, _u20144))) )).
% 12.21/12.47 cnf(matrix-8008, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | hBOOL(hAPP(_u20146, skolem525(_u20146, _u20145, _u20144))) )).
% 12.21/12.47 cnf(matrix-8009, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20144), _u20145)) | ~hBOOL(hAPP(_u20146, c_Orderings_Obot__class_Obot(tc_fun(_u20144, tc_HOL_Obool)))) | hBOOL(hAPP(_u20146, _u20145)) | ~hBOOL(hAPP(_u20146, hAPP(hAPP(c_Set_Oinsert(_u20144), skolem524(_u20146, _u20145, _u20144)), skolem525(_u20146, _u20145, _u20144)))) )).
% 12.21/12.47 cnf(matrix-8010, plain, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 12.21/12.47 cnf(matrix-8011, plain, ( ~class_HOL_Oequal(_u20149) | ~class_Enum_Oenum(_u20150) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20150, _u20149)), _u20151), _u20152)) | ~hBOOL(hAPP(hAPP(c_member(_u20150), _u20147), hAPP(c_List_Oset(_u20150), c_Enum_Oenum__class_Oenum(_u20150)))) | ( hAPP(_u20151, _u20147) = hAPP(_u20152, _u20147)) )).
% 12.21/12.47 cnf(matrix-8012, plain, ( ~class_HOL_Oequal(_u20149) | ~class_Enum_Oenum(_u20150) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20150, _u20149)), _u20151), _u20152)) | hBOOL(hAPP(hAPP(c_member(_u20150), skolem526(_u20152, _u20151, _u20150, _u20149)), hAPP(c_List_Oset(_u20150), c_Enum_Oenum__class_Oenum(_u20150)))) )).
% 12.21/12.47 cnf(matrix-8013, plain, ( ~class_HOL_Oequal(_u20149) | ~class_Enum_Oenum(_u20150) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20150, _u20149)), _u20151), _u20152)) | ( hAPP(_u20151, skolem526(_u20152, _u20151, _u20150, _u20149)) != hAPP(_u20152, skolem526(_u20152, _u20151, _u20150, _u20149))) )).
% 12.21/12.47 cnf(matrix-8014, plain, ( ~c_FunDef_Ois__measure(_u20153, _u20154) | c_FunDef_Ois__measure(tc_prod(_u20155, _u20153), hAPP(hAPP(c_COMBB(_u20153, tc_Nat_Onat, tc_prod(_u20155, _u20153)), _u20154), c_Product__Type_Osnd(_u20155, _u20153))) )).
% 12.21/12.47 cnf(matrix-8015, plain, ( ~c_FunDef_Ois__measure(_u20156, _u20157) | c_FunDef_Ois__measure(tc_prod(_u20156, _u20158), hAPP(hAPP(c_COMBB(_u20156, tc_Nat_Onat, tc_prod(_u20156, _u20158)), _u20157), c_Product__Type_Ofst(_u20156, _u20158))) )).
% 12.21/12.47 cnf(matrix-8016, plain, ( ~class_Nat_Osize(_u20159) | c_FunDef_Ois__measure(_u20159, c_Nat_Osize__class_Osize(_u20159)) )).
% 12.21/12.47 cnf(matrix-8017, plain, ( ~class_HOL_Oequal(_u20160) | ( c_fequal = c_HOL_Oequal__class_Oequal(_u20160)) )).
% 12.21/12.47 cnf(matrix-8018, plain, ( ~class_HOL_Oequal(_u20161) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20161), _u20162), _u20163)) | ( _u20162 = _u20163) )).
% 12.21/12.47 cnf(matrix-8019, plain, ( ~class_HOL_Oequal(_u20161) | ( _u20162 != _u20163) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20161), _u20162), _u20163)) )).
% 12.21/12.47 cnf(matrix-8020, plain, ( ~class_HOL_Oequal(_u20164) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20164), _u20165), _u20165)) )).
% 12.21/12.47 cnf(matrix-8021, plain, ( ~class_HOL_Oequal(_u20166) | ( c_HOL_Oequal__class_Oequal(_u20166) = c_fequal) )).
% 12.21/12.47 cnf(matrix-8022, plain, ( c_FunDef_Ois__measure(_u20167, _u20168) )).
% 12.21/12.47 cnf(matrix-8023, plain, ( c_FunDef_Ois__measure(_u20169, _u20170) )).
% 12.21/12.47 cnf(matrix-8024, plain, ( c_FunDef_Ois__measure(_u20171, _u20172) )).
% 12.21/12.47 cnf(matrix-8025, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.21/12.47 cnf(matrix-8026, plain, ( ( _u20178 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u20180, _u20182, _u20184, _u20186), _u20178) = c_Lazy__Sequence_Oempty(_u20182)) )).
% 12.21/12.47 cnf(matrix-8027, plain, ( ( _u20179 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u20181, _u20183, _u20185, _u20187), _u20179) = hAPP(c_Lazy__Sequence_Obind(_u20181, _u20183, hAPP(_u20185, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20179), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u20181, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20183)), _u20187), _u20179))) )).
% 12.21/12.47 cnf(matrix-8028, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20190), _u20192)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20190), _u20192) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-8029, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20191), _u20193) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20191), _u20193)) )).
% 12.21/12.47 cnf(matrix-8030, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.21/12.47 cnf(matrix-8031, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20196)), c_Int_OBit1(_u20198))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20196), _u20198)) )).
% 12.21/12.47 cnf(matrix-8032, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20197), _u20199)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20197)), c_Int_OBit1(_u20199))) )).
% 12.21/12.47 cnf(matrix-8033, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20202)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20204))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20202), _u20204)) )).
% 12.21/12.47 cnf(matrix-8034, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20203), _u20205)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20203)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20205))) )).
% 12.21/12.47 cnf(matrix-8035, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20208)), c_Int_OBit0(_u20210))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20208), _u20210)) )).
% 12.21/12.47 cnf(matrix-8036, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20209), _u20211)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20209)), c_Int_OBit0(_u20211))) )).
% 12.21/12.47 cnf(matrix-8037, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.21/12.47 cnf(matrix-8038, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20212)), c_Int_OBit0(_u20213))) )).
% 12.21/12.47 cnf(matrix-8039, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20214)), c_Int_OBit1(_u20215))) )).
% 12.21/12.47 cnf(matrix-8040, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20217)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20217), c_Int_OPls)) )).
% 12.21/12.47 cnf(matrix-8041, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20218), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20218)), c_Int_OPls)) )).
% 12.21/12.47 cnf(matrix-8042, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20220))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20220)) )).
% 12.21/12.47 cnf(matrix-8043, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20221)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20221))) )).
% 12.21/12.47 cnf(matrix-8044, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20222)), c_Int_OPls)) )).
% 12.21/12.47 cnf(matrix-8045, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u20223))) )).
% 12.21/12.47 cnf(matrix-8046, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20224)), c_Int_OMin)) )).
% 12.21/12.47 cnf(matrix-8047, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u20225))) )).
% 12.21/12.47 cnf(matrix-8048, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20227)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20227), c_Int_OMin)) )).
% 12.21/12.47 cnf(matrix-8049, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20228), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20228)), c_Int_OMin)) )).
% 12.21/12.47 cnf(matrix-8050, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20230))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20230)) )).
% 12.21/12.47 cnf(matrix-8051, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20231)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20231))) )).
% 12.21/12.47 cnf(matrix-8052, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.21/12.47 cnf(matrix-8053, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.21/12.47 cnf(matrix-8054, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8055, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8056, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u20232, _u20233, _u20234, _u20235, _u20236, _u20237, _u20238) = c_New__DSequence_Opos__decr__bind(_u20232, _u20233, hAPP(hAPP(hAPP(_u20234, _u20236), _u20237), _u20238), hAPP(hAPP(c_COMBC(_u20232, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20233))), hAPP(hAPP(c_COMBC(_u20232, 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(_u20233)))), hAPP(hAPP(c_COMBC(_u20232, 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(_u20233))))), _u20235), _u20236)), _u20237)), _u20238))) )).
% 12.21/12.47 cnf(matrix-8057, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u20239), _u20240) = c_Lazy__Sequence_Oempty(_u20239)) )).
% 12.21/12.47 cnf(matrix-8058, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20241), _u20241)) )).
% 12.21/12.47 cnf(matrix-8059, plain, ( ( c_New__Random__Sequence_Opos__empty(_u20242, _u20243, _u20244, _u20245) = c_New__DSequence_Opos__empty(_u20242)) )).
% 12.21/12.47 cnf(matrix-8060, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u20246, _u20247, _u20248, _u20249), _u20250) = hAPP(c_Lazy__Sequence_Obind(_u20246, _u20247, hAPP(_u20248, _u20250)), hAPP(hAPP(c_COMBC(_u20246, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20247)), _u20249), _u20250))) )).
% 12.21/12.47 cnf(matrix-8061, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u20251, _u20252, _u20253, _u20254), _u20255), _u20256), _u20257) = c_New__DSequence_Opos__bind(_u20251, _u20252, hAPP(hAPP(hAPP(_u20253, _u20255), _u20256), _u20257), hAPP(hAPP(c_COMBC(_u20251, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u20252))), hAPP(hAPP(c_COMBC(_u20251, 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(_u20252)))), hAPP(hAPP(c_COMBC(_u20251, 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(_u20252))))), _u20254), _u20255)), _u20256)), _u20257))) )).
% 12.21/12.47 cnf(matrix-8062, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20258)), _u20259) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20258, tc_Lazy__Sequence_Olazy__sequence(_u20258)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20258, tc_Lazy__Sequence_Olazy__sequence(_u20258), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20258), tc_Nat_Onat), _u20258), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20258), 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(_u20258)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20258)))), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), hAPP(c_Lazy__Sequence_Oyield(_u20258), _u20259))) )).
% 12.21/12.47 cnf(matrix-8063, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20260, _u20261), _u20262) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20260, tc_Lazy__Sequence_Olazy__sequence(_u20260)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20260, tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20260, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), _u20260), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20260), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20260)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20260, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20260), tc_Nat_Onat)), _u20260), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20260))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20260), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20261))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20260, _u20261))))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20260), _u20262))) )).
% 12.21/12.47 cnf(matrix-8064, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20263, _u20264, _u20265, _u20266, _u20267) = hAPP(c_Option_Ooption_Ooption__case(_u20263, tc_prod(_u20264, tc_Lazy__Sequence_Olazy__sequence(_u20264)), _u20265, hAPP(c_Product__Type_Oprod_Oprod__case(_u20264, tc_Lazy__Sequence_Olazy__sequence(_u20264), _u20263), _u20266)), hAPP(c_Lazy__Sequence_Oyield(_u20264), _u20267))) )).
% 12.21/12.47 cnf(matrix-8065, plain, ( ( c_Lazy__Sequence_Oyieldn(_u20268) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20268), _u20268, c_Lazy__Sequence_Oyield(_u20268))) )).
% 12.21/12.47 cnf(matrix-8066, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20269, _u20270), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20269, _u20271, _u20272)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20270, _u20271)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20269, _u20270), _u20272))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-8067, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20273, _u20274, _u20275, _u20276, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20274, _u20277, _u20278)) = hAPP(hAPP(_u20276, _u20277), _u20278)) )).
% 12.21/12.47 cnf(matrix-8068, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20286, _u20288) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20290, _u20292)) | ( _u20286 = _u20290) )).
% 12.21/12.47 cnf(matrix-8069, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20286, _u20288) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20284, _u20290, _u20292)) | ( _u20288 = _u20292) )).
% 12.21/12.47 cnf(matrix-8070, plain, ( ( _u20287 != _u20291) | ( _u20289 != _u20293) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20285, _u20287, _u20289) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20285, _u20291, _u20293)) )).
% 12.21/12.47 cnf(matrix-8071, plain, ( ( hAPP(c_Lazy__Sequence_Oyield(_u20294), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20294, _u20295, _u20296)) = hAPP(c_Option_Ooption_OSome(tc_prod(_u20294, tc_Lazy__Sequence_Olazy__sequence(_u20294))), hAPP(hAPP(c_Product__Type_OPair(_u20294, tc_Lazy__Sequence_Olazy__sequence(_u20294)), _u20295), _u20296))) )).
% 12.21/12.47 cnf(matrix-8072, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20297)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20297, _u20298, _u20299)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20297)), _u20299)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-8073, plain, ( ( c_New__Random__Sequence_Opos__map(_u20300, _u20301, _u20302, _u20303) = c_New__Random__Sequence_Opos__bind(_u20300, _u20301, _u20303, hAPP(c_Fun_Ocomp(_u20301, 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(_u20301))))), _u20300, c_New__Random__Sequence_Opos__single(_u20301)), _u20302))) )).
% 12.21/12.47 cnf(matrix-8074, plain, ( ( _u20309 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20311, _u20313, _u20315, _u20317), _u20309) = c_Lazy__Sequence_Ohit__bound(_u20313)) )).
% 12.21/12.47 cnf(matrix-8075, plain, ( ( _u20310 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20312, _u20314, _u20316, _u20318), _u20310) = c_Lazy__Sequence_Ohb__bind(_u20312, _u20314, hAPP(_u20316, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20310), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u20312, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20314))), _u20318), _u20310))) )).
% 12.21/12.47 cnf(matrix-8076, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u20319, _u20320, _u20321, _u20322, _u20323, _u20324, _u20325) = c_New__DSequence_Oneg__decr__bind(_u20319, _u20320, hAPP(hAPP(hAPP(_u20321, _u20323), _u20324), _u20325), hAPP(hAPP(c_COMBC(_u20319, 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(_u20320)))), hAPP(hAPP(c_COMBC(_u20319, 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(_u20320))))), hAPP(hAPP(c_COMBC(_u20319, 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(_u20320)))))), _u20322), _u20323)), _u20324)), _u20325))) )).
% 12.21/12.47 cnf(matrix-8077, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u20326), _u20327), _u20328), _u20329), _u20330) = c_New__DSequence_Opos__single(_u20326, _u20327)) )).
% 12.21/12.47 cnf(matrix-8078, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u20331, _u20332), _u20333) = hAPP(c_Lazy__Sequence_Osingle(_u20331), _u20332)) )).
% 12.21/12.47 cnf(matrix-8079, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u20334, _u20335, _u20336, _u20337), _u20338) = c_Lazy__Sequence_Ohb__bind(_u20334, _u20335, hAPP(_u20336, _u20338), hAPP(hAPP(c_COMBC(_u20334, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20335))), _u20337), _u20338))) )).
% 12.21/12.47 cnf(matrix-8080, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u20339, _u20340, _u20341, _u20342), _u20343), _u20344), _u20345) = c_New__DSequence_Oneg__bind(_u20339, _u20340, hAPP(hAPP(hAPP(_u20341, _u20343), _u20344), _u20345), hAPP(hAPP(c_COMBC(_u20339, 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(_u20340)))), hAPP(hAPP(c_COMBC(_u20339, 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(_u20340))))), hAPP(hAPP(c_COMBC(_u20339, 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(_u20340)))))), _u20342), _u20343)), _u20344)), _u20345))) )).
% 12.21/12.47 cnf(matrix-8081, plain, ( ( c_Lazy__Sequence_Oproduct(_u20346, _u20347, _u20348, _u20349) = hAPP(c_Lazy__Sequence_Obind(_u20346, tc_prod(_u20346, _u20347), _u20348), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347)), _u20346), c_Lazy__Sequence_Obind(_u20347, tc_prod(_u20346, _u20347), _u20349)), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_prod(_u20346, _u20347)), tc_fun(_u20347, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347))), _u20346), hAPP(c_COMBB(tc_prod(_u20346, _u20347), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u20346, _u20347)), _u20347), c_Lazy__Sequence_Osingle(tc_prod(_u20346, _u20347)))), c_Product__Type_OPair(_u20346, _u20347))))) )).
% 12.21/12.47 cnf(matrix-8082, plain, ( ( c_New__Random__Sequence_Oneg__map(_u20350, _u20351, _u20352, _u20353) = c_New__Random__Sequence_Oneg__bind(_u20350, _u20351, _u20353, hAPP(c_Fun_Ocomp(_u20351, 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(_u20351)))))), _u20350, c_New__Random__Sequence_Oneg__single(_u20351)), _u20352))) )).
% 12.21/12.47 cnf(matrix-8083, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20354) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20354), _u20355) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u20354), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u20354)), c_List_Olist_ONil(_u20354)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u20355)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u20354, tc_List_Olist(_u20354)), tc_List_Olist(_u20354), c_Lazy__Sequence_Oproduct(_u20354, tc_List_Olist(_u20354), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20354, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20355), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20354), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20355), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u20354, tc_List_Olist(_u20354), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20354), tc_List_Olist(_u20354)), tc_fun(tc_List_Olist(_u20354), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354))), _u20354), hAPP(c_COMBB(tc_List_Olist(_u20354), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20354)), tc_List_Olist(_u20354)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u20354)))), c_List_Olist_OCons(_u20354))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u20354))))) )).
% 12.21/12.47 cnf(matrix-8084, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20356) | ~class_Lazy__Sequence_Osmall__lazy(_u20357) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u20356, _u20357), _u20358) = c_Lazy__Sequence_Oproduct(_u20356, _u20357, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20356, _u20358), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20357, _u20358))) )).
% 12.21/12.47 cnf(matrix-8085, plain, ( ( c_Lazy__Sequence_Oappend(_u20359, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20359, _u20360, _u20361), _u20362) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20359, _u20360, c_Lazy__Sequence_Oappend(_u20359, _u20361, _u20362))) )).
% 12.21/12.47 cnf(matrix-8086, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u20363), _u20364), _u20365), _u20366), _u20367) = c_New__DSequence_Oneg__single(_u20363, _u20364)) )).
% 12.21/12.47 cnf(matrix-8087, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u20368, _u20369, _u20370), _u20371) = c_Lazy__Sequence_Oappend(_u20368, hAPP(_u20369, _u20371), hAPP(_u20370, _u20371))) )).
% 12.21/12.47 cnf(matrix-8088, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u20372, _u20373), _u20374) = c_Lazy__Sequence_Ohb__single(_u20372, _u20373)) )).
% 12.21/12.47 cnf(matrix-8089, plain, ( ( c_New__Random__Sequence_Opos__union(_u20375, _u20376, _u20377, _u20378, _u20379, _u20380) = c_New__DSequence_Opos__union(_u20375, hAPP(hAPP(hAPP(_u20376, _u20378), _u20379), _u20380), hAPP(hAPP(hAPP(_u20377, _u20378), _u20379), _u20380))) )).
% 12.21/12.47 cnf(matrix-8090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20383), _u20385)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20383, _u20385) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-8091, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20384), _u20386)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20384, _u20386) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20386), c_Lazy__Sequence_Osmall__lazy_H(_u20384, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20386), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.47 cnf(matrix-8092, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20387), _u20388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20387), _u20388)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20387, _u20388) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.21/12.47 cnf(matrix-8093, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20387), _u20388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20387), _u20388)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20387, _u20388) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20388), c_Lazy__Sequence_Osmall__lazy_H(_u20387, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20388), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.21/12.47 cnf(matrix-8094, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u20389) = c_Lazy__Sequence_Osmall__lazy_H(_u20389, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u20389))) )).
% 12.21/12.47 cnf(matrix-8095, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20392), _u20393))) | hBOOL(hAPP(hAPP(_u20394, _u20392), _u20393)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem527(_u20394, _u20393, _u20392)), skolem528(_u20394, _u20393, _u20392)))) )).
% 12.21/12.47 cnf(matrix-8096, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20392), _u20393))) | hBOOL(hAPP(hAPP(_u20394, _u20392), _u20393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem527(_u20394, _u20393, _u20392)), skolem528(_u20394, _u20393, _u20392))) | hBOOL(hAPP(hAPP(_u20394, skolem527(_u20394, _u20393, _u20392)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem528(_u20394, _u20393, _u20392)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.21/12.47 cnf(matrix-8097, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u20392), _u20393))) | hBOOL(hAPP(hAPP(_u20394, _u20392), _u20393)) | ~hBOOL(hAPP(hAPP(_u20394, skolem527(_u20394, _u20393, _u20392)), skolem528(_u20394, _u20393, _u20392))) )).
% 12.21/12.47 cnf(matrix-8098, plain, ( ( c_Lazy__Sequence_Ohb__flat(_u20395, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395))), _u20396, _u20397)) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(_u20395), hAPP(c_Option_Ooption_Ooption__case(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395)), tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395)), c_Lazy__Sequence_Ohit__bound(_u20395), c_COMBI(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20395)))), _u20396), c_Lazy__Sequence_Ohb__flat(_u20395, _u20397))) )).
% 12.21/12.47 cnf(matrix-8099, plain, ( ( hAPP(c_New__DSequence_Oneg__union(_u20398, _u20399, _u20400), _u20401) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(_u20398), hAPP(_u20399, _u20401), hAPP(_u20400, _u20401))) )).
% 12.21/12.47 cnf(matrix-8100, plain, ( ( c_Lazy__Sequence_Ohb__bind(_u20402, _u20403, _u20404, _u20405) = c_Lazy__Sequence_Ohb__flat(_u20403, c_Lazy__Sequence_Ohb__map(_u20402, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20403)), _u20405, _u20404))) )).
% 12.21/12.47 cnf(matrix-8101, plain, ( ( c_Lazy__Sequence_Ohb__map(_u20406, _u20407, _u20408, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(_u20406), _u20409, _u20410)) = c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(_u20407), hAPP(hAPP(c_Option_Omap(_u20406, _u20407), _u20408), _u20409), c_Lazy__Sequence_Ohb__map(_u20406, _u20407, _u20408, _u20410))) )).
% 12.21/12.47 cnf(matrix-8102, plain, ( ( c_New__Random__Sequence_Oneg__union(_u20411, _u20412, _u20413, _u20414, _u20415, _u20416) = c_New__DSequence_Oneg__union(_u20411, hAPP(hAPP(hAPP(_u20412, _u20414), _u20415), _u20416), hAPP(hAPP(hAPP(_u20413, _u20414), _u20415), _u20416))) )).
% 12.21/12.47 cnf(matrix-8103, plain, ( ( c_New__DSequence_Oneg__map(_u20417, _u20418, _u20419, _u20420, _u20421) = c_Lazy__Sequence_Ohb__map(_u20417, _u20418, _u20419, hAPP(_u20420, _u20421))) )).
% 12.21/12.47 cnf(matrix-8104, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20422)), c_List_Osplice(_u20422, _u20423, _u20424)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20422)), _u20423)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20422)), _u20424))) )).
% 12.21/12.47 cnf(matrix-8105, plain, ( ~c_Wellfounded_Oacyclic(_u20427, hAPP(c_Set_OCollect(tc_prod(_u20427, _u20427)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20427, _u20427, tc_HOL_Obool), c_Predicate_Oconversep(_u20427, _u20427, _u20429)))) | c_Wellfounded_Oacyclic(_u20427, hAPP(c_Set_OCollect(tc_prod(_u20427, _u20427)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20427, _u20427, tc_HOL_Obool), _u20429))) )).
% 12.21/12.47 cnf(matrix-8106, plain, ( ~c_Wellfounded_Oacyclic(_u20428, hAPP(c_Set_OCollect(tc_prod(_u20428, _u20428)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20428, _u20428, tc_HOL_Obool), _u20430))) | c_Wellfounded_Oacyclic(_u20428, hAPP(c_Set_OCollect(tc_prod(_u20428, _u20428)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20428, _u20428, tc_HOL_Obool), c_Predicate_Oconversep(_u20428, _u20428, _u20430)))) )).
% 12.21/12.47 cnf(matrix-8107, plain, ( ( c_List_Osplice(_u20431, c_List_Olist_ONil(_u20431), _u20432) = _u20432) )).
% 12.21/12.47 cnf(matrix-8108, plain, ( ( c_List_Osplice(_u20433, _u20434, c_List_Olist_ONil(_u20433)) = _u20434) )).
% 12.21/12.47 cnf(matrix-8109, plain, ( ( c_Predicate_Oconversep(_u20435, _u20436, c_Predicate_Opred__comp(_u20435, _u20437, _u20436, _u20438, _u20439)) = c_Predicate_Opred__comp(_u20436, _u20437, _u20435, c_Predicate_Oconversep(_u20437, _u20436, _u20439), c_Predicate_Oconversep(_u20435, _u20437, _u20438))) )).
% 12.21/12.47 cnf(matrix-8110, plain, ( ( _u20445 != _u20447) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20443, _u20443, hAPP(hAPP(c_COMBB(tc_fun(_u20443, tc_HOL_Obool), tc_fun(_u20443, tc_HOL_Obool), _u20443), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20443), c_fNot)), c_fequal)), _u20445), _u20447)) )).
% 12.21/12.47 cnf(matrix-8111, plain, ( ( _u20446 = _u20448) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20444, _u20444, hAPP(hAPP(c_COMBB(tc_fun(_u20444, tc_HOL_Obool), tc_fun(_u20444, tc_HOL_Obool), _u20444), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20444), c_fNot)), c_fequal)), _u20446), _u20448)) )).
% 12.21/12.47 cnf(matrix-8112, plain, ( hBOOL(hAPP(hAPP(_u20451, _u20453), _u20452)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20449, _u20450, _u20451), _u20452), _u20453)) )).
% 12.21/12.47 cnf(matrix-8113, plain, ( ~hBOOL(hAPP(hAPP(_u20454, _u20455), _u20456)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20457, _u20458, _u20454), _u20456), _u20455)) )).
% 12.21/12.47 cnf(matrix-8114, plain, ( hBOOL(hAPP(hAPP(_u20468, _u20472), _u20470)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20464, _u20466, _u20468), _u20470), _u20472)) )).
% 12.21/12.47 cnf(matrix-8115, plain, ( ~hBOOL(hAPP(hAPP(_u20469, _u20473), _u20471)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20465, _u20467, _u20469), _u20471), _u20473)) )).
% 12.21/12.47 cnf(matrix-8116, plain, ( hBOOL(hAPP(hAPP(_u20483, _u20487), _u20485)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20479, _u20481, _u20483), _u20485), _u20487)) )).
% 12.21/12.47 cnf(matrix-8117, plain, ( ~hBOOL(hAPP(hAPP(_u20484, _u20488), _u20486)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20480, _u20482, _u20484), _u20486), _u20488)) )).
% 12.21/12.47 cnf(matrix-8118, plain, ( ( c_Predicate_Oconversep(_u20489, _u20490, c_Predicate_Oconversep(_u20490, _u20489, _u20491)) = _u20491) )).
% 12.21/12.47 cnf(matrix-8119, plain, ( ( c_Predicate_Oconversep(_u20492, _u20492, c_fequal) = c_fequal) )).
% 12.21/12.47 cnf(matrix-8120, plain, ( ( c_Predicate_Oconversep(_u20493, _u20494, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20493, tc_fun(_u20494, tc_HOL_Obool))), _u20495), _u20496)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20494, tc_fun(_u20493, tc_HOL_Obool))), c_Predicate_Oconversep(_u20493, _u20494, _u20495)), c_Predicate_Oconversep(_u20493, _u20494, _u20496))) )).
% 12.21/12.47 cnf(matrix-8121, plain, ( ( c_Predicate_Oconversep(_u20497, _u20498, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20497, tc_fun(_u20498, tc_HOL_Obool))), _u20499), _u20500)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20498, tc_fun(_u20497, tc_HOL_Obool))), c_Predicate_Oconversep(_u20497, _u20498, _u20499)), c_Predicate_Oconversep(_u20497, _u20498, _u20500))) )).
% 12.21/12.47 cnf(matrix-8122, plain, ( ( c_List_Osplice(_u20501, hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20502), _u20503), hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20504), _u20505)) = hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20502), hAPP(hAPP(c_List_Olist_OCons(_u20501), _u20504), c_List_Osplice(_u20501, _u20503, _u20505)))) )).
% 12.21/12.47 cnf(matrix-8123, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20511, _u20513, hAPP(hAPP(c_COMBC(_u20511, tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_fun(_u20513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20513, tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_fun(_u20513, tc_HOL_Obool)), _u20511), c_COMBC(_u20513, tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20513, tc_prod(_u20511, _u20513)), tc_fun(_u20513, tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool)), _u20511), hAPP(c_COMBB(tc_prod(_u20511, _u20513), tc_fun(tc_fun(tc_prod(_u20511, _u20513), tc_HOL_Obool), tc_HOL_Obool), _u20513), c_member(tc_prod(_u20511, _u20513)))), c_Product__Type_OPair(_u20511, _u20513)))), _u20515)), _u20517), _u20519)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20513, _u20511)), hAPP(hAPP(c_Product__Type_OPair(_u20513, _u20511), _u20517), _u20519)), hAPP(c_Relation_Oconverse(_u20511, _u20513), _u20515))) )).
% 12.21/12.47 cnf(matrix-8124, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20514, _u20512)), hAPP(hAPP(c_Product__Type_OPair(_u20514, _u20512), _u20518), _u20520)), hAPP(c_Relation_Oconverse(_u20512, _u20514), _u20516))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u20512, _u20514, hAPP(hAPP(c_COMBC(_u20512, tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_fun(_u20514, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20514, tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_fun(_u20514, tc_HOL_Obool)), _u20512), c_COMBC(_u20514, tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20514, tc_prod(_u20512, _u20514)), tc_fun(_u20514, tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool)), _u20512), hAPP(c_COMBB(tc_prod(_u20512, _u20514), tc_fun(tc_fun(tc_prod(_u20512, _u20514), tc_HOL_Obool), tc_HOL_Obool), _u20514), c_member(tc_prod(_u20512, _u20514)))), c_Product__Type_OPair(_u20512, _u20514)))), _u20516)), _u20518), _u20520)) )).
% 12.21/12.47 cnf(matrix-8125, plain, ( ( c_List_Osplice(_u20521, hAPP(hAPP(c_List_Olist_OCons(_u20521), _u20522), _u20523), c_List_Olist_ONil(_u20521)) = hAPP(hAPP(c_List_Olist_OCons(_u20521), _u20522), _u20523)) )).
% 12.21/12.47 cnf(matrix-8126, plain, ( ( _u20524 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u20525), c_List_Oreplicate(_u20525, _u20524, _u20526)) = c_List_Oreplicate(_u20525, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20524), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20526)) )).
% 12.21/12.47 cnf(matrix-8127, plain, ( ( c_Predicate_Opred__comp(_u20527, _u20527, _u20527, c_fequal, c_Predicate_Opred__comp(_u20527, _u20527, _u20527, _u20528, c_fequal)) = _u20528) )).
% 12.21/12.47 cnf(matrix-8128, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20529), c_List_Oreplicate(_u20529, _u20530, _u20531)), hAPP(hAPP(c_List_Olist_OCons(_u20529), _u20531), c_List_Olist_ONil(_u20529))) = hAPP(hAPP(c_List_Olist_OCons(_u20529), _u20531), c_List_Oreplicate(_u20529, _u20530, _u20531))) )).
% 12.21/12.47 cnf(matrix-8129, plain, ( ( hAPP(hAPP(c_List_Omap(_u20532, _u20533), hAPP(c_COMBK(_u20533, _u20532), _u20534)), _u20535) = c_List_Oreplicate(_u20533, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20532)), _u20535), _u20534)) )).
% 12.21/12.47 cnf(matrix-8130, plain, ( ( c_List_Oreplicate(_u20536, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20536)), hAPP(c_List_Ofilter(_u20536, hAPP(c_fequal, _u20537)), _u20538)), _u20537) = hAPP(c_List_Ofilter(_u20536, hAPP(c_fequal, _u20537)), _u20538)) )).
% 12.21/12.47 cnf(matrix-8131, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20539)), c_List_Oreplicate(_u20539, _u20540, _u20541)) = _u20540) )).
% 12.21/12.47 cnf(matrix-8132, plain, ( ( c_List_Oreplicate(_u20542, hAPP(c_Nat_OSuc, _u20543), _u20544) = hAPP(hAPP(c_List_Olist_OCons(_u20542), _u20544), c_List_Oreplicate(_u20542, _u20543, _u20544))) )).
% 12.21/12.47 cnf(matrix-8133, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20545), c_List_Oreplicate(_u20545, _u20546, _u20547)), hAPP(hAPP(c_List_Olist_OCons(_u20545), _u20547), _u20548)) = hAPP(hAPP(c_List_Olist_OCons(_u20545), _u20547), hAPP(hAPP(c_List_Oappend(_u20545), c_List_Oreplicate(_u20545, _u20546, _u20547)), _u20548))) )).
% 12.21/12.47 cnf(matrix-8134, plain, ( ( hAPP(c_List_Orev(_u20549), c_List_Oreplicate(_u20549, _u20550, _u20551)) = c_List_Oreplicate(_u20549, _u20550, _u20551)) )).
% 12.21/12.47 cnf(matrix-8135, plain, ( ( c_List_Oreplicate(_u20552, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20553), _u20554), _u20555) = hAPP(hAPP(c_List_Oappend(_u20552), c_List_Oreplicate(_u20552, _u20553, _u20555)), c_List_Oreplicate(_u20552, _u20554, _u20555))) )).
% 12.21/12.47 cnf(matrix-8136, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20556), c_List_Oreplicate(_u20556, _u20557, _u20558)), c_List_Oreplicate(_u20556, _u20559, _u20558)) = hAPP(hAPP(c_List_Oappend(_u20556), c_List_Oreplicate(_u20556, _u20559, _u20558)), c_List_Oreplicate(_u20556, _u20557, _u20558))) )).
% 12.21/12.47 cnf(matrix-8137, plain, ( ( _u20560 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u20561, c_List_Oreplicate(_u20561, _u20560, _u20562)) = _u20562) )).
% 12.21/12.47 cnf(matrix-8138, plain, ( ( hAPP(hAPP(c_List_Otake(_u20563), _u20564), c_List_Oreplicate(_u20563, _u20565, _u20566)) = c_List_Oreplicate(_u20563, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u20564), _u20565), _u20566)) )).
% 12.21/12.47 cnf(matrix-8139, plain, ( ( _u20567 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u20568), c_List_Oreplicate(_u20568, _u20567, _u20569)) = _u20569) )).
% 12.21/12.47 cnf(matrix-8140, plain, ( ( hAPP(hAPP(c_List_Odrop(_u20570), _u20571), c_List_Oreplicate(_u20570, _u20572, _u20573)) = c_List_Oreplicate(_u20570, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20572), _u20571), _u20573)) )).
% 12.21/12.47 cnf(matrix-8141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20574), _u20575)) | ( hAPP(hAPP(c_List_Onth(_u20576), c_List_Oreplicate(_u20576, _u20575, _u20577)), _u20574) = _u20577) )).
% 12.21/12.47 cnf(matrix-8142, plain, ( ( c_List_Oreplicate(_u20583, _u20585, _u20587) != c_List_Oreplicate(_u20583, _u20589, _u20591)) | ( _u20585 = _u20589) )).
% 12.21/12.47 cnf(matrix-8143, plain, ( ( c_List_Oreplicate(_u20583, _u20585, _u20587) != c_List_Oreplicate(_u20583, _u20589, _u20591)) | ( _u20585 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u20587 = _u20591) )).
% 12.21/12.47 cnf(matrix-8144, plain, ( ( c_List_Oreplicate(_u20584, _u20586, _u20588) = c_List_Oreplicate(_u20584, _u20590, _u20592)) | ( _u20586 != _u20590) | ( _u20586 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8145, plain, ( ( c_List_Oreplicate(_u20584, _u20586, _u20588) = c_List_Oreplicate(_u20584, _u20590, _u20592)) | ( _u20586 != _u20590) | ( _u20588 != _u20592) )).
% 12.21/12.47 cnf(matrix-8146, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20599), _u20593), hAPP(c_List_Oset(_u20599), c_List_Oreplicate(_u20599, _u20601, _u20603)))) | ~hBOOL(hAPP(_u20605, _u20593)) | hBOOL(hAPP(_u20605, _u20603)) )).
% 12.21/12.47 cnf(matrix-8147, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20599), _u20593), hAPP(c_List_Oset(_u20599), c_List_Oreplicate(_u20599, _u20601, _u20603)))) | ~hBOOL(hAPP(_u20605, _u20593)) | ( _u20601 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8148, plain, ( ~hBOOL(hAPP(_u20606, _u20604)) | ( _u20602 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20600), skolem529(_u20606, _u20604, _u20602, _u20600)), hAPP(c_List_Oset(_u20600), c_List_Oreplicate(_u20600, _u20602, _u20604)))) )).
% 12.21/12.47 cnf(matrix-8149, plain, ( ~hBOOL(hAPP(_u20606, _u20604)) | ( _u20602 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u20606, skolem529(_u20606, _u20604, _u20602, _u20600))) )).
% 12.21/12.47 cnf(matrix-8150, plain, ( hBOOL(hAPP(_u20619, _u20617)) | ( _u20615 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20613), skolem530(_u20619, _u20617, _u20615, _u20613)), hAPP(c_List_Oset(_u20613), c_List_Oreplicate(_u20613, _u20615, _u20617)))) )).
% 12.21/12.47 cnf(matrix-8151, plain, ( hBOOL(hAPP(_u20619, _u20617)) | ( _u20615 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u20619, skolem530(_u20619, _u20617, _u20615, _u20613))) )).
% 12.21/12.47 cnf(matrix-8152, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20614), _u20608), hAPP(c_List_Oset(_u20614), c_List_Oreplicate(_u20614, _u20616, _u20618)))) | hBOOL(hAPP(_u20620, _u20608)) | ~hBOOL(hAPP(_u20620, _u20618)) )).
% 12.21/12.47 cnf(matrix-8153, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20614), _u20608), hAPP(c_List_Oset(_u20614), c_List_Oreplicate(_u20614, _u20616, _u20618)))) | hBOOL(hAPP(_u20620, _u20608)) | ( _u20616 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8154, plain, ( ( hAPP(hAPP(c_List_Omap(_u20621, _u20622), _u20623), c_List_Oreplicate(_u20621, _u20624, _u20625)) = c_List_Oreplicate(_u20622, _u20624, hAPP(_u20623, _u20625))) )).
% 12.21/12.47 cnf(matrix-8155, plain, ( ( _u20631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u20629, _u20631, _u20633) != c_List_Olist_ONil(_u20629)) )).
% 12.21/12.47 cnf(matrix-8156, plain, ( ( _u20632 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u20630, _u20632, _u20634) = c_List_Olist_ONil(_u20630)) )).
% 12.21/12.47 cnf(matrix-8157, plain, ( ( _u20640 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u20638) != c_List_Oreplicate(_u20638, _u20640, _u20642)) )).
% 12.21/12.47 cnf(matrix-8158, plain, ( ( _u20641 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u20639) = c_List_Oreplicate(_u20639, _u20641, _u20643)) )).
% 12.21/12.47 cnf(matrix-8159, plain, ( ( c_List_Oreplicate(_u20644, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20645) = c_List_Olist_ONil(_u20644)) )).
% 12.21/12.47 cnf(matrix-8160, plain, ( ( c_List_Oconcat(_u20646, c_List_Oreplicate(tc_List_Olist(_u20646), _u20647, c_List_Olist_ONil(_u20646))) = c_List_Olist_ONil(_u20646)) )).
% 12.21/12.47 cnf(matrix-8161, plain, ( ~hBOOL(hAPP(_u20652, _u20654)) | ( hAPP(c_List_Ofilter(_u20656, _u20652), c_List_Oreplicate(_u20656, _u20658, _u20654)) = c_List_Oreplicate(_u20656, _u20658, _u20654)) )).
% 12.21/12.47 cnf(matrix-8162, plain, ( hBOOL(hAPP(_u20653, _u20655)) | ( hAPP(c_List_Ofilter(_u20657, _u20653), c_List_Oreplicate(_u20657, _u20659, _u20655)) = c_List_Olist_ONil(_u20657)) )).
% 12.21/12.47 cnf(matrix-8163, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20664), _u20666), hAPP(c_List_Oset(_u20664), c_List_Oreplicate(_u20664, _u20668, _u20670)))) | ( _u20666 = _u20670) )).
% 12.21/12.47 cnf(matrix-8164, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20664), _u20666), hAPP(c_List_Oset(_u20664), c_List_Oreplicate(_u20664, _u20668, _u20670)))) | ( _u20668 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8165, plain, ( ( _u20667 != _u20671) | ( _u20669 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20665), _u20667), hAPP(c_List_Oset(_u20665), c_List_Oreplicate(_u20665, _u20669, _u20671)))) )).
% 12.21/12.47 cnf(matrix-8166, plain, ( ( hAPP(hAPP(c_List_Ozip(_u20672, _u20673), c_List_Oreplicate(_u20672, _u20674, _u20675)), c_List_Oreplicate(_u20673, _u20676, _u20677)) = c_List_Oreplicate(tc_prod(_u20672, _u20673), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u20674), _u20676), hAPP(hAPP(c_Product__Type_OPair(_u20672, _u20673), _u20675), _u20677))) )).
% 12.21/12.47 cnf(matrix-8167, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20678), hAPP(c_COMBK(_u20678, tc_Nat_Onat), _u20679)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20680)) = c_List_Oreplicate(_u20678, _u20680, _u20679)) )).
% 12.21/12.47 cnf(matrix-8168, plain, ( ( _u20684 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20686), c_List_Oreplicate(_u20686, _u20684, _u20688)) = c_Orderings_Obot__class_Obot(tc_fun(_u20686, tc_HOL_Obool))) )).
% 12.21/12.47 cnf(matrix-8169, plain, ( ( _u20685 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20687), c_List_Oreplicate(_u20687, _u20685, _u20689)) = hAPP(hAPP(c_Set_Oinsert(_u20687), _u20689), c_Orderings_Obot__class_Obot(tc_fun(_u20687, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-8170, plain, ( ( _u20690 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20691), c_List_Oreplicate(_u20691, _u20690, _u20692)) = hAPP(hAPP(c_Set_Oinsert(_u20691), _u20692), c_Orderings_Obot__class_Obot(tc_fun(_u20691, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-8171, plain, ( ( hAPP(c_List_Oset(_u20693), c_List_Oreplicate(_u20693, hAPP(c_Nat_OSuc, _u20694), _u20695)) = hAPP(hAPP(c_Set_Oinsert(_u20693), _u20695), c_Orderings_Obot__class_Obot(tc_fun(_u20693, tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-8172, plain, ( ~class_Fields_Olinordered__field(_u20697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20697), _u20698), _u20699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20697), c_Groups_Ozero__class_Ozero(_u20697)), skolem531(_u20699, _u20698, _u20697))) )).
% 12.21/12.47 cnf(matrix-8173, plain, ( ~class_Fields_Olinordered__field(_u20697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20697), _u20698), _u20699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20697), _u20698), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20697), _u20699), skolem531(_u20699, _u20698, _u20697)))) )).
% 12.21/12.47 cnf(matrix-8174, plain, ( c_Relation_Orefl__on(_u20703, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(_u20703, tc_HOL_Obool)), _u20702), _u20704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(tc_prod(_u20703, _u20703), tc_HOL_Obool)), _u20702), _u20705)) | hBOOL(hAPP(hAPP(c_member(_u20701), skolem532(_u20705, _u20704, _u20703, _u20702, _u20701)), _u20702)) )).
% 12.21/12.47 cnf(matrix-8175, plain, ( c_Relation_Orefl__on(_u20703, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(_u20703, tc_HOL_Obool)), _u20702), _u20704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20701, tc_fun(tc_prod(_u20703, _u20703), tc_HOL_Obool)), _u20702), _u20705)) | ~c_Relation_Orefl__on(_u20703, hAPP(_u20704, skolem532(_u20705, _u20704, _u20703, _u20702, _u20701)), hAPP(_u20705, skolem532(_u20705, _u20704, _u20703, _u20702, _u20701))) )).
% 12.21/12.47 cnf(matrix-8176, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20709), _u20711), _u20713)) | hBOOL(hAPP(hAPP(c_member(_u20709), _u20713), hAPP(c_List_Oset(_u20709), _u20711))) )).
% 12.21/12.47 cnf(matrix-8177, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20710), _u20714), hAPP(c_List_Oset(_u20710), _u20712))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20710), _u20712), _u20714)) )).
% 12.21/12.47 cnf(matrix-8178, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20718), _u20720), hAPP(c_List_Oset(_u20718), _u20722))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20718), _u20722), _u20720)) )).
% 12.21/12.47 cnf(matrix-8179, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20719), _u20723), _u20721)) | hBOOL(hAPP(hAPP(c_member(_u20719), _u20721), hAPP(c_List_Oset(_u20719), _u20723))) )).
% 12.21/12.47 cnf(matrix-8180, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20728), hAPP(hAPP(c_List_Olist_OCons(_u20728), _u20730), _u20732)), _u20734)) | ( _u20730 = _u20734) | hBOOL(hAPP(hAPP(c_List_Omember(_u20728), _u20732), _u20734)) )).
% 12.21/12.47 cnf(matrix-8181, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20729), hAPP(hAPP(c_List_Olist_OCons(_u20729), _u20731), _u20733)), _u20735)) | ( _u20731 != _u20735) )).
% 12.21/12.47 cnf(matrix-8182, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20729), hAPP(hAPP(c_List_Olist_OCons(_u20729), _u20731), _u20733)), _u20735)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u20729), _u20733), _u20735)) )).
% 12.21/12.47 cnf(matrix-8183, plain, ( ( c_List_Omember(_u20736) = c_List_Oset(_u20736)) )).
% 12.21/12.47 cnf(matrix-8184, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20737), c_List_Olist_ONil(_u20737)), _u20738)) )).
% 12.21/12.47 cnf(matrix-8185, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u20739, _u20740, _u20741, _u20742, c_Nitpick_Opair__box_OPairBox(_u20739, _u20740, _u20743, _u20744)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20741, _u20743)), hAPP(_u20742, _u20744))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.21/12.47 cnf(matrix-8186, plain, ( ~c_List_Olist__ex1(_u20752, _u20754, _u20756) | hBOOL(hAPP(hAPP(c_member(_u20752), skolem533(_u20756, _u20754, _u20752)), hAPP(c_List_Oset(_u20752), _u20756))) )).
% 12.21/12.47 cnf(matrix-8187, plain, ( ~c_List_Olist__ex1(_u20752, _u20754, _u20756) | hBOOL(hAPP(_u20754, skolem533(_u20756, _u20754, _u20752))) )).
% 12.21/12.47 cnf(matrix-8188, plain, ( ~c_List_Olist__ex1(_u20752, _u20754, _u20756) | ~hBOOL(hAPP(hAPP(c_member(_u20752), _u20745), hAPP(c_List_Oset(_u20752), _u20756))) | ~hBOOL(hAPP(_u20754, _u20745)) | ( _u20745 = skolem533(_u20756, _u20754, _u20752)) )).
% 12.21/12.47 cnf(matrix-8189, plain, ( c_List_Olist__ex1(_u20753, _u20755, _u20757) | ~hBOOL(hAPP(hAPP(c_member(_u20753), _u20748), hAPP(c_List_Oset(_u20753), _u20757))) | ~hBOOL(hAPP(_u20755, _u20748)) | hBOOL(hAPP(hAPP(c_member(_u20753), skolem534(_u20757, _u20755, _u20753, _u20748)), hAPP(c_List_Oset(_u20753), _u20757))) )).
% 12.21/12.47 cnf(matrix-8190, plain, ( c_List_Olist__ex1(_u20753, _u20755, _u20757) | ~hBOOL(hAPP(hAPP(c_member(_u20753), _u20748), hAPP(c_List_Oset(_u20753), _u20757))) | ~hBOOL(hAPP(_u20755, _u20748)) | hBOOL(hAPP(_u20755, skolem534(_u20757, _u20755, _u20753, _u20748))) )).
% 12.21/12.47 cnf(matrix-8191, plain, ( c_List_Olist__ex1(_u20753, _u20755, _u20757) | ~hBOOL(hAPP(hAPP(c_member(_u20753), _u20748), hAPP(c_List_Oset(_u20753), _u20757))) | ~hBOOL(hAPP(_u20755, _u20748)) | ( skolem534(_u20757, _u20755, _u20753, _u20748) != _u20748) )).
% 12.21/12.47 cnf(matrix-8192, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20768, _u20770) != c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20772, _u20774)) | ( _u20768 = _u20772) )).
% 12.21/12.47 cnf(matrix-8193, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20768, _u20770) != c_Nitpick_Opair__box_OPairBox(_u20764, _u20766, _u20772, _u20774)) | ( _u20770 = _u20774) )).
% 12.21/12.47 cnf(matrix-8194, plain, ( ( _u20769 != _u20773) | ( _u20771 != _u20775) | ( c_Nitpick_Opair__box_OPairBox(_u20765, _u20767, _u20769, _u20771) = c_Nitpick_Opair__box_OPairBox(_u20765, _u20767, _u20773, _u20775)) )).
% 12.21/12.47 cnf(matrix-8195, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u20776, _u20777)), c_Nitpick_Opair__box_OPairBox(_u20776, _u20777, _u20778, _u20779)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8196, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u20780, _u20781, _u20782, _u20783, c_Nitpick_Opair__box_OPairBox(_u20780, _u20781, _u20784, _u20785)) = hAPP(hAPP(_u20783, _u20784), _u20785)) )).
% 12.21/12.47 cnf(matrix-8197, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u20786, _u20787, _u20788, _u20789, c_Nitpick_Opair__box_OPairBox(_u20786, _u20787, _u20790, _u20791)) = hAPP(hAPP(_u20789, _u20790), _u20791)) )).
% 12.21/12.47 cnf(matrix-8198, plain, ( ( c_FunDef_OTHE__default(_u20801, _u20803, _u20799) = c_HOL_OThe(_u20801, _u20799)) | ~hBOOL(hAPP(_u20799, _u20793)) | hBOOL(hAPP(_u20799, skolem535(_u20803, _u20801, _u20799, _u20793))) )).
% 12.21/12.47 cnf(matrix-8199, plain, ( ( c_FunDef_OTHE__default(_u20801, _u20803, _u20799) = c_HOL_OThe(_u20801, _u20799)) | ~hBOOL(hAPP(_u20799, _u20793)) | ( skolem535(_u20803, _u20801, _u20799, _u20793) != _u20793) )).
% 12.21/12.47 cnf(matrix-8200, plain, ( ( c_FunDef_OTHE__default(_u20802, _u20804, _u20800) = _u20804) | hBOOL(hAPP(_u20800, skolem536(_u20804, _u20802, _u20800))) )).
% 12.21/12.47 cnf(matrix-8201, plain, ( ( c_FunDef_OTHE__default(_u20802, _u20804, _u20800) = _u20804) | ~hBOOL(hAPP(_u20800, _u20794)) | ( _u20794 = skolem536(_u20804, _u20802, _u20800)) )).
% 12.21/12.47 cnf(matrix-8202, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem538(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.47 cnf(matrix-8203, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem539(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.47 cnf(matrix-8204, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( skolem538(_u20812, _u20811, _u20810, _u20809) != skolem539(_u20812, _u20811, _u20810, _u20809)) )).
% 12.21/12.47 cnf(matrix-8205, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem538(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.47 cnf(matrix-8206, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem539(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.47 cnf(matrix-8207, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem537(_u20812, _u20811, _u20810, _u20809)), _u20811)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( hAPP(_u20812, skolem540(_u20812, _u20811, _u20810, _u20809)) != c_Groups_Ozero__class_Ozero(_u20809)) )).
% 12.21/12.47 cnf(matrix-8208, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem538(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.47 cnf(matrix-8209, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20810, tc_HOL_Obool)), skolem539(_u20812, _u20811, _u20810, _u20809)), _u20811)) )).
% 12.21/12.47 cnf(matrix-8210, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( skolem538(_u20812, _u20811, _u20810, _u20809) != skolem539(_u20812, _u20811, _u20810, _u20809)) )).
% 12.21/12.47 cnf(matrix-8211, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem538(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.47 cnf(matrix-8212, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem540(_u20812, _u20811, _u20810, _u20809)), skolem539(_u20812, _u20811, _u20810, _u20809))) )).
% 12.21/12.47 cnf(matrix-8213, plain, ( ~class_Groups_Ocomm__monoid__add(_u20809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20810, tc_HOL_Obool)), _u20811)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20810), skolem537(_u20812, _u20811, _u20810, _u20809))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20810, tc_HOL_Obool), _u20811)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20810, tc_HOL_Obool), _u20809), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20810, _u20809), _u20812)), _u20811)) | ( hAPP(_u20812, skolem540(_u20812, _u20811, _u20810, _u20809)) != c_Groups_Ozero__class_Ozero(_u20809)) )).
% 12.21/12.47 cnf(matrix-8214, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20814, tc_fun(_u20815, tc_fun(_u20816, tc_HOL_Obool))), _u20817), _u20818), _u20819), _u20820)) | hBOOL(hAPP(hAPP(c_member(_u20814), skolem541(_u20820, _u20819, _u20818, _u20817, _u20816, _u20815, _u20814)), _u20817)) )).
% 12.21/12.47 cnf(matrix-8215, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20814, tc_fun(_u20815, tc_fun(_u20816, tc_HOL_Obool))), _u20817), _u20818), _u20819), _u20820)) | hBOOL(hAPP(hAPP(hAPP(_u20818, skolem541(_u20820, _u20819, _u20818, _u20817, _u20816, _u20815, _u20814)), _u20819), _u20820)) )).
% 12.21/12.47 cnf(matrix-8216, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20822, tc_fun(_u20827, tc_fun(_u20828, tc_HOL_Obool))), _u20823), _u20824), _u20825), _u20826)) | hBOOL(hAPP(hAPP(c_member(_u20822), skolem542(_u20828, _u20827, _u20826, _u20825, _u20824, _u20823, _u20822)), _u20823)) )).
% 12.21/12.47 cnf(matrix-8217, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20822, tc_fun(_u20827, tc_fun(_u20828, tc_HOL_Obool))), _u20823), _u20824), _u20825), _u20826)) | ~hBOOL(hAPP(hAPP(hAPP(_u20824, skolem542(_u20828, _u20827, _u20826, _u20825, _u20824, _u20823, _u20822)), _u20825), _u20826)) )).
% 12.21/12.47 cnf(matrix-8218, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20831)), _u20832)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20831)), _u20829), _u20832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20831)), _u20829)), skolem543(_u20832, _u20831))) )).
% 12.21/12.47 cnf(matrix-8219, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20833, _u20834), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20833)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8220, plain, ( ( c_Lazy__Sequence_Ohb__map(_u20835, _u20836, _u20837, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(_u20835))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(_u20836))) )).
% 12.21/12.47 cnf(matrix-8221, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20838) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20838, _u20839, _u20840)) )).
% 12.21/12.47 cnf(matrix-8222, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20841, _u20842, _u20843) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20841)) )).
% 12.21/12.47 cnf(matrix-8223, plain, ( ( c_Lazy__Sequence_Oappend(_u20844, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20844), _u20845) = _u20845) )).
% 12.21/12.47 cnf(matrix-8224, plain, ( ( c_Lazy__Sequence_Ohb__flat(_u20846, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20846))))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(_u20846))) )).
% 12.21/12.47 cnf(matrix-8225, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20847, _u20848, _u20849, _u20850, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20848)) = _u20849) )).
% 12.21/12.47 cnf(matrix-8226, plain, ( ( hAPP(c_Lazy__Sequence_Oyield(_u20851), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20851)) = c_Option_Ooption_ONone(tc_prod(_u20851, tc_Lazy__Sequence_Olazy__sequence(_u20851)))) )).
% 12.21/12.47 cnf(matrix-8227, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20852)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20852)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.21/12.47 cnf(matrix-8228, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u20856, c_List_Oupto(_u20858, _u20860)) | c_List_Oall__interval__int(_u20856, _u20858, _u20860) )).
% 12.21/12.47 cnf(matrix-8229, plain, ( ~c_List_Oall__interval__int(_u20857, _u20859, _u20861) | c_List_Olist__all(tc_Int_Oint, _u20857, c_List_Oupto(_u20859, _u20861)) )).
% 12.21/12.47 cnf(matrix-8230, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u20865, c_List_Oupto(_u20867, _u20869)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20865), _u20867, _u20869) )).
% 12.21/12.47 cnf(matrix-8231, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20866), _u20868, _u20870) | c_List_Olist__ex(tc_Int_Oint, _u20866, c_List_Oupto(_u20868, _u20870)) )).
% 12.21/12.47 cnf(matrix-8232, plain, ( ~c_List_Oall__interval__int(_u20876, _u20878, _u20880) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20871), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20878, _u20880))) | hBOOL(hAPP(_u20876, _u20871)) )).
% 12.21/12.47 cnf(matrix-8233, plain, ( c_List_Oall__interval__int(_u20877, _u20879, _u20881) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem544(_u20881, _u20879, _u20877)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20879, _u20881))) )).
% 12.21/12.47 cnf(matrix-8234, plain, ( c_List_Oall__interval__int(_u20877, _u20879, _u20881) | ~hBOOL(hAPP(_u20877, skolem544(_u20881, _u20879, _u20877))) )).
% 12.21/12.47 cnf(matrix-8235, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20882, _u20883, _u20884, c_Code__Numeral_OSuc__code__numeral(_u20885)) = hAPP(hAPP(_u20884, _u20885), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20882, _u20883, _u20884, _u20885))) )).
% 12.21/12.47 cnf(matrix-8236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20890), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20892, _u20894, _u20890, _u20896) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20892)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20892))) )).
% 12.21/12.47 cnf(matrix-8237, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20891), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20893, _u20895, _u20891, _u20897) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20895, _u20897)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20893, _u20895, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20891), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20897))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893))))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20893)), hAPP(hAPP(c_COMBB(_u20893, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20893)))), tc_prod(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20893)), c_Product__Type_Ofst(_u20893, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.21/12.47 cnf(matrix-8238, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20898, _u20899, _u20900, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u20899) )).
% 12.21/12.47 cnf(matrix-8239, plain, ( ( c_Random__Sequence_Oempty(_u20901, _u20902, _u20903) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20901)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20901))) )).
% 12.21/12.47 cnf(matrix-8240, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20904), _u20905), _u20906), _u20907) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20904)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20904), _u20905))) )).
% 12.21/12.47 cnf(matrix-8241, plain, ( ( c_Random__Sequence_Omap(_u20908, _u20909, _u20910, _u20911) = c_Random__Sequence_Obind(_u20908, _u20909, _u20911, hAPP(c_Fun_Ocomp(_u20909, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20909)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20908, c_Random__Sequence_Osingle(_u20909)), _u20910))) )).
% 12.21/12.47 cnf(matrix-8242, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20912), tc_Option_Ooption(_u20913), tc_sum(_u20914, _u20915), hAPP(c_Option_Omap(_u20912, _u20913), _u20916)), c_Sum__Type_Osum_Osum__case(_u20914, tc_Option_Ooption(_u20912), _u20915, _u20917, _u20918)) = c_Sum__Type_Osum_Osum__case(_u20914, tc_Option_Ooption(_u20913), _u20915, hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20912), tc_Option_Ooption(_u20913), _u20914, hAPP(c_Option_Omap(_u20912, _u20913), _u20916)), _u20917), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20912), tc_Option_Ooption(_u20913), _u20915, hAPP(c_Option_Omap(_u20912, _u20913), _u20916)), _u20918))) )).
% 12.21/12.47 cnf(matrix-8243, plain, ( ( hAPP(c_Sum__Type_Osum_Osum__case(_u20919, _u20920, _u20921, hAPP(c_COMBK(_u20920, _u20919), _u20922), hAPP(c_COMBK(_u20920, _u20921), _u20922)), _u20923) = _u20922) )).
% 12.21/12.47 cnf(matrix-8244, plain, ( ( c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20927, _u20928) != c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20929, _u20930)) | ( _u20927 = _u20929) )).
% 12.21/12.47 cnf(matrix-8245, plain, ( ( c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20927, _u20928) != c_Sum__Type_Osum_Osum__case(_u20924, _u20925, _u20926, _u20929, _u20930)) | ( _u20928 = _u20930) )).
% 12.21/12.47 cnf(matrix-8246, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8247, plain, ( ~class_Lattices_Obounded__lattice(_u20931) | class_Lattices_Obounded__lattice(tc_fun(_u20932, _u20931)) )).
% 12.21/12.47 cnf(matrix-8248, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20933) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20934, _u20933)) )).
% 12.21/12.47 cnf(matrix-8249, plain, ( ~class_Lattices_Obounded__lattice(_u20935) | class_Lattices_Obounded__lattice__top(tc_fun(_u20936, _u20935)) )).
% 12.21/12.47 cnf(matrix-8250, plain, ( ~class_Lattices_Obounded__lattice(_u20937) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20938, _u20937)) )).
% 12.21/12.47 cnf(matrix-8251, plain, ( ~class_Lattices_Olattice(_u20939) | class_Lattices_Osemilattice__sup(tc_fun(_u20940, _u20939)) )).
% 12.21/12.47 cnf(matrix-8252, plain, ( ~class_Lattices_Olattice(_u20941) | class_Lattices_Osemilattice__inf(tc_fun(_u20942, _u20941)) )).
% 12.21/12.47 cnf(matrix-8253, plain, ( ~class_Lattices_Odistrib__lattice(_u20943) | class_Lattices_Odistrib__lattice(tc_fun(_u20944, _u20943)) )).
% 12.21/12.47 cnf(matrix-8254, plain, ( ~class_Lattices_Oboolean__algebra(_u20945) | class_Lattices_Oboolean__algebra(tc_fun(_u20946, _u20945)) )).
% 12.21/12.47 cnf(matrix-8255, plain, ( ~class_Orderings_Opreorder(_u20947) | class_Orderings_Opreorder(tc_fun(_u20948, _u20947)) )).
% 12.21/12.47 cnf(matrix-8256, plain, ( ~class_Finite__Set_Ofinite(_u20949) | ~class_Finite__Set_Ofinite(_u20950) | class_Finite__Set_Ofinite(tc_fun(_u20949, _u20950)) )).
% 12.21/12.47 cnf(matrix-8257, plain, ( ~class_Lattices_Olattice(_u20951) | class_Lattices_Olattice(tc_fun(_u20952, _u20951)) )).
% 12.21/12.47 cnf(matrix-8258, plain, ( ~class_Orderings_Oorder(_u20953) | class_Orderings_Oorder(tc_fun(_u20954, _u20953)) )).
% 12.21/12.47 cnf(matrix-8259, plain, ( ~class_Orderings_Otop(_u20955) | class_Orderings_Otop(tc_fun(_u20956, _u20955)) )).
% 12.21/12.47 cnf(matrix-8260, plain, ( ~class_Orderings_Oord(_u20957) | class_Orderings_Oord(tc_fun(_u20958, _u20957)) )).
% 12.21/12.47 cnf(matrix-8261, plain, ( ~class_Orderings_Obot(_u20959) | class_Orderings_Obot(tc_fun(_u20960, _u20959)) )).
% 12.21/12.47 cnf(matrix-8262, plain, ( ~class_Groups_Ouminus(_u20961) | class_Groups_Ouminus(tc_fun(_u20962, _u20961)) )).
% 12.21/12.47 cnf(matrix-8263, plain, ( ~class_Groups_Ominus(_u20963) | class_Groups_Ominus(tc_fun(_u20964, _u20963)) )).
% 12.21/12.47 cnf(matrix-8264, plain, ( ~class_Enum_Oenum(_u20965) | ~class_HOL_Oequal(_u20966) | class_HOL_Oequal(tc_fun(_u20965, _u20966)) )).
% 12.21/12.47 cnf(matrix-8265, plain, ( ~class_Enum_Oenum(_u20967) | ~class_Enum_Oenum(_u20968) | class_Enum_Oenum(tc_fun(_u20967, _u20968)) )).
% 12.21/12.47 cnf(matrix-8266, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8267, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8268, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8269, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8270, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8271, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8272, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8273, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8274, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8275, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8276, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8277, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8278, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8279, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8280, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8281, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8282, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8283, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8284, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8285, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8286, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8287, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8288, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8289, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8290, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8291, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8292, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8293, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8294, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8295, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8296, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8297, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8298, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8299, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8300, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8301, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8302, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8303, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8304, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8305, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8306, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8307, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8308, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8309, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8310, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8311, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8312, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8313, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8314, plain, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8315, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8316, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8317, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8318, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8319, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8320, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8321, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8322, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8323, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8324, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8325, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8326, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8327, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8328, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8329, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8330, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8331, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8332, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8333, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8334, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8335, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8336, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8337, plain, ( class_HOL_Oequal(tc_Int_Oint) )).
% 12.21/12.47 cnf(matrix-8338, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8339, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8340, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8341, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8342, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8343, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8344, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8345, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8346, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8347, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8348, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8349, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8350, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8351, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8352, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8353, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8354, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8355, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8356, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8357, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8358, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8359, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8360, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8361, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8362, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8363, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8364, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8365, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8366, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8367, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8368, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8369, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8370, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8371, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8372, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8373, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8374, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8375, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8376, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8377, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8378, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8379, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8380, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8381, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8382, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8383, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8384, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8385, plain, ( class_HOL_Oequal(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8386, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.21/12.47 cnf(matrix-8387, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8388, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8389, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8390, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8391, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8392, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8393, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8394, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8395, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8396, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8397, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8398, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8399, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8400, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8401, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8402, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8403, plain, ( class_HOL_Oequal(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8404, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8405, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.21/12.47 cnf(matrix-8406, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20969) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20969)) )).
% 12.21/12.47 cnf(matrix-8407, plain, ( class_HOL_Oequal(tc_List_Olist(_u20970)) )).
% 12.21/12.47 cnf(matrix-8408, plain, ( class_Nat_Osize(tc_List_Olist(_u20971)) )).
% 12.21/12.47 cnf(matrix-8409, plain, ( ~class_Finite__Set_Ofinite(_u20972) | ~class_Finite__Set_Ofinite(_u20973) | class_Finite__Set_Ofinite(tc_sum(_u20972, _u20973)) )).
% 12.21/12.47 cnf(matrix-8410, plain, ( class_HOL_Oequal(tc_sum(_u20974, _u20975)) )).
% 12.21/12.47 cnf(matrix-8411, plain, ( ~class_Enum_Oenum(_u20976) | ~class_Enum_Oenum(_u20977) | class_Enum_Oenum(tc_sum(_u20976, _u20977)) )).
% 12.21/12.47 cnf(matrix-8412, plain, ( class_Nat_Osize(tc_sum(_u20978, _u20979)) )).
% 12.21/12.47 cnf(matrix-8413, plain, ( ~class_Finite__Set_Ofinite(_u20980) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20980)) )).
% 12.21/12.47 cnf(matrix-8414, plain, ( class_HOL_Oequal(tc_Option_Ooption(_u20981)) )).
% 12.21/12.47 cnf(matrix-8415, plain, ( ~class_Enum_Oenum(_u20982) | class_Enum_Oenum(tc_Option_Ooption(_u20982)) )).
% 12.21/12.47 cnf(matrix-8416, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20983)) )).
% 12.21/12.47 cnf(matrix-8417, plain, ( class_HOL_Oequal(tc_Nitpick_Opair__box(_u20984, _u20985)) )).
% 12.21/12.47 cnf(matrix-8418, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20986, _u20987)) )).
% 12.21/12.47 cnf(matrix-8419, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20988) | ~class_Lazy__Sequence_Osmall__lazy(_u20989) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20988, _u20989)) )).
% 12.21/12.47 cnf(matrix-8420, plain, ( ~class_Finite__Set_Ofinite(_u20990) | ~class_Finite__Set_Ofinite(_u20991) | class_Finite__Set_Ofinite(tc_prod(_u20990, _u20991)) )).
% 12.21/12.47 cnf(matrix-8421, plain, ( ~class_Smallcheck_Osmall(_u20992) | ~class_Smallcheck_Osmall(_u20993) | class_Smallcheck_Osmall(tc_prod(_u20992, _u20993)) )).
% 12.21/12.47 cnf(matrix-8422, plain, ( class_HOL_Oequal(tc_prod(_u20994, _u20995)) )).
% 12.21/12.47 cnf(matrix-8423, plain, ( ~class_Enum_Oenum(_u20996) | ~class_Enum_Oenum(_u20997) | class_Enum_Oenum(tc_prod(_u20996, _u20997)) )).
% 12.21/12.47 cnf(matrix-8424, plain, ( class_Nat_Osize(tc_prod(_u20998, _u20999)) )).
% 12.21/12.47 cnf(matrix-8425, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.21/12.47 cnf(matrix-8426, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.21/12.47 cnf(matrix-8427, plain, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 12.21/12.47 cnf(matrix-8428, plain, ( class_HOL_Oequal(tc_Product__Type_Ounit) )).
% 12.21/12.47 cnf(matrix-8429, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.21/12.47 cnf(matrix-8430, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.21/12.47 cnf(matrix-8431, plain, ( class_HOL_Oequal(tc_Code__Evaluation_Oterm) )).
% 12.21/12.47 cnf(matrix-8432, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.21/12.47 cnf(matrix-8433, plain, ( class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(_u21000)) )).
% 12.21/12.47 cnf(matrix-8434, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u21001)) )).
% 12.21/12.47 cnf(matrix-8435, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8436, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8437, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8438, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8439, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8440, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8441, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8442, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8443, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8444, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8445, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8446, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8447, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8448, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8449, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8450, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8451, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8452, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8453, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8454, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8455, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8456, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8457, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8458, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8459, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8460, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8461, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8462, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8463, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8464, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8465, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8466, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8467, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8468, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8469, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8470, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8471, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8472, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8473, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8474, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8475, plain, ( class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8476, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.21/12.47 cnf(matrix-8477, plain, ( class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(_u21002)) )).
% 12.21/12.47 cnf(matrix-8478, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21003)) )).
% 12.21/12.47 cnf(matrix-8479, plain, ( ( hAPP(c_COMBI(_u21004), _u21005) = _u21005) )).
% 12.21/12.47 cnf(matrix-8480, plain, ( ( hAPP(hAPP(c_COMBK(_u21006, _u21007), _u21008), _u21009) = _u21008) )).
% 12.21/12.47 cnf(matrix-8481, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u21010, _u21011, _u21012), _u21013), _u21014), _u21015) = hAPP(_u21013, hAPP(_u21014, _u21015))) )).
% 12.21/12.47 cnf(matrix-8482, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21016, _u21017, _u21018), _u21019), _u21020), _u21021) = hAPP(hAPP(_u21019, _u21021), _u21020)) )).
% 12.21/12.47 cnf(matrix-8483, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21022, _u21023, _u21024), _u21025), _u21026), _u21027) = hAPP(hAPP(_u21025, _u21027), hAPP(_u21026, _u21027))) )).
% 12.21/12.47 cnf(matrix-8484, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21028), _u21029)) | ( _u21028 = _u21029) )).
% 12.21/12.47 cnf(matrix-8485, plain, ( ( _u21030 != _u21031) | hBOOL(hAPP(hAPP(c_fequal, _u21030), _u21031)) )).
% 12.21/12.47 cnf(matrix-8486, plain, ( ~hBOOL(c_fFalse) )).
% 12.21/12.47 cnf(matrix-8487, plain, ( hBOOL(c_fTrue) )).
% 12.21/12.47 cnf(matrix-8488, plain, ( ~hBOOL(hAPP(c_fNot, _u21032)) | ~hBOOL(_u21032) )).
% 12.21/12.47 cnf(matrix-8489, plain, ( hBOOL(_u21033) | hBOOL(hAPP(c_fNot, _u21033)) )).
% 12.21/12.47 cnf(matrix-8490, plain, ( ~hBOOL(_u21035) | ~hBOOL(_u21034) | hBOOL(hAPP(hAPP(c_fconj, _u21034), _u21035)) )).
% 12.21/12.47 cnf(matrix-8491, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21036), _u21037)) | hBOOL(_u21036) )).
% 12.21/12.47 cnf(matrix-8492, plain, ( hBOOL(_u21039) | ~hBOOL(hAPP(hAPP(c_fconj, _u21038), _u21039)) )).
% 12.21/12.47 cnf(matrix-8493, plain, ( ~hBOOL(_u21040) | hBOOL(hAPP(hAPP(c_fdisj, _u21040), _u21041)) )).
% 12.21/12.47 cnf(matrix-8494, plain, ( ~hBOOL(_u21042) | hBOOL(hAPP(hAPP(c_fdisj, _u21043), _u21042)) )).
% 12.21/12.47 cnf(matrix-8495, plain, ( hBOOL(_u21045) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21044), _u21045)) | hBOOL(_u21044) )).
% 12.21/12.47 cnf(matrix-8496, plain, ( hBOOL(_u21046) | hBOOL(hAPP(hAPP(c_fimplies, _u21046), _u21047)) )).
% 12.21/12.47 cnf(matrix-8497, plain, ( ~hBOOL(_u21048) | hBOOL(hAPP(hAPP(c_fimplies, _u21049), _u21048)) )).
% 12.21/12.47 cnf(matrix-8498, plain, ( hBOOL(_u21051) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21050), _u21051)) | ~hBOOL(_u21050) )).
% 12.21/12.47 cnf(matrix-8499, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-8500, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, v_ts) )).
% 12.21/12.47 cnf(matrix-8501, 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)) )).
% 12.21/12.47 cnf(matrix-8502, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 12.21/12.47 cnf(matrix-8503, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_ts) )).
% 12.21/12.47 cnf(matrix-8504, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), v_ts)) )).
% 12.21/12.47
% 12.21/12.47 % Proof stack:
% 12.21/12.47 cnf(proof-stack, plain,
% 12.21/12.47 proof_stack(
% 12.21/12.47 start(8504),
% 12.21/12.47 left_branch(0, 1044, 2, 2),
% 12.21/12.47 left_branch(0, 8502, 0, 3),
% 12.21/12.47 right_branch(3),
% 12.21/12.47 left_branch(0, 8503, 0, 4),
% 12.21/12.47 right_branch(4),
% 12.21/12.47 right_branch(2)
% 12.21/12.47 )).
% 12.21/12.47 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------